%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO873^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:13:35 AM UTC 2026 % Result : Theorem 2.52s 2.76s % Output : Proof 2.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO873^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 01:04:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.54 %----Proving TH0 % 2.52/2.76 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 2.52/2.76 % SZS status Theorem % 2.52/2.76 % SZS output start Proof % 2.52/2.76 ( % 2.52/2.76 (declare-sort $$unsorted 0) % 2.52/2.76 (declare-const tptp.c_False Bool) % 2.52/2.76 (declare-const tptp.c_In (-> $$unsorted $$unsorted Bool)) % 2.52/2.76 (declare-const tptp.c_Power (-> $$unsorted $$unsorted)) % 2.52/2.76 (declare-const tptp.c_Eps_i (-> (-> $$unsorted Bool) $$unsorted)) % 2.52/2.76 (declare-const tptp.c_Empty $$unsorted) % 2.52/2.76 (declare-const tptp.c_Repl (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 2.52/2.76 (declare-const tptp.c_Union (-> $$unsorted $$unsorted)) % 2.52/2.76 (declare-const tptp.c_Inj1 (-> $$unsorted $$unsorted)) % 2.52/2.76 (declare-const tptp.c_Unj (-> $$unsorted $$unsorted)) % 2.52/2.76 (declare-const tptp.c_V_ (-> $$unsorted $$unsorted)) % 2.52/2.76 (declare-const tptp.c_True Bool) % 2.52/2.76 (define tptp.c_not () (let ((_let_1 (@var "X0" Bool))) (lambda (@list _let_1) (=> _let_1 tptp.c_False)))) % 2.52/2.76 (define tptp.c_and () (let ((_let_1 (@var "X2" Bool))) (let ((_let_2 (@var "X1" Bool))) (let ((_let_3 (@var "X0" Bool))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (=> (=> _let_3 (=> _let_2 _let_1)) _let_1))))))) % 2.52/2.76 (define tptp.c_or () (let ((_let_1 (@var "X2" Bool))) (let ((_let_2 (@var "X1" Bool))) (let ((_let_3 (@var "X0" Bool))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (=> (=> _let_3 _let_1) (=> (=> _let_2 _let_1) _let_1)))))))) % 2.52/2.76 (define tptp.c_iff () (let ((_let_1 (@var "X0" Bool))) (let ((_let_2 (@var "X1" Bool))) (lambda (@list _let_1 _let_2) (_ (_ tptp.c_and (=> _let_1 _let_2)) (=> _let_2 _let_1)))))) % 2.52/2.76 (define tptp.c_Subq () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (_ tptp.c_In _let_2))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 2.52/2.76 (define tptp.c_TransSet () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_2) (=> (_ (_ tptp.c_In _let_2) _let_1) (_ (_ tptp.c_Subq _let_2) _let_1))))))) % 2.52/2.76 (define tptp.c_atleast2 () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_1) _let_2)) (_ tptp.c_not (_ (_ tptp.c_Subq _let_2) (_ tptp.c_Power _let_1))))))))) % 2.52/2.76 (define tptp.c_atleast3 () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_Subq _let_1) _let_2)) (_ (_ tptp.c_and (_ tptp.c_not (_ (_ tptp.c_Subq _let_2) _let_1))) (_ tptp.c_atleast2 _let_1)))))))) % 2.52/2.76 (define tptp.c_atleast4 () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_Subq _let_1) _let_2)) (_ (_ tptp.c_and (_ tptp.c_not (_ (_ tptp.c_Subq _let_2) _let_1))) (_ tptp.c_atleast3 _let_1)))))))) % 2.52/2.76 (define tptp.c_atleast5 () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_Subq _let_1) _let_2)) (_ (_ tptp.c_and (_ tptp.c_not (_ (_ tptp.c_Subq _let_2) _let_1))) (_ tptp.c_atleast4 _let_1)))))))) % 2.52/2.76 (define tptp.c_atleast6 () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_Subq _let_1) _let_2)) (_ (_ tptp.c_and (_ tptp.c_not (_ (_ tptp.c_Subq _let_2) _let_1))) (_ tptp.c_atleast5 _let_1)))))))) % 2.52/2.76 (define tptp.c_exactly2 () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_atleast2 _let_1)) (_ tptp.c_not (_ tptp.c_atleast3 _let_1)))))) % 2.52/2.76 (define tptp.c_exactly3 () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_atleast3 _let_1)) (_ tptp.c_not (_ tptp.c_atleast4 _let_1)))))) % 2.52/2.76 (define tptp.c_exactly4 () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_atleast4 _let_1)) (_ tptp.c_not (_ tptp.c_atleast5 _let_1)))))) % 2.52/2.76 (define tptp.c_exactly5 () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_atleast5 _let_1)) (_ tptp.c_not (_ tptp.c_atleast6 _let_1)))))) % 2.52/2.76 (define tptp.c_exu_i () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "X0" (-> $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (lambda (@list _let_3) (_ (_ tptp.c_and (exists (@list _let_2) _let_4)) (forall (@list _let_2 _let_1) (=> _let_4 (=> (_ _let_3 _let_1) (= _let_2 _let_1))))))))))) % 2.52/2.76 (define tptp.c_reflexive_i () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 2.52/2.76 (define tptp.c_irreflexive_i () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ tptp.c_not (_ (_ _let_2 _let_1) _let_1))))))) % 2.52/2.76 (define tptp.c_symmetric_i () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 2.52/2.76 (define tptp.c_antisymmetric_i () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_3 _let_2) _let_1) (=> (_ (_ _let_3 _let_1) _let_2) (= _let_2 _let_1))))))))) % 2.52/2.76 (define tptp.c_transitive_i () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "X2" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (_ _let_4 _let_5) (=> (_ (_ _let_3 _let_5) _let_1) (_ _let_4 _let_1))))))))))) % 2.52/2.76 (define tptp.c_eqreln_i () (let ((_let_1 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ tptp.c_reflexive_i _let_1)) (_ tptp.c_symmetric_i _let_1))) (_ tptp.c_transitive_i _let_1))))) % 2.52/2.76 (define tptp.c_per_i () (let ((_let_1 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_symmetric_i _let_1)) (_ tptp.c_transitive_i _let_1))))) % 2.52/2.76 (define tptp.c_linear_i () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (_ (_ tptp.c_or (_ (_ _let_3 _let_1) _let_2)) (_ (_ _let_3 _let_2) _let_1)))))))) % 2.52/2.76 (define tptp.c_trichotomous_or_i () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (_ (_ tptp.c_or (_ (_ tptp.c_or (_ (_ _let_3 _let_1) _let_2)) (= _let_1 _let_2))) (_ (_ _let_3 _let_2) _let_1)))))))) % 2.52/2.76 (define tptp.c_partialorder_i () (let ((_let_1 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ tptp.c_reflexive_i _let_1)) (_ tptp.c_antisymmetric_i _let_1))) (_ tptp.c_transitive_i _let_1))))) % 2.52/2.76 (define tptp.c_totalorder_i () (let ((_let_1 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_partialorder_i _let_1)) (_ tptp.c_linear_i _let_1))))) % 2.52/2.76 (define tptp.c_strictpartialorder_i () (let ((_let_1 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_irreflexive_i _let_1)) (_ tptp.c_transitive_i _let_1))))) % 2.52/2.76 (define tptp.c_stricttotalorder_i () (let ((_let_1 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_strictpartialorder_i _let_1)) (_ tptp.c_trichotomous_or_i _let_1))))) % 2.52/2.76 (define tptp.c_If_i () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X0" Bool))) (let ((_let_4 (@var "X1" $$unsorted))) (lambda (@list _let_3 _let_4 _let_1) (_ tptp.c_Eps_i (lambda (@list _let_2) (_ (_ tptp.c_or (_ (_ tptp.c_and _let_3) (= _let_2 _let_4))) (_ (_ tptp.c_and (_ tptp.c_not _let_3)) (= _let_2 _let_1))))))))))) % 2.52/2.76 (define tptp.c_exactly1of2 () (let ((_let_1 (@var "X1" Bool))) (let ((_let_2 (@var "X0" Bool))) (lambda (@list _let_2 _let_1) (_ (_ tptp.c_or (_ (_ tptp.c_and _let_2) (_ tptp.c_not _let_1))) (_ (_ tptp.c_and (_ tptp.c_not _let_2)) _let_1)))))) % 2.52/2.76 (define tptp.c_exactly1of3 () (let ((_let_1 (@var "X2" Bool))) (let ((_let_2 (@var "X1" Bool))) (let ((_let_3 (@var "X0" Bool))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.c_or (_ (_ tptp.c_and (_ (_ tptp.c_exactly1of2 _let_3) _let_2)) (_ tptp.c_not _let_1))) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ tptp.c_not _let_3)) (_ tptp.c_not _let_2))) _let_1))))))) % 2.52/2.76 (define tptp.c_nIn () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2 _let_1) (_ tptp.c_not (_ (_ tptp.c_In _let_2) _let_1)))))) % 2.52/2.76 (define tptp.c_nSubq () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2 _let_1) (_ tptp.c_not (_ (_ tptp.c_Subq _let_2) _let_1)))))) % 2.52/2.76 (define tptp.c_UPair () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (let ((_let_3 (@var "X2" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ tptp.c_Repl (_ tptp.c_Power (_ tptp.c_Power tptp.c_Empty))) (lambda (@list _let_3) (_ (_ (_ tptp.c_If_i (_ (_ tptp.c_In tptp.c_Empty) _let_3)) _let_2) _let_1)))))))) % 2.52/2.76 (define tptp.c_Sing () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.c_UPair _let_1) _let_1)))) % 2.52/2.76 (define tptp.c_binunion () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2 _let_1) (_ tptp.c_Union (_ (_ tptp.c_UPair _let_2) _let_1)))))) % 2.52/2.76 (define tptp.c_SetAdjoin () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ tptp.c_binunion _let_2) (_ tptp.c_Sing _let_1)))))) % 2.52/2.76 (define tptp.c_famunion () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.c_Union (_ (_ tptp.c_Repl _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 2.52/2.76 (define tptp.c_Sep () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X4" $$unsorted))) (let ((_let_3 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_4 (@var "X0" $$unsorted))) (let ((_let_5 (@var "X3" $$unsorted))) (let ((_let_6 (@list _let_1))) (lambda (@list _let_4 _let_3) (_ (_ (_ tptp.c_If_i (exists _let_6 (_ (_ tptp.c_and (_ (_ tptp.c_In _let_1) _let_4)) (_ _let_3 _let_1)))) (_ (_ tptp.c_Repl _let_4) (lambda _let_6 (_ (lambda (@list _let_5) (_ (_ (_ tptp.c_If_i (_ _let_3 _let_5)) _let_5) (_ tptp.c_Eps_i (lambda (@list _let_2) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_2) _let_4)) (_ _let_3 _let_2)))))) _let_1)))) tptp.c_Empty))))))))) % 2.52/2.76 (define tptp.c_ReplSep () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X2" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@list _let_1))) (let ((_let_4 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_5 (@var "X0" $$unsorted))) (lambda (@list _let_5 _let_4 _let_2) (_ (_ tptp.c_Repl (_ (_ tptp.c_Sep _let_5) (lambda _let_3 (_ _let_4 _let_1)))) (lambda _let_3 (_ _let_2 _let_1)))))))))) % 2.52/2.76 (define tptp.c_binintersect () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_1) (_ (_ tptp.c_Sep _let_3) (lambda (@list _let_2) (_ (_ tptp.c_In _let_2) _let_1)))))))) % 2.52/2.76 (define tptp.c_setminus () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_1) (_ (_ tptp.c_Sep _let_3) (lambda (@list _let_2) (_ (_ tptp.c_nIn _let_2) _let_1)))))))) % 2.52/2.76 (define tptp.c_inj () (let ((_let_1 (@var "X4" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X2" (-> $$unsorted $$unsorted)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "X0" $$unsorted))) (let ((_let_6 (_ (_ tptp.c_In _let_2) _let_5))) (let ((_let_7 (@list _let_2))) (let ((_let_8 (@var "X1" $$unsorted))) (lambda (@list _let_5 _let_8 _let_3) (_ (_ tptp.c_and (forall _let_7 (=> _let_6 (_ (_ tptp.c_In _let_4) _let_8)))) (forall _let_7 (=> _let_6 (forall (@list _let_1) (=> (_ (_ tptp.c_In _let_1) _let_5) (=> (= _let_4 (_ _let_3 _let_1)) (= _let_2 _let_1))))))))))))))))) % 2.52/2.76 (define tptp.c_bij () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X4" $$unsorted))) (let ((_let_3 (@var "X2" (-> $$unsorted $$unsorted)))) (let ((_let_4 (@var "X0" $$unsorted))) (let ((_let_5 (@var "X1" $$unsorted))) (lambda (@list _let_4 _let_5 _let_3) (_ (_ tptp.c_and (_ (_ (_ tptp.c_inj _let_4) _let_5) _let_3)) (forall (@list _let_1) (=> (_ (_ tptp.c_In _let_1) _let_5) (exists (@list _let_2) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_2) _let_4)) (= (_ _let_3 _let_2) _let_1))))))))))))) % 2.52/2.76 (define tptp.c_atleastp () (let ((_let_1 (@var "X2" (-> $$unsorted $$unsorted)))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (_ (_ (_ tptp.c_inj _let_3) _let_2) _let_1))))))) % 2.52/2.76 (define tptp.c_equip () (let ((_let_1 (@var "X2" (-> $$unsorted $$unsorted)))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (_ (_ (_ tptp.c_bij _let_3) _let_2) _let_1))))))) % 2.52/2.76 (define tptp.c_In_rec_poly_G_i () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "X3" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "X5" (-> $$unsorted $$unsorted)))) (let ((_let_5 (@var "X4" $$unsorted))) (let ((_let_6 (@var "X0" (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted)))) (let ((_let_7 (@var "X6" $$unsorted))) (lambda (@list _let_6 _let_2 _let_1) (forall (@list _let_3) (=> (forall (@list _let_5 _let_4) (=> (forall (@list _let_7) (=> (_ (_ tptp.c_In _let_7) _let_5) (_ (_ _let_3 _let_7) (_ _let_4 _let_7)))) (_ (_ _let_3 _let_5) (_ (_ _let_6 _let_5) _let_4)))) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 2.52/2.76 (define tptp.c_In_rec_poly_i () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "X0" (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted)))) (lambda (@list _let_3 _let_2) (_ tptp.c_Eps_i (lambda (@list _let_1) (_ (_ (_ tptp.c_In_rec_poly_G_i _let_3) _let_2) _let_1)))))))) % 2.52/2.76 (define tptp.c_ordsucc () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.c_binunion _let_1) (_ tptp.c_Sing _let_1))))) % 2.52/2.76 (define tptp.c_nat_p () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X2" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_2) (=> (_ _let_2 tptp.c_Empty) (=> (forall (@list _let_3) (=> (_ _let_2 _let_3) (_ _let_2 (_ tptp.c_ordsucc _let_3)))) (_ _let_2 _let_1))))))))) % 2.52/2.76 (define tptp.c_nat_primrec () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (let ((_let_3 (@var "X2" $$unsorted))) (let ((_let_4 (_ tptp.c_Union _let_3))) (let ((_let_5 (@var "X3" (-> $$unsorted $$unsorted)))) (let ((_let_6 (@var "X1" (-> $$unsorted $$unsorted $$unsorted)))) (lambda (@list _let_2 _let_6 _let_1) (_ (_ tptp.c_In_rec_poly_i (lambda (@list _let_3 _let_5) (_ (_ (_ tptp.c_If_i (_ (_ tptp.c_In _let_4) _let_3)) (_ (_ _let_6 _let_4) (_ _let_5 _let_4))) _let_2))) _let_1))))))))) % 2.52/2.76 (define tptp.c_add_nat () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_1) (_ (_ (_ tptp.c_nat_primrec _let_3) (lambda (@list (@var "X2" $$unsorted) _let_2) (_ tptp.c_ordsucc _let_2))) _let_1)))))) % 2.52/2.76 (define tptp.c_mul_nat () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_1) (_ (_ (_ tptp.c_nat_primrec tptp.c_Empty) (lambda (@list (@var "X2" $$unsorted) _let_2) (_ (_ tptp.c_add_nat _let_3) _let_2))) _let_1)))))) % 2.52/2.76 (define tptp.c_ordinal () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2) (_ (_ tptp.c_and (_ tptp.c_TransSet _let_2)) (forall (@list _let_1) (=> (_ (_ tptp.c_In _let_1) _let_2) (_ tptp.c_TransSet _let_1)))))))) % 2.52/2.76 (define tptp.c_Inj0 () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2) (_ (_ tptp.c_Repl _let_2) (lambda (@list _let_1) (_ tptp.c_Inj1 _let_1))))))) % 2.52/2.76 (define tptp.c_combine_funcs () (let ((_let_1 (@var "X4" $$unsorted))) (let ((_let_2 (_ tptp.c_Unj _let_1))) (let ((_let_3 (@var "X3" (-> $$unsorted $$unsorted)))) (let ((_let_4 (@var "X2" (-> $$unsorted $$unsorted)))) (lambda (@list (@var "X0" $$unsorted) (@var "X1" $$unsorted) _let_4 _let_3 _let_1) (_ (_ (_ tptp.c_If_i (= _let_1 (_ tptp.c_Inj0 _let_2))) (_ _let_4 _let_2)) (_ _let_3 _let_2)))))))) % 2.52/2.76 (define tptp.c_setsum () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@list _let_1))) (let ((_let_3 (@var "X1" $$unsorted))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4 _let_3) (_ (_ tptp.c_binunion (_ (_ tptp.c_Repl _let_4) (lambda _let_2 (_ tptp.c_Inj0 _let_1)))) (_ (_ tptp.c_Repl _let_3) (lambda _let_2 (_ tptp.c_Inj1 _let_1)))))))))) % 2.52/2.76 (define tptp.c_proj0 () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@list _let_1))) (let ((_let_3 (@var "X2" $$unsorted))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4) (_ (_ (_ tptp.c_ReplSep _let_4) (lambda _let_2 (exists (@list _let_3) (= (_ tptp.c_Inj0 _let_3) _let_1)))) (lambda _let_2 (_ tptp.c_Unj _let_1))))))))) % 2.52/2.76 (define tptp.c_proj1 () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@list _let_1))) (let ((_let_3 (@var "X2" $$unsorted))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4) (_ (_ (_ tptp.c_ReplSep _let_4) (lambda _let_2 (exists (@list _let_3) (= (_ tptp.c_Inj1 _let_3) _let_1)))) (lambda _let_2 (_ tptp.c_Unj _let_1))))))))) % 2.52/2.76 (define tptp.c_binrep () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ tptp.c_setsum _let_2) (_ tptp.c_Power _let_1)))))) % 2.52/2.76 (define tptp.c_lam () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X1" (-> $$unsorted $$unsorted)))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4 _let_3) (_ (_ tptp.c_famunion _let_4) (lambda (@list _let_2) (_ (_ tptp.c_Repl (_ _let_3 _let_2)) (lambda (@list _let_1) (_ (_ tptp.c_setsum _let_2) _let_1))))))))))) % 2.52/2.76 (define tptp.c_setprod () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ tptp.c_lam _let_2) (lambda (@list (@var "X2" $$unsorted)) _let_1)))))) % 2.52/2.76 (define tptp.c_ap () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@list _let_1))) (let ((_let_3 (@var "X3" $$unsorted))) (let ((_let_4 (@var "X1" $$unsorted))) (let ((_let_5 (@var "X0" $$unsorted))) (lambda (@list _let_5 _let_4) (_ (_ (_ tptp.c_ReplSep _let_5) (lambda _let_2 (exists (@list _let_3) (= _let_1 (_ (_ tptp.c_setsum _let_4) _let_3))))) (lambda _let_2 (_ tptp.c_proj1 _let_1)))))))))) % 2.52/2.76 (define tptp.c_setsum_p () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (_ tptp.c_ap _let_1))) (lambda (@list _let_1) (= (_ (_ tptp.c_setsum (_ _let_2 tptp.c_Empty)) (_ _let_2 (_ tptp.c_ordsucc tptp.c_Empty))) _let_1))))) % 2.52/2.76 (define tptp.c_tuple_p () (let ((_let_1 (@var "X4" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X2" $$unsorted))) (let ((_let_4 (@var "X0" $$unsorted))) (let ((_let_5 (@var "X1" $$unsorted))) (lambda (@list _let_4 _let_5) (forall (@list _let_3) (=> (_ (_ tptp.c_In _let_3) _let_5) (exists (@list _let_2) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_2) _let_4)) (exists (@list _let_1) (= _let_3 (_ (_ tptp.c_setsum _let_2) _let_1)))))))))))))) % 2.52/2.76 (define tptp.c_Pi () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "X2" $$unsorted))) (let ((_let_4 (@var "X0" $$unsorted))) (let ((_let_5 (@list _let_3))) (lambda (@list _let_4 _let_2) (_ (_ tptp.c_Sep (_ tptp.c_Power (_ (_ tptp.c_lam _let_4) (lambda _let_5 (_ tptp.c_Union (_ _let_2 _let_3)))))) (lambda _let_5 (forall (@list _let_1) (=> (_ (_ tptp.c_In _let_1) _let_4) (_ (_ tptp.c_In (_ (_ tptp.c_ap _let_3) _let_1)) (_ _let_2 _let_1))))))))))))) % 2.52/2.76 (define tptp.c_setexp () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (lambda (@list _let_1 _let_2) (_ (_ tptp.c_Pi _let_2) (lambda (@list (@var "X2" $$unsorted)) _let_1)))))) % 2.52/2.76 (define tptp.c_Sep2 () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (_ tptp.c_ap _let_1))) (let ((_let_3 (@var "X2" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@list _let_1))) (let ((_let_5 (@var "X1" (-> $$unsorted $$unsorted)))) (let ((_let_6 (@var "X0" $$unsorted))) (lambda (@list _let_6 _let_5 _let_3) (_ (_ tptp.c_Sep (_ (_ tptp.c_lam _let_6) (lambda _let_4 (_ _let_5 _let_1)))) (lambda _let_4 (_ (_ _let_3 (_ _let_2 tptp.c_Empty)) (_ _let_2 (_ tptp.c_ordsucc tptp.c_Empty))))))))))))) % 2.52/2.76 (define tptp.c_set_of_pairs () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X4" $$unsorted))) (let ((_let_4 (@var "X1" $$unsorted))) (let ((_let_5 (@var "X0" $$unsorted))) (lambda (@list _let_5) (forall (@list _let_4) (=> (_ (_ tptp.c_In _let_4) _let_5) (exists (@list _let_2 _let_1) (= _let_4 (_ (_ tptp.c_lam (_ tptp.c_ordsucc (_ tptp.c_ordsucc tptp.c_Empty))) (lambda (@list _let_3) (_ (_ (_ tptp.c_If_i (= _let_3 tptp.c_Empty)) _let_2) _let_1)))))))))))))) % 2.52/2.76 (define tptp.c_lam2 () (let ((_let_1 (@var "X4" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X2" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_4 (@var "X1" (-> $$unsorted $$unsorted)))) (let ((_let_5 (@var "X0" $$unsorted))) (lambda (@list _let_5 _let_4 _let_3) (_ (_ tptp.c_lam _let_5) (lambda (@list _let_2) (_ (_ tptp.c_lam (_ _let_4 _let_2)) (lambda (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 2.52/2.76 (define tptp.c_PNoEq_ () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X2" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4 _let_3 _let_2) (forall (@list _let_1) (=> (_ (_ tptp.c_In _let_1) _let_4) (_ (_ tptp.c_iff (_ _let_3 _let_1)) (_ _let_2 _let_1)))))))))) % 2.52/2.76 (define tptp.c_PNoLt_ () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X2" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4 _let_3 _let_2) (exists (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_1) _let_4)) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ (_ tptp.c_PNoEq_ _let_1) _let_3) _let_2)) (_ tptp.c_not (_ _let_3 _let_1)))) (_ _let_2 _let_1)))))))))) % 2.52/2.76 (define tptp.c_PNoLt () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X3" (-> $$unsorted Bool)))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4 _let_2 _let_1 _let_3) (_ (_ tptp.c_or (_ (_ tptp.c_or (_ (_ (_ tptp.c_PNoLt_ (_ (_ tptp.c_binintersect _let_4) _let_1)) _let_2) _let_3)) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_In _let_4) _let_1)) (_ (_ (_ tptp.c_PNoEq_ _let_4) _let_2) _let_3))) (_ _let_3 _let_4)))) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_In _let_1) _let_4)) (_ (_ (_ tptp.c_PNoEq_ _let_1) _let_2) _let_3))) (_ tptp.c_not (_ _let_2 _let_1)))))))))) % 2.52/2.76 (define tptp.c_PNoLe () (let ((_let_1 (@var "X3" (-> $$unsorted Bool)))) (let ((_let_2 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X0" $$unsorted))) (let ((_let_4 (@var "X2" $$unsorted))) (lambda (@list _let_3 _let_2 _let_4 _let_1) (_ (_ tptp.c_or (_ (_ (_ (_ tptp.c_PNoLt _let_3) _let_2) _let_4) _let_1)) (_ (_ tptp.c_and (= _let_3 _let_4)) (_ (_ (_ tptp.c_PNoEq_ _let_3) _let_2) _let_1))))))))) % 2.52/2.76 (define tptp.c_PNo_downc () (let ((_let_1 (@var "X4" (-> $$unsorted Bool)))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X2" (-> $$unsorted Bool)))) (let ((_let_4 (@var "X1" $$unsorted))) (let ((_let_5 (@var "X0" (-> $$unsorted (-> $$unsorted Bool) Bool)))) (lambda (@list _let_5 _let_4 _let_3) (exists (@list _let_2) (_ (_ tptp.c_and (_ tptp.c_ordinal _let_2)) (exists (@list _let_1) (_ (_ tptp.c_and (_ (_ _let_5 _let_2) _let_1)) (_ (_ (_ (_ tptp.c_PNoLe _let_4) _let_3) _let_2) _let_1)))))))))))) % 2.52/2.76 (define tptp.c_PNo_upc () (let ((_let_1 (@var "X2" (-> $$unsorted Bool)))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "X4" (-> $$unsorted Bool)))) (let ((_let_4 (@var "X3" $$unsorted))) (let ((_let_5 (@var "X0" (-> $$unsorted (-> $$unsorted Bool) Bool)))) (lambda (@list _let_5 _let_2 _let_1) (exists (@list _let_4) (_ (_ tptp.c_and (_ tptp.c_ordinal _let_4)) (exists (@list _let_3) (_ (_ tptp.c_and (_ (_ _let_5 _let_4) _let_3)) (_ (_ (_ (_ tptp.c_PNoLe _let_4) _let_3) _let_2) _let_1)))))))))))) % 2.52/2.76 (define tptp.c_SNoElts_ () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3) (_ (_ tptp.c_binunion _let_3) (_ (_ tptp.c_Repl _let_3) (lambda (@list _let_1) (_ (lambda (@list _let_2) (_ (_ tptp.c_SetAdjoin _let_2) (_ tptp.c_Sing (_ tptp.c_ordsucc tptp.c_Empty)))) _let_1))))))))) % 2.52/2.76 (define tptp.c_SNo_ () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (_ tptp.c_In _let_2))) (let ((_let_4 (@var "X3" $$unsorted))) (let ((_let_5 (@var "X0" $$unsorted))) (lambda (@list _let_5 _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_Subq _let_1) (_ tptp.c_SNoElts_ _let_5))) (forall (@list _let_2) (=> (_ _let_3 _let_5) (_ (_ tptp.c_exactly1of2 (_ (_ tptp.c_In (_ (lambda (@list _let_4) (_ (_ tptp.c_SetAdjoin _let_4) (_ tptp.c_Sing (_ tptp.c_ordsucc tptp.c_Empty)))) _let_2)) _let_1)) (_ _let_3 _let_1)))))))))))) % 2.52/2.76 (define tptp.c_PSNo () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@list _let_1))) (let ((_let_4 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_1))) (let ((_let_6 (@var "X0" $$unsorted))) (lambda (@list _let_6 _let_4) (_ (_ tptp.c_binunion (_ (_ tptp.c_Sep _let_6) (lambda _let_3 _let_5))) (_ (_ (_ tptp.c_ReplSep _let_6) (lambda _let_3 (_ tptp.c_not _let_5))) (lambda _let_3 (_ (lambda (@list _let_2) (_ (_ tptp.c_SetAdjoin _let_2) (_ tptp.c_Sing (_ tptp.c_ordsucc tptp.c_Empty)))) _let_1)))))))))))) % 2.52/2.76 (define tptp.c_SNo () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (lambda (@list _let_1) (exists (@list _let_2) (_ (_ tptp.c_and (_ tptp.c_ordinal _let_2)) (_ (_ tptp.c_SNo_ _let_2) _let_1))))))) % 2.52/2.76 (define tptp.c_SNoLev () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (lambda (@list _let_1) (_ tptp.c_Eps_i (lambda (@list _let_2) (_ (_ tptp.c_and (_ tptp.c_ordinal _let_2)) (_ (_ tptp.c_SNo_ _let_2) _let_1)))))))) % 2.52/2.76 (define tptp.c_SNoEq_ () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (_ tptp.c_In _let_2))) (let ((_let_4 (@list _let_2))) (let ((_let_5 (@var "X1" $$unsorted))) (let ((_let_6 (@var "X0" $$unsorted))) (lambda (@list _let_6 _let_5 _let_1) (_ (_ (_ tptp.c_PNoEq_ _let_6) (lambda _let_4 (_ _let_3 _let_5))) (lambda _let_4 (_ _let_3 _let_1))))))))))) % 2.52/2.76 (define tptp.c_SNoLt () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (_ tptp.c_In _let_2))) (let ((_let_4 (@list _let_2))) (let ((_let_5 (@var "X0" $$unsorted))) (lambda (@list _let_5 _let_1) (_ (_ (_ (_ tptp.c_PNoLt (_ tptp.c_SNoLev _let_5)) (lambda _let_4 (_ _let_3 _let_5))) (_ tptp.c_SNoLev _let_1)) (lambda _let_4 (_ _let_3 _let_1)))))))))) % 2.52/2.76 (define tptp.c_SNoLe () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (_ tptp.c_In _let_2))) (let ((_let_4 (@list _let_2))) (let ((_let_5 (@var "X0" $$unsorted))) (lambda (@list _let_5 _let_1) (_ (_ (_ (_ tptp.c_PNoLe (_ tptp.c_SNoLev _let_5)) (lambda _let_4 (_ _let_3 _let_5))) (_ tptp.c_SNoLev _let_1)) (lambda _let_4 (_ _let_3 _let_1)))))))))) % 2.52/2.76 (define tptp.c_binop_on () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X2" $$unsorted))) (let ((_let_4 (@var "X1" (-> $$unsorted $$unsorted $$unsorted)))) (lambda (@list _let_1 _let_4) (forall (@list _let_3) (=> (_ (_ tptp.c_In _let_3) _let_1) (forall (@list _let_2) (=> (_ (_ tptp.c_In _let_2) _let_1) (_ (_ tptp.c_In (_ (_ _let_4 _let_3) _let_2)) _let_1))))))))))) % 2.52/2.76 (define tptp.c_Loop () (let ((_let_1 (@var "X5" $$unsorted))) (let ((_let_2 (@var "X6" $$unsorted))) (let ((_let_3 (@var "X3" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_4 (@var "X1" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_5 (_ _let_4 _let_1))) (let ((_let_6 (_ _let_5 _let_2))) (let ((_let_7 (@var "X2" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_8 (_ _let_7 _let_1))) (let ((_let_9 (@var "X0" $$unsorted))) (let ((_let_10 (_ (_ tptp.c_In _let_1) _let_9))) (let ((_let_11 (@list _let_1))) (let ((_let_12 (@var "X4" $$unsorted))) (let ((_let_13 (_ tptp.c_binop_on _let_9))) (lambda (@list _let_9 _let_4 _let_7 _let_3 _let_12) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ _let_13 _let_4)) (_ _let_13 _let_7))) (_ _let_13 _let_3))) (forall _let_11 (=> _let_10 (_ (_ tptp.c_and (= (_ (_ _let_4 _let_12) _let_1) _let_1)) (= (_ _let_5 _let_12) _let_1)))))) (forall _let_11 (=> _let_10 (forall (@list _let_2) (=> (_ (_ tptp.c_In _let_2) _let_9) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (= (_ _let_8 _let_6) _let_2)) (= (_ _let_5 (_ _let_8 _let_2)) _let_2))) (= (_ (_ _let_3 _let_6) _let_2) _let_1))) (= (_ (_ _let_4 (_ (_ _let_3 _let_1) _let_2)) _let_2) _let_1)))))))))))))))))))))) % 2.52/2.76 (define tptp.c_Loop_with_defs () (let ((_let_1 (@var "X15" $$unsorted))) (let ((_let_2 (@var "X14" $$unsorted))) (let ((_let_3 (@var "X1" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (_ _let_4 _let_1))) (let ((_let_6 (@var "X16" $$unsorted))) (let ((_let_7 (@var "X3" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_8 (@var "X9" (-> $$unsorted $$unsorted $$unsorted $$unsorted)))) (let ((_let_9 (_ _let_3 _let_1))) (let ((_let_10 (_ _let_9 _let_2))) (let ((_let_11 (@var "X2" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_12 (_ _let_11 _let_10))) (let ((_let_13 (@var "X8" (-> $$unsorted $$unsorted $$unsorted $$unsorted)))) (let ((_let_14 (@var "X0" $$unsorted))) (let ((_let_15 (_ (_ tptp.c_In _let_6) _let_14))) (let ((_let_16 (@list _let_6))) (let ((_let_17 (_ (_ tptp.c_In _let_1) _let_14))) (let ((_let_18 (@list _let_1))) (let ((_let_19 (_ (_ tptp.c_In _let_2) _let_14))) (let ((_let_20 (@list _let_2))) (let ((_let_21 (@var "X4" $$unsorted))) (let ((_let_22 (_ _let_7 _let_21))) (let ((_let_23 (_ _let_22 _let_2))) (let ((_let_24 (@var "X13" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_25 (_ _let_11 _let_2))) (let ((_let_26 (_ _let_25 _let_21))) (let ((_let_27 (@var "X12" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_28 (@var "X11" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_29 (@var "X10" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_30 (@var "X7" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_31 (@var "X6" (-> $$unsorted $$unsorted $$unsorted $$unsorted)))) (let ((_let_32 (@var "X5" (-> $$unsorted $$unsorted $$unsorted)))) (lambda (@list _let_14 _let_3 _let_11 _let_7 _let_21 _let_32 _let_31 _let_30 _let_13 _let_8 _let_29 _let_28 _let_27 _let_24) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ (_ (_ (_ tptp.c_Loop _let_14) _let_3) _let_11) _let_7) _let_21)) (forall _let_20 (=> _let_19 (forall _let_18 (=> _let_17 (= (_ (_ _let_32 _let_2) _let_1) (_ _let_12 _let_5)))))))) (forall _let_20 (=> _let_19 (forall _let_18 (=> _let_17 (forall _let_16 (=> _let_15 (= (_ (_ (_ _let_31 _let_2) _let_1) _let_6) (_ (_ _let_11 (_ _let_4 (_ _let_9 _let_6))) (_ (_ _let_3 _let_5) _let_6))))))))))) (forall _let_20 (=> _let_19 (forall _let_18 (=> _let_17 (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (= (_ (_ _let_30 _let_2) _let_1) (_ _let_25 _let_10))) (= (_ (_ _let_29 _let_2) _let_1) (_ _let_4 (_ _let_9 _let_26))))) (= (_ (_ _let_28 _let_2) _let_1) (_ (_ _let_3 (_ (_ _let_3 _let_23) _let_1)) _let_2)))) (= (_ (_ _let_27 _let_2) _let_1) (_ (_ _let_3 (_ _let_25 _let_1)) (_ (_ _let_11 _let_26) _let_21))))) (= (_ (_ _let_24 _let_2) _let_1) (_ (_ _let_3 (_ _let_22 _let_23)) (_ (_ _let_7 _let_1) _let_2)))))))))) (forall _let_20 (=> _let_19 (forall _let_18 (=> _let_17 (forall _let_16 (=> _let_15 (_ (_ tptp.c_and (= (_ (_ (_ _let_13 _let_2) _let_1) _let_6) (_ _let_12 (_ _let_9 (_ _let_4 _let_6))))) (= (_ (_ (_ _let_8 _let_2) _let_1) _let_6) (_ (_ _let_7 (_ (_ _let_3 (_ (_ _let_3 _let_6) _let_2)) _let_1)) _let_5)))))))))))))))))))))))))))))))))))))))))))) % 2.52/2.76 (define tptp.c_Loop_with_defs_cex1 () (let ((_let_1 (@var "X4" $$unsorted))) (let ((_let_2 (@var "X17" $$unsorted))) (let ((_let_3 (@var "X14" $$unsorted))) (let ((_let_4 (@var "X16" $$unsorted))) (let ((_let_5 (@var "X15" $$unsorted))) (let ((_let_6 (@var "X8" (-> $$unsorted $$unsorted $$unsorted $$unsorted)))) (let ((_let_7 (@var "X2" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_8 (@var "X1" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_9 (@var "X5" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_10 (@var "X0" $$unsorted))) (let ((_let_11 (@var "X13" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_12 (@var "X12" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_13 (@var "X11" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_14 (@var "X10" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_15 (@var "X9" (-> $$unsorted $$unsorted $$unsorted $$unsorted)))) (let ((_let_16 (@var "X7" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_17 (@var "X6" (-> $$unsorted $$unsorted $$unsorted $$unsorted)))) (let ((_let_18 (@var "X3" (-> $$unsorted $$unsorted $$unsorted)))) (lambda (@list _let_10 _let_8 _let_7 _let_18 _let_1 _let_9 _let_17 _let_16 _let_6 _let_15 _let_14 _let_13 _let_12 _let_11) (_ (_ tptp.c_and (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ tptp.c_Loop_with_defs _let_10) _let_8) _let_7) _let_18) _let_1) _let_9) _let_17) _let_16) _let_6) _let_15) _let_14) _let_13) _let_12) _let_11)) (exists (@list _let_3) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_3) _let_10)) (exists (@list _let_5) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_5) _let_10)) (exists (@list _let_4) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_4) _let_10)) (exists (@list _let_2) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_2) _let_10)) (_ tptp.c_not (= (_ (_ _let_9 (_ (_ _let_8 (_ (_ _let_7 (_ (_ (_ _let_6 _let_5) _let_4) _let_3)) _let_1)) _let_3)) _let_2) _let_1))))))))))))))))))))))))))))))) % 2.52/2.76 (define tptp.c_Loop_with_defs_cex2 () (let ((_let_1 (@var "X4" $$unsorted))) (let ((_let_2 (@var "X17" $$unsorted))) (let ((_let_3 (@var "X14" $$unsorted))) (let ((_let_4 (@var "X16" $$unsorted))) (let ((_let_5 (@var "X15" $$unsorted))) (let ((_let_6 (@var "X9" (-> $$unsorted $$unsorted $$unsorted $$unsorted)))) (let ((_let_7 (@var "X3" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_8 (@var "X1" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_9 (@var "X18" $$unsorted))) (let ((_let_10 (@var "X6" (-> $$unsorted $$unsorted $$unsorted $$unsorted)))) (let ((_let_11 (@var "X0" $$unsorted))) (let ((_let_12 (@var "X13" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_13 (@var "X12" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_14 (@var "X11" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_15 (@var "X10" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_16 (@var "X8" (-> $$unsorted $$unsorted $$unsorted $$unsorted)))) (let ((_let_17 (@var "X7" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_18 (@var "X5" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_19 (@var "X2" (-> $$unsorted $$unsorted $$unsorted)))) (lambda (@list _let_11 _let_8 _let_19 _let_7 _let_1 _let_18 _let_10 _let_17 _let_16 _let_6 _let_15 _let_14 _let_13 _let_12) (_ (_ tptp.c_and (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ tptp.c_Loop_with_defs _let_11) _let_8) _let_19) _let_7) _let_1) _let_18) _let_10) _let_17) _let_16) _let_6) _let_15) _let_14) _let_13) _let_12)) (exists (@list _let_3) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_3) _let_11)) (exists (@list _let_5) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_5) _let_11)) (exists (@list _let_4) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_4) _let_11)) (exists (@list _let_2) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_2) _let_11)) (exists (@list _let_9) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_9) _let_11)) (_ tptp.c_not (= (_ (_ (_ _let_10 _let_9) (_ (_ _let_8 (_ (_ _let_7 _let_1) _let_3)) (_ (_ (_ _let_6 _let_5) _let_4) _let_3))) _let_2) _let_1)))))))))))))))))))))))))))))))))) % 2.52/2.76 (define tptp.c_combinator () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X3" $$unsorted))) (let ((_let_4 (@var "X2" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_2) (=> (_ _let_2 (_ tptp.c_Inj0 tptp.c_Empty)) (=> (_ _let_2 (_ tptp.c_Inj0 (_ tptp.c_Power tptp.c_Empty))) (=> (forall (@list _let_4 _let_3) (=> (_ _let_2 _let_4) (=> (_ _let_2 _let_3) (_ _let_2 (_ tptp.c_Inj1 (_ (_ tptp.c_setsum _let_4) _let_3)))))) (_ _let_2 _let_1))))))))))) % 2.52/2.76 (define tptp.c_combinator_equiv () (let ((_let_1 (@var "X4" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X1" $$unsorted))) (let ((_let_4 (@var "X0" $$unsorted))) (let ((_let_5 (@var "X2" (-> $$unsorted $$unsorted Bool)))) (let ((_let_6 (@var "X8" $$unsorted))) (let ((_let_7 (@var "X7" $$unsorted))) (let ((_let_8 (@var "X5" (-> $$unsorted $$unsorted $$unsorted)))) (let ((_let_9 (@var "X6" $$unsorted))) (let ((_let_10 (_ _let_8 _let_9))) (let ((_let_11 (@var "X9" $$unsorted))) (let ((_let_12 (_ _let_5 _let_9))) (let ((_let_13 (_ tptp.c_combinator _let_9))) (lambda (@list _let_4 _let_3) (forall (@list _let_5) (_ (_ (_ (lambda (@list _let_2 _let_1 _let_8) (=> (_ tptp.c_per_i _let_5) (=> (forall (@list _let_9) (=> _let_13 (_ _let_12 _let_9))) (=> (forall (@list _let_9 _let_7 _let_6 _let_11) (=> _let_13 (=> (_ tptp.c_combinator _let_7) (=> (_ tptp.c_combinator _let_6) (=> (_ tptp.c_combinator _let_11) (=> (_ _let_12 _let_6) (=> (_ (_ _let_5 _let_7) _let_11) (_ (_ _let_5 (_ _let_10 _let_7)) (_ (_ _let_8 _let_6) _let_11))))))))) (=> (forall (@list _let_9 _let_7) (_ (_ _let_5 (_ (_ _let_8 (_ (_ _let_8 _let_2) _let_9)) _let_7)) _let_9)) (=> (forall (@list _let_9 _let_7 _let_6) (_ (_ _let_5 (_ (_ _let_8 (_ (_ _let_8 (_ (_ _let_8 _let_1) _let_9)) _let_7)) _let_6)) (_ (_ _let_8 (_ _let_10 _let_6)) (_ (_ _let_8 _let_7) _let_6)))) (_ (_ _let_5 _let_4) _let_3))))))) (_ tptp.c_Inj0 tptp.c_Empty)) (_ tptp.c_Inj0 (_ tptp.c_Power tptp.c_Empty))) (lambda (@list _let_2 _let_1) (_ tptp.c_Inj1 (_ (_ tptp.c_setsum _let_2) _let_1)))))))))))))))))))) % 2.52/2.76 (define tptp.c_equip_mod () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X4" $$unsorted))) (let ((_let_4 (_ (_ tptp.c_equip (_ (_ tptp.c_setprod _let_3) _let_2)) _let_1))) (let ((_let_5 (@var "X0" $$unsorted))) (let ((_let_6 (@var "X1" $$unsorted))) (lambda (@list _let_5 _let_6 _let_1) (exists (@list _let_2 _let_3) (_ (_ tptp.c_or (_ (_ tptp.c_and (_ (_ tptp.c_equip (_ (_ tptp.c_setsum _let_5) _let_2)) _let_6)) _let_4)) (_ (_ tptp.c_and (_ (_ tptp.c_equip (_ (_ tptp.c_setsum _let_6) _let_2)) _let_5)) _let_4))))))))))) % 2.52/2.76 (define @t1 () (@var "X0" (-> $$unsorted Bool))) % 2.52/2.76 (define @t2 () (@var "X1" $$unsorted)) % 2.52/2.76 (define @t3 () (_ @t1 @t2)) % 2.52/2.76 (define @t4 () (@var "X0" Bool)) % 2.52/2.76 (define @t5 () (_ tptp.c_not @t4)) % 2.52/2.76 (define @t6 () (=> (_ tptp.c_not @t5) @t4)) % 2.52/2.76 (define @t7 () (@list @t4)) % 2.52/2.76 (define @t8 () (forall @t7 @t6)) % 2.52/2.76 (define @t9 () (@var "X1" Bool)) % 2.52/2.76 (define @t10 () (@list @t4 @t9)) % 2.52/2.76 (define @t11 () (@var "X0" $$unsorted)) % 2.52/2.76 (define @t12 () (_ tptp.c_Subq @t2)) % 2.52/2.76 (define @t13 () (_ @t12 @t11)) % 2.52/2.76 (define @t14 () (_ tptp.c_Subq @t11)) % 2.52/2.76 (define @t15 () (_ @t14 @t2)) % 2.52/2.76 (define @t16 () (@list @t11 @t2)) % 2.52/2.76 (define @t17 () (_ tptp.c_In @t11)) % 2.52/2.76 (define @t18 () (@list @t11)) % 2.52/2.76 (define @t19 () (@var "X2" $$unsorted)) % 2.52/2.76 (define @t20 () (_ tptp.c_In @t19)) % 2.52/2.76 (define @t21 () (_ @t20 @t11)) % 2.52/2.76 (define @t22 () (_ tptp.c_In @t2)) % 2.52/2.76 (define @t23 () (@list @t19)) % 2.52/2.76 (define @t24 () (@var "X3" $$unsorted)) % 2.52/2.76 (define @t25 () (@var "X1" (-> $$unsorted $$unsorted))) % 2.52/2.76 (define @t26 () (_ @t25 @t24)) % 2.52/2.76 (define @t27 () (_ tptp.c_In @t24)) % 2.52/2.76 (define @t28 () (_ @t27 @t11)) % 2.52/2.76 (define @t29 () (_ tptp.c_and @t28)) % 2.52/2.76 (define @t30 () (@list @t24)) % 2.52/2.76 (define @t31 () (lambda @t30 @t26)) % 2.52/2.76 (define @t32 () (_ tptp.c_Repl @t11)) % 2.52/2.76 (define @t33 () (@list @t2)) % 2.52/2.76 (define @t34 () (forall @t33 @t3)) % 2.52/2.76 (define @t35 () (@var "X2" (-> $$unsorted $$unsorted))) % 2.52/2.76 (define @t36 () (_ @t35 @t24)) % 2.52/2.76 (define @t37 () (lambda @t30 @t36)) % 2.52/2.76 (define @t38 () (_ tptp.c_Repl @t2)) % 2.52/2.76 (define @t39 () (_ @t27 @t2)) % 2.52/2.76 (define @t40 () (@list @t35)) % 2.52/2.76 (define @t41 () (_ tptp.c_Power @t2)) % 2.52/2.76 (define @t42 () (_ @t1 @t19)) % 2.52/2.76 (define @t43 () (_ @t20 @t2)) % 2.52/2.76 (define @t44 () (forall @t23 (=> @t43 @t42))) % 2.52/2.76 (define @t45 () (@list @t1)) % 2.52/2.76 (define @t46 () (_ @t25 @t19)) % 2.52/2.76 (define @t47 () (_ tptp.c_famunion @t11)) % 2.52/2.76 (define @t48 () (@list @t11 @t25)) % 2.52/2.76 (define @t49 () (lambda @t23 @t46)) % 2.52/2.76 (define @t50 () (_ @t32 @t49)) % 2.52/2.76 (define @t51 () (_ tptp.c_Sing tptp.c_Empty)) % 2.52/2.76 (define @t52 () (lambda @t48 (_ (_ tptp.c_binunion @t51) @t50))) % 2.52/2.76 (define @t53 () (= tptp.c_Inj1 (_ tptp.c_In_rec_poly_i @t52))) % 2.52/2.76 (define @t54 () (_ tptp.c_Power tptp.c_Empty)) % 2.52/2.76 (define @t55 () (_ tptp.c_Power @t54)) % 2.52/2.76 (define @t56 () (_ tptp.c_binrep (_ tptp.c_Power (_ (_ tptp.c_binrep @t55) tptp.c_Empty)))) % 2.52/2.76 (define @t57 () (@var "X4" $$unsorted)) % 2.52/2.76 (define @t58 () (@list @t57)) % 2.52/2.76 (define @t59 () (exists @t58 (_ (_ tptp.c_and (_ (_ tptp.c_Subq @t57) @t19)) (_ tptp.c_not (_ @t1 (_ (_ tptp.c_setprod @t24) (_ @t56 @t55))))))) % 2.52/2.76 (define @t60 () (= @t19 @t46)) % 2.52/2.76 (define @t61 () (=> @t60 @t59)) % 2.52/2.76 (define @t62 () (_ tptp.c_and (_ (_ tptp.c_Subq @t24) @t19))) % 2.52/2.76 (define @t63 () (exists @t30 (_ @t62 @t61))) % 2.52/2.76 (define @t64 () (exists @t23 (_ (_ tptp.c_and @t63) (_ tptp.c_not (_ tptp.c_SNo @t19))))) % 2.52/2.76 (define @t65 () (exists @t30 (_ @t62 (_ tptp.c_exactly2 (_ tptp.c_ordsucc @t26))))) % 2.52/2.76 (define @t66 () (_ @t20 tptp.c_Empty)) % 2.52/2.76 (define @t67 () (=> @t66 @t65)) % 2.52/2.76 (define @t68 () (forall @t23 @t67)) % 2.52/2.76 (define @t69 () (_ @t25 tptp.c_Empty)) % 2.52/2.76 (define @t70 () (=> (_ tptp.c_TransSet @t69) @t68)) % 2.52/2.76 (define @t71 () (_ tptp.c_Power @t55)) % 2.52/2.76 (define @t72 () (_ @t25 @t54)) % 2.52/2.76 (define @t73 () (=> (_ @t1 (_ @t25 (_ (_ tptp.c_binintersect @t72) (_ @t25 (_ (_ tptp.c_binrep @t71) tptp.c_Empty))))) @t70)) % 2.52/2.76 (define @t74 () (=> @t73 @t64)) % 2.52/2.76 (define @t75 () (@list @t1 @t25)) % 2.52/2.76 (define @t76 () (forall @t75 (_ (_ tptp.c_and @t74) (_ tptp.c_not (_ @t1 (_ @t25 (_ @t25 (_ @t25 (_ (_ tptp.c_binrep (_ @t56 @t54)) tptp.c_Empty))))))))) % 2.52/2.76 (define @t77 () (not (_ tptp.c_not @t76))) % 2.52/2.76 (define @t78 () (=> @t4 tptp.c_False)) % 2.52/2.76 (define @t79 () (lambda @t7 @t78)) % 2.52/2.76 (define @t80 () (@var "X2" Bool)) % 2.52/2.76 (define @t81 () (=> @t9 @t80)) % 2.52/2.76 (define @t82 () (=> @t4 @t81)) % 2.52/2.76 (define @t83 () (@list @t80)) % 2.52/2.76 (define @t84 () (forall @t83 (=> @t82 @t80))) % 2.52/2.76 (define @t85 () (lambda @t10 @t84)) % 2.52/2.76 (define @t86 () (=> @t81 @t80)) % 2.52/2.76 (define @t87 () (=> @t4 @t80)) % 2.52/2.76 (define @t88 () (forall @t83 (=> @t87 @t86))) % 2.52/2.76 (define @t89 () (lambda @t10 @t88)) % 2.52/2.76 (define @t90 () (lambda @t10 (_ (_ tptp.c_and (=> @t4 @t9)) (=> @t9 @t4)))) % 2.52/2.76 (define @t91 () (forall @t23 (=> @t21 @t43))) % 2.52/2.76 (define @t92 () (lambda @t16 @t91)) % 2.52/2.76 (define @t93 () (_ @t22 @t11)) % 2.52/2.76 (define @t94 () (=> @t93 @t13)) % 2.52/2.76 (define @t95 () (forall @t33 @t94)) % 2.52/2.76 (define @t96 () (lambda @t18 @t95)) % 2.52/2.76 (define @t97 () (exists @t33 (_ (_ tptp.c_and @t93) (_ tptp.c_not (_ @t14 @t41))))) % 2.52/2.76 (define @t98 () (lambda @t18 @t97)) % 2.52/2.76 (define @t99 () (_ tptp.c_not @t15)) % 2.52/2.76 (define @t100 () (_ tptp.c_and @t99)) % 2.52/2.76 (define @t101 () (_ tptp.c_and @t13)) % 2.52/2.76 (define @t102 () (exists @t33 (_ @t101 (_ @t100 (_ tptp.c_atleast2 @t2))))) % 2.52/2.76 (define @t103 () (lambda @t18 @t102)) % 2.52/2.76 (define @t104 () (lambda @t18 (exists @t33 (_ @t101 (_ @t100 (_ tptp.c_atleast3 @t2)))))) % 2.52/2.76 (define @t105 () (lambda @t18 (exists @t33 (_ @t101 (_ @t100 (_ tptp.c_atleast4 @t2)))))) % 2.52/2.76 (define @t106 () (lambda @t18 (exists @t33 (_ @t101 (_ @t100 (_ tptp.c_atleast5 @t2)))))) % 2.52/2.76 (define @t107 () (_ tptp.c_atleast3 @t11)) % 2.52/2.76 (define @t108 () (lambda @t18 (_ (_ tptp.c_and (_ tptp.c_atleast2 @t11)) (_ tptp.c_not @t107)))) % 2.52/2.76 (define @t109 () (_ tptp.c_atleast4 @t11)) % 2.52/2.76 (define @t110 () (lambda @t18 (_ (_ tptp.c_and @t107) (_ tptp.c_not @t109)))) % 2.52/2.76 (define @t111 () (_ tptp.c_atleast5 @t11)) % 2.52/2.76 (define @t112 () (lambda @t18 (_ (_ tptp.c_and @t109) (_ tptp.c_not @t111)))) % 2.52/2.76 (define @t113 () (lambda @t18 (_ (_ tptp.c_and @t111) (_ tptp.c_not (_ tptp.c_atleast6 @t11))))) % 2.52/2.76 (define @t114 () (= @t2 @t19)) % 2.52/2.76 (define @t115 () (@list @t2 @t19)) % 2.52/2.76 (define @t116 () (lambda @t45 (_ (_ tptp.c_and (exists @t33 @t3)) (forall @t115 (=> @t3 (=> @t42 @t114)))))) % 2.52/2.76 (define @t117 () (@var "X0" (-> $$unsorted $$unsorted Bool))) % 2.52/2.76 (define @t118 () (_ @t117 @t2)) % 2.52/2.76 (define @t119 () (_ @t118 @t2)) % 2.52/2.76 (define @t120 () (@list @t117)) % 2.52/2.76 (define @t121 () (lambda @t120 (forall @t33 @t119))) % 2.52/2.76 (define @t122 () (lambda @t120 (forall @t33 (_ tptp.c_not @t119)))) % 2.52/2.76 (define @t123 () (_ @t117 @t19)) % 2.52/2.76 (define @t124 () (_ @t123 @t2)) % 2.52/2.76 (define @t125 () (_ @t118 @t19)) % 2.52/2.76 (define @t126 () (lambda @t120 (forall @t115 (=> @t125 @t124)))) % 2.52/2.76 (define @t127 () (lambda @t120 (forall @t115 (=> @t125 (=> @t124 @t114))))) % 2.52/2.76 (define @t128 () (lambda @t120 (forall (@list @t2 @t19 @t24) (=> @t125 (=> (_ @t123 @t24) (_ @t118 @t24)))))) % 2.52/2.76 (define @t129 () (_ tptp.c_transitive_i @t117)) % 2.52/2.76 (define @t130 () (_ tptp.c_symmetric_i @t117)) % 2.52/2.76 (define @t131 () (_ tptp.c_and (_ tptp.c_reflexive_i @t117))) % 2.52/2.76 (define @t132 () (lambda @t120 (_ (_ tptp.c_and (_ @t131 @t130)) @t129))) % 2.52/2.76 (define @t133 () (lambda @t120 (_ (_ tptp.c_and @t130) @t129))) % 2.52/2.76 (define @t134 () (_ tptp.c_or @t125)) % 2.52/2.76 (define @t135 () (lambda @t120 (forall @t115 (_ @t134 @t124)))) % 2.52/2.76 (define @t136 () (lambda @t120 (forall @t115 (_ (_ tptp.c_or (_ @t134 @t114)) @t124)))) % 2.52/2.76 (define @t137 () (lambda @t120 (_ (_ tptp.c_and (_ @t131 (_ tptp.c_antisymmetric_i @t117))) @t129))) % 2.52/2.76 (define @t138 () (lambda @t120 (_ (_ tptp.c_and (_ tptp.c_partialorder_i @t117)) (_ tptp.c_linear_i @t117)))) % 2.52/2.76 (define @t139 () (lambda @t120 (_ (_ tptp.c_and (_ tptp.c_irreflexive_i @t117)) @t129))) % 2.52/2.76 (define @t140 () (lambda @t120 (_ (_ tptp.c_and (_ tptp.c_strictpartialorder_i @t117)) (_ tptp.c_trichotomous_or_i @t117)))) % 2.52/2.76 (define @t141 () (= @t24 @t19)) % 2.52/2.76 (define @t142 () (_ tptp.c_and @t5)) % 2.52/2.76 (define @t143 () (= @t24 @t2)) % 2.52/2.76 (define @t144 () (_ tptp.c_and @t4)) % 2.52/2.76 (define @t145 () (lambda @t30 (_ (_ tptp.c_or (_ @t144 @t143)) (_ @t142 @t141)))) % 2.52/2.76 (define @t146 () (@list @t4 @t2 @t19)) % 2.52/2.76 (define @t147 () (lambda @t146 (_ tptp.c_Eps_i @t145))) % 2.52/2.76 (define @t148 () (_ tptp.c_not @t9)) % 2.52/2.76 (define @t149 () (lambda @t10 (_ (_ tptp.c_or (_ @t144 @t148)) (_ @t142 @t9)))) % 2.52/2.76 (define @t150 () (lambda (@list @t4 @t9 @t80) (_ (_ tptp.c_or (_ (_ tptp.c_and (_ (_ tptp.c_exactly1of2 @t4) @t9)) (_ tptp.c_not @t80))) (_ (_ tptp.c_and (_ @t142 @t148)) @t80)))) % 2.52/2.76 (define @t151 () (lambda @t16 (_ tptp.c_not (_ @t17 @t2)))) % 2.52/2.76 (define @t152 () (lambda @t16 @t99)) % 2.52/2.76 (define @t153 () (_ tptp.c_In tptp.c_Empty)) % 2.52/2.76 (define @t154 () (_ @t153 @t19)) % 2.52/2.76 (define @t155 () (lambda @t23 (_ (_ (_ tptp.c_If_i @t154) @t11) @t2))) % 2.52/2.76 (define @t156 () (_ tptp.c_Repl @t55)) % 2.52/2.76 (define @t157 () (lambda @t16 (_ @t156 @t155))) % 2.52/2.76 (define @t158 () (_ tptp.c_UPair @t11)) % 2.52/2.76 (define @t159 () (lambda @t18 (_ @t158 @t11))) % 2.52/2.76 (define @t160 () (lambda @t16 (_ tptp.c_Union (_ @t158 @t2)))) % 2.52/2.76 (define @t161 () (_ tptp.c_binunion @t11)) % 2.52/2.76 (define @t162 () (lambda @t16 (_ @t161 (_ tptp.c_Sing @t2)))) % 2.52/2.76 (define @t163 () (_ tptp.c_Union @t50)) % 2.52/2.76 (define @t164 () (lambda @t48 @t163)) % 2.52/2.76 (define @t165 () (@var "X1" (-> $$unsorted Bool))) % 2.52/2.76 (define @t166 () (_ @t165 @t57)) % 2.52/2.76 (define @t167 () (_ tptp.c_In @t57)) % 2.52/2.76 (define @t168 () (_ @t167 @t11)) % 2.52/2.76 (define @t169 () (_ tptp.c_and @t168)) % 2.52/2.76 (define @t170 () (lambda @t58 (_ @t169 @t166))) % 2.52/2.76 (define @t171 () (_ @t165 @t24)) % 2.52/2.76 (define @t172 () (lambda @t30 (_ (_ (_ tptp.c_If_i @t171) @t24) (_ tptp.c_Eps_i @t170)))) % 2.52/2.76 (define @t173 () (lambda @t23 (_ @t172 @t19))) % 2.52/2.76 (define @t174 () (_ @t165 @t19)) % 2.52/2.76 (define @t175 () (_ tptp.c_and @t21)) % 2.52/2.76 (define @t176 () (exists @t23 (_ @t175 @t174))) % 2.52/2.76 (define @t177 () (@list @t11 @t165)) % 2.52/2.76 (define @t178 () (lambda @t177 (_ (_ (_ tptp.c_If_i @t176) (_ @t32 @t173)) tptp.c_Empty))) % 2.52/2.76 (define @t179 () (_ tptp.c_Sep @t11)) % 2.52/2.76 (define @t180 () (lambda (@list @t11 @t165 @t35) (_ (_ tptp.c_Repl (_ @t179 (lambda @t30 @t171))) @t37))) % 2.52/2.76 (define @t181 () (lambda @t23 @t43)) % 2.52/2.76 (define @t182 () (lambda @t16 (_ @t179 @t181))) % 2.52/2.76 (define @t183 () (lambda @t16 (_ @t179 (lambda @t23 (_ (_ tptp.c_nIn @t19) @t2))))) % 2.52/2.76 (define @t184 () (_ @t35 @t57)) % 2.52/2.76 (define @t185 () (@list @t11 @t2 @t35)) % 2.52/2.76 (define @t186 () (lambda @t185 (_ (_ tptp.c_and (forall @t30 (=> @t28 (_ (_ tptp.c_In @t36) @t2)))) (forall @t30 (=> @t28 (forall @t58 (=> @t168 (=> (= @t36 @t184) (= @t24 @t57))))))))) % 2.52/2.76 (define @t187 () (_ (_ (_ tptp.c_inj @t11) @t2) @t35)) % 2.52/2.76 (define @t188 () (lambda @t185 (_ (_ tptp.c_and @t187) (forall @t30 (=> @t39 (exists @t58 (_ @t169 (= @t184 @t24)))))))) % 2.52/2.76 (define @t189 () (lambda @t16 (exists @t40 @t187))) % 2.52/2.76 (define @t190 () (lambda @t16 (exists @t40 (_ (_ (_ tptp.c_bij @t11) @t2) @t35)))) % 2.52/2.76 (define @t191 () (@var "X3" (-> $$unsorted $$unsorted Bool))) % 2.52/2.76 (define @t192 () (_ @t191 @t2)) % 2.52/2.76 (define @t193 () (_ @t192 @t19)) % 2.52/2.76 (define @t194 () (@var "X5" (-> $$unsorted $$unsorted))) % 2.52/2.76 (define @t195 () (@var "X0" (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted))) % 2.52/2.76 (define @t196 () (_ (_ @t195 @t57) @t194)) % 2.52/2.76 (define @t197 () (_ @t191 @t57)) % 2.52/2.76 (define @t198 () (_ @t197 @t196)) % 2.52/2.76 (define @t199 () (@var "X6" $$unsorted)) % 2.52/2.76 (define @t200 () (_ @t194 @t199)) % 2.52/2.76 (define @t201 () (_ @t191 @t199)) % 2.52/2.76 (define @t202 () (_ @t201 @t200)) % 2.52/2.76 (define @t203 () (_ tptp.c_In @t199)) % 2.52/2.76 (define @t204 () (_ @t203 @t57)) % 2.52/2.76 (define @t205 () (@list @t199)) % 2.52/2.76 (define @t206 () (forall @t205 (=> @t204 @t202))) % 2.52/2.76 (define @t207 () (=> @t206 @t198)) % 2.52/2.76 (define @t208 () (@list @t57 @t194)) % 2.52/2.76 (define @t209 () (forall @t208 @t207)) % 2.52/2.76 (define @t210 () (=> @t209 @t193)) % 2.52/2.76 (define @t211 () (@list @t191)) % 2.52/2.76 (define @t212 () (forall @t211 @t210)) % 2.52/2.76 (define @t213 () (@list @t195 @t2 @t19)) % 2.52/2.76 (define @t214 () (lambda @t213 @t212)) % 2.52/2.76 (define @t215 () (lambda @t23 (_ (_ (_ tptp.c_In_rec_poly_G_i @t195) @t2) @t19))) % 2.52/2.76 (define @t216 () (@list @t195 @t2)) % 2.52/2.76 (define @t217 () (lambda @t216 (_ tptp.c_Eps_i @t215))) % 2.52/2.76 (define @t218 () (lambda @t18 (_ @t161 (_ tptp.c_Sing @t11)))) % 2.52/2.76 (define @t219 () (_ @t165 @t11)) % 2.52/2.76 (define @t220 () (@list @t165)) % 2.52/2.76 (define @t221 () (lambda @t18 (forall @t220 (=> (_ @t165 tptp.c_Empty) (=> (forall @t23 (=> @t174 (_ @t165 (_ tptp.c_ordsucc @t19)))) @t219))))) % 2.52/2.76 (define @t222 () (@var "__flatten_var_0" $$unsorted)) % 2.52/2.76 (define @t223 () (_ tptp.c_Union @t19)) % 2.52/2.76 (define @t224 () (@var "X3" (-> $$unsorted $$unsorted))) % 2.52/2.76 (define @t225 () (@var "X1" (-> $$unsorted $$unsorted $$unsorted))) % 2.52/2.76 (define @t226 () (lambda (@list @t11 @t225 @t222) (_ (_ tptp.c_In_rec_poly_i (lambda (@list @t19 @t224) (_ (_ (_ tptp.c_If_i (_ (_ tptp.c_In @t223) @t19)) (_ (_ @t225 @t223) (_ @t224 @t223))) @t11))) @t222))) % 2.52/2.76 (define @t227 () (@list @t19 @t24)) % 2.52/2.76 (define @t228 () (lambda @t16 (_ (_ (_ tptp.c_nat_primrec @t11) (lambda @t227 (_ tptp.c_ordsucc @t24))) @t2))) % 2.52/2.76 (define @t229 () (lambda @t16 (_ (_ (_ tptp.c_nat_primrec tptp.c_Empty) (lambda @t227 (_ (_ tptp.c_add_nat @t11) @t24))) @t2))) % 2.52/2.76 (define @t230 () (=> @t93 (_ tptp.c_TransSet @t2))) % 2.52/2.76 (define @t231 () (forall @t33 @t230)) % 2.52/2.76 (define @t232 () (lambda @t18 (_ (_ tptp.c_and (_ tptp.c_TransSet @t11)) @t231))) % 2.52/2.76 (define @t233 () (lambda @t33 (_ tptp.c_Inj1 @t2))) % 2.52/2.76 (define @t234 () (lambda @t18 (_ @t32 @t233))) % 2.52/2.76 (define @t235 () (_ tptp.c_Unj @t57)) % 2.52/2.76 (define @t236 () (lambda (@list @t11 @t2 @t35 @t224 @t57) (_ (_ (_ tptp.c_If_i (= @t57 (_ tptp.c_Inj0 @t235))) (_ @t35 @t235)) (_ @t224 @t235)))) % 2.52/2.76 (define @t237 () (_ tptp.c_Inj1 @t19)) % 2.52/2.76 (define @t238 () (_ @t38 (lambda @t23 @t237))) % 2.52/2.76 (define @t239 () (_ tptp.c_Inj0 @t19)) % 2.52/2.76 (define @t240 () (lambda @t23 @t239)) % 2.52/2.76 (define @t241 () (lambda @t16 (_ (_ tptp.c_binunion (_ @t32 @t240)) @t238))) % 2.52/2.76 (define @t242 () (lambda @t33 (_ tptp.c_Unj @t2))) % 2.52/2.76 (define @t243 () (_ tptp.c_ReplSep @t11)) % 2.52/2.76 (define @t244 () (lambda @t18 (_ (_ @t243 (lambda @t33 (exists @t23 (= @t239 @t2)))) @t242))) % 2.52/2.76 (define @t245 () (lambda @t18 (_ (_ @t243 (lambda @t33 (exists @t23 (= @t237 @t2)))) @t242))) % 2.52/2.76 (define @t246 () (_ tptp.c_setsum @t11)) % 2.52/2.76 (define @t247 () (lambda @t16 (_ @t246 @t41))) % 2.52/2.76 (define @t248 () (_ (_ tptp.c_setsum @t19) @t24)) % 2.52/2.76 (define @t249 () (lambda @t30 @t248)) % 2.52/2.76 (define @t250 () (_ tptp.c_Repl @t46)) % 2.52/2.76 (define @t251 () (lambda @t23 (_ @t250 @t249))) % 2.52/2.76 (define @t252 () (lambda @t48 (_ @t47 @t251))) % 2.52/2.76 (define @t253 () (lambda @t23 @t2)) % 2.52/2.76 (define @t254 () (_ tptp.c_lam @t11)) % 2.52/2.76 (define @t255 () (lambda @t16 (_ @t254 @t253))) % 2.52/2.76 (define @t256 () (_ (_ tptp.c_setsum @t2) @t24)) % 2.52/2.76 (define @t257 () (lambda @t16 (_ (_ @t243 (lambda @t23 (exists @t30 (= @t19 @t256)))) (lambda @t23 (_ tptp.c_proj1 @t19))))) % 2.52/2.76 (define @t258 () (_ tptp.c_ordsucc tptp.c_Empty)) % 2.52/2.76 (define @t259 () (_ tptp.c_ap @t11)) % 2.52/2.76 (define @t260 () (lambda @t18 (= (_ (_ tptp.c_setsum (_ @t259 tptp.c_Empty)) (_ @t259 @t258)) @t11))) % 2.52/2.76 (define @t261 () (_ (_ tptp.c_setsum @t24) @t57)) % 2.52/2.76 (define @t262 () (lambda @t16 (forall @t23 (=> @t43 (exists @t30 (_ @t29 (exists @t58 (= @t19 @t261)))))))) % 2.52/2.76 (define @t263 () (lambda @t48 (_ (_ tptp.c_Sep (_ tptp.c_Power (_ @t254 (lambda @t23 (_ tptp.c_Union @t46))))) (lambda @t23 (forall @t30 (=> @t28 (_ (_ tptp.c_In (_ (_ tptp.c_ap @t19) @t24)) @t26))))))) % 2.52/2.76 (define @t264 () (lambda @t16 (_ (_ tptp.c_Pi @t2) (lambda @t23 @t11)))) % 2.52/2.76 (define @t265 () (_ tptp.c_ap @t24)) % 2.52/2.76 (define @t266 () (@var "X2" (-> $$unsorted $$unsorted Bool))) % 2.52/2.76 (define @t267 () (lambda (@list @t11 @t25 @t266) (_ (_ tptp.c_Sep (_ @t254 @t31)) (lambda @t30 (_ (_ @t266 (_ @t265 tptp.c_Empty)) (_ @t265 @t258)))))) % 2.52/2.76 (define @t268 () (lambda @t18 (forall @t33 (=> @t93 (exists @t227 (= @t2 (_ (_ tptp.c_lam (_ tptp.c_ordsucc @t258)) (lambda @t58 (_ (_ (_ tptp.c_If_i (= @t57 tptp.c_Empty)) @t19) @t24))))))))) % 2.52/2.76 (define @t269 () (@var "X2" (-> $$unsorted $$unsorted $$unsorted))) % 2.52/2.76 (define @t270 () (lambda (@list @t11 @t25 @t269) (_ @t254 (lambda @t30 (_ (_ tptp.c_lam @t26) (lambda @t58 (_ (_ @t269 @t24) @t57))))))) % 2.52/2.76 (define @t271 () (@var "X2" (-> $$unsorted Bool))) % 2.52/2.76 (define @t272 () (_ @t271 @t24)) % 2.52/2.76 (define @t273 () (@list @t11 @t165 @t271)) % 2.52/2.76 (define @t274 () (lambda @t273 (forall @t30 (=> @t28 (_ (_ tptp.c_iff @t171) @t272))))) % 2.52/2.76 (define @t275 () (lambda @t273 (exists @t30 (_ @t29 (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ (_ tptp.c_PNoEq_ @t24) @t165) @t271)) (_ tptp.c_not @t171))) @t272))))) % 2.52/2.76 (define @t276 () (_ tptp.c_not @t174)) % 2.52/2.76 (define @t277 () (@var "X3" (-> $$unsorted Bool))) % 2.52/2.76 (define @t278 () (_ tptp.c_PNoEq_ @t11)) % 2.52/2.76 (define @t279 () (_ (_ @t278 @t165) @t277)) % 2.52/2.76 (define @t280 () (@list @t11 @t165 @t19 @t277)) % 2.52/2.76 (define @t281 () (lambda @t280 (_ (_ tptp.c_or (_ (_ tptp.c_or (_ (_ (_ tptp.c_PNoLt_ (_ (_ tptp.c_binintersect @t11) @t19)) @t165) @t277)) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ @t17 @t19)) @t279)) (_ @t277 @t11)))) (_ (_ tptp.c_and (_ @t175 (_ (_ (_ tptp.c_PNoEq_ @t19) @t165) @t277))) @t276)))) % 2.52/2.76 (define @t282 () (lambda @t280 (_ (_ tptp.c_or (_ (_ (_ (_ tptp.c_PNoLt @t11) @t165) @t19) @t277)) (_ (_ tptp.c_and (= @t11 @t19)) @t279)))) % 2.52/2.76 (define @t283 () (@var "X4" (-> $$unsorted Bool))) % 2.52/2.76 (define @t284 () (@var "X0" (-> $$unsorted (-> $$unsorted Bool) Bool))) % 2.52/2.76 (define @t285 () (_ tptp.c_and (_ (_ @t284 @t24) @t283))) % 2.52/2.76 (define @t286 () (@list @t283)) % 2.52/2.76 (define @t287 () (_ tptp.c_and (_ tptp.c_ordinal @t24))) % 2.52/2.76 (define @t288 () (@list @t284 @t2 @t271)) % 2.52/2.76 (define @t289 () (lambda @t288 (exists @t30 (_ @t287 (exists @t286 (_ @t285 (_ (_ (_ (_ tptp.c_PNoLe @t2) @t271) @t24) @t283))))))) % 2.52/2.76 (define @t290 () (lambda @t288 (exists @t30 (_ @t287 (exists @t286 (_ @t285 (_ (_ (_ (_ tptp.c_PNoLe @t24) @t283) @t2) @t271))))))) % 2.52/2.76 (define @t291 () (_ tptp.c_Sing @t258)) % 2.52/2.76 (define @t292 () (lambda @t23 (_ (_ tptp.c_SetAdjoin @t19) @t291))) % 2.52/2.76 (define @t293 () (lambda @t33 (_ @t292 @t2))) % 2.52/2.76 (define @t294 () (lambda @t18 (_ @t161 (_ @t32 @t293)))) % 2.52/2.76 (define @t295 () (lambda @t30 (_ (_ tptp.c_SetAdjoin @t24) @t291))) % 2.52/2.76 (define @t296 () (_ @t295 @t19)) % 2.52/2.76 (define @t297 () (=> @t21 (_ (_ tptp.c_exactly1of2 (_ (_ tptp.c_In @t296) @t2)) @t43))) % 2.52/2.76 (define @t298 () (forall @t23 @t297)) % 2.52/2.76 (define @t299 () (lambda @t16 (_ (_ tptp.c_and (_ @t12 (_ tptp.c_SNoElts_ @t11))) @t298))) % 2.52/2.76 (define @t300 () (lambda @t177 (_ (_ tptp.c_binunion (_ @t179 (lambda @t23 @t174))) (_ (_ @t243 (lambda @t23 @t276)) (lambda @t23 @t296))))) % 2.52/2.76 (define @t301 () (_ (_ tptp.c_and (_ tptp.c_ordinal @t2)) (_ (_ tptp.c_SNo_ @t2) @t11))) % 2.52/2.76 (define @t302 () (exists @t33 @t301)) % 2.52/2.76 (define @t303 () (lambda @t18 @t302)) % 2.52/2.76 (define @t304 () (lambda @t18 (_ tptp.c_Eps_i (lambda @t33 @t301)))) % 2.52/2.76 (define @t305 () (@list @t11 @t2 @t19)) % 2.52/2.76 (define @t306 () (lambda @t305 (_ (_ @t278 (lambda @t30 @t39)) (lambda @t30 (_ @t27 @t19))))) % 2.52/2.76 (define @t307 () (_ tptp.c_SNoLev @t2)) % 2.52/2.76 (define @t308 () (lambda @t23 @t21)) % 2.52/2.76 (define @t309 () (_ tptp.c_SNoLev @t11)) % 2.52/2.76 (define @t310 () (lambda @t16 (_ (_ (_ (_ tptp.c_PNoLt @t309) @t308) @t307) @t181))) % 2.52/2.76 (define @t311 () (lambda @t16 (_ (_ (_ (_ tptp.c_PNoLe @t309) @t308) @t307) @t181))) % 2.52/2.76 (define @t312 () (lambda (@list @t11 @t225) (forall @t23 (=> @t21 (forall @t30 (=> @t28 (_ (_ tptp.c_In (_ (_ @t225 @t19) @t24)) @t11))))))) % 2.52/2.76 (define @t313 () (@var "X5" $$unsorted)) % 2.52/2.76 (define @t314 () (@var "X3" (-> $$unsorted $$unsorted $$unsorted))) % 2.52/2.76 (define @t315 () (_ @t225 @t313)) % 2.52/2.76 (define @t316 () (_ @t315 @t199)) % 2.52/2.76 (define @t317 () (_ @t269 @t313)) % 2.52/2.76 (define @t318 () (_ (_ tptp.c_In @t313) @t11)) % 2.52/2.76 (define @t319 () (@list @t313)) % 2.52/2.76 (define @t320 () (_ tptp.c_binop_on @t11)) % 2.52/2.76 (define @t321 () (lambda (@list @t11 @t225 @t269 @t314 @t57) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ @t320 @t225)) (_ @t320 @t269))) (_ @t320 @t314))) (forall @t319 (=> @t318 (_ (_ tptp.c_and (= (_ (_ @t225 @t57) @t313) @t313)) (= (_ @t315 @t57) @t313)))))) (forall @t319 (=> @t318 (forall @t205 (=> (_ @t203 @t11) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (= (_ @t317 @t316) @t199)) (= (_ @t315 (_ @t317 @t199)) @t199))) (= (_ (_ @t314 @t316) @t199) @t313))) (= (_ (_ @t225 (_ (_ @t314 @t313) @t199)) @t199) @t313))))))))) % 2.52/2.76 (define @t322 () (@var "X15" $$unsorted)) % 2.52/2.76 (define @t323 () (@var "X14" $$unsorted)) % 2.52/2.76 (define @t324 () (_ @t225 @t323)) % 2.52/2.76 (define @t325 () (_ @t324 @t322)) % 2.52/2.76 (define @t326 () (@var "X16" $$unsorted)) % 2.52/2.76 (define @t327 () (@var "X9" (-> $$unsorted $$unsorted $$unsorted $$unsorted))) % 2.52/2.76 (define @t328 () (_ @t225 @t322)) % 2.52/2.76 (define @t329 () (_ @t328 @t323)) % 2.52/2.76 (define @t330 () (_ @t269 @t329)) % 2.52/2.76 (define @t331 () (@var "X8" (-> $$unsorted $$unsorted $$unsorted $$unsorted))) % 2.52/2.76 (define @t332 () (_ (_ tptp.c_In @t326) @t11)) % 2.52/2.76 (define @t333 () (@list @t326)) % 2.52/2.76 (define @t334 () (_ (_ tptp.c_In @t322) @t11)) % 2.52/2.76 (define @t335 () (@list @t322)) % 2.52/2.76 (define @t336 () (_ (_ tptp.c_In @t323) @t11)) % 2.52/2.76 (define @t337 () (@list @t323)) % 2.52/2.76 (define @t338 () (_ @t314 @t57)) % 2.52/2.76 (define @t339 () (_ @t338 @t323)) % 2.52/2.76 (define @t340 () (@var "X13" (-> $$unsorted $$unsorted $$unsorted))) % 2.52/2.76 (define @t341 () (_ @t269 @t323)) % 2.52/2.76 (define @t342 () (_ @t341 @t57)) % 2.52/2.76 (define @t343 () (@var "X12" (-> $$unsorted $$unsorted $$unsorted))) % 2.52/2.76 (define @t344 () (_ @t225 @t339)) % 2.52/2.76 (define @t345 () (@var "X11" (-> $$unsorted $$unsorted $$unsorted))) % 2.52/2.76 (define @t346 () (@var "X10" (-> $$unsorted $$unsorted $$unsorted))) % 2.52/2.76 (define @t347 () (@var "X7" (-> $$unsorted $$unsorted $$unsorted))) % 2.52/2.76 (define @t348 () (@var "X6" (-> $$unsorted $$unsorted $$unsorted $$unsorted))) % 2.52/2.76 (define @t349 () (@var "X5" (-> $$unsorted $$unsorted $$unsorted))) % 2.52/2.76 (define @t350 () (@list @t11 @t225 @t269 @t314 @t57 @t349 @t348 @t347 @t331 @t327 @t346 @t345 @t343 @t340)) % 2.52/2.76 (define @t351 () (lambda @t350 (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ (_ (_ (_ tptp.c_Loop @t11) @t225) @t269) @t314) @t57)) (forall @t337 (=> @t336 (forall @t335 (=> @t334 (= (_ (_ @t349 @t323) @t322) (_ @t330 @t325)))))))) (forall @t337 (=> @t336 (forall @t335 (=> @t334 (forall @t333 (=> @t332 (= (_ (_ (_ @t348 @t323) @t322) @t326) (_ (_ @t269 (_ @t324 (_ @t328 @t326))) (_ (_ @t225 @t325) @t326))))))))))) (forall @t337 (=> @t336 (forall @t335 (=> @t334 (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (= (_ (_ @t347 @t323) @t322) (_ @t341 @t329))) (= (_ (_ @t346 @t323) @t322) (_ @t324 (_ @t328 @t342))))) (= (_ (_ @t345 @t323) @t322) (_ (_ @t225 (_ @t344 @t322)) @t323)))) (= (_ (_ @t343 @t323) @t322) (_ (_ @t225 (_ @t341 @t322)) (_ (_ @t269 @t342) @t57))))) (= (_ (_ @t340 @t323) @t322) (_ (_ @t225 (_ @t338 @t339)) (_ (_ @t314 @t322) @t323)))))))))) (forall @t337 (=> @t336 (forall @t335 (=> @t334 (forall @t333 (=> @t332 (_ (_ tptp.c_and (= (_ (_ (_ @t331 @t323) @t322) @t326) (_ @t330 (_ @t328 (_ @t324 @t326))))) (= (_ (_ (_ @t327 @t323) @t322) @t326) (_ (_ @t314 (_ (_ @t225 (_ (_ @t225 @t326) @t323)) @t322)) @t325)))))))))))) % 2.52/2.76 (define @t352 () (@var "X17" $$unsorted)) % 2.52/2.76 (define @t353 () (_ tptp.c_and (_ (_ tptp.c_In @t352) @t11))) % 2.52/2.76 (define @t354 () (@list @t352)) % 2.52/2.76 (define @t355 () (_ tptp.c_and @t332)) % 2.52/2.76 (define @t356 () (_ tptp.c_and @t334)) % 2.52/2.76 (define @t357 () (_ tptp.c_and @t336)) % 2.52/2.76 (define @t358 () (_ tptp.c_and (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ tptp.c_Loop_with_defs @t11) @t225) @t269) @t314) @t57) @t349) @t348) @t347) @t331) @t327) @t346) @t345) @t343) @t340))) % 2.52/2.76 (define @t359 () (lambda @t350 (_ @t358 (exists @t337 (_ @t357 (exists @t335 (_ @t356 (exists @t333 (_ @t355 (exists @t354 (_ @t353 (_ tptp.c_not (= (_ (_ @t349 (_ (_ @t225 (_ (_ @t269 (_ (_ (_ @t331 @t322) @t326) @t323)) @t57)) @t323)) @t352) @t57))))))))))))) % 2.52/2.76 (define @t360 () (@var "X18" $$unsorted)) % 2.52/2.76 (define @t361 () (lambda @t350 (_ @t358 (exists @t337 (_ @t357 (exists @t335 (_ @t356 (exists @t333 (_ @t355 (exists @t354 (_ @t353 (exists (@list @t360) (_ (_ tptp.c_and (_ (_ tptp.c_In @t360) @t11)) (_ tptp.c_not (= (_ (_ (_ @t348 @t360) (_ @t344 (_ (_ (_ @t327 @t322) @t326) @t323))) @t352) @t57))))))))))))))) % 2.52/2.76 (define @t362 () (_ tptp.c_Inj0 @t54)) % 2.52/2.76 (define @t363 () (_ tptp.c_Inj0 tptp.c_Empty)) % 2.52/2.76 (define @t364 () (lambda @t18 (forall @t220 (=> (_ @t165 @t363) (=> (_ @t165 @t362) (=> (forall @t227 (=> @t174 (=> @t171 (_ @t165 (_ tptp.c_Inj1 @t248))))) @t219)))))) % 2.52/2.76 (define @t365 () (@list @t24 @t57)) % 2.52/2.76 (define @t366 () (@var "X8" $$unsorted)) % 2.52/2.76 (define @t367 () (@var "X7" $$unsorted)) % 2.52/2.76 (define @t368 () (_ @t349 @t199)) % 2.52/2.76 (define @t369 () (@var "X9" $$unsorted)) % 2.52/2.76 (define @t370 () (_ @t266 @t199)) % 2.52/2.76 (define @t371 () (_ tptp.c_combinator @t199)) % 2.52/2.76 (define @t372 () (lambda @t16 (forall (@list @t266) (_ (_ (_ (lambda (@list @t24 @t57 @t349) (=> (_ tptp.c_per_i @t266) (=> (forall @t205 (=> @t371 (_ @t370 @t199))) (=> (forall (@list @t199 @t367 @t366 @t369) (=> @t371 (=> (_ tptp.c_combinator @t367) (=> (_ tptp.c_combinator @t366) (=> (_ tptp.c_combinator @t369) (=> (_ @t370 @t366) (=> (_ (_ @t266 @t367) @t369) (_ (_ @t266 (_ @t368 @t367)) (_ (_ @t349 @t366) @t369))))))))) (=> (forall (@list @t199 @t367) (_ (_ @t266 (_ (_ @t349 (_ (_ @t349 @t24) @t199)) @t367)) @t199)) (=> (forall (@list @t199 @t367 @t366) (_ (_ @t266 (_ (_ @t349 (_ (_ @t349 (_ (_ @t349 @t57) @t199)) @t367)) @t366)) (_ (_ @t349 (_ @t368 @t366)) (_ (_ @t349 @t367) @t366)))) (_ (_ @t266 @t11) @t2))))))) @t363) @t362) (lambda @t365 (_ tptp.c_Inj1 @t261)))))) % 2.52/2.76 (define @t373 () (_ (_ tptp.c_equip (_ (_ tptp.c_setprod @t57) @t24)) @t19)) % 2.52/2.76 (define @t374 () (lambda @t305 (exists @t365 (_ (_ tptp.c_or (_ (_ tptp.c_and (_ (_ tptp.c_equip (_ @t246 @t24)) @t2)) @t373)) (_ (_ tptp.c_and (_ (_ tptp.c_equip @t256) @t11)) @t373))))) % 2.52/2.76 (define @t375 () (@var "BOUND_VARIABLE_28283" $$unsorted)) % 2.52/2.76 (define @t376 () (_ @t191 @t2 @t375)) % 2.52/2.76 (define @t377 () (@var "BOUND_VARIABLE_28172" $$unsorted)) % 2.52/2.76 (define @t378 () (tptp.c_Repl @t57 @t194)) % 2.52/2.76 (define @t379 () (= @t378 @t377)) % 2.52/2.76 (define @t380 () (@var "BOUND_VARIABLE_24934" $$unsorted)) % 2.52/2.76 (define @t381 () (tptp.c_In tptp.c_Empty @t380)) % 2.52/2.76 (define @t382 () (not @t381)) % 2.52/2.76 (define @t383 () (and @t382 @t379)) % 2.52/2.76 (define @t384 () (@var "BOUND_VARIABLE_24793" $$unsorted)) % 2.52/2.76 (define @t385 () (= tptp.c_Empty @t384)) % 2.52/2.76 (define @t386 () (@var "BOUND_VARIABLE_24810" $$unsorted)) % 2.52/2.76 (define @t387 () (tptp.c_In tptp.c_Empty @t386)) % 2.52/2.76 (define @t388 () (not @t387)) % 2.52/2.76 (define @t389 () (and @t388 @t385)) % 2.52/2.76 (define @t390 () (and @t387 @t385)) % 2.52/2.76 (define @t391 () (or @t390 @t389)) % 2.52/2.76 (define @t392 () (@list @t384)) % 2.52/2.76 (define @t393 () (lambda @t392 @t391)) % 2.52/2.76 (define @t394 () (tptp.c_Eps_i @t393)) % 2.52/2.76 (define @t395 () (@list @t386)) % 2.52/2.76 (define @t396 () (lambda @t395 @t394)) % 2.52/2.76 (define @t397 () (tptp.c_Power tptp.c_Empty)) % 2.52/2.76 (define @t398 () (tptp.c_Power @t397)) % 2.52/2.76 (define @t399 () (tptp.c_Repl @t398 @t396)) % 2.52/2.76 (define @t400 () (= @t399 @t377)) % 2.52/2.76 (define @t401 () (and @t381 @t400)) % 2.52/2.76 (define @t402 () (or @t401 @t383)) % 2.52/2.76 (define @t403 () (@list @t377)) % 2.52/2.76 (define @t404 () (lambda @t403 @t402)) % 2.52/2.76 (define @t405 () (tptp.c_Eps_i @t404)) % 2.52/2.76 (define @t406 () (@list @t380)) % 2.52/2.76 (define @t407 () (lambda @t406 @t405)) % 2.52/2.76 (define @t408 () (tptp.c_Repl @t398 @t407)) % 2.52/2.76 (define @t409 () (tptp.c_Union @t408)) % 2.52/2.76 (define @t410 () (_ @t191 @t57 @t409)) % 2.52/2.76 (define @t411 () (_ @t194 @t199)) % 2.52/2.76 (define @t412 () (_ @t191 @t199 @t411)) % 2.52/2.76 (define @t413 () (tptp.c_In @t199 @t57)) % 2.52/2.76 (define @t414 () (not @t413)) % 2.52/2.76 (define @t415 () (or @t414 @t412)) % 2.52/2.76 (define @t416 () (forall @t205 @t415)) % 2.52/2.76 (define @t417 () (not @t416)) % 2.52/2.76 (define @t418 () (or @t417 @t410)) % 2.52/2.76 (define @t419 () (forall @t208 @t418)) % 2.52/2.76 (define @t420 () (not @t419)) % 2.52/2.76 (define @t421 () (or @t420 @t376)) % 2.52/2.76 (define @t422 () (forall @t211 @t421)) % 2.52/2.76 (define @t423 () (@list @t375)) % 2.52/2.76 (define @t424 () (lambda @t423 @t422)) % 2.52/2.76 (define @t425 () (tptp.c_Eps_i @t424)) % 2.52/2.76 (define @t426 () (lambda @t33 @t425)) % 2.52/2.76 (define @t427 () (tptp.c_Repl @t397 @t426)) % 2.52/2.76 (define @t428 () (tptp.c_In tptp.c_Empty @t19)) % 2.52/2.76 (define @t429 () (not @t428)) % 2.52/2.76 (define @t430 () (@var "BOUND_VARIABLE_10941" $$unsorted)) % 2.52/2.76 (define @t431 () (@list @t430)) % 2.52/2.76 (define @t432 () (lambda @t431 (tptp.c_Repl @t430 @t426))) % 2.52/2.76 (define @t433 () (@var "BOUND_VARIABLE_26610" $$unsorted)) % 2.52/2.76 (define @t434 () (@var "BOUND_VARIABLE_26647" $$unsorted)) % 2.52/2.76 (define @t435 () (tptp.c_In tptp.c_Empty @t434)) % 2.52/2.76 (define @t436 () (not @t435)) % 2.52/2.76 (define @t437 () (@var "BOUND_VARIABLE_26125" $$unsorted)) % 2.52/2.76 (define @t438 () (@var "BOUND_VARIABLE_26164" $$unsorted)) % 2.52/2.76 (define @t439 () (tptp.c_In tptp.c_Empty @t438)) % 2.52/2.76 (define @t440 () (not @t439)) % 2.52/2.76 (define @t441 () (@list @t437)) % 2.52/2.76 (define @t442 () (@list @t438)) % 2.52/2.76 (define @t443 () (@list @t433)) % 2.52/2.76 (define @t444 () (@list @t434)) % 2.52/2.76 (define @t445 () (tptp.c_Union (tptp.c_Repl @t398 (lambda @t23 (tptp.c_Eps_i (lambda @t30 (or (and @t428 (= @t24 (tptp.c_Repl (tptp.c_Union (tptp.c_Repl @t398 (lambda @t444 (tptp.c_Eps_i (lambda @t443 (or (and @t435 (= @t433 (tptp.c_Repl (tptp.c_Power (tptp.c_Union (tptp.c_Repl @t398 (lambda @t442 (tptp.c_Eps_i (lambda @t441 (or (and @t439 (= @t437 (tptp.c_Repl @t398 @t432))) (and @t440 (= @t437 @t427))))))))) @t432))) (and @t436 (= @t433 (tptp.c_Repl @t398 @t426))))))))) @t432))) (and @t429 (= @t24 @t427))))))))) % 2.52/2.76 (define @t446 () (@var "BOUND_VARIABLE_26809" (-> $$unsorted $$unsorted))) % 2.52/2.76 (define @t447 () (@var "BOUND_VARIABLE_26807" (-> $$unsorted Bool))) % 2.52/2.76 (define @t448 () (@list @t447 @t446)) % 2.52/2.76 (define @t449 () (forall @t448 (not (_ @t447 (_ @t446 (_ @t446 (_ @t446 @t445))))))) % 2.52/2.76 (define @t450 () (@var "BOUND_VARIABLE_26051" $$unsorted)) % 2.52/2.76 (define @t451 () (tptp.c_In @t450 @t19)) % 2.52/2.76 (define @t452 () (@var "BOUND_VARIABLE_26555" $$unsorted)) % 2.52/2.76 (define @t453 () (@list @t450)) % 2.52/2.76 (define @t454 () (not (forall @t453 (or (not (tptp.c_In @t450 @t452)) @t451)))) % 2.52/2.76 (define @t455 () (@var "BOUND_VARIABLE_27952" $$unsorted)) % 2.52/2.76 (define @t456 () (_ @t191 @t2 @t455)) % 2.52/2.76 (define @t457 () (= @t24 @t378)) % 2.52/2.76 (define @t458 () (and @t382 @t457)) % 2.52/2.76 (define @t459 () (= @t24 @t399)) % 2.52/2.76 (define @t460 () (and @t381 @t459)) % 2.52/2.76 (define @t461 () (or @t460 @t458)) % 2.52/2.76 (define @t462 () (lambda @t30 @t461)) % 2.52/2.76 (define @t463 () (tptp.c_Eps_i @t462)) % 2.52/2.76 (define @t464 () (lambda @t406 @t463)) % 2.52/2.76 (define @t465 () (tptp.c_Repl @t398 @t464)) % 2.52/2.76 (define @t466 () (tptp.c_Union @t465)) % 2.52/2.76 (define @t467 () (_ @t191 @t57 @t466)) % 2.52/2.76 (define @t468 () (or @t417 @t467)) % 2.52/2.76 (define @t469 () (forall @t208 @t468)) % 2.52/2.76 (define @t470 () (not @t469)) % 2.52/2.76 (define @t471 () (or @t470 @t456)) % 2.52/2.76 (define @t472 () (forall @t211 @t471)) % 2.52/2.76 (define @t473 () (@list @t455)) % 2.52/2.76 (define @t474 () (lambda @t473 @t472)) % 2.52/2.76 (define @t475 () (tptp.c_Eps_i @t474)) % 2.52/2.76 (define @t476 () (lambda @t33 @t475)) % 2.52/2.76 (define @t477 () (@var "BOUND_VARIABLE_26071" $$unsorted)) % 2.52/2.76 (define @t478 () (@var "BOUND_VARIABLE_11337" $$unsorted)) % 2.52/2.76 (define @t479 () (@var "BOUND_VARIABLE_11310" $$unsorted)) % 2.52/2.76 (define @t480 () (tptp.c_In tptp.c_Empty @t479)) % 2.52/2.76 (define @t481 () (not @t480)) % 2.52/2.76 (define @t482 () (lambda @t431 (tptp.c_Repl @t430 @t476))) % 2.52/2.76 (define @t483 () (@var "BOUND_VARIABLE_26517" $$unsorted)) % 2.52/2.76 (define @t484 () (@list @t478)) % 2.52/2.76 (define @t485 () (@list @t479)) % 2.52/2.76 (define @t486 () (@list @t477)) % 2.52/2.76 (define @t487 () (tptp.c_Power @t398)) % 2.52/2.76 (define @t488 () (@var "BOUND_VARIABLE_26247" $$unsorted)) % 2.52/2.76 (define @t489 () (@var "BOUND_VARIABLE_26205" $$unsorted)) % 2.52/2.76 (define @t490 () (tptp.c_In tptp.c_Empty @t489)) % 2.52/2.76 (define @t491 () (not @t490)) % 2.52/2.76 (define @t492 () (@list @t488)) % 2.52/2.76 (define @t493 () (@list @t489)) % 2.52/2.76 (define @t494 () (@list @t483)) % 2.52/2.76 (define @t495 () (@var "BOUND_VARIABLE_26553" $$unsorted)) % 2.52/2.76 (define @t496 () (@var "BOUND_VARIABLE_26697" (-> $$unsorted Bool))) % 2.52/2.76 (define @t497 () (@var "BOUND_VARIABLE_26699" (-> $$unsorted $$unsorted))) % 2.52/2.76 (define @t498 () (= @t19 (_ @t497 @t19))) % 2.52/2.76 (define @t499 () (@var "BOUND_VARIABLE_25752" $$unsorted)) % 2.52/2.76 (define @t500 () (tptp.c_In @t499 @t19)) % 2.52/2.76 (define @t501 () (@list @t499)) % 2.52/2.76 (define @t502 () (not (forall @t501 (or (not (tptp.c_In @t499 @t495)) @t500)))) % 2.52/2.76 (define @t503 () (@var "BOUND_VARIABLE_26436" $$unsorted)) % 2.52/2.76 (define @t504 () (tptp.c_In @t503 @t19)) % 2.52/2.76 (define @t505 () (@var "BOUND_VARIABLE_10006" $$unsorted)) % 2.52/2.76 (define @t506 () (= tptp.c_Empty @t505)) % 2.52/2.76 (define @t507 () (@var "BOUND_VARIABLE_10023" $$unsorted)) % 2.52/2.76 (define @t508 () (tptp.c_In tptp.c_Empty @t507)) % 2.52/2.76 (define @t509 () (not @t508)) % 2.52/2.76 (define @t510 () (and @t508 @t506)) % 2.52/2.76 (define @t511 () (@list @t505)) % 2.52/2.76 (define @t512 () (@list @t507)) % 2.52/2.76 (define @t513 () (tptp.c_Repl @t398 (lambda @t512 (tptp.c_Eps_i (lambda @t511 (or @t510 (and @t509 @t506))))))) % 2.52/2.76 (define @t514 () (@var "BOUND_VARIABLE_17426" $$unsorted)) % 2.52/2.76 (define @t515 () (@var "BOUND_VARIABLE_17459" $$unsorted)) % 2.52/2.76 (define @t516 () (tptp.c_In tptp.c_Empty @t515)) % 2.52/2.76 (define @t517 () (= tptp.c_Empty @t514)) % 2.52/2.76 (define @t518 () (and @t516 @t517)) % 2.52/2.76 (define @t519 () (@list @t514)) % 2.52/2.76 (define @t520 () (@list @t515)) % 2.52/2.76 (define @t521 () (tptp.c_Union (tptp.c_Repl @t398 (lambda @t520 (tptp.c_Eps_i (lambda @t519 (or @t518 (and (not @t516) (= @t514 @t513))))))))) % 2.52/2.76 (define @t522 () (@var "BOUND_VARIABLE_17907" $$unsorted)) % 2.52/2.76 (define @t523 () (= @t522 @t521)) % 2.52/2.76 (define @t524 () (@var "BOUND_VARIABLE_17872" $$unsorted)) % 2.52/2.76 (define @t525 () (tptp.c_In tptp.c_Empty @t524)) % 2.52/2.76 (define @t526 () (@list @t522)) % 2.52/2.76 (define @t527 () (@list @t524)) % 2.52/2.76 (define @t528 () (@var "BOUND_VARIABLE_9225" $$unsorted)) % 2.52/2.76 (define @t529 () (= @t528 (tptp.c_Repl @t398 (lambda @t527 (tptp.c_Eps_i (lambda @t526 (or (and @t525 @t523) (and (not @t525) @t523)))))))) % 2.52/2.76 (define @t530 () (@var "BOUND_VARIABLE_9242" $$unsorted)) % 2.52/2.76 (define @t531 () (tptp.c_In tptp.c_Empty @t530)) % 2.52/2.76 (define @t532 () (not @t531)) % 2.52/2.76 (define @t533 () (@list @t528)) % 2.52/2.76 (define @t534 () (@list @t530)) % 2.52/2.76 (define @t535 () (@var "BOUND_VARIABLE_17821" $$unsorted)) % 2.52/2.76 (define @t536 () (@var "BOUND_VARIABLE_17961" $$unsorted)) % 2.52/2.76 (define @t537 () (tptp.c_In tptp.c_Empty @t536)) % 2.52/2.76 (define @t538 () (and @t537 (= @t535 @t503))) % 2.52/2.76 (define @t539 () (@list @t535)) % 2.52/2.76 (define @t540 () (@list @t536)) % 2.52/2.76 (define @t541 () (tptp.c_In (tptp.c_Union (tptp.c_Repl @t398 (lambda @t540 (tptp.c_Eps_i (lambda @t539 (or @t538 (and (not @t537) (= @t535 (tptp.c_Repl @t398 (lambda @t534 (tptp.c_Eps_i (lambda @t533 (or (and @t531 @t529) (and @t532 @t529)))))))))))))) @t19)) % 2.52/2.76 (define @t542 () (not @t504)) % 2.52/2.76 (define @t543 () (not (tptp.c_In @t503 @t2))) % 2.52/2.76 (define @t544 () (@list @t503)) % 2.52/2.76 (define @t545 () (@var "BOUND_VARIABLE_17509" $$unsorted)) % 2.52/2.76 (define @t546 () (= @t545 @t521)) % 2.52/2.76 (define @t547 () (@var "BOUND_VARIABLE_17557" $$unsorted)) % 2.52/2.76 (define @t548 () (tptp.c_In tptp.c_Empty @t547)) % 2.52/2.76 (define @t549 () (@list @t545)) % 2.52/2.76 (define @t550 () (@list @t547)) % 2.52/2.76 (define @t551 () (= @t528 (tptp.c_Repl @t398 (lambda @t550 (tptp.c_Eps_i (lambda @t549 (or (and @t548 @t546) (and (not @t548) @t546)))))))) % 2.52/2.76 (define @t552 () (@var "BOUND_VARIABLE_17609" $$unsorted)) % 2.52/2.76 (define @t553 () (@var "BOUND_VARIABLE_17392" $$unsorted)) % 2.52/2.76 (define @t554 () (tptp.c_In tptp.c_Empty @t553)) % 2.52/2.76 (define @t555 () (@var "BOUND_VARIABLE_18053" $$unsorted)) % 2.52/2.76 (define @t556 () (and @t554 (= @t552 @t555))) % 2.52/2.76 (define @t557 () (@list @t552)) % 2.52/2.76 (define @t558 () (@list @t553)) % 2.52/2.76 (define @t559 () (@list @t555)) % 2.52/2.76 (define @t560 () (@var "BOUND_VARIABLE_17688" $$unsorted)) % 2.52/2.76 (define @t561 () (tptp.c_In tptp.c_Empty @t560)) % 2.52/2.76 (define @t562 () (= @t2 @t24)) % 2.52/2.76 (define @t563 () (and @t561 @t562)) % 2.52/2.76 (define @t564 () (@list @t560)) % 2.52/2.76 (define @t565 () (@var "BOUND_VARIABLE_26460" $$unsorted)) % 2.52/2.76 (define @t566 () (not (tptp.c_In @t565 @t19))) % 2.52/2.76 (define @t567 () (@list @t565)) % 2.52/2.76 (define @t568 () (@var "BOUND_VARIABLE_18357" $$unsorted)) % 2.52/2.76 (define @t569 () (@var "BOUND_VARIABLE_10783" $$unsorted)) % 2.52/2.76 (define @t570 () (tptp.c_In @t569 @t568)) % 2.52/2.76 (define @t571 () (@var "BOUND_VARIABLE_10781" $$unsorted)) % 2.52/2.76 (define @t572 () (not (tptp.c_In @t569 @t571))) % 2.52/2.76 (define @t573 () (not (tptp.c_In @t571 @t568))) % 2.52/2.76 (define @t574 () (@list @t568 @t571 @t569)) % 2.52/2.76 (define @t575 () (forall @t574 (or (not (tptp.c_In @t568 @t2)) @t573 @t572 @t570))) % 2.52/2.76 (define @t576 () (not @t575)) % 2.52/2.76 (define @t577 () (@var "BOUND_VARIABLE_7828" $$unsorted)) % 2.52/2.76 (define @t578 () (tptp.c_In @t577 @t2)) % 2.52/2.76 (define @t579 () (@var "BOUND_VARIABLE_18367" $$unsorted)) % 2.52/2.76 (define @t580 () (not (tptp.c_In @t577 @t579))) % 2.52/2.76 (define @t581 () (@list @t579 @t577)) % 2.52/2.76 (define @t582 () (forall @t581 (or (not (tptp.c_In @t579 @t2)) @t580 @t578))) % 2.52/2.76 (define @t583 () (not @t582)) % 2.52/2.76 (define @t584 () (not (forall @t33 (or @t583 @t576 (not (forall @t567 (or @t566 (tptp.c_In @t565 (tptp.c_Union (tptp.c_Repl @t398 (lambda @t564 (tptp.c_Eps_i (lambda @t30 (or @t563 (and (not @t561) (= @t24 (tptp.c_Repl @t2 (lambda @t559 (tptp.c_Union (tptp.c_Repl @t398 (lambda @t558 (tptp.c_Eps_i (lambda @t557 (or @t556 (and (not @t554) (= @t552 (tptp.c_Repl @t398 (lambda @t534 (tptp.c_Eps_i (lambda @t533 (or (and @t531 @t551) (and @t532 @t551)))))))))))))))))))))))))))) (not (forall @t544 (or @t543 (and @t541 @t542) (and (not @t541) @t504)))))))) % 2.52/2.76 (define @t585 () (@list @t19 @t495 @t452)) % 2.52/2.76 (define @t586 () (not (forall @t585 (or @t584 @t502 (and @t498 (or (_ @t496 (tptp.c_Union (tptp.c_Repl @t495 (lambda @t494 (tptp.c_Repl (tptp.c_Union (tptp.c_Repl @t398 (lambda @t493 (tptp.c_Eps_i (lambda @t492 (or (and @t490 (= @t488 (tptp.c_Repl (tptp.c_Power (tptp.c_Union (tptp.c_Repl @t398 (lambda @t442 (tptp.c_Eps_i (lambda @t441 (or (and @t439 (= @t437 (tptp.c_Repl @t398 @t482))) (and @t440 (= @t437 (tptp.c_Repl @t397 @t476)))))))))) @t482))) (and @t491 (= @t488 (tptp.c_Repl @t487 @t476))))))))) (lambda @t486 (tptp.c_Union (tptp.c_Repl @t398 (lambda @t485 (tptp.c_Eps_i (lambda @t484 (or (and @t480 (= @t478 (tptp.c_Repl @t483 @t482))) (and @t481 (= @t478 (tptp.c_Repl @t477 @t476))))))))))))))) @t454)))))) % 2.52/2.76 (define @t587 () (@var "BOUND_VARIABLE_25974" $$unsorted)) % 2.52/2.76 (define @t588 () (@var "BOUND_VARIABLE_25976" $$unsorted)) % 2.52/2.76 (define @t589 () (tptp.c_In @t588 (tptp.c_Power @t587))) % 2.52/2.76 (define @t590 () (_ @t497 @t24)) % 2.52/2.76 (define @t591 () (= @t505 @t590)) % 2.52/2.76 (define @t592 () (and @t508 @t591)) % 2.52/2.76 (define @t593 () (@var "BOUND_VARIABLE_25772" $$unsorted)) % 2.52/2.76 (define @t594 () (= @t593 (tptp.c_Repl @t398 (lambda @t512 (tptp.c_Eps_i (lambda @t511 (or @t592 (and @t509 @t591)))))))) % 2.52/2.76 (define @t595 () (@var "BOUND_VARIABLE_25995" $$unsorted)) % 2.52/2.76 (define @t596 () (tptp.c_In tptp.c_Empty @t595)) % 2.52/2.76 (define @t597 () (= @t593 @t590)) % 2.52/2.76 (define @t598 () (and @t596 @t597)) % 2.52/2.76 (define @t599 () (@list @t593)) % 2.52/2.76 (define @t600 () (@list @t595)) % 2.52/2.76 (define @t601 () (tptp.c_Union (tptp.c_Repl @t398 (lambda @t600 (tptp.c_Eps_i (lambda @t599 (or @t598 (and (not @t596) @t594)))))))) % 2.52/2.76 (define @t602 () (not (tptp.c_In @t588 @t601))) % 2.52/2.76 (define @t603 () (not (tptp.c_In @t587 @t601))) % 2.52/2.76 (define @t604 () (@var "BOUND_VARIABLE_7987" $$unsorted)) % 2.52/2.76 (define @t605 () (@var "BOUND_VARIABLE_7989" $$unsorted)) % 2.52/2.76 (define @t606 () (tptp.c_In @t605 (tptp.c_Power @t604))) % 2.52/2.76 (define @t607 () (not (tptp.c_In @t605 @t2))) % 2.52/2.76 (define @t608 () (@var "BOUND_VARIABLE_7980" $$unsorted)) % 2.52/2.76 (define @t609 () (tptp.c_In @t608 @t2)) % 2.52/2.76 (define @t610 () (not (tptp.c_In @t608 @t601))) % 2.52/2.76 (define @t611 () (not (tptp.c_In @t604 @t2))) % 2.52/2.76 (define @t612 () (@var "BOUND_VARIABLE_25902" $$unsorted)) % 2.52/2.76 (define @t613 () (tptp.c_In tptp.c_Empty @t612)) % 2.52/2.76 (define @t614 () (and @t613 @t597)) % 2.52/2.76 (define @t615 () (@list @t612)) % 2.52/2.76 (define @t616 () (@var "BOUND_VARIABLE_26018" $$unsorted)) % 2.52/2.76 (define @t617 () (not (tptp.c_In @t616 @t2))) % 2.52/2.76 (define @t618 () (@list @t616)) % 2.52/2.76 (define @t619 () (not (forall @t618 (or @t617 (tptp.c_In @t616 (tptp.c_Union (tptp.c_Repl @t398 (lambda @t615 (tptp.c_Eps_i (lambda @t599 (or @t614 (and (not @t613) @t594)))))))))))) % 2.52/2.76 (define @t620 () (or @t619 @t611 @t610 @t609 @t607 @t606)) % 2.52/2.76 (define @t621 () (@list @t2 @t608 @t604 @t605)) % 2.52/2.76 (define @t622 () (not (forall @t621 @t620))) % 2.52/2.76 (define @t623 () (not (tptp.c_In @t499 @t24))) % 2.52/2.76 (define @t624 () (forall @t501 (or @t623 @t500))) % 2.52/2.76 (define @t625 () (not @t624)) % 2.52/2.76 (define @t626 () (or @t625 @t622 @t603 @t602 @t589)) % 2.52/2.76 (define @t627 () (@list @t24 @t587 @t588)) % 2.52/2.76 (define @t628 () (tptp.c_In @t19 tptp.c_Empty)) % 2.52/2.76 (define @t629 () (not @t628)) % 2.52/2.76 (define @t630 () (not (forall @t23 (or @t629 (not (forall @t627 @t626)))))) % 2.52/2.76 (define @t631 () (_ @t497 tptp.c_Empty)) % 2.52/2.76 (define @t632 () (@var "BOUND_VARIABLE_26950" $$unsorted)) % 2.52/2.76 (define @t633 () (@var "BOUND_VARIABLE_26948" $$unsorted)) % 2.52/2.76 (define @t634 () (or (not (tptp.c_In @t633 @t631)) (not (tptp.c_In @t632 @t633)) (tptp.c_In @t632 @t631))) % 2.52/2.76 (define @t635 () (= tptp.c_Empty @t24)) % 2.52/2.76 (define @t636 () (@var "BOUND_VARIABLE_27372" $$unsorted)) % 2.52/2.76 (define @t637 () (_ @t191 @t2 @t636)) % 2.52/2.76 (define @t638 () (@var "BOUND_VARIABLE_27520" $$unsorted)) % 2.52/2.76 (define @t639 () (= @t378 @t638)) % 2.52/2.76 (define @t640 () (and @t382 @t639)) % 2.52/2.76 (define @t641 () (= @t399 @t638)) % 2.52/2.76 (define @t642 () (and @t381 @t641)) % 2.52/2.76 (define @t643 () (or @t642 @t640)) % 2.52/2.76 (define @t644 () (@list @t638)) % 2.52/2.76 (define @t645 () (lambda @t644 @t643)) % 2.52/2.76 (define @t646 () (tptp.c_Eps_i @t645)) % 2.52/2.76 (define @t647 () (lambda @t406 @t646)) % 2.52/2.76 (define @t648 () (tptp.c_Repl @t398 @t647)) % 2.52/2.76 (define @t649 () (tptp.c_Union @t648)) % 2.52/2.76 (define @t650 () (_ @t191 @t57 @t649)) % 2.52/2.76 (define @t651 () (or @t417 @t650)) % 2.52/2.76 (define @t652 () (forall @t208 @t651)) % 2.52/2.76 (define @t653 () (not @t652)) % 2.52/2.76 (define @t654 () (@list @t636)) % 2.52/2.76 (define @t655 () (lambda @t33 (tptp.c_Eps_i (lambda @t654 (forall @t211 (or @t653 @t637)))))) % 2.52/2.76 (define @t656 () (@var "BOUND_VARIABLE_25632" $$unsorted)) % 2.52/2.76 (define @t657 () (@list @t656)) % 2.52/2.76 (define @t658 () (@var "BOUND_VARIABLE_9352" $$unsorted)) % 2.52/2.76 (define @t659 () (_ @t497 @t397)) % 2.52/2.76 (define @t660 () (tptp.c_In @t658 @t659)) % 2.52/2.76 (define @t661 () (not @t660)) % 2.52/2.76 (define @t662 () (@list @t658)) % 2.52/2.76 (define @t663 () (forall @t662 (or @t661 (not (tptp.c_In @t658 (_ @t497 (tptp.c_Union (tptp.c_Repl @t398 (lambda @t23 (tptp.c_Eps_i (lambda @t657 (or (and @t428 (= @t656 (tptp.c_Repl @t487 (lambda @t431 (tptp.c_Repl @t430 @t655))))) (and @t429 (= @t656 (tptp.c_Repl @t397 @t655))))))))))))))) % 2.52/2.76 (define @t664 () (and @t663 @t635)) % 2.52/2.76 (define @t665 () (@var "BOUND_VARIABLE_27432" $$unsorted)) % 2.52/2.76 (define @t666 () (_ @t191 @t2 @t665)) % 2.52/2.76 (define @t667 () (@var "BOUND_VARIABLE_27562" $$unsorted)) % 2.52/2.76 (define @t668 () (@var "BOUND_VARIABLE_27463" $$unsorted)) % 2.52/2.76 (define @t669 () (tptp.c_Repl @t668 @t194)) % 2.52/2.76 (define @t670 () (= @t669 @t667)) % 2.52/2.76 (define @t671 () (and @t382 @t670)) % 2.52/2.76 (define @t672 () (= @t399 @t667)) % 2.52/2.76 (define @t673 () (and @t381 @t672)) % 2.52/2.76 (define @t674 () (or @t673 @t671)) % 2.52/2.76 (define @t675 () (@list @t667)) % 2.52/2.76 (define @t676 () (lambda @t675 @t674)) % 2.52/2.76 (define @t677 () (tptp.c_Eps_i @t676)) % 2.52/2.76 (define @t678 () (lambda @t406 @t677)) % 2.52/2.76 (define @t679 () (tptp.c_Repl @t398 @t678)) % 2.52/2.76 (define @t680 () (tptp.c_Union @t679)) % 2.52/2.76 (define @t681 () (_ @t191 @t668 @t680)) % 2.52/2.76 (define @t682 () (tptp.c_In @t199 @t668)) % 2.52/2.76 (define @t683 () (not @t682)) % 2.52/2.76 (define @t684 () (or @t683 @t412)) % 2.52/2.76 (define @t685 () (forall @t205 @t684)) % 2.52/2.76 (define @t686 () (not @t685)) % 2.52/2.76 (define @t687 () (or @t686 @t681)) % 2.52/2.76 (define @t688 () (@list @t668 @t194)) % 2.52/2.76 (define @t689 () (forall @t688 @t687)) % 2.52/2.76 (define @t690 () (not @t689)) % 2.52/2.76 (define @t691 () (or @t690 @t666)) % 2.52/2.76 (define @t692 () (forall @t211 @t691)) % 2.52/2.76 (define @t693 () (@list @t665)) % 2.52/2.76 (define @t694 () (lambda @t693 @t692)) % 2.52/2.76 (define @t695 () (tptp.c_Eps_i @t694)) % 2.52/2.76 (define @t696 () (lambda @t33 @t695)) % 2.52/2.76 (define @t697 () (@var "BOUND_VARIABLE_25653" $$unsorted)) % 2.52/2.76 (define @t698 () (@list @t697)) % 2.52/2.76 (define @t699 () (tptp.c_In @t57 @t659)) % 2.52/2.76 (define @t700 () (@var "BOUND_VARIABLE_9370" $$unsorted)) % 2.52/2.76 (define @t701 () (or @t653 @t666)) % 2.52/2.76 (define @t702 () (forall @t211 @t701)) % 2.52/2.76 (define @t703 () (lambda @t693 @t702)) % 2.52/2.76 (define @t704 () (tptp.c_Eps_i @t703)) % 2.52/2.76 (define @t705 () (lambda @t33 @t704)) % 2.52/2.76 (define @t706 () (@var "BOUND_VARIABLE_9444" $$unsorted)) % 2.52/2.76 (define @t707 () (tptp.c_In @t706 (_ @t497 (tptp.c_Union (tptp.c_Repl @t398 (lambda @t23 (tptp.c_Eps_i (lambda @t698 (or (and @t428 (= @t697 (tptp.c_Repl @t487 (lambda @t431 (tptp.c_Repl @t430 @t705))))) (and @t429 (= @t697 (tptp.c_Repl @t397 @t705)))))))))))) % 2.52/2.76 (define @t708 () (= @t700 @t706)) % 2.52/2.76 (define @t709 () (@list @t700)) % 2.52/2.76 (define @t710 () (@list @t706)) % 2.52/2.76 (define @t711 () (not @t663)) % 2.52/2.76 (define @t712 () (@list @t496 @t497 @t633 @t632)) % 2.52/2.76 (define @t713 () (_ tptp.c_Repl @t57)) % 2.52/2.76 (define @t714 () (_ @t713 @t194)) % 2.52/2.76 (define @t715 () (_ @t153 @t380)) % 2.52/2.76 (define @t716 () (not @t715)) % 2.52/2.76 (define @t717 () (_ @t153 @t386)) % 2.52/2.76 (define @t718 () (and @t717 @t385)) % 2.52/2.76 (define @t719 () (lambda @t392 (or @t718 (and (not @t717) @t385)))) % 2.52/2.76 (define @t720 () (lambda @t395 (_ tptp.c_Eps_i @t719))) % 2.52/2.76 (define @t721 () (_ @t156 @t720)) % 2.52/2.76 (define @t722 () (lambda @t403 (or (and @t715 (= @t721 @t377)) (and @t716 (= @t714 @t377))))) % 2.52/2.76 (define @t723 () (lambda @t406 (_ tptp.c_Eps_i @t722))) % 2.52/2.76 (define @t724 () (_ @t156 @t723)) % 2.52/2.76 (define @t725 () (_ tptp.c_Union @t724)) % 2.52/2.76 (define @t726 () (not @t204)) % 2.52/2.76 (define @t727 () (or @t726 @t202)) % 2.52/2.76 (define @t728 () (forall @t205 @t727)) % 2.52/2.76 (define @t729 () (not @t728)) % 2.52/2.76 (define @t730 () (lambda @t423 (forall @t211 (or (not (forall @t208 (or @t729 (_ @t197 @t725)))) (_ @t192 @t375))))) % 2.52/2.76 (define @t731 () (_ tptp.c_Eps_i @t424)) % 2.52/2.76 (define @t732 () (lambda @t33 @t731)) % 2.52/2.76 (define @t733 () (tptp.c_Repl @t397 @t732)) % 2.52/2.76 (define @t734 () (= @t24 @t733)) % 2.52/2.76 (define @t735 () (and @t429 @t734)) % 2.52/2.76 (define @t736 () (tptp.c_Repl @t430 @t732)) % 2.52/2.76 (define @t737 () (lambda @t431 @t736)) % 2.52/2.76 (define @t738 () (tptp.c_Repl @t398 @t732)) % 2.52/2.76 (define @t739 () (= @t433 @t738)) % 2.52/2.76 (define @t740 () (and @t436 @t739)) % 2.52/2.76 (define @t741 () (= @t437 @t733)) % 2.52/2.76 (define @t742 () (and @t440 @t741)) % 2.52/2.76 (define @t743 () (tptp.c_Repl @t398 @t737)) % 2.52/2.76 (define @t744 () (= @t437 @t743)) % 2.52/2.76 (define @t745 () (and @t439 @t744)) % 2.52/2.76 (define @t746 () (or @t745 @t742)) % 2.52/2.76 (define @t747 () (lambda @t441 @t746)) % 2.52/2.76 (define @t748 () (tptp.c_Eps_i @t747)) % 2.52/2.76 (define @t749 () (lambda @t442 @t748)) % 2.52/2.76 (define @t750 () (tptp.c_Repl @t398 @t749)) % 2.52/2.76 (define @t751 () (tptp.c_Union @t750)) % 2.52/2.76 (define @t752 () (tptp.c_Power @t751)) % 2.52/2.76 (define @t753 () (tptp.c_Repl @t752 @t737)) % 2.52/2.76 (define @t754 () (= @t433 @t753)) % 2.52/2.76 (define @t755 () (and @t435 @t754)) % 2.52/2.76 (define @t756 () (or @t755 @t740)) % 2.52/2.76 (define @t757 () (lambda @t443 @t756)) % 2.52/2.76 (define @t758 () (tptp.c_Eps_i @t757)) % 2.52/2.76 (define @t759 () (lambda @t444 @t758)) % 2.52/2.76 (define @t760 () (tptp.c_Repl @t398 @t759)) % 2.52/2.76 (define @t761 () (tptp.c_Union @t760)) % 2.52/2.76 (define @t762 () (tptp.c_Repl @t761 @t737)) % 2.52/2.76 (define @t763 () (= @t24 @t762)) % 2.52/2.76 (define @t764 () (and @t428 @t763)) % 2.52/2.76 (define @t765 () (or @t764 @t735)) % 2.52/2.76 (define @t766 () (lambda @t30 @t765)) % 2.52/2.76 (define @t767 () (tptp.c_Eps_i @t766)) % 2.52/2.76 (define @t768 () (lambda @t23 @t767)) % 2.52/2.76 (define @t769 () (tptp.c_Repl @t398 @t768)) % 2.52/2.76 (define @t770 () (tptp.c_Union @t769)) % 2.52/2.76 (define @t771 () (_ @t446 @t770)) % 2.52/2.76 (define @t772 () (_ @t446 @t771)) % 2.52/2.76 (define @t773 () (_ @t446 @t772)) % 2.52/2.76 (define @t774 () (_ @t447 @t773)) % 2.52/2.76 (define @t775 () (not @t774)) % 2.52/2.76 (define @t776 () (_ @t191 @t2 @t19)) % 2.52/2.76 (define @t777 () (lambda @t33 (_ tptp.c_Eps_i (lambda @t23 (forall @t211 (or @t420 @t776)))))) % 2.52/2.76 (define @t778 () (tptp.c_Repl @t397 @t777)) % 2.52/2.76 (define @t779 () (lambda @t431 (tptp.c_Repl @t430 @t777))) % 2.52/2.76 (define @t780 () (and @t382 (= @t377 @t378))) % 2.52/2.76 (define @t781 () (and @t381 (= @t377 @t399))) % 2.52/2.76 (define @t782 () (or @t781 @t780)) % 2.52/2.76 (define @t783 () (lambda @t403 @t782)) % 2.52/2.76 (define @t784 () (tptp.c_Eps_i @t783)) % 2.52/2.76 (define @t785 () (lambda @t406 @t784)) % 2.52/2.76 (define @t786 () (tptp.c_Repl @t398 @t785)) % 2.52/2.76 (define @t787 () (tptp.c_Union @t786)) % 2.52/2.76 (define @t788 () (_ @t191 @t57 @t787)) % 2.52/2.76 (define @t789 () (or @t417 @t788)) % 2.52/2.76 (define @t790 () (forall @t208 @t789)) % 2.52/2.76 (define @t791 () (not @t790)) % 2.52/2.76 (define @t792 () (or @t791 @t776)) % 2.52/2.76 (define @t793 () (forall @t211 @t792)) % 2.52/2.76 (define @t794 () (lambda @t23 @t793)) % 2.52/2.76 (define @t795 () (lambda @t33 (_ tptp.c_Eps_i @t794))) % 2.52/2.76 (define @t796 () (tptp.c_Repl @t397 @t795)) % 2.52/2.76 (define @t797 () (= @t24 @t796)) % 2.52/2.76 (define @t798 () (and @t429 @t797)) % 2.52/2.76 (define @t799 () (tptp.c_Repl @t430 @t795)) % 2.52/2.76 (define @t800 () (lambda @t431 @t799)) % 2.52/2.76 (define @t801 () (tptp.c_Repl @t398 @t795)) % 2.52/2.76 (define @t802 () (= @t433 @t801)) % 2.52/2.76 (define @t803 () (and @t436 @t802)) % 2.52/2.76 (define @t804 () (= @t437 @t796)) % 2.52/2.76 (define @t805 () (and @t440 @t804)) % 2.52/2.76 (define @t806 () (tptp.c_Repl @t398 @t800)) % 2.52/2.76 (define @t807 () (= @t437 @t806)) % 2.52/2.76 (define @t808 () (and @t439 @t807)) % 2.52/2.76 (define @t809 () (or @t808 @t805)) % 2.52/2.76 (define @t810 () (lambda @t441 @t809)) % 2.52/2.76 (define @t811 () (tptp.c_Eps_i @t810)) % 2.52/2.76 (define @t812 () (lambda @t442 @t811)) % 2.52/2.76 (define @t813 () (tptp.c_Repl @t398 @t812)) % 2.52/2.76 (define @t814 () (tptp.c_Union @t813)) % 2.52/2.76 (define @t815 () (tptp.c_Power @t814)) % 2.52/2.76 (define @t816 () (tptp.c_Repl @t815 @t800)) % 2.52/2.76 (define @t817 () (= @t433 @t816)) % 2.52/2.76 (define @t818 () (and @t435 @t817)) % 2.52/2.76 (define @t819 () (or @t818 @t803)) % 2.52/2.76 (define @t820 () (lambda @t443 @t819)) % 2.52/2.76 (define @t821 () (tptp.c_Eps_i @t820)) % 2.52/2.76 (define @t822 () (lambda @t444 @t821)) % 2.52/2.76 (define @t823 () (tptp.c_Repl @t398 @t822)) % 2.52/2.76 (define @t824 () (tptp.c_Union @t823)) % 2.52/2.76 (define @t825 () (tptp.c_Repl @t824 @t800)) % 2.52/2.76 (define @t826 () (= @t24 @t825)) % 2.52/2.76 (define @t827 () (and @t428 @t826)) % 2.52/2.76 (define @t828 () (or @t827 @t798)) % 2.52/2.76 (define @t829 () (lambda @t30 @t828)) % 2.52/2.76 (define @t830 () (lambda @t23 (forall @t211 (or @t470 @t776)))) % 2.52/2.76 (define @t831 () (lambda @t33 (_ tptp.c_Eps_i @t830))) % 2.52/2.76 (define @t832 () (tptp.c_Repl @t397 @t831)) % 2.52/2.76 (define @t833 () (tptp.c_Repl @t430 @t831)) % 2.52/2.76 (define @t834 () (lambda @t431 @t833)) % 2.52/2.76 (define @t835 () (= @t437 @t832)) % 2.52/2.76 (define @t836 () (and @t440 @t835)) % 2.52/2.76 (define @t837 () (tptp.c_Repl @t398 @t834)) % 2.52/2.76 (define @t838 () (= @t437 @t837)) % 2.52/2.76 (define @t839 () (and @t439 @t838)) % 2.52/2.76 (define @t840 () (or @t839 @t836)) % 2.52/2.76 (define @t841 () (lambda @t441 @t840)) % 2.52/2.76 (define @t842 () (tptp.c_Eps_i @t841)) % 2.52/2.76 (define @t843 () (lambda @t442 @t842)) % 2.52/2.76 (define @t844 () (tptp.c_Repl @t398 @t843)) % 2.52/2.76 (define @t845 () (tptp.c_Union @t844)) % 2.52/2.76 (define @t846 () (tptp.c_Power @t845)) % 2.52/2.76 (define @t847 () (tptp.c_Repl @t846 @t834)) % 2.52/2.76 (define @t848 () (and (=> @t381 false) @t457)) % 2.52/2.76 (define @t849 () (and (=> @t387 false) @t385)) % 2.52/2.76 (define @t850 () (or @t390 @t849)) % 2.52/2.76 (define @t851 () (lambda @t392 @t850)) % 2.52/2.76 (define @t852 () (tptp.c_Eps_i @t851)) % 2.52/2.76 (define @t853 () (lambda @t395 @t852)) % 2.52/2.76 (define @t854 () (tptp.c_Repl @t398 @t853)) % 2.52/2.76 (define @t855 () (= @t24 @t854)) % 2.52/2.76 (define @t856 () (and @t381 @t855)) % 2.52/2.76 (define @t857 () (or @t856 @t848)) % 2.52/2.76 (define @t858 () (lambda @t30 @t857)) % 2.52/2.76 (define @t859 () (tptp.c_Eps_i @t858)) % 2.52/2.76 (define @t860 () (lambda @t406 @t859)) % 2.52/2.76 (define @t861 () (tptp.c_Repl @t398 @t860)) % 2.52/2.76 (define @t862 () (tptp.c_Union @t861)) % 2.52/2.76 (define @t863 () (_ @t191 @t57 @t862)) % 2.52/2.76 (define @t864 () (or @t417 @t863)) % 2.52/2.76 (define @t865 () (forall @t208 @t864)) % 2.52/2.76 (define @t866 () (not @t865)) % 2.52/2.76 (define @t867 () (or @t866 @t776)) % 2.52/2.76 (define @t868 () (forall @t211 @t867)) % 2.52/2.76 (define @t869 () (lambda @t23 @t868)) % 2.52/2.76 (define @t870 () (lambda @t33 (_ tptp.c_Eps_i @t869))) % 2.52/2.76 (define @t871 () (tptp.c_Repl @t397 @t870)) % 2.52/2.76 (define @t872 () (= @t24 @t871)) % 2.52/2.76 (define @t873 () (=> @t428 false)) % 2.52/2.76 (define @t874 () (and @t873 @t872)) % 2.52/2.76 (define @t875 () (tptp.c_Repl @t430 @t870)) % 2.52/2.76 (define @t876 () (lambda @t431 @t875)) % 2.52/2.76 (define @t877 () (tptp.c_Repl @t398 @t870)) % 2.52/2.76 (define @t878 () (= @t433 @t877)) % 2.52/2.76 (define @t879 () (and (=> @t435 false) @t878)) % 2.52/2.76 (define @t880 () (= @t871 @t437)) % 2.52/2.76 (define @t881 () (and (=> @t439 false) @t880)) % 2.52/2.76 (define @t882 () (tptp.c_Repl @t398 @t876)) % 2.52/2.76 (define @t883 () (= @t437 @t882)) % 2.52/2.76 (define @t884 () (and @t439 @t883)) % 2.52/2.76 (define @t885 () (or @t884 @t881)) % 2.52/2.76 (define @t886 () (lambda @t441 @t885)) % 2.52/2.76 (define @t887 () (tptp.c_Eps_i @t886)) % 2.52/2.76 (define @t888 () (lambda @t442 @t887)) % 2.52/2.76 (define @t889 () (tptp.c_Repl @t398 @t888)) % 2.52/2.76 (define @t890 () (tptp.c_Union @t889)) % 2.52/2.76 (define @t891 () (tptp.c_Power @t890)) % 2.52/2.76 (define @t892 () (tptp.c_Repl @t891 @t876)) % 2.52/2.76 (define @t893 () (= @t892 @t433)) % 2.52/2.76 (define @t894 () (and @t435 @t893)) % 2.52/2.76 (define @t895 () (or @t894 @t879)) % 2.52/2.76 (define @t896 () (lambda @t443 @t895)) % 2.52/2.76 (define @t897 () (tptp.c_Eps_i @t896)) % 2.52/2.76 (define @t898 () (lambda @t444 @t897)) % 2.52/2.76 (define @t899 () (tptp.c_Repl @t398 @t898)) % 2.52/2.76 (define @t900 () (tptp.c_Union @t899)) % 2.52/2.76 (define @t901 () (tptp.c_Repl @t900 @t876)) % 2.52/2.76 (define @t902 () (= @t24 @t901)) % 2.52/2.76 (define @t903 () (and @t428 @t902)) % 2.52/2.76 (define @t904 () (or @t903 @t874)) % 2.52/2.76 (define @t905 () (lambda @t30 @t904)) % 2.52/2.76 (define @t906 () (tptp.c_Eps_i @t905)) % 2.52/2.76 (define @t907 () (lambda @t23 @t906)) % 2.52/2.76 (define @t908 () (tptp.c_Repl @t398 @t907)) % 2.52/2.76 (define @t909 () (tptp.c_Union @t908)) % 2.52/2.76 (define @t910 () (_ @t446 @t909)) % 2.52/2.76 (define @t911 () (_ @t446 @t910)) % 2.52/2.76 (define @t912 () (_ @t446 @t911)) % 2.52/2.76 (define @t913 () (_ @t447 @t912)) % 2.52/2.76 (define @t914 () (not @t913)) % 2.52/2.76 (define @t915 () (forall @t448 @t914)) % 2.52/2.76 (define @t916 () (or false @t915)) % 2.52/2.76 (define @t917 () (_ @t192 @t665)) % 2.52/2.76 (define @t918 () (lambda @t675 (or (and @t715 (= @t721 @t667)) (and @t716 (= (_ (_ tptp.c_Repl @t668) @t194) @t667))))) % 2.52/2.76 (define @t919 () (lambda @t406 (_ tptp.c_Eps_i @t918))) % 2.52/2.76 (define @t920 () (_ @t156 @t919)) % 2.52/2.76 (define @t921 () (_ tptp.c_Union @t920)) % 2.52/2.76 (define @t922 () (lambda @t693 (forall @t211 (or (not (forall @t688 (or (not (forall @t205 (or (not (_ @t203 @t668)) @t202))) (_ (_ @t191 @t668) @t921)))) @t917)))) % 2.52/2.76 (define @t923 () (_ tptp.c_Eps_i @t694)) % 2.52/2.76 (define @t924 () (lambda @t33 @t923)) % 2.52/2.76 (define @t925 () (tptp.c_Repl @t397 @t924)) % 2.52/2.76 (define @t926 () (= @t697 @t925)) % 2.52/2.76 (define @t927 () (and @t429 @t926)) % 2.52/2.76 (define @t928 () (tptp.c_Repl @t430 @t924)) % 2.52/2.76 (define @t929 () (lambda @t431 @t928)) % 2.52/2.76 (define @t930 () (tptp.c_Repl @t487 @t929)) % 2.52/2.76 (define @t931 () (= @t697 @t930)) % 2.52/2.76 (define @t932 () (and @t428 @t931)) % 2.52/2.76 (define @t933 () (or @t932 @t927)) % 2.52/2.76 (define @t934 () (lambda @t698 @t933)) % 2.52/2.76 (define @t935 () (tptp.c_Eps_i @t934)) % 2.52/2.76 (define @t936 () (lambda @t23 @t935)) % 2.52/2.76 (define @t937 () (tptp.c_Repl @t398 @t936)) % 2.52/2.76 (define @t938 () (tptp.c_Union @t937)) % 2.52/2.76 (define @t939 () (_ @t497 @t938)) % 2.52/2.76 (define @t940 () (tptp.c_In @t57 @t939)) % 2.52/2.76 (define @t941 () (and @t699 @t940)) % 2.52/2.76 (define @t942 () (lambda @t58 @t941)) % 2.52/2.76 (define @t943 () (tptp.c_Eps_i @t942)) % 2.52/2.76 (define @t944 () (= @t700 @t943)) % 2.52/2.76 (define @t945 () (lambda @t644 (or (and @t715 (= @t721 @t638)) (and @t716 (= @t714 @t638))))) % 2.52/2.76 (define @t946 () (lambda @t406 (_ tptp.c_Eps_i @t945))) % 2.52/2.76 (define @t947 () (_ @t156 @t946)) % 2.52/2.76 (define @t948 () (_ tptp.c_Union @t947)) % 2.52/2.76 (define @t949 () (lambda @t693 (forall @t211 (or (not (forall @t208 (or @t729 (_ @t197 @t948)))) @t917)))) % 2.52/2.76 (define @t950 () (_ tptp.c_Eps_i @t703)) % 2.52/2.76 (define @t951 () (lambda @t33 @t950)) % 2.52/2.76 (define @t952 () (tptp.c_Repl @t397 @t951)) % 2.52/2.76 (define @t953 () (= @t697 @t952)) % 2.52/2.76 (define @t954 () (and @t429 @t953)) % 2.52/2.76 (define @t955 () (tptp.c_Repl @t430 @t951)) % 2.52/2.76 (define @t956 () (lambda @t431 @t955)) % 2.52/2.76 (define @t957 () (tptp.c_Repl @t487 @t956)) % 2.52/2.76 (define @t958 () (= @t697 @t957)) % 2.52/2.76 (define @t959 () (and @t428 @t958)) % 2.52/2.76 (define @t960 () (or @t959 @t954)) % 2.52/2.76 (define @t961 () (lambda @t698 @t960)) % 2.52/2.76 (define @t962 () (tptp.c_Eps_i @t961)) % 2.52/2.76 (define @t963 () (lambda @t23 @t962)) % 2.52/2.76 (define @t964 () (tptp.c_Repl @t398 @t963)) % 2.52/2.76 (define @t965 () (tptp.c_Union @t964)) % 2.52/2.76 (define @t966 () (_ @t497 @t965)) % 2.52/2.76 (define @t967 () (tptp.c_In @t706 @t966)) % 2.52/2.76 (define @t968 () (not @t967)) % 2.52/2.76 (define @t969 () (and @t968 @t944)) % 2.52/2.76 (define @t970 () (and @t967 @t708)) % 2.52/2.76 (define @t971 () (or @t970 @t969)) % 2.52/2.76 (define @t972 () (lambda @t709 @t971)) % 2.52/2.76 (define @t973 () (tptp.c_Eps_i @t972)) % 2.52/2.76 (define @t974 () (lambda @t710 @t973)) % 2.52/2.76 (define @t975 () (tptp.c_Repl @t659 @t974)) % 2.52/2.76 (define @t976 () (= @t24 @t975)) % 2.52/2.76 (define @t977 () (and @t711 @t976)) % 2.52/2.76 (define @t978 () (or @t977 @t664)) % 2.52/2.76 (define @t979 () (lambda @t30 @t978)) % 2.52/2.76 (define @t980 () (tptp.c_Eps_i @t979)) % 2.52/2.76 (define @t981 () (_ @t497 @t980)) % 2.52/2.76 (define @t982 () (_ @t496 @t981)) % 2.52/2.76 (define @t983 () (and @t982 @t634 @t630)) % 2.52/2.76 (define @t984 () (or @t983 @t586)) % 2.52/2.76 (define @t985 () (lambda @t30 (or (and @t715 (= @t24 @t721)) (and @t716 (= @t24 @t714))))) % 2.52/2.76 (define @t986 () (lambda @t406 (_ tptp.c_Eps_i @t985))) % 2.52/2.76 (define @t987 () (_ @t156 @t986)) % 2.52/2.76 (define @t988 () (_ tptp.c_Union @t987)) % 2.52/2.76 (define @t989 () (not (forall @t208 (or @t729 (_ @t197 @t988))))) % 2.52/2.76 (define @t990 () (lambda @t473 (forall @t211 (or @t989 (_ @t192 @t455))))) % 2.52/2.76 (define @t991 () (_ tptp.c_Eps_i @t474)) % 2.52/2.76 (define @t992 () (lambda @t33 @t991)) % 2.52/2.76 (define @t993 () (tptp.c_Repl @t477 @t992)) % 2.52/2.76 (define @t994 () (= @t478 @t993)) % 2.52/2.76 (define @t995 () (and @t481 @t994)) % 2.52/2.76 (define @t996 () (tptp.c_Repl @t430 @t992)) % 2.52/2.76 (define @t997 () (lambda @t431 @t996)) % 2.52/2.76 (define @t998 () (tptp.c_Repl @t483 @t997)) % 2.52/2.76 (define @t999 () (= @t478 @t998)) % 2.52/2.76 (define @t1000 () (and @t480 @t999)) % 2.52/2.76 (define @t1001 () (or @t1000 @t995)) % 2.52/2.76 (define @t1002 () (lambda @t484 @t1001)) % 2.52/2.76 (define @t1003 () (tptp.c_Eps_i @t1002)) % 2.52/2.76 (define @t1004 () (lambda @t485 @t1003)) % 2.52/2.76 (define @t1005 () (tptp.c_Repl @t398 @t1004)) % 2.52/2.76 (define @t1006 () (tptp.c_Union @t1005)) % 2.52/2.76 (define @t1007 () (lambda @t486 @t1006)) % 2.52/2.76 (define @t1008 () (tptp.c_Repl @t487 @t992)) % 2.52/2.76 (define @t1009 () (= @t488 @t1008)) % 2.52/2.76 (define @t1010 () (and @t491 @t1009)) % 2.52/2.76 (define @t1011 () (tptp.c_Repl @t397 @t992)) % 2.52/2.76 (define @t1012 () (= @t437 @t1011)) % 2.52/2.76 (define @t1013 () (and @t440 @t1012)) % 2.52/2.76 (define @t1014 () (tptp.c_Repl @t398 @t997)) % 2.52/2.76 (define @t1015 () (= @t437 @t1014)) % 2.52/2.76 (define @t1016 () (and @t439 @t1015)) % 2.52/2.76 (define @t1017 () (or @t1016 @t1013)) % 2.52/2.76 (define @t1018 () (lambda @t441 @t1017)) % 2.52/2.76 (define @t1019 () (tptp.c_Eps_i @t1018)) % 2.52/2.76 (define @t1020 () (lambda @t442 @t1019)) % 2.52/2.76 (define @t1021 () (tptp.c_Repl @t398 @t1020)) % 2.52/2.76 (define @t1022 () (tptp.c_Union @t1021)) % 2.52/2.76 (define @t1023 () (tptp.c_Power @t1022)) % 2.52/2.76 (define @t1024 () (tptp.c_Repl @t1023 @t997)) % 2.52/2.76 (define @t1025 () (= @t488 @t1024)) % 2.52/2.76 (define @t1026 () (and @t490 @t1025)) % 2.52/2.76 (define @t1027 () (or @t1026 @t1010)) % 2.52/2.76 (define @t1028 () (lambda @t492 @t1027)) % 2.52/2.76 (define @t1029 () (tptp.c_Eps_i @t1028)) % 2.52/2.76 (define @t1030 () (lambda @t493 @t1029)) % 2.52/2.76 (define @t1031 () (tptp.c_Repl @t398 @t1030)) % 2.52/2.76 (define @t1032 () (tptp.c_Union @t1031)) % 2.52/2.76 (define @t1033 () (tptp.c_Repl @t1032 @t1007)) % 2.52/2.76 (define @t1034 () (lambda @t494 @t1033)) % 2.52/2.76 (define @t1035 () (tptp.c_Repl @t495 @t1034)) % 2.52/2.76 (define @t1036 () (tptp.c_Union @t1035)) % 2.52/2.76 (define @t1037 () (_ @t496 @t1036)) % 2.52/2.76 (define @t1038 () (or @t1037 @t454)) % 2.52/2.76 (define @t1039 () (and @t498 @t1038)) % 2.52/2.76 (define @t1040 () (or @t584 @t502 @t1039)) % 2.52/2.76 (define @t1041 () (@list @t19)) % 2.52/2.76 (define @t1042 () (tptp.c_Repl @t477 @t831)) % 2.52/2.76 (define @t1043 () (= @t478 @t1042)) % 2.52/2.76 (define @t1044 () (and @t481 @t1043)) % 2.52/2.76 (define @t1045 () (tptp.c_Repl @t483 @t834)) % 2.52/2.76 (define @t1046 () (= @t478 @t1045)) % 2.52/2.76 (define @t1047 () (and @t480 @t1046)) % 2.52/2.76 (define @t1048 () (or @t1047 @t1044)) % 2.52/2.76 (define @t1049 () (lambda @t484 @t1048)) % 2.52/2.76 (define @t1050 () (tptp.c_Eps_i @t1049)) % 2.52/2.76 (define @t1051 () (lambda @t485 @t1050)) % 2.52/2.76 (define @t1052 () (tptp.c_Repl @t398 @t1051)) % 2.52/2.76 (define @t1053 () (tptp.c_Union @t1052)) % 2.52/2.76 (define @t1054 () (lambda @t486 @t1053)) % 2.52/2.76 (define @t1055 () (tptp.c_Repl @t487 @t831)) % 2.52/2.76 (define @t1056 () (= @t488 @t1055)) % 2.52/2.76 (define @t1057 () (and @t491 @t1056)) % 2.52/2.76 (define @t1058 () (= @t488 @t847)) % 2.52/2.76 (define @t1059 () (and @t490 @t1058)) % 2.52/2.76 (define @t1060 () (or @t1059 @t1057)) % 2.52/2.76 (define @t1061 () (lambda @t492 @t1060)) % 2.52/2.76 (define @t1062 () (tptp.c_Eps_i @t1061)) % 2.52/2.76 (define @t1063 () (lambda @t493 @t1062)) % 2.52/2.76 (define @t1064 () (tptp.c_Repl @t398 @t1063)) % 2.52/2.76 (define @t1065 () (tptp.c_Union @t1064)) % 2.52/2.76 (define @t1066 () (tptp.c_Repl @t1065 @t1054)) % 2.52/2.76 (define @t1067 () (lambda @t494 @t1066)) % 2.52/2.76 (define @t1068 () (tptp.c_Repl @t495 @t1067)) % 2.52/2.76 (define @t1069 () (tptp.c_Union @t1068)) % 2.52/2.76 (define @t1070 () (_ @t496 @t1069)) % 2.52/2.76 (define @t1071 () (or @t1070 @t454)) % 2.52/2.76 (define @t1072 () (and @t498 @t1071)) % 2.52/2.76 (define @t1073 () (or @t584 @t502 @t1072)) % 2.52/2.76 (define @t1074 () (not false)) % 2.52/2.76 (define @t1075 () (tptp.c_Repl @t477 @t870)) % 2.52/2.76 (define @t1076 () (= @t478 @t1075)) % 2.52/2.76 (define @t1077 () (and (=> @t480 false) @t1076)) % 2.52/2.76 (define @t1078 () (tptp.c_Repl @t483 @t876)) % 2.52/2.76 (define @t1079 () (= @t478 @t1078)) % 2.52/2.76 (define @t1080 () (and @t480 @t1079)) % 2.52/2.76 (define @t1081 () (or @t1080 @t1077)) % 2.52/2.76 (define @t1082 () (lambda @t484 @t1081)) % 2.52/2.76 (define @t1083 () (tptp.c_Eps_i @t1082)) % 2.52/2.76 (define @t1084 () (lambda @t485 @t1083)) % 2.52/2.76 (define @t1085 () (tptp.c_Repl @t398 @t1084)) % 2.52/2.76 (define @t1086 () (tptp.c_Union @t1085)) % 2.52/2.76 (define @t1087 () (lambda @t486 @t1086)) % 2.52/2.76 (define @t1088 () (tptp.c_Repl @t487 @t870)) % 2.52/2.76 (define @t1089 () (= @t488 @t1088)) % 2.52/2.76 (define @t1090 () (and (=> @t490 false) @t1089)) % 2.52/2.76 (define @t1091 () (= @t488 @t892)) % 2.52/2.76 (define @t1092 () (and @t490 @t1091)) % 2.52/2.76 (define @t1093 () (or @t1092 @t1090)) % 2.52/2.76 (define @t1094 () (lambda @t492 @t1093)) % 2.52/2.76 (define @t1095 () (tptp.c_Eps_i @t1094)) % 2.52/2.76 (define @t1096 () (lambda @t493 @t1095)) % 2.52/2.76 (define @t1097 () (tptp.c_Repl @t398 @t1096)) % 2.52/2.76 (define @t1098 () (tptp.c_Union @t1097)) % 2.52/2.76 (define @t1099 () (tptp.c_Repl @t1098 @t1087)) % 2.52/2.76 (define @t1100 () (lambda @t494 @t1099)) % 2.52/2.76 (define @t1101 () (tptp.c_Repl @t495 @t1100)) % 2.52/2.76 (define @t1102 () (tptp.c_Union @t1101)) % 2.52/2.76 (define @t1103 () (_ @t496 @t1102)) % 2.52/2.76 (define @t1104 () (and @t1103 @t1074)) % 2.52/2.76 (define @t1105 () (or @t1104 @t454)) % 2.52/2.76 (define @t1106 () (and @t498 @t1105)) % 2.52/2.76 (define @t1107 () (=> @t508 false)) % 2.52/2.76 (define @t1108 () (and @t1107 @t506)) % 2.52/2.76 (define @t1109 () (or @t510 @t1108)) % 2.52/2.76 (define @t1110 () (lambda @t511 @t1109)) % 2.52/2.76 (define @t1111 () (tptp.c_Eps_i @t1110)) % 2.52/2.76 (define @t1112 () (lambda @t512 @t1111)) % 2.52/2.76 (define @t1113 () (tptp.c_Repl @t398 @t1112)) % 2.52/2.76 (define @t1114 () (= @t1113 @t514)) % 2.52/2.76 (define @t1115 () (and (=> @t516 false) @t1114)) % 2.52/2.76 (define @t1116 () (or @t518 @t1115)) % 2.52/2.76 (define @t1117 () (lambda @t519 @t1116)) % 2.52/2.76 (define @t1118 () (tptp.c_Eps_i @t1117)) % 2.52/2.76 (define @t1119 () (lambda @t520 @t1118)) % 2.52/2.76 (define @t1120 () (tptp.c_Repl @t398 @t1119)) % 2.52/2.76 (define @t1121 () (tptp.c_Union @t1120)) % 2.52/2.76 (define @t1122 () (= @t1121 @t522)) % 2.52/2.76 (define @t1123 () (and (=> @t525 false) @t1122)) % 2.52/2.76 (define @t1124 () (and @t525 @t1122)) % 2.52/2.76 (define @t1125 () (or @t1124 @t1123)) % 2.52/2.76 (define @t1126 () (lambda @t526 @t1125)) % 2.52/2.76 (define @t1127 () (tptp.c_Eps_i @t1126)) % 2.52/2.76 (define @t1128 () (lambda @t527 @t1127)) % 2.52/2.76 (define @t1129 () (tptp.c_Repl @t398 @t1128)) % 2.52/2.76 (define @t1130 () (= @t528 @t1129)) % 2.52/2.76 (define @t1131 () (=> @t531 false)) % 2.52/2.76 (define @t1132 () (and @t1131 @t1130)) % 2.52/2.76 (define @t1133 () (and @t531 @t1130)) % 2.52/2.76 (define @t1134 () (or @t1133 @t1132)) % 2.52/2.76 (define @t1135 () (lambda @t533 @t1134)) % 2.52/2.76 (define @t1136 () (tptp.c_Eps_i @t1135)) % 2.52/2.76 (define @t1137 () (lambda @t534 @t1136)) % 2.52/2.76 (define @t1138 () (tptp.c_Repl @t398 @t1137)) % 2.52/2.76 (define @t1139 () (= @t535 @t1138)) % 2.52/2.76 (define @t1140 () (and (=> @t537 false) @t1139)) % 2.52/2.76 (define @t1141 () (or @t538 @t1140)) % 2.52/2.76 (define @t1142 () (lambda @t539 @t1141)) % 2.52/2.76 (define @t1143 () (tptp.c_Eps_i @t1142)) % 2.52/2.76 (define @t1144 () (lambda @t540 @t1143)) % 2.52/2.76 (define @t1145 () (tptp.c_Repl @t398 @t1144)) % 2.52/2.76 (define @t1146 () (tptp.c_Union @t1145)) % 2.52/2.76 (define @t1147 () (tptp.c_In @t1146 @t19)) % 2.52/2.76 (define @t1148 () (not @t1147)) % 2.52/2.76 (define @t1149 () (or @t1148 false)) % 2.52/2.76 (define @t1150 () (and @t1149 @t504)) % 2.52/2.76 (define @t1151 () (or @t542 false)) % 2.52/2.76 (define @t1152 () (and @t1147 @t1151)) % 2.52/2.76 (define @t1153 () (or @t543 @t1152 @t1150)) % 2.52/2.76 (define @t1154 () (forall @t544 @t1153)) % 2.52/2.76 (define @t1155 () (not @t1154)) % 2.52/2.76 (define @t1156 () (= @t545 @t1121)) % 2.52/2.76 (define @t1157 () (and (=> @t548 false) @t1156)) % 2.52/2.76 (define @t1158 () (and @t548 @t1156)) % 2.52/2.76 (define @t1159 () (or @t1158 @t1157)) % 2.52/2.76 (define @t1160 () (lambda @t549 @t1159)) % 2.52/2.76 (define @t1161 () (tptp.c_Eps_i @t1160)) % 2.52/2.76 (define @t1162 () (lambda @t550 @t1161)) % 2.52/2.76 (define @t1163 () (tptp.c_Repl @t398 @t1162)) % 2.52/2.76 (define @t1164 () (= @t528 @t1163)) % 2.52/2.76 (define @t1165 () (and @t1131 @t1164)) % 2.52/2.76 (define @t1166 () (and @t531 @t1164)) % 2.52/2.76 (define @t1167 () (or @t1166 @t1165)) % 2.52/2.76 (define @t1168 () (lambda @t533 @t1167)) % 2.52/2.76 (define @t1169 () (tptp.c_Eps_i @t1168)) % 2.52/2.76 (define @t1170 () (lambda @t534 @t1169)) % 2.52/2.76 (define @t1171 () (tptp.c_Repl @t398 @t1170)) % 2.52/2.76 (define @t1172 () (= @t552 @t1171)) % 2.52/2.76 (define @t1173 () (and (=> @t554 false) @t1172)) % 2.52/2.76 (define @t1174 () (or @t556 @t1173)) % 2.52/2.76 (define @t1175 () (lambda @t557 @t1174)) % 2.52/2.76 (define @t1176 () (tptp.c_Eps_i @t1175)) % 2.52/2.76 (define @t1177 () (lambda @t558 @t1176)) % 2.52/2.76 (define @t1178 () (tptp.c_Repl @t398 @t1177)) % 2.52/2.76 (define @t1179 () (tptp.c_Union @t1178)) % 2.52/2.76 (define @t1180 () (lambda @t559 @t1179)) % 2.52/2.76 (define @t1181 () (tptp.c_Repl @t2 @t1180)) % 2.52/2.76 (define @t1182 () (= @t24 @t1181)) % 2.52/2.76 (define @t1183 () (and (=> @t561 false) @t1182)) % 2.52/2.76 (define @t1184 () (or @t563 @t1183)) % 2.52/2.76 (define @t1185 () (lambda @t30 @t1184)) % 2.52/2.76 (define @t1186 () (tptp.c_Eps_i @t1185)) % 2.52/2.76 (define @t1187 () (lambda @t564 @t1186)) % 2.52/2.76 (define @t1188 () (tptp.c_Repl @t398 @t1187)) % 2.52/2.76 (define @t1189 () (tptp.c_Union @t1188)) % 2.52/2.76 (define @t1190 () (tptp.c_In @t565 @t1189)) % 2.52/2.76 (define @t1191 () (or @t566 @t1190)) % 2.52/2.76 (define @t1192 () (forall @t567 @t1191)) % 2.52/2.76 (define @t1193 () (not @t1192)) % 2.52/2.76 (define @t1194 () (or @t583 @t576 @t1193 @t1155)) % 2.52/2.76 (define @t1195 () (forall @t33 @t1194)) % 2.52/2.76 (define @t1196 () (not @t1195)) % 2.52/2.76 (define @t1197 () (and @t1196 @t1074)) % 2.52/2.76 (define @t1198 () (or @t1197 @t502 @t1106)) % 2.52/2.76 (define @t1199 () (forall @t585 @t1198)) % 2.52/2.76 (define @t1200 () (not @t1199)) % 2.52/2.76 (define @t1201 () (or @t602 @t589)) % 2.52/2.76 (define @t1202 () (and @t1107 @t591)) % 2.52/2.76 (define @t1203 () (or @t592 @t1202)) % 2.52/2.76 (define @t1204 () (lambda @t511 @t1203)) % 2.52/2.76 (define @t1205 () (tptp.c_Eps_i @t1204)) % 2.52/2.76 (define @t1206 () (lambda @t512 @t1205)) % 2.52/2.76 (define @t1207 () (tptp.c_Repl @t398 @t1206)) % 2.52/2.76 (define @t1208 () (= @t593 @t1207)) % 2.52/2.76 (define @t1209 () (and (=> @t596 false) @t1208)) % 2.52/2.76 (define @t1210 () (or @t598 @t1209)) % 2.52/2.76 (define @t1211 () (lambda @t599 @t1210)) % 2.52/2.76 (define @t1212 () (tptp.c_Eps_i @t1211)) % 2.52/2.76 (define @t1213 () (lambda @t600 @t1212)) % 2.52/2.76 (define @t1214 () (tptp.c_Repl @t398 @t1213)) % 2.52/2.76 (define @t1215 () (tptp.c_Union @t1214)) % 2.52/2.76 (define @t1216 () (tptp.c_In @t588 @t1215)) % 2.52/2.76 (define @t1217 () (not @t1216)) % 2.52/2.76 (define @t1218 () (or @t1217 @t589)) % 2.52/2.76 (define @t1219 () (and @t1218 @t1074)) % 2.52/2.76 (define @t1220 () (tptp.c_In @t587 @t1215)) % 2.52/2.76 (define @t1221 () (not @t1220)) % 2.52/2.76 (define @t1222 () (or @t607 @t606)) % 2.52/2.76 (define @t1223 () (or @t610 @t609)) % 2.52/2.76 (define @t1224 () (and @t1222 @t1074)) % 2.52/2.76 (define @t1225 () (tptp.c_In @t608 @t1215)) % 2.52/2.76 (define @t1226 () (not @t1225)) % 2.52/2.76 (define @t1227 () (or @t1226 @t609)) % 2.52/2.76 (define @t1228 () (and @t1227 @t1074)) % 2.52/2.76 (define @t1229 () (and (=> @t613 false) @t1208)) % 2.52/2.76 (define @t1230 () (or @t614 @t1229)) % 2.52/2.76 (define @t1231 () (lambda @t599 @t1230)) % 2.52/2.76 (define @t1232 () (tptp.c_Eps_i @t1231)) % 2.52/2.76 (define @t1233 () (lambda @t615 @t1232)) % 2.52/2.76 (define @t1234 () (tptp.c_Repl @t398 @t1233)) % 2.52/2.76 (define @t1235 () (tptp.c_Union @t1234)) % 2.52/2.76 (define @t1236 () (tptp.c_In @t616 @t1235)) % 2.52/2.76 (define @t1237 () (or @t617 @t1236)) % 2.52/2.76 (define @t1238 () (forall @t618 @t1237)) % 2.52/2.76 (define @t1239 () (not @t1238)) % 2.52/2.76 (define @t1240 () (or @t1239 @t1228 @t611 @t1224)) % 2.52/2.76 (define @t1241 () (forall @t621 @t1240)) % 2.52/2.76 (define @t1242 () (not @t1241)) % 2.52/2.76 (define @t1243 () (and @t1242 @t1074)) % 2.52/2.76 (define @t1244 () (or @t625 @t1243 @t1221 @t1219)) % 2.52/2.76 (define @t1245 () (forall @t627 @t1244)) % 2.52/2.76 (define @t1246 () (not @t1245)) % 2.52/2.76 (define @t1247 () (or @t629 @t1246)) % 2.52/2.76 (define @t1248 () (forall @t23 @t1247)) % 2.52/2.76 (define @t1249 () (not @t1248)) % 2.52/2.76 (define @t1250 () (and @t382 (= @t638 @t378))) % 2.52/2.76 (define @t1251 () (and @t381 (= @t638 @t399))) % 2.52/2.76 (define @t1252 () (or @t1251 @t1250)) % 2.52/2.76 (define @t1253 () (lambda @t644 @t1252)) % 2.52/2.76 (define @t1254 () (tptp.c_Eps_i @t1253)) % 2.52/2.76 (define @t1255 () (lambda @t406 @t1254)) % 2.52/2.76 (define @t1256 () (tptp.c_Repl @t398 @t1255)) % 2.52/2.76 (define @t1257 () (tptp.c_Union @t1256)) % 2.52/2.76 (define @t1258 () (_ @t191 @t57 @t1257)) % 2.52/2.76 (define @t1259 () (or @t417 @t1258)) % 2.52/2.76 (define @t1260 () (forall @t208 @t1259)) % 2.52/2.76 (define @t1261 () (not @t1260)) % 2.52/2.76 (define @t1262 () (or @t1261 @t637)) % 2.52/2.76 (define @t1263 () (forall @t211 @t1262)) % 2.52/2.76 (define @t1264 () (lambda @t654 @t1263)) % 2.52/2.76 (define @t1265 () (tptp.c_Eps_i @t1264)) % 2.52/2.76 (define @t1266 () (lambda @t33 @t1265)) % 2.52/2.76 (define @t1267 () (tptp.c_Repl @t397 @t1266)) % 2.52/2.76 (define @t1268 () (= @t656 @t1267)) % 2.52/2.76 (define @t1269 () (and @t429 @t1268)) % 2.52/2.76 (define @t1270 () (tptp.c_Repl @t430 @t1266)) % 2.52/2.76 (define @t1271 () (lambda @t431 @t1270)) % 2.52/2.76 (define @t1272 () (tptp.c_Repl @t487 @t1271)) % 2.52/2.76 (define @t1273 () (= @t656 @t1272)) % 2.52/2.76 (define @t1274 () (and @t428 @t1273)) % 2.52/2.76 (define @t1275 () (or @t1274 @t1269)) % 2.52/2.76 (define @t1276 () (lambda @t657 @t1275)) % 2.52/2.76 (define @t1277 () (tptp.c_Eps_i @t1276)) % 2.52/2.76 (define @t1278 () (lambda @t23 @t1277)) % 2.52/2.76 (define @t1279 () (tptp.c_Repl @t398 @t1278)) % 2.52/2.76 (define @t1280 () (tptp.c_Union @t1279)) % 2.52/2.76 (define @t1281 () (_ @t497 @t1280)) % 2.52/2.76 (define @t1282 () (tptp.c_In @t658 @t1281)) % 2.52/2.76 (define @t1283 () (not @t1282)) % 2.52/2.76 (define @t1284 () (or @t661 @t1283)) % 2.52/2.76 (define @t1285 () (forall @t662 @t1284)) % 2.52/2.76 (define @t1286 () (and @t1285 @t635)) % 2.52/2.76 (define @t1287 () (and @t382 (= @t667 @t669))) % 2.52/2.76 (define @t1288 () (and @t381 (= @t667 @t399))) % 2.52/2.76 (define @t1289 () (or @t1288 @t1287)) % 2.52/2.76 (define @t1290 () (lambda @t675 @t1289)) % 2.52/2.76 (define @t1291 () (tptp.c_Eps_i @t1290)) % 2.52/2.76 (define @t1292 () (lambda @t406 @t1291)) % 2.52/2.76 (define @t1293 () (tptp.c_Repl @t398 @t1292)) % 2.52/2.76 (define @t1294 () (tptp.c_Union @t1293)) % 2.52/2.76 (define @t1295 () (_ @t191 @t668 @t1294)) % 2.52/2.76 (define @t1296 () (or @t686 @t1295)) % 2.52/2.76 (define @t1297 () (forall @t688 @t1296)) % 2.52/2.76 (define @t1298 () (not @t1297)) % 2.52/2.76 (define @t1299 () (or @t1298 @t666)) % 2.52/2.76 (define @t1300 () (forall @t211 @t1299)) % 2.52/2.76 (define @t1301 () (lambda @t693 @t1300)) % 2.52/2.76 (define @t1302 () (lambda @t33 (_ tptp.c_Eps_i @t1301))) % 2.52/2.76 (define @t1303 () (tptp.c_Repl @t397 @t1302)) % 2.52/2.76 (define @t1304 () (= @t697 @t1303)) % 2.52/2.76 (define @t1305 () (and @t429 @t1304)) % 2.52/2.76 (define @t1306 () (tptp.c_Repl @t430 @t1302)) % 2.52/2.76 (define @t1307 () (lambda @t431 @t1306)) % 2.52/2.76 (define @t1308 () (tptp.c_Repl @t487 @t1307)) % 2.52/2.76 (define @t1309 () (= @t697 @t1308)) % 2.52/2.76 (define @t1310 () (and @t428 @t1309)) % 2.52/2.76 (define @t1311 () (or @t1310 @t1305)) % 2.52/2.76 (define @t1312 () (lambda @t698 @t1311)) % 2.52/2.76 (define @t1313 () (tptp.c_Eps_i @t1312)) % 2.52/2.76 (define @t1314 () (lambda @t23 @t1313)) % 2.52/2.76 (define @t1315 () (tptp.c_Repl @t398 @t1314)) % 2.52/2.76 (define @t1316 () (tptp.c_Union @t1315)) % 2.52/2.76 (define @t1317 () (_ @t497 @t1316)) % 2.52/2.76 (define @t1318 () (tptp.c_In @t57 @t1317)) % 2.52/2.76 (define @t1319 () (and @t699 @t1318)) % 2.52/2.76 (define @t1320 () (lambda @t58 @t1319)) % 2.52/2.76 (define @t1321 () (tptp.c_Eps_i @t1320)) % 2.52/2.76 (define @t1322 () (= @t700 @t1321)) % 2.52/2.76 (define @t1323 () (or @t1261 @t666)) % 2.52/2.76 (define @t1324 () (forall @t211 @t1323)) % 2.52/2.76 (define @t1325 () (lambda @t693 @t1324)) % 2.52/2.76 (define @t1326 () (lambda @t33 (_ tptp.c_Eps_i @t1325))) % 2.52/2.76 (define @t1327 () (tptp.c_Repl @t397 @t1326)) % 2.52/2.76 (define @t1328 () (= @t697 @t1327)) % 2.52/2.76 (define @t1329 () (and @t429 @t1328)) % 2.52/2.76 (define @t1330 () (tptp.c_Repl @t430 @t1326)) % 2.52/2.76 (define @t1331 () (lambda @t431 @t1330)) % 2.52/2.76 (define @t1332 () (tptp.c_Repl @t487 @t1331)) % 2.52/2.76 (define @t1333 () (= @t697 @t1332)) % 2.52/2.76 (define @t1334 () (and @t428 @t1333)) % 2.52/2.76 (define @t1335 () (or @t1334 @t1329)) % 2.52/2.76 (define @t1336 () (lambda @t698 @t1335)) % 2.52/2.76 (define @t1337 () (tptp.c_Eps_i @t1336)) % 2.52/2.76 (define @t1338 () (lambda @t23 @t1337)) % 2.52/2.76 (define @t1339 () (tptp.c_Repl @t398 @t1338)) % 2.52/2.76 (define @t1340 () (tptp.c_Union @t1339)) % 2.52/2.76 (define @t1341 () (_ @t497 @t1340)) % 2.52/2.76 (define @t1342 () (tptp.c_In @t706 @t1341)) % 2.52/2.76 (define @t1343 () (not @t1342)) % 2.52/2.76 (define @t1344 () (and @t1343 @t1322)) % 2.52/2.76 (define @t1345 () (and @t1342 @t708)) % 2.52/2.76 (define @t1346 () (or @t1345 @t1344)) % 2.52/2.76 (define @t1347 () (lambda @t709 @t1346)) % 2.52/2.76 (define @t1348 () (tptp.c_Eps_i @t1347)) % 2.52/2.76 (define @t1349 () (lambda @t710 @t1348)) % 2.52/2.76 (define @t1350 () (tptp.c_Repl @t659 @t1349)) % 2.52/2.76 (define @t1351 () (= @t24 @t1350)) % 2.52/2.76 (define @t1352 () (not @t1285)) % 2.52/2.76 (define @t1353 () (and @t1352 @t1351)) % 2.52/2.76 (define @t1354 () (or @t1353 @t1286)) % 2.52/2.76 (define @t1355 () (lambda @t30 @t1354)) % 2.52/2.76 (define @t1356 () (or @t470 @t637)) % 2.52/2.76 (define @t1357 () (forall @t211 @t1356)) % 2.52/2.76 (define @t1358 () (lambda @t654 @t1357)) % 2.52/2.76 (define @t1359 () (tptp.c_Eps_i @t1358)) % 2.52/2.76 (define @t1360 () (lambda @t33 @t1359)) % 2.52/2.76 (define @t1361 () (forall @t662 (or @t661 (not (tptp.c_In @t658 (_ @t497 (tptp.c_Union (tptp.c_Repl @t398 (lambda @t23 (tptp.c_Eps_i (lambda @t657 (or (and @t428 (= @t656 (tptp.c_Repl @t487 (lambda @t431 (tptp.c_Repl @t430 @t1360))))) (and @t429 (= @t656 (tptp.c_Repl @t397 @t1360))))))))))))))) % 2.52/2.76 (define @t1362 () (lambda @t33 (_ tptp.c_Eps_i (lambda @t693 (forall @t211 (or (not (forall @t688 (or @t686 (_ @t191 @t668 (tptp.c_Union (tptp.c_Repl @t398 (lambda @t406 (tptp.c_Eps_i (lambda @t30 (or @t460 (and @t382 (= @t24 @t669)))))))))))) @t666)))))) % 2.52/2.76 (define @t1363 () (lambda @t58 (and @t699 (tptp.c_In @t57 (_ @t497 (tptp.c_Union (tptp.c_Repl @t398 (lambda @t23 (tptp.c_Eps_i (lambda @t698 (or (and @t428 (= @t697 (tptp.c_Repl @t487 (lambda @t431 (tptp.c_Repl @t430 @t1362))))) (and @t429 (= @t697 (tptp.c_Repl @t397 @t1362)))))))))))))) % 2.52/2.76 (define @t1364 () (lambda @t33 (_ tptp.c_Eps_i (lambda @t693 (forall @t211 (or @t470 @t666)))))) % 2.52/2.76 (define @t1365 () (lambda @t23 (tptp.c_Eps_i (lambda @t698 (or (and @t428 (= @t697 (tptp.c_Repl @t487 (lambda @t431 (tptp.c_Repl @t430 @t1364))))) (and @t429 (= @t697 (tptp.c_Repl @t397 @t1364)))))))) % 2.52/2.76 (define @t1366 () (_ @t497 (tptp.c_Union (tptp.c_Repl @t398 @t1365)))) % 2.52/2.76 (define @t1367 () (tptp.c_In @t706 @t1366)) % 2.52/2.76 (define @t1368 () (lambda @t654 (forall @t211 (or @t989 (_ @t192 @t636))))) % 2.52/2.76 (define @t1369 () (_ tptp.c_Eps_i @t1358)) % 2.52/2.76 (define @t1370 () (lambda @t33 @t1369)) % 2.52/2.76 (define @t1371 () (tptp.c_Repl @t397 @t1370)) % 2.52/2.76 (define @t1372 () (= @t656 @t1371)) % 2.52/2.76 (define @t1373 () (and @t429 @t1372)) % 2.52/2.76 (define @t1374 () (tptp.c_Repl @t430 @t1370)) % 2.52/2.76 (define @t1375 () (lambda @t431 @t1374)) % 2.52/2.76 (define @t1376 () (tptp.c_Repl @t487 @t1375)) % 2.52/2.76 (define @t1377 () (= @t656 @t1376)) % 2.52/2.76 (define @t1378 () (and @t428 @t1377)) % 2.52/2.76 (define @t1379 () (or @t1378 @t1373)) % 2.52/2.76 (define @t1380 () (lambda @t657 @t1379)) % 2.52/2.76 (define @t1381 () (tptp.c_Eps_i @t1380)) % 2.52/2.76 (define @t1382 () (lambda @t23 @t1381)) % 2.52/2.76 (define @t1383 () (tptp.c_Repl @t398 @t1382)) % 2.52/2.76 (define @t1384 () (tptp.c_Union @t1383)) % 2.52/2.76 (define @t1385 () (_ @t497 @t1384)) % 2.52/2.76 (define @t1386 () (tptp.c_In @t658 @t1385)) % 2.52/2.76 (define @t1387 () (not @t1386)) % 2.52/2.76 (define @t1388 () (or @t661 @t1387)) % 2.52/2.76 (define @t1389 () (tptp.c_Repl @t487 @t834)) % 2.52/2.76 (define @t1390 () (= @t871 @t656)) % 2.52/2.76 (define @t1391 () (and @t873 @t1390)) % 2.52/2.76 (define @t1392 () (tptp.c_Repl @t487 @t876)) % 2.52/2.76 (define @t1393 () (= @t1392 @t656)) % 2.52/2.76 (define @t1394 () (and @t428 @t1393)) % 2.52/2.76 (define @t1395 () (or @t1394 @t1391)) % 2.52/2.76 (define @t1396 () (lambda @t657 @t1395)) % 2.52/2.76 (define @t1397 () (tptp.c_Eps_i @t1396)) % 2.52/2.76 (define @t1398 () (lambda @t23 @t1397)) % 2.52/2.76 (define @t1399 () (tptp.c_Repl @t398 @t1398)) % 2.52/2.76 (define @t1400 () (tptp.c_Union @t1399)) % 2.52/2.76 (define @t1401 () (_ @t497 @t1400)) % 2.52/2.76 (define @t1402 () (tptp.c_In @t658 @t1401)) % 2.52/2.76 (define @t1403 () (not @t1402)) % 2.52/2.76 (define @t1404 () (or @t661 @t1403)) % 2.52/2.76 (define @t1405 () (forall @t662 @t1404)) % 2.52/2.76 (define @t1406 () (not @t1405)) % 2.52/2.76 (define @t1407 () (and (=> @t1406 false) @t635)) % 2.52/2.76 (define @t1408 () (= @t871 @t697)) % 2.52/2.76 (define @t1409 () (and @t873 @t1408)) % 2.52/2.76 (define @t1410 () (= @t1392 @t697)) % 2.52/2.76 (define @t1411 () (and @t428 @t1410)) % 2.52/2.76 (define @t1412 () (or @t1411 @t1409)) % 2.52/2.76 (define @t1413 () (lambda @t698 @t1412)) % 2.52/2.76 (define @t1414 () (tptp.c_Eps_i @t1413)) % 2.52/2.76 (define @t1415 () (lambda @t23 @t1414)) % 2.52/2.76 (define @t1416 () (tptp.c_Repl @t398 @t1415)) % 2.52/2.76 (define @t1417 () (tptp.c_Union @t1416)) % 2.52/2.76 (define @t1418 () (_ @t497 @t1417)) % 2.52/2.76 (define @t1419 () (tptp.c_In @t57 @t1418)) % 2.52/2.76 (define @t1420 () (and @t699 @t1419)) % 2.52/2.76 (define @t1421 () (lambda @t58 @t1420)) % 2.52/2.76 (define @t1422 () (tptp.c_Eps_i @t1421)) % 2.52/2.76 (define @t1423 () (= @t700 @t1422)) % 2.52/2.76 (define @t1424 () (tptp.c_In @t706 @t1418)) % 2.52/2.76 (define @t1425 () (and (=> @t1424 false) @t1423)) % 2.52/2.76 (define @t1426 () (and @t1424 @t708)) % 2.52/2.76 (define @t1427 () (or @t1426 @t1425)) % 2.52/2.76 (define @t1428 () (lambda @t709 @t1427)) % 2.52/2.76 (define @t1429 () (tptp.c_Eps_i @t1428)) % 2.52/2.76 (define @t1430 () (lambda @t710 @t1429)) % 2.52/2.76 (define @t1431 () (tptp.c_Repl @t659 @t1430)) % 2.52/2.76 (define @t1432 () (= @t24 @t1431)) % 2.52/2.76 (define @t1433 () (and @t1406 @t1432)) % 2.52/2.76 (define @t1434 () (or @t1433 @t1407)) % 2.52/2.76 (define @t1435 () (lambda @t30 @t1434)) % 2.52/2.76 (define @t1436 () (tptp.c_Eps_i @t1435)) % 2.52/2.76 (define @t1437 () (_ @t497 @t1436)) % 2.52/2.76 (define @t1438 () (_ @t496 @t1437)) % 2.52/2.76 (define @t1439 () (and @t1438 @t634 @t1249)) % 2.52/2.76 (define @t1440 () (or @t1439 @t1200)) % 2.52/2.76 (define @t1441 () (forall @t712 @t1440)) % 2.52/2.76 (define @t1442 () (and @t1441 @t916)) % 2.52/2.76 (define @t1443 () (not tptp.c_False)) % 2.52/2.76 (define @t1444 () (or @t1074 tptp.c_False)) % 2.52/2.76 (define @t1445 () (and @t1444 @t1443)) % 2.52/2.76 (define @t1446 () (or @t1445 false)) % 2.52/2.76 (define @t1447 () (not @t4)) % 2.52/2.76 (define @t1448 () (and (or @t1447 tptp.c_False) @t1443)) % 2.52/2.76 (define @t1449 () (or @t4 @t1448 @t4)) % 2.52/2.76 (define @t1450 () (or @t1448 @t4)) % 2.52/2.76 (define @t1451 () (=> @t78 tptp.c_False)) % 2.52/2.76 (define @t1452 () (_ @t79 @t4)) % 2.52/2.76 (define @t1453 () (=> (_ @t79 @t1452) @t4)) % 2.52/2.76 (define @t1454 () (=> @t381 tptp.c_False)) % 2.52/2.76 (define @t1455 () (and @t1454 @t457)) % 2.52/2.76 (define @t1456 () (=> @t387 tptp.c_False)) % 2.52/2.76 (define @t1457 () (and @t1456 @t385)) % 2.52/2.76 (define @t1458 () (or @t390 @t1457)) % 2.52/2.76 (define @t1459 () (lambda @t392 @t1458)) % 2.52/2.76 (define @t1460 () (tptp.c_Eps_i @t1459)) % 2.52/2.76 (define @t1461 () (lambda @t395 @t1460)) % 2.52/2.76 (define @t1462 () (tptp.c_Repl @t398 @t1461)) % 2.52/2.76 (define @t1463 () (= @t24 @t1462)) % 2.52/2.76 (define @t1464 () (and @t381 @t1463)) % 2.52/2.76 (define @t1465 () (or @t1464 @t1455)) % 2.52/2.76 (define @t1466 () (lambda @t30 @t1465)) % 2.52/2.76 (define @t1467 () (tptp.c_Eps_i @t1466)) % 2.52/2.76 (define @t1468 () (lambda @t406 @t1467)) % 2.52/2.76 (define @t1469 () (tptp.c_Repl @t398 @t1468)) % 2.52/2.76 (define @t1470 () (tptp.c_Union @t1469)) % 2.52/2.76 (define @t1471 () (_ @t191 @t57 @t1470)) % 2.52/2.76 (define @t1472 () (or @t417 @t1471)) % 2.52/2.76 (define @t1473 () (forall @t208 @t1472)) % 2.52/2.76 (define @t1474 () (not @t1473)) % 2.52/2.76 (define @t1475 () (or @t1474 @t776)) % 2.52/2.76 (define @t1476 () (forall @t211 @t1475)) % 2.52/2.76 (define @t1477 () (lambda @t23 @t1476)) % 2.52/2.76 (define @t1478 () (=> @t428 tptp.c_False)) % 2.52/2.76 (define @t1479 () (and @t428 @t1463)) % 2.52/2.76 (define @t1480 () (@var "BOUND_VARIABLE_24846" $$unsorted)) % 2.52/2.76 (define @t1481 () (_ @t194 @t1480)) % 2.52/2.76 (define @t1482 () (@list @t1480)) % 2.52/2.76 (define @t1483 () (lambda @t1482 @t1481)) % 2.52/2.76 (define @t1484 () (tptp.c_Repl @t57 @t1483)) % 2.52/2.76 (define @t1485 () (= @t24 @t1484)) % 2.52/2.76 (define @t1486 () (and @t1478 @t1485)) % 2.52/2.76 (define @t1487 () (or @t1479 @t1486)) % 2.52/2.76 (define @t1488 () (lambda @t30 @t1487)) % 2.52/2.76 (define @t1489 () (tptp.c_Eps_i @t1488)) % 2.52/2.76 (define @t1490 () (lambda @t23 @t1489)) % 2.52/2.76 (define @t1491 () (tptp.c_Repl @t398 @t1490)) % 2.52/2.76 (define @t1492 () (tptp.c_Union @t1491)) % 2.52/2.76 (define @t1493 () (_ @t191 @t57 @t1492)) % 2.52/2.76 (define @t1494 () (or @t417 @t1493)) % 2.52/2.76 (define @t1495 () (_ @t194 @t1480)) % 2.52/2.76 (define @t1496 () (lambda @t1482 @t1495)) % 2.52/2.76 (define @t1497 () (_ @t713 @t1496)) % 2.52/2.76 (define @t1498 () (= @t24 @t1497)) % 2.52/2.76 (define @t1499 () (=> @t154 tptp.c_False)) % 2.52/2.76 (define @t1500 () (and @t1499 @t1498)) % 2.52/2.76 (define @t1501 () (=> @t717 tptp.c_False)) % 2.52/2.76 (define @t1502 () (and @t1501 @t385)) % 2.52/2.76 (define @t1503 () (or @t718 @t1502)) % 2.52/2.76 (define @t1504 () (lambda @t392 @t1503)) % 2.52/2.76 (define @t1505 () (_ tptp.c_Eps_i @t1504)) % 2.52/2.76 (define @t1506 () (lambda @t395 @t1505)) % 2.52/2.76 (define @t1507 () (_ @t156 @t1506)) % 2.52/2.76 (define @t1508 () (= @t24 @t1507)) % 2.52/2.76 (define @t1509 () (and @t154 @t1508)) % 2.52/2.76 (define @t1510 () (or @t1509 @t1500)) % 2.52/2.76 (define @t1511 () (lambda @t30 @t1510)) % 2.52/2.76 (define @t1512 () (_ tptp.c_Eps_i @t1511)) % 2.52/2.76 (define @t1513 () (lambda @t23 @t1512)) % 2.52/2.76 (define @t1514 () (_ @t156 @t1513)) % 2.52/2.76 (define @t1515 () (_ tptp.c_Union @t1514)) % 2.52/2.76 (define @t1516 () (_ tptp.c_Repl @t398)) % 2.52/2.76 (define @t1517 () (_ @t191 @t57 @t1515)) % 2.52/2.76 (define @t1518 () (or @t417 @t1517)) % 2.52/2.76 (define @t1519 () (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t1509 (and @t1499 (= @t24 (_ @t32 (lambda @t1482 (_ @t25 @t1480)))))))))) % 2.52/2.76 (define @t1520 () (lambda @t48 (_ tptp.c_Union (_ @t156 @t1519)))) % 2.52/2.76 (define @t1521 () (_ @t1520 @t57 @t194)) % 2.52/2.76 (define @t1522 () (_ @t191 @t57 @t1521)) % 2.52/2.76 (define @t1523 () (or @t417 @t1522)) % 2.52/2.76 (define @t1524 () (forall @t208 @t1523)) % 2.52/2.76 (define @t1525 () (not @t1524)) % 2.52/2.76 (define @t1526 () (or @t1525 @t776)) % 2.52/2.76 (define @t1527 () (forall @t211 @t1526)) % 2.52/2.76 (define @t1528 () (lambda @t23 @t1527)) % 2.52/2.76 (define @t1529 () (lambda @t33 (_ tptp.c_Eps_i @t1528))) % 2.52/2.76 (define @t1530 () (_ @t195 @t57 @t194)) % 2.52/2.76 (define @t1531 () (_ @t191 @t57 @t1530)) % 2.52/2.76 (define @t1532 () (forall @t208 (or @t417 @t1531))) % 2.52/2.76 (define @t1533 () (not @t1532)) % 2.52/2.76 (define @t1534 () (forall @t211 (or @t1533 @t776))) % 2.52/2.76 (define @t1535 () (lambda @t23 @t1534)) % 2.52/2.76 (define @t1536 () (lambda @t216 (_ tptp.c_Eps_i @t1535))) % 2.52/2.76 (define @t1537 () (and @t1499 (= @t50 @t24))) % 2.52/2.76 (define @t1538 () (or @t1509 @t1537)) % 2.52/2.76 (define @t1539 () (lambda @t30 @t1538)) % 2.52/2.76 (define @t1540 () (lambda @t23 (_ tptp.c_Eps_i @t1539))) % 2.52/2.76 (define @t1541 () (and @t1499 @t562)) % 2.52/2.76 (define @t1542 () (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t1509 @t1541))))) % 2.52/2.76 (define @t1543 () (lambda @t30 (or (and @t154 (= @t24 (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t392 (or (and @t154 @t385) (and @t1499 @t385)))))))) @t1541))) % 2.52/2.76 (define @t1544 () (and @t154 @t635)) % 2.52/2.76 (define @t1545 () (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t1544 (and @t1499 @t635))))))) % 2.52/2.76 (define @t1546 () (and @t154 (= @t1545 @t24))) % 2.52/2.76 (define @t1547 () (or @t1546 @t1541)) % 2.52/2.76 (define @t1548 () (lambda @t30 @t1547)) % 2.52/2.76 (define @t1549 () (lambda @t23 (_ tptp.c_Eps_i @t1548))) % 2.52/2.76 (define @t1550 () (lambda @t33 (_ tptp.c_Union (_ @t156 @t1549)))) % 2.52/2.76 (define @t1551 () (= @t11 @t24)) % 2.52/2.76 (define @t1552 () (and @t154 @t1551)) % 2.52/2.76 (define @t1553 () (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t1552 @t1541)))))) % 2.52/2.76 (define @t1554 () (_ tptp.c_Union @t1553)) % 2.52/2.76 (define @t1555 () (lambda @t16 @t1554)) % 2.52/2.76 (define @t1556 () (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t1552 (and @t1499 @t1551))))))) % 2.52/2.76 (define @t1557 () (lambda @t18 @t1556)) % 2.52/2.76 (define @t1558 () (_ @t1557 tptp.c_Empty)) % 2.52/2.76 (define @t1559 () (lambda @t48 (_ (_ @t1555 @t1558) @t50))) % 2.52/2.76 (define @t1560 () (lambda @t33 @t1553)) % 2.52/2.76 (define @t1561 () (and @t1499 @t143)) % 2.52/2.76 (define @t1562 () (or @t1552 @t1561)) % 2.52/2.76 (define @t1563 () (lambda @t30 @t1562)) % 2.52/2.76 (define @t1564 () (@var "BOUND_VARIABLE_9104" $$unsorted)) % 2.52/2.76 (define @t1565 () (= @t24 @t1564)) % 2.52/2.76 (define @t1566 () (and @t1499 @t1565)) % 2.52/2.76 (define @t1567 () (lambda (@list @t1564) (_ tptp.c_Eps_i (lambda @t30 (or @t1552 @t1566))))) % 2.52/2.77 (define @t1568 () (and @t154 @t562)) % 2.52/2.77 (define @t1569 () (lambda (@list @t2 @t1564) (_ tptp.c_Eps_i (lambda @t30 (or @t1568 @t1566))))) % 2.52/2.77 (define @t1570 () (and @t4 @t562)) % 2.52/2.77 (define @t1571 () (@list @t4 @t2 @t1564)) % 2.52/2.77 (define @t1572 () (and @t78 (= @t1564 @t24))) % 2.52/2.77 (define @t1573 () (or @t1570 @t1572)) % 2.52/2.77 (define @t1574 () (lambda @t30 @t1573)) % 2.52/2.77 (define @t1575 () (= @t19 @t24)) % 2.52/2.77 (define @t1576 () (and @t78 @t1575)) % 2.52/2.77 (define @t1577 () (or @t1570 @t1576)) % 2.52/2.77 (define @t1578 () (lambda @t30 @t1577)) % 2.52/2.77 (define @t1579 () (lambda @t146 (_ tptp.c_Eps_i @t1578))) % 2.52/2.77 (define @t1580 () (@var "BOUND_VARIABLE_8712" Bool)) % 2.52/2.77 (define @t1581 () (@list @t1580)) % 2.52/2.77 (define @t1582 () (@var "BOUND_VARIABLE_7743" Bool)) % 2.52/2.77 (define @t1583 () (@list @t1582)) % 2.52/2.77 (define @t1584 () (lambda @t1583 (and @t78 @t1582))) % 2.52/2.77 (define @t1585 () (= @t1582 false)) % 2.52/2.77 (define @t1586 () (not @t1585)) % 2.52/2.77 (define @t1587 () (ite @t1585 false true)) % 2.52/2.77 (define @t1588 () (= @t78 true)) % 2.52/2.77 (define @t1589 () (lambda @t1583 (ite @t1588 @t1587 false))) % 2.52/2.77 (define @t1590 () (@var "BOUND_VARIABLE_7741" Bool)) % 2.52/2.77 (define @t1591 () (lambda (@list @t1590 @t1582) (ite (= @t1590 true) @t1587 false))) % 2.52/2.77 (define @t1592 () (and @t4 @t9)) % 2.52/2.77 (define @t1593 () (lambda @t10 @t1592)) % 2.52/2.77 (define @t1594 () (= @t1580 false)) % 2.52/2.77 (define @t1595 () (not @t1594)) % 2.52/2.77 (define @t1596 () (= @t1570 false)) % 2.52/2.77 (define @t1597 () (not @t1596)) % 2.52/2.77 (define @t1598 () (ite @t1594 false true)) % 2.52/2.77 (define @t1599 () (lambda @t1581 (ite @t1596 @t1598 true))) % 2.52/2.77 (define @t1600 () (@var "BOUND_VARIABLE_8710" Bool)) % 2.52/2.77 (define @t1601 () (lambda (@list @t1600 @t1580) (ite (= @t1600 false) @t1598 true))) % 2.52/2.77 (define @t1602 () (lambda @t1583 (and @t4 @t1582))) % 2.52/2.77 (define @t1603 () (= @t4 true)) % 2.52/2.77 (define @t1604 () (lambda @t1583 (ite @t1603 @t1587 false))) % 2.52/2.77 (define @t1605 () (lambda @t10 (or @t4 @t9))) % 2.52/2.77 (define @t1606 () (and @t4 @t9 @t1074)) % 2.52/2.77 (define @t1607 () (or @t1606 false)) % 2.52/2.77 (define @t1608 () (not @t80)) % 2.52/2.77 (define @t1609 () (and @t4 @t9 @t1608)) % 2.52/2.77 (define @t1610 () (not (= @t80 false))) % 2.52/2.77 (define @t1611 () (or @t80 @t1609 @t80)) % 2.52/2.77 (define @t1612 () (or @t1609 @t80)) % 2.52/2.77 (define @t1613 () (and @t9 @t1608)) % 2.52/2.77 (define @t1614 () (not @t81)) % 2.52/2.77 (define @t1615 () (and @t9 @t1074)) % 2.52/2.77 (define @t1616 () (and @t4 @t1074)) % 2.52/2.77 (define @t1617 () (or @t1616 @t1615)) % 2.52/2.77 (define @t1618 () (or @t1616 @t1615 false)) % 2.52/2.77 (define @t1619 () (and @t4 @t1608)) % 2.52/2.77 (define @t1620 () (or @t80 @t1619 @t1613 @t80)) % 2.52/2.77 (define @t1621 () (or @t1619 @t1613 @t80)) % 2.52/2.77 (define @t1622 () (lambda @t115 @t1534)) % 2.52/2.77 (define @t1623 () (_ (lambda @t213 @t1534) @t195)) % 2.52/2.77 (define @t1624 () (or @t1533 @t193)) % 2.52/2.77 (define @t1625 () (or @t417 @t198)) % 2.52/2.77 (define @t1626 () (tptp.c_Repl @t397 tptp.c_Inj1)) % 2.52/2.77 (define @t1627 () (= @t24 @t1626)) % 2.52/2.77 (define @t1628 () (and @t1478 @t1627)) % 2.52/2.77 (define @t1629 () (tptp.c_Repl @t430 tptp.c_Inj1)) % 2.52/2.77 (define @t1630 () (lambda @t431 @t1629)) % 2.52/2.77 (define @t1631 () (tptp.c_Repl @t398 tptp.c_Inj1)) % 2.52/2.77 (define @t1632 () (= @t433 @t1631)) % 2.52/2.77 (define @t1633 () (=> @t435 tptp.c_False)) % 2.52/2.77 (define @t1634 () (and @t1633 @t1632)) % 2.52/2.77 (define @t1635 () (= @t1626 @t437)) % 2.52/2.77 (define @t1636 () (=> @t439 tptp.c_False)) % 2.52/2.77 (define @t1637 () (and @t1636 @t1635)) % 2.52/2.77 (define @t1638 () (tptp.c_Repl @t398 @t1630)) % 2.52/2.77 (define @t1639 () (= @t437 @t1638)) % 2.52/2.77 (define @t1640 () (and @t439 @t1639)) % 2.52/2.77 (define @t1641 () (or @t1640 @t1637)) % 2.52/2.77 (define @t1642 () (lambda @t441 @t1641)) % 2.52/2.77 (define @t1643 () (tptp.c_Eps_i @t1642)) % 2.52/2.77 (define @t1644 () (lambda @t442 @t1643)) % 2.52/2.77 (define @t1645 () (tptp.c_Repl @t398 @t1644)) % 2.52/2.77 (define @t1646 () (tptp.c_Union @t1645)) % 2.52/2.77 (define @t1647 () (tptp.c_Power @t1646)) % 2.52/2.77 (define @t1648 () (tptp.c_Repl @t1647 @t1630)) % 2.52/2.77 (define @t1649 () (= @t1648 @t433)) % 2.52/2.77 (define @t1650 () (and @t435 @t1649)) % 2.52/2.77 (define @t1651 () (or @t1650 @t1634)) % 2.52/2.77 (define @t1652 () (lambda @t443 @t1651)) % 2.52/2.77 (define @t1653 () (tptp.c_Eps_i @t1652)) % 2.52/2.77 (define @t1654 () (lambda @t444 @t1653)) % 2.52/2.77 (define @t1655 () (tptp.c_Repl @t398 @t1654)) % 2.52/2.77 (define @t1656 () (tptp.c_Union @t1655)) % 2.52/2.77 (define @t1657 () (tptp.c_Repl @t1656 @t1630)) % 2.52/2.77 (define @t1658 () (= @t24 @t1657)) % 2.52/2.77 (define @t1659 () (and @t428 @t1658)) % 2.52/2.77 (define @t1660 () (or @t1659 @t1628)) % 2.52/2.77 (define @t1661 () (lambda @t30 @t1660)) % 2.52/2.77 (define @t1662 () (tptp.c_Eps_i @t1661)) % 2.52/2.77 (define @t1663 () (lambda @t23 @t1662)) % 2.52/2.77 (define @t1664 () (tptp.c_Repl @t398 @t1663)) % 2.52/2.77 (define @t1665 () (tptp.c_Union @t1664)) % 2.52/2.77 (define @t1666 () (_ @t446 @t1665)) % 2.52/2.77 (define @t1667 () (_ @t446 @t1666)) % 2.52/2.77 (define @t1668 () (_ @t446 @t1667)) % 2.52/2.77 (define @t1669 () (_ @t447 @t1668)) % 2.52/2.77 (define @t1670 () (not @t1669)) % 2.52/2.77 (define @t1671 () (forall @t448 @t1670)) % 2.52/2.77 (define @t1672 () (or tptp.c_False @t1671)) % 2.52/2.77 (define @t1673 () (tptp.c_Repl @t477 tptp.c_Inj1)) % 2.52/2.77 (define @t1674 () (= @t478 @t1673)) % 2.52/2.77 (define @t1675 () (=> @t480 tptp.c_False)) % 2.52/2.77 (define @t1676 () (and @t1675 @t1674)) % 2.52/2.77 (define @t1677 () (tptp.c_Repl @t483 @t1630)) % 2.52/2.77 (define @t1678 () (= @t478 @t1677)) % 2.52/2.77 (define @t1679 () (and @t480 @t1678)) % 2.52/2.77 (define @t1680 () (or @t1679 @t1676)) % 2.52/2.77 (define @t1681 () (lambda @t484 @t1680)) % 2.52/2.77 (define @t1682 () (tptp.c_Eps_i @t1681)) % 2.52/2.77 (define @t1683 () (lambda @t485 @t1682)) % 2.52/2.77 (define @t1684 () (tptp.c_Repl @t398 @t1683)) % 2.52/2.77 (define @t1685 () (tptp.c_Union @t1684)) % 2.52/2.77 (define @t1686 () (lambda @t486 @t1685)) % 2.52/2.77 (define @t1687 () (tptp.c_Repl @t487 tptp.c_Inj1)) % 2.52/2.77 (define @t1688 () (= @t488 @t1687)) % 2.52/2.77 (define @t1689 () (=> @t490 tptp.c_False)) % 2.52/2.77 (define @t1690 () (and @t1689 @t1688)) % 2.52/2.77 (define @t1691 () (= @t488 @t1648)) % 2.52/2.77 (define @t1692 () (and @t490 @t1691)) % 2.52/2.77 (define @t1693 () (or @t1692 @t1690)) % 2.52/2.77 (define @t1694 () (lambda @t492 @t1693)) % 2.52/2.77 (define @t1695 () (tptp.c_Eps_i @t1694)) % 2.52/2.77 (define @t1696 () (lambda @t493 @t1695)) % 2.52/2.77 (define @t1697 () (tptp.c_Repl @t398 @t1696)) % 2.52/2.77 (define @t1698 () (tptp.c_Union @t1697)) % 2.52/2.77 (define @t1699 () (tptp.c_Repl @t1698 @t1686)) % 2.52/2.77 (define @t1700 () (lambda @t494 @t1699)) % 2.52/2.77 (define @t1701 () (tptp.c_Repl @t495 @t1700)) % 2.52/2.77 (define @t1702 () (tptp.c_Union @t1701)) % 2.52/2.77 (define @t1703 () (_ @t496 @t1702)) % 2.52/2.77 (define @t1704 () (and @t1703 @t1443)) % 2.52/2.77 (define @t1705 () (or @t1704 @t454)) % 2.52/2.77 (define @t1706 () (and @t498 @t1705)) % 2.52/2.77 (define @t1707 () (=> @t508 tptp.c_False)) % 2.52/2.77 (define @t1708 () (and @t1707 @t506)) % 2.52/2.77 (define @t1709 () (or @t510 @t1708)) % 2.52/2.77 (define @t1710 () (lambda @t511 @t1709)) % 2.52/2.77 (define @t1711 () (tptp.c_Eps_i @t1710)) % 2.52/2.77 (define @t1712 () (lambda @t512 @t1711)) % 2.52/2.77 (define @t1713 () (tptp.c_Repl @t398 @t1712)) % 2.52/2.77 (define @t1714 () (= @t1713 @t514)) % 2.52/2.77 (define @t1715 () (=> @t516 tptp.c_False)) % 2.52/2.77 (define @t1716 () (and @t1715 @t1714)) % 2.52/2.77 (define @t1717 () (or @t518 @t1716)) % 2.52/2.77 (define @t1718 () (lambda @t519 @t1717)) % 2.52/2.77 (define @t1719 () (tptp.c_Eps_i @t1718)) % 2.52/2.77 (define @t1720 () (lambda @t520 @t1719)) % 2.52/2.77 (define @t1721 () (tptp.c_Repl @t398 @t1720)) % 2.52/2.77 (define @t1722 () (tptp.c_Union @t1721)) % 2.52/2.77 (define @t1723 () (= @t1722 @t522)) % 2.52/2.77 (define @t1724 () (=> @t525 tptp.c_False)) % 2.52/2.77 (define @t1725 () (and @t1724 @t1723)) % 2.52/2.77 (define @t1726 () (and @t525 @t1723)) % 2.52/2.77 (define @t1727 () (or @t1726 @t1725)) % 2.52/2.77 (define @t1728 () (lambda @t526 @t1727)) % 2.52/2.77 (define @t1729 () (tptp.c_Eps_i @t1728)) % 2.52/2.77 (define @t1730 () (lambda @t527 @t1729)) % 2.52/2.77 (define @t1731 () (tptp.c_Repl @t398 @t1730)) % 2.52/2.77 (define @t1732 () (= @t528 @t1731)) % 2.52/2.77 (define @t1733 () (=> @t531 tptp.c_False)) % 2.52/2.77 (define @t1734 () (and @t1733 @t1732)) % 2.52/2.77 (define @t1735 () (and @t531 @t1732)) % 2.52/2.77 (define @t1736 () (or @t1735 @t1734)) % 2.52/2.77 (define @t1737 () (lambda @t533 @t1736)) % 2.52/2.77 (define @t1738 () (tptp.c_Eps_i @t1737)) % 2.52/2.77 (define @t1739 () (lambda @t534 @t1738)) % 2.52/2.77 (define @t1740 () (tptp.c_Repl @t398 @t1739)) % 2.52/2.77 (define @t1741 () (= @t535 @t1740)) % 2.52/2.77 (define @t1742 () (=> @t537 tptp.c_False)) % 2.52/2.77 (define @t1743 () (and @t1742 @t1741)) % 2.52/2.77 (define @t1744 () (or @t538 @t1743)) % 2.52/2.77 (define @t1745 () (lambda @t539 @t1744)) % 2.52/2.77 (define @t1746 () (tptp.c_Eps_i @t1745)) % 2.52/2.77 (define @t1747 () (lambda @t540 @t1746)) % 2.52/2.77 (define @t1748 () (tptp.c_Repl @t398 @t1747)) % 2.52/2.77 (define @t1749 () (tptp.c_Union @t1748)) % 2.52/2.77 (define @t1750 () (tptp.c_In @t1749 @t19)) % 2.52/2.77 (define @t1751 () (not @t1750)) % 2.52/2.77 (define @t1752 () (or @t1751 tptp.c_False)) % 2.52/2.77 (define @t1753 () (and @t1752 @t504)) % 2.52/2.77 (define @t1754 () (or @t542 tptp.c_False)) % 2.52/2.77 (define @t1755 () (and @t1750 @t1754)) % 2.52/2.77 (define @t1756 () (or @t543 @t1755 @t1753)) % 2.52/2.77 (define @t1757 () (forall @t544 @t1756)) % 2.52/2.77 (define @t1758 () (not @t1757)) % 2.52/2.77 (define @t1759 () (= @t545 @t1722)) % 2.52/2.77 (define @t1760 () (=> @t548 tptp.c_False)) % 2.52/2.77 (define @t1761 () (and @t1760 @t1759)) % 2.52/2.77 (define @t1762 () (and @t548 @t1759)) % 2.52/2.77 (define @t1763 () (or @t1762 @t1761)) % 2.52/2.77 (define @t1764 () (lambda @t549 @t1763)) % 2.52/2.77 (define @t1765 () (tptp.c_Eps_i @t1764)) % 2.52/2.77 (define @t1766 () (lambda @t550 @t1765)) % 2.52/2.77 (define @t1767 () (tptp.c_Repl @t398 @t1766)) % 2.52/2.77 (define @t1768 () (= @t528 @t1767)) % 2.52/2.77 (define @t1769 () (and @t1733 @t1768)) % 2.52/2.77 (define @t1770 () (and @t531 @t1768)) % 2.52/2.77 (define @t1771 () (or @t1770 @t1769)) % 2.52/2.77 (define @t1772 () (lambda @t533 @t1771)) % 2.52/2.77 (define @t1773 () (tptp.c_Eps_i @t1772)) % 2.52/2.77 (define @t1774 () (lambda @t534 @t1773)) % 2.52/2.77 (define @t1775 () (tptp.c_Repl @t398 @t1774)) % 2.52/2.77 (define @t1776 () (= @t552 @t1775)) % 2.52/2.77 (define @t1777 () (=> @t554 tptp.c_False)) % 2.52/2.77 (define @t1778 () (and @t1777 @t1776)) % 2.52/2.77 (define @t1779 () (or @t556 @t1778)) % 2.52/2.77 (define @t1780 () (lambda @t557 @t1779)) % 2.52/2.77 (define @t1781 () (tptp.c_Eps_i @t1780)) % 2.52/2.77 (define @t1782 () (lambda @t558 @t1781)) % 2.52/2.77 (define @t1783 () (tptp.c_Repl @t398 @t1782)) % 2.52/2.77 (define @t1784 () (tptp.c_Union @t1783)) % 2.52/2.77 (define @t1785 () (lambda @t559 @t1784)) % 2.52/2.77 (define @t1786 () (tptp.c_Repl @t2 @t1785)) % 2.52/2.77 (define @t1787 () (= @t24 @t1786)) % 2.52/2.77 (define @t1788 () (=> @t561 tptp.c_False)) % 2.52/2.77 (define @t1789 () (and @t1788 @t1787)) % 2.52/2.77 (define @t1790 () (or @t563 @t1789)) % 2.52/2.77 (define @t1791 () (lambda @t30 @t1790)) % 2.52/2.77 (define @t1792 () (tptp.c_Eps_i @t1791)) % 2.52/2.77 (define @t1793 () (lambda @t564 @t1792)) % 2.52/2.77 (define @t1794 () (tptp.c_Repl @t398 @t1793)) % 2.52/2.77 (define @t1795 () (tptp.c_Union @t1794)) % 2.52/2.77 (define @t1796 () (tptp.c_In @t565 @t1795)) % 2.52/2.77 (define @t1797 () (or @t566 @t1796)) % 2.52/2.77 (define @t1798 () (forall @t567 @t1797)) % 2.52/2.77 (define @t1799 () (not @t1798)) % 2.52/2.77 (define @t1800 () (or @t583 @t576 @t1799 @t1758)) % 2.52/2.77 (define @t1801 () (forall @t33 @t1800)) % 2.52/2.77 (define @t1802 () (not @t1801)) % 2.52/2.77 (define @t1803 () (and @t1802 @t1443)) % 2.52/2.77 (define @t1804 () (or @t1803 @t502 @t1706)) % 2.52/2.77 (define @t1805 () (forall @t585 @t1804)) % 2.52/2.77 (define @t1806 () (not @t1805)) % 2.52/2.77 (define @t1807 () (and @t1707 @t591)) % 2.52/2.77 (define @t1808 () (or @t592 @t1807)) % 2.52/2.77 (define @t1809 () (lambda @t511 @t1808)) % 2.52/2.77 (define @t1810 () (tptp.c_Eps_i @t1809)) % 2.52/2.77 (define @t1811 () (lambda @t512 @t1810)) % 2.52/2.77 (define @t1812 () (tptp.c_Repl @t398 @t1811)) % 2.52/2.77 (define @t1813 () (= @t593 @t1812)) % 2.52/2.77 (define @t1814 () (=> @t596 tptp.c_False)) % 2.52/2.77 (define @t1815 () (and @t1814 @t1813)) % 2.52/2.77 (define @t1816 () (or @t598 @t1815)) % 2.52/2.77 (define @t1817 () (lambda @t599 @t1816)) % 2.52/2.77 (define @t1818 () (tptp.c_Eps_i @t1817)) % 2.52/2.77 (define @t1819 () (lambda @t600 @t1818)) % 2.52/2.77 (define @t1820 () (tptp.c_Repl @t398 @t1819)) % 2.52/2.77 (define @t1821 () (tptp.c_Union @t1820)) % 2.52/2.77 (define @t1822 () (tptp.c_In @t588 @t1821)) % 2.52/2.77 (define @t1823 () (not @t1822)) % 2.52/2.77 (define @t1824 () (or @t1823 @t589)) % 2.52/2.77 (define @t1825 () (and @t1824 @t1443)) % 2.52/2.77 (define @t1826 () (tptp.c_In @t587 @t1821)) % 2.52/2.77 (define @t1827 () (not @t1826)) % 2.52/2.77 (define @t1828 () (and @t1222 @t1443)) % 2.52/2.77 (define @t1829 () (tptp.c_In @t608 @t1821)) % 2.52/2.77 (define @t1830 () (not @t1829)) % 2.52/2.77 (define @t1831 () (or @t1830 @t609)) % 2.52/2.77 (define @t1832 () (and @t1831 @t1443)) % 2.52/2.77 (define @t1833 () (=> @t613 tptp.c_False)) % 2.52/2.77 (define @t1834 () (and @t1833 @t1813)) % 2.52/2.77 (define @t1835 () (or @t614 @t1834)) % 2.52/2.77 (define @t1836 () (lambda @t599 @t1835)) % 2.52/2.77 (define @t1837 () (tptp.c_Eps_i @t1836)) % 2.52/2.77 (define @t1838 () (lambda @t615 @t1837)) % 2.52/2.77 (define @t1839 () (tptp.c_Repl @t398 @t1838)) % 2.52/2.77 (define @t1840 () (tptp.c_Union @t1839)) % 2.52/2.77 (define @t1841 () (tptp.c_In @t616 @t1840)) % 2.52/2.77 (define @t1842 () (or @t617 @t1841)) % 2.52/2.77 (define @t1843 () (forall @t618 @t1842)) % 2.52/2.77 (define @t1844 () (not @t1843)) % 2.52/2.77 (define @t1845 () (or @t1844 @t1832 @t611 @t1828)) % 2.52/2.77 (define @t1846 () (forall @t621 @t1845)) % 2.52/2.77 (define @t1847 () (not @t1846)) % 2.52/2.77 (define @t1848 () (and @t1847 @t1443)) % 2.52/2.77 (define @t1849 () (or @t625 @t1848 @t1827 @t1825)) % 2.52/2.77 (define @t1850 () (forall @t627 @t1849)) % 2.52/2.77 (define @t1851 () (not @t1850)) % 2.52/2.77 (define @t1852 () (or @t629 @t1851)) % 2.52/2.77 (define @t1853 () (forall @t23 @t1852)) % 2.52/2.77 (define @t1854 () (not @t1853)) % 2.52/2.77 (define @t1855 () (= @t1626 @t656)) % 2.52/2.77 (define @t1856 () (and @t1478 @t1855)) % 2.52/2.77 (define @t1857 () (tptp.c_Repl @t487 @t1630)) % 2.52/2.77 (define @t1858 () (= @t1857 @t656)) % 2.52/2.77 (define @t1859 () (and @t428 @t1858)) % 2.52/2.77 (define @t1860 () (or @t1859 @t1856)) % 2.52/2.77 (define @t1861 () (lambda @t657 @t1860)) % 2.52/2.77 (define @t1862 () (tptp.c_Eps_i @t1861)) % 2.52/2.77 (define @t1863 () (lambda @t23 @t1862)) % 2.52/2.77 (define @t1864 () (tptp.c_Repl @t398 @t1863)) % 2.52/2.77 (define @t1865 () (tptp.c_Union @t1864)) % 2.52/2.77 (define @t1866 () (_ @t497 @t1865)) % 2.52/2.77 (define @t1867 () (tptp.c_In @t658 @t1866)) % 2.52/2.77 (define @t1868 () (not @t1867)) % 2.52/2.77 (define @t1869 () (or @t661 @t1868)) % 2.52/2.77 (define @t1870 () (forall @t662 @t1869)) % 2.52/2.77 (define @t1871 () (not @t1870)) % 2.52/2.77 (define @t1872 () (=> @t1871 tptp.c_False)) % 2.52/2.77 (define @t1873 () (and @t1872 @t635)) % 2.52/2.77 (define @t1874 () (= @t1626 @t697)) % 2.52/2.77 (define @t1875 () (and @t1478 @t1874)) % 2.52/2.77 (define @t1876 () (= @t1857 @t697)) % 2.52/2.77 (define @t1877 () (and @t428 @t1876)) % 2.52/2.77 (define @t1878 () (or @t1877 @t1875)) % 2.52/2.77 (define @t1879 () (lambda @t698 @t1878)) % 2.52/2.77 (define @t1880 () (tptp.c_Eps_i @t1879)) % 2.52/2.77 (define @t1881 () (lambda @t23 @t1880)) % 2.52/2.77 (define @t1882 () (tptp.c_Repl @t398 @t1881)) % 2.52/2.77 (define @t1883 () (tptp.c_Union @t1882)) % 2.52/2.77 (define @t1884 () (_ @t497 @t1883)) % 2.52/2.77 (define @t1885 () (tptp.c_In @t57 @t1884)) % 2.52/2.77 (define @t1886 () (and @t699 @t1885)) % 2.52/2.77 (define @t1887 () (lambda @t58 @t1886)) % 2.52/2.77 (define @t1888 () (tptp.c_Eps_i @t1887)) % 2.52/2.77 (define @t1889 () (= @t700 @t1888)) % 2.52/2.77 (define @t1890 () (tptp.c_In @t706 @t1884)) % 2.52/2.77 (define @t1891 () (=> @t1890 tptp.c_False)) % 2.52/2.77 (define @t1892 () (and @t1891 @t1889)) % 2.52/2.77 (define @t1893 () (and @t1890 @t708)) % 2.52/2.77 (define @t1894 () (or @t1893 @t1892)) % 2.52/2.77 (define @t1895 () (lambda @t709 @t1894)) % 2.52/2.77 (define @t1896 () (tptp.c_Eps_i @t1895)) % 2.52/2.77 (define @t1897 () (lambda @t710 @t1896)) % 2.52/2.77 (define @t1898 () (tptp.c_Repl @t659 @t1897)) % 2.52/2.77 (define @t1899 () (= @t24 @t1898)) % 2.52/2.77 (define @t1900 () (and @t1871 @t1899)) % 2.52/2.77 (define @t1901 () (or @t1900 @t1873)) % 2.52/2.77 (define @t1902 () (lambda @t30 @t1901)) % 2.52/2.77 (define @t1903 () (tptp.c_Eps_i @t1902)) % 2.52/2.77 (define @t1904 () (_ @t497 @t1903)) % 2.52/2.77 (define @t1905 () (_ @t496 @t1904)) % 2.52/2.77 (define @t1906 () (and @t1905 @t634 @t1854)) % 2.52/2.77 (define @t1907 () (or @t1906 @t1806)) % 2.52/2.77 (define @t1908 () (forall @t712 @t1907)) % 2.52/2.77 (define @t1909 () (and @t1908 @t1672)) % 2.52/2.77 (define @t1910 () (=> @t1909 tptp.c_False)) % 2.52/2.77 (define @t1911 () (@var "BOUND_VARIABLE_10989" $$unsorted)) % 2.52/2.77 (define @t1912 () (tptp.c_Inj1 @t1911)) % 2.52/2.77 (define @t1913 () (@list @t1911)) % 2.52/2.77 (define @t1914 () (lambda @t1913 @t1912)) % 2.52/2.77 (define @t1915 () (tptp.c_Repl @t397 @t1914)) % 2.52/2.77 (define @t1916 () (= @t24 @t1915)) % 2.52/2.77 (define @t1917 () (and @t1478 @t1916)) % 2.52/2.77 (define @t1918 () (@var "BOUND_VARIABLE_10957" $$unsorted)) % 2.52/2.77 (define @t1919 () (tptp.c_Inj1 @t1918)) % 2.52/2.77 (define @t1920 () (@list @t1918)) % 2.52/2.77 (define @t1921 () (lambda @t1920 @t1919)) % 2.52/2.77 (define @t1922 () (tptp.c_Repl @t430 @t1921)) % 2.52/2.77 (define @t1923 () (lambda @t431 @t1922)) % 2.52/2.77 (define @t1924 () (tptp.c_Repl @t398 @t1914)) % 2.52/2.77 (define @t1925 () (= @t1924 @t433)) % 2.52/2.77 (define @t1926 () (and @t1633 @t1925)) % 2.52/2.77 (define @t1927 () (= @t1915 @t437)) % 2.52/2.77 (define @t1928 () (and @t1636 @t1927)) % 2.52/2.77 (define @t1929 () (tptp.c_Repl @t398 @t1923)) % 2.52/2.77 (define @t1930 () (= @t1929 @t437)) % 2.52/2.77 (define @t1931 () (and @t439 @t1930)) % 2.52/2.77 (define @t1932 () (or @t1931 @t1928)) % 2.52/2.77 (define @t1933 () (lambda @t441 @t1932)) % 2.52/2.77 (define @t1934 () (tptp.c_Eps_i @t1933)) % 2.52/2.77 (define @t1935 () (lambda @t442 @t1934)) % 2.52/2.77 (define @t1936 () (tptp.c_Repl @t398 @t1935)) % 2.52/2.77 (define @t1937 () (tptp.c_Union @t1936)) % 2.52/2.77 (define @t1938 () (tptp.c_Power @t1937)) % 2.52/2.77 (define @t1939 () (tptp.c_Repl @t1938 @t1923)) % 2.52/2.77 (define @t1940 () (= @t1939 @t433)) % 2.52/2.77 (define @t1941 () (and @t435 @t1940)) % 2.52/2.77 (define @t1942 () (or @t1941 @t1926)) % 2.52/2.77 (define @t1943 () (lambda @t443 @t1942)) % 2.52/2.77 (define @t1944 () (tptp.c_Eps_i @t1943)) % 2.52/2.77 (define @t1945 () (lambda @t444 @t1944)) % 2.52/2.77 (define @t1946 () (tptp.c_Repl @t398 @t1945)) % 2.52/2.77 (define @t1947 () (tptp.c_Union @t1946)) % 2.52/2.77 (define @t1948 () (tptp.c_Repl @t1947 @t1923)) % 2.52/2.77 (define @t1949 () (= @t24 @t1948)) % 2.52/2.77 (define @t1950 () (and @t428 @t1949)) % 2.52/2.77 (define @t1951 () (or @t1950 @t1917)) % 2.52/2.77 (define @t1952 () (lambda @t30 @t1951)) % 2.52/2.77 (define @t1953 () (tptp.c_Eps_i @t1952)) % 2.52/2.77 (define @t1954 () (lambda @t23 @t1953)) % 2.52/2.77 (define @t1955 () (tptp.c_Repl @t398 @t1954)) % 2.52/2.77 (define @t1956 () (tptp.c_Union @t1955)) % 2.52/2.77 (define @t1957 () (_ @t446 @t1956)) % 2.52/2.77 (define @t1958 () (_ @t446 @t1957)) % 2.52/2.77 (define @t1959 () (_ @t446 @t1958)) % 2.52/2.77 (define @t1960 () (_ @t447 @t1959)) % 2.52/2.77 (define @t1961 () (not @t1960)) % 2.52/2.77 (define @t1962 () (_ tptp.c_Inj1 @t1911)) % 2.52/2.77 (define @t1963 () (lambda @t1913 @t1962)) % 2.52/2.77 (define @t1964 () (_ tptp.c_Repl @t54)) % 2.52/2.77 (define @t1965 () (_ @t1964 @t1963)) % 2.52/2.77 (define @t1966 () (= @t24 @t1965)) % 2.52/2.77 (define @t1967 () (and @t1499 @t1966)) % 2.52/2.77 (define @t1968 () (_ tptp.c_Inj1 @t1918)) % 2.52/2.77 (define @t1969 () (lambda @t1920 @t1968)) % 2.52/2.77 (define @t1970 () (_ tptp.c_Repl @t430)) % 2.52/2.77 (define @t1971 () (_ @t1970 @t1969)) % 2.52/2.77 (define @t1972 () (lambda @t431 @t1971)) % 2.52/2.77 (define @t1973 () (_ @t156 @t1963)) % 2.52/2.77 (define @t1974 () (= @t1973 @t433)) % 2.52/2.77 (define @t1975 () (_ @t153 @t434)) % 2.52/2.77 (define @t1976 () (=> @t1975 tptp.c_False)) % 2.52/2.77 (define @t1977 () (and @t1976 @t1974)) % 2.52/2.77 (define @t1978 () (= @t1965 @t437)) % 2.52/2.77 (define @t1979 () (_ @t153 @t438)) % 2.52/2.77 (define @t1980 () (=> @t1979 tptp.c_False)) % 2.52/2.77 (define @t1981 () (and @t1980 @t1978)) % 2.52/2.77 (define @t1982 () (_ @t156 @t1972)) % 2.52/2.77 (define @t1983 () (= @t1982 @t437)) % 2.52/2.77 (define @t1984 () (and @t1979 @t1983)) % 2.52/2.77 (define @t1985 () (or @t1984 @t1981)) % 2.52/2.77 (define @t1986 () (lambda @t441 @t1985)) % 2.52/2.77 (define @t1987 () (_ tptp.c_Eps_i @t1986)) % 2.52/2.77 (define @t1988 () (lambda @t442 @t1987)) % 2.52/2.77 (define @t1989 () (_ @t156 @t1988)) % 2.52/2.77 (define @t1990 () (_ tptp.c_Union @t1989)) % 2.52/2.77 (define @t1991 () (_ tptp.c_Power @t1990)) % 2.52/2.77 (define @t1992 () (_ (_ tptp.c_Repl @t1991) @t1972)) % 2.52/2.77 (define @t1993 () (= @t1992 @t433)) % 2.52/2.77 (define @t1994 () (and @t1975 @t1993)) % 2.52/2.77 (define @t1995 () (or @t1994 @t1977)) % 2.52/2.77 (define @t1996 () (lambda @t443 @t1995)) % 2.52/2.77 (define @t1997 () (_ tptp.c_Eps_i @t1996)) % 2.52/2.77 (define @t1998 () (lambda @t444 @t1997)) % 2.52/2.77 (define @t1999 () (_ @t156 @t1998)) % 2.52/2.77 (define @t2000 () (_ tptp.c_Union @t1999)) % 2.52/2.77 (define @t2001 () (_ (_ tptp.c_Repl @t2000) @t1972)) % 2.52/2.77 (define @t2002 () (= @t24 @t2001)) % 2.52/2.77 (define @t2003 () (and @t154 @t2002)) % 2.52/2.77 (define @t2004 () (or @t2003 @t1967)) % 2.52/2.77 (define @t2005 () (lambda @t30 @t2004)) % 2.52/2.77 (define @t2006 () (_ tptp.c_Eps_i @t2005)) % 2.52/2.77 (define @t2007 () (lambda @t23 @t2006)) % 2.52/2.77 (define @t2008 () (_ @t156 @t2007)) % 2.52/2.77 (define @t2009 () (_ tptp.c_Union @t2008)) % 2.52/2.77 (define @t2010 () (_ @t446 @t2009)) % 2.52/2.77 (define @t2011 () (_ @t446 @t2010)) % 2.52/2.77 (define @t2012 () (_ @t446 @t2011)) % 2.52/2.77 (define @t2013 () (_ @t447 @t2012)) % 2.52/2.77 (define @t2014 () (not @t2013)) % 2.52/2.77 (define @t2015 () (forall @t448 @t2014)) % 2.52/2.77 (define @t2016 () (or tptp.c_False @t2015)) % 2.52/2.77 (define @t2017 () (or tptp.c_False @t2014)) % 2.52/2.77 (define @t2018 () (or @t2014 tptp.c_False)) % 2.52/2.77 (define @t2019 () (forall @t448 @t2018)) % 2.52/2.77 (define @t2020 () (@list @t633 @t632)) % 2.52/2.77 (define @t2021 () (forall @t2020 @t1907)) % 2.52/2.77 (define @t2022 () (@list @t496 @t497)) % 2.52/2.77 (define @t2023 () (forall @t2020 @t1854)) % 2.52/2.77 (define @t2024 () (forall @t2020 @t634)) % 2.52/2.77 (define @t2025 () (forall @t2020 @t1905)) % 2.52/2.77 (define @t2026 () (and @t2025 @t2024 @t2023)) % 2.52/2.77 (define @t2027 () (forall @t2020 @t1906)) % 2.52/2.77 (define @t2028 () (or @t2027 @t1806)) % 2.52/2.77 (define @t2029 () (not @t578)) % 2.52/2.77 (define @t2030 () (@list @t2 @t577)) % 2.52/2.77 (define @t2031 () (forall @t2030 (or (not (tptp.c_In @t2 @t631)) @t2029 (tptp.c_In @t577 @t631)))) % 2.52/2.77 (define @t2032 () (= @t1915 @t697)) % 2.52/2.77 (define @t2033 () (and @t1478 @t2032)) % 2.52/2.77 (define @t2034 () (tptp.c_Repl @t487 @t1923)) % 2.52/2.77 (define @t2035 () (= @t2034 @t697)) % 2.52/2.77 (define @t2036 () (and @t428 @t2035)) % 2.52/2.77 (define @t2037 () (or @t2036 @t2033)) % 2.52/2.77 (define @t2038 () (lambda @t698 @t2037)) % 2.52/2.77 (define @t2039 () (tptp.c_Eps_i @t2038)) % 2.52/2.77 (define @t2040 () (lambda @t23 @t2039)) % 2.52/2.77 (define @t2041 () (tptp.c_Repl @t398 @t2040)) % 2.52/2.77 (define @t2042 () (tptp.c_Union @t2041)) % 2.52/2.77 (define @t2043 () (_ @t497 @t2042)) % 2.52/2.77 (define @t2044 () (tptp.c_In @t57 @t2043)) % 2.52/2.77 (define @t2045 () (and @t699 @t2044)) % 2.52/2.77 (define @t2046 () (lambda @t58 @t2045)) % 2.52/2.77 (define @t2047 () (tptp.c_Eps_i @t2046)) % 2.52/2.77 (define @t2048 () (= @t700 @t2047)) % 2.52/2.77 (define @t2049 () (tptp.c_In @t706 @t2043)) % 2.52/2.77 (define @t2050 () (=> @t2049 tptp.c_False)) % 2.52/2.77 (define @t2051 () (and @t2050 @t2048)) % 2.52/2.77 (define @t2052 () (and @t2049 @t708)) % 2.52/2.77 (define @t2053 () (or @t2052 @t2051)) % 2.52/2.77 (define @t2054 () (lambda @t709 @t2053)) % 2.52/2.77 (define @t2055 () (tptp.c_Eps_i @t2054)) % 2.52/2.77 (define @t2056 () (lambda @t710 @t2055)) % 2.52/2.77 (define @t2057 () (tptp.c_Repl @t659 @t2056)) % 2.52/2.77 (define @t2058 () (= @t24 @t2057)) % 2.52/2.77 (define @t2059 () (and @t1871 @t2058)) % 2.52/2.77 (define @t2060 () (or @t2059 @t1873)) % 2.52/2.77 (define @t2061 () (lambda @t30 @t2060)) % 2.52/2.77 (define @t2062 () (tptp.c_Eps_i @t2061)) % 2.52/2.77 (define @t2063 () (_ @t497 @t2062)) % 2.52/2.77 (define @t2064 () (_ @t496 @t2063)) % 2.52/2.77 (define @t2065 () (and @t2064 @t2031 @t1854)) % 2.52/2.77 (define @t2066 () (or @t2065 @t1806)) % 2.52/2.77 (define @t2067 () (lambda @t431 (_ @t1970 tptp.c_Inj1))) % 2.52/2.77 (define @t2068 () (_ tptp.c_Repl @t71)) % 2.52/2.77 (define @t2069 () (lambda @t657 (or (and @t154 (= (_ @t2068 @t2067) @t656)) (and @t1499 (= (_ @t1964 tptp.c_Inj1) @t656))))) % 2.52/2.77 (define @t2070 () (lambda @t23 (_ tptp.c_Eps_i @t2069))) % 2.52/2.77 (define @t2071 () (_ @t156 @t2070)) % 2.52/2.77 (define @t2072 () (_ tptp.c_Union @t2071)) % 2.52/2.77 (define @t2073 () (_ @t497 @t2072)) % 2.52/2.77 (define @t2074 () (_ tptp.c_In @t658)) % 2.52/2.77 (define @t2075 () (_ @t497 @t54)) % 2.52/2.77 (define @t2076 () (not (forall @t662 (or (not (_ @t2074 @t2075)) (not (_ @t2074 @t2073)))))) % 2.52/2.77 (define @t2077 () (= @t1965 @t697)) % 2.52/2.77 (define @t2078 () (and @t1499 @t2077)) % 2.52/2.77 (define @t2079 () (_ @t2068 @t1972)) % 2.52/2.77 (define @t2080 () (= @t2079 @t697)) % 2.52/2.77 (define @t2081 () (and @t154 @t2080)) % 2.52/2.77 (define @t2082 () (or @t2081 @t2078)) % 2.52/2.77 (define @t2083 () (lambda @t698 @t2082)) % 2.52/2.77 (define @t2084 () (_ tptp.c_Eps_i @t2083)) % 2.52/2.77 (define @t2085 () (lambda @t23 @t2084)) % 2.52/2.77 (define @t2086 () (_ @t156 @t2085)) % 2.52/2.77 (define @t2087 () (_ tptp.c_Union @t2086)) % 2.52/2.77 (define @t2088 () (_ @t497 @t2087)) % 2.52/2.77 (define @t2089 () (_ @t167 @t2088)) % 2.52/2.77 (define @t2090 () (_ @t167 @t2075)) % 2.52/2.77 (define @t2091 () (and @t2090 @t2089)) % 2.52/2.77 (define @t2092 () (lambda @t58 @t2091)) % 2.52/2.77 (define @t2093 () (_ tptp.c_Eps_i @t2092)) % 2.52/2.77 (define @t2094 () (= @t700 @t2093)) % 2.52/2.77 (define @t2095 () (_ tptp.c_In @t706)) % 2.52/2.77 (define @t2096 () (_ @t2095 @t2088)) % 2.52/2.77 (define @t2097 () (=> @t2096 tptp.c_False)) % 2.52/2.77 (define @t2098 () (and @t2097 @t2094)) % 2.52/2.77 (define @t2099 () (and @t2096 @t708)) % 2.52/2.77 (define @t2100 () (or @t2099 @t2098)) % 2.52/2.77 (define @t2101 () (lambda @t709 @t2100)) % 2.52/2.77 (define @t2102 () (_ tptp.c_Eps_i @t2101)) % 2.52/2.77 (define @t2103 () (lambda @t710 @t2102)) % 2.52/2.77 (define @t2104 () (_ (_ tptp.c_Repl @t2075) @t2103)) % 2.52/2.77 (define @t2105 () (= @t24 @t2104)) % 2.52/2.77 (define @t2106 () (lambda @t30 (or (and @t2076 @t2105) (and (=> @t2076 tptp.c_False) @t635)))) % 2.52/2.77 (define @t2107 () (_ tptp.c_Eps_i @t2106)) % 2.52/2.77 (define @t2108 () (_ @t497 @t2107)) % 2.52/2.77 (define @t2109 () (_ tptp.c_Repl @t487)) % 2.52/2.77 (define @t2110 () (and @t1871 @t2105)) % 2.52/2.77 (define @t2111 () (or @t2110 @t1873)) % 2.52/2.77 (define @t2112 () (lambda @t30 @t2111)) % 2.52/2.77 (define @t2113 () (_ @t496 (_ @t497 (_ tptp.c_Eps_i @t2112)))) % 2.52/2.77 (define @t2114 () (and @t2113 @t2031 @t1854)) % 2.52/2.77 (define @t2115 () (or @t2114 @t1806)) % 2.52/2.77 (define @t2116 () (= @t590 @t593)) % 2.52/2.77 (define @t2117 () (and @t596 @t2116)) % 2.52/2.77 (define @t2118 () (or @t2117 @t1815)) % 2.52/2.77 (define @t2119 () (lambda @t599 @t2118)) % 2.52/2.77 (define @t2120 () (tptp.c_Eps_i @t2119)) % 2.52/2.77 (define @t2121 () (lambda @t600 @t2120)) % 2.52/2.77 (define @t2122 () (tptp.c_Repl @t398 @t2121)) % 2.52/2.77 (define @t2123 () (tptp.c_Union @t2122)) % 2.52/2.77 (define @t2124 () (tptp.c_In @t588 @t2123)) % 2.52/2.77 (define @t2125 () (not @t2124)) % 2.52/2.77 (define @t2126 () (or @t2125 @t589)) % 2.52/2.77 (define @t2127 () (and @t2126 @t1443)) % 2.52/2.77 (define @t2128 () (tptp.c_In @t587 @t2123)) % 2.52/2.77 (define @t2129 () (not @t2128)) % 2.52/2.77 (define @t2130 () (tptp.c_In @t608 @t2123)) % 2.52/2.77 (define @t2131 () (not @t2130)) % 2.52/2.77 (define @t2132 () (or @t2131 @t609)) % 2.52/2.77 (define @t2133 () (and @t2132 @t1443)) % 2.52/2.77 (define @t2134 () (and @t613 @t2116)) % 2.52/2.77 (define @t2135 () (or @t2134 @t1834)) % 2.52/2.77 (define @t2136 () (lambda @t599 @t2135)) % 2.52/2.77 (define @t2137 () (tptp.c_Eps_i @t2136)) % 2.52/2.77 (define @t2138 () (lambda @t615 @t2137)) % 2.52/2.77 (define @t2139 () (tptp.c_Repl @t398 @t2138)) % 2.52/2.77 (define @t2140 () (tptp.c_Union @t2139)) % 2.52/2.77 (define @t2141 () (tptp.c_In @t616 @t2140)) % 2.52/2.77 (define @t2142 () (or @t617 @t2141)) % 2.52/2.77 (define @t2143 () (forall @t618 @t2142)) % 2.52/2.77 (define @t2144 () (not @t2143)) % 2.52/2.77 (define @t2145 () (or @t2144 @t2133 @t611 @t1828)) % 2.52/2.77 (define @t2146 () (forall @t621 @t2145)) % 2.52/2.77 (define @t2147 () (not @t2146)) % 2.52/2.77 (define @t2148 () (and @t2147 @t1443)) % 2.52/2.77 (define @t2149 () (or @t625 @t2148 @t2129 @t2127)) % 2.52/2.77 (define @t2150 () (forall @t627 @t2149)) % 2.52/2.77 (define @t2151 () (not @t2150)) % 2.52/2.77 (define @t2152 () (or @t629 @t2151)) % 2.52/2.77 (define @t2153 () (forall @t23 @t2152)) % 2.52/2.77 (define @t2154 () (not @t2153)) % 2.52/2.77 (define @t2155 () (and @t2113 @t2031 @t2154)) % 2.52/2.77 (define @t2156 () (or @t2155 @t1806)) % 2.52/2.77 (define @t2157 () (forall @t2022 @t2156)) % 2.52/2.77 (define @t2158 () (_ @t1 (_ @t25 (_ @t25 (_ @t25 @t2009))))) % 2.52/2.77 (define @t2159 () (or (not @t2158) tptp.c_False)) % 2.52/2.77 (define @t2160 () (forall @t75 @t2159)) % 2.52/2.77 (define @t2161 () (@list @t1 @t25)) % 2.52/2.77 (define @t2162 () (_ @t25 @t19)) % 2.52/2.77 (define @t2163 () (= @t19 @t2162)) % 2.52/2.77 (define @t2164 () (and @t2163 (or (and (_ @t1 @t1702) @t1443) @t454))) % 2.52/2.77 (define @t2165 () (or @t1803 @t502 @t2164)) % 2.52/2.77 (define @t2166 () (not (forall @t585 @t2165))) % 2.52/2.77 (define @t2167 () (_ @t25 @t24)) % 2.52/2.77 (define @t2168 () (= @t505 @t2167)) % 2.52/2.77 (define @t2169 () (= @t593 (tptp.c_Repl @t398 (lambda @t512 (tptp.c_Eps_i (lambda @t511 (or (and @t508 @t2168) (and @t1707 @t2168)))))))) % 2.52/2.77 (define @t2170 () (= @t2167 @t593)) % 2.52/2.77 (define @t2171 () (tptp.c_Union (tptp.c_Repl @t398 (lambda @t600 (tptp.c_Eps_i (lambda @t599 (or (and @t596 @t2170) (and @t1814 @t2169)))))))) % 2.52/2.77 (define @t2172 () (and @t613 @t2170)) % 2.52/2.77 (define @t2173 () (tptp.c_Union (tptp.c_Repl @t398 (lambda @t615 (tptp.c_Eps_i (lambda @t599 (or @t2172 (and @t1833 @t2169)))))))) % 2.52/2.77 (define @t2174 () (not (forall @t627 (or @t625 (and (not (forall @t621 (or (not (forall @t618 (or @t617 (tptp.c_In @t616 @t2173)))) (and (or (not (tptp.c_In @t608 @t2171)) @t609) @t1443) @t611 @t1828))) @t1443) (not (tptp.c_In @t587 @t2171)) (and (or (not (tptp.c_In @t588 @t2171)) @t589) @t1443))))) % 2.52/2.77 (define @t2175 () (forall @t23 (or @t629 @t2174))) % 2.52/2.77 (define @t2176 () (not @t2175)) % 2.52/2.77 (define @t2177 () (_ @t25 tptp.c_Empty)) % 2.52/2.77 (define @t2178 () (forall @t2030 (or (not (tptp.c_In @t2 @t2177)) @t2029 (tptp.c_In @t577 @t2177)))) % 2.52/2.77 (define @t2179 () (_ @t25 @t397)) % 2.52/2.77 (define @t2180 () (not (tptp.c_In @t658 @t2179))) % 2.52/2.77 (define @t2181 () (not (forall @t662 (or @t2180 (not (tptp.c_In @t658 (_ @t25 @t1865))))))) % 2.52/2.77 (define @t2182 () (_ @t25 @t2087)) % 2.52/2.77 (define @t2183 () (_ @t167 @t72)) % 2.52/2.77 (define @t2184 () (_ @t2095 @t2182)) % 2.52/2.77 (define @t2185 () (_ tptp.c_Repl @t72)) % 2.52/2.77 (define @t2186 () (_ @t1 (_ @t25 (_ tptp.c_Eps_i (lambda @t30 (or (and @t2181 (= @t24 (_ @t2185 (lambda @t710 (_ tptp.c_Eps_i (lambda @t709 (or (and @t2184 @t708) (and (=> @t2184 tptp.c_False) (= @t700 (_ tptp.c_Eps_i (lambda @t58 (and @t2183 (_ @t167 @t2182))))))))))))) (and (=> @t2181 tptp.c_False) @t635))))))) % 2.52/2.77 (define @t2187 () (and @t2186 @t2178 @t2176)) % 2.52/2.77 (define @t2188 () (or @t2187 @t2166)) % 2.52/2.77 (define @t2189 () (forall @t75 @t2188)) % 2.52/2.77 (define @t2190 () (and @t2189 @t2160)) % 2.52/2.77 (define @t2191 () (=> @t2178 @t2175)) % 2.52/2.77 (define @t2192 () (=> @t2186 @t2191)) % 2.52/2.77 (define @t2193 () (=> @t2158 tptp.c_False)) % 2.52/2.77 (define @t2194 () (=> @t2192 @t2166)) % 2.52/2.77 (define @t2195 () (and @t2194 @t2193)) % 2.52/2.77 (define @t2196 () (and @t1499 (= @t24 (_ (_ tptp.c_Repl @t41) @t1963)))) % 2.52/2.77 (define @t2197 () (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t2003 @t2196))))) % 2.52/2.77 (define @t2198 () (and @t1499 (= @t433 @t1973))) % 2.52/2.77 (define @t2199 () (and @t154 (= @t433 @t1992))) % 2.52/2.77 (define @t2200 () (or @t2199 @t2198)) % 2.52/2.77 (define @t2201 () (lambda @t443 @t2200)) % 2.52/2.77 (define @t2202 () (lambda @t23 (_ tptp.c_Eps_i @t2201))) % 2.52/2.77 (define @t2203 () (= @t24 (_ (_ tptp.c_Repl (_ tptp.c_Union (_ @t156 @t2202))) @t1972))) % 2.52/2.77 (define @t2204 () (and @t154 @t2203)) % 2.52/2.77 (define @t2205 () (or @t2204 @t2196)) % 2.52/2.77 (define @t2206 () (lambda @t30 @t2205)) % 2.52/2.77 (define @t2207 () (= @t24 @t1992)) % 2.52/2.77 (define @t2208 () (and @t154 @t2207)) % 2.52/2.77 (define @t2209 () (_ tptp.c_Union (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t2208 (and @t1499 (= @t24 @t1973))))))))) % 2.52/2.77 (define @t2210 () (lambda @t30 (or (and @t154 (= @t24 (_ (_ tptp.c_Repl @t2209) @t1972))) @t2196))) % 2.52/2.77 (define @t2211 () (lambda @t23 (_ tptp.c_Eps_i @t2210))) % 2.52/2.77 (define @t2212 () (lambda @t33 (_ tptp.c_Union (_ @t156 @t2211)))) % 2.52/2.77 (define @t2213 () (= @t24 (_ @t32 @t1972))) % 2.52/2.77 (define @t2214 () (and @t154 @t2213)) % 2.52/2.77 (define @t2215 () (_ tptp.c_Union (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t2214 @t2196))))))) % 2.52/2.77 (define @t2216 () (lambda @t16 @t2215)) % 2.52/2.77 (define @t2217 () (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t2208 @t2196))))) % 2.52/2.77 (define @t2218 () (lambda @t33 (_ tptp.c_Union (_ @t156 @t2217)))) % 2.52/2.77 (define @t2219 () (and @t1499 (= @t437 @t1965))) % 2.52/2.77 (define @t2220 () (and @t154 (= @t437 @t1982))) % 2.52/2.77 (define @t2221 () (or @t2220 @t2219)) % 2.52/2.77 (define @t2222 () (lambda @t441 @t2221)) % 2.52/2.77 (define @t2223 () (lambda @t23 (_ tptp.c_Eps_i @t2222))) % 2.52/2.77 (define @t2224 () (= @t24 (_ (_ tptp.c_Repl (_ tptp.c_Power (_ tptp.c_Union (_ @t156 @t2223)))) @t1972))) % 2.52/2.77 (define @t2225 () (and @t154 @t2224)) % 2.52/2.77 (define @t2226 () (or @t2225 @t2196)) % 2.52/2.77 (define @t2227 () (lambda @t30 @t2226)) % 2.52/2.77 (define @t2228 () (and @t154 (= @t24 @t1982))) % 2.52/2.77 (define @t2229 () (_ tptp.c_Union (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t2228 @t1967))))))) % 2.52/2.77 (define @t2230 () (_ tptp.c_Power @t2229)) % 2.52/2.77 (define @t2231 () (lambda @t30 (or (and @t154 (= @t24 (_ (_ tptp.c_Repl @t2230) @t1972))) @t2196))) % 2.52/2.77 (define @t2232 () (lambda @t23 (_ tptp.c_Eps_i @t2231))) % 2.52/2.77 (define @t2233 () (lambda @t33 (_ tptp.c_Union (_ @t156 @t2232)))) % 2.52/2.77 (define @t2234 () (lambda @t33 (_ tptp.c_Union (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t2228 @t2196)))))))) % 2.52/2.77 (define @t2235 () (_ @t2216 @t55)) % 2.52/2.77 (define @t2236 () (= @t2194 true)) % 2.52/2.77 (define @t2237 () (lambda @t1583 (ite @t2236 @t1587 false))) % 2.52/2.77 (define @t2238 () (or @t502 @t2164)) % 2.52/2.77 (define @t2239 () (or @t2238 @t1803)) % 2.52/2.77 (define @t2240 () (forall @t585 @t2239)) % 2.52/2.77 (define @t2241 () (@list @t495 @t452)) % 2.52/2.77 (define @t2242 () (forall @t2241 @t2239)) % 2.52/2.77 (define @t2243 () (forall @t2241 @t2238)) % 2.52/2.77 (define @t2244 () (@var "BOUND_VARIABLE_26416" $$unsorted)) % 2.52/2.77 (define @t2245 () (or @t2243 @t1803)) % 2.52/2.77 (define @t2246 () (not (forall @t453 (or (not (tptp.c_In @t450 @t2244)) @t451)))) % 2.52/2.77 (define @t2247 () (@list @t24 @t2244)) % 2.52/2.77 (define @t2248 () (forall @t2247 (or @t625 (and @t2163 (or (and (_ @t1 (tptp.c_Union (tptp.c_Repl @t24 @t1700))) @t1443) @t2246))))) % 2.52/2.77 (define @t2249 () (=> @t1802 tptp.c_False)) % 2.52/2.77 (define @t2250 () (not @t2249)) % 2.52/2.77 (define @t2251 () (not @t2248)) % 2.52/2.77 (define @t2252 () (and @t2251 @t2249)) % 2.52/2.77 (define @t2253 () (forall @t23 (not @t2252))) % 2.52/2.77 (define @t2254 () (not @t2253)) % 2.52/2.77 (define @t2255 () (tptp.c_Repl @t19 @t1630)) % 2.52/2.77 (define @t2256 () (lambda @t23 (tptp.c_Repl @t1698 (lambda @t486 (tptp.c_Union (tptp.c_Repl @t398 (lambda @t485 (tptp.c_Eps_i (lambda @t484 (or (and @t480 (= @t478 @t2255)) @t1676)))))))))) % 2.52/2.77 (define @t2257 () (tptp.c_Repl @t24 @t2256)) % 2.52/2.77 (define @t2258 () (tptp.c_Union @t2257)) % 2.52/2.77 (define @t2259 () (_ @t1 @t2258)) % 2.52/2.77 (define @t2260 () (and @t2259 @t1443)) % 2.52/2.77 (define @t2261 () (or @t2260 @t2246)) % 2.52/2.77 (define @t2262 () (and @t2163 @t2261)) % 2.52/2.77 (define @t2263 () (or @t625 @t2262)) % 2.52/2.77 (define @t2264 () (forall @t2247 @t2263)) % 2.52/2.77 (define @t2265 () (not @t2264)) % 2.52/2.77 (define @t2266 () (and @t2265 @t1582)) % 2.52/2.77 (define @t2267 () (tptp.c_In @t503 @t11)) % 2.52/2.77 (define @t2268 () (tptp.c_In @t1749 @t11)) % 2.52/2.77 (define @t2269 () (or (not @t2267) tptp.c_False)) % 2.52/2.77 (define @t2270 () (not (forall @t567 (or (not (tptp.c_In @t565 @t11)) @t1796)))) % 2.52/2.77 (define @t2271 () (and @t537 (= @t503 @t535))) % 2.52/2.77 (define @t2272 () (or @t2271 @t1743)) % 2.52/2.77 (define @t2273 () (lambda @t539 @t2272)) % 2.52/2.77 (define @t2274 () (tptp.c_Eps_i @t2273)) % 2.52/2.77 (define @t2275 () (lambda @t540 @t2274)) % 2.52/2.77 (define @t2276 () (tptp.c_Repl @t398 @t2275)) % 2.52/2.77 (define @t2277 () (tptp.c_Union @t2276)) % 2.52/2.77 (define @t2278 () (tptp.c_In @t2277 @t11)) % 2.52/2.77 (define @t2279 () (not @t2278)) % 2.52/2.77 (define @t2280 () (or @t2279 tptp.c_False)) % 2.52/2.77 (define @t2281 () (and @t2280 @t2267)) % 2.52/2.77 (define @t2282 () (and @t2278 @t2269)) % 2.52/2.77 (define @t2283 () (or @t543 @t2282 @t2281)) % 2.52/2.77 (define @t2284 () (forall @t544 @t2283)) % 2.52/2.77 (define @t2285 () (not @t2284)) % 2.52/2.77 (define @t2286 () (or @t583 @t576 @t2270 @t2285)) % 2.52/2.77 (define @t2287 () (forall @t33 @t2286)) % 2.52/2.77 (define @t2288 () (not @t2287)) % 2.52/2.77 (define @t2289 () (tptp.c_In @t19 @t11)) % 2.52/2.77 (define @t2290 () (= @t19 @t535)) % 2.52/2.77 (define @t2291 () (and @t537 @t2290)) % 2.52/2.77 (define @t2292 () (or @t2291 @t1743)) % 2.52/2.77 (define @t2293 () (lambda @t539 @t2292)) % 2.52/2.77 (define @t2294 () (tptp.c_Eps_i @t2293)) % 2.52/2.77 (define @t2295 () (lambda @t540 @t2294)) % 2.52/2.77 (define @t2296 () (tptp.c_Repl @t398 @t2295)) % 2.52/2.77 (define @t2297 () (tptp.c_Union @t2296)) % 2.52/2.77 (define @t2298 () (tptp.c_In @t2297 @t11)) % 2.52/2.77 (define @t2299 () (not @t2289)) % 2.52/2.77 (define @t2300 () (tptp.c_In @t19 @t2)) % 2.52/2.77 (define @t2301 () (not @t2300)) % 2.52/2.77 (define @t2302 () (forall @t23 (or @t2301 (and @t2298 (or @t2299 tptp.c_False)) (and (or (not @t2298) tptp.c_False) @t2289)))) % 2.52/2.77 (define @t2303 () (not @t2302)) % 2.52/2.77 (define @t2304 () (tptp.c_In @t19 @t1795)) % 2.52/2.77 (define @t2305 () (forall @t23 (or @t2299 @t2304))) % 2.52/2.77 (define @t2306 () (not @t2305)) % 2.52/2.77 (define @t2307 () (or @t583 @t576 @t2306 @t2303)) % 2.52/2.77 (define @t2308 () (forall @t33 @t2307)) % 2.52/2.77 (define @t2309 () (not @t2308)) % 2.52/2.77 (define @t2310 () (lambda @t18 @t2309)) % 2.52/2.77 (define @t2311 () (= @t2265 true)) % 2.52/2.77 (define @t2312 () (lambda @t1583 (ite @t2311 @t1587 false))) % 2.52/2.77 (define @t2313 () (@list @t2244)) % 2.52/2.77 (define @t2314 () (forall @t2313 @t2263)) % 2.52/2.77 (define @t2315 () (forall @t2313 @t2246)) % 2.52/2.77 (define @t2316 () (or @t2260 @t2315)) % 2.52/2.77 (define @t2317 () (forall @t2313 @t2261)) % 2.52/2.77 (define @t2318 () (forall @t2313 @t2163)) % 2.52/2.77 (define @t2319 () (and @t2318 @t2317)) % 2.52/2.77 (define @t2320 () (forall @t2313 @t2262)) % 2.52/2.77 (define @t2321 () (or @t625 @t2320)) % 2.52/2.77 (define @t2322 () (not (tptp.c_In @t450 @t57))) % 2.52/2.77 (define @t2323 () (forall @t453 (or @t2322 @t451))) % 2.52/2.77 (define @t2324 () (not @t2323)) % 2.52/2.77 (define @t2325 () (forall @t58 @t2324)) % 2.52/2.77 (define @t2326 () (tptp.c_Repl @t477 @t1914)) % 2.52/2.77 (define @t2327 () (= @t478 @t2326)) % 2.52/2.77 (define @t2328 () (and @t1675 @t2327)) % 2.52/2.77 (define @t2329 () (tptp.c_Repl @t19 @t1923)) % 2.52/2.77 (define @t2330 () (= @t2329 @t478)) % 2.52/2.77 (define @t2331 () (and @t480 @t2330)) % 2.52/2.77 (define @t2332 () (or @t2331 @t2328)) % 2.52/2.77 (define @t2333 () (lambda @t484 @t2332)) % 2.52/2.77 (define @t2334 () (tptp.c_Eps_i @t2333)) % 2.52/2.77 (define @t2335 () (lambda @t485 @t2334)) % 2.52/2.77 (define @t2336 () (tptp.c_Repl @t398 @t2335)) % 2.52/2.77 (define @t2337 () (tptp.c_Union @t2336)) % 2.52/2.77 (define @t2338 () (lambda @t486 @t2337)) % 2.52/2.77 (define @t2339 () (tptp.c_Repl @t487 @t1914)) % 2.52/2.77 (define @t2340 () (= @t2339 @t488)) % 2.52/2.77 (define @t2341 () (and @t1689 @t2340)) % 2.52/2.77 (define @t2342 () (= @t1939 @t488)) % 2.52/2.77 (define @t2343 () (and @t490 @t2342)) % 2.52/2.77 (define @t2344 () (or @t2343 @t2341)) % 2.52/2.77 (define @t2345 () (lambda @t492 @t2344)) % 2.52/2.77 (define @t2346 () (tptp.c_Eps_i @t2345)) % 2.52/2.77 (define @t2347 () (lambda @t493 @t2346)) % 2.52/2.77 (define @t2348 () (tptp.c_Repl @t398 @t2347)) % 2.52/2.77 (define @t2349 () (tptp.c_Union @t2348)) % 2.52/2.77 (define @t2350 () (tptp.c_Repl @t2349 @t2338)) % 2.52/2.77 (define @t2351 () (lambda @t23 @t2350)) % 2.52/2.77 (define @t2352 () (tptp.c_Repl @t24 @t2351)) % 2.52/2.77 (define @t2353 () (tptp.c_Union @t2352)) % 2.52/2.77 (define @t2354 () (_ @t1 @t2353)) % 2.52/2.77 (define @t2355 () (and @t2354 @t1443)) % 2.52/2.77 (define @t2356 () (or @t2355 @t2325)) % 2.52/2.77 (define @t2357 () (and @t2163 @t2356)) % 2.52/2.77 (define @t2358 () (or @t625 @t2357)) % 2.52/2.77 (define @t2359 () (_ tptp.c_Repl @t477)) % 2.52/2.77 (define @t2360 () (_ @t2359 @t1963)) % 2.52/2.77 (define @t2361 () (= @t478 @t2360)) % 2.52/2.77 (define @t2362 () (_ @t153 @t479)) % 2.52/2.77 (define @t2363 () (=> @t2362 tptp.c_False)) % 2.52/2.77 (define @t2364 () (and @t2363 @t2361)) % 2.52/2.77 (define @t2365 () (_ tptp.c_Repl @t19)) % 2.52/2.77 (define @t2366 () (_ @t2365 @t1972)) % 2.52/2.77 (define @t2367 () (= @t2366 @t478)) % 2.52/2.77 (define @t2368 () (and @t2362 @t2367)) % 2.52/2.77 (define @t2369 () (or @t2368 @t2364)) % 2.52/2.77 (define @t2370 () (lambda @t484 @t2369)) % 2.52/2.77 (define @t2371 () (_ tptp.c_Eps_i @t2370)) % 2.52/2.77 (define @t2372 () (lambda @t485 @t2371)) % 2.52/2.77 (define @t2373 () (_ @t156 @t2372)) % 2.52/2.77 (define @t2374 () (_ tptp.c_Union @t2373)) % 2.52/2.77 (define @t2375 () (lambda @t486 @t2374)) % 2.52/2.77 (define @t2376 () (_ @t2068 @t1963)) % 2.52/2.77 (define @t2377 () (= @t2376 @t488)) % 2.52/2.77 (define @t2378 () (_ @t153 @t489)) % 2.52/2.77 (define @t2379 () (=> @t2378 tptp.c_False)) % 2.52/2.77 (define @t2380 () (and @t2379 @t2377)) % 2.52/2.77 (define @t2381 () (= @t1992 @t488)) % 2.52/2.77 (define @t2382 () (and @t2378 @t2381)) % 2.52/2.77 (define @t2383 () (or @t2382 @t2380)) % 2.52/2.77 (define @t2384 () (lambda @t492 @t2383)) % 2.52/2.77 (define @t2385 () (_ tptp.c_Eps_i @t2384)) % 2.52/2.77 (define @t2386 () (lambda @t493 @t2385)) % 2.52/2.77 (define @t2387 () (_ @t156 @t2386)) % 2.52/2.77 (define @t2388 () (_ tptp.c_Union @t2387)) % 2.52/2.77 (define @t2389 () (_ (_ tptp.c_Repl @t2388) @t2375)) % 2.52/2.77 (define @t2390 () (lambda @t23 @t2389)) % 2.52/2.77 (define @t2391 () (_ tptp.c_Repl @t24)) % 2.52/2.77 (define @t2392 () (_ @t2391 @t2390)) % 2.52/2.77 (define @t2393 () (_ tptp.c_Union @t2392)) % 2.52/2.77 (define @t2394 () (_ @t1 @t2393)) % 2.52/2.77 (define @t2395 () (and @t2394 @t1443)) % 2.52/2.77 (define @t2396 () (or @t2395 @t2325)) % 2.52/2.77 (define @t2397 () (and @t60 @t2396)) % 2.52/2.77 (define @t2398 () (or @t625 @t2397)) % 2.52/2.77 (define @t2399 () (not @t2396)) % 2.52/2.77 (define @t2400 () (=> @t60 @t2399)) % 2.52/2.77 (define @t2401 () (and @t2379 (= @t488 @t2376))) % 2.52/2.77 (define @t2402 () (and @t2378 (= @t488 @t1992))) % 2.52/2.77 (define @t2403 () (or @t2402 @t2401)) % 2.52/2.77 (define @t2404 () (lambda @t492 @t2403)) % 2.52/2.77 (define @t2405 () (lambda @t493 (_ tptp.c_Eps_i @t2404))) % 2.52/2.77 (define @t2406 () (lambda @t23 (_ (_ tptp.c_Repl (_ tptp.c_Union (_ @t156 @t2405))) @t2375))) % 2.52/2.77 (define @t2407 () (and (_ @t1 (_ tptp.c_Union (_ @t2391 @t2406))) @t1443)) % 2.52/2.77 (define @t2408 () (or @t2407 @t2325)) % 2.52/2.77 (define @t2409 () (not @t2408)) % 2.52/2.77 (define @t2410 () (=> @t60 @t2409)) % 2.52/2.77 (define @t2411 () (and @t624 @t2410)) % 2.52/2.77 (define @t2412 () (not @t2411)) % 2.52/2.77 (define @t2413 () (= @t24 @t2376)) % 2.52/2.77 (define @t2414 () (lambda @t30 (or (and @t2378 @t2207) (and @t2379 @t2413)))) % 2.52/2.77 (define @t2415 () (@list @t24)) % 2.52/2.77 (define @t2416 () (lambda @t493 (_ tptp.c_Eps_i @t2414))) % 2.52/2.77 (define @t2417 () (lambda @t23 (_ (_ tptp.c_Repl (_ tptp.c_Union (_ @t156 @t2416))) @t2375))) % 2.52/2.77 (define @t2418 () (_ @t1 (_ tptp.c_Union (_ @t2391 @t2417)))) % 2.52/2.77 (define @t2419 () (and @t2418 @t1443)) % 2.52/2.77 (define @t2420 () (or @t2419 @t2325)) % 2.52/2.77 (define @t2421 () (not @t2420)) % 2.52/2.77 (define @t2422 () (=> @t60 @t2421)) % 2.52/2.77 (define @t2423 () (and @t624 @t2422)) % 2.52/2.77 (define @t2424 () (not @t2423)) % 2.52/2.77 (define @t2425 () (forall @t30 @t2424)) % 2.52/2.77 (define @t2426 () (not @t2425)) % 2.52/2.77 (define @t2427 () (lambda @t1583 (and @t624 @t1582))) % 2.52/2.77 (define @t2428 () (or @t2419 @t2324)) % 2.52/2.77 (define @t2429 () (or @t2324 @t2419)) % 2.52/2.77 (define @t2430 () (=> @t2418 tptp.c_False)) % 2.52/2.77 (define @t2431 () (and @t2323 @t2430)) % 2.52/2.77 (define @t2432 () (forall @t58 (not @t2431))) % 2.52/2.77 (define @t2433 () (not @t2432)) % 2.52/2.77 (define @t2434 () (_ tptp.c_Union (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t2208 (and @t1499 @t2413)))))))) % 2.52/2.77 (define @t2435 () (lambda @t23 (_ (_ tptp.c_Repl @t2434) @t2375))) % 2.52/2.77 (define @t2436 () (lambda @t23 (_ @t38 @t2375))) % 2.52/2.77 (define @t2437 () (lambda @t33 (_ tptp.c_Union (_ @t2391 @t2436)))) % 2.52/2.77 (define @t2438 () (_ @t2391 @t1963)) % 2.52/2.77 (define @t2439 () (lambda @t30 (_ tptp.c_Union (_ @t156 (lambda @t485 (_ tptp.c_Eps_i (lambda @t484 (or @t2368 (and @t2363 (= @t478 @t2438)))))))))) % 2.52/2.77 (define @t2440 () (lambda @t23 (_ @t38 @t2439))) % 2.52/2.77 (define @t2441 () (lambda @t16 (_ tptp.c_Union (_ @t32 @t2440)))) % 2.52/2.77 (define @t2442 () (= @t2323 true)) % 2.52/2.77 (define @t2443 () (lambda @t1583 (ite @t2442 @t1587 false))) % 2.52/2.77 (define @t2444 () (forall @t23 (or (not (tptp.c_In @t19 @t57)) @t2300))) % 2.52/2.77 (define @t2445 () (lambda @t33 @t2444)) % 2.52/2.77 (define @t2446 () (forall @t23 (or @t2299 @t2300))) % 2.52/2.77 (define @t2447 () (lambda @t16 @t2446)) % 2.52/2.77 (define @t2448 () (_ @t2447 @t57)) % 2.52/2.77 (define @t2449 () (_ @t2216 (_ tptp.c_Power (_ @t2235 tptp.c_Empty)))) % 2.52/2.77 (define @t2450 () (exists @t58 (_ (_ @t1593 (_ @t2448 @t19)) (_ @t79 (_ @t1 (_ (_ @t2441 @t24) (_ @t2449 @t55))))))) % 2.52/2.77 (define @t2451 () (=> @t60 @t2450)) % 2.52/2.77 (define @t2452 () (= @t624 true)) % 2.52/2.77 (define @t2453 () (lambda @t1583 (ite @t2452 @t1587 false))) % 2.52/2.77 (define @t2454 () (forall @t23 (or (not (tptp.c_In @t19 @t24)) @t2300))) % 2.52/2.77 (define @t2455 () (lambda @t33 @t2454)) % 2.52/2.77 (define @t2456 () (_ @t2447 @t24)) % 2.52/2.77 (define @t2457 () (_ @t1593 (_ @t2456 @t19))) % 2.52/2.77 (define @t2458 () (exists @t30 (_ @t2457 @t2451))) % 2.52/2.77 (define @t2459 () (exists @t23 (_ (_ @t1593 @t2458) (_ @t79 (_ @t2310 @t19))))) % 2.52/2.77 (define @t2460 () (not @t66)) % 2.52/2.77 (define @t2461 () (or @t2460 @t2174)) % 2.52/2.77 (define @t2462 () (and @t428 @t2170)) % 2.52/2.77 (define @t2463 () (lambda @t23 (tptp.c_Eps_i (lambda @t599 (or @t2462 (and @t1478 @t2169)))))) % 2.52/2.77 (define @t2464 () (tptp.c_Repl @t398 @t2463)) % 2.52/2.77 (define @t2465 () (tptp.c_Union @t2464)) % 2.52/2.77 (define @t2466 () (tptp.c_In @t588 @t2465)) % 2.52/2.77 (define @t2467 () (not @t2466)) % 2.52/2.77 (define @t2468 () (or @t2467 @t589)) % 2.52/2.77 (define @t2469 () (and @t2468 @t1443)) % 2.52/2.77 (define @t2470 () (tptp.c_In @t587 @t2465)) % 2.52/2.77 (define @t2471 () (not @t2470)) % 2.52/2.77 (define @t2472 () (tptp.c_In @t608 @t2465)) % 2.52/2.77 (define @t2473 () (not @t2472)) % 2.52/2.77 (define @t2474 () (or @t2473 @t609)) % 2.52/2.77 (define @t2475 () (and @t2474 @t1443)) % 2.52/2.77 (define @t2476 () (forall @t23 (or @t2301 (tptp.c_In @t19 @t2173)))) % 2.52/2.77 (define @t2477 () (not @t2476)) % 2.52/2.77 (define @t2478 () (or @t2477 @t2475 @t611 @t1828)) % 2.52/2.77 (define @t2479 () (forall @t621 @t2478)) % 2.52/2.77 (define @t2480 () (not @t2479)) % 2.52/2.77 (define @t2481 () (and @t2480 @t1443)) % 2.52/2.77 (define @t2482 () (or @t625 @t2481 @t2471 @t2469)) % 2.52/2.77 (define @t2483 () (forall @t627 @t2482)) % 2.52/2.77 (define @t2484 () (not @t2483)) % 2.52/2.77 (define @t2485 () (=> @t66 @t2484)) % 2.52/2.77 (define @t2486 () (or @t2471 @t2469)) % 2.52/2.77 (define @t2487 () (or @t625 @t2486 @t2481)) % 2.52/2.77 (define @t2488 () (forall @t627 @t2487)) % 2.52/2.77 (define @t2489 () (@list @t587 @t588)) % 2.52/2.77 (define @t2490 () (forall @t2489 @t2487)) % 2.52/2.77 (define @t2491 () (forall @t2489 @t2486)) % 2.52/2.77 (define @t2492 () (@var "BOUND_VARIABLE_7890" $$unsorted)) % 2.52/2.77 (define @t2493 () (or @t625 @t2491 @t2481)) % 2.52/2.77 (define @t2494 () (tptp.c_Power @t2)) % 2.52/2.77 (define @t2495 () (tptp.c_In @t2492 @t2494)) % 2.52/2.77 (define @t2496 () (@list @t2 @t2492)) % 2.52/2.77 (define @t2497 () (forall @t2496 (or (not (tptp.c_In @t2 @t2465)) (and (or (not (tptp.c_In @t2492 @t2465)) @t2495) @t1443)))) % 2.52/2.77 (define @t2498 () (=> @t2480 tptp.c_False)) % 2.52/2.77 (define @t2499 () (not @t2498)) % 2.52/2.77 (define @t2500 () (not @t2497)) % 2.52/2.77 (define @t2501 () (not @t2500)) % 2.52/2.77 (define @t2502 () (or @t625 @t2501 @t2499)) % 2.52/2.77 (define @t2503 () (and @t2500 @t2498)) % 2.52/2.77 (define @t2504 () (and @t624 @t2500 @t2498)) % 2.52/2.77 (define @t2505 () (forall @t30 (not @t2504))) % 2.52/2.77 (define @t2506 () (not @t2505)) % 2.52/2.77 (define @t2507 () (and @t624 @t2503)) % 2.52/2.77 (define @t2508 () (= @t2167 @t505)) % 2.52/2.77 (define @t2509 () (and @t1707 @t2508)) % 2.52/2.77 (define @t2510 () (and @t508 @t2508)) % 2.52/2.77 (define @t2511 () (or @t2510 @t2509)) % 2.52/2.77 (define @t2512 () (lambda @t511 @t2511)) % 2.52/2.77 (define @t2513 () (tptp.c_Eps_i @t2512)) % 2.52/2.77 (define @t2514 () (lambda @t512 @t2513)) % 2.52/2.77 (define @t2515 () (tptp.c_Repl @t398 @t2514)) % 2.52/2.77 (define @t2516 () (= @t593 @t2515)) % 2.52/2.77 (define @t2517 () (and @t1478 @t2516)) % 2.52/2.77 (define @t2518 () (or @t2462 @t2517)) % 2.52/2.77 (define @t2519 () (lambda @t599 @t2518)) % 2.52/2.77 (define @t2520 () (tptp.c_Eps_i @t2519)) % 2.52/2.77 (define @t2521 () (lambda @t23 @t2520)) % 2.52/2.77 (define @t2522 () (tptp.c_Repl @t398 @t2521)) % 2.52/2.77 (define @t2523 () (tptp.c_Union @t2522)) % 2.52/2.77 (define @t2524 () (tptp.c_In @t608 @t2523)) % 2.52/2.77 (define @t2525 () (not @t2524)) % 2.52/2.77 (define @t2526 () (or @t2525 @t609)) % 2.52/2.77 (define @t2527 () (and @t2526 @t1443)) % 2.52/2.77 (define @t2528 () (or @t2477 @t2527 @t611 @t1828)) % 2.52/2.77 (define @t2529 () (= @t26 @t505)) % 2.52/2.77 (define @t2530 () (_ @t153 @t507)) % 2.52/2.77 (define @t2531 () (=> @t2530 tptp.c_False)) % 2.52/2.77 (define @t2532 () (and @t2531 @t2529)) % 2.52/2.77 (define @t2533 () (and @t2530 @t2529)) % 2.52/2.77 (define @t2534 () (or @t2533 @t2532)) % 2.52/2.77 (define @t2535 () (lambda @t511 @t2534)) % 2.52/2.77 (define @t2536 () (_ tptp.c_Eps_i @t2535)) % 2.52/2.77 (define @t2537 () (lambda @t512 @t2536)) % 2.52/2.77 (define @t2538 () (_ @t156 @t2537)) % 2.52/2.77 (define @t2539 () (= @t593 @t2538)) % 2.52/2.77 (define @t2540 () (and @t1499 @t2539)) % 2.52/2.77 (define @t2541 () (= @t26 @t593)) % 2.52/2.77 (define @t2542 () (and @t154 @t2541)) % 2.52/2.77 (define @t2543 () (or @t2542 @t2540)) % 2.52/2.77 (define @t2544 () (lambda @t599 @t2543)) % 2.52/2.77 (define @t2545 () (_ tptp.c_Eps_i @t2544)) % 2.52/2.77 (define @t2546 () (lambda @t23 @t2545)) % 2.52/2.77 (define @t2547 () (_ @t156 @t2546)) % 2.52/2.77 (define @t2548 () (_ tptp.c_Union @t2547)) % 2.52/2.77 (define @t2549 () (tptp.c_In @t608 @t2548)) % 2.52/2.77 (define @t2550 () (not @t2549)) % 2.52/2.77 (define @t2551 () (or @t2550 @t609)) % 2.52/2.77 (define @t2552 () (and @t2551 @t1443)) % 2.52/2.77 (define @t2553 () (or @t2477 @t2552 @t611 @t1828)) % 2.52/2.77 (define @t2554 () (and @t1833 @t2516)) % 2.52/2.77 (define @t2555 () (or @t2172 @t2554)) % 2.52/2.77 (define @t2556 () (lambda @t599 @t2555)) % 2.52/2.77 (define @t2557 () (tptp.c_Eps_i @t2556)) % 2.52/2.77 (define @t2558 () (lambda @t615 @t2557)) % 2.52/2.77 (define @t2559 () (tptp.c_Repl @t398 @t2558)) % 2.52/2.77 (define @t2560 () (tptp.c_Union @t2559)) % 2.52/2.77 (define @t2561 () (tptp.c_In @t19 @t2560)) % 2.52/2.77 (define @t2562 () (or @t2301 @t2561)) % 2.52/2.77 (define @t2563 () (_ @t153 @t612)) % 2.52/2.77 (define @t2564 () (=> @t2563 tptp.c_False)) % 2.52/2.77 (define @t2565 () (and @t2564 @t2539)) % 2.52/2.77 (define @t2566 () (and @t2563 @t2541)) % 2.52/2.77 (define @t2567 () (or @t2566 @t2565)) % 2.52/2.77 (define @t2568 () (lambda @t599 @t2567)) % 2.52/2.77 (define @t2569 () (_ tptp.c_Eps_i @t2568)) % 2.52/2.77 (define @t2570 () (lambda @t615 @t2569)) % 2.52/2.77 (define @t2571 () (_ @t156 @t2570)) % 2.52/2.77 (define @t2572 () (_ tptp.c_Union @t2571)) % 2.52/2.77 (define @t2573 () (tptp.c_In @t19 @t2572)) % 2.52/2.77 (define @t2574 () (or @t2301 @t2573)) % 2.52/2.77 (define @t2575 () (tptp.c_In @t19 @t2548)) % 2.52/2.77 (define @t2576 () (or @t2301 @t2575)) % 2.52/2.77 (define @t2577 () (forall @t23 @t2576)) % 2.52/2.77 (define @t2578 () (not @t2577)) % 2.52/2.77 (define @t2579 () (or @t2578 @t2552 @t611 @t1828)) % 2.52/2.77 (define @t2580 () (forall @t621 @t2579)) % 2.52/2.77 (define @t2581 () (not @t2580)) % 2.52/2.77 (define @t2582 () (=> @t2581 tptp.c_False)) % 2.52/2.77 (define @t2583 () (tptp.c_In @t2492 @t2523)) % 2.52/2.77 (define @t2584 () (not @t2583)) % 2.52/2.77 (define @t2585 () (or @t2584 @t2495)) % 2.52/2.77 (define @t2586 () (and @t2585 @t1443)) % 2.52/2.77 (define @t2587 () (tptp.c_In @t2 @t2523)) % 2.52/2.77 (define @t2588 () (not @t2587)) % 2.52/2.77 (define @t2589 () (or @t2588 @t2586)) % 2.52/2.77 (define @t2590 () (tptp.c_In @t2492 @t2548)) % 2.52/2.77 (define @t2591 () (not @t2590)) % 2.52/2.77 (define @t2592 () (or @t2591 @t2495)) % 2.52/2.77 (define @t2593 () (and @t2592 @t1443)) % 2.52/2.77 (define @t2594 () (tptp.c_In @t2 @t2548)) % 2.52/2.77 (define @t2595 () (not @t2594)) % 2.52/2.77 (define @t2596 () (or @t2595 @t2593)) % 2.52/2.77 (define @t2597 () (forall @t2496 @t2596)) % 2.52/2.77 (define @t2598 () (not @t2597)) % 2.52/2.77 (define @t2599 () (and @t2598 @t2582)) % 2.52/2.77 (define @t2600 () (or (not (tptp.c_In @t608 @t11)) @t609)) % 2.52/2.77 (define @t2601 () (and @t2600 @t1443)) % 2.52/2.77 (define @t2602 () (forall @t23 (or @t2301 @t2289))) % 2.52/2.77 (define @t2603 () (not @t2602)) % 2.52/2.77 (define @t2604 () (or @t2603 @t2601 @t611 @t1828)) % 2.52/2.77 (define @t2605 () (not (forall @t621 @t2604))) % 2.52/2.77 (define @t2606 () (=> @t2605 tptp.c_False)) % 2.52/2.77 (define @t2607 () (not (tptp.c_In @t2492 @t11))) % 2.52/2.77 (define @t2608 () (or @t2607 @t2495)) % 2.52/2.77 (define @t2609 () (and @t2608 @t1443)) % 2.52/2.77 (define @t2610 () (tptp.c_In @t2 @t11)) % 2.52/2.77 (define @t2611 () (not @t2610)) % 2.52/2.77 (define @t2612 () (or @t2611 @t2609)) % 2.52/2.77 (define @t2613 () (forall @t2496 @t2612)) % 2.52/2.77 (define @t2614 () (not @t2613)) % 2.52/2.77 (define @t2615 () (and @t2614 @t2606)) % 2.52/2.77 (define @t2616 () (lambda @t18 @t2615)) % 2.52/2.77 (define @t2617 () (and @t1499 (= @t2538 @t593))) % 2.52/2.77 (define @t2618 () (or @t2542 @t2617)) % 2.52/2.77 (define @t2619 () (lambda @t599 @t2618)) % 2.52/2.77 (define @t2620 () (lambda @t23 (_ tptp.c_Eps_i @t2619))) % 2.52/2.77 (define @t2621 () (= @t11 @t505)) % 2.52/2.77 (define @t2622 () (_ @t156 (lambda @t512 (_ tptp.c_Eps_i (lambda @t511 (or (and @t2530 @t2621) (and @t2531 @t2621))))))) % 2.52/2.77 (define @t2623 () (and @t154 (= @t11 @t593))) % 2.52/2.77 (define @t2624 () (and @t1499 (= @t593 @t2622))) % 2.52/2.77 (define @t2625 () (or @t2623 @t2624)) % 2.52/2.77 (define @t2626 () (lambda @t599 @t2625)) % 2.52/2.77 (define @t2627 () (lambda @t23 (_ tptp.c_Eps_i @t2626))) % 2.52/2.77 (define @t2628 () (lambda @t30 (or @t1552 (and @t1499 (= @t24 @t2622))))) % 2.52/2.77 (define @t2629 () (lambda @t23 (_ tptp.c_Eps_i @t2628))) % 2.52/2.77 (define @t2630 () (lambda @t18 (_ tptp.c_Union (_ @t156 @t2629)))) % 2.52/2.77 (define @t2631 () (exists @t30 (_ @t2457 (_ @t2616 (_ @t2630 @t26))))) % 2.52/2.77 (define @t2632 () (=> @t66 @t2631)) % 2.52/2.77 (define @t2633 () (forall @t23 @t2632)) % 2.52/2.77 (define @t2634 () (tptp.c_In @t577 @t69)) % 2.52/2.77 (define @t2635 () (tptp.c_In @t2 @t69)) % 2.52/2.77 (define @t2636 () (not @t2635)) % 2.52/2.77 (define @t2637 () (or @t2636 @t2029 @t2634)) % 2.52/2.77 (define @t2638 () (forall @t2030 @t2637)) % 2.52/2.77 (define @t2639 () (tptp.c_In @t577 @t11)) % 2.52/2.77 (define @t2640 () (or @t2611 @t2029 @t2639)) % 2.52/2.77 (define @t2641 () (forall @t2030 @t2640)) % 2.52/2.77 (define @t2642 () (lambda @t18 @t2641)) % 2.52/2.77 (define @t2643 () (_ @t2642 @t69)) % 2.52/2.77 (define @t2644 () (=> @t2643 @t2633)) % 2.52/2.77 (define @t2645 () (and @t1478 (= @t656 @t1626))) % 2.52/2.77 (define @t2646 () (and @t428 (= @t656 @t1857))) % 2.52/2.77 (define @t2647 () (or @t2646 @t2645)) % 2.52/2.77 (define @t2648 () (lambda @t657 @t2647)) % 2.52/2.77 (define @t2649 () (tptp.c_Eps_i @t2648)) % 2.52/2.77 (define @t2650 () (lambda @t23 @t2649)) % 2.52/2.77 (define @t2651 () (tptp.c_Repl @t398 @t2650)) % 2.52/2.77 (define @t2652 () (tptp.c_Union @t2651)) % 2.52/2.77 (define @t2653 () (_ @t25 @t2652)) % 2.52/2.77 (define @t2654 () (tptp.c_In @t658 @t2653)) % 2.52/2.77 (define @t2655 () (not @t2654)) % 2.52/2.77 (define @t2656 () (or @t2180 @t2655)) % 2.52/2.77 (define @t2657 () (forall @t662 @t2656)) % 2.52/2.77 (define @t2658 () (not @t2657)) % 2.52/2.77 (define @t2659 () (=> @t2658 tptp.c_False)) % 2.52/2.77 (define @t2660 () (and @t2659 @t635)) % 2.52/2.77 (define @t2661 () (and @t1499 (= @t697 @t1965))) % 2.52/2.77 (define @t2662 () (and @t154 (= @t697 @t2079))) % 2.52/2.77 (define @t2663 () (or @t2662 @t2661)) % 2.52/2.77 (define @t2664 () (lambda @t698 @t2663)) % 2.52/2.77 (define @t2665 () (lambda @t23 (_ tptp.c_Eps_i @t2664))) % 2.52/2.77 (define @t2666 () (_ @t25 (_ tptp.c_Union (_ @t156 @t2665)))) % 2.52/2.77 (define @t2667 () (and @t2183 (_ @t167 @t2666))) % 2.52/2.77 (define @t2668 () (lambda @t58 @t2667)) % 2.52/2.77 (define @t2669 () (= @t700 (_ tptp.c_Eps_i @t2668))) % 2.52/2.77 (define @t2670 () (_ @t2095 @t2666)) % 2.52/2.77 (define @t2671 () (=> @t2670 tptp.c_False)) % 2.52/2.77 (define @t2672 () (and @t2671 @t2669)) % 2.52/2.77 (define @t2673 () (and @t2670 @t708)) % 2.52/2.77 (define @t2674 () (or @t2673 @t2672)) % 2.52/2.77 (define @t2675 () (lambda @t709 @t2674)) % 2.52/2.77 (define @t2676 () (lambda @t710 (_ tptp.c_Eps_i @t2675))) % 2.52/2.77 (define @t2677 () (= @t24 (_ @t2185 @t2676))) % 2.52/2.77 (define @t2678 () (and @t2658 @t2677)) % 2.52/2.77 (define @t2679 () (or @t2678 @t2660)) % 2.52/2.77 (define @t2680 () (lambda @t30 @t2679)) % 2.52/2.77 (define @t2681 () (not (forall @t662 (or @t2180 (not (tptp.c_In @t658 (_ @t25 (tptp.c_Union (tptp.c_Repl @t398 (lambda @t23 (tptp.c_Eps_i (lambda @t30 (or (and @t428 (= @t24 @t1857)) @t1628))))))))))))) % 2.52/2.77 (define @t2682 () (= @t24 @t2079)) % 2.52/2.77 (define @t2683 () (and @t154 @t2682)) % 2.52/2.77 (define @t2684 () (or @t2683 @t1967)) % 2.52/2.77 (define @t2685 () (lambda @t30 @t2684)) % 2.52/2.77 (define @t2686 () (_ tptp.c_Eps_i @t2685)) % 2.52/2.77 (define @t2687 () (lambda @t23 @t2686)) % 2.52/2.77 (define @t2688 () (_ @t156 @t2687)) % 2.52/2.77 (define @t2689 () (_ tptp.c_Union @t2688)) % 2.52/2.77 (define @t2690 () (_ @t25 @t2689)) % 2.52/2.77 (define @t2691 () (_ @t2095 @t2690)) % 2.52/2.77 (define @t2692 () (= @t24 (_ @t2185 (lambda @t710 (_ tptp.c_Eps_i (lambda @t709 (or (and @t2691 @t708) (and (=> @t2691 tptp.c_False) (= @t700 (_ tptp.c_Eps_i (lambda @t58 (and @t2183 (_ @t167 @t2690))))))))))))) % 2.52/2.77 (define @t2693 () (= @t24 @t2034)) % 2.52/2.77 (define @t2694 () (and @t428 @t2693)) % 2.52/2.77 (define @t2695 () (or @t2694 @t1917)) % 2.52/2.77 (define @t2696 () (lambda @t30 @t2695)) % 2.52/2.77 (define @t2697 () (tptp.c_Eps_i @t2696)) % 2.52/2.77 (define @t2698 () (lambda @t23 @t2697)) % 2.52/2.77 (define @t2699 () (tptp.c_Repl @t398 @t2698)) % 2.52/2.77 (define @t2700 () (tptp.c_Union @t2699)) % 2.52/2.77 (define @t2701 () (_ @t25 @t2700)) % 2.52/2.77 (define @t2702 () (tptp.c_In @t658 @t2701)) % 2.52/2.77 (define @t2703 () (not @t2702)) % 2.52/2.77 (define @t2704 () (or @t2180 @t2703)) % 2.52/2.77 (define @t2705 () (tptp.c_In @t658 @t2690)) % 2.52/2.77 (define @t2706 () (not @t2705)) % 2.52/2.77 (define @t2707 () (or @t2180 @t2706)) % 2.52/2.77 (define @t2708 () (forall @t662 @t2707)) % 2.52/2.77 (define @t2709 () (not @t2708)) % 2.52/2.77 (define @t2710 () (=> @t2709 tptp.c_False)) % 2.52/2.77 (define @t2711 () (and @t2710 @t635)) % 2.52/2.77 (define @t2712 () (and @t2709 @t2692)) % 2.52/2.77 (define @t2713 () (or @t2712 @t2711)) % 2.52/2.77 (define @t2714 () (lambda @t30 @t2713)) % 2.52/2.77 (define @t2715 () (tptp.c_In @t658 @t2)) % 2.52/2.77 (define @t2716 () (not @t2715)) % 2.52/2.77 (define @t2717 () (not (forall @t662 (or @t2180 @t2716)))) % 2.52/2.77 (define @t2718 () (_ @t167 @t2)) % 2.52/2.77 (define @t2719 () (_ @t2095 @t2)) % 2.52/2.77 (define @t2720 () (=> @t2719 tptp.c_False)) % 2.52/2.77 (define @t2721 () (and @t2719 @t708)) % 2.52/2.77 (define @t2722 () (= @t24 (_ @t2185 (lambda @t710 (_ tptp.c_Eps_i (lambda @t709 (or @t2721 (and @t2720 (= @t700 (_ tptp.c_Eps_i (lambda @t58 (and @t2183 @t2718)))))))))))) % 2.52/2.77 (define @t2723 () (lambda @t33 (_ tptp.c_Union (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t2683 @t2196)))))))) % 2.52/2.77 (define @t2724 () (_ @t2216 @t71)) % 2.52/2.77 (define @t2725 () (tptp.c_In @t658 @t72)) % 2.52/2.77 (define @t2726 () (not @t2725)) % 2.52/2.77 (define @t2727 () (or @t2726 @t2716)) % 2.52/2.77 (define @t2728 () (forall @t662 @t2727)) % 2.52/2.77 (define @t2729 () (not @t2728)) % 2.52/2.77 (define @t2730 () (=> @t2729 tptp.c_False)) % 2.52/2.77 (define @t2731 () (and @t2730 @t635)) % 2.52/2.77 (define @t2732 () (and @t2729 @t2722)) % 2.52/2.77 (define @t2733 () (or @t2732 @t2731)) % 2.52/2.77 (define @t2734 () (lambda @t30 @t2733)) % 2.52/2.77 (define @t2735 () (lambda @t33 (_ tptp.c_Eps_i @t2734))) % 2.52/2.77 (define @t2736 () (not (tptp.c_In @t658 @t11))) % 2.52/2.77 (define @t2737 () (not (forall @t662 (or @t2736 @t2716)))) % 2.52/2.77 (define @t2738 () (_ (lambda @t16 (_ tptp.c_Eps_i (lambda @t30 (or (and @t2737 (= @t24 (_ @t32 (lambda @t710 (_ tptp.c_Eps_i (lambda @t709 (or @t2721 (and @t2720 (= @t700 (_ tptp.c_Eps_i (lambda @t58 (and @t168 @t2718)))))))))))) (and (=> @t2737 tptp.c_False) @t635))))) @t72)) % 2.52/2.77 (define @t2739 () (=> (_ @t1 (_ @t25 (_ @t2738 (_ @t25 (_ @t2724 tptp.c_Empty))))) @t2644)) % 2.52/2.77 (define @t2740 () (=> @t2739 @t2459)) % 2.52/2.77 (define @t2741 () (forall @t75 (_ (_ @t1593 @t2740) (_ @t79 (_ @t1 (_ @t25 (_ @t25 (_ @t25 (_ (_ @t2216 (_ @t2449 @t54)) tptp.c_Empty))))))))) % 2.52/2.77 (define @t2742 () (_ @t38 @t1963)) % 2.52/2.77 (define @t2743 () (= @t24 @t2742)) % 2.52/2.77 (define @t2744 () (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t2214 (and @t1499 @t2743)))))) % 2.52/2.77 (define @t2745 () (_ tptp.c_Union (_ @t156 @t2744))) % 2.52/2.77 (define @t2746 () (lambda @t33 @t2745)) % 2.52/2.77 (define @t2747 () (lambda @t16 @t2745)) % 2.52/2.77 (define @t2748 () (and @t1499 (= @t238 @t24))) % 2.52/2.77 (define @t2749 () (or @t2214 @t2748)) % 2.52/2.77 (define @t2750 () (lambda @t30 @t2749)) % 2.52/2.77 (define @t2751 () (lambda @t23 (_ tptp.c_Eps_i @t2750))) % 2.52/2.77 (define @t2752 () (lambda @t33 (_ tptp.c_Union (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t2214 @t1541)))))))) % 2.52/2.77 (define @t2753 () (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or (and @t154 (= @t24 (_ @t32 (lambda @t431 (_ @t1970 @t233))))) @t1541))))) % 2.52/2.77 (define @t2754 () (_ @t2365 @t233)) % 2.52/2.77 (define @t2755 () (_ @t32 (lambda @t23 @t2754))) % 2.52/2.77 (define @t2756 () (and @t154 (= @t2755 @t24))) % 2.52/2.77 (define @t2757 () (or @t2756 @t1541)) % 2.52/2.77 (define @t2758 () (lambda @t30 @t2757)) % 2.52/2.77 (define @t2759 () (lambda @t23 (_ tptp.c_Eps_i @t2758))) % 2.52/2.77 (define @t2760 () (lambda @t33 (_ tptp.c_Union (_ @t156 @t2759)))) % 2.52/2.77 (define @t2761 () (_ @t234 @t19)) % 2.52/2.77 (define @t2762 () (and @t2305 @t2302)) % 2.52/2.77 (define @t2763 () (and @t582 @t575 @t2305 @t2302)) % 2.52/2.77 (define @t2764 () (forall @t33 (not @t2763))) % 2.52/2.77 (define @t2765 () (not @t2764)) % 2.52/2.77 (define @t2766 () (and @t2762 @t582 @t575)) % 2.52/2.77 (define @t2767 () (and @t1582 @t582 @t575)) % 2.52/2.77 (define @t2768 () (@var "BOUND_VARIABLE_18397" $$unsorted)) % 2.52/2.77 (define @t2769 () (tptp.c_In @t19 @t2768)) % 2.52/2.77 (define @t2770 () (tptp.c_In @t2297 @t2768)) % 2.52/2.77 (define @t2771 () (and (or (not @t2770) tptp.c_False) @t2769)) % 2.52/2.77 (define @t2772 () (not @t2769)) % 2.52/2.77 (define @t2773 () (and @t2770 (or @t2772 tptp.c_False))) % 2.52/2.77 (define @t2774 () (lambda (@list @t2768) (and (forall @t23 (or @t2772 @t2304)) (forall @t23 (or @t2301 @t2773 @t2771))))) % 2.52/2.77 (define @t2775 () (and @t561 @t1551)) % 2.52/2.77 (define @t2776 () (tptp.c_In @t19 (tptp.c_Union (tptp.c_Repl @t398 (lambda @t564 (tptp.c_Eps_i (lambda @t30 (or @t2775 (and @t1788 (= @t24 (tptp.c_Repl @t11 @t1785))))))))))) % 2.52/2.77 (define @t2777 () (tptp.c_In @t2297 @t2)) % 2.52/2.77 (define @t2778 () (forall @t23 (or @t2299 (and @t2777 (or @t2301 tptp.c_False)) (and (or (not @t2777) tptp.c_False) @t2300)))) % 2.52/2.77 (define @t2779 () (forall @t23 (or @t2301 @t2776))) % 2.52/2.77 (define @t2780 () (and @t2779 @t2778)) % 2.52/2.77 (define @t2781 () (lambda @t16 @t2780)) % 2.52/2.77 (define @t2782 () (@list @t2)) % 2.52/2.77 (define @t2783 () (and @t582 @t575)) % 2.52/2.77 (define @t2784 () (= @t2783 true)) % 2.52/2.77 (define @t2785 () (lambda @t1583 (ite @t2784 @t1587 false))) % 2.52/2.77 (define @t2786 () (tptp.c_In @t569 @t2)) % 2.52/2.77 (define @t2787 () (not (tptp.c_In @t571 @t2))) % 2.52/2.77 (define @t2788 () (or @t2611 @t2787 @t572 @t2786)) % 2.52/2.77 (define @t2789 () (@list @t2 @t571 @t569)) % 2.52/2.77 (define @t2790 () (forall @t2789 @t2788)) % 2.52/2.77 (define @t2791 () (and @t2641 @t2790)) % 2.52/2.77 (define @t2792 () (lambda @t18 @t2791)) % 2.52/2.77 (define @t2793 () (and @t554 (= @t555 @t552))) % 2.52/2.77 (define @t2794 () (or @t2793 @t1778)) % 2.52/2.77 (define @t2795 () (lambda @t557 @t2794)) % 2.52/2.77 (define @t2796 () (tptp.c_Eps_i @t2795)) % 2.52/2.77 (define @t2797 () (lambda @t558 @t2796)) % 2.52/2.77 (define @t2798 () (tptp.c_Repl @t398 @t2797)) % 2.52/2.77 (define @t2799 () (tptp.c_Union @t2798)) % 2.52/2.77 (define @t2800 () (lambda @t559 @t2799)) % 2.52/2.77 (define @t2801 () (tptp.c_Repl @t11 @t2800)) % 2.52/2.77 (define @t2802 () (= @t24 @t2801)) % 2.52/2.77 (define @t2803 () (and @t1788 @t2802)) % 2.52/2.77 (define @t2804 () (or @t2775 @t2803)) % 2.52/2.77 (define @t2805 () (lambda @t30 @t2804)) % 2.52/2.77 (define @t2806 () (tptp.c_Eps_i @t2805)) % 2.52/2.77 (define @t2807 () (lambda @t564 @t2806)) % 2.52/2.77 (define @t2808 () (tptp.c_Repl @t398 @t2807)) % 2.52/2.77 (define @t2809 () (tptp.c_Union @t2808)) % 2.52/2.77 (define @t2810 () (tptp.c_In @t19 @t2809)) % 2.52/2.77 (define @t2811 () (or @t2301 @t2810)) % 2.52/2.77 (define @t2812 () (forall @t23 @t2811)) % 2.52/2.77 (define @t2813 () (and @t2812 @t1582)) % 2.52/2.77 (define @t2814 () (= @t2 @t552)) % 2.52/2.77 (define @t2815 () (and @t554 @t2814)) % 2.52/2.77 (define @t2816 () (lambda @t33 (tptp.c_Union (tptp.c_Repl @t398 (lambda @t558 (tptp.c_Eps_i (lambda @t557 (or @t2815 @t1778)))))))) % 2.52/2.77 (define @t2817 () (tptp.c_Repl @t11 @t2816)) % 2.52/2.77 (define @t2818 () (= @t24 @t2817)) % 2.52/2.77 (define @t2819 () (and @t1788 @t2818)) % 2.52/2.77 (define @t2820 () (or @t2775 @t2819)) % 2.52/2.77 (define @t2821 () (lambda @t30 @t2820)) % 2.52/2.77 (define @t2822 () (tptp.c_Eps_i @t2821)) % 2.52/2.77 (define @t2823 () (lambda @t564 @t2822)) % 2.52/2.77 (define @t2824 () (tptp.c_Repl @t398 @t2823)) % 2.52/2.77 (define @t2825 () (tptp.c_Union @t2824)) % 2.52/2.77 (define @t2826 () (tptp.c_In @t19 @t2825)) % 2.52/2.77 (define @t2827 () (or @t2301 @t2826)) % 2.52/2.77 (define @t2828 () (forall @t23 @t2827)) % 2.52/2.77 (define @t2829 () (and @t2828 @t1582)) % 2.52/2.77 (define @t2830 () (and @t2531 @t506)) % 2.52/2.77 (define @t2831 () (and @t2530 @t506)) % 2.52/2.77 (define @t2832 () (or @t2831 @t2830)) % 2.52/2.77 (define @t2833 () (lambda @t511 @t2832)) % 2.52/2.77 (define @t2834 () (_ tptp.c_Eps_i @t2833)) % 2.52/2.77 (define @t2835 () (lambda @t512 @t2834)) % 2.52/2.77 (define @t2836 () (_ @t156 @t2835)) % 2.52/2.77 (define @t2837 () (= @t2836 @t514)) % 2.52/2.77 (define @t2838 () (_ @t153 @t515)) % 2.52/2.77 (define @t2839 () (=> @t2838 tptp.c_False)) % 2.52/2.77 (define @t2840 () (and @t2839 @t2837)) % 2.52/2.77 (define @t2841 () (and @t2838 @t517)) % 2.52/2.77 (define @t2842 () (or @t2841 @t2840)) % 2.52/2.77 (define @t2843 () (lambda @t519 @t2842)) % 2.52/2.77 (define @t2844 () (_ tptp.c_Eps_i @t2843)) % 2.52/2.77 (define @t2845 () (lambda @t520 @t2844)) % 2.52/2.77 (define @t2846 () (_ @t156 @t2845)) % 2.52/2.77 (define @t2847 () (_ tptp.c_Union @t2846)) % 2.52/2.77 (define @t2848 () (= @t2847 @t522)) % 2.52/2.77 (define @t2849 () (_ @t153 @t524)) % 2.52/2.77 (define @t2850 () (=> @t2849 tptp.c_False)) % 2.52/2.77 (define @t2851 () (and @t2850 @t2848)) % 2.52/2.77 (define @t2852 () (and @t2849 @t2848)) % 2.52/2.77 (define @t2853 () (or @t2852 @t2851)) % 2.52/2.77 (define @t2854 () (lambda @t526 @t2853)) % 2.52/2.77 (define @t2855 () (_ tptp.c_Eps_i @t2854)) % 2.52/2.77 (define @t2856 () (lambda @t527 @t2855)) % 2.52/2.77 (define @t2857 () (_ @t156 @t2856)) % 2.52/2.77 (define @t2858 () (= @t528 @t2857)) % 2.52/2.77 (define @t2859 () (_ @t153 @t530)) % 2.52/2.77 (define @t2860 () (=> @t2859 tptp.c_False)) % 2.52/2.77 (define @t2861 () (and @t2860 @t2858)) % 2.52/2.77 (define @t2862 () (and @t2859 @t2858)) % 2.52/2.77 (define @t2863 () (or @t2862 @t2861)) % 2.52/2.77 (define @t2864 () (lambda @t533 @t2863)) % 2.52/2.77 (define @t2865 () (_ tptp.c_Eps_i @t2864)) % 2.52/2.77 (define @t2866 () (lambda @t534 @t2865)) % 2.52/2.77 (define @t2867 () (_ @t156 @t2866)) % 2.52/2.77 (define @t2868 () (= @t535 @t2867)) % 2.52/2.77 (define @t2869 () (_ @t153 @t536)) % 2.52/2.77 (define @t2870 () (=> @t2869 tptp.c_False)) % 2.52/2.77 (define @t2871 () (and @t2870 @t2868)) % 2.52/2.77 (define @t2872 () (and @t2869 @t2290)) % 2.52/2.77 (define @t2873 () (or @t2872 @t2871)) % 2.52/2.77 (define @t2874 () (lambda @t539 @t2873)) % 2.52/2.77 (define @t2875 () (_ tptp.c_Eps_i @t2874)) % 2.52/2.77 (define @t2876 () (lambda @t540 @t2875)) % 2.52/2.77 (define @t2877 () (_ @t156 @t2876)) % 2.52/2.77 (define @t2878 () (_ tptp.c_Union @t2877)) % 2.52/2.77 (define @t2879 () (_ (_ tptp.c_In @t2878) @t2)) % 2.52/2.77 (define @t2880 () (not @t2879)) % 2.52/2.77 (define @t2881 () (or @t2880 tptp.c_False)) % 2.52/2.77 (define @t2882 () (and @t2881 @t43)) % 2.52/2.77 (define @t2883 () (not @t43)) % 2.52/2.77 (define @t2884 () (or @t2883 tptp.c_False)) % 2.52/2.77 (define @t2885 () (and @t2879 @t2884)) % 2.52/2.77 (define @t2886 () (not @t21)) % 2.52/2.77 (define @t2887 () (or @t2886 @t2885 @t2882)) % 2.52/2.77 (define @t2888 () (=> @t2879 tptp.c_False)) % 2.52/2.77 (define @t2889 () (and @t2888 @t43)) % 2.52/2.77 (define @t2890 () (and @t2879 (=> @t43 tptp.c_False))) % 2.52/2.77 (define @t2891 () (or @t2890 @t2889)) % 2.52/2.77 (define @t2892 () (=> @t9 tptp.c_False)) % 2.52/2.77 (define @t2893 () (lambda (@list @t9) (or (and @t2879 @t2892) (and @t2888 @t9)))) % 2.52/2.77 (define @t2894 () (and @t78 @t9)) % 2.52/2.77 (define @t2895 () (and @t4 @t2892)) % 2.52/2.77 (define @t2896 () (or @t2895 @t2894)) % 2.52/2.77 (define @t2897 () (lambda @t10 @t2896)) % 2.52/2.77 (define @t2898 () (= @t24 @t535)) % 2.52/2.77 (define @t2899 () (and @t154 @t2898)) % 2.52/2.77 (define @t2900 () (lambda @t23 (_ tptp.c_Eps_i (lambda @t539 (or @t2899 (and @t1499 @t2868)))))) % 2.52/2.77 (define @t2901 () (= @t522 @t2847)) % 2.52/2.77 (define @t2902 () (and @t2850 @t2901)) % 2.52/2.77 (define @t2903 () (and @t2849 @t2901)) % 2.52/2.77 (define @t2904 () (or @t2903 @t2902)) % 2.52/2.77 (define @t2905 () (lambda @t526 @t2904)) % 2.52/2.77 (define @t2906 () (lambda @t527 (_ tptp.c_Eps_i @t2905))) % 2.52/2.77 (define @t2907 () (= @t528 (_ @t156 @t2906))) % 2.52/2.77 (define @t2908 () (and @t2860 @t2907)) % 2.52/2.77 (define @t2909 () (and @t2859 @t2907)) % 2.52/2.77 (define @t2910 () (or @t2909 @t2908)) % 2.52/2.77 (define @t2911 () (lambda @t533 @t2910)) % 2.52/2.77 (define @t2912 () (lambda @t534 (_ tptp.c_Eps_i @t2911))) % 2.52/2.77 (define @t2913 () (= @t535 (_ @t156 @t2912))) % 2.52/2.77 (define @t2914 () (and @t1499 @t2913)) % 2.52/2.77 (define @t2915 () (or @t2899 @t2914)) % 2.52/2.77 (define @t2916 () (lambda @t539 @t2915)) % 2.52/2.77 (define @t2917 () (lambda @t23 (_ tptp.c_Eps_i @t2916))) % 2.52/2.77 (define @t2918 () (lambda @t30 (_ tptp.c_Union (_ @t156 @t2917)))) % 2.52/2.77 (define @t2919 () (= @t24 @t2847)) % 2.52/2.77 (define @t2920 () (= @t528 (_ @t156 (lambda @t527 (_ tptp.c_Eps_i (lambda @t30 (or (and @t2849 @t2919) (and @t2850 @t2919)))))))) % 2.52/2.77 (define @t2921 () (_ @t156 (lambda @t534 (_ tptp.c_Eps_i (lambda @t533 (or (and @t2859 @t2920) (and @t2860 @t2920))))))) % 2.52/2.77 (define @t2922 () (and @t1499 (= @t2921 @t535))) % 2.52/2.77 (define @t2923 () (or @t2899 @t2922)) % 2.52/2.77 (define @t2924 () (lambda @t539 @t2923)) % 2.52/2.77 (define @t2925 () (lambda @t23 (_ tptp.c_Eps_i @t2924))) % 2.52/2.77 (define @t2926 () (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or (and @t154 @t2919) (and @t1499 @t2919)))))) % 2.52/2.77 (define @t2927 () (_ @t156 @t2926)) % 2.52/2.77 (define @t2928 () (= @t528 @t2927)) % 2.52/2.77 (define @t2929 () (_ @t156 (lambda @t534 (_ tptp.c_Eps_i (lambda @t533 (or (and @t2859 @t2928) (and @t2860 @t2928))))))) % 2.52/2.77 (define @t2930 () (= @t2927 @t528)) % 2.52/2.77 (define @t2931 () (and @t2860 @t2930)) % 2.52/2.77 (define @t2932 () (and @t2859 @t2930)) % 2.52/2.77 (define @t2933 () (or @t2932 @t2931)) % 2.52/2.77 (define @t2934 () (lambda @t533 @t2933)) % 2.52/2.77 (define @t2935 () (lambda @t534 (_ tptp.c_Eps_i @t2934))) % 2.52/2.77 (define @t2936 () (_ @t156 @t2935)) % 2.52/2.77 (define @t2937 () (= @t2936 @t535)) % 2.52/2.77 (define @t2938 () (and @t1499 @t2937)) % 2.52/2.77 (define @t2939 () (or @t2899 @t2938)) % 2.52/2.77 (define @t2940 () (lambda @t539 @t2939)) % 2.52/2.77 (define @t2941 () (lambda @t23 (_ tptp.c_Eps_i @t2940))) % 2.52/2.77 (define @t2942 () (= @t2 @t528)) % 2.52/2.77 (define @t2943 () (_ @t156 (lambda @t534 (_ tptp.c_Eps_i (lambda @t533 (or (and @t2859 @t2942) (and @t2860 @t2942))))))) % 2.52/2.77 (define @t2944 () (and @t1499 (= @t2943 @t535))) % 2.52/2.77 (define @t2945 () (lambda @t33 (_ tptp.c_Union (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t539 (or @t2899 @t2944)))))))) % 2.52/2.77 (define @t2946 () (and @t154 @t517)) % 2.52/2.77 (define @t2947 () (= @t24 (_ tptp.c_Union (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t519 (or @t2946 (and @t1499 @t2837))))))))) % 2.52/2.77 (define @t2948 () (and @t1499 (= @t514 @t2836))) % 2.52/2.77 (define @t2949 () (or @t2946 @t2948)) % 2.52/2.77 (define @t2950 () (lambda @t519 @t2949)) % 2.52/2.77 (define @t2951 () (lambda @t23 (_ tptp.c_Eps_i @t2950))) % 2.52/2.77 (define @t2952 () (= @t24 (_ tptp.c_Union (_ @t156 @t2951)))) % 2.52/2.77 (define @t2953 () (and @t1499 @t2952)) % 2.52/2.77 (define @t2954 () (and @t154 @t2952)) % 2.52/2.77 (define @t2955 () (or @t2954 @t2953)) % 2.52/2.77 (define @t2956 () (lambda @t30 @t2955)) % 2.52/2.77 (define @t2957 () (_ tptp.c_Union (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t1544 (and @t1499 (= @t24 @t2836))))))))) % 2.52/2.77 (define @t2958 () (= @t24 @t2957)) % 2.52/2.77 (define @t2959 () (= @t2957 @t24)) % 2.52/2.77 (define @t2960 () (and @t1499 @t2959)) % 2.52/2.77 (define @t2961 () (and @t154 @t2959)) % 2.52/2.77 (define @t2962 () (or @t2961 @t2960)) % 2.52/2.77 (define @t2963 () (lambda @t30 @t2962)) % 2.52/2.77 (define @t2964 () (lambda @t23 (_ tptp.c_Eps_i @t2963))) % 2.52/2.77 (define @t2965 () (_ @t2630 tptp.c_Empty)) % 2.52/2.77 (define @t2966 () (and @t154 (= @t11 @t535))) % 2.52/2.77 (define @t2967 () (and @t1499 (= @t535 @t2943))) % 2.52/2.77 (define @t2968 () (or @t2966 @t2967)) % 2.52/2.77 (define @t2969 () (lambda @t539 @t2968)) % 2.52/2.77 (define @t2970 () (lambda @t23 (_ tptp.c_Eps_i @t2969))) % 2.52/2.77 (define @t2971 () (= @t24 @t2943)) % 2.52/2.77 (define @t2972 () (lambda @t30 (or @t1552 (and @t1499 @t2971)))) % 2.52/2.77 (define @t2973 () (lambda @t23 (_ tptp.c_Eps_i @t2972))) % 2.52/2.77 (define @t2974 () (lambda @t16 (_ tptp.c_Union (_ @t156 @t2973)))) % 2.52/2.77 (define @t2975 () (_ @t1557 @t2965)) % 2.52/2.77 (define @t2976 () (lambda @t30 (_ (_ @t2974 @t24) @t2975))) % 2.52/2.77 (define @t2977 () (=> @t21 (_ (_ @t2897 (_ (_ tptp.c_In (_ @t2976 @t19)) @t2)) @t43))) % 2.52/2.77 (define @t2978 () (= @t2828 true)) % 2.52/2.77 (define @t2979 () (lambda @t1583 (ite @t2978 @t1587 false))) % 2.52/2.77 (define @t2980 () (= @t1722 @t545)) % 2.52/2.77 (define @t2981 () (and @t1760 @t2980)) % 2.52/2.77 (define @t2982 () (and @t548 @t2980)) % 2.52/2.77 (define @t2983 () (or @t2982 @t2981)) % 2.52/2.77 (define @t2984 () (lambda @t549 @t2983)) % 2.52/2.77 (define @t2985 () (tptp.c_Eps_i @t2984)) % 2.52/2.77 (define @t2986 () (lambda @t550 @t2985)) % 2.52/2.77 (define @t2987 () (tptp.c_Repl @t398 @t2986)) % 2.52/2.77 (define @t2988 () (= @t528 @t2987)) % 2.52/2.77 (define @t2989 () (and @t1733 @t2988)) % 2.52/2.77 (define @t2990 () (and @t531 @t2988)) % 2.52/2.77 (define @t2991 () (or @t2990 @t2989)) % 2.52/2.77 (define @t2992 () (lambda @t533 @t2991)) % 2.52/2.77 (define @t2993 () (tptp.c_Eps_i @t2992)) % 2.52/2.77 (define @t2994 () (lambda @t534 @t2993)) % 2.52/2.77 (define @t2995 () (tptp.c_Repl @t398 @t2994)) % 2.52/2.77 (define @t2996 () (= @t2995 @t552)) % 2.52/2.77 (define @t2997 () (and @t1777 @t2996)) % 2.52/2.77 (define @t2998 () (or @t2815 @t2997)) % 2.52/2.77 (define @t2999 () (lambda @t557 @t2998)) % 2.52/2.77 (define @t3000 () (tptp.c_Eps_i @t2999)) % 2.52/2.77 (define @t3001 () (lambda @t558 @t3000)) % 2.52/2.77 (define @t3002 () (tptp.c_Repl @t398 @t3001)) % 2.52/2.77 (define @t3003 () (tptp.c_Union @t3002)) % 2.52/2.77 (define @t3004 () (lambda @t33 @t3003)) % 2.52/2.77 (define @t3005 () (tptp.c_Repl @t11 @t3004)) % 2.52/2.77 (define @t3006 () (= @t24 @t3005)) % 2.52/2.77 (define @t3007 () (and @t1788 @t3006)) % 2.52/2.77 (define @t3008 () (or @t2775 @t3007)) % 2.52/2.77 (define @t3009 () (lambda @t30 @t3008)) % 2.52/2.77 (define @t3010 () (tptp.c_Eps_i @t3009)) % 2.52/2.77 (define @t3011 () (lambda @t564 @t3010)) % 2.52/2.77 (define @t3012 () (tptp.c_Repl @t398 @t3011)) % 2.52/2.77 (define @t3013 () (tptp.c_Union @t3012)) % 2.52/2.77 (define @t3014 () (tptp.c_In @t19 @t3013)) % 2.52/2.77 (define @t3015 () (or @t2301 @t3014)) % 2.52/2.77 (define @t3016 () (= @t2847 @t545)) % 2.52/2.77 (define @t3017 () (_ @t153 @t547)) % 2.52/2.77 (define @t3018 () (=> @t3017 tptp.c_False)) % 2.52/2.77 (define @t3019 () (and @t3018 @t3016)) % 2.52/2.77 (define @t3020 () (and @t3017 @t3016)) % 2.52/2.77 (define @t3021 () (or @t3020 @t3019)) % 2.52/2.77 (define @t3022 () (lambda @t549 @t3021)) % 2.52/2.77 (define @t3023 () (_ tptp.c_Eps_i @t3022)) % 2.52/2.77 (define @t3024 () (lambda @t550 @t3023)) % 2.52/2.77 (define @t3025 () (_ @t156 @t3024)) % 2.52/2.77 (define @t3026 () (= @t528 @t3025)) % 2.52/2.77 (define @t3027 () (and @t2860 @t3026)) % 2.52/2.77 (define @t3028 () (and @t2859 @t3026)) % 2.52/2.77 (define @t3029 () (or @t3028 @t3027)) % 2.52/2.77 (define @t3030 () (lambda @t533 @t3029)) % 2.52/2.77 (define @t3031 () (_ tptp.c_Eps_i @t3030)) % 2.52/2.77 (define @t3032 () (lambda @t534 @t3031)) % 2.52/2.77 (define @t3033 () (_ @t156 @t3032)) % 2.52/2.77 (define @t3034 () (= @t3033 @t552)) % 2.52/2.77 (define @t3035 () (_ @t153 @t553)) % 2.52/2.77 (define @t3036 () (=> @t3035 tptp.c_False)) % 2.52/2.77 (define @t3037 () (and @t3036 @t3034)) % 2.52/2.77 (define @t3038 () (and @t3035 @t2814)) % 2.52/2.77 (define @t3039 () (or @t3038 @t3037)) % 2.52/2.77 (define @t3040 () (lambda @t557 @t3039)) % 2.52/2.77 (define @t3041 () (_ tptp.c_Eps_i @t3040)) % 2.52/2.77 (define @t3042 () (lambda @t558 @t3041)) % 2.52/2.77 (define @t3043 () (_ @t156 @t3042)) % 2.52/2.77 (define @t3044 () (_ tptp.c_Union @t3043)) % 2.52/2.77 (define @t3045 () (lambda @t33 @t3044)) % 2.52/2.77 (define @t3046 () (_ @t32 @t3045)) % 2.52/2.77 (define @t3047 () (= @t24 @t3046)) % 2.52/2.77 (define @t3048 () (_ @t153 @t560)) % 2.52/2.77 (define @t3049 () (=> @t3048 tptp.c_False)) % 2.52/2.77 (define @t3050 () (and @t3049 @t3047)) % 2.52/2.77 (define @t3051 () (and @t3048 @t1551)) % 2.52/2.77 (define @t3052 () (or @t3051 @t3050)) % 2.52/2.77 (define @t3053 () (lambda @t30 @t3052)) % 2.52/2.77 (define @t3054 () (_ tptp.c_Eps_i @t3053)) % 2.52/2.77 (define @t3055 () (lambda @t564 @t3054)) % 2.52/2.77 (define @t3056 () (_ @t156 @t3055)) % 2.52/2.77 (define @t3057 () (_ tptp.c_Union @t3056)) % 2.52/2.77 (define @t3058 () (tptp.c_In @t19 @t3057)) % 2.52/2.77 (define @t3059 () (or @t2301 @t3058)) % 2.52/2.77 (define @t3060 () (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t1552 (and @t1499 @t3047)))))) % 2.52/2.77 (define @t3061 () (_ tptp.c_Union (_ @t156 @t3060))) % 2.52/2.77 (define @t3062 () (tptp.c_In @t19 @t3061)) % 2.52/2.77 (define @t3063 () (or @t2301 @t3062)) % 2.52/2.77 (define @t3064 () (forall @t23 @t3063)) % 2.52/2.77 (define @t3065 () (@var "BOUND_VARIABLE_7802" $$unsorted)) % 2.52/2.77 (define @t3066 () (tptp.c_In @t19 @t3065)) % 2.52/2.77 (define @t3067 () (lambda (@list @t3065) (forall @t23 (or @t2301 @t3066)))) % 2.52/2.77 (define @t3068 () (lambda @t30 (or @t1552 (and @t1499 (= @t24 (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t511 (or (and @t154 @t2621) (and @t1499 @t2621))))))))))) % 2.52/2.77 (define @t3069 () (and @t1499 (= @t1556 @t24))) % 2.52/2.77 (define @t3070 () (or @t1552 @t3069)) % 2.52/2.77 (define @t3071 () (lambda @t30 @t3070)) % 2.52/2.77 (define @t3072 () (lambda @t23 (_ tptp.c_Eps_i @t3071))) % 2.52/2.77 (define @t3073 () (lambda @t33 @t1554)) % 2.52/2.77 (define @t3074 () (lambda @t30 (or @t1552 (and @t1499 (= @t24 (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t533 (or (and @t154 @t2942) (and @t1499 @t2942))))))))))) % 2.52/2.77 (define @t3075 () (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t1568 @t1541)))))) % 2.52/2.77 (define @t3076 () (and @t1499 (= @t3075 @t24))) % 2.52/2.77 (define @t3077 () (or @t1552 @t3076)) % 2.52/2.77 (define @t3078 () (lambda @t30 @t3077)) % 2.52/2.77 (define @t3079 () (lambda @t23 (_ tptp.c_Eps_i @t3078))) % 2.52/2.77 (define @t3080 () (= @t2895 false)) % 2.52/2.77 (define @t3081 () (not @t3080)) % 2.52/2.77 (define @t3082 () (lambda @t1581 (ite @t3080 @t1598 true))) % 2.52/2.77 (define @t3083 () (and @t3036 (= @t552 @t3033))) % 2.52/2.77 (define @t3084 () (or @t3038 @t3083)) % 2.52/2.77 (define @t3085 () (lambda @t557 @t3084)) % 2.52/2.77 (define @t3086 () (lambda @t558 (_ tptp.c_Eps_i @t3085))) % 2.52/2.77 (define @t3087 () (lambda @t33 (_ tptp.c_Union (_ @t156 @t3086)))) % 2.52/2.77 (define @t3088 () (= @t24 (_ @t32 @t3087))) % 2.52/2.77 (define @t3089 () (and @t1499 @t3088)) % 2.52/2.77 (define @t3090 () (or @t1552 @t3089)) % 2.52/2.77 (define @t3091 () (lambda @t30 @t3090)) % 2.52/2.77 (define @t3092 () (and @t3036 (= @t24 @t3033))) % 2.52/2.77 (define @t3093 () (_ tptp.c_Union (_ @t156 (lambda @t558 (_ tptp.c_Eps_i (lambda @t30 (or (and @t3035 @t562) @t3092))))))) % 2.52/2.77 (define @t3094 () (_ @t32 (lambda @t33 @t3093))) % 2.52/2.77 (define @t3095 () (and @t1499 (= @t3094 @t24))) % 2.52/2.77 (define @t3096 () (or @t1552 @t3095)) % 2.52/2.77 (define @t3097 () (lambda @t30 @t3096)) % 2.52/2.77 (define @t3098 () (lambda @t23 (_ tptp.c_Eps_i @t3097))) % 2.52/2.77 (define @t3099 () (and @t3035 @t1575)) % 2.52/2.77 (define @t3100 () (lambda @t23 (_ tptp.c_Union (_ @t156 (lambda @t558 (_ tptp.c_Eps_i (lambda @t30 (or @t3099 @t3092)))))))) % 2.52/2.77 (define @t3101 () (= @t528 (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t549 (or (and @t154 @t3016) (and @t1499 @t3016)))))))) % 2.52/2.77 (define @t3102 () (= @t545 @t2847)) % 2.52/2.77 (define @t3103 () (and @t1499 @t3102)) % 2.52/2.77 (define @t3104 () (and @t154 @t3102)) % 2.52/2.77 (define @t3105 () (or @t3104 @t3103)) % 2.52/2.77 (define @t3106 () (lambda @t549 @t3105)) % 2.52/2.77 (define @t3107 () (lambda @t23 (_ tptp.c_Eps_i @t3106))) % 2.52/2.77 (define @t3108 () (= @t528 (_ @t156 @t3107))) % 2.52/2.77 (define @t3109 () (and @t2860 @t3108)) % 2.52/2.77 (define @t3110 () (and @t2859 @t3108)) % 2.52/2.77 (define @t3111 () (or @t3110 @t3109)) % 2.52/2.77 (define @t3112 () (lambda @t533 @t3111)) % 2.52/2.77 (define @t3113 () (lambda @t534 (_ tptp.c_Eps_i @t3112))) % 2.52/2.77 (define @t3114 () (= @t24 (_ @t156 @t3113))) % 2.52/2.77 (define @t3115 () (and @t3036 @t3114)) % 2.52/2.77 (define @t3116 () (or @t3099 @t3115)) % 2.52/2.77 (define @t3117 () (lambda @t30 @t3116)) % 2.52/2.77 (define @t3118 () (= @t24 @t2936)) % 2.52/2.77 (define @t3119 () (and @t3036 @t3118)) % 2.52/2.77 (define @t3120 () (or @t3099 @t3119)) % 2.52/2.77 (define @t3121 () (lambda @t30 @t3120)) % 2.52/2.77 (define @t3122 () (lambda @t558 (_ tptp.c_Eps_i @t3121))) % 2.52/2.77 (define @t3123 () (and @t3036 @t2971)) % 2.52/2.77 (define @t3124 () (lambda @t33 (_ tptp.c_Union (_ @t156 (lambda @t558 (_ tptp.c_Eps_i (lambda @t30 (or @t3099 @t3123)))))))) % 2.52/2.77 (define @t3125 () (lambda @t23 (_ (_ @t2974 @t19) @t2975))) % 2.52/2.77 (define @t3126 () (or @t2886 @t43)) % 2.52/2.77 (define @t3127 () (or @t2787 @t572 @t2786)) % 2.52/2.77 (define @t3128 () (or @t2611 @t3127)) % 2.52/2.77 (define @t3129 () (forall @t2789 @t3128)) % 2.52/2.77 (define @t3130 () (@list @t571 @t569)) % 2.52/2.77 (define @t3131 () (forall @t3130 @t3128)) % 2.52/2.77 (define @t3132 () (forall @t3130 @t3127)) % 2.52/2.77 (define @t3133 () (@var "BOUND_VARIABLE_10760" $$unsorted)) % 2.52/2.77 (define @t3134 () (or @t2611 @t3132)) % 2.52/2.77 (define @t3135 () (not (tptp.c_In @t577 @t3133))) % 2.52/2.77 (define @t3136 () (@list @t3133 @t577)) % 2.52/2.77 (define @t3137 () (forall @t3136 (or (not (tptp.c_In @t3133 @t2)) @t3135 @t578))) % 2.52/2.77 (define @t3138 () (not @t93)) % 2.52/2.77 (define @t3139 () (or @t3138 @t3137)) % 2.52/2.77 (define @t3140 () (=> @t93 (_ @t2642 @t2))) % 2.52/2.77 (define @t3141 () (= @t2641 true)) % 2.52/2.77 (define @t3142 () (lambda @t1583 (ite @t3141 @t1587 false))) % 2.52/2.77 (define @t3143 () (or @t2029 @t2639)) % 2.52/2.77 (define @t3144 () (or @t2611 @t3143)) % 2.52/2.77 (define @t3145 () (forall @t2030 @t3144)) % 2.52/2.77 (define @t3146 () (@list @t577)) % 2.52/2.77 (define @t3147 () (forall @t3146 @t3144)) % 2.52/2.77 (define @t3148 () (forall @t3146 @t3143)) % 2.52/2.77 (define @t3149 () (or @t2611 @t3148)) % 2.52/2.77 (define @t3150 () (or @t3138 @t2602)) % 2.52/2.77 (define @t3151 () (_ (_ @t2447 @t2) @t11)) % 2.52/2.77 (define @t3152 () (=> @t93 @t3151)) % 2.52/2.77 (define @t3153 () (_ @t253 @t19)) % 2.52/2.77 (define @t3154 () (lambda @t23 (_ (_ tptp.c_Repl @t3153) @t2439))) % 2.52/2.77 (define @t3155 () (_ @t250 @t2439)) % 2.52/2.77 (define @t3156 () (lambda @t23 @t3155)) % 2.52/2.77 (define @t3157 () (_ tptp.c_Union (_ @t32 @t3156))) % 2.52/2.77 (define @t3158 () (@list @t25)) % 2.52/2.77 (define @t3159 () (lambda @t3158 @t3157)) % 2.52/2.77 (define @t3160 () (_ @t3156 @t19)) % 2.52/2.77 (define @t3161 () (lambda @t23 @t3160)) % 2.52/2.77 (define @t3162 () (lambda @t3158 @t163)) % 2.52/2.77 (define @t3163 () (and @t2363 (= @t2438 @t478))) % 2.52/2.77 (define @t3164 () (or @t2368 @t3163)) % 2.52/2.77 (define @t3165 () (lambda @t484 @t3164)) % 2.52/2.77 (define @t3166 () (lambda @t485 (_ tptp.c_Eps_i @t3165))) % 2.52/2.77 (define @t3167 () (and @t2363 (= @t478 @t2742))) % 2.52/2.77 (define @t3168 () (and @t2362 (= @t478 @t2366))) % 2.52/2.77 (define @t3169 () (or @t3168 @t3167)) % 2.52/2.77 (define @t3170 () (lambda @t484 @t3169)) % 2.52/2.77 (define @t3171 () (lambda @t485 (_ tptp.c_Eps_i @t3170))) % 2.52/2.77 (define @t3172 () (and @t2363 @t2743)) % 2.52/2.77 (define @t3173 () (lambda @t30 (or (and @t2362 (= @t24 @t2366)) @t3172))) % 2.52/2.77 (define @t3174 () (lambda @t485 (_ tptp.c_Eps_i @t3173))) % 2.52/2.77 (define @t3175 () (lambda @t33 (_ tptp.c_Union (_ @t156 @t3174)))) % 2.52/2.77 (define @t3176 () (lambda @t30 (_ (_ @t2747 @t19) @t24))) % 2.52/2.77 (define @t3177 () (= @t2614 true)) % 2.52/2.77 (define @t3178 () (lambda @t1583 (ite @t3177 @t1587 false))) % 2.52/2.77 (define @t3179 () (lambda @t18 @t2614)) % 2.52/2.77 (define @t3180 () (or @t611 @t1828)) % 2.52/2.77 (define @t3181 () (or @t2603 @t2601 @t3180)) % 2.52/2.77 (define @t3182 () (forall @t621 @t3181)) % 2.52/2.77 (define @t3183 () (forall (@list @t608 @t604 @t605) @t3181)) % 2.52/2.77 (define @t3184 () (forall (@list @t604 @t605) @t3180)) % 2.52/2.77 (define @t3185 () (@var "BOUND_VARIABLE_7943" $$unsorted)) % 2.52/2.77 (define @t3186 () (@list @t608)) % 2.52/2.77 (define @t3187 () (forall @t3186 @t1443)) % 2.52/2.77 (define @t3188 () (forall @t3186 @t2600)) % 2.52/2.77 (define @t3189 () (and @t3188 @t3187)) % 2.52/2.77 (define @t3190 () (forall @t3186 @t2601)) % 2.52/2.77 (define @t3191 () (or @t2603 @t3190 @t3184)) % 2.52/2.77 (define @t3192 () (tptp.c_In @t2492 (tptp.c_Power @t3185))) % 2.52/2.77 (define @t3193 () (@list @t3185 @t2492)) % 2.52/2.77 (define @t3194 () (forall @t3193 (or (not (tptp.c_In @t3185 @t2)) (and (or (not (tptp.c_In @t2492 @t2)) @t3192) @t1443)))) % 2.52/2.77 (define @t3195 () (=> @t2446 tptp.c_False)) % 2.52/2.77 (define @t3196 () (not @t3195)) % 2.52/2.77 (define @t3197 () (not @t3194)) % 2.52/2.77 (define @t3198 () (not @t3197)) % 2.52/2.77 (define @t3199 () (or @t2603 @t3196 @t3198)) % 2.52/2.77 (define @t3200 () (and @t3195 @t3197)) % 2.52/2.77 (define @t3201 () (and @t2602 @t3195 @t3197)) % 2.52/2.77 (define @t3202 () (forall @t33 (not @t3201))) % 2.52/2.77 (define @t3203 () (not @t3202)) % 2.52/2.77 (define @t3204 () (and @t2602 @t3200)) % 2.52/2.77 (define @t3205 () (= @t3195 true)) % 2.52/2.77 (define @t3206 () (lambda @t1583 (ite @t3205 @t1587 false))) % 2.52/2.77 (define @t3207 () (lambda @t33 @t2446)) % 2.52/2.77 (define @t3208 () (_ @t2447 @t11)) % 2.52/2.77 (define @t3209 () (= @t2602 true)) % 2.52/2.77 (define @t3210 () (lambda @t1583 (ite @t3209 @t1587 false))) % 2.52/2.77 (define @t3211 () (@list @t2492)) % 2.52/2.77 (define @t3212 () (forall @t3211 @t2612)) % 2.52/2.77 (define @t3213 () (forall @t3211 @t1443)) % 2.52/2.77 (define @t3214 () (forall @t3211 @t2608)) % 2.52/2.77 (define @t3215 () (and @t3214 @t3213)) % 2.52/2.77 (define @t3216 () (forall @t3211 @t2609)) % 2.52/2.77 (define @t3217 () (or @t2611 @t3216)) % 2.52/2.77 (define @t3218 () (forall @t23 (or @t2299 (tptp.c_In @t19 @t2494)))) % 2.52/2.77 (define @t3219 () (and @t3218 @t1443)) % 2.52/2.77 (define @t3220 () (or @t3138 @t3219)) % 2.52/2.77 (define @t3221 () (=> @t3218 tptp.c_False)) % 2.52/2.77 (define @t3222 () (and @t93 @t3221)) % 2.52/2.77 (define @t3223 () (forall @t33 (not @t3222))) % 2.52/2.77 (define @t3224 () (not @t3223)) % 2.52/2.77 (define @t3225 () (tptp.c_In @t19 @t41)) % 2.52/2.77 (define @t3226 () (or @t2299 @t3225)) % 2.52/2.77 (define @t3227 () (forall @t23 @t3226)) % 2.52/2.77 (define @t3228 () (= @t93 true)) % 2.52/2.77 (define @t3229 () (lambda @t1583 (ite @t3228 @t1587 false))) % 2.52/2.77 (define @t3230 () (_ @t2074 @t2)) % 2.52/2.77 (define @t3231 () (not @t3230)) % 2.52/2.77 (define @t3232 () (or @t2736 @t3231)) % 2.52/2.77 (define @t3233 () (_ @t181 @t658)) % 2.52/2.77 (define @t3234 () (not @t3233)) % 2.52/2.77 (define @t3235 () (or @t2736 @t3234)) % 2.52/2.77 (define @t3236 () (forall @t662 @t3235)) % 2.52/2.77 (define @t3237 () (not @t3236)) % 2.52/2.77 (define @t3238 () (=> @t3237 tptp.c_False)) % 2.52/2.77 (define @t3239 () (and @t3238 @t635)) % 2.52/2.77 (define @t3240 () (_ @t181 @t57)) % 2.52/2.77 (define @t3241 () (and @t168 @t3240)) % 2.52/2.77 (define @t3242 () (lambda @t58 @t3241)) % 2.52/2.77 (define @t3243 () (= @t700 (_ tptp.c_Eps_i @t3242))) % 2.52/2.77 (define @t3244 () (_ @t181 @t706)) % 2.52/2.77 (define @t3245 () (=> @t3244 tptp.c_False)) % 2.52/2.77 (define @t3246 () (and @t3245 @t3243)) % 2.52/2.77 (define @t3247 () (and @t3244 @t708)) % 2.52/2.77 (define @t3248 () (or @t3247 @t3246)) % 2.52/2.77 (define @t3249 () (lambda @t709 @t3248)) % 2.52/2.77 (define @t3250 () (lambda @t710 (_ tptp.c_Eps_i @t3249))) % 2.52/2.77 (define @t3251 () (= @t24 (_ @t32 @t3250))) % 2.52/2.77 (define @t3252 () (and @t3237 @t3251)) % 2.52/2.77 (define @t3253 () (or @t3252 @t3239)) % 2.52/2.77 (define @t3254 () (lambda @t30 @t3253)) % 2.52/2.77 (define @t3255 () (not (forall @t662 (or @t2736 (not (_ @t165 @t658)))))) % 2.52/2.77 (define @t3256 () (=> @t3255 tptp.c_False)) % 2.52/2.77 (define @t3257 () (and @t168 @t166)) % 2.52/2.77 (define @t3258 () (_ tptp.c_Eps_i (lambda @t58 @t3257))) % 2.52/2.77 (define @t3259 () (= @t700 @t3258)) % 2.52/2.77 (define @t3260 () (_ @t165 @t706)) % 2.52/2.77 (define @t3261 () (and (=> @t3260 tptp.c_False) @t3259)) % 2.52/2.77 (define @t3262 () (and @t3255 (= @t24 (_ @t32 (lambda @t710 (_ tptp.c_Eps_i (lambda @t709 (or (and @t3260 @t708) @t3261)))))))) % 2.52/2.77 (define @t3263 () (_ tptp.c_Eps_i (lambda @t30 (or @t3262 (and @t3256 @t635))))) % 2.52/2.77 (define @t3264 () (lambda @t220 @t3263)) % 2.52/2.77 (define @t3265 () (and @t3256 @t1575)) % 2.52/2.77 (define @t3266 () (and @t3260 (= @t706 @t700))) % 2.52/2.77 (define @t3267 () (or @t3266 @t3261)) % 2.52/2.77 (define @t3268 () (lambda @t709 @t3267)) % 2.52/2.77 (define @t3269 () (lambda @t710 (_ tptp.c_Eps_i @t3268))) % 2.52/2.77 (define @t3270 () (= @t24 (_ @t32 @t3269))) % 2.52/2.77 (define @t3271 () (and @t3255 @t3270)) % 2.52/2.77 (define @t3272 () (or @t3271 @t3265)) % 2.52/2.77 (define @t3273 () (lambda @t30 @t3272)) % 2.52/2.77 (define @t3274 () (lambda @t23 (_ tptp.c_Eps_i @t3273))) % 2.52/2.77 (define @t3275 () (= @t19 @t700)) % 2.52/2.77 (define @t3276 () (_ tptp.c_Eps_i (lambda @t709 (or (and @t174 @t3275) (and (=> @t174 tptp.c_False) @t3259))))) % 2.52/2.77 (define @t3277 () (_ @t32 (lambda @t23 @t3276))) % 2.52/2.77 (define @t3278 () (and @t3255 (= @t3277 @t24))) % 2.52/2.77 (define @t3279 () (or @t3278 @t3265)) % 2.52/2.77 (define @t3280 () (lambda @t30 @t3279)) % 2.52/2.77 (define @t3281 () (lambda @t23 (_ tptp.c_Eps_i @t3280))) % 2.52/2.77 (define @t3282 () (lambda @t115 (_ tptp.c_Eps_i (lambda @t30 (or (and @t3255 @t562) @t3265))))) % 2.52/2.77 (define @t3283 () (=> @t171 tptp.c_False)) % 2.52/2.77 (define @t3284 () (and @t171 (= @t24 @t700))) % 2.52/2.77 (define @t3285 () (and @t3283 (= @t3258 @t700))) % 2.52/2.77 (define @t3286 () (or @t3284 @t3285)) % 2.52/2.77 (define @t3287 () (lambda @t709 @t3286)) % 2.52/2.77 (define @t3288 () (and @t3283 @t3275)) % 2.52/2.77 (define @t3289 () (lambda @t23 (_ tptp.c_Eps_i (lambda @t709 (or @t3284 @t3288))))) % 2.52/2.77 (define @t3290 () (= @t168 true)) % 2.52/2.77 (define @t3291 () (lambda @t1583 (ite @t3290 @t1587 false))) % 2.52/2.77 (define @t3292 () (lambda @t58 (_ (_ @t1593 @t168) @t166))) % 2.52/2.77 (define @t3293 () (= @t2 @t700)) % 2.52/2.77 (define @t3294 () (lambda @t115 (_ tptp.c_Eps_i (lambda @t709 (or (and @t171 @t3293) @t3288))))) % 2.52/2.77 (define @t3295 () (lambda @t30 (_ (_ (_ @t1579 @t171) @t24) (_ tptp.c_Eps_i @t3292)))) % 2.52/2.77 (define @t3296 () (_ @t165 @t19)) % 2.52/2.77 (define @t3297 () (not (forall @t23 (or @t2299 (not @t3296))))) % 2.52/2.77 (define @t3298 () (lambda @t115 (_ tptp.c_Eps_i (lambda @t30 (or (and @t3297 @t562) (and (=> @t3297 tptp.c_False) @t1575)))))) % 2.52/2.77 (define @t3299 () (not @t174)) % 2.52/2.77 (define @t3300 () (or @t2886 @t3299)) % 2.52/2.77 (define @t3301 () (and @t21 @t174)) % 2.52/2.77 (define @t3302 () (forall @t23 (not @t3301))) % 2.52/2.77 (define @t3303 () (not @t3302)) % 2.52/2.77 (define @t3304 () (= @t21 true)) % 2.52/2.77 (define @t3305 () (lambda @t1583 (ite @t3304 @t1587 false))) % 2.52/2.77 (define @t3306 () (lambda (@list (@var "BOUND_VARIABLE_332448" $$unsorted)) true)) % 2.52/2.77 (define @t3307 () (@var "BOUND_VARIABLE_333088" $$unsorted)) % 2.52/2.77 (define @t3308 () (lambda (@list @t3307) @t3307)) % 2.52/2.77 (define @t3309 () (_ @t3308 @t445)) % 2.52/2.77 (define @t3310 () (_ @t3308 @t3309)) % 2.52/2.77 (define @t3311 () (_ @t3308 @t3310)) % 2.52/2.77 (define @t3312 () (_ @t3306 @t3311)) % 2.52/2.77 (define @t3313 () (not @t3312)) % 2.52/2.77 (assume @p1 (forall (@list @t1 @t2) (=> @t3 (_ @t1 (_ tptp.c_Eps_i @t1))))) % 2.52/2.77 (assume @p2 @t8) % 2.52/2.77 (assume @p3 (forall @t10 (=> (_ (_ tptp.c_iff @t4) @t9) (= @t4 @t9)))) % 2.52/2.77 (assume @p4 (forall @t16 (=> @t15 (=> @t13 (= @t11 @t2))))) % 2.52/2.77 (assume @p5 (_ tptp.c_not (exists @t18 (_ @t17 tptp.c_Empty)))) % 2.52/2.77 (assume @p6 (forall @t16 (_ (_ tptp.c_iff (_ @t22 (_ tptp.c_Union @t11))) (exists @t23 (_ (_ tptp.c_and (_ @t22 @t19)) @t21))))) % 2.52/2.77 (assume @p7 (forall @t16 (_ (_ tptp.c_iff (_ @t22 (_ tptp.c_Power @t11))) @t13))) % 2.52/2.77 (assume @p8 (forall (@list @t11 @t25 @t19) (_ (_ tptp.c_iff (_ @t20 (_ @t32 @t31))) (exists @t30 (_ @t29 (= @t19 @t26)))))) % 2.52/2.77 (assume @p9 (forall @t45 (=> (forall @t33 (=> @t3 @t44)) (=> (_ @t1 tptp.c_Empty) (=> (forall @t33 (=> @t3 (_ @t1 (_ tptp.c_Union @t2)))) (=> (forall @t33 (=> @t3 (_ @t1 @t41))) (=> (forall @t33 (=> @t3 (forall @t40 (=> (forall @t30 (=> @t39 (_ @t1 @t36))) (_ @t1 (_ @t38 @t37)))))) @t34))))))) % 2.52/2.77 (assume @p10 (forall @t45 (=> (forall @t33 (=> @t44 @t3)) @t34))) % 2.52/2.77 (assume @p11 (= tptp.c_False (forall @t7 @t4))) % 2.52/2.77 (assume @p12 (= tptp.c_True (forall @t7 (=> @t4 @t4)))) % 2.52/2.77 (assume @p13 (= tptp.c_V_ (_ tptp.c_In_rec_poly_i (lambda @t48 (_ @t47 (lambda @t23 (_ tptp.c_Power @t46))))))) % 2.52/2.77 (assume @p14 @t53) % 2.52/2.77 (assume @p15 (= tptp.c_Unj (_ tptp.c_In_rec_poly_i (lambda @t48 (_ (_ tptp.c_Repl (_ (_ tptp.c_setminus @t11) @t51)) @t49))))) % 2.52/2.77 (assume @p16 @t77) % 2.52/2.77 (assume @p17 true) % 2.52/2.77 (step @p18 (= tptp.c_not @t79) :rule refl :args (@t79)) % 2.52/2.77 (step @p19 (= tptp.c_and @t85) :rule refl :args (@t85)) % 2.52/2.77 (step @p20 (= tptp.c_or @t89) :rule refl :args (@t89)) % 2.52/2.77 (step @p21 (= tptp.c_iff @t90) :rule refl :args (@t90)) % 2.52/2.77 (step @p22 (= tptp.c_Subq @t92) :rule refl :args (@t92)) % 2.52/2.77 (step @p23 (= tptp.c_TransSet @t96) :rule refl :args (@t96)) % 2.52/2.77 (step @p24 (= tptp.c_atleast2 @t98) :rule refl :args (@t98)) % 2.52/2.77 (step @p25 (= tptp.c_atleast3 @t103) :rule refl :args (@t103)) % 2.52/2.77 (step @p26 (= tptp.c_atleast4 @t104) :rule refl :args (@t104)) % 2.52/2.77 (step @p27 (= tptp.c_atleast5 @t105) :rule refl :args (@t105)) % 2.52/2.77 (step @p28 (= tptp.c_atleast6 @t106) :rule refl :args (@t106)) % 2.52/2.77 (step @p29 (= tptp.c_exactly2 @t108) :rule refl :args (@t108)) % 2.52/2.77 (step @p30 (= tptp.c_exactly3 @t110) :rule refl :args (@t110)) % 2.52/2.77 (step @p31 (= tptp.c_exactly4 @t112) :rule refl :args (@t112)) % 2.52/2.77 (step @p32 (= tptp.c_exactly5 @t113) :rule refl :args (@t113)) % 2.52/2.77 (step @p33 (= tptp.c_exu_i @t116) :rule refl :args (@t116)) % 2.52/2.77 (step @p34 (= tptp.c_reflexive_i @t121) :rule refl :args (@t121)) % 2.52/2.77 (step @p35 (= tptp.c_irreflexive_i @t122) :rule refl :args (@t122)) % 2.52/2.77 (step @p36 (= tptp.c_symmetric_i @t126) :rule refl :args (@t126)) % 2.52/2.77 (step @p37 (= tptp.c_antisymmetric_i @t127) :rule refl :args (@t127)) % 2.52/2.77 (step @p38 (= tptp.c_transitive_i @t128) :rule refl :args (@t128)) % 2.52/2.77 (step @p39 (= tptp.c_eqreln_i @t132) :rule refl :args (@t132)) % 2.52/2.77 (step @p40 (= tptp.c_per_i @t133) :rule refl :args (@t133)) % 2.52/2.77 (step @p41 (= tptp.c_linear_i @t135) :rule refl :args (@t135)) % 2.52/2.77 (step @p42 (= tptp.c_trichotomous_or_i @t136) :rule refl :args (@t136)) % 2.52/2.77 (step @p43 (= tptp.c_partialorder_i @t137) :rule refl :args (@t137)) % 2.52/2.77 (step @p44 (= tptp.c_totalorder_i @t138) :rule refl :args (@t138)) % 2.52/2.77 (step @p45 (= tptp.c_strictpartialorder_i @t139) :rule refl :args (@t139)) % 2.52/2.77 (step @p46 (= tptp.c_stricttotalorder_i @t140) :rule refl :args (@t140)) % 2.52/2.77 (step @p47 (= tptp.c_If_i @t147) :rule refl :args (@t147)) % 2.52/2.77 (step @p48 (= tptp.c_exactly1of2 @t149) :rule refl :args (@t149)) % 2.52/2.77 (step @p49 (= tptp.c_exactly1of3 @t150) :rule refl :args (@t150)) % 2.52/2.77 (step @p50 (= tptp.c_nIn @t151) :rule refl :args (@t151)) % 2.52/2.77 (step @p51 (= tptp.c_nSubq @t152) :rule refl :args (@t152)) % 2.52/2.77 (step @p52 (= tptp.c_UPair @t157) :rule refl :args (@t157)) % 2.52/2.77 (step @p53 (= tptp.c_Sing @t159) :rule refl :args (@t159)) % 2.52/2.77 (step @p54 (= tptp.c_binunion @t160) :rule refl :args (@t160)) % 2.52/2.77 (step @p55 (= tptp.c_SetAdjoin @t162) :rule refl :args (@t162)) % 2.52/2.77 (step @p56 (= tptp.c_famunion @t164) :rule refl :args (@t164)) % 2.52/2.77 (step @p57 (= tptp.c_Sep @t178) :rule refl :args (@t178)) % 2.52/2.77 (step @p58 (= tptp.c_ReplSep @t180) :rule refl :args (@t180)) % 2.52/2.77 (step @p59 (= tptp.c_binintersect @t182) :rule refl :args (@t182)) % 2.52/2.77 (step @p60 (= tptp.c_setminus @t183) :rule refl :args (@t183)) % 2.52/2.77 (step @p61 (= tptp.c_inj @t186) :rule refl :args (@t186)) % 2.52/2.77 (step @p62 (= tptp.c_bij @t188) :rule refl :args (@t188)) % 2.52/2.77 (step @p63 (= tptp.c_atleastp @t189) :rule refl :args (@t189)) % 2.52/2.77 (step @p64 (= tptp.c_equip @t190) :rule refl :args (@t190)) % 2.52/2.77 (step @p65 (= tptp.c_In_rec_poly_G_i @t214) :rule refl :args (@t214)) % 2.52/2.77 (step @p66 (= tptp.c_In_rec_poly_i @t217) :rule refl :args (@t217)) % 2.52/2.77 (step @p67 (= tptp.c_ordsucc @t218) :rule refl :args (@t218)) % 2.52/2.77 (step @p68 (= tptp.c_nat_p @t221) :rule refl :args (@t221)) % 2.52/2.77 (step @p69 (= tptp.c_nat_primrec @t226) :rule refl :args (@t226)) % 2.52/2.77 (step @p70 (= tptp.c_add_nat @t228) :rule refl :args (@t228)) % 2.52/2.77 (step @p71 (= tptp.c_mul_nat @t229) :rule refl :args (@t229)) % 2.52/2.77 (step @p72 (= tptp.c_ordinal @t232) :rule refl :args (@t232)) % 2.52/2.77 (step @p73 (= tptp.c_Inj0 @t234) :rule refl :args (@t234)) % 2.52/2.77 (step @p74 (= tptp.c_combine_funcs @t236) :rule refl :args (@t236)) % 2.52/2.77 (step @p75 (= tptp.c_setsum @t241) :rule refl :args (@t241)) % 2.52/2.77 (step @p76 (= tptp.c_proj0 @t244) :rule refl :args (@t244)) % 2.52/2.77 (step @p77 (= tptp.c_proj1 @t245) :rule refl :args (@t245)) % 2.52/2.77 (step @p78 (= tptp.c_binrep @t247) :rule refl :args (@t247)) % 2.52/2.77 (step @p79 (= tptp.c_lam @t252) :rule refl :args (@t252)) % 2.52/2.77 (step @p80 (= tptp.c_setprod @t255) :rule refl :args (@t255)) % 2.52/2.77 (step @p81 (= tptp.c_ap @t257) :rule refl :args (@t257)) % 2.52/2.77 (step @p82 (= tptp.c_setsum_p @t260) :rule refl :args (@t260)) % 2.52/2.77 (step @p83 (= tptp.c_tuple_p @t262) :rule refl :args (@t262)) % 2.52/2.77 (step @p84 (= tptp.c_Pi @t263) :rule refl :args (@t263)) % 2.52/2.77 (step @p85 (= tptp.c_setexp @t264) :rule refl :args (@t264)) % 2.52/2.77 (step @p86 (= tptp.c_Sep2 @t267) :rule refl :args (@t267)) % 2.52/2.77 (step @p87 (= tptp.c_set_of_pairs @t268) :rule refl :args (@t268)) % 2.52/2.77 (step @p88 (= tptp.c_lam2 @t270) :rule refl :args (@t270)) % 2.52/2.77 (step @p89 (= tptp.c_PNoEq_ @t274) :rule refl :args (@t274)) % 2.52/2.77 (step @p90 (= tptp.c_PNoLt_ @t275) :rule refl :args (@t275)) % 2.52/2.77 (step @p91 (= tptp.c_PNoLt @t281) :rule refl :args (@t281)) % 2.52/2.77 (step @p92 (= tptp.c_PNoLe @t282) :rule refl :args (@t282)) % 2.52/2.77 (step @p93 (= tptp.c_PNo_downc @t289) :rule refl :args (@t289)) % 2.52/2.77 (step @p94 (= tptp.c_PNo_upc @t290) :rule refl :args (@t290)) % 2.52/2.77 (step @p95 (= tptp.c_SNoElts_ @t294) :rule refl :args (@t294)) % 2.52/2.77 (step @p96 (= tptp.c_SNo_ @t299) :rule refl :args (@t299)) % 2.52/2.77 (step @p97 (= tptp.c_PSNo @t300) :rule refl :args (@t300)) % 2.52/2.77 (step @p98 (= tptp.c_SNo @t303) :rule refl :args (@t303)) % 2.52/2.77 (step @p99 (= tptp.c_SNoLev @t304) :rule refl :args (@t304)) % 2.52/2.77 (step @p100 (= tptp.c_SNoEq_ @t306) :rule refl :args (@t306)) % 2.52/2.77 (step @p101 (= tptp.c_SNoLt @t310) :rule refl :args (@t310)) % 2.52/2.77 (step @p102 (= tptp.c_SNoLe @t311) :rule refl :args (@t311)) % 2.52/2.77 (step @p103 (= tptp.c_binop_on @t312) :rule refl :args (@t312)) % 2.52/2.77 (step @p104 (= tptp.c_Loop @t321) :rule refl :args (@t321)) % 2.52/2.77 (step @p105 (= tptp.c_Loop_with_defs @t351) :rule refl :args (@t351)) % 2.52/2.77 (step @p106 (= tptp.c_Loop_with_defs_cex1 @t359) :rule refl :args (@t359)) % 2.52/2.77 (step @p107 (= tptp.c_Loop_with_defs_cex2 @t361) :rule refl :args (@t361)) % 2.52/2.77 (step @p108 (= tptp.c_combinator @t364) :rule refl :args (@t364)) % 2.52/2.77 (step @p109 (= tptp.c_combinator_equiv @t372) :rule refl :args (@t372)) % 2.52/2.77 (step @p110 (= tptp.c_equip_mod @t374) :rule refl :args (@t374)) % 2.52/2.77 (step @p111 :rule bool-double-not-elim :args ((and (forall @t712 (or (and (_ @t496 (_ @t497 (tptp.c_Eps_i (lambda @t30 (or (and @t711 (= @t24 (tptp.c_Repl @t659 (lambda @t710 (tptp.c_Eps_i (lambda @t709 (or (and @t707 @t708) (and (not @t707) (= @t700 (tptp.c_Eps_i (lambda @t58 (and @t699 (tptp.c_In @t57 (_ @t497 (tptp.c_Union (tptp.c_Repl @t398 (lambda @t23 (tptp.c_Eps_i (lambda @t698 (or (and @t428 (= @t697 (tptp.c_Repl @t487 (lambda @t431 (tptp.c_Repl @t430 @t696))))) (and @t429 (= @t697 (tptp.c_Repl @t397 @t696))))))))))))))))))))))) @t664))))) @t634 @t630) @t586)) @t449))) % 2.52/2.77 (step @p112 :rule refl :args ((tptp.c_Eps_i @t730))) % 2.52/2.77 (step @p113 :rule refl :args (@t376)) % 2.52/2.77 (step @p114 :rule refl :args ((_ @t191 @t57 @t725))) % 2.52/2.77 (step @p115 :rule refl :args ((tptp.c_Union @t724))) % 2.52/2.77 (step @p116 :rule refl :args ((tptp.c_Repl @t55 @t723))) % 2.52/2.77 (step @p117 :rule refl :args ((tptp.c_Eps_i @t722))) % 2.52/2.77 (step @p118 :rule refl :args (@t377)) % 2.52/2.77 (step @p119 :rule refl :args (@t378)) % 2.52/2.77 (step @p120 :rule cong :premises (@p119 @p118) :args (@t379)) % 2.52/2.77 (step @p121 :rule refl :args (@t381)) % 2.52/2.77 (step @p122 :rule cong :premises (@p121) :args (@t382)) % 2.52/2.77 (step @p123 :rule nary_cong :premises (@p122 @p120) :args (@t383)) % 2.52/2.77 (step @p124 :rule refl :args ((tptp.c_Repl @t55 @t720))) % 2.52/2.77 (step @p125 :rule refl :args ((tptp.c_Eps_i @t719))) % 2.52/2.77 (step @p126 :rule refl :args (@t385)) % 2.52/2.77 (step @p127 :rule refl :args (@t387)) % 2.52/2.77 (step @p128 :rule cong :premises (@p127) :args (@t388)) % 2.52/2.77 (step @p129 :rule nary_cong :premises (@p128 @p126) :args (@t389)) % 2.52/2.77 (step @p130 :rule nary_cong :premises (@p127 @p126) :args (@t390)) % 2.52/2.77 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t391)) % 2.52/2.77 (step @p132 :rule cong :premises (@p131) :args (@t393)) % 2.52/2.77 (step @p133 :rule cong :premises (@p132) :args (@t394)) % 2.52/2.77 (step @p134 :rule trans :premises (@p133 @p125)) % 2.52/2.77 (step @p135 :rule cong :premises (@p134) :args (@t396)) % 2.52/2.77 (step @p136 :rule refl :args ((tptp.c_Power @t54))) % 2.52/2.77 (step @p137 :rule refl :args (@t397)) % 2.52/2.77 (step @p138 :rule cong :premises (@p137) :args (@t398)) % 2.52/2.77 (step @p139 :rule trans :premises (@p138 @p136)) % 2.52/2.77 (step @p140 :rule cong :premises (@p139 @p135) :args (@t399)) % 2.52/2.77 (step @p141 :rule trans :premises (@p140 @p124)) % 2.52/2.77 (step @p142 :rule cong :premises (@p141 @p118) :args (@t400)) % 2.52/2.77 (step @p143 :rule nary_cong :premises (@p121 @p142) :args (@t401)) % 2.52/2.77 (step @p144 :rule nary_cong :premises (@p143 @p123) :args (@t402)) % 2.52/2.77 (step @p145 :rule cong :premises (@p144) :args (@t404)) % 2.52/2.77 (step @p146 :rule cong :premises (@p145) :args (@t405)) % 2.52/2.77 (step @p147 :rule trans :premises (@p146 @p117)) % 2.52/2.77 (step @p148 :rule cong :premises (@p147) :args (@t407)) % 2.52/2.77 (step @p149 :rule cong :premises (@p139 @p148) :args (@t408)) % 2.52/2.77 (step @p150 :rule trans :premises (@p149 @p116)) % 2.52/2.77 (step @p151 :rule cong :premises (@p150) :args (@t409)) % 2.52/2.77 (step @p152 :rule trans :premises (@p151 @p115)) % 2.52/2.77 (step @p153 :rule refl :args (@t57)) % 2.52/2.77 (step @p154 :rule cong :premises (@p153 @p152) :args (@t410)) % 2.52/2.77 (step @p155 :rule trans :premises (@p154 @p114)) % 2.52/2.77 (step @p156 :rule refl :args ((_ @t191 @t199 @t200))) % 2.52/2.77 (step @p157 :rule refl :args (@t411)) % 2.52/2.77 (step @p158 :rule refl :args (@t199)) % 2.52/2.77 (step @p159 :rule cong :premises (@p158 @p157) :args (@t412)) % 2.52/2.77 (step @p160 :rule trans :premises (@p159 @p156)) % 2.52/2.77 (step @p161 :rule refl :args (@t413)) % 2.52/2.77 (step @p162 :rule cong :premises (@p161) :args (@t414)) % 2.52/2.77 (step @p163 :rule nary_cong :premises (@p162 @p160) :args (@t415)) % 2.52/2.77 (step @p164 :rule cong :premises (@p163) :args (@t416)) % 2.52/2.77 (step @p165 :rule cong :premises (@p164) :args (@t417)) % 2.52/2.77 (step @p166 :rule nary_cong :premises (@p165 @p155) :args (@t418)) % 2.52/2.77 (step @p167 :rule cong :premises (@p166) :args (@t419)) % 2.52/2.77 (step @p168 :rule cong :premises (@p167) :args (@t420)) % 2.52/2.77 (step @p169 :rule nary_cong :premises (@p168 @p113) :args (@t421)) % 2.52/2.77 (step @p170 :rule cong :premises (@p169) :args (@t422)) % 2.52/2.77 (step @p171 :rule cong :premises (@p170) :args (@t424)) % 2.52/2.77 (step @p172 :rule cong :premises (@p171) :args (@t425)) % 2.52/2.77 (step @p173 :rule trans :premises (@p172 @p112)) % 2.52/2.77 (step @p174 :rule refl :args (tptp.c_Eps_i)) % 2.52/2.77 (step @p175 :rule ho_cong :premises (@p174 @p171)) % 2.52/2.77 (step @p176 :rule cong :premises (@p175 @p173) :args ((= @t731 @t425))) % 2.52/2.77 (step @p177 :rule symm :premises (@p176)) % 2.52/2.77 (step @p178 :rule refl :args ((_ tptp.c_Eps_i @t730))) % 2.52/2.77 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 2.52/2.77 (step @p180 :rule cong :premises (@p179) :args (@t732)) % 2.52/2.77 (step @p181 :rule refl :args (@t397)) % 2.52/2.77 (step @p182 :rule cong :premises (@p181 @p180) :args (@t733)) % 2.52/2.77 (step @p183 :rule refl :args (@t24)) % 2.52/2.77 (step @p184 :rule cong :premises (@p183 @p182) :args (@t734)) % 2.52/2.77 (step @p185 :rule refl :args (@t429)) % 2.52/2.77 (step @p186 :rule nary_cong :premises (@p185 @p184) :args (@t735)) % 2.52/2.77 (step @p187 :rule refl :args (@t430)) % 2.52/2.77 (step @p188 :rule cong :premises (@p187 @p180) :args (@t736)) % 2.52/2.77 (step @p189 :rule cong :premises (@p188) :args (@t737)) % 2.52/2.77 (step @p190 :rule refl :args (@t398)) % 2.52/2.77 (step @p191 :rule cong :premises (@p190 @p180) :args (@t738)) % 2.52/2.77 (step @p192 :rule refl :args (@t433)) % 2.52/2.77 (step @p193 :rule cong :premises (@p192 @p191) :args (@t739)) % 2.52/2.77 (step @p194 :rule refl :args (@t436)) % 2.52/2.77 (step @p195 :rule nary_cong :premises (@p194 @p193) :args (@t740)) % 2.52/2.77 (step @p196 :rule refl :args (@t437)) % 2.52/2.77 (step @p197 :rule cong :premises (@p196 @p182) :args (@t741)) % 2.52/2.77 (step @p198 :rule refl :args (@t440)) % 2.52/2.77 (step @p199 :rule nary_cong :premises (@p198 @p197) :args (@t742)) % 2.52/2.77 (step @p200 :rule cong :premises (@p190 @p189) :args (@t743)) % 2.52/2.77 (step @p201 :rule cong :premises (@p196 @p200) :args (@t744)) % 2.52/2.77 (step @p202 :rule refl :args (@t439)) % 2.52/2.77 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t745)) % 2.52/2.77 (step @p204 :rule nary_cong :premises (@p203 @p199) :args (@t746)) % 2.52/2.77 (step @p205 :rule cong :premises (@p204) :args (@t747)) % 2.52/2.77 (step @p206 :rule cong :premises (@p205) :args (@t748)) % 2.52/2.77 (step @p207 :rule cong :premises (@p206) :args (@t749)) % 2.52/2.77 (step @p208 :rule cong :premises (@p190 @p207) :args (@t750)) % 2.52/2.77 (step @p209 :rule cong :premises (@p208) :args (@t751)) % 2.52/2.77 (step @p210 :rule cong :premises (@p209) :args (@t752)) % 2.52/2.77 (step @p211 :rule cong :premises (@p210 @p189) :args (@t753)) % 2.52/2.77 (step @p212 :rule cong :premises (@p192 @p211) :args (@t754)) % 2.52/2.77 (step @p213 :rule refl :args (@t435)) % 2.52/2.77 (step @p214 :rule nary_cong :premises (@p213 @p212) :args (@t755)) % 2.52/2.77 (step @p215 :rule nary_cong :premises (@p214 @p195) :args (@t756)) % 2.52/2.77 (step @p216 :rule cong :premises (@p215) :args (@t757)) % 2.52/2.77 (step @p217 :rule cong :premises (@p216) :args (@t758)) % 2.52/2.77 (step @p218 :rule cong :premises (@p217) :args (@t759)) % 2.52/2.77 (step @p219 :rule cong :premises (@p190 @p218) :args (@t760)) % 2.52/2.77 (step @p220 :rule cong :premises (@p219) :args (@t761)) % 2.52/2.77 (step @p221 :rule cong :premises (@p220 @p189) :args (@t762)) % 2.52/2.77 (step @p222 :rule cong :premises (@p183 @p221) :args (@t763)) % 2.52/2.77 (step @p223 :rule refl :args (@t428)) % 2.52/2.77 (step @p224 :rule nary_cong :premises (@p223 @p222) :args (@t764)) % 2.52/2.77 (step @p225 :rule nary_cong :premises (@p224 @p186) :args (@t765)) % 2.52/2.77 (step @p226 :rule cong :premises (@p225) :args (@t766)) % 2.52/2.77 (step @p227 :rule cong :premises (@p226) :args (@t767)) % 2.52/2.77 (step @p228 :rule cong :premises (@p227) :args (@t768)) % 2.52/2.77 (step @p229 :rule cong :premises (@p190 @p228) :args (@t769)) % 2.52/2.77 (step @p230 :rule cong :premises (@p229) :args (@t770)) % 2.52/2.77 (step @p231 :rule cong :premises (@p230) :args (@t771)) % 2.52/2.77 (step @p232 :rule cong :premises (@p231) :args (@t772)) % 2.52/2.77 (step @p233 :rule cong :premises (@p232) :args (@t773)) % 2.52/2.77 (step @p234 :rule cong :premises (@p233) :args (@t774)) % 2.52/2.77 (step @p235 :rule cong :premises (@p234) :args (@t775)) % 2.52/2.77 (step @p236 :rule cong :premises (@p235) :args ((forall @t448 @t775))) % 2.52/2.77 ; WARNING: add trust step for TRUST_THEORY_REWRITE % 2.52/2.77 ; trust TRUST_THEORY_REWRITE % 2.52/2.77 (step @p237 :rule trust :premises () :args ((= (lambda @t23 (tptp.c_Eps_i (lambda @t30 (or (and @t428 (= @t24 (tptp.c_Repl (tptp.c_Union (tptp.c_Repl @t398 (lambda @t444 (tptp.c_Eps_i (lambda @t443 (or (and @t435 (= @t433 (tptp.c_Repl (tptp.c_Power (tptp.c_Union (tptp.c_Repl @t398 (lambda @t442 (tptp.c_Eps_i (lambda @t441 (or (and @t439 (= @t437 (tptp.c_Repl @t398 @t779))) (and @t440 (= @t437 @t778))))))))) @t779))) (and @t436 (= @t433 (tptp.c_Repl @t398 @t777))))))))) @t779))) (and @t429 (= @t24 @t778)))))) @t768))) % 2.52/2.77 (step @p238 :rule refl :args (@t776)) % 2.52/2.77 (step @p239 :rule eq-symm :args (@t377 @t378)) % 2.52/2.77 (step @p240 :rule refl :args (@t382)) % 2.52/2.77 (step @p241 :rule nary_cong :premises (@p240 @p239) :args (@t780)) % 2.52/2.77 (step @p242 :rule eq-symm :args (@t377 @t399)) % 2.52/2.77 (step @p243 :rule refl :args (@t381)) % 2.52/2.77 (step @p244 :rule nary_cong :premises (@p243 @p242) :args (@t781)) % 2.52/2.77 (step @p245 :rule nary_cong :premises (@p244 @p241) :args (@t782)) % 2.52/2.77 (step @p246 :rule cong :premises (@p245) :args (@t783)) % 2.52/2.77 (step @p247 :rule cong :premises (@p246) :args (@t784)) % 2.52/2.77 (step @p248 :rule cong :premises (@p247) :args (@t785)) % 2.52/2.77 (step @p249 :rule refl :args (@t398)) % 2.52/2.77 (step @p250 :rule cong :premises (@p249 @p248) :args (@t786)) % 2.52/2.77 (step @p251 :rule cong :premises (@p250) :args (@t787)) % 2.52/2.77 (step @p252 :rule refl :args (@t57)) % 2.52/2.77 (step @p253 :rule cong :premises (@p252 @p251) :args (@t788)) % 2.52/2.77 (step @p254 :rule refl :args (@t417)) % 2.52/2.77 (step @p255 :rule nary_cong :premises (@p254 @p253) :args (@t789)) % 2.52/2.77 (step @p256 :rule cong :premises (@p255) :args (@t790)) % 2.52/2.77 (step @p257 :rule cong :premises (@p256) :args (@t791)) % 2.52/2.77 (step @p258 :rule nary_cong :premises (@p257 @p238) :args (@t792)) % 2.52/2.77 (step @p259 :rule cong :premises (@p258) :args (@t793)) % 2.52/2.77 (step @p260 :rule cong :premises (@p259) :args (@t794)) % 2.52/2.77 (step @p261 :rule refl :args (tptp.c_Eps_i)) % 2.52/2.77 (step @p262 :rule ho_cong :premises (@p261 @p260)) % 2.52/2.77 (step @p263 :rule cong :premises (@p262) :args (@t795)) % 2.52/2.77 (step @p264 :rule refl :args (@t397)) % 2.52/2.77 (step @p265 :rule cong :premises (@p264 @p263) :args (@t796)) % 2.52/2.77 (step @p266 :rule refl :args (@t24)) % 2.52/2.77 (step @p267 :rule cong :premises (@p266 @p265) :args (@t797)) % 2.52/2.77 (step @p268 :rule refl :args (@t429)) % 2.52/2.77 (step @p269 :rule nary_cong :premises (@p268 @p267) :args (@t798)) % 2.52/2.77 (step @p270 :rule refl :args (@t430)) % 2.52/2.77 (step @p271 :rule cong :premises (@p270 @p263) :args (@t799)) % 2.52/2.77 (step @p272 :rule cong :premises (@p271) :args (@t800)) % 2.52/2.77 (step @p273 :rule cong :premises (@p249 @p263) :args (@t801)) % 2.52/2.77 (step @p274 :rule refl :args (@t433)) % 2.52/2.77 (step @p275 :rule cong :premises (@p274 @p273) :args (@t802)) % 2.52/2.77 (step @p276 :rule refl :args (@t436)) % 2.52/2.77 (step @p277 :rule nary_cong :premises (@p276 @p275) :args (@t803)) % 2.52/2.77 (step @p278 :rule refl :args (@t437)) % 2.52/2.77 (step @p279 :rule cong :premises (@p278 @p265) :args (@t804)) % 2.52/2.77 (step @p280 :rule refl :args (@t440)) % 2.52/2.77 (step @p281 :rule nary_cong :premises (@p280 @p279) :args (@t805)) % 2.52/2.77 (step @p282 :rule cong :premises (@p249 @p272) :args (@t806)) % 2.52/2.77 (step @p283 :rule cong :premises (@p278 @p282) :args (@t807)) % 2.52/2.77 (step @p284 :rule refl :args (@t439)) % 2.52/2.77 (step @p285 :rule nary_cong :premises (@p284 @p283) :args (@t808)) % 2.52/2.77 (step @p286 :rule nary_cong :premises (@p285 @p281) :args (@t809)) % 2.52/2.77 (step @p287 :rule cong :premises (@p286) :args (@t810)) % 2.52/2.77 (step @p288 :rule cong :premises (@p287) :args (@t811)) % 2.52/2.77 (step @p289 :rule cong :premises (@p288) :args (@t812)) % 2.52/2.77 (step @p290 :rule cong :premises (@p249 @p289) :args (@t813)) % 2.52/2.77 (step @p291 :rule cong :premises (@p290) :args (@t814)) % 2.52/2.77 (step @p292 :rule cong :premises (@p291) :args (@t815)) % 2.52/2.77 (step @p293 :rule cong :premises (@p292 @p272) :args (@t816)) % 2.52/2.77 (step @p294 :rule cong :premises (@p274 @p293) :args (@t817)) % 2.52/2.77 (step @p295 :rule refl :args (@t435)) % 2.52/2.77 (step @p296 :rule nary_cong :premises (@p295 @p294) :args (@t818)) % 2.52/2.77 (step @p297 :rule nary_cong :premises (@p296 @p277) :args (@t819)) % 2.52/2.77 (step @p298 :rule cong :premises (@p297) :args (@t820)) % 2.52/2.77 (step @p299 :rule cong :premises (@p298) :args (@t821)) % 2.52/2.77 (step @p300 :rule cong :premises (@p299) :args (@t822)) % 2.52/2.77 (step @p301 :rule cong :premises (@p249 @p300) :args (@t823)) % 2.52/2.77 (step @p302 :rule cong :premises (@p301) :args (@t824)) % 2.52/2.77 (step @p303 :rule cong :premises (@p302 @p272) :args (@t825)) % 2.52/2.77 (step @p304 :rule cong :premises (@p266 @p303) :args (@t826)) % 2.52/2.77 (step @p305 :rule refl :args (@t428)) % 2.52/2.77 (step @p306 :rule nary_cong :premises (@p305 @p304) :args (@t827)) % 2.52/2.77 (step @p307 :rule nary_cong :premises (@p306 @p269) :args (@t828)) % 2.52/2.77 (step @p308 :rule cong :premises (@p307) :args (@t829)) % 2.52/2.77 ; trust TRUST_THEORY_REWRITE % 2.52/2.77 (step @p309 :rule trust :premises () :args ((= (lambda @t30 (or (and @t428 (= @t24 (tptp.c_Repl (tptp.c_Union (tptp.c_Repl @t398 (lambda @t444 (tptp.c_Eps_i (lambda @t443 (or (and @t435 (= @t433 @t847)) (and @t436 (= @t433 (tptp.c_Repl @t398 @t831))))))))) @t834))) (and @t429 (= @t24 @t832)))) @t829))) % 2.52/2.77 (step @p310 :rule trans :premises (@p309 @p308)) % 2.52/2.77 (step @p311 :rule refl :args (@t457)) % 2.52/2.77 (step @p312 :rule bool-impl-false1 :args (@t381)) % 2.52/2.77 (step @p313 :rule nary_cong :premises (@p312 @p311) :args (@t848)) % 2.52/2.77 (step @p314 :rule refl :args (@t385)) % 2.52/2.77 (step @p315 :rule bool-impl-false1 :args (@t387)) % 2.52/2.77 (step @p316 :rule nary_cong :premises (@p315 @p314) :args (@t849)) % 2.52/2.77 (step @p317 :rule refl :args (@t390)) % 2.52/2.77 (step @p318 :rule nary_cong :premises (@p317 @p316) :args (@t850)) % 2.52/2.77 (step @p319 :rule cong :premises (@p318) :args (@t851)) % 2.52/2.77 (step @p320 :rule cong :premises (@p319) :args (@t852)) % 2.52/2.77 (step @p321 :rule cong :premises (@p320) :args (@t853)) % 2.52/2.77 (step @p322 :rule cong :premises (@p249 @p321) :args (@t854)) % 2.52/2.77 (step @p323 :rule cong :premises (@p266 @p322) :args (@t855)) % 2.52/2.77 (step @p324 :rule nary_cong :premises (@p243 @p323) :args (@t856)) % 2.52/2.77 (step @p325 :rule nary_cong :premises (@p324 @p313) :args (@t857)) % 2.52/2.77 (step @p326 :rule cong :premises (@p325) :args (@t858)) % 2.52/2.77 (step @p327 :rule cong :premises (@p326) :args (@t859)) % 2.52/2.77 (step @p328 :rule cong :premises (@p327) :args (@t860)) % 2.52/2.77 (step @p329 :rule cong :premises (@p249 @p328) :args (@t861)) % 2.52/2.77 (step @p330 :rule cong :premises (@p329) :args (@t862)) % 2.52/2.77 (step @p331 :rule cong :premises (@p252 @p330) :args (@t863)) % 2.52/2.77 (step @p332 :rule nary_cong :premises (@p254 @p331) :args (@t864)) % 2.52/2.77 (step @p333 :rule cong :premises (@p332) :args (@t865)) % 2.52/2.77 (step @p334 :rule cong :premises (@p333) :args (@t866)) % 2.52/2.77 (step @p335 :rule nary_cong :premises (@p334 @p238) :args (@t867)) % 2.52/2.77 (step @p336 :rule cong :premises (@p335) :args (@t868)) % 2.52/2.77 (step @p337 :rule cong :premises (@p336) :args (@t869)) % 2.52/2.77 (step @p338 :rule ho_cong :premises (@p261 @p337)) % 2.52/2.77 (step @p339 :rule cong :premises (@p338) :args (@t870)) % 2.52/2.77 (step @p340 :rule cong :premises (@p264 @p339) :args (@t871)) % 2.52/2.77 (step @p341 :rule cong :premises (@p266 @p340) :args (@t872)) % 2.52/2.77 (step @p342 :rule bool-impl-false1 :args (@t428)) % 2.52/2.77 (step @p343 :rule nary_cong :premises (@p342 @p341) :args (@t874)) % 2.52/2.77 (step @p344 :rule cong :premises (@p270 @p339) :args (@t875)) % 2.52/2.77 (step @p345 :rule cong :premises (@p344) :args (@t876)) % 2.52/2.77 (step @p346 :rule cong :premises (@p249 @p339) :args (@t877)) % 2.52/2.77 (step @p347 :rule cong :premises (@p274 @p346) :args (@t878)) % 2.52/2.77 (step @p348 :rule bool-impl-false1 :args (@t435)) % 2.52/2.77 (step @p349 :rule nary_cong :premises (@p348 @p347) :args (@t879)) % 2.52/2.77 (step @p350 :rule eq-symm :args (@t847 @t433)) % 2.52/2.77 (step @p351 :rule eq-symm :args (@t832 @t437)) % 2.52/2.77 (step @p352 :rule cong :premises (@p340 @p278) :args (@t880)) % 2.52/2.77 (step @p353 :rule trans :premises (@p352 @p351)) % 2.52/2.77 (step @p354 :rule bool-impl-false1 :args (@t439)) % 2.52/2.77 (step @p355 :rule nary_cong :premises (@p354 @p353) :args (@t881)) % 2.52/2.77 (step @p356 :rule cong :premises (@p249 @p345) :args (@t882)) % 2.52/2.77 (step @p357 :rule cong :premises (@p278 @p356) :args (@t883)) % 2.52/2.77 (step @p358 :rule nary_cong :premises (@p284 @p357) :args (@t884)) % 2.52/2.77 (step @p359 :rule nary_cong :premises (@p358 @p355) :args (@t885)) % 2.52/2.77 (step @p360 :rule cong :premises (@p359) :args (@t886)) % 2.52/2.77 (step @p361 :rule cong :premises (@p360) :args (@t887)) % 2.52/2.77 (step @p362 :rule cong :premises (@p361) :args (@t888)) % 2.52/2.77 (step @p363 :rule cong :premises (@p249 @p362) :args (@t889)) % 2.52/2.77 (step @p364 :rule cong :premises (@p363) :args (@t890)) % 2.52/2.77 (step @p365 :rule cong :premises (@p364) :args (@t891)) % 2.52/2.77 (step @p366 :rule cong :premises (@p365 @p345) :args (@t892)) % 2.52/2.77 (step @p367 :rule cong :premises (@p366 @p274) :args (@t893)) % 2.52/2.77 (step @p368 :rule trans :premises (@p367 @p350)) % 2.52/2.77 (step @p369 :rule nary_cong :premises (@p295 @p368) :args (@t894)) % 2.52/2.77 (step @p370 :rule nary_cong :premises (@p369 @p349) :args (@t895)) % 2.52/2.77 (step @p371 :rule cong :premises (@p370) :args (@t896)) % 2.52/2.77 (step @p372 :rule cong :premises (@p371) :args (@t897)) % 2.52/2.77 (step @p373 :rule cong :premises (@p372) :args (@t898)) % 2.52/2.77 (step @p374 :rule cong :premises (@p249 @p373) :args (@t899)) % 2.52/2.77 (step @p375 :rule cong :premises (@p374) :args (@t900)) % 2.52/2.77 (step @p376 :rule cong :premises (@p375 @p345) :args (@t901)) % 2.52/2.77 (step @p377 :rule cong :premises (@p266 @p376) :args (@t902)) % 2.52/2.77 (step @p378 :rule nary_cong :premises (@p305 @p377) :args (@t903)) % 2.52/2.77 (step @p379 :rule nary_cong :premises (@p378 @p343) :args (@t904)) % 2.52/2.77 (step @p380 :rule cong :premises (@p379) :args (@t905)) % 2.52/2.77 (step @p381 :rule trans :premises (@p380 @p310)) % 2.52/2.77 (step @p382 :rule cong :premises (@p381) :args (@t906)) % 2.52/2.77 (step @p383 :rule cong :premises (@p382) :args (@t907)) % 2.52/2.77 (step @p384 :rule trans :premises (@p383 @p237)) % 2.52/2.77 (step @p385 :rule cong :premises (@p249 @p384) :args (@t908)) % 2.52/2.77 (step @p386 :rule cong :premises (@p385) :args (@t909)) % 2.52/2.77 (step @p387 :rule cong :premises (@p386) :args (@t910)) % 2.52/2.77 (step @p388 :rule cong :premises (@p387) :args (@t911)) % 2.52/2.77 (step @p389 :rule cong :premises (@p388) :args (@t912)) % 2.52/2.77 (step @p390 :rule cong :premises (@p389) :args (@t913)) % 2.52/2.77 (step @p391 :rule cong :premises (@p390) :args (@t914)) % 2.52/2.77 (step @p392 :rule cong :premises (@p391) :args (@t915)) % 2.52/2.77 (step @p393 :rule trans :premises (@p392 @p236)) % 2.52/2.77 (step @p394 :rule aci_norm :args ((= @t916 @t915))) % 2.52/2.77 (step @p395 :rule trans :premises (@p394 @p393)) % 2.52/2.77 (step @p396 :rule refl :args (@t586)) % 2.52/2.77 (step @p397 :rule refl :args (@t630)) % 2.52/2.77 (step @p398 :rule refl :args (@t634)) % 2.52/2.77 (step @p399 :rule refl :args (@t664)) % 2.52/2.77 (step @p400 :rule refl :args ((tptp.c_Eps_i @t922))) % 2.52/2.77 (step @p401 :rule refl :args (@t666)) % 2.52/2.77 (step @p402 :rule refl :args ((_ @t191 @t668 @t921))) % 2.52/2.77 (step @p403 :rule refl :args ((tptp.c_Union @t920))) % 2.52/2.77 (step @p404 :rule refl :args ((tptp.c_Repl @t55 @t919))) % 2.52/2.77 (step @p405 :rule refl :args ((tptp.c_Eps_i @t918))) % 2.52/2.77 (step @p406 :rule refl :args (@t667)) % 2.52/2.77 (step @p407 :rule refl :args (@t669)) % 2.52/2.77 (step @p408 :rule cong :premises (@p407 @p406) :args (@t670)) % 2.52/2.77 (step @p409 :rule nary_cong :premises (@p122 @p408) :args (@t671)) % 2.52/2.77 (step @p410 :rule cong :premises (@p141 @p406) :args (@t672)) % 2.52/2.77 (step @p411 :rule nary_cong :premises (@p121 @p410) :args (@t673)) % 2.52/2.77 (step @p412 :rule nary_cong :premises (@p411 @p409) :args (@t674)) % 2.52/2.77 (step @p413 :rule cong :premises (@p412) :args (@t676)) % 2.52/2.77 (step @p414 :rule cong :premises (@p413) :args (@t677)) % 2.52/2.77 (step @p415 :rule trans :premises (@p414 @p405)) % 2.52/2.77 (step @p416 :rule cong :premises (@p415) :args (@t678)) % 2.52/2.77 (step @p417 :rule cong :premises (@p139 @p416) :args (@t679)) % 2.52/2.77 (step @p418 :rule trans :premises (@p417 @p404)) % 2.52/2.77 (step @p419 :rule cong :premises (@p418) :args (@t680)) % 2.52/2.77 (step @p420 :rule trans :premises (@p419 @p403)) % 2.52/2.77 (step @p421 :rule refl :args (@t668)) % 2.52/2.77 (step @p422 :rule cong :premises (@p421 @p420) :args (@t681)) % 2.52/2.77 (step @p423 :rule trans :premises (@p422 @p402)) % 2.52/2.77 (step @p424 :rule refl :args (@t682)) % 2.52/2.77 (step @p425 :rule cong :premises (@p424) :args (@t683)) % 2.52/2.77 (step @p426 :rule nary_cong :premises (@p425 @p160) :args (@t684)) % 2.52/2.77 (step @p427 :rule cong :premises (@p426) :args (@t685)) % 2.52/2.77 (step @p428 :rule cong :premises (@p427) :args (@t686)) % 2.52/2.77 (step @p429 :rule nary_cong :premises (@p428 @p423) :args (@t687)) % 2.52/2.77 (step @p430 :rule cong :premises (@p429) :args (@t689)) % 2.52/2.77 (step @p431 :rule cong :premises (@p430) :args (@t690)) % 2.52/2.77 (step @p432 :rule nary_cong :premises (@p431 @p401) :args (@t691)) % 2.52/2.77 (step @p433 :rule cong :premises (@p432) :args (@t692)) % 2.52/2.77 (step @p434 :rule cong :premises (@p433) :args (@t694)) % 2.52/2.77 (step @p435 :rule cong :premises (@p434) :args (@t695)) % 2.52/2.77 (step @p436 :rule trans :premises (@p435 @p400)) % 2.52/2.77 (step @p437 :rule ho_cong :premises (@p174 @p434)) % 2.52/2.77 (step @p438 :rule cong :premises (@p437 @p436) :args ((= @t923 @t695))) % 2.52/2.77 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(@t613)) % 2.52/2.77 (step @p916 :rule nary_cong :premises (@p915 @p881) :args (@t1229)) % 2.52/2.77 (step @p917 :rule refl :args (@t614)) % 2.52/2.77 (step @p918 :rule nary_cong :premises (@p917 @p916) :args (@t1230)) % 2.52/2.77 (step @p919 :rule cong :premises (@p918) :args (@t1231)) % 2.52/2.77 (step @p920 :rule cong :premises (@p919) :args (@t1232)) % 2.52/2.77 (step @p921 :rule cong :premises (@p920) :args (@t1233)) % 2.52/2.77 (step @p922 :rule cong :premises (@p249 @p921) :args (@t1234)) % 2.52/2.77 (step @p923 :rule cong :premises (@p922) :args (@t1235)) % 2.52/2.77 (step @p924 :rule refl :args (@t616)) % 2.52/2.77 (step @p925 :rule cong :premises (@p924 @p923) :args (@t1236)) % 2.52/2.77 (step @p926 :rule refl :args (@t617)) % 2.52/2.77 (step @p927 :rule nary_cong :premises (@p926 @p925) :args (@t1237)) % 2.52/2.77 (step @p928 :rule cong :premises (@p927) :args (@t1238)) % 2.52/2.77 (step @p929 :rule cong :premises (@p928) :args (@t1239)) % 2.52/2.77 (step @p930 :rule nary_cong :premises (@p929 @p914 @p906 @p905) :args (@t1240)) % 2.52/2.77 (step @p931 :rule trans :premises (@p930 @p901)) % 2.52/2.77 (step @p932 :rule cong :premises (@p931) :args (@t1241)) % 2.52/2.77 (step @p933 :rule cong :premises (@p932) :args (@t1242)) % 2.52/2.77 (step @p934 :rule nary_cong :premises (@p933 @p692) :args (@t1243)) % 2.52/2.77 (step @p935 :rule trans :premises (@p934 @p900)) % 2.52/2.77 (step @p936 :rule refl :args (@t625)) % 2.52/2.77 (step @p937 :rule nary_cong :premises (@p936 @p935 @p899 @p896) :args (@t1244)) % 2.52/2.77 (step @p938 :rule trans :premises (@p937 @p869)) % 2.52/2.77 (step @p939 :rule cong :premises (@p938) :args (@t1245)) % 2.52/2.77 (step @p940 :rule cong :premises (@p939) :args (@t1246)) % 2.52/2.77 (step @p941 :rule refl :args (@t629)) % 2.52/2.77 (step @p942 :rule nary_cong :premises (@p941 @p940) :args (@t1247)) % 2.52/2.77 (step @p943 :rule cong :premises (@p942) :args (@t1248)) % 2.52/2.77 (step @p944 :rule cong :premises (@p943) :args (@t1249)) % 2.52/2.77 (step @p945 :rule refl :args (@t634)) % 2.52/2.77 (step @p946 :rule refl :args (@t635)) % 2.52/2.77 (step @p947 :rule refl :args (@t637)) % 2.52/2.77 (step @p948 :rule eq-symm :args (@t638 @t378)) % 2.52/2.77 (step @p949 :rule nary_cong :premises (@p240 @p948) :args (@t1250)) % 2.52/2.77 (step @p950 :rule eq-symm :args (@t638 @t399)) % 2.52/2.77 (step @p951 :rule nary_cong :premises (@p243 @p950) :args (@t1251)) % 2.52/2.77 (step @p952 :rule nary_cong :premises (@p951 @p949) :args (@t1252)) % 2.52/2.77 (step @p953 :rule cong :premises (@p952) :args (@t1253)) % 2.52/2.77 (step @p954 :rule cong :premises (@p953) :args (@t1254)) % 2.52/2.77 (step @p955 :rule cong :premises (@p954) :args (@t1255)) % 2.52/2.77 (step @p956 :rule cong :premises (@p249 @p955) :args (@t1256)) % 2.52/2.77 (step @p957 :rule cong :premises (@p956) :args (@t1257)) % 2.52/2.77 (step @p958 :rule cong :premises (@p252 @p957) :args (@t1258)) % 2.52/2.77 (step @p959 :rule nary_cong :premises (@p254 @p958) :args (@t1259)) % 2.52/2.77 (step @p960 :rule cong :premises (@p959) :args (@t1260)) % 2.52/2.77 (step @p961 :rule cong :premises (@p960) :args (@t1261)) % 2.52/2.77 (step @p962 :rule nary_cong :premises (@p961 @p947) :args (@t1262)) % 2.52/2.77 (step @p963 :rule cong :premises (@p962) :args (@t1263)) % 2.52/2.77 (step @p964 :rule cong :premises (@p963) :args (@t1264)) % 2.52/2.77 (step @p965 :rule cong :premises (@p964) :args (@t1265)) % 2.52/2.77 (step @p966 :rule cong :premises (@p965) :args (@t1266)) % 2.52/2.77 (step @p967 :rule cong :premises (@p264 @p966) :args (@t1267)) % 2.52/2.77 (step @p968 :rule refl :args (@t656)) % 2.52/2.77 (step @p969 :rule cong :premises (@p968 @p967) :args (@t1268)) % 2.52/2.77 (step @p970 :rule nary_cong :premises (@p268 @p969) :args (@t1269)) % 2.52/2.77 (step @p971 :rule cong :premises (@p270 @p966) :args (@t1270)) % 2.52/2.77 (step @p972 :rule cong :premises (@p971) :args (@t1271)) % 2.52/2.77 (step @p973 :rule cong :premises (@p711 @p972) :args (@t1272)) % 2.52/2.77 (step @p974 :rule cong :premises (@p968 @p973) :args (@t1273)) % 2.52/2.77 (step @p975 :rule nary_cong :premises (@p305 @p974) :args (@t1274)) % 2.52/2.77 (step @p976 :rule nary_cong :premises (@p975 @p970) :args (@t1275)) % 2.52/2.77 (step @p977 :rule cong :premises (@p976) :args (@t1276)) % 2.52/2.77 (step @p978 :rule cong :premises (@p977) :args (@t1277)) % 2.52/2.77 (step @p979 :rule cong :premises (@p978) :args (@t1278)) % 2.52/2.77 (step @p980 :rule cong :premises (@p249 @p979) :args (@t1279)) % 2.52/2.77 (step @p981 :rule cong :premises (@p980) :args (@t1280)) % 2.52/2.77 (step @p982 :rule cong :premises (@p981) :args (@t1281)) % 2.52/2.77 (step @p983 :rule refl :args (@t658)) % 2.52/2.77 (step @p984 :rule cong :premises (@p983 @p982) :args (@t1282)) % 2.52/2.77 (step @p985 :rule cong :premises (@p984) :args (@t1283)) % 2.52/2.77 (step @p986 :rule refl :args (@t661)) % 2.52/2.77 (step @p987 :rule nary_cong :premises (@p986 @p985) :args (@t1284)) % 2.52/2.77 (step @p988 :rule cong :premises (@p987) :args (@t1285)) % 2.52/2.77 (step @p989 :rule nary_cong :premises (@p988 @p946) :args (@t1286)) % 2.52/2.77 (step @p990 :rule refl :args (@t666)) % 2.52/2.77 (step @p991 :rule eq-symm :args (@t667 @t669)) % 2.52/2.77 (step @p992 :rule nary_cong :premises (@p240 @p991) :args (@t1287)) % 2.52/2.77 (step @p993 :rule eq-symm :args (@t667 @t399)) % 2.52/2.77 (step @p994 :rule nary_cong :premises (@p243 @p993) :args (@t1288)) % 2.52/2.77 (step @p995 :rule nary_cong :premises (@p994 @p992) :args (@t1289)) % 2.52/2.77 (step @p996 :rule cong :premises (@p995) :args (@t1290)) % 2.52/2.77 (step @p997 :rule cong :premises (@p996) :args (@t1291)) % 2.52/2.77 (step @p998 :rule cong :premises (@p997) :args (@t1292)) % 2.52/2.77 (step @p999 :rule cong :premises (@p249 @p998) :args (@t1293)) % 2.52/2.77 (step @p1000 :rule cong :premises (@p999) :args (@t1294)) % 2.52/2.77 (step @p1001 :rule refl :args (@t668)) % 2.52/2.77 (step @p1002 :rule cong :premises (@p1001 @p1000) :args (@t1295)) % 2.52/2.77 (step @p1003 :rule refl :args (@t686)) % 2.52/2.77 (step @p1004 :rule nary_cong :premises (@p1003 @p1002) :args (@t1296)) % 2.52/2.77 (step @p1005 :rule cong :premises (@p1004) :args (@t1297)) % 2.52/2.77 (step @p1006 :rule cong :premises (@p1005) :args (@t1298)) % 2.52/2.77 (step @p1007 :rule nary_cong :premises (@p1006 @p990) :args (@t1299)) % 2.52/2.77 (step @p1008 :rule cong :premises (@p1007) :args (@t1300)) % 2.52/2.77 (step @p1009 :rule cong :premises (@p1008) :args (@t1301)) % 2.52/2.77 (step @p1010 :rule ho_cong :premises (@p261 @p1009)) % 2.52/2.77 (step @p1011 :rule cong :premises (@p1010) :args (@t1302)) % 2.52/2.77 (step @p1012 :rule cong :premises (@p264 @p1011) :args (@t1303)) % 2.52/2.77 (step @p1013 :rule refl :args (@t697)) % 2.52/2.77 (step @p1014 :rule cong :premises (@p1013 @p1012) :args (@t1304)) % 2.52/2.77 (step @p1015 :rule nary_cong :premises (@p268 @p1014) :args (@t1305)) % 2.52/2.77 (step @p1016 :rule cong :premises (@p270 @p1011) :args (@t1306)) % 2.52/2.77 (step @p1017 :rule cong :premises (@p1016) :args (@t1307)) % 2.52/2.77 (step @p1018 :rule cong :premises (@p711 @p1017) :args (@t1308)) % 2.52/2.77 (step @p1019 :rule cong :premises (@p1013 @p1018) :args (@t1309)) % 2.52/2.77 (step @p1020 :rule nary_cong :premises (@p305 @p1019) :args (@t1310)) % 2.52/2.77 (step @p1021 :rule nary_cong :premises (@p1020 @p1015) :args (@t1311)) % 2.52/2.77 (step @p1022 :rule cong :premises (@p1021) :args (@t1312)) % 2.52/2.77 (step @p1023 :rule cong :premises (@p1022) :args (@t1313)) % 2.52/2.77 (step @p1024 :rule cong :premises (@p1023) :args (@t1314)) % 2.52/2.77 (step @p1025 :rule cong :premises (@p249 @p1024) :args (@t1315)) % 2.52/2.77 (step @p1026 :rule cong :premises (@p1025) :args (@t1316)) % 2.52/2.77 (step @p1027 :rule cong :premises (@p1026) :args (@t1317)) % 2.52/2.77 (step @p1028 :rule cong :premises (@p252 @p1027) :args (@t1318)) % 2.52/2.77 (step @p1029 :rule refl :args (@t699)) % 2.52/2.77 (step @p1030 :rule nary_cong :premises (@p1029 @p1028) :args (@t1319)) % 2.52/2.77 (step @p1031 :rule cong :premises (@p1030) :args (@t1320)) % 2.52/2.77 (step @p1032 :rule cong :premises (@p1031) :args (@t1321)) % 2.52/2.77 (step @p1033 :rule refl :args (@t700)) % 2.52/2.77 (step @p1034 :rule cong :premises (@p1033 @p1032) :args (@t1322)) % 2.52/2.77 (step @p1035 :rule nary_cong :premises (@p961 @p990) :args (@t1323)) % 2.52/2.77 (step @p1036 :rule cong :premises (@p1035) :args (@t1324)) % 2.52/2.77 (step @p1037 :rule cong :premises (@p1036) :args (@t1325)) % 2.52/2.77 (step @p1038 :rule ho_cong :premises (@p261 @p1037)) % 2.52/2.77 (step @p1039 :rule cong :premises (@p1038) :args (@t1326)) % 2.52/2.77 (step @p1040 :rule cong :premises (@p264 @p1039) :args (@t1327)) % 2.52/2.77 (step @p1041 :rule cong :premises (@p1013 @p1040) :args (@t1328)) % 2.52/2.77 (step @p1042 :rule nary_cong :premises (@p268 @p1041) :args (@t1329)) % 2.52/2.77 (step @p1043 :rule cong :premises (@p270 @p1039) :args (@t1330)) % 2.52/2.77 (step @p1044 :rule cong :premises (@p1043) :args (@t1331)) % 2.52/2.77 (step @p1045 :rule cong :premises (@p711 @p1044) :args (@t1332)) % 2.52/2.77 (step @p1046 :rule cong :premises (@p1013 @p1045) :args (@t1333)) % 2.52/2.77 (step @p1047 :rule nary_cong :premises (@p305 @p1046) :args (@t1334)) % 2.52/2.77 (step @p1048 :rule nary_cong :premises (@p1047 @p1042) :args (@t1335)) % 2.52/2.77 (step @p1049 :rule cong :premises (@p1048) :args (@t1336)) % 2.52/2.77 (step @p1050 :rule cong :premises (@p1049) :args (@t1337)) % 2.52/2.77 (step @p1051 :rule cong :premises (@p1050) :args (@t1338)) % 2.52/2.77 (step @p1052 :rule cong :premises (@p249 @p1051) :args (@t1339)) % 2.52/2.77 (step @p1053 :rule cong :premises (@p1052) :args (@t1340)) % 2.52/2.77 (step @p1054 :rule cong :premises (@p1053) :args (@t1341)) % 2.52/2.77 (step @p1055 :rule refl :args (@t706)) % 2.52/2.77 (step @p1056 :rule cong :premises (@p1055 @p1054) :args (@t1342)) % 2.52/2.77 (step @p1057 :rule cong :premises (@p1056) :args (@t1343)) % 2.52/2.77 (step @p1058 :rule nary_cong :premises (@p1057 @p1034) :args (@t1344)) % 2.52/2.77 (step @p1059 :rule refl :args (@t708)) % 2.52/2.77 (step @p1060 :rule nary_cong :premises (@p1056 @p1059) :args (@t1345)) % 2.52/2.77 (step @p1061 :rule nary_cong :premises (@p1060 @p1058) :args (@t1346)) % 2.52/2.77 (step @p1062 :rule cong :premises (@p1061) :args (@t1347)) % 2.52/2.77 (step @p1063 :rule cong :premises (@p1062) :args (@t1348)) % 2.52/2.77 (step @p1064 :rule cong :premises (@p1063) :args (@t1349)) % 2.52/2.77 (step @p1065 :rule refl :args (@t659)) % 2.52/2.77 (step @p1066 :rule cong :premises (@p1065 @p1064) :args (@t1350)) % 2.52/2.77 (step @p1067 :rule cong :premises (@p266 @p1066) :args (@t1351)) % 2.52/2.77 (step @p1068 :rule cong :premises (@p988) :args (@t1352)) % 2.52/2.77 (step @p1069 :rule nary_cong :premises (@p1068 @p1067) :args (@t1353)) % 2.52/2.77 (step @p1070 :rule nary_cong :premises (@p1069 @p989) :args (@t1354)) % 2.52/2.77 (step @p1071 :rule cong :premises (@p1070) :args (@t1355)) % 2.52/2.77 ; trust TRUST_THEORY_REWRITE % 2.52/2.77 (step @p1072 :rule trust :premises () :args ((= (lambda @t30 (or (and (not @t1361) (= @t24 (tptp.c_Repl @t659 (lambda @t710 (tptp.c_Eps_i (lambda @t709 (or (and @t1367 @t708) (and (not @t1367) (= @t700 (tptp.c_Eps_i @t1363)))))))))) (and @t1361 @t635))) @t1355))) % 2.52/2.77 (step @p1073 :rule trans :premises (@p1072 @p1071)) % 2.52/2.77 (step @p1074 :rule refl :args ((tptp.c_Eps_i @t1368))) % 2.52/2.77 (step @p1075 :rule refl :args (@t637)) % 2.52/2.77 (step @p1076 :rule nary_cong :premises (@p564 @p1075) :args (@t1356)) % 2.52/2.77 (step @p1077 :rule cong :premises (@p1076) :args (@t1357)) % 2.52/2.77 (step @p1078 :rule cong :premises (@p1077) :args (@t1358)) % 2.52/2.77 (step @p1079 :rule cong :premises (@p1078) :args (@t1359)) % 2.52/2.77 (step @p1080 :rule trans :premises (@p1079 @p1074)) % 2.52/2.77 (step @p1081 :rule ho_cong :premises (@p174 @p1078)) % 2.52/2.77 (step @p1082 :rule cong :premises (@p1081 @p1080) :args ((= @t1369 @t1359))) % 2.52/2.77 (step @p1083 :rule symm :premises (@p1082)) % 2.52/2.77 (step @p1084 :rule refl :args ((_ tptp.c_Eps_i @t1368))) % 2.52/2.77 (step @p1085 :rule eq_resolve :premises (@p1084 @p1083)) % 2.52/2.77 (step @p1086 :rule cong :premises (@p1085) :args (@t1370)) % 2.52/2.77 (step @p1087 :rule cong :premises (@p181 @p1086) :args (@t1371)) % 2.52/2.77 (step @p1088 :rule refl :args (@t656)) % 2.52/2.77 (step @p1089 :rule cong :premises (@p1088 @p1087) :args (@t1372)) % 2.52/2.77 (step @p1090 :rule nary_cong :premises (@p185 @p1089) :args (@t1373)) % 2.52/2.77 (step @p1091 :rule cong :premises (@p187 @p1086) :args (@t1374)) % 2.52/2.77 (step @p1092 :rule cong :premises (@p1091) :args (@t1375)) % 2.52/2.77 (step @p1093 :rule cong :premises (@p449 @p1092) :args (@t1376)) % 2.52/2.77 (step @p1094 :rule cong :premises (@p1088 @p1093) :args (@t1377)) % 2.52/2.77 (step @p1095 :rule nary_cong :premises (@p223 @p1094) :args (@t1378)) % 2.52/2.77 (step @p1096 :rule nary_cong :premises (@p1095 @p1090) :args (@t1379)) % 2.52/2.77 (step @p1097 :rule cong :premises (@p1096) :args (@t1380)) % 2.52/2.77 (step @p1098 :rule cong :premises (@p1097) :args (@t1381)) % 2.52/2.77 (step @p1099 :rule cong :premises (@p1098) :args (@t1382)) % 2.52/2.77 (step @p1100 :rule cong :premises (@p190 @p1099) :args (@t1383)) % 2.52/2.77 (step @p1101 :rule cong :premises (@p1100) :args (@t1384)) % 2.52/2.77 (step @p1102 :rule cong :premises (@p1101) :args (@t1385)) % 2.52/2.77 (step @p1103 :rule refl :args (@t658)) % 2.52/2.77 (step @p1104 :rule cong :premises (@p1103 @p1102) :args (@t1386)) % 2.52/2.77 (step @p1105 :rule cong :premises (@p1104) :args (@t1387)) % 2.52/2.77 (step @p1106 :rule refl :args (@t661)) % 2.52/2.77 (step @p1107 :rule nary_cong :premises (@p1106 @p1105) :args (@t1388)) % 2.52/2.77 (step @p1108 :rule cong :premises (@p1107) :args ((forall @t662 @t1388))) % 2.52/2.77 ; trust TRUST_THEORY_REWRITE % 2.52/2.77 (step @p1109 :rule trust :premises () :args ((= (lambda @t23 (tptp.c_Eps_i (lambda @t657 (or (and @t428 (= @t656 @t1389)) (and @t429 (= @t656 @t832)))))) @t1382))) % 2.52/2.77 (step @p1110 :rule eq-symm :args (@t832 @t656)) % 2.52/2.77 (step @p1111 :rule cong :premises (@p340 @p968) :args (@t1390)) % 2.52/2.77 (step @p1112 :rule trans :premises (@p1111 @p1110)) % 2.52/2.77 (step @p1113 :rule nary_cong :premises (@p342 @p1112) :args (@t1391)) % 2.52/2.77 (step @p1114 :rule eq-symm :args (@t1389 @t656)) % 2.52/2.77 (step @p1115 :rule cong :premises (@p711 @p345) :args (@t1392)) % 2.52/2.77 (step @p1116 :rule cong :premises (@p1115 @p968) :args (@t1393)) % 2.52/2.77 (step @p1117 :rule trans :premises (@p1116 @p1114)) % 2.52/2.77 (step @p1118 :rule nary_cong :premises (@p305 @p1117) :args (@t1394)) % 2.52/2.77 (step @p1119 :rule nary_cong :premises (@p1118 @p1113) :args (@t1395)) % 2.52/2.77 (step @p1120 :rule cong :premises (@p1119) :args (@t1396)) % 2.52/2.77 (step @p1121 :rule cong :premises (@p1120) :args (@t1397)) % 2.52/2.77 (step @p1122 :rule cong :premises (@p1121) :args (@t1398)) % 2.52/2.77 (step @p1123 :rule trans :premises (@p1122 @p1109)) % 2.52/2.77 (step @p1124 :rule cong :premises (@p249 @p1123) :args (@t1399)) % 2.52/2.77 (step @p1125 :rule cong :premises (@p1124) :args (@t1400)) % 2.52/2.77 (step @p1126 :rule cong :premises (@p1125) :args (@t1401)) % 2.52/2.77 (step @p1127 :rule cong :premises (@p983 @p1126) :args (@t1402)) % 2.52/2.77 (step @p1128 :rule cong :premises (@p1127) :args (@t1403)) % 2.52/2.77 (step @p1129 :rule nary_cong :premises (@p986 @p1128) :args (@t1404)) % 2.52/2.77 (step @p1130 :rule cong :premises (@p1129) :args (@t1405)) % 2.52/2.77 (step @p1131 :rule trans :premises (@p1130 @p1108)) % 2.52/2.77 (step @p1132 :rule bool-double-not-elim :args (@t1405)) % 2.52/2.77 (step @p1133 :rule bool-impl-false1 :args (@t1406)) % 2.52/2.77 (step @p1134 :rule trans :premises (@p1133 @p1132)) % 2.52/2.77 (step @p1135 :rule trans :premises (@p1134 @p1131)) % 2.52/2.77 (step @p1136 :rule nary_cong :premises (@p1135 @p946) :args (@t1407)) % 2.52/2.77 ; trust TRUST_THEORY_REWRITE % 2.52/2.77 (step @p1137 :rule trust :premises () :args ((= (lambda @t58 (and @t699 (tptp.c_In @t57 @t1366))) @t1363))) % 2.52/2.77 ; trust TRUST_THEORY_REWRITE % 2.52/2.77 (step @p1138 :rule trust :premises () :args ((= (lambda @t23 (tptp.c_Eps_i (lambda @t698 (or (and @t428 (= @t697 @t1389)) (and @t429 (= @t697 @t832)))))) @t1365))) % 2.52/2.77 (step @p1139 :rule eq-symm :args (@t832 @t697)) % 2.52/2.77 (step @p1140 :rule cong :premises (@p340 @p1013) :args (@t1408)) % 2.52/2.77 (step @p1141 :rule trans :premises (@p1140 @p1139)) % 2.52/2.77 (step @p1142 :rule nary_cong :premises (@p342 @p1141) :args (@t1409)) % 2.52/2.77 (step @p1143 :rule eq-symm :args (@t1389 @t697)) % 2.52/2.77 (step @p1144 :rule cong :premises (@p1115 @p1013) :args (@t1410)) % 2.52/2.77 (step @p1145 :rule trans :premises (@p1144 @p1143)) % 2.52/2.77 (step @p1146 :rule nary_cong :premises (@p305 @p1145) :args (@t1411)) % 2.52/2.77 (step @p1147 :rule nary_cong :premises (@p1146 @p1142) :args (@t1412)) % 2.52/2.77 (step @p1148 :rule cong :premises (@p1147) :args (@t1413)) % 2.52/2.77 (step @p1149 :rule cong :premises (@p1148) :args (@t1414)) % 2.52/2.77 (step @p1150 :rule cong :premises (@p1149) :args (@t1415)) % 2.52/2.77 (step @p1151 :rule trans :premises (@p1150 @p1138)) % 2.52/2.77 (step @p1152 :rule cong :premises (@p249 @p1151) :args (@t1416)) % 2.52/2.77 (step @p1153 :rule cong :premises (@p1152) :args (@t1417)) % 2.52/2.77 (step @p1154 :rule cong :premises (@p1153) :args (@t1418)) % 2.52/2.77 (step @p1155 :rule cong :premises (@p252 @p1154) :args (@t1419)) % 2.52/2.77 (step @p1156 :rule nary_cong :premises (@p1029 @p1155) :args (@t1420)) % 2.52/2.77 (step @p1157 :rule cong :premises (@p1156) :args (@t1421)) % 2.52/2.77 (step @p1158 :rule trans :premises (@p1157 @p1137)) % 2.52/2.77 (step @p1159 :rule cong :premises (@p1158) :args (@t1422)) % 2.52/2.77 (step @p1160 :rule cong :premises (@p1033 @p1159) :args (@t1423)) % 2.52/2.77 (step @p1161 :rule cong :premises (@p1055 @p1154) :args (@t1424)) % 2.52/2.77 (step @p1162 :rule cong :premises (@p1161) :args ((not @t1424))) % 2.52/2.77 (step @p1163 :rule bool-impl-false1 :args (@t1424)) % 2.52/2.77 (step @p1164 :rule trans :premises (@p1163 @p1162)) % 2.52/2.77 (step @p1165 :rule nary_cong :premises (@p1164 @p1160) :args (@t1425)) % 2.52/2.77 (step @p1166 :rule nary_cong :premises (@p1161 @p1059) :args (@t1426)) % 2.52/2.77 (step @p1167 :rule nary_cong :premises (@p1166 @p1165) :args (@t1427)) % 2.52/2.77 (step @p1168 :rule cong :premises (@p1167) :args (@t1428)) % 2.52/2.77 (step @p1169 :rule cong :premises (@p1168) :args (@t1429)) % 2.52/2.77 (step @p1170 :rule cong :premises (@p1169) :args (@t1430)) % 2.52/2.77 (step @p1171 :rule cong :premises (@p1065 @p1170) :args (@t1431)) % 2.52/2.77 (step @p1172 :rule cong :premises (@p266 @p1171) :args (@t1432)) % 2.52/2.77 (step @p1173 :rule cong :premises (@p1131) :args (@t1406)) % 2.52/2.77 (step @p1174 :rule nary_cong :premises (@p1173 @p1172) :args (@t1433)) % 2.52/2.77 (step @p1175 :rule nary_cong :premises (@p1174 @p1136) :args (@t1434)) % 2.52/2.77 (step @p1176 :rule cong :premises (@p1175) :args (@t1435)) % 2.52/2.77 (step @p1177 :rule trans :premises (@p1176 @p1073)) % 2.52/2.77 (step @p1178 :rule cong :premises (@p1177) :args (@t1436)) % 2.52/2.77 (step @p1179 :rule cong :premises (@p1178) :args (@t1437)) % 2.52/2.77 (step @p1180 :rule cong :premises (@p1179) :args (@t1438)) % 2.52/2.77 (step @p1181 :rule nary_cong :premises (@p1180 @p945 @p944) :args (@t1439)) % 2.52/2.77 (step @p1182 :rule nary_cong :premises (@p1181 @p868) :args (@t1440)) % 2.52/2.77 (step @p1183 :rule cong :premises (@p1182) :args (@t1441)) % 2.52/2.77 (step @p1184 :rule trans :premises (@p1183 @p539)) % 2.52/2.77 (step @p1185 :rule nary_cong :premises (@p1184 @p395) :args (@t1442)) % 2.52/2.77 (step @p1186 :rule cong :premises (@p1185) :args ((not @t1442))) % 2.52/2.77 (step @p1187 :rule bool-impl-false1 :args (@t1442)) % 2.52/2.77 (step @p1188 :rule trans :premises (@p1187 @p1186)) % 2.52/2.77 (step @p1189 :rule cong :premises (@p1188) :args ((not (=> @t1442 false)))) % 2.52/2.77 (step @p1190 :rule trans :premises (@p1189 @p111)) % 2.52/2.77 (step @p1191 :rule bool-eq-false :args (tptp.c_False)) % 2.52/2.77 (step @p1192 :rule symm :premises (@p1191)) % 2.52/2.77 (step @p1193 :rule aci_norm :args ((= (and true @t1443) @t1443))) % 2.52/2.77 (step @p1194 :rule refl :args (@t1443)) % 2.52/2.77 (step @p1195 :rule absorb :args ((= (or true tptp.c_False) true))) % 2.52/2.77 (step @p1196 :rule refl :args (tptp.c_False)) % 2.52/2.77 (step @p1197 :rule nary_cong :premises (@p692 @p1196) :args (@t1444)) % 2.52/2.77 (step @p1198 :rule trans :premises (@p1197 @p1195)) % 2.52/2.77 (step @p1199 :rule nary_cong :premises (@p1198 @p1194) :args (@t1445)) % 2.52/2.77 (step @p1200 :rule trans :premises (@p1199 @p1193)) % 2.52/2.77 (step @p1201 :rule aci_norm :args ((= @t1446 @t1445))) % 2.52/2.77 (step @p1202 :rule trans :premises (@p1201 @p1200)) % 2.52/2.77 (step @p1203 :rule quant-var-elim-eq :args ((= (forall @t7 (or (not (= @t4 false)) @t1448 @t4)) @t1446))) % 2.52/2.77 (step @p1204 :rule refl :args (@t4)) % 2.52/2.77 (step @p1205 :rule refl :args (@t1448)) % 2.52/2.77 (step @p1206 :rule bool-eq-false :args (@t4)) % 2.52/2.77 (step @p1207 :rule symm :premises (@p1206)) % 2.52/2.77 (step @p1208 :rule cong :premises (@p1207) :args ((not @t1447))) % 2.52/2.77 (step @p1209 :rule bool-double-not-elim :args (@t4)) % 2.52/2.77 (step @p1210 :rule symm :premises (@p1209)) % 2.52/2.77 (step @p1211 :rule trans :premises (@p1210 @p1208)) % 2.52/2.77 (step @p1212 :rule nary_cong :premises (@p1211 @p1205 @p1204) :args (@t1449)) % 2.52/2.77 (step @p1213 :rule aci_norm :args ((= @t1450 @t1449))) % 2.52/2.77 (step @p1214 :rule trans :premises (@p1213 @p1212)) % 2.52/2.77 (step @p1215 :rule cong :premises (@p1214) :args ((forall @t7 @t1450))) % 2.52/2.77 (step @p1216 :rule trans :premises (@p1215 @p1203)) % 2.52/2.77 (step @p1217 :rule trans :premises (@p1216 @p1202)) % 2.52/2.77 (step @p1218 :rule refl :args (@t1443)) % 2.52/2.77 (step @p1219 :rule bool-impl-elim :args (@t4 tptp.c_False)) % 2.52/2.77 (step @p1220 :rule nary_cong :premises (@p1219 @p1218) :args ((and @t78 @t1443))) % 2.52/2.77 (step @p1221 :rule bool-implies-de-morgan :args (@t78 tptp.c_False)) % 2.52/2.77 (step @p1222 :rule trans :premises (@p1221 @p1220)) % 2.52/2.77 (step @p1223 :rule nary_cong :premises (@p1222 @p1204) :args ((or (not @t1451) @t4))) % 2.52/2.77 (step @p1224 :rule bool-impl-elim :args (@t1451 @t4)) % 2.52/2.77 (step @p1225 :rule trans :premises (@p1224 @p1223)) % 2.52/2.77 (step @p1226 :rule cong :premises (@p1225) :args ((forall @t7 (=> @t1451 @t4)))) % 2.52/2.77 (step @p1227 :rule trans :premises (@p1226 @p1217)) % 2.52/2.77 (step @p1228 :rule refl :args (@t4)) % 2.52/2.77 (step @p1229 :rule beta-reduce :args ((= (_ @t79 @t78) @t1451))) % 2.52/2.77 (step @p1230 :rule beta-reduce :args ((= @t1452 @t78))) % 2.52/2.77 (step @p1231 :rule refl :args (@t79)) % 2.52/2.77 (step @p1232 :rule ho_cong :premises (@p1231 @p1230)) % 2.52/2.77 (step @p1233 :rule trans :premises (@p1232 @p1229)) % 2.52/2.77 (step @p1234 :rule cong :premises (@p1233 @p1228) :args (@t1453)) % 2.52/2.77 (step @p1235 :rule cong :premises (@p1234) :args ((forall @t7 @t1453))) % 2.52/2.77 (step @p1236 :rule trans :premises (@p1235 @p1227)) % 2.52/2.77 (step @p1237 :rule ho_cong :premises (@p18 @p1228)) % 2.52/2.77 (step @p1238 :rule ho_cong :premises (@p18 @p1237)) % 2.52/2.77 (step @p1239 :rule cong :premises (@p1238 @p1228) :args (@t6)) % 2.52/2.77 (step @p1240 :rule cong :premises (@p1239) :args (@t8)) % 2.52/2.77 (step @p1241 :rule trans :premises (@p1240 @p1236)) % 2.52/2.77 (step @p1242 :rule eq_resolve :premises (@p2 @p1241)) % 2.52/2.77 (step @p1243 :rule eq_resolve :premises (@p1242 @p1192)) % 2.52/2.77 (step @p1244 :rule cong :premises (@p243 @p1243) :args (@t1454)) % 2.52/2.77 (step @p1245 :rule nary_cong :premises (@p1244 @p311) :args (@t1455)) % 2.52/2.77 (step @p1246 :rule refl :args (@t387)) % 2.52/2.77 (step @p1247 :rule cong :premises (@p1246 @p1243) :args (@t1456)) % 2.52/2.77 (step @p1248 :rule nary_cong :premises (@p1247 @p314) :args (@t1457)) % 2.52/2.77 (step @p1249 :rule nary_cong :premises (@p317 @p1248) :args (@t1458)) % 2.52/2.77 (step @p1250 :rule cong :premises (@p1249) :args (@t1459)) % 2.52/2.77 (step @p1251 :rule cong :premises (@p1250) :args (@t1460)) % 2.52/2.77 (step @p1252 :rule cong :premises (@p1251) :args (@t1461)) % 2.52/2.77 (step @p1253 :rule cong :premises (@p249 @p1252) :args (@t1462)) % 2.52/2.77 (step @p1254 :rule cong :premises (@p266 @p1253) :args (@t1463)) % 2.52/2.77 (step @p1255 :rule nary_cong :premises (@p243 @p1254) :args (@t1464)) % 2.52/2.77 (step @p1256 :rule nary_cong :premises (@p1255 @p1245) :args (@t1465)) % 2.52/2.77 (step @p1257 :rule cong :premises (@p1256) :args (@t1466)) % 2.52/2.77 (step @p1258 :rule cong :premises (@p1257) :args (@t1467)) % 2.52/2.77 (step @p1259 :rule cong :premises (@p1258) :args (@t1468)) % 2.52/2.77 (step @p1260 :rule cong :premises (@p249 @p1259) :args (@t1469)) % 2.52/2.77 (step @p1261 :rule cong :premises (@p1260) :args (@t1470)) % 2.52/2.77 (step @p1262 :rule cong :premises (@p252 @p1261) :args (@t1471)) % 2.52/2.77 (step @p1263 :rule nary_cong :premises (@p254 @p1262) :args (@t1472)) % 2.52/2.77 (step @p1264 :rule cong :premises (@p1263) :args (@t1473)) % 2.52/2.77 (step @p1265 :rule cong :premises (@p1264) :args (@t1474)) % 2.52/2.77 (step @p1266 :rule nary_cong :premises (@p1265 @p238) :args (@t1475)) % 2.52/2.77 (step @p1267 :rule cong :premises (@p1266) :args (@t1476)) % 2.52/2.77 (step @p1268 :rule cong :premises (@p1267) :args (@t1477)) % 2.52/2.77 (step @p1269 :rule ho_cong :premises (@p261 @p1268)) % 2.52/2.77 (step @p1270 :rule cong :premises (@p1269) :args ((lambda @t33 (_ tptp.c_Eps_i @t1477)))) % 2.52/2.77 ; trust TRUST_THEORY_REWRITE % 2.52/2.77 (step @p1271 :rule trust :premises () :args ((= (lambda @t23 (forall @t211 (or (not (forall @t208 (or @t417 (_ @t191 @t57 (tptp.c_Union (tptp.c_Repl @t398 (lambda @t23 (tptp.c_Eps_i (lambda @t30 (or @t1479 (and @t1478 @t457))))))))))) @t776))) @t1477))) % 2.52/2.77 (step @p1272 :rule lambda-elim :args ((= @t1483 @t194))) % 2.52/2.77 (step @p1273 :rule cong :premises (@p252 @p1272) :args (@t1484)) % 2.52/2.77 (step @p1274 :rule cong :premises (@p266 @p1273) :args (@t1485)) % 2.52/2.77 (step @p1275 :rule refl :args (@t1478)) % 2.52/2.77 (step @p1276 :rule nary_cong :premises (@p1275 @p1274) :args (@t1486)) % 2.52/2.77 (step @p1277 :rule refl :args (@t1479)) % 2.52/2.77 (step @p1278 :rule nary_cong :premises (@p1277 @p1276) :args (@t1487)) % 2.52/2.77 (step @p1279 :rule cong :premises (@p1278) :args (@t1488)) % 2.52/2.77 (step @p1280 :rule cong :premises (@p1279) :args (@t1489)) % 2.52/2.77 (step @p1281 :rule cong :premises (@p1280) :args (@t1490)) % 2.52/2.77 (step @p1282 :rule cong :premises (@p249 @p1281) :args (@t1491)) % 2.52/2.77 (step @p1283 :rule cong :premises (@p1282) :args (@t1492)) % 2.52/2.77 (step @p1284 :rule cong :premises (@p252 @p1283) :args (@t1493)) % 2.52/2.77 (step @p1285 :rule nary_cong :premises (@p254 @p1284) :args (@t1494)) % 2.52/2.77 (step @p1286 :rule cong :premises (@p1285) :args ((forall @t208 @t1494))) % 2.52/2.77 (step @p1287 :rule refl :args ((tptp.c_Union @t1514))) % 2.52/2.77 (step @p1288 :rule refl :args ((tptp.c_Repl @t55 @t1513))) % 2.52/2.77 (step @p1289 :rule refl :args ((tptp.c_Eps_i @t1511))) % 2.52/2.77 (step @p1290 :rule refl :args ((tptp.c_Repl @t57 @t1496))) % 2.52/2.77 (step @p1291 :rule refl :args (@t1481)) % 2.52/2.77 (step @p1292 :rule cong :premises (@p1291) :args (@t1483)) % 2.52/2.77 (step @p1293 :rule cong :premises (@p153 @p1292) :args (@t1484)) % 2.52/2.77 (step @p1294 :rule trans :premises (@p1293 @p1290)) % 2.52/2.77 (step @p1295 :rule cong :premises (@p183 @p1294) :args (@t1485)) % 2.52/2.77 (step @p1296 :rule refl :args (tptp.c_False)) % 2.52/2.77 (step @p1297 :rule refl :args (@t428)) % 2.52/2.77 (step @p1298 :rule cong :premises (@p1297 @p1296) :args (@t1478)) % 2.52/2.77 (step @p1299 :rule nary_cong :premises (@p1298 @p1295) :args (@t1486)) % 2.52/2.77 (step @p1300 :rule refl :args ((tptp.c_Repl @t55 @t1506))) % 2.52/2.77 (step @p1301 :rule refl :args ((tptp.c_Eps_i @t1504))) % 2.52/2.77 (step @p1302 :rule cong :premises (@p127 @p1296) :args (@t1456)) % 2.52/2.77 (step @p1303 :rule nary_cong :premises (@p1302 @p126) :args (@t1457)) % 2.52/2.78 (step @p1304 :rule nary_cong :premises (@p130 @p1303) :args (@t1458)) % 2.52/2.78 (step @p1305 :rule cong :premises (@p1304) :args (@t1459)) % 2.52/2.78 (step @p1306 :rule cong :premises (@p1305) :args (@t1460)) % 2.52/2.78 (step @p1307 :rule trans :premises (@p1306 @p1301)) % 2.52/2.78 (step @p1308 :rule cong :premises (@p1307) :args (@t1461)) % 2.52/2.78 (step @p1309 :rule cong :premises (@p139 @p1308) :args (@t1462)) % 2.52/2.78 (step @p1310 :rule trans :premises (@p1309 @p1300)) % 2.52/2.78 (step @p1311 :rule cong :premises (@p183 @p1310) :args (@t1463)) % 2.52/2.78 (step @p1312 :rule nary_cong :premises (@p1297 @p1311) :args (@t1479)) % 2.52/2.78 (step @p1313 :rule nary_cong :premises (@p1312 @p1299) :args (@t1487)) % 2.52/2.78 (step @p1314 :rule cong :premises (@p1313) :args (@t1488)) % 2.52/2.78 (step @p1315 :rule cong :premises (@p1314) :args (@t1489)) % 2.52/2.78 (step @p1316 :rule trans :premises (@p1315 @p1289)) % 2.52/2.78 (step @p1317 :rule cong :premises (@p1316) :args (@t1490)) % 2.52/2.78 (step @p1318 :rule cong :premises (@p139 @p1317) :args (@t1491)) % 2.52/2.78 (step @p1319 :rule trans :premises (@p1318 @p1288)) % 2.52/2.78 (step @p1320 :rule cong :premises (@p1319) :args (@t1492)) % 2.52/2.78 (step @p1321 :rule trans :premises (@p1320 @p1287)) % 2.52/2.78 (step @p1322 :rule refl :args (tptp.c_Union)) % 2.52/2.78 (step @p1323 :rule ho_cong :premises (@p1322 @p1319)) % 2.52/2.78 (step @p1324 :rule cong :premises (@p1323 @p1321) :args ((= (_ tptp.c_Union @t1491) @t1492))) % 2.52/2.78 (step @p1325 :rule symm :premises (@p1324)) % 2.52/2.78 (step @p1326 :rule refl :args (@t1515)) % 2.52/2.78 (step @p1327 :rule eq_resolve :premises (@p1326 @p1325)) % 2.52/2.78 (step @p1328 :rule refl :args (tptp.c_Repl)) % 2.52/2.78 (step @p1329 :rule ho_cong :premises (@p1328 @p139)) % 2.52/2.78 (step @p1330 :rule ho_cong :premises (@p1329 @p1317)) % 2.52/2.78 (step @p1331 :rule cong :premises (@p1330 @p1319) :args ((= (_ @t1516 @t1490) @t1491))) % 2.52/2.78 (step @p1332 :rule symm :premises (@p1331)) % 2.52/2.78 (step @p1333 :rule refl :args (@t1514)) % 2.52/2.78 (step @p1334 :rule eq_resolve :premises (@p1333 @p1332)) % 2.52/2.78 (step @p1335 :rule ho_cong :premises (@p174 @p1314)) % 2.52/2.78 (step @p1336 :rule cong :premises (@p1335 @p1316) :args ((= (_ tptp.c_Eps_i @t1488) @t1489))) % 2.52/2.78 (step @p1337 :rule symm :premises (@p1336)) % 2.52/2.78 (step @p1338 :rule refl :args (@t1512)) % 2.52/2.78 (step @p1339 :rule eq_resolve :premises (@p1338 @p1337)) % 2.52/2.78 (step @p1340 :rule refl :args (@t713)) % 2.52/2.78 (step @p1341 :rule ho_cong :premises (@p1340 @p1292)) % 2.52/2.78 (step @p1342 :rule cong :premises (@p1341 @p1294) :args ((= (_ @t713 @t1483) @t1484))) % 2.52/2.78 (step @p1343 :rule symm :premises (@p1342)) % 2.52/2.78 (step @p1344 :rule refl :args (@t1497)) % 2.52/2.78 (step @p1345 :rule eq_resolve :premises (@p1344 @p1343)) % 2.52/2.78 (step @p1346 :rule refl :args (@t1495)) % 2.52/2.78 (step @p1347 :rule cong :premises (@p1346 @p1291) :args ((= @t1495 @t1481))) % 2.52/2.78 (step @p1348 :rule symm :premises (@p1347)) % 2.52/2.78 (step @p1349 :rule eq_resolve :premises (@p1346 @p1348)) % 2.52/2.78 (step @p1350 :rule cong :premises (@p1349) :args (@t1496)) % 2.52/2.78 (step @p1351 :rule ho_cong :premises (@p1340 @p1350)) % 2.52/2.78 (step @p1352 :rule trans :premises (@p1351 @p1345)) % 2.52/2.78 (step @p1353 :rule cong :premises (@p183 @p1352) :args (@t1498)) % 2.52/2.78 (step @p1354 :rule refl :args (@t154)) % 2.52/2.78 (step @p1355 :rule cong :premises (@p1354 @p1297) :args ((= @t154 @t428))) % 2.52/2.78 (step @p1356 :rule symm :premises (@p1355)) % 2.52/2.78 (step @p1357 :rule eq_resolve :premises (@p1354 @p1356)) % 2.52/2.78 (step @p1358 :rule cong :premises (@p1357 @p1296) :args (@t1499)) % 2.52/2.78 (step @p1359 :rule nary_cong :premises (@p1358 @p1353) :args (@t1500)) % 2.52/2.78 (step @p1360 :rule ho_cong :premises (@p1329 @p1308)) % 2.52/2.78 (step @p1361 :rule cong :premises (@p1360 @p1310) :args ((= (_ @t1516 @t1461) @t1462))) % 2.52/2.78 (step @p1362 :rule symm :premises (@p1361)) % 2.52/2.78 (step @p1363 :rule refl :args (@t1507)) % 2.52/2.78 (step @p1364 :rule eq_resolve :premises (@p1363 @p1362)) % 2.52/2.78 (step @p1365 :rule ho_cong :premises (@p174 @p1305)) % 2.52/2.78 (step @p1366 :rule cong :premises (@p1365 @p1307) :args ((= (_ tptp.c_Eps_i @t1459) @t1460))) % 2.52/2.78 (step @p1367 :rule symm :premises (@p1366)) % 2.52/2.78 (step @p1368 :rule refl :args (@t1505)) % 2.52/2.78 (step @p1369 :rule eq_resolve :premises (@p1368 @p1367)) % 2.52/2.78 (step @p1370 :rule refl :args (@t717)) % 2.52/2.78 (step @p1371 :rule cong :premises (@p1370 @p127) :args ((= @t717 @t387))) % 2.52/2.78 (step @p1372 :rule symm :premises (@p1371)) % 2.52/2.78 (step @p1373 :rule eq_resolve :premises (@p1370 @p1372)) % 2.52/2.78 (step @p1374 :rule cong :premises (@p1373 @p1296) :args (@t1501)) % 2.52/2.78 (step @p1375 :rule nary_cong :premises (@p1374 @p126) :args (@t1502)) % 2.52/2.78 (step @p1376 :rule nary_cong :premises (@p1373 @p126) :args (@t718)) % 2.52/2.78 (step @p1377 :rule nary_cong :premises (@p1376 @p1375) :args (@t1503)) % 2.52/2.78 (step @p1378 :rule cong :premises (@p1377) :args (@t1504)) % 2.52/2.78 (step @p1379 :rule ho_cong :premises (@p174 @p1378)) % 2.52/2.78 (step @p1380 :rule trans :premises (@p1379 @p1369)) % 2.52/2.78 (step @p1381 :rule cong :premises (@p1380) :args (@t1506)) % 2.52/2.78 (step @p1382 :rule refl :args (tptp.c_Power)) % 2.52/2.78 (step @p1383 :rule ho_cong :premises (@p1382 @p137)) % 2.52/2.78 (step @p1384 :rule cong :premises (@p1383 @p139) :args ((= (_ tptp.c_Power @t397) @t398))) % 2.52/2.78 (step @p1385 :rule symm :premises (@p1384)) % 2.52/2.78 (step @p1386 :rule refl :args (@t55)) % 2.52/2.78 (step @p1387 :rule eq_resolve :premises (@p1386 @p1385)) % 2.52/2.78 (step @p1388 :rule refl :args (@t54)) % 2.52/2.78 (step @p1389 :rule cong :premises (@p1388 @p137) :args ((= @t54 @t397))) % 2.52/2.78 (step @p1390 :rule symm :premises (@p1389)) % 2.52/2.78 (step @p1391 :rule eq_resolve :premises (@p1388 @p1390)) % 2.52/2.78 (step @p1392 :rule ho_cong :premises (@p1382 @p1391)) % 2.52/2.78 (step @p1393 :rule trans :premises (@p1392 @p1387)) % 2.52/2.78 (step @p1394 :rule ho_cong :premises (@p1328 @p1393)) % 2.52/2.78 (step @p1395 :rule ho_cong :premises (@p1394 @p1381)) % 2.52/2.78 (step @p1396 :rule trans :premises (@p1395 @p1364)) % 2.52/2.78 (step @p1397 :rule cong :premises (@p183 @p1396) :args (@t1508)) % 2.52/2.78 (step @p1398 :rule nary_cong :premises (@p1357 @p1397) :args (@t1509)) % 2.52/2.78 (step @p1399 :rule nary_cong :premises (@p1398 @p1359) :args (@t1510)) % 2.52/2.78 (step @p1400 :rule cong :premises (@p1399) :args (@t1511)) % 2.52/2.78 (step @p1401 :rule ho_cong :premises (@p174 @p1400)) % 2.52/2.78 (step @p1402 :rule trans :premises (@p1401 @p1339)) % 2.52/2.78 (step @p1403 :rule cong :premises (@p1402) :args (@t1513)) % 2.52/2.78 (step @p1404 :rule ho_cong :premises (@p1394 @p1403)) % 2.52/2.78 (step @p1405 :rule trans :premises (@p1404 @p1334)) % 2.52/2.78 (step @p1406 :rule ho_cong :premises (@p1322 @p1405)) % 2.52/2.78 (step @p1407 :rule trans :premises (@p1406 @p1327)) % 2.52/2.78 (step @p1408 :rule cong :premises (@p153 @p1407) :args (@t1517)) % 2.52/2.78 (step @p1409 :rule refl :args (@t417)) % 2.52/2.78 (step @p1410 :rule nary_cong :premises (@p1409 @p1408) :args (@t1518)) % 2.52/2.78 (step @p1411 :rule cong :premises (@p1410) :args ((forall @t208 @t1518))) % 2.52/2.78 (step @p1412 :rule trans :premises (@p1411 @p1286)) % 2.52/2.78 (step @p1413 :rule beta-reduce :args ((= @t1521 @t1515))) % 2.52/2.78 (step @p1414 :rule cong :premises (@p252 @p1413) :args (@t1522)) % 2.52/2.78 (step @p1415 :rule nary_cong :premises (@p254 @p1414) :args (@t1523)) % 2.52/2.78 (step @p1416 :rule cong :premises (@p1415) :args (@t1524)) % 2.52/2.78 (step @p1417 :rule trans :premises (@p1416 @p1412)) % 2.52/2.78 (step @p1418 :rule cong :premises (@p1417) :args (@t1525)) % 2.52/2.78 (step @p1419 :rule nary_cong :premises (@p1418 @p238) :args (@t1526)) % 2.52/2.78 (step @p1420 :rule cong :premises (@p1419) :args (@t1527)) % 2.52/2.78 (step @p1421 :rule cong :premises (@p1420) :args (@t1528)) % 2.52/2.78 (step @p1422 :rule trans :premises (@p1421 @p1271)) % 2.52/2.78 (step @p1423 :rule ho_cong :premises (@p261 @p1422)) % 2.52/2.78 (step @p1424 :rule cong :premises (@p1423) :args (@t1529)) % 2.52/2.78 (step @p1425 :rule beta-reduce :args ((= (_ @t1536 @t1520) @t1529))) % 2.52/2.78 (step @p1426 :rule trans :premises (@p1425 @p1424)) % 2.52/2.78 ; trust TRUST_THEORY_REWRITE % 2.52/2.78 (step @p1427 :rule trust :premises () :args ((= (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t1509 (and @t1499 (= @t24 @t50)))))) @t1519))) % 2.52/2.78 (step @p1428 :rule eq-symm :args (@t50 @t24)) % 2.52/2.78 (step @p1429 :rule refl :args (@t1499)) % 2.52/2.78 (step @p1430 :rule nary_cong :premises (@p1429 @p1428) :args (@t1537)) % 2.52/2.78 (step @p1431 :rule refl :args (@t1509)) % 2.52/2.78 (step @p1432 :rule nary_cong :premises (@p1431 @p1430) :args (@t1538)) % 2.52/2.78 (step @p1433 :rule cong :premises (@p1432) :args (@t1539)) % 2.52/2.78 (step @p1434 :rule ho_cong :premises (@p261 @p1433)) % 2.52/2.78 (step @p1435 :rule cong :premises (@p1434) :args (@t1540)) % 2.52/2.78 (step @p1436 :rule trans :premises (@p1435 @p1427)) % 2.52/2.78 (step @p1437 :rule refl :args (@t156)) % 2.52/2.78 (step @p1438 :rule ho_cong :premises (@p1437 @p1436)) % 2.52/2.78 (step @p1439 :rule refl :args (tptp.c_Union)) % 2.52/2.78 (step @p1440 :rule ho_cong :premises (@p1439 @p1438)) % 2.52/2.78 (step @p1441 :rule beta-reduce :args ((= (_ (lambda @t33 (_ tptp.c_Union (_ @t156 @t1542))) @t50) (_ tptp.c_Union (_ @t156 @t1540))))) % 2.52/2.78 (step @p1442 :rule trans :premises (@p1441 @p1440)) % 2.52/2.78 (step @p1443 :rule refl :args (@t50)) % 2.52/2.78 ; trust TRUST_THEORY_REWRITE % 2.52/2.78 (step @p1444 :rule trust :premises () :args ((= (lambda @t23 (_ tptp.c_Eps_i @t1543)) @t1542))) % 2.52/2.78 ; trust TRUST_THEORY_REWRITE % 2.52/2.78 (step @p1445 :rule trust :premises () :args ((= (lambda @t30 (or (and @t154 (= @t24 @t1545)) @t1541)) @t1543))) % 2.52/2.78 (step @p1446 :rule refl :args (@t1541)) % 2.52/2.78 (step @p1447 :rule eq-symm :args (@t1545 @t24)) % 2.52/2.78 (step @p1448 :rule refl :args (@t154)) % 2.52/2.78 (step @p1449 :rule nary_cong :premises (@p1448 @p1447) :args (@t1546)) % 2.52/2.78 (step @p1450 :rule nary_cong :premises (@p1449 @p1446) :args (@t1547)) % 2.52/2.78 (step @p1451 :rule cong :premises (@p1450) :args (@t1548)) % 2.52/2.78 (step @p1452 :rule trans :premises (@p1451 @p1445)) % 2.52/2.78 (step @p1453 :rule ho_cong :premises (@p261 @p1452)) % 2.52/2.78 (step @p1454 :rule cong :premises (@p1453) :args (@t1549)) % 2.52/2.78 (step @p1455 :rule trans :premises (@p1454 @p1444)) % 2.52/2.78 (step @p1456 :rule ho_cong :premises (@p1437 @p1455)) % 2.52/2.78 (step @p1457 :rule ho_cong :premises (@p1439 @p1456)) % 2.52/2.78 (step @p1458 :rule cong :premises (@p1457) :args (@t1550)) % 2.52/2.78 (step @p1459 :rule beta-reduce :args ((= (_ @t1555 @t1545) @t1550))) % 2.52/2.78 (step @p1460 :rule trans :premises (@p1459 @p1458)) % 2.52/2.78 (step @p1461 :rule beta-reduce :args ((= @t1558 @t1545))) % 2.52/2.78 (step @p1462 :rule refl :args (@t1555)) % 2.52/2.78 (step @p1463 :rule ho_cong :premises (@p1462 @p1461)) % 2.52/2.78 (step @p1464 :rule trans :premises (@p1463 @p1460)) % 2.52/2.78 (step @p1465 :rule ho_cong :premises (@p1464 @p1443)) % 2.52/2.78 (step @p1466 :rule trans :premises (@p1465 @p1442)) % 2.52/2.78 (step @p1467 :rule cong :premises (@p1466) :args (@t1559)) % 2.52/2.78 (step @p1468 :rule refl :args (@t1536)) % 2.52/2.78 (step @p1469 :rule ho_cong :premises (@p1468 @p1467)) % 2.52/2.78 (step @p1470 :rule trans :premises (@p1469 @p1426)) % 2.52/2.78 (step @p1471 :rule refl :args (tptp.c_Inj1)) % 2.52/2.78 (step @p1472 :rule cong :premises (@p1471 @p1470) :args ((= tptp.c_Inj1 (_ @t1536 @t1559)))) % 2.52/2.78 (step @p1473 :rule refl :args (tptp.c_Empty)) % 2.52/2.78 (step @p1474 :rule beta-reduce :args ((= (_ @t1560 @t11) @t1556))) % 2.52/2.78 (step @p1475 :rule refl :args (@t11)) % 2.52/2.78 (step @p1476 :rule beta-reduce :args ((= (_ (lambda @t16 @t1553) @t11) @t1560))) % 2.52/2.78 (step @p1477 :rule ho_cong :premises (@p1476 @p1475)) % 2.52/2.78 (step @p1478 :rule trans :premises (@p1477 @p1474)) % 2.52/2.78 (step @p1479 :rule eq-symm :args (@t24 @t2)) % 2.52/2.78 (step @p1480 :rule nary_cong :premises (@p1429 @p1479) :args (@t1561)) % 2.52/2.78 (step @p1481 :rule refl :args (@t1552)) % 2.52/2.78 (step @p1482 :rule nary_cong :premises (@p1481 @p1480) :args (@t1562)) % 2.52/2.78 (step @p1483 :rule cong :premises (@p1482) :args (@t1563)) % 2.52/2.78 (step @p1484 :rule ho_cong :premises (@p261 @p1483)) % 2.52/2.78 (step @p1485 :rule beta-reduce :args ((= (_ @t1567 @t2) (_ tptp.c_Eps_i @t1563)))) % 2.52/2.78 (step @p1486 :rule trans :premises (@p1485 @p1484)) % 2.52/2.78 (step @p1487 :rule beta-reduce :args ((= (_ @t1569 @t11) @t1567))) % 2.52/2.78 (step @p1488 :rule beta-reduce :args ((= (_ (lambda @t1571 (_ tptp.c_Eps_i (lambda @t30 (or @t1570 (and @t78 @t1565))))) @t154) @t1569))) % 2.52/2.78 (step @p1489 :rule eq-symm :args (@t1564 @t24)) % 2.52/2.78 (step @p1490 :rule refl :args (@t78)) % 2.52/2.78 (step @p1491 :rule nary_cong :premises (@p1490 @p1489) :args (@t1572)) % 2.52/2.78 (step @p1492 :rule refl :args (@t1570)) % 2.52/2.78 (step @p1493 :rule nary_cong :premises (@p1492 @p1491) :args (@t1573)) % 2.52/2.78 (step @p1494 :rule cong :premises (@p1493) :args (@t1574)) % 2.52/2.78 (step @p1495 :rule ho_cong :premises (@p261 @p1494)) % 2.52/2.78 (step @p1496 :rule cong :premises (@p1495) :args ((lambda @t1571 (_ tptp.c_Eps_i @t1574)))) % 2.52/2.78 (step @p1497 :rule ho_cong :premises (@p1496 @p1448)) % 2.52/2.78 (step @p1498 :rule trans :premises (@p1497 @p1488)) % 2.52/2.78 (step @p1499 :rule alpha_equiv :args (@t1579 @t1041 (@list @t1564))) % 2.52/2.78 (step @p1500 :rule ho_cong :premises (@p1499 @p1354)) % 2.52/2.78 (step @p1501 :rule trans :premises (@p1500 @p1498)) % 2.52/2.78 (step @p1502 :rule ho_cong :premises (@p1501 @p1475)) % 2.52/2.78 (step @p1503 :rule trans :premises (@p1502 @p1487)) % 2.52/2.78 (step @p1504 :rule ho_cong :premises (@p1503 @p840)) % 2.52/2.78 (step @p1505 :rule trans :premises (@p1504 @p1486)) % 2.52/2.78 (step @p1506 :rule cong :premises (@p1505) :args ((lambda @t23 (_ (_ (_ @t1579 @t154) @t11) @t2)))) % 2.52/2.78 (step @p1507 :rule ho_cong :premises (@p1437 @p1506)) % 2.52/2.78 (step @p1508 :rule beta-reduce :args ((= (_ (lambda @t1581 (or @t1570 @t1580)) @t1576) @t1577))) % 2.52/2.78 (step @p1509 :rule beta-reduce :args ((= (_ @t1584 @t1575) @t1576))) % 2.52/2.78 (step @p1510 :rule eq-symm :args (@t24 @t19)) % 2.52/2.78 (step @p1511 :rule bool-double-not-elim :args (@t1582)) % 2.52/2.78 (step @p1512 :rule bool-eq-false :args (@t1582)) % 2.52/2.78 (step @p1513 :rule cong :premises (@p1512) :args (@t1586)) % 2.52/2.78 (step @p1514 :rule trans :premises (@p1513 @p1511)) % 2.52/2.78 (step @p1515 :rule aci_norm :args ((= (and @t1586 true) @t1586))) % 2.52/2.78 (step @p1516 :rule ite-then-false :args (@t1585 true)) % 2.52/2.78 (step @p1517 :rule trans :premises (@p1516 @p1515)) % 2.52/2.78 (step @p1518 :rule trans :premises (@p1517 @p1514)) % 2.52/2.78 (step @p1519 :rule bool-eq-true :args (@t78)) % 2.52/2.78 (step @p1520 :rule nary_cong :premises (@p1519 @p1518) :args ((and @t1588 @t1587))) % 2.52/2.78 (step @p1521 :rule ite-else-false :args (@t1588 @t1587)) % 2.52/2.78 (step @p1522 :rule trans :premises (@p1521 @p1520)) % 2.52/2.78 (step @p1523 :rule cong :premises (@p1522) :args (@t1589)) % 2.52/2.78 (step @p1524 :rule beta-reduce :args ((= (_ @t1591 @t78) @t1589))) % 2.52/2.78 (step @p1525 :rule trans :premises (@p1524 @p1523)) % 2.52/2.78 ; trust TRUST_THEORY_REWRITE % 2.52/2.78 (step @p1526 :rule trust :premises () :args ((= @t1593 @t1591))) % 2.52/2.78 (step @p1527 :rule ho_cong :premises (@p1526 @p1230)) % 2.52/2.78 (step @p1528 :rule trans :premises (@p1527 @p1525)) % 2.52/2.78 (step @p1529 :rule ho_cong :premises (@p1528 @p1510)) % 2.52/2.78 (step @p1530 :rule trans :premises (@p1529 @p1509)) % 2.52/2.78 (step @p1531 :rule bool-double-not-elim :args (@t1580)) % 2.52/2.78 (step @p1532 :rule bool-eq-false :args (@t1580)) % 2.52/2.78 (step @p1533 :rule cong :premises (@p1532) :args (@t1595)) % 2.52/2.78 (step @p1534 :rule trans :premises (@p1533 @p1531)) % 2.52/2.78 (step @p1535 :rule aci_norm :args ((= (and @t1595 true) @t1595))) % 2.52/2.78 (step @p1536 :rule ite-then-false :args (@t1594 true)) % 2.52/2.78 (step @p1537 :rule trans :premises (@p1536 @p1535)) % 2.52/2.78 (step @p1538 :rule trans :premises (@p1537 @p1534)) % 2.52/2.78 (step @p1539 :rule bool-double-not-elim :args (@t1570)) % 2.52/2.78 (step @p1540 :rule bool-eq-false :args (@t1570)) % 2.52/2.78 (step @p1541 :rule cong :premises (@p1540) :args (@t1597)) % 2.52/2.78 (step @p1542 :rule trans :premises (@p1541 @p1539)) % 2.52/2.78 (step @p1543 :rule nary_cong :premises (@p1542 @p1538) :args ((or @t1597 @t1598))) % 2.52/2.78 (step @p1544 :rule ite-else-true :args (@t1596 @t1598)) % 2.52/2.78 (step @p1545 :rule trans :premises (@p1544 @p1543)) % 2.52/2.78 (step @p1546 :rule cong :premises (@p1545) :args (@t1599)) % 2.52/2.78 (step @p1547 :rule beta-reduce :args ((= (_ @t1601 @t1570) @t1599))) % 2.52/2.78 (step @p1548 :rule trans :premises (@p1547 @p1546)) % 2.52/2.78 (step @p1549 :rule beta-reduce :args ((= (_ @t1602 @t562) @t1570))) % 2.52/2.78 (step @p1550 :rule bool-eq-true :args (@t4)) % 2.52/2.78 (step @p1551 :rule nary_cong :premises (@p1550 @p1518) :args ((and @t1603 @t1587))) % 2.52/2.78 (step @p1552 :rule ite-else-false :args (@t1603 @t1587)) % 2.52/2.78 (step @p1553 :rule trans :premises (@p1552 @p1551)) % 2.52/2.78 (step @p1554 :rule cong :premises (@p1553) :args (@t1604)) % 2.52/2.78 (step @p1555 :rule beta-reduce :args ((= (_ @t1591 @t4) @t1604))) % 2.52/2.78 (step @p1556 :rule trans :premises (@p1555 @p1554)) % 2.52/2.78 (step @p1557 :rule ho_cong :premises (@p1526 @p1228)) % 2.52/2.78 (step @p1558 :rule trans :premises (@p1557 @p1556)) % 2.52/2.78 (step @p1559 :rule ho_cong :premises (@p1558 @p1479)) % 2.52/2.78 (step @p1560 :rule trans :premises (@p1559 @p1549)) % 2.52/2.78 ; trust TRUST_THEORY_REWRITE % 2.52/2.78 (step @p1561 :rule trust :premises () :args ((= @t1605 @t1601))) % 2.52/2.78 (step @p1562 :rule ho_cong :premises (@p1561 @p1560)) % 2.52/2.78 (step @p1563 :rule trans :premises (@p1562 @p1548)) % 2.52/2.78 (step @p1564 :rule ho_cong :premises (@p1563 @p1530)) % 2.52/2.78 (step @p1565 :rule trans :premises (@p1564 @p1508)) % 2.52/2.78 (step @p1566 :rule cong :premises (@p1565) :args ((lambda @t30 (_ (_ @t1605 (_ (_ @t1593 @t4) @t143)) (_ (_ @t1593 @t1452) @t141))))) % 2.52/2.78 (step @p1567 :rule ho_cong :premises (@p261 @p1566)) % 2.52/2.78 (step @p1568 :rule refl :args (@t141)) % 2.52/2.78 (step @p1569 :rule aci_norm :args ((= (and @t4 @t9 true) @t1592))) % 2.52/2.78 (step @p1570 :rule refl :args (@t9)) % 2.52/2.78 (step @p1571 :rule nary_cong :premises (@p1228 @p1570 @p692) :args (@t1606)) % 2.52/2.78 (step @p1572 :rule trans :premises (@p1571 @p1569)) % 2.52/2.78 (step @p1573 :rule aci_norm :args ((= @t1607 @t1606))) % 2.52/2.78 (step @p1574 :rule trans :premises (@p1573 @p1572)) % 2.52/2.78 (step @p1575 :rule quant-var-elim-eq :args ((= (forall @t83 (or @t1610 @t1609 @t80)) @t1607))) % 2.52/2.78 (step @p1576 :rule refl :args (@t80)) % 2.52/2.78 (step @p1577 :rule refl :args (@t1609)) % 2.52/2.78 (step @p1578 :rule bool-eq-false :args (@t80)) % 2.52/2.78 (step @p1579 :rule symm :premises (@p1578)) % 2.52/2.78 (step @p1580 :rule cong :premises (@p1579) :args ((not @t1608))) % 2.52/2.78 (step @p1581 :rule bool-double-not-elim :args (@t80)) % 2.52/2.78 (step @p1582 :rule symm :premises (@p1581)) % 2.52/2.78 (step @p1583 :rule trans :premises (@p1582 @p1580)) % 2.52/2.78 (step @p1584 :rule nary_cong :premises (@p1583 @p1577 @p1576) :args (@t1611)) % 2.52/2.78 (step @p1585 :rule aci_norm :args ((= @t1612 @t1611))) % 2.52/2.78 (step @p1586 :rule trans :premises (@p1585 @p1584)) % 2.52/2.78 (step @p1587 :rule cong :premises (@p1586) :args ((forall @t83 @t1612))) % 2.52/2.78 (step @p1588 :rule trans :premises (@p1587 @p1575)) % 2.52/2.78 (step @p1589 :rule trans :premises (@p1588 @p1574)) % 2.52/2.78 (step @p1590 :rule aci_norm :args ((= (and @t4 @t1613) @t1609))) % 2.52/2.78 (step @p1591 :rule bool-implies-de-morgan :args (@t9 @t80)) % 2.52/2.78 (step @p1592 :rule nary_cong :premises (@p1204 @p1591) :args ((and @t4 @t1614))) % 2.52/2.78 (step @p1593 :rule trans :premises (@p1592 @p1590)) % 2.52/2.78 (step @p1594 :rule bool-implies-de-morgan :args (@t4 @t81)) % 2.52/2.78 (step @p1595 :rule trans :premises (@p1594 @p1593)) % 2.52/2.78 (step @p1596 :rule nary_cong :premises (@p1595 @p1576) :args ((or (not @t82) @t80))) % 2.52/2.78 (step @p1597 :rule bool-impl-elim :args (@t82 @t80)) % 2.52/2.78 (step @p1598 :rule trans :premises (@p1597 @p1596)) % 2.52/2.78 (step @p1599 :rule cong :premises (@p1598) :args (@t84)) % 2.52/2.78 (step @p1600 :rule trans :premises (@p1599 @p1589)) % 2.52/2.78 (step @p1601 :rule cong :premises (@p1600) :args (@t85)) % 2.52/2.78 (step @p1602 :rule trans :premises (@p19 @p1601)) % 2.52/2.78 (step @p1603 :rule ho_cong :premises (@p1602 @p1237)) % 2.52/2.78 (step @p1604 :rule ho_cong :premises (@p1603 @p1568)) % 2.52/2.78 (step @p1605 :rule refl :args (@t143)) % 2.52/2.78 (step @p1606 :rule ho_cong :premises (@p1602 @p1228)) % 2.52/2.78 (step @p1607 :rule ho_cong :premises (@p1606 @p1605)) % 2.52/2.78 (step @p1608 :rule aci_norm :args ((= (and @t9 true) @t9))) % 2.52/2.78 (step @p1609 :rule nary_cong :premises (@p1570 @p692) :args (@t1615)) % 2.52/2.78 (step @p1610 :rule trans :premises (@p1609 @p1608)) % 2.52/2.78 (step @p1611 :rule aci_norm :args ((= (and @t4 true) @t4))) % 2.52/2.78 (step @p1612 :rule nary_cong :premises (@p1228 @p692) :args (@t1616)) % 2.52/2.78 (step @p1613 :rule trans :premises (@p1612 @p1611)) % 2.52/2.78 (step @p1614 :rule nary_cong :premises (@p1613 @p1610) :args (@t1617)) % 2.52/2.78 (step @p1615 :rule aci_norm :args ((= @t1618 @t1617))) % 2.52/2.78 (step @p1616 :rule trans :premises (@p1615 @p1614)) % 2.52/2.78 (step @p1617 :rule quant-var-elim-eq :args ((= (forall @t83 (or @t1610 @t1619 @t1613 @t80)) @t1618))) % 2.52/2.78 (step @p1618 :rule refl :args (@t1613)) % 2.52/2.78 (step @p1619 :rule refl :args (@t1619)) % 2.52/2.78 (step @p1620 :rule nary_cong :premises (@p1583 @p1619 @p1618 @p1576) :args (@t1620)) % 2.52/2.78 (step @p1621 :rule aci_norm :args ((= @t1621 @t1620))) % 2.52/2.78 (step @p1622 :rule trans :premises (@p1621 @p1620)) % 2.52/2.78 (step @p1623 :rule cong :premises (@p1622) :args ((forall @t83 @t1621))) % 2.52/2.78 (step @p1624 :rule trans :premises (@p1623 @p1617)) % 2.52/2.78 (step @p1625 :rule trans :premises (@p1624 @p1616)) % 2.52/2.78 (step @p1626 :rule aci_norm :args ((= (or @t1619 (or @t1613 @t80)) @t1621))) % 2.52/2.78 (step @p1627 :rule nary_cong :premises (@p1591 @p1576) :args ((or @t1614 @t80))) % 2.52/2.78 (step @p1628 :rule bool-impl-elim :args (@t81 @t80)) % 2.52/2.78 (step @p1629 :rule trans :premises (@p1628 @p1627)) % 2.52/2.78 (step @p1630 :rule bool-implies-de-morgan :args (@t4 @t80)) % 2.52/2.78 (step @p1631 :rule nary_cong :premises (@p1630 @p1629) :args ((or (not @t87) @t86))) % 2.52/2.78 (step @p1632 :rule trans :premises (@p1631 @p1626)) % 2.52/2.78 (step @p1633 :rule bool-impl-elim :args (@t87 @t86)) % 2.52/2.78 (step @p1634 :rule trans :premises (@p1633 @p1632)) % 2.52/2.78 (step @p1635 :rule cong :premises (@p1634) :args (@t88)) % 2.52/2.78 (step @p1636 :rule trans :premises (@p1635 @p1625)) % 2.52/2.78 (step @p1637 :rule cong :premises (@p1636) :args (@t89)) % 2.52/2.78 (step @p1638 :rule trans :premises (@p20 @p1637)) % 2.52/2.78 (step @p1639 :rule ho_cong :premises (@p1638 @p1607)) % 2.52/2.78 (step @p1640 :rule ho_cong :premises (@p1639 @p1604)) % 2.52/2.78 (step @p1641 :rule cong :premises (@p1640) :args (@t145)) % 2.52/2.78 (step @p1642 :rule ho_cong :premises (@p261 @p1641)) % 2.52/2.78 (step @p1643 :rule trans :premises (@p1642 @p1567)) % 2.52/2.78 (step @p1644 :rule cong :premises (@p1643) :args (@t147)) % 2.52/2.78 (step @p1645 :rule trans :premises (@p47 @p1644)) % 2.52/2.78 (step @p1646 :rule ho_cong :premises (@p1645 @p1448)) % 2.52/2.78 (step @p1647 :rule ho_cong :premises (@p1646 @p1475)) % 2.52/2.78 (step @p1648 :rule ho_cong :premises (@p1647 @p840)) % 2.52/2.78 (step @p1649 :rule cong :premises (@p1648) :args (@t155)) % 2.52/2.78 (step @p1650 :rule ho_cong :premises (@p1437 @p1649)) % 2.52/2.78 (step @p1651 :rule trans :premises (@p1650 @p1507)) % 2.52/2.78 (step @p1652 :rule cong :premises (@p1651) :args (@t157)) % 2.52/2.78 (step @p1653 :rule trans :premises (@p52 @p1652)) % 2.52/2.78 (step @p1654 :rule ho_cong :premises (@p1653 @p1475)) % 2.52/2.78 (step @p1655 :rule ho_cong :premises (@p1654 @p1475)) % 2.52/2.78 (step @p1656 :rule trans :premises (@p1655 @p1478)) % 2.52/2.78 (step @p1657 :rule cong :premises (@p1656) :args (@t159)) % 2.52/2.78 (step @p1658 :rule trans :premises (@p53 @p1657)) % 2.52/2.78 (step @p1659 :rule ho_cong :premises (@p1658 @p1473)) % 2.52/2.78 (step @p1660 :rule beta-reduce :args ((= (_ @t1560 @t2) @t1553))) % 2.52/2.78 (step @p1661 :rule ho_cong :premises (@p1476 @p840)) % 2.52/2.78 (step @p1662 :rule trans :premises (@p1661 @p1660)) % 2.52/2.78 (step @p1663 :rule ho_cong :premises (@p1439 @p1662)) % 2.52/2.78 (step @p1664 :rule ho_cong :premises (@p1654 @p840)) % 2.52/2.78 (step @p1665 :rule ho_cong :premises (@p1439 @p1664)) % 2.52/2.78 (step @p1666 :rule trans :premises (@p1665 @p1663)) % 2.52/2.78 (step @p1667 :rule cong :premises (@p1666) :args (@t160)) % 2.52/2.78 (step @p1668 :rule trans :premises (@p54 @p1667)) % 2.52/2.78 (step @p1669 :rule ho_cong :premises (@p1668 @p1659)) % 2.52/2.78 (step @p1670 :rule ho_cong :premises (@p1669 @p1443)) % 2.52/2.78 (step @p1671 :rule cong :premises (@p1670) :args (@t52)) % 2.52/2.78 (step @p1672 :rule beta-reduce :args ((= (_ @t1535 @t19) @t1534))) % 2.52/2.78 (step @p1673 :rule beta-reduce :args ((= (_ @t1622 @t2) @t1535))) % 2.52/2.78 (step @p1674 :rule beta-reduce :args ((= @t1623 @t1622))) % 2.52/2.78 (step @p1675 :rule ho_cong :premises (@p1674 @p840)) % 2.52/2.78 (step @p1676 :rule trans :premises (@p1675 @p1673)) % 2.52/2.78 (step @p1677 :rule ho_cong :premises (@p1676 @p740)) % 2.52/2.78 (step @p1678 :rule trans :premises (@p1677 @p1672)) % 2.52/2.78 (step @p1679 :rule cong :premises (@p1678) :args ((lambda @t23 (_ (_ @t1623 @t2) @t19)))) % 2.52/2.78 (step @p1680 :rule ho_cong :premises (@p261 @p1679)) % 2.52/2.78 (step @p1681 :rule refl :args (@t195)) % 2.52/2.78 (step @p1682 :rule refl :args (@t776)) % 2.52/2.78 (step @p1683 :rule refl :args (@t193)) % 2.52/2.78 (step @p1684 :rule cong :premises (@p1683 @p1682) :args ((= @t193 @t776))) % 2.52/2.78 (step @p1685 :rule symm :premises (@p1684)) % 2.52/2.78 (step @p1686 :rule eq_resolve :premises (@p1683 @p1685)) % 2.52/2.78 (step @p1687 :rule refl :args (@t1533)) % 2.52/2.78 (step @p1688 :rule nary_cong :premises (@p1687 @p1686) :args (@t1624)) % 2.52/2.78 (step @p1689 :rule cong :premises (@p1688) :args ((forall @t211 @t1624))) % 2.52/2.78 (step @p1690 :rule bool-impl-elim :args (@t1532 @t193)) % 2.52/2.78 (step @p1691 :rule cong :premises (@p1690) :args ((forall @t211 (=> @t1532 @t193)))) % 2.52/2.78 (step @p1692 :rule trans :premises (@p1691 @p1689)) % 2.52/2.78 (step @p1693 :rule refl :args (@t193)) % 2.52/2.78 (step @p1694 :rule refl :args ((_ @t191 @t57 @t196))) % 2.52/2.78 (step @p1695 :rule refl :args (@t1530)) % 2.52/2.78 (step @p1696 :rule cong :premises (@p153 @p1695) :args (@t1531)) % 2.52/2.78 (step @p1697 :rule trans :premises (@p1696 @p1694)) % 2.52/2.78 (step @p1698 :rule refl :args (@t197)) % 2.52/2.78 (step @p1699 :rule ho_cong :premises (@p1698 @p1695)) % 2.52/2.78 (step @p1700 :rule cong :premises (@p1699 @p1697) :args ((= (_ @t197 @t1530) @t1531))) % 2.52/2.78 (step @p1701 :rule symm :premises (@p1700)) % 2.52/2.78 (step @p1702 :rule refl :args (@t198)) % 2.52/2.78 (step @p1703 :rule eq_resolve :premises (@p1702 @p1701)) % 2.52/2.78 (step @p1704 :rule refl :args (@t196)) % 2.52/2.78 (step @p1705 :rule cong :premises (@p1704 @p1695) :args ((= @t196 @t1530))) % 2.52/2.78 (step @p1706 :rule symm :premises (@p1705)) % 2.52/2.78 (step @p1707 :rule eq_resolve :premises (@p1704 @p1706)) % 2.52/2.78 (step @p1708 :rule ho_cong :premises (@p1698 @p1707)) % 2.52/2.78 (step @p1709 :rule trans :premises (@p1708 @p1703)) % 2.52/2.78 (step @p1710 :rule nary_cong :premises (@p1409 @p1709) :args (@t1625)) % 2.52/2.78 (step @p1711 :rule cong :premises (@p1710) :args ((forall @t208 @t1625))) % 2.52/2.78 (step @p1712 :rule bool-impl-elim :args (@t416 @t198)) % 2.52/2.78 (step @p1713 :rule cong :premises (@p1712) :args ((forall @t208 (=> @t416 @t198)))) % 2.52/2.78 (step @p1714 :rule trans :premises (@p1713 @p1711)) % 2.52/2.78 (step @p1715 :rule refl :args (@t198)) % 2.52/2.78 (step @p1716 :rule refl :args (@t201)) % 2.52/2.78 (step @p1717 :rule ho_cong :premises (@p1716 @p157)) % 2.52/2.78 (step @p1718 :rule cong :premises (@p1717 @p160) :args ((= (_ @t201 @t411) @t412))) % 2.52/2.78 (step @p1719 :rule symm 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:args (@t1807)) % 2.52/2.78 (step @p1949 :rule nary_cong :premises (@p874 @p1948) :args (@t1808)) % 2.52/2.78 (step @p1950 :rule cong :premises (@p1949) :args (@t1809)) % 2.52/2.78 (step @p1951 :rule cong :premises (@p1950) :args (@t1810)) % 2.52/2.78 (step @p1952 :rule cong :premises (@p1951) :args (@t1811)) % 2.52/2.78 (step @p1953 :rule cong :premises (@p249 @p1952) :args (@t1812)) % 2.52/2.78 (step @p1954 :rule cong :premises (@p880 @p1953) :args (@t1813)) % 2.52/2.78 (step @p1955 :rule refl :args (@t596)) % 2.52/2.78 (step @p1956 :rule cong :premises (@p1955 @p1243) :args (@t1814)) % 2.52/2.78 (step @p1957 :rule nary_cong :premises (@p1956 @p1954) :args (@t1815)) % 2.52/2.78 (step @p1958 :rule nary_cong :premises (@p884 @p1957) :args (@t1816)) % 2.52/2.78 (step @p1959 :rule cong :premises (@p1958) :args (@t1817)) % 2.52/2.78 (step @p1960 :rule cong :premises (@p1959) :args (@t1818)) % 2.52/2.78 (step @p1961 :rule cong :premises (@p1960) :args (@t1819)) % 2.52/2.78 (step @p1962 :rule cong :premises (@p249 @p1961) :args (@t1820)) % 2.52/2.78 (step @p1963 :rule cong :premises (@p1962) :args (@t1821)) % 2.52/2.78 (step @p1964 :rule cong :premises (@p891 @p1963) :args (@t1822)) % 2.52/2.78 (step @p1965 :rule cong :premises (@p1964) :args (@t1823)) % 2.52/2.78 (step @p1966 :rule nary_cong :premises (@p1965 @p871) :args (@t1824)) % 2.52/2.78 (step @p1967 :rule nary_cong :premises (@p1966 @p1807) :args (@t1825)) % 2.52/2.78 (step @p1968 :rule cong :premises (@p897 @p1963) :args (@t1826)) % 2.52/2.78 (step @p1969 :rule cong :premises (@p1968) :args (@t1827)) % 2.52/2.78 (step @p1970 :rule nary_cong :premises (@p903 @p1807) :args (@t1828)) % 2.52/2.78 (step @p1971 :rule cong :premises (@p909 @p1963) :args (@t1829)) % 2.52/2.78 (step @p1972 :rule cong :premises (@p1971) :args (@t1830)) % 2.52/2.78 (step @p1973 :rule nary_cong :premises (@p1972 @p908) :args (@t1831)) % 2.52/2.78 (step @p1974 :rule nary_cong :premises (@p1973 @p1807) :args (@t1832)) % 2.52/2.78 (step 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@p1974 @p906 @p1970) :args (@t1845)) % 2.52/2.78 (step @p1989 :rule cong :premises (@p1988) :args (@t1846)) % 2.52/2.78 (step @p1990 :rule cong :premises (@p1989) :args (@t1847)) % 2.52/2.78 (step @p1991 :rule nary_cong :premises (@p1990 @p1807) :args (@t1848)) % 2.52/2.78 (step @p1992 :rule nary_cong :premises (@p936 @p1991 @p1969 @p1967) :args (@t1849)) % 2.52/2.78 (step @p1993 :rule cong :premises (@p1992) :args (@t1850)) % 2.52/2.78 (step @p1994 :rule cong :premises (@p1993) :args (@t1851)) % 2.52/2.78 (step @p1995 :rule nary_cong :premises (@p941 @p1994) :args (@t1852)) % 2.52/2.78 (step @p1996 :rule cong :premises (@p1995) :args (@t1853)) % 2.52/2.78 (step @p1997 :rule cong :premises (@p1996) :args (@t1854)) % 2.52/2.78 (step @p1998 :rule cong :premises (@p1759 @p968) :args (@t1855)) % 2.52/2.78 (step @p1999 :rule nary_cong :premises (@p1761 @p1998) :args (@t1856)) % 2.52/2.78 (step @p2000 :rule cong :premises (@p711 @p1764) :args (@t1857)) % 2.52/2.78 (step @p2001 :rule cong 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:rule nary_cong :premises (@p2759 @p2398) :args ((and @t2157 @t2019))) % 2.52/2.78 (step @p2761 :rule alpha_equiv :args (@t2160 @t2161 (@list @t447 @t446))) % 2.52/2.78 (step @p2762 :rule alpha_equiv :args (@t2189 @t2161 (@list @t496 @t497))) % 2.52/2.78 (step @p2763 :rule nary_cong :premises (@p2762 @p2761) :args (@t2190)) % 2.52/2.78 (step @p2764 :rule quant-miniscope-and :args ((= (forall @t75 (and @t2188 @t2159)) @t2190))) % 2.52/2.78 (step @p2765 :rule trans :premises (@p2764 @p2763)) % 2.52/2.78 (step @p2766 :rule trans :premises (@p2765 @p2760)) % 2.52/2.78 (step @p2767 :rule bool-impl-elim :args (@t2158 tptp.c_False)) % 2.52/2.78 (step @p2768 :rule refl :args (@t2166)) % 2.52/2.78 (step @p2769 :rule aci_norm :args ((= (and @t2186 (and @t2178 @t2176)) @t2187))) % 2.52/2.78 (step @p2770 :rule bool-implies-de-morgan :args (@t2178 @t2175)) % 2.52/2.78 (step @p2771 :rule refl :args (@t2186)) % 2.52/2.78 (step @p2772 :rule nary_cong :premises (@p2771 @p2770) :args ((and @t2186 (not @t2191)))) % 2.52/2.78 (step @p2773 :rule trans :premises (@p2772 @p2769)) % 2.52/2.78 (step @p2774 :rule bool-implies-de-morgan :args (@t2186 @t2191)) % 2.52/2.78 (step @p2775 :rule trans :premises (@p2774 @p2773)) % 2.52/2.78 (step @p2776 :rule nary_cong :premises (@p2775 @p2768) :args ((or (not @t2192) @t2166))) % 2.52/2.78 (step @p2777 :rule bool-impl-elim :args (@t2192 @t2166)) % 2.52/2.78 (step @p2778 :rule trans :premises (@p2777 @p2776)) % 2.52/2.78 (step @p2779 :rule nary_cong :premises (@p2778 @p2767) :args (@t2195)) % 2.52/2.78 (step @p2780 :rule cong :premises (@p2779) :args ((forall @t75 @t2195))) % 2.52/2.78 (step @p2781 :rule trans :premises (@p2780 @p2766)) % 2.52/2.78 (step @p2782 :rule beta-reduce :args ((= (_ (lambda @t1583 (and @t2194 @t1582)) @t2193) @t2195))) % 2.52/2.78 (step @p2783 :rule beta-reduce :args ((= (_ @t79 @t2158) @t2193))) % 2.52/2.78 (step @p2784 :rule beta-reduce :args ((= (_ (lambda @t33 (_ tptp.c_Union (_ @t156 @t2197))) tptp.c_Empty) @t2009))) % 2.52/2.78 ; trust TRUST_THEORY_REWRITE % 2.52/2.78 (step @p2785 :rule trust :premises () :args ((= (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or (and @t154 (= @t24 (_ (_ tptp.c_Repl (_ tptp.c_Union (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t443 (or (and @t154 @t1993) (and @t1499 @t1974)))))))) @t1972))) @t2196)))) @t2197))) % 2.52/2.78 (step @p2786 :rule refl :args (@t2196)) % 2.52/2.78 (step @p2787 :rule refl :args (@t1972)) % 2.52/2.78 (step @p2788 :rule eq-symm :args (@t433 @t1973)) % 2.52/2.78 (step @p2789 :rule nary_cong :premises (@p1429 @p2788) :args (@t2198)) % 2.52/2.78 (step @p2790 :rule eq-symm :args (@t433 @t1992)) % 2.52/2.78 (step @p2791 :rule nary_cong :premises (@p1448 @p2790) :args (@t2199)) % 2.52/2.78 (step @p2792 :rule nary_cong :premises (@p2791 @p2789) :args (@t2200)) % 2.52/2.78 (step @p2793 :rule cong :premises (@p2792) :args (@t2201)) % 2.52/2.78 (step @p2794 :rule ho_cong :premises (@p261 @p2793)) % 2.52/2.78 (step @p2795 :rule cong :premises (@p2794) :args (@t2202)) % 2.52/2.78 (step @p2796 :rule ho_cong :premises (@p1437 @p2795)) % 2.52/2.78 (step @p2797 :rule ho_cong :premises (@p1439 @p2796)) % 2.52/2.78 (step @p2798 :rule refl :args (tptp.c_Repl)) % 2.52/2.78 (step @p2799 :rule ho_cong :premises (@p2798 @p2797)) % 2.52/2.78 (step @p2800 :rule ho_cong :premises (@p2799 @p2787)) % 2.52/2.78 (step @p2801 :rule cong :premises (@p266 @p2800) :args (@t2203)) % 2.52/2.78 (step @p2802 :rule nary_cong :premises (@p1448 @p2801) :args (@t2204)) % 2.52/2.78 (step @p2803 :rule nary_cong :premises (@p2802 @p2786) :args (@t2205)) % 2.52/2.78 (step @p2804 :rule cong :premises (@p2803) :args (@t2206)) % 2.52/2.78 ; trust TRUST_THEORY_REWRITE % 2.52/2.78 (step @p2805 :rule trust :premises () :args ((= @t2210 @t2206))) % 2.52/2.78 (step @p2806 :rule trans :premises (@p2805 @p2804)) % 2.52/2.78 (step @p2807 :rule ho_cong :premises (@p261 @p2806)) % 2.52/2.78 (step @p2808 :rule cong :premises (@p2807) :args (@t2211)) % 2.52/2.78 (step @p2809 :rule trans :premises (@p2808 @p2785)) % 2.52/2.78 (step @p2810 :rule ho_cong :premises (@p1437 @p2809)) % 2.52/2.78 (step @p2811 :rule ho_cong :premises (@p1439 @p2810)) % 2.52/2.78 (step @p2812 :rule cong :premises (@p2811) :args (@t2212)) % 2.52/2.78 (step @p2813 :rule beta-reduce :args ((= (_ @t2216 @t2209) @t2212))) % 2.52/2.78 (step @p2814 :rule trans :premises (@p2813 @p2812)) % 2.52/2.78 (step @p2815 :rule beta-reduce :args ((= (_ @t2218 @t54) @t2209))) % 2.52/2.78 (step @p2816 :rule refl :args (@t54)) % 2.52/2.78 ; trust TRUST_THEORY_REWRITE % 2.52/2.78 (step @p2817 :rule trust :premises () :args ((= (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or (and @t154 (= @t24 (_ (_ tptp.c_Repl (_ tptp.c_Power (_ tptp.c_Union (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t441 (or (and @t154 @t1983) (and @t1499 @t1978))))))))) @t1972))) @t2196)))) @t2217))) % 2.52/2.78 (step @p2818 :rule eq-symm :args (@t437 @t1965)) % 2.52/2.78 (step @p2819 :rule nary_cong :premises (@p1429 @p2818) :args (@t2219)) % 2.52/2.78 (step @p2820 :rule eq-symm :args (@t437 @t1982)) % 2.52/2.78 (step @p2821 :rule nary_cong :premises (@p1448 @p2820) :args (@t2220)) % 2.52/2.78 (step @p2822 :rule nary_cong :premises (@p2821 @p2819) :args (@t2221)) % 2.52/2.78 (step @p2823 :rule cong :premises (@p2822) :args (@t2222)) % 2.52/2.78 (step @p2824 :rule ho_cong :premises (@p261 @p2823)) % 2.52/2.78 (step @p2825 :rule cong :premises (@p2824) :args (@t2223)) % 2.52/2.78 (step @p2826 :rule ho_cong :premises (@p1437 @p2825)) % 2.52/2.78 (step @p2827 :rule ho_cong :premises (@p1439 @p2826)) % 2.52/2.78 (step @p2828 :rule refl :args (tptp.c_Power)) % 2.52/2.78 (step @p2829 :rule ho_cong :premises (@p2828 @p2827)) % 2.52/2.78 (step @p2830 :rule ho_cong :premises (@p2798 @p2829)) % 2.52/2.78 (step @p2831 :rule ho_cong :premises (@p2830 @p2787)) % 2.52/2.78 (step @p2832 :rule cong :premises (@p266 @p2831) :args (@t2224)) % 2.52/2.78 (step @p2833 :rule nary_cong :premises (@p1448 @p2832) :args (@t2225)) % 2.52/2.78 (step @p2834 :rule nary_cong :premises (@p2833 @p2786) :args (@t2226)) % 2.52/2.78 (step @p2835 :rule cong :premises (@p2834) :args (@t2227)) % 2.52/2.78 ; trust TRUST_THEORY_REWRITE % 2.52/2.78 (step @p2836 :rule trust :premises () :args ((= @t2231 @t2227))) % 2.52/2.78 (step @p2837 :rule trans :premises (@p2836 @p2835)) % 2.52/2.78 (step @p2838 :rule ho_cong :premises (@p261 @p2837)) % 2.52/2.78 (step @p2839 :rule cong :premises (@p2838) :args (@t2232)) % 2.52/2.78 (step @p2840 :rule trans :premises (@p2839 @p2817)) % 2.52/2.78 (step @p2841 :rule ho_cong :premises (@p1437 @p2840)) % 2.52/2.78 (step @p2842 :rule ho_cong :premises (@p1439 @p2841)) % 2.52/2.78 (step @p2843 :rule cong :premises (@p2842) :args (@t2233)) % 2.52/2.78 (step @p2844 :rule beta-reduce :args ((= (_ @t2216 @t2230) @t2233))) % 2.52/2.78 (step @p2845 :rule trans :premises (@p2844 @p2843)) % 2.52/2.78 (step @p2846 :rule beta-reduce :args ((= (_ @t2234 tptp.c_Empty) @t2229))) % 2.52/2.78 (step @p2847 :rule beta-reduce :args ((= @t2235 @t2234))) % 2.52/2.78 (step @p2848 :rule ho_cong :premises (@p2847 @p1473)) % 2.52/2.78 (step @p2849 :rule trans :premises (@p2848 @p2846)) % 2.52/2.78 (step @p2850 :rule ho_cong :premises (@p2828 @p2849)) % 2.52/2.78 (step @p2851 :rule refl :args (@t2216)) % 2.52/2.78 (step @p2852 :rule ho_cong :premises (@p2851 @p2850)) % 2.52/2.78 (step @p2853 :rule trans :premises (@p2852 @p2845)) % 2.52/2.78 (step @p2854 :rule ho_cong :premises (@p2853 @p2816)) % 2.52/2.78 (step @p2855 :rule trans :premises (@p2854 @p2815)) % 2.52/2.78 (step @p2856 :rule ho_cong :premises (@p2851 @p2855)) % 2.52/2.78 (step @p2857 :rule trans :premises (@p2856 @p2814)) % 2.52/2.78 (step @p2858 :rule ho_cong :premises (@p2857 @p1473)) % 2.52/2.78 (step @p2859 :rule trans :premises (@p2858 @p2784)) % 2.52/2.78 (step @p2860 :rule refl :args (@t25)) % 2.52/2.78 (step @p2861 :rule ho_cong :premises (@p2860 @p2859)) % 2.52/2.78 (step @p2862 :rule ho_cong :premises (@p2860 @p2861)) % 2.52/2.78 (step @p2863 :rule ho_cong :premises (@p2860 @p2862)) % 2.52/2.78 (step @p2864 :rule refl :args (@t1)) % 2.52/2.78 (step @p2865 :rule ho_cong :premises (@p2864 @p2863)) % 2.52/2.78 (step @p2866 :rule ho_cong :premises (@p1231 @p2865)) % 2.52/2.78 (step @p2867 :rule trans :premises (@p2866 @p2783)) % 2.52/2.78 (step @p2868 :rule bool-eq-true :args (@t2194)) % 2.52/2.78 (step @p2869 :rule nary_cong :premises (@p2868 @p1518) :args ((and @t2236 @t1587))) % 2.52/2.78 (step @p2870 :rule ite-else-false :args (@t2236 @t1587)) % 2.52/2.78 (step @p2871 :rule trans :premises (@p2870 @p2869)) % 2.52/2.78 (step @p2872 :rule cong :premises (@p2871) :args (@t2237)) % 2.52/2.78 (step @p2873 :rule beta-reduce :args ((= (_ @t1591 @t2194) @t2237))) % 2.52/2.78 (step @p2874 :rule trans :premises (@p2873 @p2872)) % 2.52/2.78 (step @p2875 :rule aci_norm :args ((= @t2239 @t2165))) % 2.52/2.78 (step @p2876 :rule cong :premises (@p2875) :args (@t2240)) % 2.52/2.78 (step @p2877 :rule quant-merge-prenex :args ((= (forall @t23 @t2242) @t2240))) % 2.52/2.78 (step @p2878 :rule refl :args (@t1803)) % 2.52/2.78 (step @p2879 :rule alpha_equiv :args (@t2243 (@list @t495 @t452) (@list @t24 @t2244))) % 2.52/2.78 (step @p2880 :rule nary_cong :premises (@p2879 @p2878) :args (@t2245)) % 2.52/2.78 (step @p2881 :rule quant-miniscope-or :args ((= @t2242 @t2245))) % 2.52/2.78 (step @p2882 :rule trans :premises (@p2881 @p2880)) % 2.52/2.78 (step @p2883 :rule symm :premises (@p2882)) % 2.52/2.78 (step @p2884 :rule cong :premises (@p2883) :args ((forall @t23 (or @t2248 @t1803)))) % 2.52/2.78 (step @p2885 :rule trans :premises (@p2884 @p2877)) % 2.52/2.78 (step @p2886 :rule trans :premises (@p2885 @p2876)) % 2.52/2.78 (step @p2887 :rule bool-implies-de-morgan :args (@t1802 tptp.c_False)) % 2.52/2.78 (step @p2888 :rule refl :args (@t2248)) % 2.52/2.78 (step @p2889 :rule nary_cong :premises (@p2888 @p2887) :args ((or @t2248 @t2250))) % 2.52/2.78 (step @p2890 :rule refl :args (@t2250)) % 2.52/2.78 (step @p2891 :rule bool-double-not-elim :args (@t2248)) % 2.52/2.78 (step @p2892 :rule nary_cong :premises (@p2891 @p2890) :args ((or (not @t2251) @t2250))) % 2.52/2.78 (step @p2893 :rule bool-and-de-morgan :args (@t2251 @t2249 true)) % 2.52/2.78 (step @p2894 :rule trans :premises (@p2893 @p2892)) % 2.52/2.78 (step @p2895 :rule trans :premises (@p2894 @p2889)) % 2.52/2.78 (step @p2896 :rule cong :premises (@p2895) :args (@t2253)) % 2.52/2.78 (step @p2897 :rule trans :premises (@p2896 @p2886)) % 2.52/2.78 (step @p2898 :rule cong :premises (@p2897) :args (@t2254)) % 2.52/2.78 (step @p2899 :rule exists-elim :args ((= (exists @t23 @t2252) @t2254))) % 2.52/2.78 (step @p2900 :rule trans :premises (@p2899 @p2898)) % 2.52/2.78 (step @p2901 :rule beta-reduce :args ((= (_ (lambda @t1583 (and @t2251 @t1582)) @t2249) @t2252))) % 2.52/2.78 (step @p2902 :rule refl :args (@t2249)) % 2.52/2.78 (step @p2903 :rule refl :args (@t1582)) % 2.52/2.78 (step @p2904 :rule refl :args (@t2246)) % 2.52/2.78 (step @p2905 :rule alpha_equiv :args (@t2256 @t1041 (@list @t483))) % 2.52/2.78 (step @p2906 :rule cong :premises (@p183 @p2905) :args (@t2257)) % 2.52/2.78 (step @p2907 :rule cong :premises (@p2906) :args (@t2258)) % 2.52/2.78 (step @p2908 :rule cong :premises (@p2907) :args (@t2259)) % 2.52/2.78 (step @p2909 :rule nary_cong :premises (@p2908 @p1218) :args (@t2260)) % 2.52/2.78 (step @p2910 :rule nary_cong :premises (@p2909 @p2904) :args (@t2261)) % 2.52/2.78 (step @p2911 :rule refl :args (@t2163)) % 2.52/2.78 (step @p2912 :rule nary_cong :premises (@p2911 @p2910) :args (@t2262)) % 2.52/2.78 (step @p2913 :rule refl :args (@t625)) % 2.52/2.78 (step @p2914 :rule nary_cong :premises (@p2913 @p2912) :args (@t2263)) % 2.52/2.78 (step @p2915 :rule cong :premises (@p2914) :args (@t2264)) % 2.52/2.78 (step @p2916 :rule cong :premises (@p2915) :args (@t2265)) % 2.52/2.78 (step @p2917 :rule nary_cong :premises (@p2916 @p2903) :args (@t2266)) % 2.52/2.78 (step @p2918 :rule cong :premises (@p2917) :args ((lambda @t1583 @t2266))) % 2.52/2.78 (step @p2919 :rule ho_cong :premises (@p2918 @p2902)) % 2.52/2.78 (step @p2920 :rule trans :premises (@p2919 @p2901)) % 2.52/2.78 (step @p2921 :rule beta-reduce :args ((= (_ @t79 @t1802) @t2249))) % 2.52/2.78 (step @p2922 :rule beta-reduce :args ((= (_ (lambda @t18 (not (forall @t33 (or @t583 @t576 @t2270 (not (forall @t544 (or @t543 (and @t2268 @t2269) (and (or (not @t2268) tptp.c_False) @t2267)))))))) @t19) @t1802))) % 2.52/2.78 (step @p2923 :rule refl :args (@t2267)) % 2.52/2.78 (step @p2924 :rule refl :args (@t1743)) % 2.52/2.78 (step @p2925 :rule eq-symm :args (@t503 @t535)) % 2.52/2.78 (step @p2926 :rule nary_cong :premises (@p1879 @p2925) :args (@t2271)) % 2.52/2.78 (step @p2927 :rule nary_cong :premises (@p2926 @p2924) :args (@t2272)) % 2.52/2.78 (step @p2928 :rule cong :premises (@p2927) :args (@t2273)) % 2.52/2.78 (step @p2929 :rule cong :premises (@p2928) :args (@t2274)) % 2.52/2.78 (step @p2930 :rule cong :premises (@p2929) :args (@t2275)) % 2.52/2.78 (step @p2931 :rule cong :premises (@p249 @p2930) :args (@t2276)) % 2.52/2.78 (step @p2932 :rule cong :premises (@p2931) :args (@t2277)) % 2.52/2.78 (step @p2933 :rule cong :premises (@p2932 @p1475) :args (@t2278)) % 2.52/2.78 (step @p2934 :rule cong :premises (@p2933) :args (@t2279)) % 2.52/2.78 (step @p2935 :rule nary_cong :premises (@p2934 @p1196) :args (@t2280)) % 2.52/2.78 (step @p2936 :rule nary_cong :premises (@p2935 @p2923) :args (@t2281)) % 2.52/2.78 (step @p2937 :rule refl :args (@t2269)) % 2.52/2.78 (step @p2938 :rule nary_cong :premises (@p2933 @p2937) :args (@t2282)) % 2.52/2.78 (step @p2939 :rule nary_cong :premises (@p805 @p2938 @p2936) :args (@t2283)) % 2.52/2.78 (step @p2940 :rule cong :premises (@p2939) :args (@t2284)) % 2.52/2.78 (step @p2941 :rule cong :premises (@p2940) :args (@t2285)) % 2.52/2.78 (step @p2942 :rule refl :args (@t2270)) % 2.52/2.78 (step @p2943 :rule nary_cong :premises (@p859 @p858 @p2942 @p2941) :args (@t2286)) % 2.52/2.78 (step @p2944 :rule cong :premises (@p2943) :args (@t2287)) % 2.52/2.78 (step @p2945 :rule cong :premises (@p2944) :args (@t2288)) % 2.52/2.78 (step @p2946 :rule cong :premises (@p2945) :args ((lambda @t18 @t2288))) % 2.52/2.78 (step @p2947 :rule ho_cong :premises (@p2946 @p740)) % 2.52/2.78 (step @p2948 :rule trans :premises (@p2947 @p2922)) % 2.52/2.78 (step @p2949 :rule refl :args (@t19)) % 2.52/2.78 (step @p2950 :rule alpha_equiv :args (@t2302 @t1041 (@list @t503))) % 2.52/2.78 (step @p2951 :rule cong :premises (@p2950) :args (@t2303)) % 2.52/2.78 (step @p2952 :rule alpha_equiv :args (@t2305 @t1041 (@list @t565))) % 2.52/2.78 (step @p2953 :rule cong :premises (@p2952) :args (@t2306)) % 2.52/2.78 (step @p2954 :rule refl :args (@t576)) % 2.52/2.78 (step @p2955 :rule refl :args (@t583)) % 2.52/2.78 (step @p2956 :rule nary_cong :premises (@p2955 @p2954 @p2953 @p2951) :args (@t2307)) % 2.52/2.78 (step @p2957 :rule cong :premises (@p2956) :args (@t2308)) % 2.52/2.78 (step @p2958 :rule cong :premises (@p2957) :args (@t2309)) % 2.52/2.78 (step @p2959 :rule cong :premises (@p2958) :args (@t2310)) % 2.52/2.78 (step @p2960 :rule ho_cong :premises (@p2959 @p2949)) % 2.52/2.78 (step @p2961 :rule trans :premises (@p2960 @p2948)) % 2.52/2.78 (step @p2962 :rule ho_cong :premises (@p1231 @p2961)) % 2.52/2.78 (step @p2963 :rule trans :premises (@p2962 @p2921)) % 2.52/2.78 (step @p2964 :rule bool-eq-true :args (@t2265)) % 2.52/2.78 (step @p2965 :rule nary_cong :premises (@p2964 @p1518) :args ((and @t2311 @t1587))) % 2.52/2.78 (step @p2966 :rule ite-else-false :args (@t2311 @t1587)) % 2.52/2.78 (step @p2967 :rule trans :premises (@p2966 @p2965)) % 2.52/2.78 (step @p2968 :rule cong :premises (@p2967) :args (@t2312)) % 2.52/2.78 (step @p2969 :rule beta-reduce :args ((= (_ @t1591 @t2265) @t2312))) % 2.52/2.78 (step @p2970 :rule trans :premises (@p2969 @p2968)) % 2.52/2.78 (step @p2971 :rule quant-merge-prenex :args ((= (forall @t30 @t2314) @t2264))) % 2.52/2.78 (step @p2972 :rule alpha_equiv :args (@t2315 (@list @t2244) (@list @t57))) % 2.52/2.78 (step @p2973 :rule refl :args (@t2260)) % 2.52/2.78 (step @p2974 :rule nary_cong :premises (@p2973 @p2972) :args (@t2316)) % 2.52/2.78 (step @p2975 :rule quant-miniscope-or :args ((= @t2317 @t2316))) % 2.52/2.78 (step @p2976 :rule trans :premises (@p2975 @p2974)) % 2.52/2.78 (step @p2977 :rule quant-unused-vars :args ((= @t2318 @t2163))) % 2.52/2.78 (step @p2978 :rule nary_cong :premises (@p2977 @p2976) :args (@t2319)) % 2.52/2.78 (step @p2979 :rule quant-miniscope-and :args ((= @t2320 @t2319))) % 2.52/2.78 (step @p2980 :rule trans :premises (@p2979 @p2978)) % 2.52/2.78 (step @p2981 :rule nary_cong :premises (@p2913 @p2980) :args (@t2321)) % 2.52/2.78 (step @p2982 :rule quant-miniscope-or :args ((= @t2314 @t2321))) % 2.52/2.78 (step @p2983 :rule trans :premises (@p2982 @p2981)) % 2.52/2.78 (step @p2984 :rule symm :premises (@p2983)) % 2.52/2.78 (step @p2985 :rule cong :premises (@p2984) :args ((forall @t30 (or @t625 (and @t2163 (or 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@p3631)) % 2.52/2.78 (step @p3633 :rule cong :premises (@p3632 @p1296) :args (@t2564)) % 2.52/2.78 (step @p3634 :rule nary_cong :premises (@p3633 @p3563) :args (@t2565)) % 2.52/2.78 (step @p3635 :rule nary_cong :premises (@p3632 @p3565) :args (@t2566)) % 2.52/2.78 (step @p3636 :rule nary_cong :premises (@p3635 @p3634) :args (@t2567)) % 2.52/2.78 (step @p3637 :rule cong :premises (@p3636) :args (@t2568)) % 2.52/2.78 (step @p3638 :rule ho_cong :premises (@p174 @p3637)) % 2.52/2.78 (step @p3639 :rule trans :premises (@p3638 @p3628)) % 2.52/2.78 (step @p3640 :rule cong :premises (@p3639) :args (@t2570)) % 2.52/2.78 (step @p3641 :rule ho_cong :premises (@p1394 @p3640)) % 2.52/2.78 (step @p3642 :rule trans :premises (@p3641 @p3623)) % 2.52/2.78 (step @p3643 :rule ho_cong :premises (@p1322 @p3642)) % 2.52/2.78 (step @p3644 :rule trans :premises (@p3643 @p3618)) % 2.52/2.78 (step @p3645 :rule cong :premises (@p2949 @p3644) :args (@t2573)) % 2.52/2.78 (step @p3646 :rule refl :args (@t2301)) % 2.52/2.78 (step @p3647 :rule nary_cong :premises (@p3646 @p3645) :args (@t2574)) % 2.52/2.78 (step @p3648 :rule cong :premises (@p3647) :args ((forall @t23 @t2574))) % 2.52/2.78 (step @p3649 :rule trans :premises (@p3648 @p3597)) % 2.52/2.78 (step @p3650 :rule alpha_equiv :args (@t2546 @t1041 (@list @t612))) % 2.52/2.78 (step @p3651 :rule ho_cong :premises (@p3271 @p3650)) % 2.52/2.78 (step @p3652 :rule ho_cong :premises (@p1322 @p3651)) % 2.52/2.78 (step @p3653 :rule cong :premises (@p2949 @p3652) :args (@t2575)) % 2.52/2.78 (step @p3654 :rule nary_cong :premises (@p3646 @p3653) :args (@t2576)) % 2.52/2.78 (step @p3655 :rule cong :premises (@p3654) :args (@t2577)) % 2.52/2.78 (step @p3656 :rule trans :premises (@p3655 @p3649)) % 2.52/2.78 (step @p3657 :rule cong :premises (@p3656) :args (@t2578)) % 2.52/2.78 (step @p3658 :rule nary_cong :premises (@p3657 @p3584 @p906 @p2728) :args (@t2579)) % 2.52/2.78 (step @p3659 :rule cong :premises (@p3658) :args (@t2580)) % 2.52/2.78 (step @p3660 :rule trans :premises (@p3659 @p3583)) % 2.52/2.78 (step @p3661 :rule cong :premises (@p3660) :args (@t2581)) % 2.52/2.78 (step @p3662 :rule cong :premises (@p3661 @p1196) :args (@t2582)) % 2.52/2.78 (step @p3663 :rule refl :args (@t2495)) % 2.52/2.78 (step @p3664 :rule refl :args (@t2492)) % 2.52/2.78 (step @p3665 :rule cong :premises (@p3664 @p3478) :args (@t2583)) % 2.52/2.78 (step @p3666 :rule cong :premises (@p3665) :args (@t2584)) % 2.52/2.78 (step @p3667 :rule nary_cong :premises (@p3666 @p3663) :args (@t2585)) % 2.52/2.78 (step @p3668 :rule nary_cong :premises (@p3667 @p1194) :args (@t2586)) % 2.52/2.78 (step @p3669 :rule cong :premises (@p840 @p3478) :args (@t2587)) % 2.52/2.78 (step @p3670 :rule cong :premises (@p3669) :args (@t2588)) % 2.52/2.78 (step @p3671 :rule nary_cong :premises (@p3670 @p3668) :args (@t2589)) % 2.52/2.78 (step @p3672 :rule cong :premises (@p3671) :args ((forall @t2496 @t2589))) % 2.52/2.78 (step @p3673 :rule refl :args (@t2495)) % 2.52/2.78 (step @p3674 :rule refl :args (@t2492)) % 2.52/2.78 (step @p3675 :rule cong :premises (@p3674 @p3575) :args (@t2590)) % 2.52/2.78 (step @p3676 :rule cong :premises (@p3675) :args (@t2591)) % 2.52/2.78 (step @p3677 :rule nary_cong :premises (@p3676 @p3673) :args (@t2592)) % 2.52/2.78 (step @p3678 :rule nary_cong :premises (@p3677 @p1218) :args (@t2593)) % 2.52/2.78 (step @p3679 :rule refl :args (@t2)) % 2.52/2.78 (step @p3680 :rule cong :premises (@p3679 @p3575) :args (@t2594)) % 2.52/2.78 (step @p3681 :rule cong :premises (@p3680) :args (@t2595)) % 2.52/2.78 (step @p3682 :rule nary_cong :premises (@p3681 @p3678) :args (@t2596)) % 2.52/2.78 (step @p3683 :rule cong :premises (@p3682) :args (@t2597)) % 2.52/2.78 (step @p3684 :rule trans :premises (@p3683 @p3672)) % 2.52/2.78 (step @p3685 :rule cong :premises (@p3684) :args (@t2598)) % 2.52/2.78 (step @p3686 :rule nary_cong :premises (@p3685 @p3662) :args (@t2599)) % 2.52/2.78 (step @p3687 :rule beta-reduce :args ((= (_ @t2616 @t2548) @t2599))) % 2.52/2.78 (step @p3688 :rule trans :premises (@p3687 @p3686)) % 2.52/2.78 (step @p3689 :rule eq-symm :args (@t2538 @t593)) % 2.52/2.78 (step @p3690 :rule nary_cong :premises (@p1429 @p3689) :args (@t2617)) % 2.52/2.78 (step @p3691 :rule refl :args (@t2542)) % 2.52/2.78 (step @p3692 :rule nary_cong :premises (@p3691 @p3690) :args (@t2618)) % 2.52/2.78 (step @p3693 :rule cong :premises (@p3692) :args (@t2619)) % 2.52/2.78 (step @p3694 :rule ho_cong :premises (@p261 @p3693)) % 2.52/2.78 (step @p3695 :rule cong :premises (@p3694) :args (@t2620)) % 2.52/2.78 (step @p3696 :rule ho_cong :premises (@p1437 @p3695)) % 2.52/2.78 (step @p3697 :rule ho_cong :premises (@p1439 @p3696)) % 2.52/2.78 (step @p3698 :rule beta-reduce :args ((= (_ (lambda @t18 (_ tptp.c_Union (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t599 (or @t2623 (and @t1499 (= @t2622 @t593))))))))) @t26) (_ tptp.c_Union (_ @t156 @t2620))))) % 2.52/2.78 (step @p3699 :rule trans :premises (@p3698 @p3697)) % 2.52/2.78 (step @p3700 :rule refl :args (@t26)) % 2.52/2.78 (step @p3701 :rule eq-symm :args (@t593 @t2622)) % 2.52/2.78 (step @p3702 :rule nary_cong :premises (@p1429 @p3701) :args (@t2624)) % 2.52/2.78 (step @p3703 :rule refl :args (@t2623)) % 2.52/2.78 (step @p3704 :rule nary_cong :premises (@p3703 @p3702) :args (@t2625)) % 2.52/2.78 (step @p3705 :rule cong :premises (@p3704) :args (@t2626)) % 2.52/2.78 (step @p3706 :rule ho_cong :premises (@p261 @p3705)) % 2.52/2.78 (step @p3707 :rule cong :premises (@p3706) :args (@t2627)) % 2.52/2.78 (step @p3708 :rule ho_cong :premises (@p1437 @p3707)) % 2.52/2.78 (step @p3709 :rule ho_cong :premises (@p1439 @p3708)) % 2.52/2.78 (step @p3710 :rule cong :premises (@p3709) :args ((lambda @t18 (_ tptp.c_Union (_ @t156 @t2627))))) % 2.52/2.78 (step @p3711 :rule ho_cong :premises (@p3710 @p3700)) % 2.52/2.78 (step @p3712 :rule trans :premises (@p3711 @p3699)) % 2.52/2.78 (step @p3713 :rule alpha_equiv :args (@t2628 @t2415 (@list @t593))) % 2.52/2.78 (step @p3714 :rule ho_cong :premises (@p174 @p3713)) % 2.52/2.78 (step @p3715 :rule cong :premises (@p3714) :args (@t2629)) % 2.52/2.78 (step @p3716 :rule ho_cong :premises (@p3271 @p3715)) % 2.52/2.78 (step @p3717 :rule ho_cong :premises (@p1322 @p3716)) % 2.52/2.78 (step @p3718 :rule cong :premises (@p3717) :args (@t2630)) % 2.52/2.78 (step @p3719 :rule ho_cong :premises (@p3718 @p3544)) % 2.52/2.78 (step @p3720 :rule trans :premises (@p3719 @p3712)) % 2.52/2.78 (step @p3721 :rule refl :args (@t2616)) % 2.52/2.78 (step @p3722 :rule ho_cong :premises (@p3721 @p3720)) % 2.52/2.78 (step @p3723 :rule trans :premises (@p3722 @p3688)) % 2.52/2.78 (step @p3724 :rule ho_cong :premises (@p3372 @p3723)) % 2.52/2.78 (step @p3725 :rule trans :premises (@p3724 @p3460)) % 2.52/2.78 (step @p3726 :rule cong :premises (@p3725) :args (@t2631)) % 2.52/2.78 (step @p3727 :rule trans :premises (@p3726 @p3457)) % 2.52/2.78 (step @p3728 :rule refl :args (@t66)) % 2.52/2.78 (step @p3729 :rule cong :premises (@p3728 @p3727) :args (@t2632)) % 2.52/2.78 (step @p3730 :rule cong :premises (@p3729) :args (@t2633)) % 2.52/2.78 (step @p3731 :rule trans :premises (@p3730 @p3426)) % 2.52/2.78 (step @p3732 :rule refl :args (@t2177)) % 2.52/2.78 (step @p3733 :rule refl :args (@t69)) % 2.52/2.78 (step @p3734 :rule cong :premises (@p3733 @p3732) :args ((= @t69 @t2177))) % 2.52/2.78 (step @p3735 :rule symm :premises (@p3734)) % 2.52/2.78 (step @p3736 :rule eq_resolve :premises (@p3733 @p3735)) % 2.52/2.78 (step @p3737 :rule refl :args (@t577)) % 2.52/2.78 (step @p3738 :rule cong :premises (@p3737 @p3736) :args (@t2634)) % 2.52/2.78 (step @p3739 :rule refl :args (@t2029)) % 2.52/2.78 (step @p3740 :rule cong :premises (@p3679 @p3736) :args (@t2635)) % 2.52/2.78 (step @p3741 :rule cong :premises (@p3740) :args (@t2636)) % 2.52/2.78 (step @p3742 :rule nary_cong :premises (@p3741 @p3739 @p3738) :args (@t2637)) % 2.52/2.78 (step @p3743 :rule cong :premises (@p3742) :args (@t2638)) % 2.52/2.78 (step @p3744 :rule beta-reduce :args ((= @t2643 @t2638))) % 2.52/2.78 (step @p3745 :rule trans :premises (@p3744 @p3743)) % 2.52/2.78 (step @p3746 :rule cong :premises (@p3745 @p3731) :args (@t2644)) % 2.52/2.78 (step @p3747 :rule eq-symm :args (@t656 @t1626)) % 2.52/2.78 (step @p3748 :rule nary_cong :premises (@p1275 @p3747) :args (@t2645)) % 2.52/2.78 (step @p3749 :rule eq-symm :args (@t656 @t1857)) % 2.52/2.78 (step @p3750 :rule nary_cong :premises (@p305 @p3749) :args (@t2646)) % 2.52/2.78 (step @p3751 :rule nary_cong :premises (@p3750 @p3748) :args (@t2647)) % 2.52/2.78 (step @p3752 :rule cong :premises (@p3751) :args (@t2648)) % 2.52/2.78 (step @p3753 :rule cong :premises (@p3752) :args (@t2649)) % 2.52/2.78 (step @p3754 :rule cong :premises (@p3753) :args (@t2650)) % 2.52/2.78 (step @p3755 :rule cong :premises (@p249 @p3754) :args (@t2651)) % 2.52/2.78 (step @p3756 :rule cong :premises (@p3755) :args (@t2652)) % 2.52/2.78 (step @p3757 :rule cong :premises (@p3756) :args (@t2653)) % 2.52/2.78 (step @p3758 :rule cong :premises (@p983 @p3757) :args (@t2654)) % 2.52/2.78 (step @p3759 :rule cong :premises (@p3758) :args (@t2655)) % 2.52/2.78 (step @p3760 :rule refl :args (@t2180)) % 2.52/2.78 (step @p3761 :rule nary_cong :premises (@p3760 @p3759) :args (@t2656)) % 2.52/2.78 (step @p3762 :rule cong :premises (@p3761) :args (@t2657)) % 2.52/2.78 (step @p3763 :rule cong :premises (@p3762) :args (@t2658)) % 2.52/2.78 (step @p3764 :rule cong :premises (@p3763 @p1196) :args (@t2659)) % 2.52/2.78 (step @p3765 :rule nary_cong :premises (@p3764 @p946) :args (@t2660)) % 2.52/2.78 (step @p3766 :rule eq-symm :args (@t697 @t1965)) % 2.52/2.78 (step @p3767 :rule nary_cong :premises (@p1429 @p3766) :args (@t2661)) % 2.52/2.78 (step @p3768 :rule eq-symm :args (@t697 @t2079)) % 2.52/2.78 (step @p3769 :rule nary_cong :premises (@p1448 @p3768) :args (@t2662)) % 2.52/2.78 (step @p3770 :rule nary_cong :premises (@p3769 @p3767) :args (@t2663)) % 2.52/2.78 (step @p3771 :rule cong :premises (@p3770) :args (@t2664)) % 2.52/2.78 (step @p3772 :rule ho_cong :premises (@p261 @p3771)) % 2.52/2.78 (step @p3773 :rule cong :premises (@p3772) :args (@t2665)) % 2.52/2.78 (step @p3774 :rule ho_cong :premises (@p1437 @p3773)) % 2.52/2.78 (step @p3775 :rule ho_cong :premises (@p1439 @p3774)) % 2.52/2.78 (step @p3776 :rule ho_cong :premises (@p2860 @p3775)) % 2.52/2.78 (step @p3777 :rule refl :args (@t167)) % 2.52/2.78 (step @p3778 :rule ho_cong :premises (@p3777 @p3776)) % 2.52/2.78 (step @p3779 :rule refl :args (@t2183)) % 2.52/2.78 (step @p3780 :rule nary_cong :premises (@p3779 @p3778) :args (@t2667)) % 2.52/2.78 (step @p3781 :rule cong :premises (@p3780) :args (@t2668)) % 2.52/2.78 (step @p3782 :rule ho_cong :premises (@p261 @p3781)) % 2.52/2.78 (step @p3783 :rule cong :premises (@p1033 @p3782) :args (@t2669)) % 2.52/2.78 (step @p3784 :rule refl :args (@t2095)) % 2.52/2.78 (step @p3785 :rule ho_cong :premises (@p3784 @p3776)) % 2.52/2.78 (step @p3786 :rule cong :premises (@p3785 @p1196) :args 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(lambda @t30 (or (and @t2681 @t2692) (and (=> @t2681 tptp.c_False) @t635))) @t2680))) % 2.52/2.78 (step @p3800 :rule trans :premises (@p3799 @p3798)) % 2.52/2.78 (step @p3801 :rule cong :premises (@p266 @p2419) :args (@t2693)) % 2.52/2.78 (step @p3802 :rule nary_cong :premises (@p305 @p3801) :args (@t2694)) % 2.52/2.78 (step @p3803 :rule nary_cong :premises (@p3802 @p2060) :args (@t2695)) % 2.52/2.78 (step @p3804 :rule cong :premises (@p3803) :args (@t2696)) % 2.52/2.78 (step @p3805 :rule cong :premises (@p3804) :args (@t2697)) % 2.52/2.78 (step @p3806 :rule cong :premises (@p3805) :args (@t2698)) % 2.52/2.78 (step @p3807 :rule cong :premises (@p249 @p3806) :args (@t2699)) % 2.52/2.78 (step @p3808 :rule cong :premises (@p3807) :args (@t2700)) % 2.52/2.78 (step @p3809 :rule cong :premises (@p3808) :args (@t2701)) % 2.52/2.78 (step @p3810 :rule cong :premises (@p983 @p3809) :args (@t2702)) % 2.52/2.78 (step @p3811 :rule cong :premises (@p3810) :args (@t2703)) % 2.52/2.78 (step @p3812 :rule nary_cong :premises (@p3760 @p3811) :args (@t2704)) % 2.52/2.78 (step @p3813 :rule cong :premises (@p3812) :args ((forall @t662 @t2704))) % 2.52/2.78 (step @p3814 :rule refl :args ((_ @t25 @t2689))) % 2.52/2.78 (step @p3815 :rule refl :args ((tptp.c_Union @t2688))) % 2.52/2.78 (step @p3816 :rule refl :args ((tptp.c_Repl @t55 @t2687))) % 2.52/2.78 (step @p3817 :rule refl :args ((tptp.c_Eps_i @t2685))) % 2.52/2.78 (step @p3818 :rule cong :premises (@p183 @p2520) :args (@t2693)) % 2.52/2.78 (step @p3819 :rule nary_cong :premises (@p1297 @p3818) :args (@t2694)) % 2.52/2.78 (step @p3820 :rule nary_cong :premises (@p3819 @p2122) :args (@t2695)) % 2.52/2.78 (step @p3821 :rule cong :premises (@p3820) :args (@t2696)) % 2.52/2.78 (step @p3822 :rule cong :premises (@p3821) :args (@t2697)) % 2.52/2.78 (step @p3823 :rule trans :premises (@p3822 @p3817)) % 2.52/2.78 (step @p3824 :rule cong :premises (@p3823) :args (@t2698)) % 2.52/2.78 (step @p3825 :rule cong :premises (@p139 @p3824) :args (@t2699)) % 2.52/2.78 (step @p3826 :rule trans :premises (@p3825 @p3816)) % 2.52/2.78 (step @p3827 :rule cong :premises (@p3826) :args (@t2700)) % 2.52/2.78 (step @p3828 :rule trans :premises (@p3827 @p3815)) % 2.52/2.78 (step @p3829 :rule cong :premises (@p3828) :args (@t2701)) % 2.52/2.78 (step @p3830 :rule trans :premises (@p3829 @p3814)) % 2.52/2.78 (step @p3831 :rule refl :args (@t25)) % 2.52/2.78 (step @p3832 :rule ho_cong :premises (@p3831 @p3828)) % 2.52/2.78 (step @p3833 :rule cong :premises (@p3832 @p3830) :args ((= (_ @t25 @t2700) @t2701))) % 2.52/2.78 (step @p3834 :rule symm :premises (@p3833)) % 2.52/2.78 (step @p3835 :rule refl :args (@t2690)) % 2.52/2.78 (step @p3836 :rule eq_resolve :premises (@p3835 @p3834)) % 2.52/2.78 (step @p3837 :rule ho_cong :premises (@p1322 @p3826)) % 2.52/2.78 (step @p3838 :rule cong :premises (@p3837 @p3828) :args ((= (_ tptp.c_Union @t2699) @t2700))) % 2.52/2.78 (step @p3839 :rule symm :premises (@p3838)) % 2.52/2.78 (step @p3840 :rule refl :args (@t2689)) % 2.52/2.78 (step @p3841 :rule eq_resolve :premises (@p3840 @p3839)) % 2.52/2.78 (step @p3842 :rule ho_cong :premises (@p1329 @p3824)) % 2.52/2.78 (step @p3843 :rule cong :premises (@p3842 @p3826) :args ((= (_ @t1516 @t2698) @t2699))) % 2.52/2.78 (step @p3844 :rule symm :premises (@p3843)) % 2.52/2.78 (step @p3845 :rule refl :args (@t2688)) % 2.52/2.78 (step @p3846 :rule eq_resolve :premises (@p3845 @p3844)) % 2.52/2.78 (step @p3847 :rule ho_cong :premises (@p174 @p3821)) % 2.52/2.78 (step @p3848 :rule cong :premises (@p3847 @p3823) :args ((= (_ tptp.c_Eps_i @t2696) @t2697))) % 2.52/2.78 (step @p3849 :rule symm :premises (@p3848)) % 2.52/2.78 (step @p3850 :rule refl :args (@t2686)) % 2.52/2.78 (step @p3851 :rule eq_resolve :premises (@p3850 @p3849)) % 2.52/2.78 (step @p3852 :rule cong :premises (@p183 @p2644) :args (@t2682)) % 2.52/2.78 (step @p3853 :rule nary_cong :premises (@p1357 @p3852) :args (@t2683)) % 2.52/2.78 (step @p3854 :rule nary_cong :premises (@p3853 @p2251) :args (@t2684)) % 2.52/2.78 (step @p3855 :rule cong :premises (@p3854) :args (@t2685)) % 2.52/2.78 (step @p3856 :rule ho_cong :premises (@p174 @p3855)) % 2.52/2.78 (step @p3857 :rule trans :premises (@p3856 @p3851)) % 2.52/2.78 (step @p3858 :rule cong :premises (@p3857) :args (@t2687)) % 2.52/2.78 (step @p3859 :rule ho_cong :premises (@p1394 @p3858)) % 2.52/2.78 (step @p3860 :rule trans :premises (@p3859 @p3846)) % 2.52/2.78 (step @p3861 :rule ho_cong :premises (@p1322 @p3860)) % 2.52/2.78 (step @p3862 :rule trans :premises (@p3861 @p3841)) % 2.52/2.78 (step @p3863 :rule ho_cong :premises (@p3831 @p3862)) % 2.52/2.78 (step @p3864 :rule trans :premises (@p3863 @p3836)) % 2.52/2.78 (step @p3865 :rule cong :premises (@p1103 @p3864) :args (@t2705)) % 2.52/2.78 (step @p3866 :rule cong :premises (@p3865) :args (@t2706)) % 2.52/2.78 (step @p3867 :rule refl :args (@t2180)) % 2.52/2.78 (step @p3868 :rule nary_cong :premises (@p3867 @p3866) :args (@t2707)) % 2.52/2.78 (step @p3869 :rule cong :premises (@p3868) :args (@t2708)) % 2.52/2.78 (step @p3870 :rule trans :premises (@p3869 @p3813)) % 2.52/2.78 (step @p3871 :rule cong :premises (@p3870) :args (@t2709)) % 2.52/2.78 (step @p3872 :rule cong :premises (@p3871 @p1196) :args (@t2710)) % 2.52/2.78 (step @p3873 :rule nary_cong :premises (@p3872 @p946) :args (@t2711)) % 2.52/2.78 (step @p3874 :rule refl :args (@t2692)) % 2.52/2.78 (step @p3875 :rule nary_cong :premises (@p3871 @p3874) :args (@t2712)) % 2.52/2.78 (step @p3876 :rule nary_cong :premises (@p3875 @p3873) :args (@t2713)) % 2.52/2.78 (step @p3877 :rule cong :premises (@p3876) :args (@t2714)) % 2.52/2.78 (step @p3878 :rule trans :premises (@p3877 @p3800)) % 2.52/2.78 (step @p3879 :rule ho_cong :premises (@p261 @p3878)) % 2.52/2.78 (step @p3880 :rule beta-reduce :args ((= (_ (lambda @t33 (_ tptp.c_Eps_i (lambda @t30 (or (and @t2717 @t2722) (and (=> @t2717 tptp.c_False) @t635))))) @t2690) (_ tptp.c_Eps_i @t2714)))) % 2.52/2.78 (step @p3881 :rule trans :premises (@p3880 @p3879)) % 2.52/2.78 (step @p3882 :rule beta-reduce :args ((= (_ @t2723 tptp.c_Empty) @t2689))) % 2.52/2.78 (step @p3883 :rule beta-reduce :args ((= @t2724 @t2723))) % 2.52/2.78 (step @p3884 :rule ho_cong :premises (@p3883 @p1473)) % 2.52/2.78 (step @p3885 :rule trans :premises (@p3884 @p3882)) % 2.52/2.78 (step @p3886 :rule ho_cong :premises (@p2860 @p3885)) % 2.52/2.78 (step @p3887 :rule refl :args (@t2716)) % 2.52/2.78 (step @p3888 :rule refl :args ((_ @t25 @t54))) % 2.52/2.78 (step @p3889 :rule cong :premises (@p137) :args (@t2179)) % 2.52/2.78 (step @p3890 :rule trans :premises (@p3889 @p3888)) % 2.52/2.78 (step @p3891 :rule ho_cong :premises (@p3831 @p137)) % 2.52/2.78 (step @p3892 :rule cong :premises (@p3891 @p3890) :args ((= (_ @t25 @t397) @t2179))) % 2.52/2.78 (step @p3893 :rule symm :premises (@p3892)) % 2.52/2.78 (step @p3894 :rule refl :args (@t72)) % 2.52/2.78 (step @p3895 :rule eq_resolve :premises (@p3894 @p3893)) % 2.52/2.78 (step @p3896 :rule ho_cong :premises (@p3831 @p1391)) % 2.52/2.78 (step @p3897 :rule trans :premises (@p3896 @p3895)) % 2.52/2.78 (step @p3898 :rule cong :premises (@p1103 @p3897) :args (@t2725)) % 2.52/2.78 (step @p3899 :rule cong :premises (@p3898) :args (@t2726)) % 2.52/2.78 (step @p3900 :rule nary_cong :premises (@p3899 @p3887) :args (@t2727)) % 2.52/2.78 (step @p3901 :rule cong :premises (@p3900) :args (@t2728)) % 2.52/2.78 (step @p3902 :rule cong :premises (@p3901) :args (@t2729)) % 2.52/2.78 (step @p3903 :rule cong :premises (@p3902 @p1196) :args (@t2730)) % 2.52/2.78 (step @p3904 :rule nary_cong :premises (@p3903 @p946) :args (@t2731)) % 2.52/2.78 (step @p3905 :rule refl :args (@t2722)) % 2.52/2.78 (step @p3906 :rule nary_cong :premises (@p3902 @p3905) :args (@t2732)) % 2.52/2.78 (step @p3907 :rule nary_cong :premises (@p3906 @p3904) :args (@t2733)) % 2.52/2.78 (step @p3908 :rule cong :premises (@p3907) :args (@t2734)) % 2.52/2.78 (step @p3909 :rule ho_cong :premises (@p261 @p3908)) % 2.52/2.78 (step @p3910 :rule cong :premises (@p3909) :args (@t2735)) % 2.52/2.78 (step @p3911 :rule beta-reduce :args ((= @t2738 @t2735))) % 2.52/2.78 (step @p3912 :rule trans :premises (@p3911 @p3910)) % 2.52/2.78 (step @p3913 :rule ho_cong :premises (@p3912 @p3886)) % 2.52/2.78 (step @p3914 :rule trans :premises (@p3913 @p3881)) % 2.52/2.78 (step @p3915 :rule ho_cong :premises (@p2860 @p3914)) % 2.52/2.78 (step @p3916 :rule ho_cong :premises (@p2864 @p3915)) % 2.52/2.78 (step @p3917 :rule cong :premises (@p3916 @p3746) :args (@t2739)) % 2.52/2.78 (step @p3918 :rule cong :premises (@p3917 @p3382) :args (@t2740)) % 2.52/2.78 (step @p3919 :rule ho_cong :premises (@p1526 @p3918)) % 2.52/2.78 (step @p3920 :rule trans :premises (@p3919 @p2874)) % 2.52/2.78 (step @p3921 :rule ho_cong :premises (@p3920 @p2867)) % 2.52/2.78 (step @p3922 :rule trans :premises (@p3921 @p2782)) % 2.52/2.78 (step @p3923 :rule cong :premises (@p3922) :args (@t2741)) % 2.52/2.78 (step @p3924 :rule trans :premises (@p3923 @p2781)) % 2.52/2.78 (step @p3925 :rule ho_cong :premises (@p1231 @p3924)) % 2.52/2.78 (step @p3926 :rule trans :premises (@p3925 @p2056)) % 2.52/2.78 (step @p3927 :rule cong :premises (@p3926) :args ((not (_ @t79 @t2741)))) % 2.52/2.78 (step @p3928 :rule beta-reduce :args ((= (_ @t2746 @t41) @t2215))) % 2.52/2.78 (step @p3929 :rule refl :args (@t41)) % 2.52/2.78 (step @p3930 :rule beta-reduce :args ((= (_ @t2747 @t11) @t2746))) % 2.52/2.78 (step @p3931 :rule ho_cong :premises (@p3930 @p3929)) % 2.52/2.78 (step @p3932 :rule trans :premises (@p3931 @p3928)) % 2.52/2.78 ; trust TRUST_THEORY_REWRITE % 2.52/2.78 (step @p3933 :rule trust :premises () :args ((= (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t2214 (and @t1499 (= @t24 @t238)))))) @t2744))) % 2.52/2.78 (step @p3934 :rule eq-symm :args (@t238 @t24)) % 2.52/2.78 (step @p3935 :rule nary_cong :premises (@p1429 @p3934) :args (@t2748)) % 2.52/2.78 (step @p3936 :rule refl :args (@t2214)) % 2.52/2.78 (step @p3937 :rule nary_cong :premises (@p3936 @p3935) :args (@t2749)) % 2.52/2.78 (step @p3938 :rule cong :premises (@p3937) :args (@t2750)) % 2.52/2.78 (step @p3939 :rule ho_cong :premises (@p261 @p3938)) % 2.52/2.78 (step @p3940 :rule cong :premises (@p3939) :args (@t2751)) % 2.52/2.78 (step @p3941 :rule trans :premises (@p3940 @p3933)) % 2.52/2.78 (step @p3942 :rule ho_cong :premises (@p1437 @p3941)) % 2.52/2.78 (step @p3943 :rule ho_cong :premises (@p1439 @p3942)) % 2.52/2.78 (step @p3944 :rule beta-reduce :args ((= (_ @t2752 @t238) (_ tptp.c_Union (_ @t156 @t2751))))) % 2.52/2.78 (step @p3945 :rule trans :premises (@p3944 @p3943)) % 2.52/2.78 (step @p3946 :rule refl :args (@t238)) % 2.52/2.78 ; trust TRUST_THEORY_REWRITE % 2.52/2.78 (step @p3947 :rule trust :premises () :args ((= (lambda @t33 (_ tptp.c_Union (_ @t156 @t2753))) @t2752))) % 2.52/2.78 ; trust TRUST_THEORY_REWRITE % 2.52/2.78 (step @p3948 :rule trust :premises () :args ((= (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or (and @t154 (= @t24 @t2755)) @t1541)))) @t2753))) % 2.52/2.78 (step @p3949 :rule eq-symm :args (@t2755 @t24)) % 2.52/2.78 (step @p3950 :rule nary_cong :premises (@p1448 @p3949) :args (@t2756)) % 2.52/2.78 (step @p3951 :rule nary_cong :premises (@p3950 @p1446) :args (@t2757)) % 2.52/2.78 (step @p3952 :rule cong :premises (@p3951) :args (@t2758)) % 2.52/2.78 (step @p3953 :rule ho_cong :premises (@p261 @p3952)) % 2.52/2.78 (step @p3954 :rule cong :premises (@p3953) :args (@t2759)) % 2.52/2.78 (step @p3955 :rule trans :premises (@p3954 @p3948)) % 2.52/2.78 (step @p3956 :rule ho_cong :premises (@p1437 @p3955)) % 2.52/2.78 (step @p3957 :rule ho_cong :premises (@p1439 @p3956)) % 2.52/2.78 (step @p3958 :rule cong :premises (@p3957) :args (@t2760)) % 2.52/2.78 (step @p3959 :rule trans :premises (@p3958 @p3947)) % 2.52/2.78 (step @p3960 :rule beta-reduce :args ((= (_ @t1555 @t2755) @t2760))) % 2.52/2.78 (step @p3961 :rule trans :premises (@p3960 @p3959)) % 2.52/2.78 (step @p3962 :rule beta-reduce :args ((= @t2761 @t2754))) % 2.52/2.78 (step @p3963 :rule cong :premises (@p3962) :args ((lambda @t23 @t2761))) % 2.52/2.78 (step @p3964 :rule refl :args (@t32)) % 2.52/2.78 (step @p3965 :rule ho_cong :premises (@p3964 @p3963)) % 2.52/2.78 (step @p3966 :rule ho_cong :premises (@p1462 @p3965)) % 2.52/2.78 (step @p3967 :rule trans :premises (@p3966 @p3961)) % 2.52/2.78 (step @p3968 :rule ho_cong :premises (@p3967 @p3946)) % 2.52/2.78 (step @p3969 :rule trans :premises (@p3968 @p3945)) % 2.52/2.78 (step @p3970 :rule ho_cong :premises (@p73 @p740)) % 2.52/2.78 (step @p3971 :rule cong :premises (@p3970) :args (@t240)) % 2.52/2.78 (step @p3972 :rule ho_cong :premises (@p3964 @p3971)) % 2.52/2.78 (step @p3973 :rule ho_cong :premises (@p1668 @p3972)) % 2.52/2.78 (step @p3974 :rule ho_cong :premises (@p3973 @p3946)) % 2.52/2.78 (step @p3975 :rule trans :premises (@p3974 @p3969)) % 2.52/2.78 (step @p3976 :rule cong :premises (@p3975) :args (@t241)) % 2.52/2.78 (step @p3977 :rule trans :premises (@p75 @p3976)) % 2.52/2.78 (step @p3978 :rule ho_cong :premises (@p3977 @p1475)) % 2.52/2.78 (step @p3979 :rule ho_cong :premises (@p3978 @p3929)) % 2.52/2.78 (step @p3980 :rule trans :premises (@p3979 @p3932)) % 2.52/2.78 (step @p3981 :rule cong :premises (@p3980) :args (@t247)) % 2.52/2.78 (step @p3982 :rule trans :premises (@p78 @p3981)) % 2.52/2.78 (step @p3983 :rule ho_cong :premises (@p3982 @p3315)) % 2.52/2.78 (step @p3984 :rule ho_cong :premises (@p3983 @p1473)) % 2.52/2.78 (step @p3985 :rule ho_cong :premises (@p2828 @p3984)) % 2.52/2.78 (step @p3986 :rule ho_cong :premises (@p3982 @p3985)) % 2.52/2.78 (step @p3987 :rule ho_cong :premises (@p3986 @p2816)) % 2.52/2.78 (step @p3988 :rule ho_cong :premises (@p3982 @p3987)) % 2.52/2.78 (step @p3989 :rule ho_cong :premises (@p3988 @p1473)) % 2.52/2.78 (step @p3990 :rule ho_cong :premises (@p2860 @p3989)) % 2.52/2.78 (step @p3991 :rule ho_cong :premises (@p2860 @p3990)) % 2.52/2.78 (step @p3992 :rule ho_cong :premises (@p2860 @p3991)) % 2.52/2.78 (step @p3993 :rule ho_cong :premises (@p2864 @p3992)) % 2.52/2.78 (step @p3994 :rule ho_cong :premises (@p18 @p3993)) % 2.52/2.78 (step @p3995 :rule aci_norm :args ((= (or @t583 (or @t576 (or @t2306 @t2303))) @t2307))) % 2.52/2.78 (step @p3996 :rule bool-and-de-morgan :args (@t2305 @t2302 true)) % 2.52/2.78 (step @p3997 :rule nary_cong :premises (@p2954 @p3996) :args ((or @t576 (not @t2762)))) % 2.52/2.78 (step @p3998 :rule bool-and-de-morgan :args (@t575 @t2305 (and @t2302))) % 2.52/2.78 (step @p3999 :rule trans :premises (@p3998 @p3997)) % 2.52/2.78 (step @p4000 :rule nary_cong :premises (@p2955 @p3999) :args ((or @t583 (not (and @t575 @t2305 @t2302))))) % 2.52/2.78 (step @p4001 :rule bool-and-de-morgan :args (@t582 @t575 (and @t2305 @t2302))) % 2.52/2.78 (step @p4002 :rule trans :premises (@p4001 @p4000)) % 2.52/2.78 (step @p4003 :rule trans :premises (@p4002 @p3995)) % 2.52/2.78 (step @p4004 :rule cong :premises (@p4003) :args (@t2764)) % 2.52/2.78 (step @p4005 :rule cong :premises (@p4004) :args (@t2765)) % 2.52/2.78 (step @p4006 :rule exists-elim :args ((= (exists @t33 @t2763) @t2765))) % 2.52/2.78 (step @p4007 :rule trans :premises (@p4006 @p4005)) % 2.52/2.78 (step @p4008 :rule aci_norm :args ((= @t2766 @t2763))) % 2.52/2.78 (step @p4009 :rule beta-reduce :args ((= (_ (lambda @t1583 @t2767) @t2762) @t2766))) % 2.52/2.78 (step @p4010 :rule trans :premises (@p4009 @p4008)) % 2.52/2.78 (step @p4011 :rule beta-reduce :args ((= (_ @t2774 @t11) @t2762))) % 2.52/2.78 (step @p4012 :rule beta-reduce :args ((= (_ (lambda (@list @t11 @t2768) (and (forall @t23 (or @t2772 @t2776)) (forall @t23 (or @t2299 @t2773 @t2771)))) @t2) @t2774))) % 2.52/2.78 (step @p4013 :rule alpha_equiv :args (@t2781 @t2782 (@list @t2768))) % 2.52/2.78 (step @p4014 :rule ho_cong :premises (@p4013 @p3679)) % 2.52/2.78 (step @p4015 :rule trans :premises (@p4014 @p4012)) % 2.52/2.78 (step @p4016 :rule ho_cong :premises (@p4015 @p1475)) % 2.52/2.78 (step @p4017 :rule trans :premises (@p4016 @p4011)) % 2.52/2.78 (step @p4018 :rule aci_norm :args ((= (and @t2783 @t1582) @t2767))) % 2.52/2.78 (step @p4019 :rule bool-eq-true :args (@t2783)) % 2.52/2.78 (step @p4020 :rule nary_cong :premises (@p4019 @p1518) :args ((and @t2784 @t1587))) % 2.52/2.78 (step @p4021 :rule trans :premises (@p4020 @p4018)) % 2.52/2.78 (step @p4022 :rule ite-else-false :args (@t2784 @t1587)) % 2.52/2.78 (step @p4023 :rule trans :premises (@p4022 @p4021)) % 2.52/2.78 (step @p4024 :rule cong :premises (@p4023) :args (@t2785)) % 2.52/2.78 (step @p4025 :rule beta-reduce :args ((= (_ @t1591 @t2783) @t2785))) % 2.52/2.78 (step @p4026 :rule trans :premises (@p4025 @p4024)) % 2.52/2.78 (step @p4027 :rule beta-reduce :args ((= (_ (lambda @t18 (and (forall @t581 (or (not (tptp.c_In @t579 @t11)) @t580 @t2639)) (forall @t574 (or (not (tptp.c_In @t568 @t11)) @t573 @t572 @t570)))) @t2) @t2783))) % 2.52/2.78 (step @p4028 :rule alpha_equiv :args (@t2790 @t2782 (@list @t568))) % 2.52/2.78 (step @p4029 :rule alpha_equiv :args (@t2641 @t2782 (@list 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(step @p4228 :rule cong :premises (@p4227 @p4134) :args ((= (_ @t1516 @t1720) @t1721))) % 2.52/2.78 (step @p4229 :rule symm :premises (@p4228)) % 2.52/2.78 (step @p4230 :rule refl :args (@t2846)) % 2.52/2.78 (step @p4231 :rule eq_resolve :premises (@p4230 @p4229)) % 2.52/2.78 (step @p4232 :rule ho_cong :premises (@p174 @p4129)) % 2.52/2.78 (step @p4233 :rule cong :premises (@p4232 @p4131) :args ((= (_ tptp.c_Eps_i @t1718) @t1719))) % 2.52/2.78 (step @p4234 :rule symm :premises (@p4233)) % 2.52/2.78 (step @p4235 :rule refl :args (@t2844)) % 2.52/2.78 (step @p4236 :rule eq_resolve :premises (@p4235 @p4234)) % 2.52/2.78 (step @p4237 :rule ho_cong :premises (@p1329 @p4119)) % 2.52/2.78 (step @p4238 :rule cong :premises (@p4237 @p4121) :args ((= (_ @t1516 @t1712) @t1713))) % 2.52/2.78 (step @p4239 :rule symm :premises (@p4238)) % 2.52/2.78 (step @p4240 :rule refl :args (@t2836)) % 2.52/2.78 (step @p4241 :rule eq_resolve :premises (@p4240 @p4239)) % 2.52/2.78 (step @p4242 :rule ho_cong :premises (@p174 @p4116)) % 2.52/2.78 (step @p4243 :rule cong :premises (@p4242 @p4118) :args ((= (_ tptp.c_Eps_i @t1710) @t1711))) % 2.52/2.78 (step @p4244 :rule symm :premises (@p4243)) % 2.52/2.78 (step @p4245 :rule refl :args (@t2834)) % 2.52/2.78 (step @p4246 :rule eq_resolve :premises (@p4245 @p4244)) % 2.52/2.78 (step @p4247 :rule nary_cong :premises (@p3553 @p4112) :args (@t2830)) % 2.52/2.78 (step @p4248 :rule nary_cong :premises (@p3552 @p4112) :args (@t2831)) % 2.52/2.78 (step @p4249 :rule nary_cong :premises (@p4248 @p4247) :args (@t2832)) % 2.52/2.78 (step @p4250 :rule cong :premises (@p4249) :args (@t2833)) % 2.52/2.78 (step @p4251 :rule ho_cong :premises (@p174 @p4250)) % 2.52/2.78 (step @p4252 :rule trans :premises (@p4251 @p4246)) % 2.52/2.78 (step @p4253 :rule cong :premises (@p4252) :args (@t2835)) % 2.52/2.78 (step @p4254 :rule ho_cong :premises (@p1394 @p4253)) % 2.52/2.78 (step @p4255 :rule trans :premises (@p4254 @p4241)) % 2.52/2.78 (step @p4256 :rule cong :premises (@p4255 @p4109) :args (@t2837)) % 2.52/2.78 (step @p4257 :rule refl :args (@t2838)) % 2.52/2.78 (step @p4258 :rule cong :premises (@p4257 @p4123) :args ((= @t2838 @t516))) % 2.52/2.78 (step @p4259 :rule symm :premises (@p4258)) % 2.52/2.78 (step @p4260 :rule eq_resolve :premises (@p4257 @p4259)) % 2.52/2.78 (step @p4261 :rule cong :premises (@p4260 @p1296) :args (@t2839)) % 2.52/2.78 (step @p4262 :rule nary_cong :premises (@p4261 @p4256) :args (@t2840)) % 2.52/2.78 (step @p4263 :rule nary_cong :premises (@p4260 @p4126) :args (@t2841)) % 2.52/2.78 (step @p4264 :rule nary_cong :premises (@p4263 @p4262) :args (@t2842)) % 2.52/2.78 (step @p4265 :rule cong :premises (@p4264) :args (@t2843)) % 2.52/2.78 (step @p4266 :rule ho_cong :premises (@p174 @p4265)) % 2.52/2.78 (step @p4267 :rule trans :premises (@p4266 @p4236)) % 2.52/2.78 (step @p4268 :rule cong :premises (@p4267) :args (@t2845)) % 2.52/2.78 (step @p4269 :rule ho_cong :premises (@p1394 @p4268)) % 2.52/2.78 (step @p4270 :rule trans :premises (@p4269 @p4231)) % 2.52/2.78 (step @p4271 :rule ho_cong :premises (@p1322 @p4270)) % 2.52/2.79 (step @p4272 :rule trans :premises (@p4271 @p4226)) % 2.52/2.79 (step @p4273 :rule cong :premises (@p4272 @p4105) :args (@t2848)) % 2.52/2.79 (step @p4274 :rule refl :args (@t2849)) % 2.52/2.79 (step @p4275 :rule cong :premises (@p4274 @p4138) :args ((= @t2849 @t525))) % 2.52/2.79 (step @p4276 :rule symm :premises (@p4275)) % 2.52/2.79 (step @p4277 :rule eq_resolve :premises (@p4274 @p4276)) % 2.52/2.79 (step @p4278 :rule cong :premises (@p4277 @p1296) :args (@t2850)) % 2.52/2.79 (step @p4279 :rule nary_cong :premises (@p4278 @p4273) :args (@t2851)) % 2.52/2.79 (step @p4280 :rule nary_cong :premises (@p4277 @p4273) :args (@t2852)) % 2.52/2.79 (step @p4281 :rule nary_cong :premises (@p4280 @p4279) :args (@t2853)) % 2.52/2.79 (step @p4282 :rule cong :premises (@p4281) :args (@t2854)) % 2.52/2.79 (step @p4283 :rule ho_cong :premises (@p174 @p4282)) % 2.52/2.79 (step @p4284 :rule trans :premises (@p4283 @p4221)) % 2.52/2.79 (step @p4285 :rule cong :premises (@p4284) :args (@t2856)) % 2.52/2.79 (step @p4286 :rule ho_cong :premises (@p1394 @p4285)) % 2.52/2.79 (step @p4287 :rule trans :premises (@p4286 @p4216)) % 2.52/2.79 (step @p4288 :rule cong :premises (@p4149 @p4287) :args (@t2858)) % 2.52/2.79 (step @p4289 :rule refl :args (@t2859)) % 2.52/2.79 (step @p4290 :rule cong :premises (@p4289 @p4151) :args ((= @t2859 @t531))) % 2.52/2.79 (step @p4291 :rule symm :premises (@p4290)) % 2.52/2.79 (step @p4292 :rule eq_resolve :premises (@p4289 @p4291)) % 2.52/2.79 (step @p4293 :rule cong :premises (@p4292 @p1296) :args (@t2860)) % 2.52/2.79 (step @p4294 :rule nary_cong :premises (@p4293 @p4288) :args (@t2861)) % 2.52/2.79 (step @p4295 :rule nary_cong :premises (@p4292 @p4288) :args (@t2862)) % 2.52/2.79 (step @p4296 :rule nary_cong :premises (@p4295 @p4294) :args (@t2863)) % 2.52/2.79 (step @p4297 :rule cong :premises (@p4296) :args (@t2864)) % 2.52/2.79 (step @p4298 :rule ho_cong :premises (@p174 @p4297)) % 2.52/2.79 (step @p4299 :rule trans :premises (@p4298 @p4211)) % 2.52/2.79 (step @p4300 :rule cong :premises (@p4299) :args (@t2866)) % 2.52/2.79 (step @p4301 :rule ho_cong :premises (@p1394 @p4300)) % 2.52/2.79 (step @p4302 :rule trans :premises (@p4301 @p4206)) % 2.52/2.79 (step @p4303 :rule cong :premises (@p4162 @p4302) :args (@t2868)) % 2.52/2.79 (step @p4304 :rule refl :args (@t2869)) % 2.52/2.79 (step @p4305 :rule cong :premises (@p4304 @p4164) :args ((= @t2869 @t537))) % 2.52/2.79 (step @p4306 :rule symm :premises (@p4305)) % 2.52/2.79 (step @p4307 :rule eq_resolve :premises (@p4304 @p4306)) % 2.52/2.79 (step @p4308 :rule cong :premises (@p4307 @p1296) :args (@t2870)) % 2.52/2.79 (step @p4309 :rule nary_cong :premises (@p4308 @p4303) :args (@t2871)) % 2.52/2.79 (step @p4310 :rule nary_cong :premises (@p4307 @p4167) :args (@t2872)) % 2.52/2.79 (step @p4311 :rule nary_cong :premises (@p4310 @p4309) :args (@t2873)) % 2.52/2.79 (step @p4312 :rule cong :premises (@p4311) :args (@t2874)) % 2.52/2.79 (step @p4313 :rule ho_cong :premises (@p174 @p4312)) % 2.52/2.79 (step @p4314 :rule trans :premises (@p4313 @p4201)) % 2.52/2.79 (step @p4315 :rule cong :premises (@p4314) :args (@t2876)) % 2.52/2.79 (step @p4316 :rule ho_cong :premises (@p1394 @p4315)) % 2.52/2.79 (step @p4317 :rule trans :premises (@p4316 @p4196)) % 2.52/2.79 (step @p4318 :rule ho_cong :premises (@p1322 @p4317)) % 2.52/2.79 (step @p4319 :rule trans :premises (@p4318 @p4191)) % 2.52/2.79 (step @p4320 :rule ho_cong :premises (@p4180 @p4319)) % 2.52/2.79 (step @p4321 :rule ho_cong :premises (@p4320 @p3679)) % 2.52/2.79 (step @p4322 :rule trans :premises (@p4321 @p4186)) % 2.52/2.79 (step @p4323 :rule cong :premises (@p4322) :args (@t2880)) % 2.52/2.79 (step @p4324 :rule nary_cong :premises (@p4323 @p1296) :args (@t2881)) % 2.52/2.79 (step @p4325 :rule nary_cong :premises (@p4324 @p4096) :args (@t2882)) % 2.52/2.79 (step @p4326 :rule cong :premises (@p4096) :args (@t2883)) % 2.52/2.79 (step @p4327 :rule nary_cong :premises (@p4326 @p1296) :args (@t2884)) % 2.52/2.79 (step @p4328 :rule nary_cong :premises (@p4322 @p4327) :args (@t2885)) % 2.52/2.79 (step @p4329 :rule refl :args (@t2289)) % 2.52/2.79 (step @p4330 :rule refl :args (@t21)) % 2.52/2.79 (step @p4331 :rule cong :premises (@p4330 @p4329) :args ((= @t21 @t2289))) % 2.52/2.79 (step @p4332 :rule symm :premises (@p4331)) % 2.52/2.79 (step @p4333 :rule eq_resolve :premises (@p4330 @p4332)) % 2.52/2.79 (step @p4334 :rule cong :premises (@p4333) :args (@t2886)) % 2.52/2.79 (step @p4335 :rule nary_cong :premises (@p4334 @p4328 @p4325) :args (@t2887)) % 2.52/2.79 (step @p4336 :rule cong :premises (@p4335) :args ((forall @t23 @t2887))) % 2.52/2.79 (step @p4337 :rule aci_norm :args ((= (or @t2886 (or @t2885 @t2882)) @t2887))) % 2.52/2.79 (step @p4338 :rule bool-impl-elim :args (@t2879 tptp.c_False)) % 2.52/2.79 (step @p4339 :rule nary_cong :premises (@p4338 @p4093) :args (@t2889)) % 2.52/2.79 (step @p4340 :rule bool-impl-elim :args (@t43 tptp.c_False)) % 2.52/2.79 (step @p4341 :rule nary_cong :premises (@p4185 @p4340) :args (@t2890)) % 2.52/2.79 (step @p4342 :rule nary_cong :premises (@p4341 @p4339) :args (@t2891)) % 2.52/2.79 (step @p4343 :rule refl :args (@t2886)) % 2.52/2.79 (step @p4344 :rule nary_cong :premises (@p4343 @p4342) :args ((or @t2886 @t2891))) % 2.52/2.79 (step @p4345 :rule trans :premises (@p4344 @p4337)) % 2.52/2.79 (step @p4346 :rule bool-impl-elim :args (@t21 @t2891)) % 2.52/2.79 (step @p4347 :rule trans :premises (@p4346 @p4345)) % 2.52/2.79 (step @p4348 :rule cong :premises (@p4347) :args ((forall @t23 (=> @t21 @t2891)))) % 2.52/2.79 (step @p4349 :rule trans :premises (@p4348 @p4336)) % 2.52/2.79 (step @p4350 :rule beta-reduce :args ((= (_ @t2893 @t43) @t2891))) % 2.52/2.79 (step @p4351 :rule refl :args (@t43)) % 2.52/2.79 (step @p4352 :rule beta-reduce :args ((= (_ @t2897 @t2879) @t2893))) % 2.52/2.79 (step @p4353 :rule beta-reduce :args ((= (_ (lambda @t30 (_ tptp.c_Union (_ @t156 (lambda @t540 (_ tptp.c_Eps_i (lambda @t539 (or (and @t2869 @t2898) @t2871))))))) @t19) @t2878))) % 2.52/2.79 (step @p4354 :rule alpha_equiv :args (@t2900 @t1041 (@list @t536))) % 2.52/2.79 (step @p4355 :rule ho_cong :premises (@p3271 @p4354)) % 2.52/2.79 (step @p4356 :rule ho_cong :premises (@p1322 @p4355)) % 2.52/2.79 (step @p4357 :rule cong :premises (@p4356) :args ((lambda @t30 (_ tptp.c_Union (_ @t156 @t2900))))) % 2.52/2.79 (step @p4358 :rule ho_cong :premises (@p4357 @p2949)) % 2.52/2.79 (step @p4359 :rule trans :premises (@p4358 @p4353)) % 2.52/2.79 (step @p4360 :rule eq-symm :args (@t522 @t2847)) % 2.52/2.79 (step @p4361 :rule refl :args (@t2850)) % 2.52/2.79 (step @p4362 :rule nary_cong :premises (@p4361 @p4360) :args (@t2902)) % 2.52/2.79 (step @p4363 :rule refl :args (@t2849)) % 2.52/2.79 (step @p4364 :rule nary_cong :premises (@p4363 @p4360) :args (@t2903)) % 2.52/2.79 (step @p4365 :rule nary_cong :premises (@p4364 @p4362) :args (@t2904)) % 2.52/2.79 (step @p4366 :rule cong :premises (@p4365) :args (@t2905)) % 2.52/2.79 (step @p4367 :rule ho_cong :premises (@p261 @p4366)) % 2.52/2.79 (step @p4368 :rule cong :premises (@p4367) :args (@t2906)) % 2.52/2.79 (step @p4369 :rule ho_cong :premises (@p1437 @p4368)) % 2.52/2.79 (step @p4370 :rule cong :premises (@p776 @p4369) :args (@t2907)) % 2.52/2.79 (step @p4371 :rule refl :args (@t2860)) % 2.52/2.79 (step @p4372 :rule nary_cong :premises (@p4371 @p4370) :args (@t2908)) % 2.52/2.79 (step @p4373 :rule refl :args (@t2859)) % 2.52/2.79 (step @p4374 :rule nary_cong :premises (@p4373 @p4370) :args (@t2909)) % 2.52/2.79 (step @p4375 :rule nary_cong :premises (@p4374 @p4372) :args (@t2910)) % 2.52/2.79 (step @p4376 :rule cong :premises (@p4375) :args (@t2911)) % 2.52/2.79 (step @p4377 :rule ho_cong :premises (@p261 @p4376)) % 2.52/2.79 (step @p4378 :rule cong :premises (@p4377) :args (@t2912)) % 2.52/2.79 (step @p4379 :rule ho_cong :premises (@p1437 @p4378)) % 2.52/2.79 (step @p4380 :rule cong :premises (@p787 @p4379) :args (@t2913)) % 2.52/2.79 (step @p4381 :rule nary_cong :premises (@p1429 @p4380) :args (@t2914)) % 2.52/2.79 (step @p4382 :rule refl :args (@t2899)) % 2.52/2.79 (step @p4383 :rule nary_cong :premises (@p4382 @p4381) :args (@t2915)) % 2.52/2.79 (step @p4384 :rule cong :premises (@p4383) :args (@t2916)) % 2.52/2.79 (step @p4385 :rule ho_cong :premises (@p261 @p4384)) % 2.52/2.79 (step @p4386 :rule cong :premises (@p4385) :args (@t2917)) % 2.52/2.79 (step @p4387 :rule ho_cong :premises (@p1437 @p4386)) % 2.52/2.79 (step @p4388 :rule ho_cong :premises (@p1439 @p4387)) % 2.52/2.79 (step @p4389 :rule cong :premises (@p4388) :args (@t2918)) % 2.52/2.79 ; trust TRUST_THEORY_REWRITE % 2.52/2.79 (step @p4390 :rule trust :premises () :args ((= (lambda @t30 (_ tptp.c_Union (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t539 (or @t2899 (and @t1499 (= @t535 @t2921))))))))) @t2918))) % 2.52/2.79 (step @p4391 :rule trans :premises (@p4390 @p4389)) % 2.52/2.79 (step @p4392 :rule eq-symm :args (@t2921 @t535)) % 2.52/2.79 (step @p4393 :rule nary_cong :premises (@p1429 @p4392) :args (@t2922)) % 2.52/2.79 (step @p4394 :rule nary_cong :premises (@p4382 @p4393) :args (@t2923)) % 2.52/2.79 (step @p4395 :rule cong :premises (@p4394) :args (@t2924)) % 2.52/2.79 (step @p4396 :rule ho_cong :premises (@p261 @p4395)) % 2.52/2.79 (step @p4397 :rule cong :premises (@p4396) :args (@t2925)) % 2.52/2.79 ; trust TRUST_THEORY_REWRITE % 2.52/2.79 (step @p4398 :rule trust :premises () :args ((= (lambda @t23 (_ tptp.c_Eps_i (lambda @t539 (or @t2899 (and @t1499 (= @t2929 @t535)))))) @t2925))) % 2.52/2.79 (step @p4399 :rule trans :premises (@p4398 @p4397)) % 2.52/2.79 (step @p4400 :rule eq-symm :args (@t2927 @t528)) % 2.52/2.79 (step @p4401 :rule nary_cong :premises (@p4371 @p4400) :args (@t2931)) % 2.52/2.79 (step @p4402 :rule nary_cong :premises (@p4373 @p4400) :args (@t2932)) % 2.52/2.79 (step @p4403 :rule nary_cong :premises (@p4402 @p4401) :args (@t2933)) % 2.52/2.79 (step @p4404 :rule cong :premises (@p4403) :args (@t2934)) % 2.52/2.79 (step @p4405 :rule ho_cong :premises (@p261 @p4404)) % 2.52/2.79 (step @p4406 :rule cong :premises (@p4405) :args (@t2935)) % 2.52/2.79 (step @p4407 :rule ho_cong :premises (@p1437 @p4406)) % 2.52/2.79 (step @p4408 :rule cong :premises (@p4407 @p787) :args (@t2937)) % 2.52/2.79 (step @p4409 :rule nary_cong :premises (@p1429 @p4408) :args (@t2938)) % 2.52/2.79 (step @p4410 :rule nary_cong :premises (@p4382 @p4409) :args (@t2939)) % 2.52/2.79 (step @p4411 :rule cong :premises (@p4410) :args (@t2940)) % 2.52/2.79 (step @p4412 :rule ho_cong :premises (@p261 @p4411)) % 2.52/2.79 (step @p4413 :rule cong :premises (@p4412) :args (@t2941)) % 2.52/2.79 (step @p4414 :rule trans :premises (@p4413 @p4399)) % 2.52/2.79 (step @p4415 :rule ho_cong :premises (@p1437 @p4414)) % 2.52/2.79 (step @p4416 :rule ho_cong :premises (@p1439 @p4415)) % 2.52/2.79 (step @p4417 :rule beta-reduce :args ((= (_ @t2945 @t2927) (_ tptp.c_Union (_ @t156 @t2941))))) % 2.52/2.79 (step @p4418 :rule trans :premises (@p4417 @p4416)) % 2.52/2.79 ; trust TRUST_THEORY_REWRITE % 2.52/2.79 (step @p4419 :rule trust :premises () :args ((= (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or (and @t154 @t2947) (and @t1499 @t2947))))) @t2926))) % 2.52/2.79 (step @p4420 :rule eq-symm :args (@t514 @t2836)) % 2.52/2.79 (step @p4421 :rule nary_cong :premises (@p1429 @p4420) :args (@t2948)) % 2.52/2.79 (step @p4422 :rule refl :args (@t2946)) % 2.52/2.79 (step @p4423 :rule nary_cong :premises (@p4422 @p4421) :args (@t2949)) % 2.52/2.79 (step @p4424 :rule cong :premises (@p4423) :args (@t2950)) % 2.52/2.79 (step @p4425 :rule ho_cong :premises (@p261 @p4424)) % 2.52/2.79 (step @p4426 :rule cong :premises (@p4425) :args (@t2951)) % 2.52/2.79 (step @p4427 :rule ho_cong :premises (@p1437 @p4426)) % 2.52/2.79 (step @p4428 :rule ho_cong :premises (@p1439 @p4427)) % 2.52/2.79 (step @p4429 :rule cong :premises (@p266 @p4428) :args (@t2952)) % 2.52/2.79 (step @p4430 :rule nary_cong :premises (@p1429 @p4429) :args (@t2953)) % 2.52/2.79 (step @p4431 :rule nary_cong :premises (@p1448 @p4429) :args (@t2954)) % 2.52/2.79 (step @p4432 :rule nary_cong :premises (@p4431 @p4430) :args (@t2955)) % 2.52/2.79 (step @p4433 :rule cong :premises (@p4432) :args (@t2956)) % 2.52/2.79 ; trust TRUST_THEORY_REWRITE % 2.52/2.79 (step @p4434 :rule trust :premises () :args ((= (lambda @t30 (or (and @t154 @t2958) (and @t1499 @t2958))) @t2956))) % 2.52/2.79 (step @p4435 :rule trans :premises (@p4434 @p4433)) % 2.52/2.79 (step @p4436 :rule eq-symm :args (@t2957 @t24)) % 2.52/2.79 (step @p4437 :rule nary_cong :premises (@p1429 @p4436) :args (@t2960)) % 2.52/2.79 (step @p4438 :rule nary_cong :premises (@p1448 @p4436) :args (@t2961)) % 2.52/2.79 (step @p4439 :rule nary_cong :premises (@p4438 @p4437) :args (@t2962)) % 2.52/2.79 (step @p4440 :rule cong :premises (@p4439) :args (@t2963)) % 2.52/2.79 (step @p4441 :rule trans :premises (@p4440 @p4435)) % 2.52/2.79 (step @p4442 :rule ho_cong :premises (@p261 @p4441)) % 2.52/2.79 (step @p4443 :rule cong :premises (@p4442) :args (@t2964)) % 2.52/2.79 (step @p4444 :rule trans :premises (@p4443 @p4419)) % 2.52/2.79 (step @p4445 :rule ho_cong :premises (@p1437 @p4444)) % 2.52/2.79 (step @p4446 :rule beta-reduce :args ((= (_ @t1557 @t2957) (_ @t156 @t2964)))) % 2.52/2.79 (step @p4447 :rule trans :premises (@p4446 @p4445)) % 2.52/2.79 (step @p4448 :rule beta-reduce :args ((= @t2965 @t2957))) % 2.52/2.79 (step @p4449 :rule refl :args (@t1557)) % 2.52/2.79 (step @p4450 :rule ho_cong :premises (@p4449 @p4448)) % 2.52/2.79 (step @p4451 :rule trans :premises (@p4450 @p4447)) % 2.52/2.79 (step @p4452 :rule beta-reduce :args ((= (_ (lambda @t16 (_ tptp.c_Union (_ @t156 (lambda @t23 (_ tptp.c_Eps_i (lambda @t539 (or @t2966 @t2944))))))) @t24) @t2945))) % 2.52/2.79 (step @p4453 :rule eq-symm :args (@t535 @t2943)) % 2.52/2.79 (step @p4454 :rule nary_cong :premises (@p1429 @p4453) :args (@t2967)) % 2.52/2.79 (step @p4455 :rule refl :args (@t2966)) % 2.52/2.79 (step @p4456 :rule nary_cong :premises (@p4455 @p4454) :args (@t2968)) % 2.52/2.79 (step @p4457 :rule cong :premises (@p4456) :args (@t2969)) % 2.52/2.79 (step @p4458 :rule ho_cong :premises (@p261 @p4457)) % 2.52/2.79 (step @p4459 :rule cong :premises (@p4458) :args (@t2970)) % 2.52/2.79 (step @p4460 :rule ho_cong :premises (@p1437 @p4459)) % 2.52/2.79 (step @p4461 :rule ho_cong :premises (@p1439 @p4460)) % 2.52/2.79 (step @p4462 :rule cong :premises (@p4461) :args ((lambda @t16 (_ tptp.c_Union (_ @t156 @t2970))))) % 2.52/2.79 (step @p4463 :rule ho_cong :premises (@p4462 @p266)) % 2.52/2.79 (step @p4464 :rule trans :premises (@p4463 @p4452)) % 2.52/2.79 (step @p4465 :rule alpha_equiv :args (@t2972 @t2415 (@list @t535))) % 2.52/2.79 (step @p4466 :rule ho_cong :premises (@p174 @p4465)) % 2.52/2.79 (step @p4467 :rule cong :premises (@p4466) :args (@t2973)) % 2.52/2.79 (step @p4468 :rule ho_cong :premises (@p3271 @p4467)) % 2.52/2.79 (step @p4469 :rule ho_cong :premises (@p1322 @p4468)) % 2.52/2.79 (step @p4470 :rule cong :premises (@p4469) :args (@t2974)) % 2.52/2.79 (step @p4471 :rule ho_cong :premises (@p4470 @p183)) % 2.52/2.79 (step @p4472 :rule trans :premises (@p4471 @p4464)) % 2.52/2.79 (step @p4473 :rule ho_cong :premises (@p4472 @p4451)) % 2.52/2.79 (step @p4474 :rule trans :premises (@p4473 @p4418)) % 2.52/2.79 (step @p4475 :rule cong :premises (@p4474) :args (@t2976)) % 2.52/2.79 (step @p4476 :rule trans :premises (@p4475 @p4391)) % 2.52/2.79 (step @p4477 :rule ho_cong :premises (@p4476 @p740)) % 2.52/2.79 (step @p4478 :rule trans :premises (@p4477 @p4359)) % 2.52/2.79 (step @p4479 :rule refl :args (tptp.c_In)) % 2.52/2.79 (step @p4480 :rule ho_cong :premises (@p4479 @p4478)) % 2.52/2.79 (step @p4481 :rule ho_cong :premises (@p4480 @p840)) % 2.52/2.79 (step @p4482 :rule refl :args (@t2897)) % 2.52/2.79 (step @p4483 :rule ho_cong :premises (@p4482 @p4481)) % 2.52/2.79 (step @p4484 :rule trans :premises (@p4483 @p4352)) % 2.52/2.79 (step @p4485 :rule ho_cong :premises (@p4484 @p4351)) % 2.52/2.79 (step @p4486 :rule trans :premises (@p4485 @p4350)) % 2.52/2.79 (step @p4487 :rule refl :args (@t21)) % 2.52/2.79 (step @p4488 :rule cong :premises (@p4487 @p4486) :args (@t2977)) % 2.52/2.79 (step @p4489 :rule cong :premises (@p4488) :args ((forall @t23 @t2977))) % 2.52/2.79 (step @p4490 :rule trans :premises (@p4489 @p4349)) % 2.52/2.79 (step @p4491 :rule bool-eq-true :args (@t2828)) % 2.52/2.79 (step @p4492 :rule nary_cong :premises (@p4491 @p1518) :args ((and @t2978 @t1587))) % 2.52/2.79 (step @p4493 :rule ite-else-false :args (@t2978 @t1587)) % 2.52/2.79 (step @p4494 :rule trans :premises (@p4493 @p4492)) % 2.52/2.79 (step @p4495 :rule cong :premises (@p4494) :args (@t2979)) % 2.52/2.79 (step @p4496 :rule beta-reduce :args ((= (_ @t1591 @t2828) @t2979))) % 2.52/2.79 (step @p4497 :rule trans :premises (@p4496 @p4495)) % 2.52/2.79 (step @p4498 :rule eq-symm :args (@t1775 @t552)) % 2.52/2.79 (step @p4499 :rule eq-symm :args (@t1722 @t545)) % 2.52/2.79 (step @p4500 :rule refl :args (@t1760)) % 2.52/2.79 (step @p4501 :rule nary_cong :premises (@p4500 @p4499) :args (@t2981)) % 2.52/2.79 (step @p4502 :rule nary_cong :premises (@p813 @p4499) :args (@t2982)) % 2.52/2.79 (step @p4503 :rule nary_cong :premises (@p4502 @p4501) :args (@t2983)) % 2.52/2.79 (step @p4504 :rule cong :premises (@p4503) :args (@t2984)) % 2.52/2.79 (step @p4505 :rule cong :premises (@p4504) :args (@t2985)) % 2.52/2.79 (step @p4506 :rule cong :premises (@p4505) :args (@t2986)) % 2.52/2.79 (step @p4507 :rule cong :premises (@p249 @p4506) :args (@t2987)) % 2.52/2.79 (step @p4508 :rule cong :premises (@p776 @p4507) :args (@t2988)) % 2.52/2.79 (step @p4509 :rule refl :args (@t1733)) % 2.52/2.79 (step @p4510 :rule nary_cong :premises (@p4509 @p4508) :args (@t2989)) % 2.52/2.79 (step @p4511 :rule nary_cong :premises (@p780 @p4508) :args (@t2990)) % 2.52/2.79 (step @p4512 :rule nary_cong :premises (@p4511 @p4510) :args (@t2991)) % 2.52/2.79 (step @p4513 :rule cong :premises (@p4512) :args (@t2992)) % 2.52/2.79 (step @p4514 :rule cong :premises (@p4513) :args (@t2993)) % 2.52/2.79 (step @p4515 :rule cong :premises (@p4514) :args (@t2994)) % 2.52/2.79 (step @p4516 :rule cong :premises (@p249 @p4515) :args (@t2995)) % 2.52/2.79 (step @p4517 :rule cong :premises (@p4516 @p828) :args (@t2996)) % 2.52/2.79 (step @p4518 :rule trans :premises (@p4517 @p4498)) % 2.52/2.79 (step @p4519 :rule refl :args (@t1777)) % 2.52/2.79 (step @p4520 :rule nary_cong :premises (@p4519 @p4518) :args (@t2997)) % 2.52/2.79 (step @p4521 :rule refl :args (@t2815)) % 2.52/2.79 (step @p4522 :rule nary_cong :premises (@p4521 @p4520) :args (@t2998)) % 2.52/2.79 (step @p4523 :rule cong :premises (@p4522) :args (@t2999)) % 2.52/2.79 (step @p4524 :rule cong :premises (@p4523) :args (@t3000)) % 2.52/2.79 (step @p4525 :rule cong :premises (@p4524) :args (@t3001)) % 2.52/2.79 (step @p4526 :rule cong :premises (@p249 @p4525) :args (@t3002)) % 2.52/2.79 (step @p4527 :rule cong :premises (@p4526) :args (@t3003)) % 2.52/2.79 (step @p4528 :rule cong :premises (@p4527) :args (@t3004)) % 2.52/2.79 (step @p4529 :rule cong :premises (@p1475 @p4528) :args (@t3005)) % 2.52/2.79 (step @p4530 :rule cong :premises (@p266 @p4529) :args (@t3006)) % 2.52/2.79 (step @p4531 :rule nary_cong :premises (@p4055 @p4530) :args (@t3007)) % 2.52/2.79 (step @p4532 :rule nary_cong :premises (@p4057 @p4531) :args (@t3008)) % 2.52/2.79 (step @p4533 :rule cong :premises (@p4532) :args (@t3009)) % 2.52/2.79 (step @p4534 :rule cong :premises (@p4533) :args (@t3010)) % 2.52/2.79 (step @p4535 :rule cong :premises (@p4534) :args (@t3011)) % 2.52/2.79 (step @p4536 :rule cong :premises (@p249 @p4535) :args (@t3012)) % 2.52/2.79 (step @p4537 :rule cong :premises (@p4536) :args (@t3013)) % 2.52/2.79 (step @p4538 :rule cong :premises (@p740 @p4537) :args (@t3014)) % 2.52/2.79 (step @p4539 :rule nary_cong :premises (@p3595 @p4538) :args (@t3015)) % 2.52/2.79 (step @p4540 :rule cong :premises (@p4539) :args ((forall @t23 @t3015))) % 2.52/2.79 (step @p4541 :rule refl :args ((tptp.c_Union @t3056))) % 2.52/2.79 (step @p4542 :rule refl :args ((tptp.c_Repl @t55 @t3055))) % 2.52/2.79 (step @p4543 :rule refl :args ((tptp.c_Eps_i @t3053))) % 2.52/2.79 (step @p4544 :rule refl :args ((tptp.c_Repl @t11 @t3045))) % 2.52/2.79 (step @p4545 :rule refl :args ((tptp.c_Union @t3043))) % 2.52/2.79 (step @p4546 :rule refl :args ((tptp.c_Repl @t55 @t3042))) % 2.52/2.79 (step @p4547 :rule refl :args ((tptp.c_Eps_i @t3040))) % 2.52/2.79 (step @p4548 :rule refl :args (@t552)) % 2.52/2.79 (step @p4549 :rule refl :args ((tptp.c_Repl @t55 @t3032))) % 2.52/2.79 (step @p4550 :rule refl :args ((tptp.c_Eps_i @t3030))) % 2.52/2.79 (step @p4551 :rule refl :args ((tptp.c_Repl @t55 @t3024))) % 2.52/2.79 (step @p4552 :rule refl :args ((tptp.c_Eps_i @t3022))) % 2.52/2.79 (step @p4553 :rule refl :args (@t545)) % 2.52/2.79 (step @p4554 :rule cong :premises (@p4136 @p4553) :args (@t2980)) % 2.52/2.79 (step @p4555 :rule refl :args (@t548)) % 2.52/2.79 (step @p4556 :rule cong :premises (@p4555 @p1296) :args (@t1760)) % 2.52/2.79 (step @p4557 :rule nary_cong :premises (@p4556 @p4554) :args (@t2981)) % 2.52/2.79 (step @p4558 :rule nary_cong :premises (@p4555 @p4554) :args (@t2982)) % 2.52/2.79 (step @p4559 :rule nary_cong :premises (@p4558 @p4557) :args (@t2983)) % 2.52/2.79 (step @p4560 :rule cong :premises (@p4559) :args (@t2984)) % 2.52/2.79 (step @p4561 :rule cong :premises (@p4560) :args (@t2985)) % 2.52/2.79 (step @p4562 :rule trans :premises (@p4561 @p4552)) % 2.52/2.79 (step @p4563 :rule cong :premises (@p4562) :args (@t2986)) % 2.52/2.79 (step @p4564 :rule cong :premises (@p139 @p4563) :args (@t2987)) % 2.52/2.79 (step @p4565 :rule trans :premises (@p4564 @p4551)) % 2.52/2.79 (step @p4566 :rule cong :premises (@p4149 @p4565) :args (@t2988)) % 2.52/2.79 (step @p4567 :rule nary_cong :premises (@p4152 @p4566) :args (@t2989)) % 2.52/2.79 (step @p4568 :rule nary_cong :premises (@p4151 @p4566) :args (@t2990)) % 2.52/2.79 (step @p4569 :rule nary_cong :premises (@p4568 @p4567) :args (@t2991)) % 2.52/2.79 (step @p4570 :rule cong :premises (@p4569) :args (@t2992)) % 2.52/2.79 (step @p4571 :rule cong :premises (@p4570) :args (@t2993)) % 2.52/2.79 (step @p4572 :rule trans :premises (@p4571 @p4550)) % 2.52/2.79 (step @p4573 :rule cong :premises (@p4572) :args (@t2994)) % 2.52/2.79 (step @p4574 :rule cong :premises (@p139 @p4573) :args (@t2995)) % 2.52/2.79 (step @p4575 :rule trans :premises (@p4574 @p4549)) % 2.52/2.79 (step @p4576 :rule cong :premises (@p4575 @p4548) :args (@t2996)) % 2.52/2.79 (step @p4577 :rule refl :args (@t554)) % 2.52/2.79 (step @p4578 :rule cong :premises (@p4577 @p1296) :args (@t1777)) % 2.52/2.79 (step @p4579 :rule nary_cong :premises (@p4578 @p4576) :args (@t2997)) % 2.52/2.79 (step @p4580 :rule refl :args (@t2814)) % 2.52/2.79 (step @p4581 :rule nary_cong :premises (@p4577 @p4580) :args (@t2815)) % 2.52/2.79 (step @p4582 :rule nary_cong :premises (@p4581 @p4579) :args (@t2998)) % 2.52/2.79 (step @p4583 :rule cong :premises (@p4582) :args (@t2999)) % 2.52/2.79 (step @p4584 :rule cong :premises (@p4583) :args (@t3000)) % 2.52/2.79 (step @p4585 :rule trans :premises (@p4584 @p4547)) % 2.52/2.79 (step @p4586 :rule cong :premises (@p4585) :args (@t3001)) % 2.52/2.79 (step @p4587 :rule cong :premises (@p139 @p4586) :args (@t3002)) % 2.52/2.79 (step @p4588 :rule trans :premises (@p4587 @p4546)) % 2.52/2.79 (step @p4589 :rule cong :premises (@p4588) :args (@t3003)) % 2.52/2.79 (step @p4590 :rule trans :premises (@p4589 @p4545)) % 2.52/2.79 (step @p4591 :rule cong :premises (@p4590) :args (@t3004)) % 2.52/2.79 (step @p4592 :rule cong :premises (@p4073 @p4591) :args (@t3005)) % 2.52/2.79 (step @p4593 :rule trans :premises (@p4592 @p4544)) % 2.52/2.79 (step @p4594 :rule cong :premises (@p183 @p4593) :args (@t3006)) % 2.52/2.79 (step @p4595 :rule refl :args (@t561)) % 2.52/2.79 (step @p4596 :rule cong :premises (@p4595 @p1296) :args (@t1788)) % 2.52/2.79 (step @p4597 :rule nary_cong :premises (@p4596 @p4594) :args (@t3007)) % 2.52/2.79 (step @p4598 :rule refl :args (@t1551)) % 2.52/2.79 (step @p4599 :rule nary_cong :premises (@p4595 @p4598) :args (@t2775)) % 2.52/2.79 (step @p4600 :rule nary_cong :premises (@p4599 @p4597) :args (@t3008)) % 2.52/2.79 (step @p4601 :rule cong :premises (@p4600) :args (@t3009)) % 2.52/2.79 (step @p4602 :rule cong :premises (@p4601) :args (@t3010)) % 2.52/2.79 (step @p4603 :rule trans :premises (@p4602 @p4543)) % 2.52/2.79 (step @p4604 :rule cong :premises (@p4603) :args (@t3011)) % 2.52/2.79 (step @p4605 :rule cong :premises (@p139 @p4604) :args (@t3012)) % 2.52/2.79 (step @p4606 :rule trans :premises (@p4605 @p4542)) % 2.52/2.79 (step @p4607 :rule cong :premises (@p4606) :args (@t3013)) % 2.52/2.79 (step @p4608 :rule trans :premises (@p4607 @p4541)) % 2.52/2.79 (step @p4609 :rule ho_cong :premises (@p1322 @p4606)) % 2.52/2.79 (step @p4610 :rule cong :premises (@p4609 @p4608) :args ((= (_ tptp.c_Union @t3012) @t3013))) % 2.52/2.79 (step @p4611 :rule symm :premises (@p4610)) % 2.52/2.79 (step @p4612 :rule refl :args (@t3057)) % 2.52/2.79 (step @p4613 :rule eq_resolve :premises (@p4612 @p4611)) % 2.52/2.79 (step @p4614 :rule ho_cong :premises (@p1329 @p4604)) % 2.52/2.79 (step @p4615 :rule cong :premises (@p4614 @p4606) :args ((= (_ @t1516 @t3011) @t3012))) % 2.52/2.79 (step @p4616 :rule symm :premises (@p4615)) % 2.52/2.79 (step @p4617 :rule refl :args (@t3056)) % 2.52/2.79 (step @p4618 :rule eq_resolve :premises (@p4617 @p4616)) % 2.52/2.79 (step @p4619 :rule ho_cong :premises (@p174 @p4601)) % 2.52/2.79 (step @p4620 :rule cong :premises (@p4619 @p4603) :args ((= (_ tptp.c_Eps_i @t3009) @t3010))) % 2.52/2.79 (step @p4621 :rule symm :premises (@p4620)) % 2.52/2.79 (step @p4622 :rule refl :args (@t3054)) % 2.52/2.79 (step @p4623 :rule eq_resolve :premises (@p4622 @p4621)) % 2.52/2.79 (step @p4624 :rule ho_cong :premises (@p3323 @p4591)) % 2.52/2.79 (step @p4625 :rule cong :premises (@p4624 @p4593) :args ((= (_ @t32 @t3004) @t3005))) % 2.52/2.79 (step @p4626 :rule symm :premises (@p4625)) % 2.52/2.79 (step @p4627 :rule refl :args (@t3046)) % 2.52/2.79 (step @p4628 :rule eq_resolve :premises (@p4627 @p4626)) % 2.52/2.79 (step @p4629 :rule ho_cong :premises (@p1322 @p4588)) % 2.52/2.79 (step @p4630 :rule cong :premises (@p4629 @p4590) :args ((= (_ tptp.c_Union @t3002) @t3003))) % 2.52/2.79 (step @p4631 :rule symm :premises (@p4630)) % 2.52/2.79 (step @p4632 :rule refl :args (@t3044)) % 2.52/2.79 (step @p4633 :rule eq_resolve :premises (@p4632 @p4631)) % 2.52/2.79 (step @p4634 :rule ho_cong :premises (@p1329 @p4586)) % 2.52/2.79 (step @p4635 :rule cong :premises (@p4634 @p4588) :args ((= (_ @t1516 @t3001) @t3002))) % 2.52/2.79 (step @p4636 :rule symm :premises (@p4635)) % 2.52/2.79 (step @p4637 :rule refl :args (@t3043)) % 2.52/2.79 (step @p4638 :rule eq_resolve :premises (@p4637 @p4636)) % 2.52/2.79 (step @p4639 :rule ho_cong :premises (@p174 @p4583)) % 2.52/2.79 (step @p4640 :rule cong :premises (@p4639 @p4585) :args ((= (_ tptp.c_Eps_i @t2999) @t3000))) % 2.52/2.79 (step @p4641 :rule symm :premises (@p4640)) % 2.52/2.79 (step @p4642 :rule refl :args (@t3041)) % 2.52/2.79 (step @p4643 :rule eq_resolve :premises (@p4642 @p4641)) % 2.52/2.79 (step @p4644 :rule ho_cong :premises (@p1329 @p4573)) % 2.52/2.79 (step @p4645 :rule cong :premises (@p4644 @p4575) :args ((= (_ @t1516 @t2994) @t2995))) % 2.52/2.79 (step @p4646 :rule symm :premises (@p4645)) % 2.52/2.79 (step @p4647 :rule refl :args (@t3033)) % 2.52/2.79 (step @p4648 :rule eq_resolve :premises (@p4647 @p4646)) % 2.52/2.79 (step @p4649 :rule ho_cong :premises (@p174 @p4570)) % 2.52/2.79 (step @p4650 :rule cong :premises (@p4649 @p4572) :args ((= (_ tptp.c_Eps_i @t2992) @t2993))) % 2.52/2.79 (step @p4651 :rule symm :premises (@p4650)) % 2.52/2.79 (step @p4652 :rule refl :args (@t3031)) % 2.52/2.79 (step @p4653 :rule eq_resolve :premises (@p4652 @p4651)) % 2.52/2.79 (step @p4654 :rule ho_cong :premises (@p1329 @p4563)) % 2.52/2.79 (step @p4655 :rule cong :premises (@p4654 @p4565) :args ((= (_ @t1516 @t2986) @t2987))) % 2.52/2.79 (step @p4656 :rule symm :premises (@p4655)) % 2.52/2.79 (step @p4657 :rule refl :args (@t3025)) % 2.52/2.79 (step @p4658 :rule eq_resolve :premises (@p4657 @p4656)) % 2.52/2.79 (step @p4659 :rule ho_cong :premises (@p174 @p4560)) % 2.52/2.79 (step @p4660 :rule cong :premises (@p4659 @p4562) :args ((= (_ tptp.c_Eps_i @t2984) @t2985))) % 2.52/2.79 (step @p4661 :rule symm :premises (@p4660)) % 2.52/2.79 (step @p4662 :rule refl :args (@t3023)) % 2.52/2.79 (step @p4663 :rule eq_resolve :premises (@p4662 @p4661)) % 2.52/2.79 (step @p4664 :rule cong :premises (@p4272 @p4553) :args (@t3016)) % 2.52/2.79 (step @p4665 :rule refl :args (@t3017)) % 2.52/2.79 (step @p4666 :rule cong :premises (@p4665 @p4555) :args ((= @t3017 @t548))) % 2.52/2.79 (step @p4667 :rule symm :premises (@p4666)) % 2.52/2.79 (step @p4668 :rule eq_resolve :premises (@p4665 @p4667)) % 2.52/2.79 (step @p4669 :rule cong :premises (@p4668 @p1296) :args (@t3018)) % 2.52/2.79 (step @p4670 :rule nary_cong :premises (@p4669 @p4664) :args (@t3019)) % 2.52/2.79 (step @p4671 :rule nary_cong :premises (@p4668 @p4664) :args (@t3020)) % 2.52/2.79 (step @p4672 :rule nary_cong :premises (@p4671 @p4670) :args (@t3021)) % 2.52/2.79 (step @p4673 :rule cong :premises (@p4672) :args (@t3022)) % 2.52/2.79 (step @p4674 :rule ho_cong :premises (@p174 @p4673)) % 2.52/2.79 (step @p4675 :rule trans :premises (@p4674 @p4663)) % 2.52/2.79 (step @p4676 :rule cong :premises (@p4675) :args (@t3024)) % 2.52/2.79 (step @p4677 :rule ho_cong :premises (@p1394 @p4676)) % 2.52/2.79 (step @p4678 :rule trans :premises (@p4677 @p4658)) % 2.52/2.79 (step @p4679 :rule cong :premises (@p4149 @p4678) :args (@t3026)) % 2.52/2.79 (step @p4680 :rule nary_cong :premises (@p4293 @p4679) :args (@t3027)) % 2.52/2.79 (step @p4681 :rule nary_cong :premises (@p4292 @p4679) :args (@t3028)) % 2.52/2.79 (step @p4682 :rule nary_cong :premises (@p4681 @p4680) :args (@t3029)) % 2.52/2.79 (step @p4683 :rule cong :premises (@p4682) :args (@t3030)) % 2.52/2.79 (step @p4684 :rule ho_cong :premises (@p174 @p4683)) % 2.52/2.79 (step @p4685 :rule trans :premises (@p4684 @p4653)) % 2.52/2.79 (step @p4686 :rule cong :premises (@p4685) :args (@t3032)) % 2.52/2.79 (step @p4687 :rule ho_cong :premises (@p1394 @p4686)) % 2.52/2.79 (step @p4688 :rule trans :premises (@p4687 @p4648)) % 2.52/2.79 (step @p4689 :rule cong :premises (@p4688 @p4548) :args (@t3034)) % 2.52/2.79 (step @p4690 :rule refl :args (@t3035)) % 2.52/2.79 (step @p4691 :rule cong :premises (@p4690 @p4577) :args ((= @t3035 @t554))) % 2.52/2.79 (step @p4692 :rule symm :premises (@p4691)) % 2.52/2.79 (step @p4693 :rule eq_resolve :premises (@p4690 @p4692)) % 2.52/2.79 (step @p4694 :rule cong :premises (@p4693 @p1296) :args (@t3036)) % 2.52/2.79 (step @p4695 :rule nary_cong :premises (@p4694 @p4689) :args (@t3037)) % 2.52/2.79 (step @p4696 :rule nary_cong :premises (@p4693 @p4580) :args (@t3038)) % 2.52/2.79 (step @p4697 :rule nary_cong :premises (@p4696 @p4695) :args (@t3039)) % 2.52/2.79 (step @p4698 :rule cong :premises (@p4697) :args (@t3040)) % 2.52/2.79 (step @p4699 :rule ho_cong :premises (@p174 @p4698)) % 2.52/2.79 (step @p4700 :rule trans :premises (@p4699 @p4643)) % 2.52/2.79 (step @p4701 :rule cong :premises (@p4700) :args (@t3042)) % 2.52/2.79 (step @p4702 :rule ho_cong :premises (@p1394 @p4701)) % 2.52/2.79 (step @p4703 :rule trans :premises (@p4702 @p4638)) % 2.52/2.79 (step @p4704 :rule ho_cong :premises (@p1322 @p4703)) % 2.52/2.79 (step @p4705 :rule trans :premises (@p4704 @p4633)) % 2.52/2.79 (step @p4706 :rule cong :premises (@p4705) :args (@t3045)) % 2.52/2.79 (step @p4707 :rule ho_cong :premises (@p3323 @p4706)) % 2.52/2.79 (step @p4708 :rule trans :premises (@p4707 @p4628)) % 2.52/2.79 (step @p4709 :rule cong :premises (@p183 @p4708) :args (@t3047)) % 2.52/2.79 (step @p4710 :rule refl :args (@t3048)) % 2.52/2.79 (step @p4711 :rule cong :premises (@p4710 @p4595) :args ((= @t3048 @t561))) % 2.52/2.79 (step @p4712 :rule symm :premises (@p4711)) % 2.52/2.79 (step @p4713 :rule eq_resolve :premises (@p4710 @p4712)) % 2.52/2.79 (step @p4714 :rule cong :premises (@p4713 @p1296) :args (@t3049)) % 2.52/2.79 (step @p4715 :rule nary_cong :premises (@p4714 @p4709) :args (@t3050)) % 2.52/2.79 (step @p4716 :rule nary_cong :premises (@p4713 @p4598) :args (@t3051)) % 2.52/2.79 (step @p4717 :rule nary_cong :premises (@p4716 @p4715) :args (@t3052)) % 2.52/2.79 (step @p4718 :rule cong :premises (@p4717) :args (@t3053)) % 2.52/2.79 (step @p4719 :rule ho_cong :premises (@p174 @p4718)) % 2.52/2.79 (step @p4720 :rule trans :premises (@p4719 @p4623)) % 2.52/2.79 (step @p4721 :rule cong :premises (@p4720) :args (@t3055)) % 2.52/2.79 (step @p4722 :rule ho_cong :premises (@p1394 @p4721)) % 2.52/2.79 (step @p4723 :rule trans :premises (@p4722 @p4618)) % 2.52/2.79 (step @p4724 :rule ho_cong :premises (@p1322 @p4723)) % 2.52/2.79 (step @p4725 :rule trans :premises (@p4724 @p4613)) % 2.52/2.79 (step @p4726 :rule cong :premises (@p2949 @p4725) :args (@t3058)) % 2.52/2.79 (step @p4727 :rule nary_cong :premises (@p3646 @p4726) :args (@t3059)) % 2.52/2.79 (step @p4728 :rule cong :premises (@p4727) :args ((forall @t23 @t3059))) % 2.52/2.79 (step @p4729 :rule trans :premises (@p4728 @p4540)) % 2.52/2.79 (step @p4730 :rule alpha_equiv :args (@t3060 @t1041 (@list @t560))) % 2.52/2.79 (step @p4731 :rule ho_cong :premises (@p3271 @p4730)) % 2.52/2.79 (step @p4732 :rule ho_cong :premises (@p1322 @p4731)) % 2.52/2.79 (step @p4733 :rule cong :premises (@p2949 @p4732) :args (@t3062)) % 2.52/2.79 (step @p4734 :rule nary_cong :premises (@p3646 @p4733) :args (@t3063)) % 2.52/2.79 (step @p4735 :rule cong :premises (@p4734) :args (@t3064)) % 2.52/2.79 (step @p4736 :rule trans :premises (@p4735 @p4729)) % 2.52/2.79 (step @p4737 :rule beta-reduce :args ((= (_ @t3067 @t3061) @t3064))) % 2.52/2.79 (step @p4738 :rule trans :premises (@p4737 @p4736)) % 2.52/2.79 (step @p4739 :rule beta-reduce :args ((= (_ (lambda @t18 @t3061) @t11) @t3061))) % 2.52/2.79 (step @p4740 :rule beta-reduce :args ((= (_ (lambda (@list @t11 @t3065) (forall @t23 (or @t2299 @t3066))) @t2) @t3067))) % 2.52/2.79 (step @p4741 :rule alpha_equiv :args (@t2447 @t2782 (@list @t3065))) % 2.52/2.79 (step @p4742 :rule ho_cong :premises (@p4741 @p3679)) % 2.52/2.79 (step @p4743 :rule trans :premises (@p4742 @p4740)) % 2.52/2.79 (step @p4744 :rule ho_cong :premises (@p4743 @p4739)) % 2.52/2.79 (step @p4745 :rule trans :premises (@p4744 @p4738)) % 2.52/2.79 (step @p4746 :rule ho_cong :premises (@p1526 @p4745)) % 2.52/2.79 (step @p4747 :rule trans :premises (@p4746 @p4497)) % 2.52/2.79 (step @p4748 :rule ho_cong :premises (@p4747 @p4490)) % 2.52/2.79 (step @p4749 :rule trans :premises (@p4748 @p4091)) % 2.52/2.79 ; trust TRUST_THEORY_REWRITE % 2.52/2.79 (step @p4750 :rule trust :premises () :args ((= (lambda @t23 (_ tptp.c_Eps_i @t3068)) @t2629))) % 2.52/2.79 ; trust TRUST_THEORY_REWRITE % 2.52/2.79 (step @p4751 :rule trust :premises () :args ((= (lambda @t30 (or @t1552 (and @t1499 (= @t24 @t1556)))) @t3068))) % 2.52/2.79 (step @p4752 :rule eq-symm :args (@t1556 @t24)) % 2.52/2.79 (step @p4753 :rule nary_cong :premises (@p1429 @p4752) :args (@t3069)) % 2.52/2.79 (step @p4754 :rule nary_cong :premises (@p1481 @p4753) :args (@t3070)) % 2.52/2.79 (step @p4755 :rule cong :premises (@p4754) :args (@t3071)) % 2.52/2.79 (step @p4756 :rule trans :premises (@p4755 @p4751)) % 2.52/2.79 (step @p4757 :rule ho_cong :premises (@p261 @p4756)) % 2.52/2.79 (step @p4758 :rule cong :premises (@p4757) :args (@t3072)) % 2.52/2.79 (step @p4759 :rule trans :premises (@p4758 @p4750)) % 2.52/2.79 (step @p4760 :rule ho_cong :premises (@p1437 @p4759)) % 2.52/2.79 (step @p4761 :rule ho_cong :premises (@p1439 @p4760)) % 2.52/2.79 (step @p4762 :rule beta-reduce :args ((= (_ @t3073 @t1556) (_ tptp.c_Union (_ @t156 @t3072))))) % 2.52/2.79 (step @p4763 :rule trans :premises (@p4762 @p4761)) % 2.52/2.79 (step @p4764 :rule beta-reduce :args ((= (_ @t1557 @t11) @t1556))) % 2.52/2.79 (step @p4765 :rule beta-reduce :args ((= (_ @t1555 @t11) @t3073))) % 2.52/2.79 (step @p4766 :rule ho_cong :premises (@p4765 @p4764)) % 2.52/2.79 (step @p4767 :rule trans :premises (@p4766 @p4763)) % 2.52/2.79 (step @p4768 :rule ho_cong :premises (@p1658 @p1475)) % 2.52/2.79 (step @p4769 :rule ho_cong :premises (@p1668 @p1475)) % 2.52/2.79 (step @p4770 :rule ho_cong :premises (@p4769 @p4768)) % 2.52/2.79 (step @p4771 :rule trans :premises (@p4770 @p4767)) % 2.52/2.79 (step @p4772 :rule cong :premises (@p4771) :args (@t218)) % 2.52/2.79 (step @p4773 :rule trans :premises (@p67 @p4772)) % 2.52/2.79 (step @p4774 :rule ho_cong :premises (@p4773 @p1473)) % 2.52/2.79 (step @p4775 :rule ho_cong :premises (@p1658 @p4774)) % 2.52/2.79 ; trust TRUST_THEORY_REWRITE % 2.52/2.79 (step @p4776 :rule trust :premises () :args ((= (lambda @t23 (_ tptp.c_Eps_i @t3074)) @t2973))) % 2.52/2.79 ; trust TRUST_THEORY_REWRITE % 2.52/2.79 (step @p4777 :rule trust :premises () :args ((= (lambda @t30 (or @t1552 (and @t1499 (= @t24 @t3075)))) @t3074))) % 2.52/2.79 (step @p4778 :rule eq-symm :args (@t3075 @t24)) % 2.52/2.79 (step @p4779 :rule nary_cong :premises (@p1429 @p4778) :args (@t3076)) % 2.52/2.79 (step @p4780 :rule nary_cong :premises (@p1481 @p4779) :args (@t3077)) % 2.52/2.79 (step @p4781 :rule cong :premises (@p4780) :args (@t3078)) % 2.52/2.79 (step @p4782 :rule trans :premises (@p4781 @p4777)) % 2.52/2.79 (step @p4783 :rule ho_cong :premises (@p261 @p4782)) % 2.52/2.79 (step @p4784 :rule cong :premises (@p4783) :args (@t3079)) % 2.52/2.79 (step @p4785 :rule trans :premises (@p4784 @p4776)) % 2.52/2.79 (step @p4786 :rule ho_cong :premises (@p1437 @p4785)) % 2.52/2.79 (step @p4787 :rule ho_cong :premises (@p1439 @p4786)) % 2.52/2.79 (step @p4788 :rule beta-reduce :args ((= (_ @t3073 @t3075) (_ tptp.c_Union (_ @t156 @t3079))))) % 2.52/2.79 (step @p4789 :rule trans :premises (@p4788 @p4787)) % 2.52/2.79 (step @p4790 :rule beta-reduce :args ((= (_ @t1557 @t2) @t3075))) % 2.52/2.79 (step @p4791 :rule ho_cong :premises (@p4765 @p4790)) % 2.52/2.79 (step @p4792 :rule trans :premises (@p4791 @p4789)) % 2.52/2.79 (step @p4793 :rule ho_cong :premises (@p1658 @p840)) % 2.52/2.79 (step @p4794 :rule ho_cong :premises (@p4769 @p4793)) % 2.52/2.79 (step @p4795 :rule trans :premises (@p4794 @p4792)) % 2.52/2.79 (step @p4796 :rule cong :premises (@p4795) :args (@t162)) % 2.52/2.79 (step @p4797 :rule trans :premises (@p55 @p4796)) % 2.52/2.79 (step @p4798 :rule ho_cong :premises (@p4797 @p266)) % 2.52/2.79 (step @p4799 :rule ho_cong :premises (@p4798 @p4775)) % 2.52/2.79 (step @p4800 :rule cong :premises (@p4799) :args (@t295)) % 2.52/2.79 (step @p4801 :rule ho_cong :premises (@p4800 @p740)) % 2.52/2.79 (step @p4802 :rule ho_cong :premises (@p4479 @p4801)) % 2.52/2.79 (step @p4803 :rule ho_cong :premises (@p4802 @p840)) % 2.52/2.79 (step @p4804 :rule beta-reduce :args ((= (_ (lambda @t1581 (or @t2895 @t1580)) @t2894) @t2896))) % 2.52/2.79 (step @p4805 :rule beta-reduce :args ((= (_ @t1584 @t9) @t2894))) % 2.52/2.79 (step @p4806 :rule ho_cong :premises (@p1528 @p1570)) % 2.52/2.79 (step @p4807 :rule trans :premises (@p4806 @p4805)) % 2.52/2.79 (step @p4808 :rule bool-double-not-elim :args (@t2895)) % 2.52/2.79 (step @p4809 :rule bool-eq-false :args (@t2895)) % 2.52/2.79 (step @p4810 :rule cong :premises (@p4809) :args (@t3081)) % 2.52/2.79 (step @p4811 :rule trans :premises (@p4810 @p4808)) % 2.52/2.79 (step @p4812 :rule nary_cong :premises (@p4811 @p1538) :args ((or @t3081 @t1598))) % 2.52/2.79 (step @p4813 :rule ite-else-true :args (@t3080 @t1598)) % 2.52/2.79 (step @p4814 :rule trans :premises (@p4813 @p4812)) % 2.52/2.79 (step @p4815 :rule cong :premises (@p4814) :args (@t3082)) % 2.52/2.79 (step @p4816 :rule beta-reduce :args ((= (_ @t1601 @t2895) @t3082))) % 2.52/2.79 (step @p4817 :rule trans :premises (@p4816 @p4815)) % 2.52/2.79 (step @p4818 :rule beta-reduce :args ((= (_ @t1602 @t2892) @t2895))) % 2.52/2.79 (step @p4819 :rule beta-reduce :args ((= (_ @t79 @t9) @t2892))) % 2.52/2.79 (step @p4820 :rule ho_cong :premises (@p1558 @p4819)) % 2.52/2.79 (step @p4821 :rule trans :premises (@p4820 @p4818)) % 2.52/2.79 (step @p4822 :rule ho_cong :premises (@p1561 @p4821)) % 2.52/2.79 (step @p4823 :rule trans :premises (@p4822 @p4817)) % 2.52/2.79 (step @p4824 :rule ho_cong :premises (@p4823 @p4807)) % 2.52/2.79 (step @p4825 :rule trans :premises (@p4824 @p4804)) % 2.52/2.79 (step @p4826 :rule ho_cong :premises (@p1603 @p1570)) % 2.52/2.79 (step @p4827 :rule ho_cong :premises (@p18 @p1570)) % 2.52/2.79 (step @p4828 :rule ho_cong :premises (@p1606 @p4827)) % 2.52/2.79 (step @p4829 :rule ho_cong :premises (@p1638 @p4828)) % 2.52/2.79 (step @p4830 :rule ho_cong :premises (@p4829 @p4826)) % 2.52/2.79 (step @p4831 :rule trans :premises (@p4830 @p4825)) % 2.52/2.79 (step @p4832 :rule cong :premises (@p4831) :args (@t149)) % 2.52/2.79 (step @p4833 :rule trans :premises (@p48 @p4832)) % 2.52/2.79 (step @p4834 :rule ho_cong :premises (@p4833 @p4803)) % 2.52/2.79 (step @p4835 :rule ho_cong :premises (@p4834 @p4351)) % 2.52/2.79 (step @p4836 :rule cong :premises (@p4487 @p4835) :args (@t297)) % 2.52/2.79 (step @p4837 :rule cong :premises (@p4836) :args (@t298)) % 2.52/2.79 (step @p4838 :rule eq-symm :args (@t552 @t3033)) % 2.52/2.79 (step @p4839 :rule refl :args (@t3036)) % 2.52/2.79 (step @p4840 :rule nary_cong :premises (@p4839 @p4838) :args (@t3083)) % 2.52/2.79 (step @p4841 :rule refl :args (@t3038)) % 2.52/2.79 (step @p4842 :rule nary_cong :premises (@p4841 @p4840) :args (@t3084)) % 2.52/2.79 (step @p4843 :rule cong :premises (@p4842) :args (@t3085)) % 2.52/2.79 (step @p4844 :rule ho_cong :premises (@p261 @p4843)) % 2.52/2.79 (step @p4845 :rule cong :premises (@p4844) :args (@t3086)) % 2.52/2.79 (step @p4846 :rule ho_cong :premises (@p1437 @p4845)) % 2.52/2.79 (step @p4847 :rule ho_cong :premises (@p1439 @p4846)) % 2.52/2.79 (step @p4848 :rule cong :premises (@p4847) :args (@t3087)) % 2.52/2.79 (step @p4849 :rule ho_cong :premises (@p3964 @p4848)) % 2.52/2.79 (step @p4850 :rule cong :premises (@p266 @p4849) :args (@t3088)) % 2.52/2.79 (step @p4851 :rule nary_cong :premises (@p1429 @p4850) :args (@t3089)) % 2.52/2.79 (step @p4852 :rule nary_cong :premises (@p1481 @p4851) :args (@t3090)) % 2.52/2.79 (step @p4853 :rule cong :premises (@p4852) :args (@t3091)) % 2.52/2.79 ; trust TRUST_THEORY_REWRITE % 2.52/2.79 (step @p4854 :rule trust :premises () :args ((= (lambda @t30 (or @t1552 (and @t1499 (= @t24 @t3094)))) @t3091))) % 2.52/2.79 (step @p4855 :rule trans :premises (@p4854 @p4853)) % 2.52/2.79 (step @p4856 :rule eq-symm :args (@t3094 @t24)) % 2.52/2.79 (step @p4857 :rule nary_cong :premises (@p1429 @p4856) :args (@t3095)) % 2.52/2.79 (step @p4858 :rule nary_cong :premises (@p1481 @p4857) :args (@t3096)) % 2.52/2.79 (step @p4859 :rule cong :premises (@p4858) :args (@t3097)) % 2.52/2.79 (step @p4860 :rule trans :premises (@p4859 @p4855)) % 2.52/2.79 (step @p4861 :rule ho_cong :premises (@p261 @p4860)) % 2.52/2.79 (step @p4862 :rule cong :premises (@p4861) :args (@t3098)) % 2.52/2.79 (step @p4863 :rule ho_cong :premises (@p1437 @p4862)) % 2.52/2.79 (step @p4864 :rule ho_cong :premises (@p1439 @p4863)) % 2.52/2.79 (step @p4865 :rule beta-reduce :args ((= (_ @t3073 @t3094) (_ tptp.c_Union (_ @t156 @t3098))))) % 2.52/2.79 (step @p4866 :rule trans :premises (@p4865 @p4864)) % 2.52/2.79 (step @p4867 :rule beta-reduce :args ((= (_ @t3100 @t2) @t3093))) % 2.52/2.79 ; trust TRUST_THEORY_REWRITE % 2.52/2.79 (step @p4868 :rule trust :premises () :args ((= (lambda @t23 (_ tptp.c_Union (_ @t156 (lambda @t558 (_ tptp.c_Eps_i (lambda @t30 (or @t3099 (and @t3036 (= @t24 (_ @t156 (lambda @t534 (_ tptp.c_Eps_i (lambda @t533 (or (and @t2859 @t3101) (and @t2860 @t3101))))))))))))))) @t3100))) % 2.52/2.79 (step @p4869 :rule eq-symm :args (@t545 @t2847)) % 2.52/2.79 (step @p4870 :rule nary_cong :premises (@p1429 @p4869) :args (@t3103)) % 2.52/2.79 (step @p4871 :rule nary_cong :premises (@p1448 @p4869) :args (@t3104)) % 2.52/2.79 (step @p4872 :rule nary_cong :premises (@p4871 @p4870) :args (@t3105)) % 2.52/2.79 (step @p4873 :rule cong :premises (@p4872) :args (@t3106)) % 2.52/2.79 (step @p4874 :rule ho_cong :premises (@p261 @p4873)) % 2.52/2.79 (step @p4875 :rule cong :premises (@p4874) :args (@t3107)) % 2.52/2.79 (step @p4876 :rule ho_cong :premises (@p1437 @p4875)) % 2.52/2.79 (step @p4877 :rule cong :premises (@p776 @p4876) :args (@t3108)) % 2.52/2.79 (step @p4878 :rule nary_cong :premises (@p4371 @p4877) :args (@t3109)) % 2.52/2.79 (step @p4879 :rule nary_cong :premises (@p4373 @p4877) :args (@t3110)) % 2.52/2.79 (step @p4880 :rule nary_cong :premises (@p4879 @p4878) :args (@t3111)) % 2.52/2.79 (step @p4881 :rule cong :premises (@p4880) :args (@t3112)) % 2.52/2.79 (step @p4882 :rule ho_cong :premises (@p261 @p4881)) % 2.52/2.79 (step @p4883 :rule cong :premises (@p4882) :args (@t3113)) % 2.52/2.79 (step @p4884 :rule ho_cong :premises (@p1437 @p4883)) % 2.52/2.79 (step @p4885 :rule cong :premises (@p266 @p4884) :args (@t3114)) % 2.52/2.79 (step @p4886 :rule nary_cong :premises (@p4839 @p4885) :args (@t3115)) % 2.52/2.79 (step @p4887 :rule refl :args (@t3099)) % 2.52/2.79 (step @p4888 :rule nary_cong :premises (@p4887 @p4886) :args (@t3116)) % 2.52/2.79 (step @p4889 :rule cong :premises (@p4888) :args (@t3117)) % 2.52/2.79 ; trust TRUST_THEORY_REWRITE % 2.52/2.79 (step @p4890 :rule trust :premises () :args ((= (lambda @t30 (or @t3099 (and @t3036 (= @t24 @t2929)))) @t3117))) % 2.52/2.79 (step @p4891 :rule trans :premises (@p4890 @p4889)) % 2.52/2.79 (step @p4892 :rule cong :premises (@p266 @p4407) :args (@t3118)) % 2.52/2.79 (step @p4893 :rule nary_cong :premises (@p4839 @p4892) :args (@t3119)) % 2.52/2.79 (step @p4894 :rule nary_cong :premises (@p4887 @p4893) :args (@t3120)) % 2.52/2.79 (step @p4895 :rule cong :premises (@p4894) :args (@t3121)) % 2.52/2.79 (step @p4896 :rule trans :premises (@p4895 @p4891)) % 2.52/2.79 (step @p4897 :rule ho_cong :premises (@p261 @p4896)) % 2.52/2.79 (step @p4898 :rule cong :premises (@p4897) :args (@t3122)) % 2.52/2.79 (step @p4899 :rule ho_cong :premises (@p1437 @p4898)) % 2.52/2.79 (step @p4900 :rule ho_cong :premises (@p1439 @p4899)) % 2.52/2.79 (step @p4901 :rule beta-reduce :args ((= (_ @t3124 @t2927) (_ tptp.c_Union (_ @t156 @t3122))))) % 2.52/2.79 (step @p4902 :rule trans :premises (@p4901 @p4900)) % 2.52/2.79 (step @p4903 :rule beta-reduce :args ((= (_ (lambda @t16 (_ tptp.c_Union (_ @t156 (lambda @t558 (_ tptp.c_Eps_i (lambda @t30 (or (and @t3035 @t1551) @t3123))))))) @t19) @t3124))) % 2.52/2.79 (step @p4904 :rule alpha_equiv :args (@t2973 @t1041 (@list @t553))) % 2.52/2.79 (step @p4905 :rule ho_cong :premises (@p3271 @p4904)) % 2.52/2.79 (step @p4906 :rule ho_cong :premises (@p1322 @p4905)) % 2.52/2.79 (step @p4907 :rule cong :premises (@p4906) :args (@t2974)) % 2.52/2.79 (step @p4908 :rule ho_cong :premises (@p4907 @p2949)) % 2.52/2.79 (step @p4909 :rule trans :premises (@p4908 @p4903)) % 2.52/2.79 (step @p4910 :rule ho_cong :premises (@p4909 @p4451)) % 2.52/2.79 (step @p4911 :rule trans :premises (@p4910 @p4902)) % 2.52/2.79 (step @p4912 :rule cong :premises (@p4911) :args (@t3125)) % 2.52/2.79 (step @p4913 :rule trans :premises (@p4912 @p4868)) % 2.52/2.79 (step @p4914 :rule ho_cong :premises (@p4913 @p840)) % 2.52/2.79 (step @p4915 :rule trans :premises (@p4914 @p4867)) % 2.52/2.79 (step @p4916 :rule cong :premises (@p4915) :args ((lambda @t33 (_ @t3125 @t2)))) % 2.52/2.79 (step @p4917 :rule ho_cong :premises (@p3964 @p4916)) % 2.52/2.79 (step @p4918 :rule ho_cong :premises (@p4765 @p4917)) % 2.52/2.79 (step @p4919 :rule trans :premises (@p4918 @p4866)) % 2.52/2.79 (step @p4920 :rule ho_cong :premises (@p4797 @p740)) % 2.52/2.79 (step @p4921 :rule ho_cong :premises (@p4920 @p4775)) % 2.52/2.79 (step @p4922 :rule cong :premises (@p4921) :args (@t292)) % 2.52/2.79 (step @p4923 :rule ho_cong :premises (@p4922 @p840)) % 2.52/2.79 (step @p4924 :rule cong :premises (@p4923) :args (@t293)) % 2.52/2.79 (step @p4925 :rule ho_cong :premises (@p3964 @p4924)) % 2.52/2.79 (step @p4926 :rule ho_cong :premises (@p4769 @p4925)) % 2.52/2.79 (step @p4927 :rule trans :premises (@p4926 @p4919)) % 2.52/2.79 (step @p4928 :rule cong :premises (@p4927) :args (@t294)) % 2.52/2.79 (step @p4929 :rule trans :premises (@p95 @p4928)) % 2.52/2.79 (step @p4930 :rule ho_cong :premises (@p4929 @p1475)) % 2.52/2.79 (step @p4931 :rule nary_cong :premises (@p4334 @p4096) :args (@t3126)) % 2.52/2.79 (step @p4932 :rule cong :premises (@p4931) :args ((forall @t23 @t3126))) % 2.52/2.79 (step @p4933 :rule bool-impl-elim :args (@t21 @t43)) % 2.52/2.79 (step @p4934 :rule cong :premises (@p4933) :args (@t91)) % 2.52/2.79 (step @p4935 :rule trans :premises (@p4934 @p4932)) % 2.52/2.79 (step @p4936 :rule cong :premises (@p4935) :args (@t92)) % 2.52/2.79 (step @p4937 :rule trans :premises (@p22 @p4936)) % 2.52/2.79 (step @p4938 :rule ho_cong :premises (@p4937 @p840)) % 2.52/2.79 (step @p4939 :rule ho_cong :premises (@p4938 @p4930)) % 2.52/2.79 (step @p4940 :rule ho_cong :premises (@p1602 @p4939)) % 2.52/2.79 (step @p4941 :rule ho_cong :premises (@p4940 @p4837)) % 2.52/2.79 (step @p4942 :rule trans :premises (@p4941 @p4749)) % 2.52/2.79 (step @p4943 :rule cong :premises (@p4942) :args (@t299)) % 2.52/2.79 (step @p4944 :rule trans :premises (@p96 @p4943)) % 2.52/2.79 (step @p4945 :rule ho_cong :premises (@p4944 @p840)) % 2.52/2.79 (step @p4946 :rule ho_cong :premises (@p4945 @p1475)) % 2.52/2.79 (step @p4947 :rule beta-reduce :args ((= (_ (lambda @t1583 (and @t2641 @t1582)) @t2790) @t2791))) % 2.52/2.79 (step @p4948 :rule aci_norm :args ((= @t3128 @t2788))) % 2.52/2.79 (step @p4949 :rule cong :premises (@p4948) :args (@t3129)) % 2.52/2.79 (step @p4950 :rule quant-merge-prenex :args ((= (forall @t33 @t3131) @t3129))) % 2.52/2.79 (step @p4951 :rule alpha_equiv :args (@t3132 (@list @t571 @t569) (@list @t3133 @t577))) % 2.52/2.79 (step @p4952 :rule refl :args (@t2611)) % 2.52/2.79 (step @p4953 :rule nary_cong :premises (@p4952 @p4951) :args (@t3134)) % 2.52/2.79 (step @p4954 :rule quant-miniscope-or :args ((= @t3131 @t3134))) % 2.52/2.79 (step @p4955 :rule trans :premises (@p4954 @p4953)) % 2.52/2.79 (step @p4956 :rule symm :premises (@p4955)) % 2.52/2.79 (step @p4957 :rule cong :premises (@p4956) :args ((forall @t33 (or @t2611 @t3137)))) % 2.52/2.79 (step @p4958 :rule trans :premises (@p4957 @p4950)) % 2.52/2.79 (step @p4959 :rule trans :premises (@p4958 @p4949)) % 2.52/2.79 (step @p4960 :rule refl :args (@t3137)) % 2.52/2.79 (step @p4961 :rule refl :args (@t2610)) % 2.52/2.79 (step @p4962 :rule refl :args (@t93)) % 2.52/2.79 (step @p4963 :rule cong :premises (@p4962 @p4961) :args ((= @t93 @t2610))) % 2.52/2.79 (step @p4964 :rule symm :premises (@p4963)) % 2.52/2.79 (step @p4965 :rule eq_resolve :premises (@p4962 @p4964)) % 2.52/2.79 (step @p4966 :rule cong :premises (@p4965) :args (@t3138)) % 2.52/2.79 (step @p4967 :rule nary_cong :premises (@p4966 @p4960) :args (@t3139)) % 2.52/2.79 (step @p4968 :rule cong :premises (@p4967) :args ((forall @t33 @t3139))) % 2.52/2.79 (step @p4969 :rule trans :premises (@p4968 @p4959)) % 2.52/2.79 (step @p4970 :rule bool-impl-elim :args (@t93 @t3137)) % 2.52/2.79 (step @p4971 :rule cong :premises (@p4970) :args ((forall @t33 (=> @t93 @t3137)))) % 2.52/2.79 (step @p4972 :rule trans :premises (@p4971 @p4969)) % 2.52/2.79 (step @p4973 :rule beta-reduce :args ((= (_ (lambda @t18 (forall @t3136 (or (not (tptp.c_In @t3133 @t11)) @t3135 @t2639))) @t2) @t3137))) % 2.52/2.79 (step @p4974 :rule alpha_equiv :args (@t2641 @t2782 (@list @t3133))) % 2.52/2.79 (step @p4975 :rule cong :premises (@p4974) :args (@t2642)) % 2.52/2.79 (step @p4976 :rule ho_cong :premises (@p4975 @p3679)) % 2.52/2.79 (step @p4977 :rule trans :premises (@p4976 @p4973)) % 2.52/2.79 (step @p4978 :rule refl :args (@t93)) % 2.52/2.79 (step @p4979 :rule cong :premises (@p4978 @p4977) :args (@t3140)) % 2.52/2.79 (step @p4980 :rule cong :premises (@p4979) :args ((forall @t33 @t3140))) % 2.52/2.79 (step @p4981 :rule trans :premises (@p4980 @p4972)) % 2.52/2.79 (step @p4982 :rule bool-eq-true :args (@t2641)) % 2.52/2.79 (step @p4983 :rule nary_cong :premises (@p4982 @p1518) :args ((and @t3141 @t1587))) % 2.52/2.79 (step @p4984 :rule ite-else-false :args (@t3141 @t1587)) % 2.52/2.79 (step @p4985 :rule trans :premises (@p4984 @p4983)) % 2.52/2.79 (step @p4986 :rule cong :premises (@p4985) :args (@t3142)) % 2.52/2.79 (step @p4987 :rule beta-reduce :args ((= (_ @t1591 @t2641) @t3142))) % 2.52/2.79 (step @p4988 :rule trans :premises (@p4987 @p4986)) % 2.52/2.79 (step @p4989 :rule beta-reduce :args ((= (_ @t2642 @t11) @t2641))) % 2.52/2.79 (step @p4990 :rule ho_cong :premises (@p1526 @p4989)) % 2.52/2.79 (step @p4991 :rule trans :premises (@p4990 @p4988)) % 2.52/2.79 (step @p4992 :rule ho_cong :premises (@p4991 @p4981)) % 2.52/2.79 (step @p4993 :rule trans :premises (@p4992 @p4947)) % 2.52/2.79 (step @p4994 :rule aci_norm :args ((= @t3144 @t2640))) % 2.52/2.79 (step @p4995 :rule cong :premises (@p4994) :args (@t3145)) % 2.52/2.79 (step @p4996 :rule quant-merge-prenex :args ((= (forall @t33 @t3147) @t3145))) % 2.52/2.79 (step @p4997 :rule alpha_equiv :args (@t3148 (@list @t577) @t1041)) % 2.52/2.79 (step @p4998 :rule nary_cong :premises (@p4952 @p4997) :args (@t3149)) % 2.52/2.79 (step @p4999 :rule quant-miniscope-or :args ((= @t3147 @t3149))) % 2.52/2.79 (step @p5000 :rule trans :premises (@p4999 @p4998)) % 2.52/2.79 (step @p5001 :rule symm :premises (@p5000)) % 2.52/2.79 (step @p5002 :rule cong :premises (@p5001) :args ((forall @t33 (or @t2611 @t2602)))) % 2.52/2.79 (step @p5003 :rule trans :premises (@p5002 @p4996)) % 2.52/2.79 (step @p5004 :rule trans :premises (@p5003 @p4995)) % 2.52/2.79 (step @p5005 :rule refl :args (@t2602)) % 2.52/2.79 (step @p5006 :rule nary_cong :premises (@p4966 @p5005) :args (@t3150)) % 2.52/2.79 (step @p5007 :rule cong :premises (@p5006) :args ((forall @t33 @t3150))) % 2.52/2.79 (step @p5008 :rule trans :premises (@p5007 @p5004)) % 2.52/2.79 (step @p5009 :rule bool-impl-elim :args (@t93 @t2602)) % 2.52/2.79 (step @p5010 :rule cong :premises (@p5009) :args ((forall @t33 (=> @t93 @t2602)))) % 2.52/2.79 (step @p5011 :rule trans :premises (@p5010 @p5008)) % 2.52/2.79 (step @p5012 :rule beta-reduce :args ((= (_ @t3067 @t11) @t2602))) % 2.52/2.79 (step @p5013 :rule ho_cong :premises (@p4743 @p1475)) % 2.52/2.79 (step @p5014 :rule trans :premises (@p5013 @p5012)) % 2.52/2.79 (step @p5015 :rule cong :premises (@p4978 @p5014) :args (@t3152)) % 2.52/2.79 (step @p5016 :rule cong :premises (@p5015) :args ((forall @t33 @t3152))) % 2.52/2.79 (step @p5017 :rule trans :premises (@p5016 @p5011)) % 2.52/2.79 (step @p5018 :rule ho_cong :premises (@p4938 @p1475)) % 2.52/2.79 (step @p5019 :rule cong :premises (@p4978 @p5018) :args (@t94)) % 2.52/2.79 (step @p5020 :rule cong :premises (@p5019) :args (@t95)) % 2.52/2.79 (step @p5021 :rule trans :premises (@p5020 @p5017)) % 2.52/2.79 (step @p5022 :rule cong :premises (@p5021) :args (@t96)) % 2.52/2.79 (step @p5023 :rule trans :premises (@p23 @p5022)) % 2.52/2.79 (step @p5024 :rule ho_cong :premises (@p5023 @p840)) % 2.52/2.79 (step @p5025 :rule cong :premises (@p4978 @p5024) :args (@t230)) % 2.52/2.79 (step @p5026 :rule cong :premises (@p5025) :args (@t231)) % 2.52/2.79 (step @p5027 :rule ho_cong :premises (@p5023 @p1475)) % 2.52/2.79 (step @p5028 :rule ho_cong :premises (@p1602 @p5027)) % 2.52/2.79 (step @p5029 :rule ho_cong :premises (@p5028 @p5026)) % 2.52/2.79 (step @p5030 :rule trans :premises (@p5029 @p4993)) % 2.52/2.79 (step @p5031 :rule cong :premises (@p5030) :args (@t232)) % 2.52/2.79 (step @p5032 :rule trans :premises (@p72 @p5031)) % 2.52/2.79 (step @p5033 :rule ho_cong :premises (@p5032 @p840)) % 2.52/2.79 (step @p5034 :rule ho_cong :premises (@p1602 @p5033)) % 2.52/2.79 (step @p5035 :rule ho_cong :premises (@p5034 @p4946)) % 2.52/2.79 (step @p5036 :rule cong :premises (@p5035) :args (@t302)) % 2.52/2.79 (step @p5037 :rule trans :premises (@p5036 @p4039)) % 2.52/2.79 (step @p5038 :rule cong :premises (@p5037) :args (@t303)) % 2.52/2.79 (step @p5039 :rule trans :premises (@p98 @p5038)) % 2.52/2.79 (step @p5040 :rule ho_cong :premises (@p5039 @p740)) % 2.52/2.79 (step @p5041 :rule ho_cong :premises (@p18 @p5040)) % 2.52/2.79 (step @p5042 :rule ho_cong :premises (@p3986 @p3315)) % 2.52/2.79 (step @p5043 :rule refl :args (@t2439)) % 2.52/2.79 (step @p5044 :rule beta-reduce :args ((= @t3153 @t2))) % 2.52/2.79 (step @p5045 :rule ho_cong :premises (@p2798 @p5044)) % 2.52/2.79 (step @p5046 :rule ho_cong :premises (@p5045 @p5043)) % 2.52/2.79 (step @p5047 :rule cong :premises (@p5046) :args (@t3154)) % 2.52/2.79 (step @p5048 :rule ho_cong :premises (@p3964 @p5047)) % 2.52/2.79 (step @p5049 :rule ho_cong :premises (@p1439 @p5048)) % 2.52/2.79 (step @p5050 :rule beta-reduce :args ((= (_ @t3159 @t253) (_ tptp.c_Union (_ @t32 @t3154))))) % 2.52/2.79 (step @p5051 :rule trans :premises (@p5050 @p5049)) % 2.52/2.79 (step @p5052 :rule refl :args (@t253)) % 2.52/2.79 (step @p5053 :rule beta-reduce :args ((= (_ (lambda @t48 @t3157) @t11) @t3159))) % 2.52/2.79 (step @p5054 :rule ho_cong :premises (@p5053 @p5052)) % 2.52/2.79 (step @p5055 :rule trans :premises (@p5054 @p5051)) % 2.52/2.79 (step @p5056 :rule beta-reduce :args ((= @t3160 @t3155))) % 2.52/2.79 (step @p5057 :rule cong :premises (@p5056) :args (@t3161)) % 2.52/2.79 (step @p5058 :rule ho_cong :premises (@p3964 @p5057)) % 2.52/2.79 (step @p5059 :rule ho_cong :premises (@p1439 @p5058)) % 2.52/2.79 (step @p5060 :rule beta-reduce :args ((= (_ @t3162 @t3156) (_ tptp.c_Union (_ @t32 @t3161))))) % 2.52/2.79 (step @p5061 :rule trans :premises (@p5060 @p5059)) % 2.52/2.79 (step @p5062 :rule eq-symm :args (@t2438 @t478)) % 2.52/2.79 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:rule trans :premises (@p5238 @p5198)) % 2.52/2.79 (step @p5240 :rule quant-merge-prenex :args ((= (forall @t33 @t3212) @t2613))) % 2.52/2.79 (step @p5241 :rule quant-unused-vars :args ((= @t3213 @t1443))) % 2.52/2.79 (step @p5242 :rule alpha_equiv :args (@t3214 (@list @t2492) @t1041)) % 2.52/2.79 (step @p5243 :rule nary_cong :premises (@p5242 @p5241) :args (@t3215)) % 2.52/2.79 (step @p5244 :rule quant-miniscope-and :args ((= @t3216 @t3215))) % 2.52/2.79 (step @p5245 :rule trans :premises (@p5244 @p5243)) % 2.52/2.79 (step @p5246 :rule nary_cong :premises (@p4952 @p5245) :args (@t3217)) % 2.52/2.79 (step @p5247 :rule quant-miniscope-or :args ((= @t3212 @t3217))) % 2.52/2.79 (step @p5248 :rule trans :premises (@p5247 @p5246)) % 2.52/2.79 (step @p5249 :rule symm :premises (@p5248)) % 2.52/2.79 (step @p5250 :rule cong :premises (@p5249) :args ((forall @t33 (or @t2611 @t3219)))) % 2.52/2.79 (step @p5251 :rule trans :premises (@p5250 @p5240)) % 2.52/2.79 (step @p5252 :rule refl :args (@t3219)) % 2.52/2.79 (step @p5253 :rule nary_cong :premises (@p4966 @p5252) :args (@t3220)) % 2.52/2.79 (step @p5254 :rule cong :premises (@p5253) :args ((forall @t33 @t3220))) % 2.52/2.79 (step @p5255 :rule trans :premises (@p5254 @p5251)) % 2.52/2.79 (step @p5256 :rule bool-implies-de-morgan :args (@t3218 tptp.c_False)) % 2.52/2.79 (step @p5257 :rule refl :args (@t3138)) % 2.52/2.79 (step @p5258 :rule nary_cong :premises (@p5257 @p5256) :args ((or @t3138 (not @t3221)))) % 2.52/2.79 (step @p5259 :rule bool-and-de-morgan :args (@t93 @t3221 true)) % 2.52/2.79 (step @p5260 :rule trans :premises (@p5259 @p5258)) % 2.52/2.79 (step @p5261 :rule cong :premises (@p5260) :args (@t3223)) % 2.52/2.79 (step @p5262 :rule trans :premises (@p5261 @p5255)) % 2.52/2.79 (step @p5263 :rule cong :premises (@p5262) :args (@t3224)) % 2.52/2.79 (step @p5264 :rule exists-elim :args ((= (exists @t33 @t3222) @t3224))) % 2.52/2.79 (step @p5265 :rule trans :premises (@p5264 @p5263)) % 2.52/2.79 (step @p5266 :rule beta-reduce :args ((= (_ (lambda @t1583 (and @t93 @t1582)) @t3221) @t3222))) % 2.52/2.79 (step @p5267 :rule beta-reduce :args ((= (_ @t79 @t3218) @t3221))) % 2.52/2.79 (step @p5268 :rule refl :args (@t2494)) % 2.52/2.79 (step @p5269 :rule refl :args (@t41)) % 2.52/2.79 (step @p5270 :rule cong :premises (@p5269 @p5268) :args ((= @t41 @t2494))) % 2.52/2.79 (step @p5271 :rule symm :premises (@p5270)) % 2.52/2.79 (step @p5272 :rule eq_resolve :premises (@p5269 @p5271)) % 2.52/2.79 (step @p5273 :rule cong :premises (@p2949 @p5272) :args (@t3225)) % 2.52/2.79 (step @p5274 :rule refl :args (@t2299)) % 2.52/2.79 (step @p5275 :rule nary_cong :premises (@p5274 @p5273) :args (@t3226)) % 2.52/2.79 (step @p5276 :rule cong :premises (@p5275) :args (@t3227)) % 2.52/2.79 (step @p5277 :rule beta-reduce :args ((= (_ @t3207 @t41) @t3227))) % 2.52/2.79 (step @p5278 :rule trans :premises (@p5277 @p5276)) % 2.52/2.79 (step @p5279 :rule ho_cong :premises (@p5218 @p3929)) % 2.52/2.79 (step @p5280 :rule trans :premises (@p5279 @p5278)) % 2.52/2.79 (step @p5281 :rule ho_cong :premises (@p1231 @p5280)) % 2.52/2.79 (step @p5282 :rule trans :premises (@p5281 @p5267)) % 2.52/2.79 (step @p5283 :rule bool-eq-true :args (@t93)) % 2.52/2.79 (step @p5284 :rule nary_cong :premises (@p5283 @p1518) :args ((and @t3228 @t1587))) % 2.52/2.79 (step @p5285 :rule ite-else-false :args (@t3228 @t1587)) % 2.52/2.79 (step @p5286 :rule trans :premises (@p5285 @p5284)) % 2.52/2.79 (step @p5287 :rule cong :premises (@p5286) :args (@t3229)) % 2.52/2.79 (step @p5288 :rule beta-reduce :args ((= (_ @t1591 @t93) @t3229))) % 2.52/2.79 (step @p5289 :rule trans :premises (@p5288 @p5287)) % 2.52/2.79 (step @p5290 :rule ho_cong :premises (@p1526 @p4978)) % 2.52/2.79 (step @p5291 :rule trans :premises (@p5290 @p5289)) % 2.52/2.79 (step @p5292 :rule ho_cong :premises (@p5291 @p5282)) % 2.52/2.79 (step @p5293 :rule trans :premises (@p5292 @p5266)) % 2.52/2.79 (step @p5294 :rule cong :premises (@p5293) :args ((exists @t33 (_ (_ @t1593 @t93) (_ @t79 (_ @t3208 @t41)))))) % 2.52/2.79 (step @p5295 :rule trans :premises (@p5294 @p5265)) % 2.52/2.79 (step @p5296 :rule ho_cong :premises (@p4937 @p1475)) % 2.52/2.79 (step @p5297 :rule ho_cong :premises (@p5296 @p3929)) % 2.52/2.79 (step @p5298 :rule ho_cong :premises (@p18 @p5297)) % 2.52/2.79 (step @p5299 :rule ho_cong :premises (@p1602 @p4978)) % 2.52/2.79 (step @p5300 :rule ho_cong :premises (@p5299 @p5298)) % 2.52/2.79 (step @p5301 :rule cong :premises (@p5300) :args (@t97)) % 2.52/2.79 (step @p5302 :rule trans :premises (@p5301 @p5295)) % 2.52/2.79 (step @p5303 :rule cong :premises (@p5302) :args (@t98)) % 2.52/2.79 (step @p5304 :rule trans :premises (@p24 @p5303)) % 2.52/2.79 (step @p5305 :rule ho_cong :premises (@p5304 @p840)) % 2.52/2.79 (step @p5306 :rule ho_cong :premises (@p5296 @p840)) % 2.52/2.79 (step @p5307 :rule ho_cong :premises (@p18 @p5306)) % 2.52/2.79 (step @p5308 :rule ho_cong :premises (@p1602 @p5307)) % 2.52/2.79 (step @p5309 :rule ho_cong :premises (@p5308 @p5305)) % 2.52/2.79 (step @p5310 :rule ho_cong :premises (@p1602 @p5018)) % 2.52/2.79 (step @p5311 :rule ho_cong :premises (@p5310 @p5309)) % 2.52/2.79 (step @p5312 :rule cong :premises (@p5311) :args (@t102)) % 2.52/2.79 (step @p5313 :rule trans :premises (@p5312 @p5239)) % 2.52/2.79 (step @p5314 :rule cong :premises (@p5313) :args (@t103)) % 2.52/2.79 (step @p5315 :rule trans :premises (@p25 @p5314)) % 2.52/2.79 (step @p5316 :rule ho_cong :premises (@p5315 @p1475)) % 2.52/2.79 (step @p5317 :rule ho_cong :premises (@p18 @p5316)) % 2.52/2.79 (step @p5318 :rule ho_cong :premises (@p5304 @p1475)) % 2.52/2.79 (step @p5319 :rule ho_cong :premises (@p1602 @p5318)) % 2.52/2.79 (step @p5320 :rule ho_cong :premises (@p5319 @p5317)) % 2.52/2.79 (step @p5321 :rule trans :premises (@p5320 @p5162)) % 2.52/2.79 (step @p5322 :rule cong :premises (@p5321) :args (@t108)) % 2.52/2.79 (step @p5323 :rule trans :premises (@p29 @p5322)) % 2.52/2.79 (step @p5324 :rule ho_cong :premises (@p5323 @p5145)) % 2.52/2.79 (step @p5325 :rule ho_cong :premises (@p5139 @p5324)) % 2.52/2.79 (step @p5326 :rule cong :premises (@p5325) :args (@t65)) % 2.52/2.79 (step @p5327 :rule cong :premises (@p3728 @p5326) :args (@t67)) % 2.52/2.79 (step @p5328 :rule cong :premises (@p5327) :args (@t68)) % 2.52/2.79 (step @p5329 :rule refl :args (@t69)) % 2.52/2.79 (step @p5330 :rule ho_cong :premises (@p5023 @p5329)) % 2.52/2.79 (step @p5331 :rule cong :premises (@p5330 @p5328) :args (@t70)) % 2.52/2.79 (step @p5332 :rule refl :args (@t71)) % 2.52/2.79 (step @p5333 :rule ho_cong :premises (@p3982 @p5332)) % 2.52/2.79 (step @p5334 :rule ho_cong :premises (@p5333 @p1473)) % 2.52/2.79 (step @p5335 :rule ho_cong :premises (@p2860 @p5334)) % 2.52/2.79 (step @p5336 :rule refl :args (@t72)) % 2.52/2.79 (step @p5337 :rule refl :args (@t2715)) % 2.52/2.79 (step @p5338 :rule refl :args (@t3230)) % 2.52/2.79 (step @p5339 :rule cong :premises (@p5338 @p5337) :args ((= @t3230 @t2715))) % 2.52/2.79 (step @p5340 :rule symm :premises (@p5339)) % 2.52/2.79 (step @p5341 :rule eq_resolve :premises (@p5338 @p5340)) % 2.52/2.79 (step @p5342 :rule cong :premises (@p5341) :args (@t3231)) % 2.52/2.79 (step @p5343 :rule refl :args (@t2736)) % 2.52/2.79 (step @p5344 :rule nary_cong :premises (@p5343 @p5342) :args (@t3232)) % 2.52/2.79 (step @p5345 :rule cong :premises (@p5344) :args ((forall @t662 @t3232))) % 2.52/2.79 (step @p5346 :rule beta-reduce :args ((= @t3233 @t3230))) % 2.52/2.79 (step @p5347 :rule cong :premises (@p5346) :args (@t3234)) % 2.52/2.79 (step @p5348 :rule refl :args (@t2736)) % 2.52/2.79 (step @p5349 :rule nary_cong :premises (@p5348 @p5347) :args (@t3235)) % 2.52/2.79 (step @p5350 :rule cong :premises (@p5349) :args (@t3236)) % 2.52/2.79 (step @p5351 :rule trans :premises (@p5350 @p5345)) % 2.52/2.79 (step @p5352 :rule cong :premises (@p5351) :args (@t3237)) % 2.52/2.79 (step @p5353 :rule cong :premises (@p5352 @p1196) :args (@t3238)) % 2.52/2.79 (step @p5354 :rule nary_cong :premises (@p5353 @p946) :args (@t3239)) % 2.52/2.79 (step @p5355 :rule beta-reduce :args ((= @t3240 @t2718))) % 2.52/2.79 (step @p5356 :rule refl :args (@t168)) % 2.52/2.79 (step @p5357 :rule nary_cong :premises (@p5356 @p5355) :args (@t3241)) % 2.52/2.79 (step @p5358 :rule cong :premises (@p5357) :args (@t3242)) % 2.52/2.79 (step @p5359 :rule ho_cong :premises (@p261 @p5358)) % 2.52/2.79 (step @p5360 :rule cong :premises (@p1033 @p5359) :args (@t3243)) % 2.52/2.79 (step @p5361 :rule beta-reduce :args ((= @t3244 @t2719))) % 2.52/2.79 (step @p5362 :rule cong :premises (@p5361 @p1196) :args (@t3245)) % 2.52/2.79 (step @p5363 :rule nary_cong :premises (@p5362 @p5360) :args (@t3246)) % 2.52/2.79 (step @p5364 :rule nary_cong :premises (@p5361 @p1059) :args (@t3247)) % 2.52/2.79 (step @p5365 :rule nary_cong :premises (@p5364 @p5363) :args (@t3248)) % 2.52/2.79 (step @p5366 :rule cong :premises (@p5365) :args (@t3249)) % 2.52/2.79 (step @p5367 :rule ho_cong :premises (@p261 @p5366)) % 2.52/2.79 (step @p5368 :rule cong :premises (@p5367) :args (@t3250)) % 2.52/2.79 (step @p5369 :rule ho_cong :premises (@p3964 @p5368)) % 2.52/2.79 (step @p5370 :rule cong :premises (@p266 @p5369) :args (@t3251)) % 2.52/2.79 (step @p5371 :rule nary_cong :premises (@p5352 @p5370) :args (@t3252)) % 2.52/2.79 (step @p5372 :rule nary_cong :premises (@p5371 @p5354) :args (@t3253)) % 2.52/2.79 (step @p5373 :rule cong :premises (@p5372) :args (@t3254)) % 2.52/2.79 (step @p5374 :rule ho_cong :premises (@p261 @p5373)) % 2.52/2.79 (step @p5375 :rule beta-reduce :args ((= (_ @t3264 @t181) (_ tptp.c_Eps_i @t3254)))) % 2.52/2.79 (step @p5376 :rule trans :premises (@p5375 @p5374)) % 2.52/2.79 (step @p5377 :rule refl :args (@t181)) % 2.52/2.79 (step @p5378 :rule beta-reduce :args ((= (_ (lambda @t177 @t3263) @t11) @t3264))) % 2.52/2.79 (step @p5379 :rule ho_cong :premises (@p5378 @p5377)) % 2.52/2.79 (step @p5380 :rule trans :premises (@p5379 @p5376)) % 2.52/2.79 (step @p5381 :rule beta-reduce :args ((= (_ (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or @t3262 @t3265)))) tptp.c_Empty) @t3263))) % 2.52/2.79 (step @p5382 :rule refl :args (@t3265)) % 2.52/2.79 (step @p5383 :rule refl :args (@t3261)) % 2.52/2.79 (step @p5384 :rule eq-symm :args (@t706 @t700)) % 2.52/2.79 (step @p5385 :rule refl :args (@t3260)) % 2.52/2.79 (step @p5386 :rule nary_cong :premises (@p5385 @p5384) :args (@t3266)) % 2.52/2.79 (step @p5387 :rule nary_cong :premises (@p5386 @p5383) :args (@t3267)) % 2.52/2.79 (step @p5388 :rule cong :premises (@p5387) :args (@t3268)) % 2.52/2.79 (step @p5389 :rule ho_cong :premises (@p261 @p5388)) % 2.52/2.79 (step @p5390 :rule cong :premises (@p5389) :args (@t3269)) % 2.52/2.79 (step @p5391 :rule ho_cong :premises (@p3964 @p5390)) % 2.52/2.79 (step @p5392 :rule cong :premises (@p266 @p5391) :args (@t3270)) % 2.52/2.79 (step @p5393 :rule refl :args (@t3255)) % 2.52/2.79 (step @p5394 :rule nary_cong :premises (@p5393 @p5392) :args (@t3271)) % 2.52/2.79 (step @p5395 :rule nary_cong :premises (@p5394 @p5382) :args (@t3272)) % 2.52/2.79 (step @p5396 :rule cong :premises (@p5395) :args (@t3273)) % 2.52/2.79 (step @p5397 :rule ho_cong :premises (@p261 @p5396)) % 2.52/2.79 (step @p5398 :rule cong :premises (@p5397) :args (@t3274)) % 2.52/2.79 ; trust TRUST_THEORY_REWRITE % 2.52/2.79 (step @p5399 :rule trust :premises () :args ((= (lambda @t23 (_ tptp.c_Eps_i (lambda @t30 (or (and @t3255 (= @t24 @t3277)) @t3265)))) @t3274))) % 2.52/2.79 (step @p5400 :rule trans :premises (@p5399 @p5398)) % 2.52/2.79 (step @p5401 :rule eq-symm :args (@t3277 @t24)) % 2.52/2.79 (step @p5402 :rule nary_cong :premises (@p5393 @p5401) :args (@t3278)) % 2.52/2.79 (step @p5403 :rule nary_cong :premises (@p5402 @p5382) :args (@t3279)) % 2.52/2.79 (step @p5404 :rule cong :premises (@p5403) :args (@t3280)) % 2.52/2.79 (step @p5405 :rule ho_cong :premises (@p261 @p5404)) % 2.52/2.79 (step @p5406 :rule cong :premises (@p5405) :args (@t3281)) % 2.52/2.79 (step @p5407 :rule trans :premises (@p5406 @p5400)) % 2.52/2.79 (step @p5408 :rule beta-reduce :args ((= (_ @t3282 @t3277) @t3281))) % 2.52/2.79 (step @p5409 :rule trans :premises (@p5408 @p5407)) % 2.52/2.79 (step @p5410 :rule beta-reduce :args ((= (_ (lambda @t30 (_ tptp.c_Eps_i (lambda @t709 (or @t3284 (and @t3283 @t3259))))) @t19) @t3276))) % 2.52/2.79 (step @p5411 :rule eq-symm :args (@t3258 @t700)) % 2.52/2.79 (step @p5412 :rule refl :args (@t3283)) % 2.52/2.79 (step @p5413 :rule nary_cong :premises (@p5412 @p5411) :args (@t3285)) % 2.52/2.79 (step @p5414 :rule refl :args (@t3284)) % 2.52/2.79 (step @p5415 :rule nary_cong :premises (@p5414 @p5413) :args (@t3286)) % 2.52/2.79 (step @p5416 :rule cong :premises (@p5415) :args (@t3287)) % 2.52/2.79 (step @p5417 :rule ho_cong :premises (@p261 @p5416)) % 2.52/2.79 (step @p5418 :rule beta-reduce :args ((= (_ @t3289 @t3258) (_ tptp.c_Eps_i @t3287)))) % 2.52/2.79 (step @p5419 :rule trans :premises (@p5418 @p5417)) % 2.52/2.79 (step @p5420 :rule beta-reduce :args ((= (_ (lambda @t1583 (and @t168 @t1582)) @t166) @t3257))) % 2.52/2.79 (step @p5421 :rule refl :args (@t166)) % 2.52/2.79 (step @p5422 :rule bool-eq-true :args (@t168)) % 2.52/2.79 (step @p5423 :rule nary_cong :premises (@p5422 @p1518) :args ((and @t3290 @t1587))) % 2.52/2.79 (step @p5424 :rule ite-else-false :args (@t3290 @t1587)) % 2.52/2.79 (step @p5425 :rule trans :premises (@p5424 @p5423)) % 2.52/2.79 (step @p5426 :rule cong :premises (@p5425) :args (@t3291)) % 2.52/2.79 (step @p5427 :rule beta-reduce :args ((= (_ @t1591 @t168) @t3291))) % 2.52/2.79 (step @p5428 :rule trans :premises (@p5427 @p5426)) % 2.52/2.79 (step @p5429 :rule ho_cong :premises (@p1526 @p5356)) % 2.52/2.79 (step @p5430 :rule trans :premises (@p5429 @p5428)) % 2.52/2.79 (step @p5431 :rule ho_cong :premises (@p5430 @p5421)) % 2.52/2.79 (step @p5432 :rule trans :premises (@p5431 @p5420)) % 2.52/2.79 (step @p5433 :rule cong :premises (@p5432) :args (@t3292)) % 2.52/2.79 (step @p5434 :rule ho_cong :premises (@p261 @p5433)) % 2.52/2.79 (step @p5435 :rule beta-reduce :args ((= (_ @t3294 @t24) @t3289))) % 2.52/2.79 (step @p5436 :rule beta-reduce :args ((= (_ (lambda @t146 (_ tptp.c_Eps_i (lambda @t709 (or (and @t4 @t3293) (and @t78 @t3275))))) @t171) @t3294))) % 2.52/2.79 (step @p5437 :rule refl :args (@t171)) % 2.52/2.79 (step @p5438 :rule alpha_equiv :args (@t1578 @t2415 (@list @t700))) % 2.52/2.79 (step @p5439 :rule ho_cong :premises (@p174 @p5438)) % 2.52/2.79 (step @p5440 :rule cong :premises (@p5439) :args (@t1579)) % 2.52/2.79 (step @p5441 :rule ho_cong :premises (@p5440 @p5437)) % 2.52/2.79 (step @p5442 :rule trans :premises (@p5441 @p5436)) % 2.52/2.79 (step @p5443 :rule ho_cong :premises (@p5442 @p266)) % 2.52/2.79 (step @p5444 :rule trans :premises (@p5443 @p5435)) % 2.52/2.79 (step @p5445 :rule ho_cong :premises (@p5444 @p5434)) % 2.52/2.79 (step @p5446 :rule trans :premises (@p5445 @p5419)) % 2.52/2.79 (step @p5447 :rule cong :premises (@p5446) :args (@t3295)) % 2.52/2.79 (step @p5448 :rule ho_cong :premises (@p5447 @p740)) % 2.52/2.79 (step @p5449 :rule trans :premises (@p5448 @p5410)) % 2.52/2.79 (step @p5450 :rule cong :premises (@p5449) :args ((lambda @t23 (_ @t3295 @t19)))) % 2.52/2.79 (step @p5451 :rule ho_cong :premises (@p3964 @p5450)) % 2.52/2.79 ; trust TRUST_THEORY_REWRITE % 2.52/2.79 (step @p5452 :rule trust :premises () :args ((= @t3298 @t3282))) % 2.52/2.79 (step @p5453 :rule beta-reduce :args ((= (_ @t1579 @t3297) @t3298))) % 2.52/2.79 (step @p5454 :rule trans :premises (@p5453 @p5452)) % 2.52/2.79 (step @p5455 :rule refl :args (@t3296)) % 2.52/2.79 (step @p5456 :rule refl :args (@t174)) % 2.52/2.79 (step @p5457 :rule cong :premises (@p5456 @p5455) :args ((= @t174 @t3296))) % 2.52/2.79 (step @p5458 :rule symm :premises (@p5457)) % 2.52/2.79 (step @p5459 :rule eq_resolve :premises (@p5456 @p5458)) % 2.52/2.79 (step @p5460 :rule cong :premises (@p5459) :args (@t3299)) % 2.52/2.79 (step @p5461 :rule nary_cong :premises (@p4334 @p5460) :args (@t3300)) % 2.52/2.79 (step @p5462 :rule cong :premises (@p5461) :args ((forall @t23 @t3300))) % 2.52/2.79 (step @p5463 :rule bool-and-de-morgan :args (@t21 @t174 true)) % 2.52/2.79 (step @p5464 :rule cong :premises (@p5463) :args (@t3302)) % 2.52/2.79 (step @p5465 :rule trans :premises (@p5464 @p5462)) % 2.52/2.79 (step @p5466 :rule cong :premises (@p5465) :args (@t3303)) % 2.52/2.79 (step @p5467 :rule exists-elim :args ((= (exists @t23 @t3301) @t3303))) % 2.52/2.79 (step @p5468 :rule trans :premises (@p5467 @p5466)) % 2.52/2.79 (step @p5469 :rule beta-reduce :args ((= (_ (lambda @t1583 (and @t21 @t1582)) @t174) @t3301))) % 2.52/2.79 (step @p5470 :rule refl :args (@t174)) % 2.52/2.79 (step @p5471 :rule bool-eq-true :args (@t21)) % 2.52/2.79 (step @p5472 :rule nary_cong :premises (@p5471 @p1518) :args ((and @t3304 @t1587))) % 2.52/2.79 (step @p5473 :rule ite-else-false :args (@t3304 @t1587)) % 2.52/2.79 (step @p5474 :rule trans :premises (@p5473 @p5472)) % 2.52/2.79 (step @p5475 :rule cong :premises (@p5474) :args (@t3305)) % 2.52/2.79 (step @p5476 :rule beta-reduce :args ((= (_ @t1591 @t21) @t3305))) % 2.52/2.79 (step @p5477 :rule trans :premises (@p5476 @p5475)) % 2.52/2.79 (step @p5478 :rule ho_cong :premises (@p1526 @p4487)) % 2.52/2.79 (step @p5479 :rule trans :premises (@p5478 @p5477)) % 2.52/2.79 (step @p5480 :rule ho_cong :premises (@p5479 @p5470)) % 2.52/2.79 (step @p5481 :rule trans :premises (@p5480 @p5469)) % 2.52/2.79 (step @p5482 :rule cong :premises (@p5481) :args ((exists @t23 (_ (_ @t1593 @t21) @t174)))) % 2.52/2.79 (step @p5483 :rule trans :premises (@p5482 @p5468)) % 2.52/2.79 (step @p5484 :rule refl :args (@t1579)) % 2.52/2.79 (step @p5485 :rule ho_cong :premises (@p5484 @p5483)) % 2.52/2.79 (step @p5486 :rule trans :premises (@p5485 @p5454)) % 2.52/2.79 (step @p5487 :rule ho_cong :premises (@p5486 @p5451)) % 2.52/2.79 (step @p5488 :rule trans :premises (@p5487 @p5409)) % 2.52/2.79 (step @p5489 :rule ho_cong :premises (@p5488 @p1473)) % 2.52/2.79 (step @p5490 :rule trans :premises (@p5489 @p5381)) % 2.52/2.79 (step @p5491 :rule ho_cong :premises (@p1602 @p5356)) % 2.52/2.79 (step @p5492 :rule ho_cong :premises (@p5491 @p5421)) % 2.52/2.79 (step @p5493 :rule cong :premises (@p5492) :args (@t170)) % 2.52/2.79 (step @p5494 :rule ho_cong :premises (@p261 @p5493)) % 2.52/2.79 (step @p5495 :rule refl :args (@t171)) % 2.52/2.79 (step @p5496 :rule ho_cong :premises (@p1645 @p5495)) % 2.52/2.79 (step @p5497 :rule ho_cong :premises (@p5496 @p266)) % 2.52/2.79 (step @p5498 :rule ho_cong :premises (@p5497 @p5494)) % 2.52/2.79 (step @p5499 :rule cong :premises (@p5498) :args (@t172)) % 2.52/2.79 (step @p5500 :rule ho_cong :premises (@p5499 @p740)) % 2.52/2.79 (step @p5501 :rule cong :premises (@p5500) :args (@t173)) % 2.52/2.79 (step @p5502 :rule ho_cong :premises (@p3964 @p5501)) % 2.52/2.79 (step @p5503 :rule ho_cong :premises (@p1602 @p4487)) % 2.52/2.79 (step @p5504 :rule ho_cong :premises (@p5503 @p5470)) % 2.52/2.79 (step @p5505 :rule cong :premises (@p5504) :args (@t176)) % 2.52/2.79 (step @p5506 :rule ho_cong :premises (@p1645 @p5505)) % 2.52/2.79 (step @p5507 :rule ho_cong :premises (@p5506 @p5502)) % 2.52/2.79 (step @p5508 :rule ho_cong :premises (@p5507 @p1473)) % 2.52/2.79 (step @p5509 :rule trans :premises (@p5508 @p5490)) % 2.52/2.79 (step @p5510 :rule cong :premises (@p5509) :args (@t178)) % 2.52/2.79 (step @p5511 :rule trans :premises (@p57 @p5510)) % 2.52/2.79 (step @p5512 :rule ho_cong :premises (@p5511 @p1475)) % 2.52/2.79 (step @p5513 :rule ho_cong :premises (@p5512 @p5377)) % 2.52/2.79 (step @p5514 :rule trans :premises (@p5513 @p5380)) % 2.52/2.79 (step @p5515 :rule cong :premises (@p5514) :args (@t182)) % 2.52/2.79 (step @p5516 :rule trans :premises (@p59 @p5515)) % 2.52/2.79 (step @p5517 :rule ho_cong :premises (@p5516 @p5336)) % 2.52/2.79 (step @p5518 :rule ho_cong :premises (@p5517 @p5335)) % 2.52/2.79 (step @p5519 :rule ho_cong :premises (@p2860 @p5518)) % 2.52/2.79 (step @p5520 :rule ho_cong :premises (@p2864 @p5519)) % 2.52/2.79 (step @p5521 :rule cong :premises (@p5520 @p5331) :args (@t73)) % 2.52/2.79 (step @p5522 :rule cong :premises (@p5521 @p5144) :args (@t74)) % 2.52/2.79 (step @p5523 :rule ho_cong :premises (@p1602 @p5522)) % 2.52/2.79 (step @p5524 :rule ho_cong :premises (@p5523 @p3994)) % 2.52/2.79 (step @p5525 :rule cong :premises (@p5524) :args (@t76)) % 2.52/2.79 (step @p5526 :rule ho_cong :premises (@p18 @p5525)) % 2.52/2.79 (step @p5527 :rule cong :premises (@p5526) :args (@t77)) % 2.52/2.79 (step @p5528 :rule trans :premises (@p5527 @p3927)) % 2.52/2.79 (step @p5529 :rule trans :premises (@p5528 @p2055)) % 2.52/2.79 (step @p5530 :rule eq_resolve :premises (@p16 @p5529)) % 2.52/2.79 (step @p5531 :rule and_elim :premises (@p5530) :args (1)) % 2.52/2.79 (step @p5532 :rule bool-impl-false1 :args (@t449)) % 2.52/2.79 (step @p5533 :rule evaluate :args ((not true))) % 2.52/2.79 (step @p5534 :rule beta-reduce :args ((= (_ @t3306 @t445) true))) % 2.52/2.79 (step @p5535 :rule beta-reduce :args ((= @t3309 @t445))) % 2.52/2.79 (step @p5536 :rule cong :premises (@p5535) :args (@t3310)) % 2.52/2.79 (step @p5537 :rule trans :premises (@p5536 @p5535)) % 2.52/2.79 (step @p5538 :rule cong :premises (@p5537) :args (@t3311)) % 2.52/2.79 (step @p5539 :rule trans :premises (@p5538 @p5535)) % 2.52/2.79 (step @p5540 :rule cong :premises (@p5539) :args (@t3312)) % 2.52/2.79 (step @p5541 :rule trans :premises (@p5540 @p5534)) % 2.52/2.79 (step @p5542 :rule cong :premises (@p5541) :args (@t3313)) % 2.52/2.79 (step @p5543 :rule trans :premises (@p5542 @p5533)) % 2.52/2.79 (step @p5544 :rule refl :args (@t449)) % 2.52/2.79 (step @p5545 :rule cong :premises (@p5544 @p5543) :args ((=> @t449 @t3313))) % 2.52/2.79 (step @p5546 :rule trans :premises (@p5545 @p5532)) % 2.52/2.79 (assume-push @p5553 @t449) % 2.52/2.79 (step @p5548 :rule instantiate :premises (@p5531) :args ((@list @t3306 @t3308))) % 2.52/2.79 (step-pop @p5554 :rule scope :premises (@p5548)) % 2.52/2.79 (step @p5549 :rule process_scope :premises (@p5554) :args (@t3313)) % 2.52/2.79 (step @p5551 :rule eq_resolve :premises (@p5549 @p5546)) % 2.52/2.79 (step @p5552 false :rule chain_m_resolution :premises (@p5551 @p5531) :args (false (@list false) (@list @t449))) % 2.52/2.79 ) % 2.52/2.79 % SZS output end Proof % 2.52/2.79 % cvc5 exiting %------------------------------------------------------------------------------