%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO877^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 150.86s 151.55s % Output : Proof 150.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO877^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n014.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 01:04:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.39/0.57 %----Proving TH0 % 150.86/151.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.86/151.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 150.86/151.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 150.86/151.55 --- Run --ho-elim --full-saturate-quant at 18s... % 150.86/151.55 % SZS status Theorem % 150.86/151.55 % SZS output start Proof % 150.86/151.55 ( % 150.86/151.55 (declare-sort $$unsorted 0) % 150.86/151.55 (declare-const tptp.c_False Bool) % 150.86/151.55 (declare-const tptp.c_In (-> $$unsorted $$unsorted Bool)) % 150.86/151.55 (declare-const tptp.c_Power (-> $$unsorted $$unsorted)) % 150.86/151.55 (declare-const tptp.c_Eps_i (-> (-> $$unsorted Bool) $$unsorted)) % 150.86/151.55 (declare-const tptp.c_Empty $$unsorted) % 150.86/151.55 (declare-const tptp.c_Repl (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 150.86/151.55 (declare-const tptp.c_Union (-> $$unsorted $$unsorted)) % 150.86/151.55 (declare-const tptp.c_Inj1 (-> $$unsorted $$unsorted)) % 150.86/151.55 (declare-const tptp.c_Unj (-> $$unsorted $$unsorted)) % 150.86/151.55 (declare-const tptp.c_V_ (-> $$unsorted $$unsorted)) % 150.86/151.55 (declare-const tptp.c_True Bool) % 150.86/151.55 (define tptp.c_not () (let ((_let_1 (@var "X0" Bool))) (lambda (@list _let_1) (=> _let_1 tptp.c_False)))) % 150.86/151.55 (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))))))) % 150.86/151.55 (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)))))))) % 150.86/151.55 (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)))))) % 150.86/151.55 (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" $$unsorted))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 150.86/151.55 (define tptp.c_TransSet () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_2) (=> (_ (_ tptp.c_In _let_2) _let_1) (_ (_ tptp.c_Subq _let_2) _let_1))))))) % 150.86/151.55 (define tptp.c_atleast2 () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_1) _let_2)) (_ tptp.c_not (_ (_ tptp.c_Subq _let_2) (_ tptp.c_Power _let_1))))))))) % 150.86/151.55 (define tptp.c_atleast3 () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_Subq _let_1) _let_2)) (_ (_ tptp.c_and (_ tptp.c_not (_ (_ tptp.c_Subq _let_2) _let_1))) (_ tptp.c_atleast2 _let_1)))))))) % 150.86/151.55 (define tptp.c_atleast4 () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_Subq _let_1) _let_2)) (_ (_ tptp.c_and (_ tptp.c_not (_ (_ tptp.c_Subq _let_2) _let_1))) (_ tptp.c_atleast3 _let_1)))))))) % 150.86/151.55 (define tptp.c_atleast5 () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_Subq _let_1) _let_2)) (_ (_ tptp.c_and (_ tptp.c_not (_ (_ tptp.c_Subq _let_2) _let_1))) (_ tptp.c_atleast4 _let_1)))))))) % 150.86/151.55 (define tptp.c_atleast6 () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_Subq _let_1) _let_2)) (_ (_ tptp.c_and (_ tptp.c_not (_ (_ tptp.c_Subq _let_2) _let_1))) (_ tptp.c_atleast5 _let_1)))))))) % 150.86/151.55 (define tptp.c_exactly2 () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_atleast2 _let_1)) (_ tptp.c_not (_ tptp.c_atleast3 _let_1)))))) % 150.86/151.55 (define tptp.c_exactly3 () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_atleast3 _let_1)) (_ tptp.c_not (_ tptp.c_atleast4 _let_1)))))) % 150.86/151.55 (define tptp.c_exactly4 () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_atleast4 _let_1)) (_ tptp.c_not (_ tptp.c_atleast5 _let_1)))))) % 150.86/151.55 (define tptp.c_exactly5 () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_atleast5 _let_1)) (_ tptp.c_not (_ tptp.c_atleast6 _let_1)))))) % 150.86/151.55 (define tptp.c_exu_i () (let ((_let_1 (@var "X2" $$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))))))))))) % 150.86/151.55 (define tptp.c_reflexive_i () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 150.86/151.55 (define tptp.c_irreflexive_i () (let ((_let_1 (@var "X1" $$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))))))) % 150.86/151.55 (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)))))))) % 150.86/151.55 (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))))))))) % 150.86/151.55 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (_ _let_4 _let_5) (=> (_ (_ _let_3 _let_5) _let_1) (_ _let_4 _let_1))))))))))) % 150.86/151.55 (define tptp.c_eqreln_i () (let ((_let_1 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ tptp.c_reflexive_i _let_1)) (_ tptp.c_symmetric_i _let_1))) (_ tptp.c_transitive_i _let_1))))) % 150.86/151.55 (define tptp.c_per_i () (let ((_let_1 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_symmetric_i _let_1)) (_ tptp.c_transitive_i _let_1))))) % 150.86/151.55 (define tptp.c_linear_i () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (_ (_ tptp.c_or (_ (_ _let_3 _let_1) _let_2)) (_ (_ _let_3 _let_2) _let_1)))))))) % 150.86/151.55 (define tptp.c_trichotomous_or_i () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (_ (_ tptp.c_or (_ (_ tptp.c_or (_ (_ _let_3 _let_1) _let_2)) (= _let_1 _let_2))) (_ (_ _let_3 _let_2) _let_1)))))))) % 150.86/151.55 (define tptp.c_partialorder_i () (let ((_let_1 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ tptp.c_reflexive_i _let_1)) (_ tptp.c_antisymmetric_i _let_1))) (_ tptp.c_transitive_i _let_1))))) % 150.86/151.55 (define tptp.c_totalorder_i () (let ((_let_1 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_partialorder_i _let_1)) (_ tptp.c_linear_i _let_1))))) % 150.86/151.55 (define tptp.c_strictpartialorder_i () (let ((_let_1 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_irreflexive_i _let_1)) (_ tptp.c_transitive_i _let_1))))) % 150.86/151.55 (define tptp.c_stricttotalorder_i () (let ((_let_1 (@var "X0" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (_ (_ tptp.c_and (_ tptp.c_strictpartialorder_i _let_1)) (_ tptp.c_trichotomous_or_i _let_1))))) % 150.86/151.55 (define tptp.c_If_i () (let ((_let_1 (@var "X2" $$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))))))))))) % 150.86/151.55 (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)))))) % 150.86/151.55 (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))))))) % 150.86/151.55 (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)))))) % 150.86/151.55 (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)))))) % 150.86/151.55 (define tptp.c_UPair () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (let ((_let_3 (@var "X2" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ tptp.c_Repl (_ tptp.c_Power (_ tptp.c_Power tptp.c_Empty))) (lambda (@list _let_3) (_ (_ (_ tptp.c_If_i (_ (_ tptp.c_In tptp.c_Empty) _let_3)) _let_2) _let_1)))))))) % 150.86/151.55 (define tptp.c_Sing () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.c_UPair _let_1) _let_1)))) % 150.86/151.55 (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)))))) % 150.86/151.55 (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)))))) % 150.86/151.55 (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))))))))) % 150.86/151.55 (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" $$unsorted))) (let ((_let_6 (@list _let_1))) (lambda (@list _let_4 _let_3) (_ (_ (_ tptp.c_If_i (exists _let_6 (_ (_ tptp.c_and (_ (_ tptp.c_In _let_1) _let_4)) (_ _let_3 _let_1)))) (_ (_ tptp.c_Repl _let_4) (lambda _let_6 (_ (lambda (@list _let_5) (_ (_ (_ tptp.c_If_i (_ _let_3 _let_5)) _let_5) (_ tptp.c_Eps_i (lambda (@list _let_2) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_2) _let_4)) (_ _let_3 _let_2)))))) _let_1)))) tptp.c_Empty))))))))) % 150.86/151.55 (define tptp.c_ReplSep () (let ((_let_1 (@var "X3" $$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)))))))))) % 150.86/151.55 (define tptp.c_binintersect () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_1) (_ (_ tptp.c_Sep _let_3) (lambda (@list _let_2) (_ (_ tptp.c_In _let_2) _let_1)))))))) % 150.86/151.55 (define tptp.c_setminus () (let ((_let_1 (@var "X1" $$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)))))))) % 150.86/151.55 (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))))))))))))))))) % 150.86/151.55 (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))))))))))))) % 150.86/151.55 (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))))))) % 150.86/151.55 (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))))))) % 150.86/151.55 (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)))))))))))) % 150.86/151.55 (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)))))))) % 150.86/151.55 (define tptp.c_ordsucc () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.c_binunion _let_1) (_ tptp.c_Sing _let_1))))) % 150.86/151.55 (define tptp.c_nat_p () (let ((_let_1 (@var "X0" $$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))))))))) % 150.86/151.55 (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))))))))) % 150.86/151.55 (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)))))) % 150.86/151.55 (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)))))) % 150.86/151.55 (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)))))))) % 150.86/151.55 (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))))))) % 150.86/151.55 (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" $$unsorted) _let_4 _let_3 _let_1) (_ (_ (_ tptp.c_If_i (= _let_1 (_ tptp.c_Inj0 _let_2))) (_ _let_4 _let_2)) (_ _let_3 _let_2)))))))) % 150.86/151.55 (define tptp.c_setsum () (let ((_let_1 (@var "X2" $$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)))))))))) % 150.86/151.55 (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" $$unsorted))) (lambda (@list _let_4) (_ (_ (_ tptp.c_ReplSep _let_4) (lambda _let_2 (exists (@list _let_3) (= (_ tptp.c_Inj0 _let_3) _let_1)))) (lambda _let_2 (_ tptp.c_Unj _let_1))))))))) % 150.86/151.55 (define tptp.c_proj1 () (let ((_let_1 (@var "X1" $$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))))))))) % 150.86/151.55 (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)))))) % 150.86/151.55 (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" $$unsorted))) (lambda (@list _let_4 _let_3) (_ (_ tptp.c_famunion _let_4) (lambda (@list _let_2) (_ (_ tptp.c_Repl (_ _let_3 _let_2)) (lambda (@list _let_1) (_ (_ tptp.c_setsum _let_2) _let_1))))))))))) % 150.86/151.55 (define tptp.c_setprod () (let ((_let_1 (@var "X1" $$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)))))) % 150.86/151.55 (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)))))))))) % 150.86/151.55 (define tptp.c_setsum_p () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (_ tptp.c_ap _let_1))) (lambda (@list _let_1) (= (_ (_ tptp.c_setsum (_ _let_2 tptp.c_Empty)) (_ _let_2 (_ tptp.c_ordsucc tptp.c_Empty))) _let_1))))) % 150.86/151.55 (define tptp.c_tuple_p () (let ((_let_1 (@var "X4" $$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)))))))))))))) % 150.86/151.55 (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" $$unsorted))) (let ((_let_5 (@list _let_3))) (lambda (@list _let_4 _let_2) (_ (_ tptp.c_Sep (_ tptp.c_Power (_ (_ tptp.c_lam _let_4) (lambda _let_5 (_ tptp.c_Union (_ _let_2 _let_3)))))) (lambda _let_5 (forall (@list _let_1) (=> (_ (_ tptp.c_In _let_1) _let_4) (_ (_ tptp.c_In (_ (_ tptp.c_ap _let_3) _let_1)) (_ _let_2 _let_1))))))))))))) % 150.86/151.55 (define tptp.c_setexp () (let ((_let_1 (@var "X0" $$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)))))) % 150.86/151.55 (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))))))))))))) % 150.86/151.55 (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" $$unsorted))) (lambda (@list _let_5) (forall (@list _let_4) (=> (_ (_ tptp.c_In _let_4) _let_5) (exists (@list _let_2 _let_1) (= _let_4 (_ (_ tptp.c_lam (_ tptp.c_ordsucc (_ tptp.c_ordsucc tptp.c_Empty))) (lambda (@list _let_3) (_ (_ (_ tptp.c_If_i (= _let_3 tptp.c_Empty)) _let_2) _let_1)))))))))))))) % 150.86/151.55 (define tptp.c_lam2 () (let ((_let_1 (@var "X4" $$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" $$unsorted))) (lambda (@list _let_5 _let_4 _let_3) (_ (_ tptp.c_lam _let_5) (lambda (@list _let_2) (_ (_ tptp.c_lam (_ _let_4 _let_2)) (lambda (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 150.86/151.55 (define tptp.c_PNoEq_ () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X2" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4 _let_3 _let_2) (forall (@list _let_1) (=> (_ (_ tptp.c_In _let_1) _let_4) (_ (_ tptp.c_iff (_ _let_3 _let_1)) (_ _let_2 _let_1)))))))))) % 150.86/151.55 (define tptp.c_PNoLt_ () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X2" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4 _let_3 _let_2) (exists (@list _let_1) (_ (_ tptp.c_and (_ (_ tptp.c_In _let_1) _let_4)) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ (_ tptp.c_PNoEq_ _let_1) _let_3) _let_2)) (_ tptp.c_not (_ _let_3 _let_1)))) (_ _let_2 _let_1)))))))))) % 150.86/151.55 (define tptp.c_PNoLt () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X3" (-> $$unsorted Bool)))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4 _let_2 _let_1 _let_3) (_ (_ tptp.c_or (_ (_ tptp.c_or (_ (_ (_ tptp.c_PNoLt_ (_ (_ tptp.c_binintersect _let_4) _let_1)) _let_2) _let_3)) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_In _let_4) _let_1)) (_ (_ (_ tptp.c_PNoEq_ _let_4) _let_2) _let_3))) (_ _let_3 _let_4)))) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_In _let_1) _let_4)) (_ (_ (_ tptp.c_PNoEq_ _let_1) _let_2) _let_3))) (_ tptp.c_not (_ _let_2 _let_1)))))))))) % 150.86/151.55 (define tptp.c_PNoLe () (let ((_let_1 (@var "X3" (-> $$unsorted Bool)))) (let ((_let_2 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X0" $$unsorted))) (let ((_let_4 (@var "X2" $$unsorted))) (lambda (@list _let_3 _let_2 _let_4 _let_1) (_ (_ tptp.c_or (_ (_ (_ (_ tptp.c_PNoLt _let_3) _let_2) _let_4) _let_1)) (_ (_ tptp.c_and (= _let_3 _let_4)) (_ (_ (_ tptp.c_PNoEq_ _let_3) _let_2) _let_1))))))))) % 150.86/151.55 (define tptp.c_PNo_downc () (let ((_let_1 (@var "X4" (-> $$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 (-> $$unsorted Bool) Bool)))) (lambda (@list _let_5 _let_4 _let_3) (exists (@list _let_2) (_ (_ tptp.c_and (_ tptp.c_ordinal _let_2)) (exists (@list _let_1) (_ (_ tptp.c_and (_ (_ _let_5 _let_2) _let_1)) (_ (_ (_ (_ tptp.c_PNoLe _let_4) _let_3) _let_2) _let_1)))))))))))) % 150.86/151.55 (define tptp.c_PNo_upc () (let ((_let_1 (@var "X2" (-> $$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 (-> $$unsorted Bool) Bool)))) (lambda (@list _let_5 _let_2 _let_1) (exists (@list _let_4) (_ (_ tptp.c_and (_ tptp.c_ordinal _let_4)) (exists (@list _let_3) (_ (_ tptp.c_and (_ (_ _let_5 _let_4) _let_3)) (_ (_ (_ (_ tptp.c_PNoLe _let_4) _let_3) _let_2) _let_1)))))))))))) % 150.86/151.55 (define tptp.c_SNoElts_ () (let ((_let_1 (@var "X1" $$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))))))))) % 150.86/151.55 (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)))))))))))) % 150.86/151.55 (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)))))))))))) % 150.86/151.55 (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))))))) % 150.86/151.55 (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)))))))) % 150.86/151.55 (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))))))))))) % 150.86/151.55 (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" $$unsorted))) (lambda (@list _let_5 _let_1) (_ (_ (_ (_ tptp.c_PNoLt (_ tptp.c_SNoLev _let_5)) (lambda _let_4 (_ _let_3 _let_5))) (_ tptp.c_SNoLev _let_1)) (lambda _let_4 (_ _let_3 _let_1)))))))))) % 150.86/151.55 (define tptp.c_SNoLe () (let ((_let_1 (@var "X1" $$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)))))))))) % 150.86/151.55 (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))))))))))) % 150.86/151.55 (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" $$unsorted))) (let ((_let_13 (_ tptp.c_binop_on _let_9))) (lambda (@list _let_9 _let_4 _let_7 _let_3 _let_12) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ _let_13 _let_4)) (_ _let_13 _let_7))) (_ _let_13 _let_3))) (forall _let_11 (=> _let_10 (_ (_ tptp.c_and (= (_ (_ _let_4 _let_12) _let_1) _let_1)) (= (_ _let_5 _let_12) _let_1)))))) (forall _let_11 (=> _let_10 (forall (@list _let_2) (=> (_ (_ tptp.c_In _let_2) _let_9) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (= (_ _let_8 _let_6) _let_2)) (= (_ _let_5 (_ _let_8 _let_2)) _let_2))) (= (_ (_ _let_3 _let_6) _let_2) _let_1))) (= (_ (_ _let_4 (_ (_ _let_3 _let_1) _let_2)) _let_2) _let_1)))))))))))))))))))))) % 150.86/151.55 (define tptp.c_Loop_with_defs () (let ((_let_1 (@var "X15" $$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 $$unsorted)))) (lambda (@list _let_14 _let_3 _let_11 _let_7 _let_21 _let_32 _let_31 _let_30 _let_13 _let_8 _let_29 _let_28 _let_27 _let_24) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ (_ (_ (_ tptp.c_Loop _let_14) _let_3) _let_11) _let_7) _let_21)) (forall _let_20 (=> _let_19 (forall _let_18 (=> _let_17 (= (_ (_ _let_32 _let_2) _let_1) (_ _let_12 _let_5)))))))) (forall _let_20 (=> _let_19 (forall _let_18 (=> _let_17 (forall _let_16 (=> _let_15 (= (_ (_ (_ _let_31 _let_2) _let_1) _let_6) (_ (_ _let_11 (_ _let_4 (_ _let_9 _let_6))) (_ (_ _let_3 _let_5) _let_6))))))))))) (forall _let_20 (=> _let_19 (forall _let_18 (=> _let_17 (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (= (_ (_ _let_30 _let_2) _let_1) (_ _let_25 _let_10))) (= (_ (_ _let_29 _let_2) _let_1) (_ _let_4 (_ _let_9 _let_26))))) (= (_ (_ _let_28 _let_2) _let_1) (_ (_ _let_3 (_ (_ _let_3 _let_23) _let_1)) _let_2)))) (= (_ (_ _let_27 _let_2) _let_1) (_ (_ _let_3 (_ _let_25 _let_1)) (_ (_ _let_11 _let_26) _let_21))))) (= (_ (_ _let_24 _let_2) _let_1) (_ (_ _let_3 (_ _let_22 _let_23)) (_ (_ _let_7 _let_1) _let_2)))))))))) (forall _let_20 (=> _let_19 (forall _let_18 (=> _let_17 (forall _let_16 (=> _let_15 (_ (_ tptp.c_and (= (_ (_ (_ _let_13 _let_2) _let_1) _let_6) (_ _let_12 (_ _let_9 (_ _let_4 _let_6))))) (= (_ (_ (_ _let_8 _let_2) _let_1) _let_6) (_ (_ _let_7 (_ (_ _let_3 (_ (_ _let_3 _let_6) _let_2)) _let_1)) _let_5)))))))))))))))))))))))))))))))))))))))))))) % 150.86/151.55 (define tptp.c_Loop_with_defs_cex1 () (let ((_let_1 (@var "X4" $$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))))))))))))))))))))))))))))))) % 150.86/151.55 (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)))))))))))))))))))))))))))))))))) % 150.86/151.55 (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))))))))))) % 150.86/151.55 (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" $$unsorted))) (let ((_let_12 (_ _let_5 _let_9))) (let ((_let_13 (_ tptp.c_combinator _let_9))) (lambda (@list _let_4 _let_3) (forall (@list _let_5) (_ (_ (_ (lambda (@list _let_2 _let_1 _let_8) (=> (_ tptp.c_per_i _let_5) (=> (forall (@list _let_9) (=> _let_13 (_ _let_12 _let_9))) (=> (forall (@list _let_9 _let_7 _let_6 _let_11) (=> _let_13 (=> (_ tptp.c_combinator _let_7) (=> (_ tptp.c_combinator _let_6) (=> (_ tptp.c_combinator _let_11) (=> (_ _let_12 _let_6) (=> (_ (_ _let_5 _let_7) _let_11) (_ (_ _let_5 (_ _let_10 _let_7)) (_ (_ _let_8 _let_6) _let_11))))))))) (=> (forall (@list _let_9 _let_7) (_ (_ _let_5 (_ (_ _let_8 (_ (_ _let_8 _let_2) _let_9)) _let_7)) _let_9)) (=> (forall (@list _let_9 _let_7 _let_6) (_ (_ _let_5 (_ (_ _let_8 (_ (_ _let_8 (_ (_ _let_8 _let_1) _let_9)) _let_7)) _let_6)) (_ (_ _let_8 (_ _let_10 _let_6)) (_ (_ _let_8 _let_7) _let_6)))) (_ (_ _let_5 _let_4) _let_3))))))) (_ tptp.c_Inj0 tptp.c_Empty)) (_ tptp.c_Inj0 (_ tptp.c_Power tptp.c_Empty))) (lambda (@list _let_2 _let_1) (_ tptp.c_Inj1 (_ (_ tptp.c_setsum _let_2) _let_1)))))))))))))))))))) % 150.86/151.55 (define tptp.c_equip_mod () (let ((_let_1 (@var "X2" $$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))))))))))) % 150.86/151.55 (define @t1 () (@var "X0" (-> $$unsorted Bool))) % 150.86/151.55 (define @t2 () (@var "X1" $$unsorted)) % 150.86/151.55 (define @t3 () (_ @t1 @t2)) % 150.86/151.55 (define @t4 () (@var "X0" Bool)) % 150.86/151.55 (define @t5 () (_ tptp.c_not @t4)) % 150.86/151.55 (define @t6 () (=> (_ tptp.c_not @t5) @t4)) % 150.86/151.55 (define @t7 () (@list @t4)) % 150.86/151.55 (define @t8 () (forall @t7 @t6)) % 150.86/151.55 (define @t9 () (@var "X1" Bool)) % 150.86/151.55 (define @t10 () (@list @t4 @t9)) % 150.86/151.55 (define @t11 () (@var "X0" $$unsorted)) % 150.86/151.55 (define @t12 () (_ tptp.c_Subq @t2)) % 150.86/151.55 (define @t13 () (_ @t12 @t11)) % 150.86/151.55 (define @t14 () (_ tptp.c_Subq @t11)) % 150.86/151.55 (define @t15 () (_ @t14 @t2)) % 150.86/151.55 (define @t16 () (@list @t11 @t2)) % 150.86/151.55 (define @t17 () (_ tptp.c_In @t11)) % 150.86/151.55 (define @t18 () (_ @t17 tptp.c_Empty)) % 150.86/151.55 (define @t19 () (@list @t11)) % 150.86/151.55 (define @t20 () (exists @t19 @t18)) % 150.86/151.55 (define @t21 () (@var "X2" $$unsorted)) % 150.86/151.55 (define @t22 () (_ tptp.c_In @t21)) % 150.86/151.55 (define @t23 () (_ @t22 @t11)) % 150.86/151.55 (define @t24 () (_ tptp.c_In @t2)) % 150.86/151.55 (define @t25 () (@list @t21)) % 150.86/151.55 (define @t26 () (@var "X3" $$unsorted)) % 150.86/151.55 (define @t27 () (@var "X1" (-> $$unsorted $$unsorted))) % 150.86/151.55 (define @t28 () (_ @t27 @t26)) % 150.86/151.55 (define @t29 () (_ tptp.c_In @t26)) % 150.86/151.55 (define @t30 () (_ @t29 @t11)) % 150.86/151.55 (define @t31 () (_ tptp.c_and @t30)) % 150.86/151.55 (define @t32 () (@list @t26)) % 150.86/151.55 (define @t33 () (lambda @t32 @t28)) % 150.86/151.55 (define @t34 () (_ tptp.c_Repl @t11)) % 150.86/151.55 (define @t35 () (@list @t2)) % 150.86/151.55 (define @t36 () (forall @t35 @t3)) % 150.86/151.55 (define @t37 () (@var "X2" (-> $$unsorted $$unsorted))) % 150.86/151.55 (define @t38 () (_ @t37 @t26)) % 150.86/151.55 (define @t39 () (lambda @t32 @t38)) % 150.86/151.55 (define @t40 () (_ tptp.c_Repl @t2)) % 150.86/151.55 (define @t41 () (_ @t29 @t2)) % 150.86/151.55 (define @t42 () (@list @t37)) % 150.86/151.55 (define @t43 () (_ tptp.c_Power @t2)) % 150.86/151.55 (define @t44 () (_ @t1 @t21)) % 150.86/151.55 (define @t45 () (_ @t22 @t2)) % 150.86/151.55 (define @t46 () (forall @t25 (=> @t45 @t44))) % 150.86/151.55 (define @t47 () (@list @t1)) % 150.86/151.55 (define @t48 () (_ @t27 @t21)) % 150.86/151.55 (define @t49 () (_ tptp.c_famunion @t11)) % 150.86/151.55 (define @t50 () (@list @t11 @t27)) % 150.86/151.55 (define @t51 () (lambda @t25 @t48)) % 150.86/151.55 (define @t52 () (_ @t34 @t51)) % 150.86/151.55 (define @t53 () (_ tptp.c_Sing tptp.c_Empty)) % 150.86/151.55 (define @t54 () (@var "X5" $$unsorted)) % 150.86/151.55 (define @t55 () (@var "X4" (-> $$unsorted $$unsorted))) % 150.86/151.55 (define @t56 () (_ @t55 @t54)) % 150.86/151.55 (define @t57 () (@var "X3" (-> $$unsorted Bool))) % 150.86/151.55 (define @t58 () (_ @t57 @t56)) % 150.86/151.55 (define @t59 () (@var "X8" $$unsorted)) % 150.86/151.55 (define @t60 () (@list @t59)) % 150.86/151.55 (define @t61 () (exists @t60 @t58)) % 150.86/151.55 (define @t62 () (@var "X6" $$unsorted)) % 150.86/151.55 (define @t63 () (@var "X7" $$unsorted)) % 150.86/151.55 (define @t64 () (_ @t55 @t62)) % 150.86/151.55 (define @t65 () (@var "X1" (-> $$unsorted $$unsorted $$unsorted))) % 150.86/151.55 (define @t66 () (_ @t65 @t62)) % 150.86/151.55 (define @t67 () (_ @t55 @t63)) % 150.86/151.55 (define @t68 () (_ @t65 @t54)) % 150.86/151.55 (define @t69 () (_ @t68 @t63)) % 150.86/151.55 (define @t70 () (_ @t68 @t54)) % 150.86/151.55 (define @t71 () (_ @t68 @t62)) % 150.86/151.55 (define @t72 () (_ @t65 @t63)) % 150.86/151.55 (define @t73 () (_ @t72 @t54)) % 150.86/151.55 (define @t74 () (_ @t55 @t73)) % 150.86/151.55 (define @t75 () (_ @t65 @t56)) % 150.86/151.55 (define @t76 () (= @t62 (_ (_ @t65 (_ @t68 (_ @t72 (_ (_ @t65 (_ (_ @t65 (_ (_ @t65 (_ @t66 (_ (_ @t65 (_ @t68 (_ @t68 (_ (_ @t65 (_ @t68 (_ @t75 (_ (_ @t65 (_ @t72 (_ @t66 (_ @t66 @t62)))) @t54)))) (_ (_ @t65 (_ @t55 (_ (_ @t65 (_ (_ @t65 @t67) @t54)) @t70))) (_ @t66 (_ @t66 (_ (_ @t65 (_ (_ @t65 (_ @t68 (_ (_ @t65 (_ @t68 (_ (_ @t65 @t64) @t63))) @t74))) @t62)) (_ @t55 (_ (_ @t65 (_ @t72 (_ @t68 (_ (_ @t65 (_ @t55 @t69)) @t54)))) (_ (_ @t65 (_ (_ @t65 (_ @t66 (_ @t75 @t62))) @t62)) (_ @t55 (_ @t55 (_ (_ @t65 (_ (_ @t65 (_ (_ @t65 (_ @t68 (_ (_ @t65 (_ @t66 (_ (_ @t65 @t73) @t63))) @t62))) @t63)) (_ @t72 @t70))) @t62)))))))))))))) (_ (_ @t65 (_ (_ @t65 (_ (_ @t65 (_ (_ @t65 (_ @t66 @t70)) (_ @t55 (_ @t55 (_ @t72 (_ @t55 @t74)))))) @t54)) @t62)) (_ @t66 @t63))))) @t54)) @t54)) @t64)))) (_ (_ @t65 (_ (_ @t65 (_ @t55 (_ (_ @t65 (_ @t55 (_ (_ @t65 (_ (_ @t65 (_ (_ @t65 (_ @t72 (_ (_ @t65 (_ @t55 (_ @t55 (_ (_ @t65 @t71) @t63)))) (_ @t55 @t70)))) @t54)) @t56)) (_ (_ @t65 (_ (_ @t65 (_ (_ @t65 (_ (_ @t65 @t69) (_ @t55 (_ @t55 @t67)))) @t63)) @t62)) @t54)))) (_ (_ @t65 (_ (_ @t65 (_ @t66 @t54)) @t64)) @t62)))) @t63)) @t62)))) % 150.86/151.55 (define @t77 () (@var "X2" (-> $$unsorted Bool))) % 150.86/151.55 (define @t78 () (@var "X0" (-> $$unsorted $$unsorted Bool))) % 150.86/151.55 (define @t79 () (@list @t78 @t65 @t77 @t57 @t55 @t54 @t62 @t63)) % 150.86/151.55 (define @t80 () (forall @t79 (_ (_ tptp.c_and @t76) @t61))) % 150.86/151.55 (define @t81 () (not (_ tptp.c_not @t80))) % 150.86/151.55 (define @t82 () (=> @t4 tptp.c_False)) % 150.86/151.55 (define @t83 () (lambda @t7 @t82)) % 150.86/151.55 (define @t84 () (@var "X2" Bool)) % 150.86/151.55 (define @t85 () (=> @t9 @t84)) % 150.86/151.55 (define @t86 () (=> @t4 @t85)) % 150.86/151.55 (define @t87 () (@list @t84)) % 150.86/151.55 (define @t88 () (forall @t87 (=> @t86 @t84))) % 150.86/151.55 (define @t89 () (lambda @t10 @t88)) % 150.86/151.55 (define @t90 () (lambda @t10 (forall @t87 (=> (=> @t4 @t84) (=> @t85 @t84))))) % 150.86/151.55 (define @t91 () (lambda @t10 (_ (_ tptp.c_and (=> @t4 @t9)) (=> @t9 @t4)))) % 150.86/151.55 (define @t92 () (lambda @t16 (forall @t25 (=> @t23 @t45)))) % 150.86/151.55 (define @t93 () (_ @t24 @t11)) % 150.86/151.55 (define @t94 () (lambda @t19 (forall @t35 (=> @t93 @t13)))) % 150.86/151.55 (define @t95 () (lambda @t19 (exists @t35 (_ (_ tptp.c_and @t93) (_ tptp.c_not (_ @t14 @t43)))))) % 150.86/151.55 (define @t96 () (_ tptp.c_not @t15)) % 150.86/151.55 (define @t97 () (_ tptp.c_and @t96)) % 150.86/151.55 (define @t98 () (_ tptp.c_and @t13)) % 150.86/151.55 (define @t99 () (lambda @t19 (exists @t35 (_ @t98 (_ @t97 (_ tptp.c_atleast2 @t2)))))) % 150.86/151.55 (define @t100 () (lambda @t19 (exists @t35 (_ @t98 (_ @t97 (_ tptp.c_atleast3 @t2)))))) % 150.86/151.55 (define @t101 () (lambda @t19 (exists @t35 (_ @t98 (_ @t97 (_ tptp.c_atleast4 @t2)))))) % 150.86/151.55 (define @t102 () (lambda @t19 (exists @t35 (_ @t98 (_ @t97 (_ tptp.c_atleast5 @t2)))))) % 150.86/151.55 (define @t103 () (_ tptp.c_atleast3 @t11)) % 150.86/151.55 (define @t104 () (lambda @t19 (_ (_ tptp.c_and (_ tptp.c_atleast2 @t11)) (_ tptp.c_not @t103)))) % 150.86/151.55 (define @t105 () (_ tptp.c_atleast4 @t11)) % 150.86/151.55 (define @t106 () (lambda @t19 (_ (_ tptp.c_and @t103) (_ tptp.c_not @t105)))) % 150.86/151.55 (define @t107 () (_ tptp.c_atleast5 @t11)) % 150.86/151.55 (define @t108 () (lambda @t19 (_ (_ tptp.c_and @t105) (_ tptp.c_not @t107)))) % 150.86/151.55 (define @t109 () (lambda @t19 (_ (_ tptp.c_and @t107) (_ tptp.c_not (_ tptp.c_atleast6 @t11))))) % 150.86/151.55 (define @t110 () (= @t2 @t21)) % 150.86/151.55 (define @t111 () (@list @t2 @t21)) % 150.86/151.55 (define @t112 () (lambda @t47 (_ (_ tptp.c_and (exists @t35 @t3)) (forall @t111 (=> @t3 (=> @t44 @t110)))))) % 150.86/151.55 (define @t113 () (_ @t78 @t2)) % 150.86/151.55 (define @t114 () (_ @t113 @t2)) % 150.86/151.55 (define @t115 () (@list @t78)) % 150.86/151.55 (define @t116 () (lambda @t115 (forall @t35 @t114))) % 150.86/151.55 (define @t117 () (lambda @t115 (forall @t35 (_ tptp.c_not @t114)))) % 150.86/151.55 (define @t118 () (_ @t78 @t21)) % 150.86/151.55 (define @t119 () (_ @t118 @t2)) % 150.86/151.55 (define @t120 () (_ @t113 @t21)) % 150.86/151.55 (define @t121 () (lambda @t115 (forall @t111 (=> @t120 @t119)))) % 150.86/151.55 (define @t122 () (lambda @t115 (forall @t111 (=> @t120 (=> @t119 @t110))))) % 150.86/151.55 (define @t123 () (lambda @t115 (forall (@list @t2 @t21 @t26) (=> @t120 (=> (_ @t118 @t26) (_ @t113 @t26)))))) % 150.86/151.55 (define @t124 () (_ tptp.c_transitive_i @t78)) % 150.86/151.55 (define @t125 () (_ tptp.c_symmetric_i @t78)) % 150.86/151.55 (define @t126 () (_ tptp.c_and (_ tptp.c_reflexive_i @t78))) % 150.86/151.55 (define @t127 () (lambda @t115 (_ (_ tptp.c_and (_ @t126 @t125)) @t124))) % 150.86/151.55 (define @t128 () (lambda @t115 (_ (_ tptp.c_and @t125) @t124))) % 150.86/151.55 (define @t129 () (_ tptp.c_or @t120)) % 150.86/151.55 (define @t130 () (lambda @t115 (forall @t111 (_ @t129 @t119)))) % 150.86/151.55 (define @t131 () (lambda @t115 (forall @t111 (_ (_ tptp.c_or (_ @t129 @t110)) @t119)))) % 150.86/151.55 (define @t132 () (lambda @t115 (_ (_ tptp.c_and (_ @t126 (_ tptp.c_antisymmetric_i @t78))) @t124))) % 150.86/151.55 (define @t133 () (lambda @t115 (_ (_ tptp.c_and (_ tptp.c_partialorder_i @t78)) (_ tptp.c_linear_i @t78)))) % 150.86/151.55 (define @t134 () (lambda @t115 (_ (_ tptp.c_and (_ tptp.c_irreflexive_i @t78)) @t124))) % 150.86/151.55 (define @t135 () (lambda @t115 (_ (_ tptp.c_and (_ tptp.c_strictpartialorder_i @t78)) (_ tptp.c_trichotomous_or_i @t78)))) % 150.86/151.55 (define @t136 () (_ tptp.c_and @t5)) % 150.86/151.55 (define @t137 () (_ tptp.c_and @t4)) % 150.86/151.55 (define @t138 () (lambda (@list @t4 @t2 @t21) (_ tptp.c_Eps_i (lambda @t32 (_ (_ tptp.c_or (_ @t137 (= @t26 @t2))) (_ @t136 (= @t26 @t21))))))) % 150.86/151.55 (define @t139 () (_ tptp.c_not @t9)) % 150.86/151.55 (define @t140 () (lambda @t10 (_ (_ tptp.c_or (_ @t137 @t139)) (_ @t136 @t9)))) % 150.86/151.55 (define @t141 () (lambda (@list @t4 @t9 @t84) (_ (_ tptp.c_or (_ (_ tptp.c_and (_ (_ tptp.c_exactly1of2 @t4) @t9)) (_ tptp.c_not @t84))) (_ (_ tptp.c_and (_ @t136 @t139)) @t84)))) % 150.86/151.55 (define @t142 () (lambda @t16 (_ tptp.c_not (_ @t17 @t2)))) % 150.86/151.55 (define @t143 () (lambda @t16 @t96)) % 150.86/151.55 (define @t144 () (_ tptp.c_Power tptp.c_Empty)) % 150.86/151.55 (define @t145 () (lambda @t16 (_ (_ tptp.c_Repl (_ tptp.c_Power @t144)) (lambda @t25 (_ (_ (_ tptp.c_If_i (_ (_ tptp.c_In tptp.c_Empty) @t21)) @t11) @t2))))) % 150.86/151.55 (define @t146 () (_ tptp.c_UPair @t11)) % 150.86/151.55 (define @t147 () (lambda @t19 (_ @t146 @t11))) % 150.86/151.55 (define @t148 () (lambda @t16 (_ tptp.c_Union (_ @t146 @t2)))) % 150.86/151.55 (define @t149 () (_ tptp.c_binunion @t11)) % 150.86/151.55 (define @t150 () (lambda @t16 (_ @t149 (_ tptp.c_Sing @t2)))) % 150.86/151.55 (define @t151 () (lambda @t50 (_ tptp.c_Union @t52))) % 150.86/151.55 (define @t152 () (@var "X4" $$unsorted)) % 150.86/151.55 (define @t153 () (@var "X1" (-> $$unsorted Bool))) % 150.86/151.55 (define @t154 () (_ (_ tptp.c_In @t152) @t11)) % 150.86/151.55 (define @t155 () (_ tptp.c_and @t154)) % 150.86/151.55 (define @t156 () (@list @t152)) % 150.86/151.55 (define @t157 () (_ @t153 @t26)) % 150.86/151.55 (define @t158 () (_ @t153 @t21)) % 150.86/151.55 (define @t159 () (_ tptp.c_and @t23)) % 150.86/151.55 (define @t160 () (@list @t11 @t153)) % 150.86/151.55 (define @t161 () (lambda @t160 (_ (_ (_ tptp.c_If_i (exists @t25 (_ @t159 @t158))) (_ @t34 (lambda @t25 (_ (lambda @t32 (_ (_ (_ tptp.c_If_i @t157) @t26) (_ tptp.c_Eps_i (lambda @t156 (_ @t155 (_ @t153 @t152)))))) @t21)))) tptp.c_Empty))) % 150.86/151.55 (define @t162 () (_ tptp.c_Sep @t11)) % 150.86/151.55 (define @t163 () (lambda (@list @t11 @t153 @t37) (_ (_ tptp.c_Repl (_ @t162 (lambda @t32 @t157))) @t39))) % 150.86/151.55 (define @t164 () (lambda @t25 @t45)) % 150.86/151.55 (define @t165 () (lambda @t16 (_ @t162 @t164))) % 150.86/151.55 (define @t166 () (lambda @t16 (_ @t162 (lambda @t25 (_ (_ tptp.c_nIn @t21) @t2))))) % 150.86/151.55 (define @t167 () (_ @t37 @t152)) % 150.86/151.55 (define @t168 () (@list @t11 @t2 @t37)) % 150.86/151.55 (define @t169 () (lambda @t168 (_ (_ tptp.c_and (forall @t32 (=> @t30 (_ (_ tptp.c_In @t38) @t2)))) (forall @t32 (=> @t30 (forall @t156 (=> @t154 (=> (= @t38 @t167) (= @t26 @t152))))))))) % 150.86/151.55 (define @t170 () (_ (_ (_ tptp.c_inj @t11) @t2) @t37)) % 150.86/151.55 (define @t171 () (lambda @t168 (_ (_ tptp.c_and @t170) (forall @t32 (=> @t41 (exists @t156 (_ @t155 (= @t167 @t26)))))))) % 150.86/151.55 (define @t172 () (lambda @t16 (exists @t42 @t170))) % 150.86/151.55 (define @t173 () (lambda @t16 (exists @t42 (_ (_ (_ tptp.c_bij @t11) @t2) @t37)))) % 150.86/151.55 (define @t174 () (@var "X3" (-> $$unsorted $$unsorted Bool))) % 150.86/151.55 (define @t175 () (@var "X5" (-> $$unsorted $$unsorted))) % 150.86/151.55 (define @t176 () (@var "X0" (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted))) % 150.86/151.55 (define @t177 () (_ tptp.c_In @t62)) % 150.86/151.55 (define @t178 () (@list @t62)) % 150.86/151.55 (define @t179 () (lambda (@list @t176 @t2 @t21) (forall (@list @t174) (=> (forall (@list @t152 @t175) (=> (forall @t178 (=> (_ @t177 @t152) (_ (_ @t174 @t62) (_ @t175 @t62)))) (_ (_ @t174 @t152) (_ (_ @t176 @t152) @t175)))) (_ (_ @t174 @t2) @t21))))) % 150.86/151.55 (define @t180 () (lambda (@list @t176 @t2) (_ tptp.c_Eps_i (lambda @t25 (_ (_ (_ tptp.c_In_rec_poly_G_i @t176) @t2) @t21))))) % 150.86/151.55 (define @t181 () (lambda @t19 (_ @t149 (_ tptp.c_Sing @t11)))) % 150.86/151.55 (define @t182 () (_ @t153 @t11)) % 150.86/151.55 (define @t183 () (@list @t153)) % 150.86/151.55 (define @t184 () (lambda @t19 (forall @t183 (=> (_ @t153 tptp.c_Empty) (=> (forall @t25 (=> @t158 (_ @t153 (_ tptp.c_ordsucc @t21)))) @t182))))) % 150.86/151.55 (define @t185 () (@var "__flatten_var_0" $$unsorted)) % 150.86/151.55 (define @t186 () (_ tptp.c_Union @t21)) % 150.86/151.55 (define @t187 () (@var "X3" (-> $$unsorted $$unsorted))) % 150.86/151.55 (define @t188 () (lambda (@list @t11 @t65 @t185) (_ (_ tptp.c_In_rec_poly_i (lambda (@list @t21 @t187) (_ (_ (_ tptp.c_If_i (_ (_ tptp.c_In @t186) @t21)) (_ (_ @t65 @t186) (_ @t187 @t186))) @t11))) @t185))) % 150.86/151.55 (define @t189 () (@list @t21 @t26)) % 150.86/151.55 (define @t190 () (lambda @t16 (_ (_ (_ tptp.c_nat_primrec @t11) (lambda @t189 (_ tptp.c_ordsucc @t26))) @t2))) % 150.86/151.55 (define @t191 () (lambda @t16 (_ (_ (_ tptp.c_nat_primrec tptp.c_Empty) (lambda @t189 (_ (_ tptp.c_add_nat @t11) @t26))) @t2))) % 150.86/151.55 (define @t192 () (lambda @t19 (_ (_ tptp.c_and (_ tptp.c_TransSet @t11)) (forall @t35 (=> @t93 (_ tptp.c_TransSet @t2)))))) % 150.86/151.55 (define @t193 () (lambda @t19 (_ @t34 (lambda @t35 (_ tptp.c_Inj1 @t2))))) % 150.86/151.55 (define @t194 () (_ tptp.c_Unj @t152)) % 150.86/151.55 (define @t195 () (lambda (@list @t11 @t2 @t37 @t187 @t152) (_ (_ (_ tptp.c_If_i (= @t152 (_ tptp.c_Inj0 @t194))) (_ @t37 @t194)) (_ @t187 @t194)))) % 150.86/151.55 (define @t196 () (_ tptp.c_Inj1 @t21)) % 150.86/151.55 (define @t197 () (_ tptp.c_Inj0 @t21)) % 150.86/151.55 (define @t198 () (lambda @t16 (_ (_ tptp.c_binunion (_ @t34 (lambda @t25 @t197))) (_ @t40 (lambda @t25 @t196))))) % 150.86/151.55 (define @t199 () (lambda @t35 (_ tptp.c_Unj @t2))) % 150.86/151.55 (define @t200 () (_ tptp.c_ReplSep @t11)) % 150.86/151.55 (define @t201 () (lambda @t19 (_ (_ @t200 (lambda @t35 (exists @t25 (= @t197 @t2)))) @t199))) % 150.86/151.55 (define @t202 () (lambda @t19 (_ (_ @t200 (lambda @t35 (exists @t25 (= @t196 @t2)))) @t199))) % 150.86/151.55 (define @t203 () (_ tptp.c_setsum @t11)) % 150.86/151.55 (define @t204 () (lambda @t16 (_ @t203 @t43))) % 150.86/151.55 (define @t205 () (_ (_ tptp.c_setsum @t21) @t26)) % 150.86/151.55 (define @t206 () (lambda @t50 (_ @t49 (lambda @t25 (_ (_ tptp.c_Repl @t48) (lambda @t32 @t205)))))) % 150.86/151.55 (define @t207 () (_ tptp.c_lam @t11)) % 150.86/151.55 (define @t208 () (lambda @t16 (_ @t207 (lambda @t25 @t2)))) % 150.86/151.55 (define @t209 () (_ (_ tptp.c_setsum @t2) @t26)) % 150.86/151.55 (define @t210 () (lambda @t16 (_ (_ @t200 (lambda @t25 (exists @t32 (= @t21 @t209)))) (lambda @t25 (_ tptp.c_proj1 @t21))))) % 150.86/151.55 (define @t211 () (_ tptp.c_ordsucc tptp.c_Empty)) % 150.86/151.55 (define @t212 () (_ tptp.c_ap @t11)) % 150.86/151.55 (define @t213 () (lambda @t19 (= (_ (_ tptp.c_setsum (_ @t212 tptp.c_Empty)) (_ @t212 @t211)) @t11))) % 150.86/151.55 (define @t214 () (_ (_ tptp.c_setsum @t26) @t152)) % 150.86/151.55 (define @t215 () (lambda @t16 (forall @t25 (=> @t45 (exists @t32 (_ @t31 (exists @t156 (= @t21 @t214)))))))) % 150.86/151.55 (define @t216 () (lambda @t50 (_ (_ tptp.c_Sep (_ tptp.c_Power (_ @t207 (lambda @t25 (_ tptp.c_Union @t48))))) (lambda @t25 (forall @t32 (=> @t30 (_ (_ tptp.c_In (_ (_ tptp.c_ap @t21) @t26)) @t28))))))) % 150.86/151.55 (define @t217 () (lambda @t16 (_ (_ tptp.c_Pi @t2) (lambda @t25 @t11)))) % 150.86/151.55 (define @t218 () (_ tptp.c_ap @t26)) % 150.86/151.55 (define @t219 () (@var "X2" (-> $$unsorted $$unsorted Bool))) % 150.86/151.55 (define @t220 () (lambda (@list @t11 @t27 @t219) (_ (_ tptp.c_Sep (_ @t207 @t33)) (lambda @t32 (_ (_ @t219 (_ @t218 tptp.c_Empty)) (_ @t218 @t211)))))) % 150.86/151.55 (define @t221 () (lambda @t19 (forall @t35 (=> @t93 (exists @t189 (= @t2 (_ (_ tptp.c_lam (_ tptp.c_ordsucc @t211)) (lambda @t156 (_ (_ (_ tptp.c_If_i (= @t152 tptp.c_Empty)) @t21) @t26))))))))) % 150.86/151.55 (define @t222 () (@var "X2" (-> $$unsorted $$unsorted $$unsorted))) % 150.86/151.55 (define @t223 () (lambda (@list @t11 @t27 @t222) (_ @t207 (lambda @t32 (_ (_ tptp.c_lam @t28) (lambda @t156 (_ (_ @t222 @t26) @t152))))))) % 150.86/151.55 (define @t224 () (_ @t77 @t26)) % 150.86/151.55 (define @t225 () (@list @t11 @t153 @t77)) % 150.86/151.55 (define @t226 () (lambda @t225 (forall @t32 (=> @t30 (_ (_ tptp.c_iff @t157) @t224))))) % 150.86/151.55 (define @t227 () (lambda @t225 (exists @t32 (_ @t31 (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ (_ tptp.c_PNoEq_ @t26) @t153) @t77)) (_ tptp.c_not @t157))) @t224))))) % 150.86/151.55 (define @t228 () (_ tptp.c_not @t158)) % 150.86/151.55 (define @t229 () (_ tptp.c_PNoEq_ @t11)) % 150.86/151.55 (define @t230 () (_ (_ @t229 @t153) @t57)) % 150.86/151.55 (define @t231 () (@list @t11 @t153 @t21 @t57)) % 150.86/151.55 (define @t232 () (lambda @t231 (_ (_ tptp.c_or (_ (_ tptp.c_or (_ (_ (_ tptp.c_PNoLt_ (_ (_ tptp.c_binintersect @t11) @t21)) @t153) @t57)) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ @t17 @t21)) @t230)) (_ @t57 @t11)))) (_ (_ tptp.c_and (_ @t159 (_ (_ (_ tptp.c_PNoEq_ @t21) @t153) @t57))) @t228)))) % 150.86/151.55 (define @t233 () (lambda @t231 (_ (_ tptp.c_or (_ (_ (_ (_ tptp.c_PNoLt @t11) @t153) @t21) @t57)) (_ (_ tptp.c_and (= @t11 @t21)) @t230)))) % 150.86/151.55 (define @t234 () (@var "X4" (-> $$unsorted Bool))) % 150.86/151.55 (define @t235 () (@var "X0" (-> $$unsorted (-> $$unsorted Bool) Bool))) % 150.86/151.55 (define @t236 () (_ tptp.c_and (_ (_ @t235 @t26) @t234))) % 150.86/151.55 (define @t237 () (@list @t234)) % 150.86/151.55 (define @t238 () (_ tptp.c_and (_ tptp.c_ordinal @t26))) % 150.86/151.55 (define @t239 () (@list @t235 @t2 @t77)) % 150.86/151.55 (define @t240 () (lambda @t239 (exists @t32 (_ @t238 (exists @t237 (_ @t236 (_ (_ (_ (_ tptp.c_PNoLe @t2) @t77) @t26) @t234))))))) % 150.86/151.55 (define @t241 () (lambda @t239 (exists @t32 (_ @t238 (exists @t237 (_ @t236 (_ (_ (_ (_ tptp.c_PNoLe @t26) @t234) @t2) @t77))))))) % 150.86/151.55 (define @t242 () (_ tptp.c_Sing @t211)) % 150.86/151.55 (define @t243 () (lambda @t19 (_ @t149 (_ @t34 (lambda @t35 (_ (lambda @t25 (_ (_ tptp.c_SetAdjoin @t21) @t242)) @t2)))))) % 150.86/151.55 (define @t244 () (_ (lambda @t32 (_ (_ tptp.c_SetAdjoin @t26) @t242)) @t21)) % 150.86/151.55 (define @t245 () (lambda @t16 (_ (_ tptp.c_and (_ @t12 (_ tptp.c_SNoElts_ @t11))) (forall @t25 (=> @t23 (_ (_ tptp.c_exactly1of2 (_ (_ tptp.c_In @t244) @t2)) @t45)))))) % 150.86/151.55 (define @t246 () (lambda @t160 (_ (_ tptp.c_binunion (_ @t162 (lambda @t25 @t158))) (_ (_ @t200 (lambda @t25 @t228)) (lambda @t25 @t244))))) % 150.86/151.55 (define @t247 () (_ (_ tptp.c_and (_ tptp.c_ordinal @t2)) (_ (_ tptp.c_SNo_ @t2) @t11))) % 150.86/151.55 (define @t248 () (lambda @t19 (exists @t35 @t247))) % 150.86/151.55 (define @t249 () (lambda @t19 (_ tptp.c_Eps_i (lambda @t35 @t247)))) % 150.86/151.55 (define @t250 () (@list @t11 @t2 @t21)) % 150.86/151.55 (define @t251 () (lambda @t250 (_ (_ @t229 (lambda @t32 @t41)) (lambda @t32 (_ @t29 @t21))))) % 150.86/151.55 (define @t252 () (_ tptp.c_SNoLev @t2)) % 150.86/151.55 (define @t253 () (lambda @t25 @t23)) % 150.86/151.55 (define @t254 () (_ tptp.c_SNoLev @t11)) % 150.86/151.55 (define @t255 () (lambda @t16 (_ (_ (_ (_ tptp.c_PNoLt @t254) @t253) @t252) @t164))) % 150.86/151.55 (define @t256 () (lambda @t16 (_ (_ (_ (_ tptp.c_PNoLe @t254) @t253) @t252) @t164))) % 150.86/151.55 (define @t257 () (lambda (@list @t11 @t65) (forall @t25 (=> @t23 (forall @t32 (=> @t30 (_ (_ tptp.c_In (_ (_ @t65 @t21) @t26)) @t11))))))) % 150.86/151.55 (define @t258 () (@var "X3" (-> $$unsorted $$unsorted $$unsorted))) % 150.86/151.55 (define @t259 () (_ @t222 @t54)) % 150.86/151.55 (define @t260 () (_ (_ tptp.c_In @t54) @t11)) % 150.86/151.55 (define @t261 () (@list @t54)) % 150.86/151.55 (define @t262 () (_ tptp.c_binop_on @t11)) % 150.86/151.55 (define @t263 () (lambda (@list @t11 @t65 @t222 @t258 @t152) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ @t262 @t65)) (_ @t262 @t222))) (_ @t262 @t258))) (forall @t261 (=> @t260 (_ (_ tptp.c_and (= (_ (_ @t65 @t152) @t54) @t54)) (= (_ @t68 @t152) @t54)))))) (forall @t261 (=> @t260 (forall @t178 (=> (_ @t177 @t11) (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (= (_ @t259 @t71) @t62)) (= (_ @t68 (_ @t259 @t62)) @t62))) (= (_ (_ @t258 @t71) @t62) @t54))) (= (_ (_ @t65 (_ (_ @t258 @t54) @t62)) @t62) @t54))))))))) % 150.86/151.55 (define @t264 () (@var "X15" $$unsorted)) % 150.86/151.55 (define @t265 () (@var "X14" $$unsorted)) % 150.86/151.55 (define @t266 () (_ @t65 @t265)) % 150.86/151.55 (define @t267 () (_ @t266 @t264)) % 150.86/151.55 (define @t268 () (@var "X16" $$unsorted)) % 150.86/151.55 (define @t269 () (@var "X9" (-> $$unsorted $$unsorted $$unsorted $$unsorted))) % 150.86/151.55 (define @t270 () (_ @t65 @t264)) % 150.86/151.55 (define @t271 () (_ @t270 @t265)) % 150.86/151.55 (define @t272 () (_ @t222 @t271)) % 150.86/151.55 (define @t273 () (@var "X8" (-> $$unsorted $$unsorted $$unsorted $$unsorted))) % 150.86/151.55 (define @t274 () (_ (_ tptp.c_In @t268) @t11)) % 150.86/151.55 (define @t275 () (@list @t268)) % 150.86/151.55 (define @t276 () (_ (_ tptp.c_In @t264) @t11)) % 150.86/151.55 (define @t277 () (@list @t264)) % 150.86/151.55 (define @t278 () (_ (_ tptp.c_In @t265) @t11)) % 150.86/151.55 (define @t279 () (@list @t265)) % 150.86/151.55 (define @t280 () (_ @t258 @t152)) % 150.86/151.55 (define @t281 () (_ @t280 @t265)) % 150.86/151.55 (define @t282 () (@var "X13" (-> $$unsorted $$unsorted $$unsorted))) % 150.86/151.55 (define @t283 () (_ @t222 @t265)) % 150.86/151.55 (define @t284 () (_ @t283 @t152)) % 150.86/151.55 (define @t285 () (@var "X12" (-> $$unsorted $$unsorted $$unsorted))) % 150.86/151.55 (define @t286 () (_ @t65 @t281)) % 150.86/151.55 (define @t287 () (@var "X11" (-> $$unsorted $$unsorted $$unsorted))) % 150.86/151.55 (define @t288 () (@var "X10" (-> $$unsorted $$unsorted $$unsorted))) % 150.86/151.55 (define @t289 () (@var "X7" (-> $$unsorted $$unsorted $$unsorted))) % 150.86/151.55 (define @t290 () (@var "X6" (-> $$unsorted $$unsorted $$unsorted $$unsorted))) % 150.86/151.55 (define @t291 () (@var "X5" (-> $$unsorted $$unsorted $$unsorted))) % 150.86/151.55 (define @t292 () (@list @t11 @t65 @t222 @t258 @t152 @t291 @t290 @t289 @t273 @t269 @t288 @t287 @t285 @t282)) % 150.86/151.55 (define @t293 () (lambda @t292 (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ (_ (_ (_ tptp.c_Loop @t11) @t65) @t222) @t258) @t152)) (forall @t279 (=> @t278 (forall @t277 (=> @t276 (= (_ (_ @t291 @t265) @t264) (_ @t272 @t267)))))))) (forall @t279 (=> @t278 (forall @t277 (=> @t276 (forall @t275 (=> @t274 (= (_ (_ (_ @t290 @t265) @t264) @t268) (_ (_ @t222 (_ @t266 (_ @t270 @t268))) (_ (_ @t65 @t267) @t268))))))))))) (forall @t279 (=> @t278 (forall @t277 (=> @t276 (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (_ (_ tptp.c_and (= (_ (_ @t289 @t265) @t264) (_ @t283 @t271))) (= (_ (_ @t288 @t265) @t264) (_ @t266 (_ @t270 @t284))))) (= (_ (_ @t287 @t265) @t264) (_ (_ @t65 (_ @t286 @t264)) @t265)))) (= (_ (_ @t285 @t265) @t264) (_ (_ @t65 (_ @t283 @t264)) (_ (_ @t222 @t284) @t152))))) (= (_ (_ @t282 @t265) @t264) (_ (_ @t65 (_ @t280 @t281)) (_ (_ @t258 @t264) @t265)))))))))) (forall @t279 (=> @t278 (forall @t277 (=> @t276 (forall @t275 (=> @t274 (_ (_ tptp.c_and (= (_ (_ (_ @t273 @t265) @t264) @t268) (_ @t272 (_ @t270 (_ @t266 @t268))))) (= (_ (_ (_ @t269 @t265) @t264) @t268) (_ (_ @t258 (_ (_ @t65 (_ (_ @t65 @t268) @t265)) @t264)) @t267)))))))))))) % 150.86/151.55 (define @t294 () (@var "X17" $$unsorted)) % 150.86/151.55 (define @t295 () (_ tptp.c_and (_ (_ tptp.c_In @t294) @t11))) % 150.86/151.55 (define @t296 () (@list @t294)) % 150.86/151.55 (define @t297 () (_ tptp.c_and @t274)) % 150.86/151.55 (define @t298 () (_ tptp.c_and @t276)) % 150.86/151.55 (define @t299 () (_ tptp.c_and @t278)) % 150.86/151.55 (define @t300 () (_ tptp.c_and (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ (_ tptp.c_Loop_with_defs @t11) @t65) @t222) @t258) @t152) @t291) @t290) @t289) @t273) @t269) @t288) @t287) @t285) @t282))) % 150.86/151.55 (define @t301 () (lambda @t292 (_ @t300 (exists @t279 (_ @t299 (exists @t277 (_ @t298 (exists @t275 (_ @t297 (exists @t296 (_ @t295 (_ tptp.c_not (= (_ (_ @t291 (_ (_ @t65 (_ (_ @t222 (_ (_ (_ @t273 @t264) @t268) @t265)) @t152)) @t265)) @t294) @t152))))))))))))) % 150.86/151.55 (define @t302 () (@var "X18" $$unsorted)) % 150.86/151.55 (define @t303 () (lambda @t292 (_ @t300 (exists @t279 (_ @t299 (exists @t277 (_ @t298 (exists @t275 (_ @t297 (exists @t296 (_ @t295 (exists (@list @t302) (_ (_ tptp.c_and (_ (_ tptp.c_In @t302) @t11)) (_ tptp.c_not (= (_ (_ (_ @t290 @t302) (_ @t286 (_ (_ (_ @t269 @t264) @t268) @t265))) @t294) @t152))))))))))))))) % 150.86/151.55 (define @t304 () (_ tptp.c_Inj0 @t144)) % 150.86/151.55 (define @t305 () (_ tptp.c_Inj0 tptp.c_Empty)) % 150.86/151.55 (define @t306 () (lambda @t19 (forall @t183 (=> (_ @t153 @t305) (=> (_ @t153 @t304) (=> (forall @t189 (=> @t158 (=> @t157 (_ @t153 (_ tptp.c_Inj1 @t205))))) @t182)))))) % 150.86/151.55 (define @t307 () (@list @t26 @t152)) % 150.86/151.55 (define @t308 () (_ @t291 @t62)) % 150.86/151.55 (define @t309 () (@var "X9" $$unsorted)) % 150.86/151.55 (define @t310 () (_ @t219 @t62)) % 150.86/151.55 (define @t311 () (_ tptp.c_combinator @t62)) % 150.86/151.55 (define @t312 () (lambda @t16 (forall (@list @t219) (_ (_ (_ (lambda (@list @t26 @t152 @t291) (=> (_ tptp.c_per_i @t219) (=> (forall @t178 (=> @t311 (_ @t310 @t62))) (=> (forall (@list @t62 @t63 @t59 @t309) (=> @t311 (=> (_ tptp.c_combinator @t63) (=> (_ tptp.c_combinator @t59) (=> (_ tptp.c_combinator @t309) (=> (_ @t310 @t59) (=> (_ (_ @t219 @t63) @t309) (_ (_ @t219 (_ @t308 @t63)) (_ (_ @t291 @t59) @t309))))))))) (=> (forall (@list @t62 @t63) (_ (_ @t219 (_ (_ @t291 (_ (_ @t291 @t26) @t62)) @t63)) @t62)) (=> (forall (@list @t62 @t63 @t59) (_ (_ @t219 (_ (_ @t291 (_ (_ @t291 (_ (_ @t291 @t152) @t62)) @t63)) @t59)) (_ (_ @t291 (_ @t308 @t59)) (_ (_ @t291 @t63) @t59)))) (_ (_ @t219 @t11) @t2))))))) @t305) @t304) (lambda @t307 (_ tptp.c_Inj1 @t214)))))) % 150.86/151.55 (define @t313 () (_ (_ tptp.c_equip (_ (_ tptp.c_setprod @t152) @t26)) @t21)) % 150.86/151.55 (define @t314 () (lambda @t250 (exists @t307 (_ (_ tptp.c_or (_ (_ tptp.c_and (_ (_ tptp.c_equip (_ @t203 @t26)) @t2)) @t313)) (_ (_ tptp.c_and (_ (_ tptp.c_equip @t209) @t11)) @t313))))) % 150.86/151.55 (define @t315 () (@var "BOUND_VARIABLE_25708" $$unsorted)) % 150.86/151.55 (define @t316 () (@var "BOUND_VARIABLE_26267" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 150.86/151.55 (define @t317 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 150.86/151.55 (define @t318 () (@var "BOUND_VARIABLE_26269" (@ho-elim-sort (-> $$unsorted Bool)))) % 150.86/151.55 (define @t319 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.86/151.55 (define @t320 () (@var "BOUND_VARIABLE_25556" $$unsorted)) % 150.86/151.55 (define @t321 () (@var "BOUND_VARIABLE_25558" $$unsorted)) % 150.86/151.55 (define @t322 () (@var "BOUND_VARIABLE_26273" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 150.86/151.55 (define @t323 () (_ @t317 @t322 @t320)) % 150.86/151.55 (define @t324 () (@var "BOUND_VARIABLE_25554" $$unsorted)) % 150.86/151.55 (define @t325 () (@var "BOUND_VARIABLE_26276" (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)))) % 150.86/151.55 (define @t326 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted))))) % 150.86/151.55 (define @t327 () (_ @t326 @t325 @t320)) % 150.86/151.55 (define @t328 () (_ @t317 @t322 @t321)) % 150.86/151.55 (define @t329 () (_ @t326 @t325 @t324)) % 150.86/151.55 (define @t330 () (_ @t317 @t329 @t321)) % 150.86/151.55 (define @t331 () (_ @t317 @t322 @t324)) % 150.86/151.55 (define @t332 () (_ @t317 @t329 @t324)) % 150.86/151.55 (define @t333 () (_ @t326 @t325 @t321)) % 150.86/151.55 (define @t334 () (_ @t317 @t333 @t324)) % 150.86/151.55 (define @t335 () (_ @t317 @t322 @t334)) % 150.86/151.55 (define @t336 () (_ @t326 @t325 @t331)) % 150.86/151.55 (define @t337 () (@var "BOUND_VARIABLE_25706" (-> $$unsorted $$unsorted))) % 150.86/151.55 (define @t338 () (_ @t337 @t315)) % 150.86/151.55 (define @t339 () (@var "BOUND_VARIABLE_25704" (-> $$unsorted Bool))) % 150.86/151.55 (define @t340 () (_ @t339 @t338)) % 150.86/151.55 (define @t341 () (@list @t339 @t337 @t315)) % 150.86/151.55 (define @t342 () (@var "BOUND_VARIABLE_25552" (-> $$unsorted $$unsorted))) % 150.86/151.55 (define @t343 () (_ @t342 @t320)) % 150.86/151.55 (define @t344 () (@var "BOUND_VARIABLE_25546" (-> $$unsorted $$unsorted $$unsorted))) % 150.86/151.55 (define @t345 () (_ @t344 @t320 @t324)) % 150.86/151.55 (define @t346 () (_ @t344 @t345 @t343)) % 150.86/151.55 (define @t347 () (_ @t344 @t346 @t320)) % 150.86/151.55 (define @t348 () (_ @t342 @t321)) % 150.86/151.55 (define @t349 () (_ @t342 @t348)) % 150.86/151.55 (define @t350 () (_ @t342 @t349)) % 150.86/151.55 (define @t351 () (_ @t344 @t324 @t321)) % 150.86/151.55 (define @t352 () (_ @t344 @t351 @t350)) % 150.86/151.55 (define @t353 () (_ @t344 @t352 @t321)) % 150.86/151.55 (define @t354 () (_ @t344 @t353 @t320)) % 150.86/151.55 (define @t355 () (_ @t344 @t354 @t324)) % 150.86/151.55 (define @t356 () (_ @t342 @t324)) % 150.86/151.55 (define @t357 () (_ @t344 @t324 @t324)) % 150.86/151.55 (define @t358 () (_ @t342 @t357)) % 150.86/151.55 (define @t359 () (_ @t344 @t324 @t320)) % 150.86/151.55 (define @t360 () (_ @t344 @t359 @t321)) % 150.86/151.55 (define @t361 () (_ @t342 @t360)) % 150.86/151.55 (define @t362 () (_ @t342 @t361)) % 150.86/151.55 (define @t363 () (_ @t344 @t362 @t358)) % 150.86/151.55 (define @t364 () (_ @t344 @t321 @t363)) % 150.86/151.55 (define @t365 () (_ @t344 @t364 @t324)) % 150.86/151.55 (define @t366 () (_ @t344 @t365 @t356)) % 150.86/151.55 (define @t367 () (_ @t344 @t366 @t355)) % 150.86/151.55 (define @t368 () (_ @t342 @t367)) % 150.86/151.55 (define @t369 () (_ @t344 @t368 @t347)) % 150.86/151.55 (define @t370 () (_ @t342 @t369)) % 150.86/151.55 (define @t371 () (_ @t344 @t370 @t321)) % 150.86/151.55 (define @t372 () (_ @t344 @t371 @t320)) % 150.86/151.55 (define @t373 () (_ @t344 @t320 @t321)) % 150.86/151.55 (define @t374 () (_ @t344 @t321 @t324)) % 150.86/151.55 (define @t375 () (_ @t342 @t374)) % 150.86/151.55 (define @t376 () (_ @t342 @t375)) % 150.86/151.55 (define @t377 () (_ @t344 @t321 @t376)) % 150.86/151.55 (define @t378 () (_ @t342 @t377)) % 150.86/151.55 (define @t379 () (_ @t342 @t378)) % 150.86/151.55 (define @t380 () (_ @t344 @t320 @t357)) % 150.86/151.55 (define @t381 () (_ @t344 @t380 @t379)) % 150.86/151.55 (define @t382 () (_ @t344 @t381 @t324)) % 150.86/151.55 (define @t383 () (_ @t344 @t382 @t320)) % 150.86/151.55 (define @t384 () (_ @t344 @t383 @t373)) % 150.86/151.55 (define @t385 () (_ @t344 @t321 @t357)) % 150.86/151.55 (define @t386 () (_ @t344 @t374 @t321)) % 150.86/151.55 (define @t387 () (_ @t344 @t320 @t386)) % 150.86/151.55 (define @t388 () (_ @t344 @t387 @t320)) % 150.86/151.55 (define @t389 () (_ @t344 @t324 @t388)) % 150.86/151.55 (define @t390 () (_ @t344 @t389 @t321)) % 150.86/151.55 (define @t391 () (_ @t344 @t390 @t385)) % 150.86/151.55 (define @t392 () (_ @t344 @t391 @t320)) % 150.86/151.55 (define @t393 () (_ @t342 @t392)) % 150.86/151.55 (define @t394 () (_ @t342 @t393)) % 150.86/151.55 (define @t395 () (_ @t344 @t356 @t320)) % 150.86/151.55 (define @t396 () (_ @t344 @t320 @t395)) % 150.86/151.55 (define @t397 () (_ @t344 @t396 @t320)) % 150.86/151.55 (define @t398 () (_ @t344 @t397 @t394)) % 150.86/151.55 (define @t399 () (_ @t342 @t351)) % 150.86/151.55 (define @t400 () (_ @t344 @t399 @t324)) % 150.86/151.55 (define @t401 () (_ @t344 @t324 @t400)) % 150.86/151.55 (define @t402 () (_ @t344 @t321 @t401)) % 150.86/151.55 (define @t403 () (_ @t344 @t402 @t398)) % 150.86/151.55 (define @t404 () (_ @t342 @t403)) % 150.86/151.55 (define @t405 () (_ @t344 @t343 @t321)) % 150.86/151.55 (define @t406 () (_ @t344 @t324 @t405)) % 150.86/151.55 (define @t407 () (_ @t344 @t406 @t375)) % 150.86/151.55 (define @t408 () (_ @t344 @t324 @t407)) % 150.86/151.55 (define @t409 () (_ @t344 @t408 @t320)) % 150.86/151.55 (define @t410 () (_ @t344 @t409 @t404)) % 150.86/151.55 (define @t411 () (_ @t344 @t320 @t410)) % 150.86/151.55 (define @t412 () (_ @t344 @t320 @t411)) % 150.86/151.55 (define @t413 () (_ @t344 @t348 @t324)) % 150.86/151.55 (define @t414 () (_ @t344 @t413 @t357)) % 150.86/151.55 (define @t415 () (_ @t342 @t414)) % 150.86/151.55 (define @t416 () (_ @t344 @t415 @t412)) % 150.86/151.55 (define @t417 () (_ @t344 @t320 @t320)) % 150.86/151.55 (define @t418 () (_ @t344 @t320 @t417)) % 150.86/151.55 (define @t419 () (_ @t344 @t321 @t418)) % 150.86/151.55 (define @t420 () (_ @t344 @t419 @t324)) % 150.86/151.55 (define @t421 () (_ @t344 @t356 @t420)) % 150.86/151.55 (define @t422 () (_ @t344 @t324 @t421)) % 150.86/151.55 (define @t423 () (_ @t344 @t422 @t416)) % 150.86/151.55 (define @t424 () (_ @t344 @t324 @t423)) % 150.86/151.55 (define @t425 () (_ @t344 @t324 @t424)) % 150.86/151.55 (define @t426 () (_ @t344 @t425 @t384)) % 150.86/151.55 (define @t427 () (_ @t344 @t320 @t426)) % 150.86/151.55 (define @t428 () (_ @t344 @t427 @t324)) % 150.86/151.55 (define @t429 () (_ @t344 @t428 @t324)) % 150.86/151.55 (define @t430 () (_ @t344 @t429 @t343)) % 150.86/151.55 (define @t431 () (_ @t344 @t321 @t430)) % 150.86/151.55 (define @t432 () (_ @t344 @t324 @t431)) % 150.86/151.55 (define @t433 () (_ @t344 @t432 @t372)) % 150.86/151.55 (define @t434 () (@list @t344 @t342 @t324 @t320 @t321)) % 150.86/151.55 (define @t435 () (and (forall @t434 (= @t320 @t433)) (forall @t341 @t340))) % 150.86/151.55 (define @t436 () (not tptp.c_False)) % 150.86/151.55 (define @t437 () (not false)) % 150.86/151.55 (define @t438 () (or @t437 tptp.c_False)) % 150.86/151.55 (define @t439 () (and @t438 @t436)) % 150.86/151.55 (define @t440 () (or @t439 false)) % 150.86/151.55 (define @t441 () (not @t4)) % 150.86/151.55 (define @t442 () (and (or @t441 tptp.c_False) @t436)) % 150.86/151.55 (define @t443 () (or @t4 @t442 @t4)) % 150.86/151.55 (define @t444 () (or @t442 @t4)) % 150.86/151.55 (define @t445 () (=> @t82 tptp.c_False)) % 150.86/151.55 (define @t446 () (_ @t83 @t4)) % 150.86/151.55 (define @t447 () (=> (_ @t83 @t446) @t4)) % 150.86/151.55 (define @t448 () (=> @t435 tptp.c_False)) % 150.86/151.55 (define @t449 () (_ @t337 @t315)) % 150.86/151.55 (define @t450 () (_ @t339 @t449)) % 150.86/151.55 (define @t451 () (forall @t341 @t450)) % 150.86/151.55 (define @t452 () (@var "BOUND_VARIABLE_25712" $$unsorted)) % 150.86/151.55 (define @t453 () (@var "BOUND_VARIABLE_25710" $$unsorted)) % 150.86/151.55 (define @t454 () (@var "BOUND_VARIABLE_25702" (-> $$unsorted Bool))) % 150.86/151.55 (define @t455 () (@var "BOUND_VARIABLE_25700" (-> $$unsorted $$unsorted $$unsorted))) % 150.86/151.55 (define @t456 () (@var "BOUND_VARIABLE_25698" (-> $$unsorted $$unsorted Bool))) % 150.86/151.55 (define @t457 () (forall (@list @t456 @t455 @t454 @t339 @t337 @t315 @t453 @t452) @t450)) % 150.86/151.55 (define @t458 () (_ @t342 @t320)) % 150.86/151.55 (define @t459 () (_ @t344 @t320)) % 150.86/151.55 (define @t460 () (_ @t459 @t324)) % 150.86/151.55 (define @t461 () (_ (_ @t344 @t460) @t458)) % 150.86/151.55 (define @t462 () (_ (_ @t344 @t461) @t320)) % 150.86/151.55 (define @t463 () (_ @t342 @t321)) % 150.86/151.55 (define @t464 () (_ @t342 @t463)) % 150.86/151.55 (define @t465 () (_ @t342 @t464)) % 150.86/151.55 (define @t466 () (_ @t344 @t324)) % 150.86/151.55 (define @t467 () (_ @t466 @t321)) % 150.86/151.55 (define @t468 () (_ (_ @t344 @t467) @t465)) % 150.86/151.55 (define @t469 () (_ (_ @t344 @t468) @t321)) % 150.86/151.55 (define @t470 () (_ (_ @t344 @t469) @t320)) % 150.86/151.55 (define @t471 () (_ (_ @t344 @t470) @t324)) % 150.86/151.55 (define @t472 () (_ @t342 @t324)) % 150.86/151.55 (define @t473 () (_ @t466 @t324)) % 150.86/151.55 (define @t474 () (_ @t342 @t473)) % 150.86/151.55 (define @t475 () (_ @t466 @t320)) % 150.86/151.55 (define @t476 () (_ (_ @t344 @t475) @t321)) % 150.86/151.55 (define @t477 () (_ @t342 @t476)) % 150.86/151.55 (define @t478 () (_ @t342 @t477)) % 150.86/151.55 (define @t479 () (_ (_ @t344 @t478) @t474)) % 150.86/151.55 (define @t480 () (_ @t344 @t321)) % 150.86/151.55 (define @t481 () (_ @t480 @t479)) % 150.86/151.55 (define @t482 () (_ (_ @t344 @t481) @t324)) % 150.86/151.55 (define @t483 () (_ (_ @t344 @t482) @t472)) % 150.86/151.55 (define @t484 () (_ (_ @t344 @t483) @t471)) % 150.86/151.55 (define @t485 () (_ @t342 @t484)) % 150.86/151.55 (define @t486 () (_ (_ @t344 @t485) @t462)) % 150.86/151.55 (define @t487 () (_ @t342 @t486)) % 150.86/151.55 (define @t488 () (_ (_ @t344 @t487) @t321)) % 150.86/151.55 (define @t489 () (_ (_ @t344 @t488) @t320)) % 150.86/151.55 (define @t490 () (_ @t459 @t321)) % 150.86/151.55 (define @t491 () (_ @t480 @t324)) % 150.86/151.55 (define @t492 () (_ @t342 @t491)) % 150.86/151.55 (define @t493 () (_ @t342 @t492)) % 150.86/151.55 (define @t494 () (_ @t480 @t493)) % 150.86/151.55 (define @t495 () (_ @t342 @t494)) % 150.86/151.55 (define @t496 () (_ @t342 @t495)) % 150.86/151.55 (define @t497 () (_ @t459 @t473)) % 150.86/151.55 (define @t498 () (_ (_ @t344 @t497) @t496)) % 150.86/151.55 (define @t499 () (_ (_ @t344 @t498) @t324)) % 150.86/151.55 (define @t500 () (_ (_ @t344 @t499) @t320)) % 150.86/151.55 (define @t501 () (_ (_ @t344 @t500) @t490)) % 150.86/151.55 (define @t502 () (_ @t480 @t473)) % 150.86/151.55 (define @t503 () (_ (_ @t344 @t491) @t321)) % 150.86/151.55 (define @t504 () (_ @t459 @t503)) % 150.86/151.55 (define @t505 () (_ (_ @t344 @t504) @t320)) % 150.86/151.55 (define @t506 () (_ @t466 @t505)) % 150.86/151.55 (define @t507 () (_ (_ @t344 @t506) @t321)) % 150.86/151.55 (define @t508 () (_ (_ @t344 @t507) @t502)) % 150.86/151.55 (define @t509 () (_ (_ @t344 @t508) @t320)) % 150.86/151.55 (define @t510 () (_ @t342 @t509)) % 150.86/151.55 (define @t511 () (_ @t342 @t510)) % 150.86/151.55 (define @t512 () (_ @t344 @t472)) % 150.86/151.55 (define @t513 () (_ @t512 @t320)) % 150.86/151.55 (define @t514 () (_ @t459 @t513)) % 150.86/151.55 (define @t515 () (_ (_ @t344 @t514) @t320)) % 150.86/151.55 (define @t516 () (_ (_ @t344 @t515) @t511)) % 150.86/151.55 (define @t517 () (_ @t342 @t467)) % 150.86/151.55 (define @t518 () (_ (_ @t344 @t517) @t324)) % 150.86/151.55 (define @t519 () (_ @t466 @t518)) % 150.86/151.55 (define @t520 () (_ @t480 @t519)) % 150.86/151.55 (define @t521 () (_ (_ @t344 @t520) @t516)) % 150.86/151.55 (define @t522 () (_ @t342 @t521)) % 150.86/151.55 (define @t523 () (_ (_ @t344 @t458) @t321)) % 150.86/151.55 (define @t524 () (_ @t466 @t523)) % 150.86/151.55 (define @t525 () (_ (_ @t344 @t524) @t492)) % 150.86/151.55 (define @t526 () (_ @t466 @t525)) % 150.86/151.55 (define @t527 () (_ (_ @t344 @t526) @t320)) % 150.86/151.55 (define @t528 () (_ (_ @t344 @t527) @t522)) % 150.86/151.55 (define @t529 () (_ @t459 @t528)) % 150.86/151.55 (define @t530 () (_ @t459 @t529)) % 150.86/151.55 (define @t531 () (_ (_ @t344 @t463) @t324)) % 150.86/151.55 (define @t532 () (_ (_ @t344 @t531) @t473)) % 150.86/151.55 (define @t533 () (_ @t342 @t532)) % 150.86/151.55 (define @t534 () (_ (_ @t344 @t533) @t530)) % 150.86/151.55 (define @t535 () (_ @t459 @t320)) % 150.86/151.55 (define @t536 () (_ @t459 @t535)) % 150.86/151.55 (define @t537 () (_ @t480 @t536)) % 150.86/151.55 (define @t538 () (_ (_ @t344 @t537) @t324)) % 150.86/151.55 (define @t539 () (_ @t512 @t538)) % 150.86/151.55 (define @t540 () (_ @t466 @t539)) % 150.86/151.55 (define @t541 () (_ (_ @t344 @t540) @t534)) % 150.86/151.55 (define @t542 () (_ @t466 @t541)) % 150.86/151.55 (define @t543 () (_ @t466 @t542)) % 150.86/151.55 (define @t544 () (_ (_ @t344 @t543) @t501)) % 150.86/151.55 (define @t545 () (_ @t459 @t544)) % 150.86/151.55 (define @t546 () (_ (_ @t344 @t545) @t324)) % 150.86/151.55 (define @t547 () (_ (_ @t344 @t546) @t324)) % 150.86/151.55 (define @t548 () (_ (_ @t344 @t547) @t458)) % 150.86/151.55 (define @t549 () (_ @t480 @t548)) % 150.86/151.55 (define @t550 () (_ @t466 @t549)) % 150.86/151.55 (define @t551 () (_ (_ @t344 @t550) @t489)) % 150.86/151.55 (define @t552 () (_ @t344 @t356)) % 150.86/151.55 (define @t553 () (= @t320 @t551)) % 150.86/151.55 (define @t554 () (forall @t434 @t553)) % 150.86/151.55 (define @t555 () (@var "BOUND_VARIABLE_25550" (-> $$unsorted Bool))) % 150.86/151.55 (define @t556 () (@var "BOUND_VARIABLE_25548" (-> $$unsorted Bool))) % 150.86/151.55 (define @t557 () (@var "BOUND_VARIABLE_25544" (-> $$unsorted $$unsorted Bool))) % 150.86/151.55 (define @t558 () (forall (@list @t557 @t344 @t556 @t555 @t342 @t324 @t320 @t321) @t553)) % 150.86/151.55 (define @t559 () (forall @t79 @t58)) % 150.86/151.55 (define @t560 () (@list @t78 @t65 @t77 @t57 @t55 @t54 @t62 @t63)) % 150.86/151.55 (define @t561 () (forall @t79 @t76)) % 150.86/151.55 (define @t562 () (and @t561 @t559)) % 150.86/151.55 (define @t563 () (and @t76 @t58)) % 150.86/151.55 (define @t564 () (@var "BOUND_VARIABLE_7744" Bool)) % 150.86/151.55 (define @t565 () (@list @t564)) % 150.86/151.55 (define @t566 () (not @t58)) % 150.86/151.55 (define @t567 () (forall @t60 @t566)) % 150.86/151.55 (define @t568 () (not @t567)) % 150.86/151.55 (define @t569 () (= @t564 false)) % 150.86/151.55 (define @t570 () (not @t569)) % 150.86/151.55 (define @t571 () (ite @t569 false true)) % 150.86/151.55 (define @t572 () (= @t76 true)) % 150.86/151.55 (define @t573 () (lambda @t565 (ite @t572 @t571 false))) % 150.86/151.55 (define @t574 () (@var "BOUND_VARIABLE_7742" Bool)) % 150.86/151.55 (define @t575 () (lambda (@list @t574 @t564) (ite (= @t574 true) @t571 false))) % 150.86/151.55 (define @t576 () (and @t4 @t9)) % 150.86/151.55 (define @t577 () (lambda @t10 @t576)) % 150.86/151.55 (define @t578 () (forall @t79 (_ (_ @t577 @t76) @t61))) % 150.86/151.55 (define @t579 () (and @t4 @t9 @t437)) % 150.86/151.55 (define @t580 () (or @t579 false)) % 150.86/151.55 (define @t581 () (not @t84)) % 150.86/151.55 (define @t582 () (and @t4 @t9 @t581)) % 150.86/151.55 (define @t583 () (or @t84 @t582 @t84)) % 150.86/151.55 (define @t584 () (or @t582 @t84)) % 150.86/151.55 (define @t585 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 150.86/151.55 (define @t586 () (_ @t317 @t585 tptp.c_Empty)) % 150.86/151.55 (define @t587 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)))) % 150.86/151.55 (define @t588 () (_ @t326 @t587 tptp.c_Empty)) % 150.86/151.55 (define @t589 () (_ @t317 @t588 tptp.c_Empty)) % 150.86/151.55 (define @t590 () (_ @t326 @t587 @t589)) % 150.86/151.55 (define @t591 () (_ @t317 @t585 @t589)) % 150.86/151.55 (define @t592 () (_ @t317 @t590 tptp.c_Empty)) % 150.86/151.55 (define @t593 () (_ @t317 @t588 @t589)) % 150.86/151.55 (define @t594 () (_ @t326 @t587 @t586)) % 150.86/151.55 (define @t595 () (_ @t317 @t594 tptp.c_Empty)) % 150.86/151.55 (define @t596 () (_ @t326 @t587 (_ @t317 @t588 @t595))) % 150.86/151.55 (define @t597 () (@const 5 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.86/151.55 (define @t598 () (@const 6 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.86/151.55 (define @t599 () (_ @t598 @t597 tptp.c_Empty)) % 150.86/151.55 (define @t600 () (tptp.c_In @t11 tptp.c_Empty)) % 150.86/151.55 (define @t601 () (forall @t19 (not @t600))) % 150.86/151.55 (define @t602 () (not @t601)) % 150.86/151.55 (define @t603 () (=> @t602 tptp.c_False)) % 150.86/151.55 (define @t604 () (not @t18)) % 150.86/151.55 (define @t605 () (forall @t19 @t604)) % 150.86/151.55 (define @t606 () (not @t605)) % 150.86/151.55 (assume @p1 (forall (@list @t1 @t2) (=> @t3 (_ @t1 (_ tptp.c_Eps_i @t1))))) % 150.86/151.55 (assume @p2 @t8) % 150.86/151.55 (assume @p3 (forall @t10 (=> (_ (_ tptp.c_iff @t4) @t9) (= @t4 @t9)))) % 150.86/151.55 (assume @p4 (forall @t16 (=> @t15 (=> @t13 (= @t11 @t2))))) % 150.86/151.55 (assume @p5 (_ tptp.c_not @t20)) % 150.86/151.55 (assume @p6 (forall @t16 (_ (_ tptp.c_iff (_ @t24 (_ tptp.c_Union @t11))) (exists @t25 (_ (_ tptp.c_and (_ @t24 @t21)) @t23))))) % 150.86/151.55 (assume @p7 (forall @t16 (_ (_ tptp.c_iff (_ @t24 (_ tptp.c_Power @t11))) @t13))) % 150.86/151.55 (assume @p8 (forall (@list @t11 @t27 @t21) (_ (_ tptp.c_iff (_ @t22 (_ @t34 @t33))) (exists @t32 (_ @t31 (= @t21 @t28)))))) % 150.86/151.55 (assume @p9 (forall @t47 (=> (forall @t35 (=> @t3 @t46)) (=> (_ @t1 tptp.c_Empty) (=> (forall @t35 (=> @t3 (_ @t1 (_ tptp.c_Union @t2)))) (=> (forall @t35 (=> @t3 (_ @t1 @t43))) (=> (forall @t35 (=> @t3 (forall @t42 (=> (forall @t32 (=> @t41 (_ @t1 @t38))) (_ @t1 (_ @t40 @t39)))))) @t36))))))) % 150.86/151.55 (assume @p10 (forall @t47 (=> (forall @t35 (=> @t46 @t3)) @t36))) % 150.86/151.55 (assume @p11 (= tptp.c_False (forall @t7 @t4))) % 150.86/151.55 (assume @p12 (= tptp.c_True (forall @t7 (=> @t4 @t4)))) % 150.86/151.55 (assume @p13 (= tptp.c_V_ (_ tptp.c_In_rec_poly_i (lambda @t50 (_ @t49 (lambda @t25 (_ tptp.c_Power @t48))))))) % 150.86/151.55 (assume @p14 (= tptp.c_Inj1 (_ tptp.c_In_rec_poly_i (lambda @t50 (_ (_ tptp.c_binunion @t53) @t52))))) % 150.86/151.55 (assume @p15 (= tptp.c_Unj (_ tptp.c_In_rec_poly_i (lambda @t50 (_ (_ tptp.c_Repl (_ (_ tptp.c_setminus @t11) @t53)) @t51))))) % 150.86/151.55 (assume @p16 @t81) % 150.86/151.55 (assume @p17 true) % 150.86/151.55 (step @p18 (= tptp.c_not @t83) :rule refl :args (@t83)) % 150.86/151.55 (step @p19 (= tptp.c_and @t89) :rule refl :args (@t89)) % 150.86/151.55 (step @p20 (= tptp.c_or @t90) :rule refl :args (@t90)) % 150.86/151.55 (step @p21 (= tptp.c_iff @t91) :rule refl :args (@t91)) % 150.86/151.55 (step @p22 (= tptp.c_Subq @t92) :rule refl :args (@t92)) % 150.86/151.55 (step @p23 (= tptp.c_TransSet @t94) :rule refl :args (@t94)) % 150.86/151.55 (step @p24 (= tptp.c_atleast2 @t95) :rule refl :args (@t95)) % 150.86/151.55 (step @p25 (= tptp.c_atleast3 @t99) :rule refl :args (@t99)) % 150.86/151.55 (step @p26 (= tptp.c_atleast4 @t100) :rule refl :args (@t100)) % 150.86/151.55 (step @p27 (= tptp.c_atleast5 @t101) :rule refl :args (@t101)) % 150.86/151.55 (step @p28 (= tptp.c_atleast6 @t102) :rule refl :args (@t102)) % 150.86/151.55 (step @p29 (= tptp.c_exactly2 @t104) :rule refl :args (@t104)) % 150.86/151.55 (step @p30 (= tptp.c_exactly3 @t106) :rule refl :args (@t106)) % 150.86/151.55 (step @p31 (= tptp.c_exactly4 @t108) :rule refl :args (@t108)) % 150.86/151.55 (step @p32 (= tptp.c_exactly5 @t109) :rule refl :args (@t109)) % 150.86/151.55 (step @p33 (= tptp.c_exu_i @t112) :rule refl :args (@t112)) % 150.86/151.55 (step @p34 (= tptp.c_reflexive_i @t116) :rule refl :args (@t116)) % 150.86/151.55 (step @p35 (= tptp.c_irreflexive_i @t117) :rule refl :args (@t117)) % 150.86/151.55 (step @p36 (= tptp.c_symmetric_i @t121) :rule refl :args (@t121)) % 150.86/151.55 (step @p37 (= tptp.c_antisymmetric_i @t122) :rule refl :args (@t122)) % 150.86/151.55 (step @p38 (= tptp.c_transitive_i @t123) :rule refl :args (@t123)) % 150.86/151.55 (step @p39 (= tptp.c_eqreln_i @t127) :rule refl :args (@t127)) % 150.86/151.55 (step @p40 (= tptp.c_per_i @t128) :rule refl :args (@t128)) % 150.86/151.55 (step @p41 (= tptp.c_linear_i @t130) :rule refl :args (@t130)) % 150.86/151.55 (step @p42 (= tptp.c_trichotomous_or_i @t131) :rule refl :args (@t131)) % 150.86/151.55 (step @p43 (= tptp.c_partialorder_i @t132) :rule refl :args (@t132)) % 150.86/151.55 (step @p44 (= tptp.c_totalorder_i @t133) :rule refl :args (@t133)) % 150.86/151.55 (step @p45 (= tptp.c_strictpartialorder_i @t134) :rule refl :args (@t134)) % 150.86/151.55 (step @p46 (= tptp.c_stricttotalorder_i @t135) :rule refl :args (@t135)) % 150.86/151.55 (step @p47 (= tptp.c_If_i @t138) :rule refl :args (@t138)) % 150.86/151.55 (step @p48 (= tptp.c_exactly1of2 @t140) :rule refl :args (@t140)) % 150.86/151.55 (step @p49 (= tptp.c_exactly1of3 @t141) :rule refl :args (@t141)) % 150.86/151.55 (step @p50 (= tptp.c_nIn @t142) :rule refl :args (@t142)) % 150.86/151.55 (step @p51 (= tptp.c_nSubq @t143) :rule refl :args (@t143)) % 150.86/151.55 (step @p52 (= tptp.c_UPair @t145) :rule refl :args (@t145)) % 150.86/151.55 (step @p53 (= tptp.c_Sing @t147) :rule refl :args (@t147)) % 150.86/151.55 (step @p54 (= tptp.c_binunion @t148) :rule refl :args (@t148)) % 150.86/151.55 (step @p55 (= tptp.c_SetAdjoin @t150) :rule refl :args (@t150)) % 150.86/151.55 (step @p56 (= tptp.c_famunion @t151) :rule refl :args (@t151)) % 150.86/151.55 (step @p57 (= tptp.c_Sep @t161) :rule refl :args (@t161)) % 150.86/151.55 (step @p58 (= tptp.c_ReplSep @t163) :rule refl :args (@t163)) % 150.86/151.55 (step @p59 (= tptp.c_binintersect @t165) :rule refl :args (@t165)) % 150.86/151.55 (step @p60 (= tptp.c_setminus @t166) :rule refl :args (@t166)) % 150.86/151.55 (step @p61 (= tptp.c_inj @t169) :rule refl :args (@t169)) % 150.86/151.55 (step @p62 (= tptp.c_bij @t171) :rule refl :args (@t171)) % 150.86/151.55 (step @p63 (= tptp.c_atleastp @t172) :rule refl :args (@t172)) % 150.86/151.55 (step @p64 (= tptp.c_equip @t173) :rule refl :args (@t173)) % 150.86/151.55 (step @p65 (= tptp.c_In_rec_poly_G_i @t179) :rule refl :args (@t179)) % 150.86/151.55 (step @p66 (= tptp.c_In_rec_poly_i @t180) :rule refl :args (@t180)) % 150.86/151.55 (step @p67 (= tptp.c_ordsucc @t181) :rule refl :args (@t181)) % 150.86/151.55 (step @p68 (= tptp.c_nat_p @t184) :rule refl :args (@t184)) % 150.86/151.55 (step @p69 (= tptp.c_nat_primrec @t188) :rule refl :args (@t188)) % 150.86/151.55 (step @p70 (= tptp.c_add_nat @t190) :rule refl :args (@t190)) % 150.86/151.55 (step @p71 (= tptp.c_mul_nat @t191) :rule refl :args (@t191)) % 150.86/151.55 (step @p72 (= tptp.c_ordinal @t192) :rule refl :args (@t192)) % 150.86/151.55 (step @p73 (= tptp.c_Inj0 @t193) :rule refl :args (@t193)) % 150.86/151.55 (step @p74 (= tptp.c_combine_funcs @t195) :rule refl :args (@t195)) % 150.86/151.55 (step @p75 (= tptp.c_setsum @t198) :rule refl :args (@t198)) % 150.86/151.55 (step @p76 (= tptp.c_proj0 @t201) :rule refl :args (@t201)) % 150.86/151.55 (step @p77 (= tptp.c_proj1 @t202) :rule refl :args (@t202)) % 150.86/151.55 (step @p78 (= tptp.c_binrep @t204) :rule refl :args (@t204)) % 150.86/151.55 (step @p79 (= tptp.c_lam @t206) :rule refl :args (@t206)) % 150.86/151.55 (step @p80 (= tptp.c_setprod @t208) :rule refl :args (@t208)) % 150.86/151.55 (step @p81 (= tptp.c_ap @t210) :rule refl :args (@t210)) % 150.86/151.55 (step @p82 (= tptp.c_setsum_p @t213) :rule refl :args (@t213)) % 150.86/151.55 (step @p83 (= tptp.c_tuple_p @t215) :rule refl :args (@t215)) % 150.86/151.55 (step @p84 (= tptp.c_Pi @t216) :rule refl :args (@t216)) % 150.86/151.55 (step @p85 (= tptp.c_setexp @t217) :rule refl :args (@t217)) % 150.86/151.55 (step @p86 (= tptp.c_Sep2 @t220) :rule refl :args (@t220)) % 150.86/151.55 (step @p87 (= tptp.c_set_of_pairs @t221) :rule refl :args (@t221)) % 150.86/151.55 (step @p88 (= tptp.c_lam2 @t223) :rule refl :args (@t223)) % 150.86/151.55 (step @p89 (= tptp.c_PNoEq_ @t226) :rule refl :args (@t226)) % 150.86/151.55 (step @p90 (= tptp.c_PNoLt_ @t227) :rule refl :args (@t227)) % 150.86/151.55 (step @p91 (= tptp.c_PNoLt @t232) :rule refl :args (@t232)) % 150.86/151.55 (step @p92 (= tptp.c_PNoLe @t233) :rule refl :args (@t233)) % 150.86/151.55 (step @p93 (= tptp.c_PNo_downc @t240) :rule refl :args (@t240)) % 150.86/151.55 (step @p94 (= tptp.c_PNo_upc @t241) :rule refl :args (@t241)) % 150.86/151.55 (step @p95 (= tptp.c_SNoElts_ @t243) :rule refl :args (@t243)) % 150.86/151.55 (step @p96 (= tptp.c_SNo_ @t245) :rule refl :args (@t245)) % 150.86/151.55 (step @p97 (= tptp.c_PSNo @t246) :rule refl :args (@t246)) % 150.86/151.55 (step @p98 (= tptp.c_SNo @t248) :rule refl :args (@t248)) % 150.86/151.55 (step @p99 (= tptp.c_SNoLev @t249) :rule refl :args (@t249)) % 150.86/151.55 (step @p100 (= tptp.c_SNoEq_ @t251) :rule refl :args (@t251)) % 150.86/151.55 (step @p101 (= tptp.c_SNoLt @t255) :rule refl :args (@t255)) % 150.86/151.55 (step @p102 (= tptp.c_SNoLe @t256) :rule refl :args (@t256)) % 150.86/151.55 (step @p103 (= tptp.c_binop_on @t257) :rule refl :args (@t257)) % 150.86/151.55 (step @p104 (= tptp.c_Loop @t263) :rule refl :args (@t263)) % 150.86/151.55 (step @p105 (= tptp.c_Loop_with_defs @t293) :rule refl :args (@t293)) % 150.86/151.55 (step @p106 (= tptp.c_Loop_with_defs_cex1 @t301) :rule refl :args (@t301)) % 150.86/151.55 (step @p107 (= tptp.c_Loop_with_defs_cex2 @t303) :rule refl :args (@t303)) % 150.86/151.55 (step @p108 (= tptp.c_combinator @t306) :rule refl :args (@t306)) % 150.86/151.55 (step @p109 (= tptp.c_combinator_equiv @t312) :rule refl :args (@t312)) % 150.86/151.55 (step @p110 (= tptp.c_equip_mod @t314) :rule refl :args (@t314)) % 150.86/151.55 (step @p111 :rule evaluate :args ((= false true))) % 150.86/151.55 ; WARNING: add trust step for TRUST % 150.86/151.55 ; trust TRUST PREPROCESS_HO_ELIM % 150.86/151.55 (step @p112 :rule trust :premises () :args ((= @t435 (and (forall (@list @t325 @t322 @t324 @t320 @t321) (= @t320 (_ @t317 (_ @t326 @t325 (_ @t317 @t329 (_ @t317 @t333 (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 (_ @t317 @t327 (_ @t317 (_ @t326 @t325 (_ @t317 @t329 (_ @t317 @t329 (_ @t317 (_ @t326 @t325 (_ @t317 @t329 (_ @t317 @t336 (_ @t317 (_ @t326 @t325 (_ @t317 @t333 (_ @t317 @t327 (_ @t317 @t327 @t320)))) @t324)))) (_ @t317 (_ @t326 @t325 (_ @t317 @t322 (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 @t328) @t324)) @t332))) (_ @t317 @t327 (_ @t317 @t327 (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 (_ @t317 @t329 (_ @t317 (_ @t326 @t325 (_ @t317 @t329 (_ @t317 (_ @t326 @t325 @t323) @t321))) @t335))) @t320)) (_ @t317 @t322 (_ @t317 (_ @t326 @t325 (_ @t317 @t333 (_ @t317 @t329 (_ @t317 (_ @t326 @t325 (_ @t317 @t322 @t330)) @t324)))) (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 (_ @t317 @t327 (_ @t317 @t336 @t320))) @t320)) (_ @t317 @t322 (_ @t317 @t322 (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 (_ @t317 @t329 (_ @t317 (_ @t326 @t325 (_ @t317 @t327 (_ @t317 (_ @t326 @t325 @t334) @t321))) @t320))) @t321)) (_ @t317 @t333 @t332))) @t320)))))))))))))) (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 (_ @t317 @t327 @t332)) (_ @t317 @t322 (_ @t317 @t322 (_ @t317 @t333 (_ @t317 @t322 @t335)))))) @t324)) @t320)) (_ @t317 @t327 @t321))))) @t324)) @t324)) @t323)))) (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 (_ @t317 @t322 (_ @t317 (_ @t326 @t325 (_ @t317 @t322 (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 (_ @t317 @t333 (_ @t317 (_ @t326 @t325 (_ @t317 @t322 (_ @t317 @t322 (_ @t317 (_ @t326 @t325 (_ @t317 @t329 @t320)) @t321)))) (_ @t317 @t322 @t332)))) @t324)) @t331)) (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 @t330) (_ @t317 @t322 (_ @t317 @t322 @t328)))) @t321)) @t320)) @t324)))) (_ @t317 (_ @t326 @t325 (_ @t317 (_ @t326 @t325 (_ @t317 @t327 @t324)) @t323)) @t320)))) @t321)) @t320)))) (forall (@list @t318 @t316 @t315) (_ @t319 @t318 (_ @t317 @t316 @t315))))))) % 150.86/151.55 (step @p113 :rule bool-double-not-elim :args (@t435)) % 150.86/151.55 (step @p114 :rule bool-impl-false1 :args (@t435)) % 150.86/151.55 (step @p115 :rule cong :premises (@p114) :args ((not (=> @t435 false)))) % 150.86/151.55 (step @p116 :rule trans :premises (@p115 @p113)) % 150.86/151.55 (step @p117 :rule bool-eq-false :args (tptp.c_False)) % 150.86/151.55 (step @p118 :rule symm :premises (@p117)) % 150.86/151.55 (step @p119 :rule aci_norm :args ((= (and true @t436) @t436))) % 150.86/151.55 (step @p120 :rule refl :args (@t436)) % 150.86/151.55 (step @p121 :rule absorb :args ((= (or true tptp.c_False) true))) % 150.86/151.55 (step @p122 :rule refl :args (tptp.c_False)) % 150.86/151.55 (step @p123 :rule evaluate :args (@t437)) % 150.86/151.55 (step @p124 :rule nary_cong :premises (@p123 @p122) :args (@t438)) % 150.86/151.55 (step @p125 :rule trans :premises (@p124 @p121)) % 150.86/151.55 (step @p126 :rule nary_cong :premises (@p125 @p120) :args (@t439)) % 150.86/151.55 (step @p127 :rule trans :premises (@p126 @p119)) % 150.86/151.55 (step @p128 :rule aci_norm :args ((= @t440 @t439))) % 150.86/151.55 (step @p129 :rule trans :premises (@p128 @p127)) % 150.86/151.55 (step @p130 :rule quant-var-elim-eq :args ((= (forall @t7 (or (not (= @t4 false)) @t442 @t4)) @t440))) % 150.86/151.55 (step @p131 :rule refl :args (@t4)) % 150.86/151.55 (step @p132 :rule refl :args (@t442)) % 150.86/151.55 (step @p133 :rule bool-eq-false :args (@t4)) % 150.86/151.55 (step @p134 :rule symm :premises (@p133)) % 150.86/151.55 (step @p135 :rule cong :premises (@p134) :args ((not @t441))) % 150.86/151.55 (step @p136 :rule bool-double-not-elim :args (@t4)) % 150.86/151.55 (step @p137 :rule symm :premises (@p136)) % 150.86/151.55 (step @p138 :rule trans :premises (@p137 @p135)) % 150.86/151.55 (step @p139 :rule nary_cong :premises (@p138 @p132 @p131) :args (@t443)) % 150.86/151.55 (step @p140 :rule aci_norm :args ((= @t444 @t443))) % 150.86/151.55 (step @p141 :rule trans :premises (@p140 @p139)) % 150.86/151.55 (step @p142 :rule cong :premises (@p141) :args ((forall @t7 @t444))) % 150.86/151.55 (step @p143 :rule trans :premises (@p142 @p130)) % 150.86/151.55 (step @p144 :rule trans :premises (@p143 @p129)) % 150.86/151.55 (step @p145 :rule refl :args (@t436)) % 150.86/151.55 (step @p146 :rule bool-impl-elim :args (@t4 tptp.c_False)) % 150.86/151.55 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((and @t82 @t436))) % 150.86/151.55 (step @p148 :rule bool-implies-de-morgan :args (@t82 tptp.c_False)) % 150.86/151.55 (step @p149 :rule trans :premises (@p148 @p147)) % 150.86/151.55 (step @p150 :rule nary_cong :premises (@p149 @p131) :args ((or (not @t445) @t4))) % 150.86/151.55 (step @p151 :rule bool-impl-elim :args (@t445 @t4)) % 150.86/151.55 (step @p152 :rule trans :premises (@p151 @p150)) % 150.86/151.55 (step @p153 :rule cong :premises (@p152) :args ((forall @t7 (=> @t445 @t4)))) % 150.86/151.55 (step @p154 :rule trans :premises (@p153 @p144)) % 150.86/151.55 (step @p155 :rule refl :args (@t4)) % 150.86/151.55 (step @p156 :rule beta-reduce :args ((= (_ @t83 @t82) @t445))) % 150.86/151.55 (step @p157 :rule beta-reduce :args ((= @t446 @t82))) % 150.86/151.55 (step @p158 :rule refl :args (@t83)) % 150.86/151.55 (step @p159 :rule ho_cong :premises (@p158 @p157)) % 150.86/151.55 (step @p160 :rule trans :premises (@p159 @p156)) % 150.86/151.55 (step @p161 :rule cong :premises (@p160 @p155) :args (@t447)) % 150.86/151.55 (step @p162 :rule cong :premises (@p161) :args ((forall @t7 @t447))) % 150.86/151.55 (step @p163 :rule trans :premises (@p162 @p154)) % 150.86/151.55 (step @p164 :rule ho_cong :premises (@p18 @p155)) % 150.86/151.55 (step @p165 :rule ho_cong :premises (@p18 @p164)) % 150.86/151.55 (step @p166 :rule cong :premises (@p165 @p155) :args (@t6)) % 150.86/151.55 (step @p167 :rule cong :premises (@p166) :args (@t8)) % 150.86/151.55 (step @p168 :rule trans :premises (@p167 @p163)) % 150.86/151.55 (step @p169 :rule eq_resolve :premises (@p2 @p168)) % 150.86/151.55 (step @p170 :rule eq_resolve :premises (@p169 @p118)) % 150.86/151.55 (step @p171 :rule refl :args (@t435)) % 150.86/151.55 (step @p172 :rule cong :premises (@p171 @p170) :args (@t448)) % 150.86/151.55 (step @p173 :rule cong :premises (@p172) :args ((not @t448))) % 150.86/151.55 (step @p174 :rule trans :premises (@p173 @p116)) % 150.86/151.55 (step @p175 :rule beta-reduce :args ((= (_ @t83 @t435) @t448))) % 150.86/151.55 (step @p176 :rule refl :args ((_ @t339 @t449))) % 150.86/151.55 (step @p177 :rule refl :args (@t338)) % 150.86/151.55 (step @p178 :rule cong :premises (@p177) :args (@t340)) % 150.86/151.55 (step @p179 :rule trans :premises (@p178 @p176)) % 150.86/151.55 (step @p180 :rule refl :args (@t339)) % 150.86/151.55 (step @p181 :rule ho_cong :premises (@p180 @p177)) % 150.86/151.55 (step @p182 :rule cong :premises (@p181 @p179) :args ((= (_ @t339 @t338) @t340))) % 150.86/151.55 (step @p183 :rule symm :premises (@p182)) % 150.86/151.55 (step @p184 :rule refl :args (@t450)) % 150.86/151.55 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 150.86/151.55 (step @p186 :rule refl :args (@t449)) % 150.86/151.55 (step @p187 :rule cong :premises (@p186 @p177) :args ((= @t449 @t338))) % 150.86/151.55 (step @p188 :rule symm :premises (@p187)) % 150.86/151.55 (step @p189 :rule eq_resolve :premises (@p186 @p188)) % 150.86/151.55 (step @p190 :rule ho_cong :premises (@p180 @p189)) % 150.86/151.55 (step @p191 :rule trans :premises (@p190 @p185)) % 150.86/151.55 (step @p192 :rule cong :premises (@p191) :args (@t451)) % 150.86/151.55 (step @p193 :rule quant-unused-vars :args ((= @t457 @t451))) % 150.86/151.55 (step @p194 :rule trans :premises (@p193 @p192)) % 150.86/151.55 (step @p195 :rule refl :args ((_ @t344 @t550 @t489))) % 150.86/151.55 (step @p196 :rule refl :args ((_ @t344 @t488 @t320))) % 150.86/151.55 (step @p197 :rule refl :args (@t320)) % 150.86/151.55 (step @p198 :rule refl :args ((_ @t344 @t487 @t321))) % 150.86/151.55 (step @p199 :rule refl :args (@t321)) % 150.86/151.55 (step @p200 :rule refl :args ((_ @t342 @t486))) % 150.86/151.55 (step @p201 :rule refl :args ((_ @t344 @t485 @t462))) % 150.86/151.55 (step @p202 :rule refl :args ((_ @t344 @t461 @t320))) % 150.86/151.55 (step @p203 :rule refl :args ((_ @t344 @t460 @t458))) % 150.86/151.55 (step @p204 :rule refl :args (@t343)) % 150.86/151.55 (step @p205 :rule refl :args (@t345)) % 150.86/151.55 (step @p206 :rule cong :premises (@p205 @p204) :args (@t346)) % 150.86/151.55 (step @p207 :rule trans :premises (@p206 @p203)) % 150.86/151.55 (step @p208 :rule cong :premises (@p207 @p197) :args (@t347)) % 150.86/151.55 (step @p209 :rule trans :premises (@p208 @p202)) % 150.86/151.55 (step @p210 :rule refl :args ((_ @t342 @t484))) % 150.86/151.55 (step @p211 :rule refl :args ((_ @t344 @t483 @t471))) % 150.86/151.55 (step @p212 :rule refl :args ((_ @t344 @t470 @t324))) % 150.86/151.55 (step @p213 :rule refl :args (@t324)) % 150.86/151.55 (step @p214 :rule refl :args ((_ @t344 @t469 @t320))) % 150.86/151.55 (step @p215 :rule refl :args ((_ @t344 @t468 @t321))) % 150.86/151.55 (step @p216 :rule refl :args ((_ @t344 @t467 @t465))) % 150.86/151.55 (step @p217 :rule refl :args ((_ @t342 @t464))) % 150.86/151.55 (step @p218 :rule refl :args ((_ @t342 @t463))) % 150.86/151.55 (step @p219 :rule refl :args (@t348)) % 150.86/151.55 (step @p220 :rule cong :premises (@p219) :args (@t349)) % 150.86/151.55 (step @p221 :rule trans :premises (@p220 @p218)) % 150.86/151.55 (step @p222 :rule cong :premises (@p221) :args (@t350)) % 150.86/151.55 (step @p223 :rule trans :premises (@p222 @p217)) % 150.86/151.55 (step @p224 :rule refl :args (@t351)) % 150.86/151.55 (step @p225 :rule cong :premises (@p224 @p223) :args (@t352)) % 150.86/151.55 (step @p226 :rule trans :premises (@p225 @p216)) % 150.86/151.55 (step @p227 :rule cong :premises (@p226 @p199) :args (@t353)) % 150.86/151.55 (step @p228 :rule trans :premises (@p227 @p215)) % 150.86/151.55 (step @p229 :rule cong :premises (@p228 @p197) :args (@t354)) % 150.86/151.55 (step @p230 :rule trans :premises (@p229 @p214)) % 150.86/151.55 (step @p231 :rule cong :premises (@p230 @p213) :args (@t355)) % 150.86/151.55 (step @p232 :rule trans :premises (@p231 @p212)) % 150.86/151.55 (step @p233 :rule refl :args ((_ @t344 @t482 @t472))) % 150.86/151.55 (step @p234 :rule refl :args (@t356)) % 150.86/151.55 (step @p235 :rule refl :args ((_ @t344 @t481 @t324))) % 150.86/151.55 (step @p236 :rule refl :args ((_ @t344 @t321 @t479))) % 150.86/151.55 (step @p237 :rule refl :args ((_ @t344 @t478 @t474))) % 150.86/151.55 (step @p238 :rule refl :args ((_ @t342 @t473))) % 150.86/151.55 (step @p239 :rule refl :args (@t357)) % 150.86/151.55 (step @p240 :rule cong :premises (@p239) :args (@t358)) % 150.86/151.55 (step @p241 :rule trans :premises (@p240 @p238)) % 150.86/151.55 (step @p242 :rule refl :args ((_ @t342 @t477))) % 150.86/151.55 (step @p243 :rule refl :args ((_ @t342 @t476))) % 150.86/151.55 (step @p244 :rule refl :args ((_ @t344 @t475 @t321))) % 150.86/151.55 (step @p245 :rule refl :args (@t359)) % 150.86/151.55 (step @p246 :rule cong :premises (@p245 @p199) :args (@t360)) % 150.86/151.55 (step @p247 :rule trans :premises (@p246 @p244)) % 150.86/151.55 (step @p248 :rule cong :premises (@p247) :args (@t361)) % 150.86/151.55 (step @p249 :rule trans :premises (@p248 @p243)) % 150.86/151.55 (step @p250 :rule cong :premises (@p249) :args (@t362)) % 150.86/151.55 (step @p251 :rule trans :premises (@p250 @p242)) % 150.86/151.55 (step @p252 :rule cong :premises (@p251 @p241) :args (@t363)) % 150.86/151.55 (step @p253 :rule trans :premises (@p252 @p237)) % 150.86/151.55 (step @p254 :rule cong :premises (@p199 @p253) :args (@t364)) % 150.86/151.55 (step @p255 :rule trans :premises (@p254 @p236)) % 150.86/151.55 (step @p256 :rule cong :premises (@p255 @p213) :args (@t365)) % 150.86/151.55 (step @p257 :rule trans :premises (@p256 @p235)) % 150.86/151.55 (step @p258 :rule cong :premises (@p257 @p234) :args (@t366)) % 150.86/151.55 (step @p259 :rule trans :premises (@p258 @p233)) % 150.86/151.55 (step @p260 :rule cong :premises (@p259 @p232) :args (@t367)) % 150.86/151.55 (step @p261 :rule trans :premises (@p260 @p211)) % 150.86/151.55 (step @p262 :rule cong :premises (@p261) :args (@t368)) % 150.86/151.55 (step @p263 :rule trans :premises (@p262 @p210)) % 150.86/151.55 (step @p264 :rule cong :premises (@p263 @p209) :args (@t369)) % 150.86/151.55 (step @p265 :rule trans :premises (@p264 @p201)) % 150.86/151.55 (step @p266 :rule cong :premises (@p265) :args (@t370)) % 150.86/151.55 (step @p267 :rule trans :premises (@p266 @p200)) % 150.86/151.55 (step @p268 :rule cong :premises (@p267 @p199) :args (@t371)) % 150.86/151.55 (step @p269 :rule trans :premises (@p268 @p198)) % 150.86/151.55 (step @p270 :rule cong :premises (@p269 @p197) :args (@t372)) % 150.86/151.55 (step @p271 :rule trans :premises (@p270 @p196)) % 150.86/151.55 (step @p272 :rule refl :args ((_ @t344 @t324 @t549))) % 150.86/151.55 (step @p273 :rule refl :args ((_ @t344 @t321 @t548))) % 150.86/151.55 (step @p274 :rule refl :args ((_ @t344 @t547 @t458))) % 150.86/151.55 (step @p275 :rule refl :args ((_ @t344 @t546 @t324))) % 150.86/151.55 (step @p276 :rule refl :args ((_ @t344 @t545 @t324))) % 150.86/151.55 (step @p277 :rule refl :args ((_ @t344 @t320 @t544))) % 150.86/151.55 (step @p278 :rule refl :args ((_ @t344 @t543 @t501))) % 150.86/151.55 (step @p279 :rule refl :args ((_ @t344 @t500 @t490))) % 150.86/151.55 (step @p280 :rule refl :args (@t373)) % 150.86/151.55 (step @p281 :rule refl :args ((_ @t344 @t499 @t320))) % 150.86/151.55 (step @p282 :rule refl :args ((_ @t344 @t498 @t324))) % 150.86/151.55 (step @p283 :rule refl :args ((_ @t344 @t497 @t496))) % 150.86/151.55 (step @p284 :rule refl :args ((_ @t342 @t495))) % 150.86/151.55 (step @p285 :rule refl :args ((_ @t342 @t494))) % 150.86/151.55 (step @p286 :rule refl :args ((_ @t344 @t321 @t493))) % 150.86/151.55 (step @p287 :rule refl :args ((_ @t342 @t492))) % 150.86/151.55 (step @p288 :rule refl :args ((_ @t342 @t491))) % 150.86/151.55 (step @p289 :rule refl :args (@t374)) % 150.86/151.55 (step @p290 :rule cong :premises (@p289) :args (@t375)) % 150.86/151.55 (step @p291 :rule trans :premises (@p290 @p288)) % 150.86/151.55 (step @p292 :rule cong :premises (@p291) :args (@t376)) % 150.86/151.55 (step @p293 :rule trans :premises (@p292 @p287)) % 150.86/151.55 (step @p294 :rule cong :premises (@p199 @p293) :args (@t377)) % 150.86/151.55 (step @p295 :rule trans :premises (@p294 @p286)) % 150.86/151.55 (step @p296 :rule cong :premises (@p295) :args (@t378)) % 150.86/151.55 (step @p297 :rule trans :premises (@p296 @p285)) % 150.86/151.55 (step @p298 :rule cong :premises (@p297) :args (@t379)) % 150.86/151.55 (step @p299 :rule trans :premises (@p298 @p284)) % 150.86/151.55 (step @p300 :rule refl :args ((_ @t344 @t320 @t473))) % 150.86/151.55 (step @p301 :rule cong :premises (@p197 @p239) :args (@t380)) % 150.86/151.55 (step @p302 :rule trans :premises (@p301 @p300)) % 150.86/151.55 (step @p303 :rule cong :premises (@p302 @p299) :args (@t381)) % 150.86/151.55 (step @p304 :rule trans :premises (@p303 @p283)) % 150.86/151.55 (step @p305 :rule cong :premises (@p304 @p213) :args (@t382)) % 150.86/151.55 (step @p306 :rule trans :premises (@p305 @p282)) % 150.86/151.55 (step @p307 :rule cong :premises (@p306 @p197) :args (@t383)) % 150.86/151.55 (step @p308 :rule trans :premises (@p307 @p281)) % 150.86/151.55 (step @p309 :rule cong :premises (@p308 @p280) :args (@t384)) % 150.86/151.55 (step @p310 :rule trans :premises (@p309 @p279)) % 150.86/151.55 (step @p311 :rule refl :args ((_ @t344 @t324 @t542))) % 150.86/151.55 (step @p312 :rule refl :args ((_ @t344 @t324 @t541))) % 150.86/151.55 (step @p313 :rule refl :args ((_ @t344 @t540 @t534))) % 150.86/151.55 (step @p314 :rule refl :args ((_ @t344 @t533 @t530))) % 150.86/151.55 (step @p315 :rule refl :args ((_ @t344 @t320 @t529))) % 150.86/151.55 (step @p316 :rule refl :args ((_ @t344 @t320 @t528))) % 150.86/151.55 (step @p317 :rule refl :args ((_ @t344 @t527 @t522))) % 150.86/151.55 (step @p318 :rule refl :args ((_ @t342 @t521))) % 150.86/151.55 (step @p319 :rule refl :args ((_ @t344 @t520 @t516))) % 150.86/151.55 (step @p320 :rule refl :args ((_ @t344 @t515 @t511))) % 150.86/151.55 (step @p321 :rule refl :args ((_ @t342 @t510))) % 150.86/151.55 (step @p322 :rule refl :args ((_ @t342 @t509))) % 150.86/151.55 (step @p323 :rule refl :args ((_ @t344 @t508 @t320))) % 150.86/151.55 (step @p324 :rule refl :args ((_ @t344 @t507 @t502))) % 150.86/151.55 (step @p325 :rule refl :args ((_ @t344 @t321 @t473))) % 150.86/151.55 (step @p326 :rule cong :premises (@p199 @p239) :args (@t385)) % 150.86/151.55 (step @p327 :rule trans :premises (@p326 @p325)) % 150.86/151.55 (step @p328 :rule refl :args ((_ @t344 @t506 @t321))) % 150.86/151.55 (step @p329 :rule refl :args ((_ @t344 @t324 @t505))) % 150.86/151.55 (step @p330 :rule refl :args ((_ @t344 @t504 @t320))) % 150.86/151.55 (step @p331 :rule refl :args ((_ @t344 @t320 @t503))) % 150.86/151.55 (step @p332 :rule refl :args ((_ @t344 @t491 @t321))) % 150.86/151.55 (step @p333 :rule cong :premises (@p289 @p199) :args (@t386)) % 150.86/151.55 (step @p334 :rule trans :premises (@p333 @p332)) % 150.86/151.55 (step @p335 :rule cong :premises (@p197 @p334) :args (@t387)) % 150.86/151.55 (step @p336 :rule trans :premises (@p335 @p331)) % 150.86/151.55 (step @p337 :rule cong :premises (@p336 @p197) :args (@t388)) % 150.86/151.55 (step @p338 :rule trans :premises (@p337 @p330)) % 150.86/151.55 (step @p339 :rule cong :premises (@p213 @p338) :args (@t389)) % 150.86/151.55 (step @p340 :rule trans :premises (@p339 @p329)) % 150.86/151.55 (step @p341 :rule cong :premises (@p340 @p199) :args (@t390)) % 150.86/151.55 (step @p342 :rule trans :premises (@p341 @p328)) % 150.86/151.55 (step @p343 :rule cong :premises (@p342 @p327) :args (@t391)) % 150.86/151.55 (step @p344 :rule trans :premises (@p343 @p324)) % 150.86/151.55 (step @p345 :rule cong :premises (@p344 @p197) :args (@t392)) % 150.86/151.55 (step @p346 :rule trans :premises (@p345 @p323)) % 150.86/151.55 (step @p347 :rule cong :premises (@p346) :args (@t393)) % 150.86/151.55 (step @p348 :rule trans :premises (@p347 @p322)) % 150.86/151.55 (step @p349 :rule cong :premises (@p348) :args (@t394)) % 150.86/151.55 (step @p350 :rule trans :premises (@p349 @p321)) % 150.86/151.55 (step @p351 :rule refl :args ((_ @t344 @t514 @t320))) % 150.86/151.55 (step @p352 :rule refl :args ((_ @t344 @t320 @t513))) % 150.86/151.55 (step @p353 :rule refl :args ((_ @t344 @t472 @t320))) % 150.86/151.55 (step @p354 :rule cong :premises (@p234 @p197) :args (@t395)) % 150.86/151.55 (step @p355 :rule trans :premises (@p354 @p353)) % 150.86/151.55 (step @p356 :rule cong :premises (@p197 @p355) :args (@t396)) % 150.86/151.55 (step @p357 :rule trans :premises (@p356 @p352)) % 150.86/151.55 (step @p358 :rule cong :premises (@p357 @p197) :args (@t397)) % 150.86/151.55 (step @p359 :rule trans :premises (@p358 @p351)) % 150.86/151.55 (step @p360 :rule cong :premises (@p359 @p350) :args (@t398)) % 150.86/151.55 (step @p361 :rule trans :premises (@p360 @p320)) % 150.86/151.55 (step @p362 :rule refl :args ((_ @t344 @t321 @t519))) % 150.86/151.55 (step @p363 :rule refl :args ((_ @t344 @t324 @t518))) % 150.86/151.55 (step @p364 :rule refl :args ((_ @t344 @t517 @t324))) % 150.86/151.55 (step @p365 :rule refl :args ((_ @t342 @t467))) % 150.86/151.55 (step @p366 :rule cong :premises (@p224) :args (@t399)) % 150.86/151.55 (step @p367 :rule trans :premises (@p366 @p365)) % 150.86/151.55 (step @p368 :rule cong :premises (@p367 @p213) :args (@t400)) % 150.86/151.55 (step @p369 :rule trans :premises (@p368 @p364)) % 150.86/151.55 (step @p370 :rule cong :premises (@p213 @p369) :args (@t401)) % 150.86/151.55 (step @p371 :rule trans :premises (@p370 @p363)) % 150.86/151.55 (step @p372 :rule cong :premises (@p199 @p371) :args (@t402)) % 150.86/151.55 (step @p373 :rule trans :premises (@p372 @p362)) % 150.86/151.55 (step @p374 :rule cong :premises (@p373 @p361) :args (@t403)) % 150.86/151.55 (step @p375 :rule trans :premises (@p374 @p319)) % 150.86/151.55 (step @p376 :rule cong :premises (@p375) :args (@t404)) % 150.86/151.55 (step @p377 :rule trans :premises (@p376 @p318)) % 150.86/151.55 (step @p378 :rule refl :args ((_ @t344 @t526 @t320))) % 150.86/151.55 (step @p379 :rule refl :args ((_ @t344 @t324 @t525))) % 150.86/151.55 (step @p380 :rule refl :args ((_ @t344 @t524 @t492))) % 150.86/151.55 (step @p381 :rule refl :args ((_ @t344 @t324 @t523))) % 150.86/151.55 (step @p382 :rule refl :args ((_ @t344 @t458 @t321))) % 150.86/151.55 (step @p383 :rule cong :premises (@p204 @p199) :args (@t405)) % 150.86/151.55 (step @p384 :rule trans :premises (@p383 @p382)) % 150.86/151.55 (step @p385 :rule cong :premises (@p213 @p384) :args (@t406)) % 150.86/151.55 (step @p386 :rule trans :premises (@p385 @p381)) % 150.86/151.55 (step @p387 :rule cong :premises (@p386 @p291) :args (@t407)) % 150.86/151.55 (step @p388 :rule trans :premises (@p387 @p380)) % 150.86/151.55 (step @p389 :rule cong :premises (@p213 @p388) :args (@t408)) % 150.86/151.55 (step @p390 :rule trans :premises (@p389 @p379)) % 150.86/151.55 (step @p391 :rule cong :premises (@p390 @p197) :args (@t409)) % 150.86/151.55 (step @p392 :rule trans :premises (@p391 @p378)) % 150.86/151.55 (step @p393 :rule cong :premises (@p392 @p377) :args (@t410)) % 150.86/151.55 (step @p394 :rule trans :premises (@p393 @p317)) % 150.86/151.55 (step @p395 :rule cong :premises (@p197 @p394) :args (@t411)) % 150.86/151.55 (step @p396 :rule trans :premises (@p395 @p316)) % 150.86/151.55 (step @p397 :rule cong :premises (@p197 @p396) :args (@t412)) % 150.86/151.55 (step @p398 :rule trans :premises (@p397 @p315)) % 150.86/151.55 (step @p399 :rule refl :args ((_ @t342 @t532))) % 150.86/151.55 (step @p400 :rule refl :args ((_ @t344 @t531 @t473))) % 150.86/151.55 (step @p401 :rule refl :args ((_ @t344 @t463 @t324))) % 150.86/151.55 (step @p402 :rule cong :premises (@p219 @p213) :args (@t413)) % 150.86/151.55 (step @p403 :rule trans :premises (@p402 @p401)) % 150.86/151.55 (step @p404 :rule cong :premises (@p403 @p239) :args (@t414)) % 150.86/151.55 (step @p405 :rule trans :premises (@p404 @p400)) % 150.86/151.55 (step @p406 :rule cong :premises (@p405) :args (@t415)) % 150.86/151.55 (step @p407 :rule trans :premises (@p406 @p399)) % 150.86/151.55 (step @p408 :rule cong :premises (@p407 @p398) :args (@t416)) % 150.86/151.55 (step @p409 :rule trans :premises (@p408 @p314)) % 150.86/151.55 (step @p410 :rule refl :args ((_ @t344 @t324 @t539))) % 150.86/151.55 (step @p411 :rule refl :args ((_ @t344 @t472 @t538))) % 150.86/151.55 (step @p412 :rule refl :args ((_ @t344 @t537 @t324))) % 150.86/151.55 (step @p413 :rule refl :args ((_ @t344 @t321 @t536))) % 150.86/151.55 (step @p414 :rule refl :args ((_ @t344 @t320 @t535))) % 150.86/151.55 (step @p415 :rule refl :args (@t417)) % 150.86/151.55 (step @p416 :rule cong :premises (@p197 @p415) :args (@t418)) % 150.86/151.55 (step @p417 :rule trans :premises (@p416 @p414)) % 150.86/151.55 (step @p418 :rule cong :premises (@p199 @p417) :args (@t419)) % 150.86/151.55 (step @p419 :rule trans :premises (@p418 @p413)) % 150.86/151.55 (step @p420 :rule cong :premises (@p419 @p213) :args (@t420)) % 150.86/151.55 (step @p421 :rule trans :premises (@p420 @p412)) % 150.86/151.55 (step @p422 :rule cong :premises (@p234 @p421) :args (@t421)) % 150.86/151.55 (step @p423 :rule trans :premises (@p422 @p411)) % 150.86/151.55 (step @p424 :rule cong :premises (@p213 @p423) :args (@t422)) % 150.86/151.55 (step @p425 :rule trans :premises (@p424 @p410)) % 150.86/151.55 (step @p426 :rule cong :premises (@p425 @p409) :args (@t423)) % 150.86/151.55 (step @p427 :rule trans :premises (@p426 @p313)) % 150.86/151.55 (step @p428 :rule cong :premises (@p213 @p427) :args (@t424)) % 150.86/151.55 (step @p429 :rule trans :premises (@p428 @p312)) % 150.86/151.55 (step @p430 :rule cong :premises (@p213 @p429) :args (@t425)) % 150.86/151.55 (step @p431 :rule trans :premises (@p430 @p311)) % 150.86/151.55 (step @p432 :rule cong :premises (@p431 @p310) :args (@t426)) % 150.86/151.55 (step @p433 :rule trans :premises (@p432 @p278)) % 150.86/151.55 (step @p434 :rule cong :premises (@p197 @p433) :args (@t427)) % 150.86/151.55 (step @p435 :rule trans :premises (@p434 @p277)) % 150.86/151.55 (step @p436 :rule cong :premises (@p435 @p213) :args (@t428)) % 150.86/151.55 (step @p437 :rule trans :premises (@p436 @p276)) % 150.86/151.55 (step @p438 :rule cong :premises (@p437 @p213) :args (@t429)) % 150.86/151.55 (step @p439 :rule trans :premises (@p438 @p275)) % 150.86/151.55 (step @p440 :rule cong :premises (@p439 @p204) :args (@t430)) % 150.86/151.55 (step @p441 :rule trans :premises (@p440 @p274)) % 150.86/151.55 (step @p442 :rule cong :premises (@p199 @p441) :args (@t431)) % 150.86/151.55 (step @p443 :rule trans :premises (@p442 @p273)) % 150.86/151.55 (step @p444 :rule cong :premises (@p213 @p443) :args (@t432)) % 150.86/151.55 (step @p445 :rule trans :premises (@p444 @p272)) % 150.86/151.55 (step @p446 :rule cong :premises (@p445 @p271) :args (@t433)) % 150.86/151.55 (step @p447 :rule trans :premises (@p446 @p195)) % 150.86/151.55 (step @p448 :rule refl :args (@t344)) % 150.86/151.55 (step @p449 :rule ho_cong :premises (@p448 @p445)) % 150.86/151.55 (step @p450 :rule ho_cong :premises (@p449 @p271)) % 150.86/151.55 (step @p451 :rule cong :premises (@p450 @p447) :args ((= (_ (_ @t344 @t432) @t372) @t433))) % 150.86/151.55 (step @p452 :rule symm :premises (@p451)) % 150.86/151.55 (step @p453 :rule refl :args (@t551)) % 150.86/151.55 (step @p454 :rule eq_resolve :premises (@p453 @p452)) % 150.86/151.55 (step @p455 :rule ho_cong :premises (@p448 @p269)) % 150.86/151.55 (step @p456 :rule ho_cong :premises (@p455 @p197)) % 150.86/151.55 (step @p457 :rule cong :premises (@p456 @p271) :args ((= (_ (_ @t344 @t371) @t320) @t372))) % 150.86/151.55 (step @p458 :rule symm :premises (@p457)) % 150.86/151.55 (step @p459 :rule refl :args (@t489)) % 150.86/151.55 (step @p460 :rule eq_resolve :premises (@p459 @p458)) % 150.86/151.55 (step @p461 :rule ho_cong :premises (@p448 @p267)) % 150.86/151.55 (step @p462 :rule ho_cong :premises (@p461 @p199)) % 150.86/151.55 (step @p463 :rule cong :premises (@p462 @p269) :args ((= (_ (_ @t344 @t370) @t321) @t371))) % 150.86/151.55 (step @p464 :rule symm :premises (@p463)) % 150.86/151.55 (step @p465 :rule refl :args (@t488)) % 150.86/151.55 (step @p466 :rule eq_resolve :premises (@p465 @p464)) % 150.86/151.55 (step @p467 :rule refl :args (@t342)) % 150.86/151.55 (step @p468 :rule ho_cong :premises (@p467 @p265)) % 150.86/151.55 (step @p469 :rule cong :premises (@p468 @p267) :args ((= (_ @t342 @t369) @t370))) % 150.86/151.55 (step @p470 :rule symm :premises (@p469)) % 150.86/151.55 (step @p471 :rule refl :args (@t487)) % 150.86/151.55 (step @p472 :rule eq_resolve :premises (@p471 @p470)) % 150.86/151.55 (step @p473 :rule ho_cong :premises (@p448 @p263)) % 150.86/151.55 (step @p474 :rule ho_cong :premises (@p473 @p209)) % 150.86/151.55 (step @p475 :rule cong :premises (@p474 @p265) :args ((= (_ (_ @t344 @t368) @t347) @t369))) % 150.86/151.55 (step @p476 :rule symm :premises (@p475)) % 150.86/151.55 (step @p477 :rule refl :args (@t486)) % 150.86/151.55 (step @p478 :rule eq_resolve :premises (@p477 @p476)) % 150.86/151.55 (step @p479 :rule ho_cong :premises (@p448 @p207)) % 150.86/151.55 (step @p480 :rule ho_cong :premises (@p479 @p197)) % 150.86/151.55 (step @p481 :rule cong :premises (@p480 @p209) :args ((= (_ (_ @t344 @t346) @t320) @t347))) % 150.86/151.55 (step @p482 :rule symm :premises (@p481)) % 150.86/151.55 (step @p483 :rule refl :args (@t462)) % 150.86/151.55 (step @p484 :rule eq_resolve :premises (@p483 @p482)) % 150.86/151.55 (step @p485 :rule ho_cong :premises (@p448 @p205)) % 150.86/151.55 (step @p486 :rule ho_cong :premises (@p485 @p204)) % 150.86/151.55 (step @p487 :rule cong :premises (@p486 @p207) :args ((= (_ (_ @t344 @t345) @t343) @t346))) % 150.86/151.55 (step @p488 :rule symm :premises (@p487)) % 150.86/151.55 (step @p489 :rule refl :args (@t461)) % 150.86/151.55 (step @p490 :rule eq_resolve :premises (@p489 @p488)) % 150.86/151.55 (step @p491 :rule refl :args (@t458)) % 150.86/151.55 (step @p492 :rule cong :premises (@p491 @p204) :args ((= @t458 @t343))) % 150.86/151.55 (step @p493 :rule symm :premises (@p492)) % 150.86/151.55 (step @p494 :rule eq_resolve :premises (@p491 @p493)) % 150.86/151.55 (step @p495 :rule refl :args (@t460)) % 150.86/151.55 (step @p496 :rule cong :premises (@p495 @p205) :args ((= @t460 @t345))) % 150.86/151.55 (step @p497 :rule symm :premises (@p496)) % 150.86/151.55 (step @p498 :rule eq_resolve :premises (@p495 @p497)) % 150.86/151.55 (step @p499 :rule ho_cong :premises (@p448 @p498)) % 150.86/151.55 (step @p500 :rule ho_cong :premises (@p499 @p494)) % 150.86/151.55 (step @p501 :rule trans :premises (@p500 @p490)) % 150.86/151.55 (step @p502 :rule ho_cong :premises (@p448 @p501)) % 150.86/151.55 (step @p503 :rule ho_cong :premises (@p502 @p197)) % 150.86/151.55 (step @p504 :rule trans :premises (@p503 @p484)) % 150.86/151.55 (step @p505 :rule ho_cong :premises (@p467 @p261)) % 150.86/151.55 (step @p506 :rule cong :premises (@p505 @p263) :args ((= (_ @t342 @t367) @t368))) % 150.86/151.55 (step @p507 :rule symm :premises (@p506)) % 150.86/151.55 (step @p508 :rule refl :args (@t485)) % 150.86/151.55 (step @p509 :rule eq_resolve :premises (@p508 @p507)) % 150.86/151.55 (step @p510 :rule ho_cong :premises (@p448 @p259)) % 150.86/151.55 (step @p511 :rule ho_cong :premises (@p510 @p232)) % 150.86/151.55 (step @p512 :rule cong :premises (@p511 @p261) :args ((= (_ (_ @t344 @t366) @t355) @t367))) % 150.86/151.55 (step @p513 :rule symm :premises (@p512)) % 150.86/151.55 (step @p514 :rule refl :args (@t484)) % 150.86/151.55 (step @p515 :rule eq_resolve :premises (@p514 @p513)) % 150.86/151.55 (step @p516 :rule ho_cong :premises (@p448 @p230)) % 150.86/151.55 (step @p517 :rule ho_cong :premises (@p516 @p213)) % 150.86/151.55 (step @p518 :rule cong :premises (@p517 @p232) :args ((= (_ (_ @t344 @t354) @t324) @t355))) % 150.86/151.55 (step @p519 :rule symm :premises (@p518)) % 150.86/151.55 (step @p520 :rule refl :args (@t471)) % 150.86/151.55 (step @p521 :rule eq_resolve :premises (@p520 @p519)) % 150.86/151.55 (step @p522 :rule ho_cong :premises (@p448 @p228)) % 150.86/151.55 (step @p523 :rule ho_cong :premises (@p522 @p197)) % 150.86/151.55 (step @p524 :rule cong :premises (@p523 @p230) :args ((= (_ (_ @t344 @t353) @t320) @t354))) % 150.86/151.55 (step @p525 :rule symm :premises (@p524)) % 150.86/151.55 (step @p526 :rule refl :args (@t470)) % 150.86/151.55 (step @p527 :rule eq_resolve :premises (@p526 @p525)) % 150.86/151.55 (step @p528 :rule ho_cong :premises (@p448 @p226)) % 150.86/151.55 (step @p529 :rule ho_cong :premises (@p528 @p199)) % 150.86/151.55 (step @p530 :rule cong :premises (@p529 @p228) :args ((= (_ (_ @t344 @t352) @t321) @t353))) % 150.86/151.55 (step @p531 :rule symm :premises (@p530)) % 150.86/151.55 (step @p532 :rule refl :args (@t469)) % 150.86/151.55 (step @p533 :rule eq_resolve :premises (@p532 @p531)) % 150.86/151.55 (step @p534 :rule ho_cong :premises (@p448 @p224)) % 150.86/151.55 (step @p535 :rule ho_cong :premises (@p534 @p223)) % 150.86/151.55 (step @p536 :rule cong :premises (@p535 @p226) :args ((= (_ (_ @t344 @t351) @t350) @t352))) % 150.86/151.55 (step @p537 :rule symm :premises (@p536)) % 150.86/151.55 (step @p538 :rule refl :args (@t468)) % 150.86/151.55 (step @p539 :rule eq_resolve :premises (@p538 @p537)) % 150.86/151.55 (step @p540 :rule ho_cong :premises (@p467 @p221)) % 150.86/151.55 (step @p541 :rule cong :premises (@p540 @p223) :args ((= (_ @t342 @t349) @t350))) % 150.86/151.55 (step @p542 :rule symm :premises (@p541)) % 150.86/151.55 (step @p543 :rule refl :args (@t465)) % 150.86/151.55 (step @p544 :rule eq_resolve :premises (@p543 @p542)) % 150.86/151.55 (step @p545 :rule ho_cong :premises (@p467 @p219)) % 150.86/151.55 (step @p546 :rule cong :premises (@p545 @p221) :args ((= (_ @t342 @t348) @t349))) % 150.86/151.55 (step @p547 :rule symm :premises (@p546)) % 150.86/151.55 (step @p548 :rule refl :args (@t464)) % 150.86/151.55 (step @p549 :rule eq_resolve :premises (@p548 @p547)) % 150.86/151.55 (step @p550 :rule refl :args (@t463)) % 150.86/151.55 (step @p551 :rule cong :premises (@p550 @p219) :args ((= @t463 @t348))) % 150.86/151.55 (step @p552 :rule symm :premises (@p551)) % 150.86/151.55 (step @p553 :rule eq_resolve :premises (@p550 @p552)) % 150.86/151.55 (step @p554 :rule ho_cong :premises (@p467 @p553)) % 150.86/151.55 (step @p555 :rule trans :premises (@p554 @p549)) % 150.86/151.55 (step @p556 :rule ho_cong :premises (@p467 @p555)) % 150.86/151.55 (step @p557 :rule trans :premises (@p556 @p544)) % 150.86/151.55 (step @p558 :rule refl :args (@t467)) % 150.86/151.55 (step @p559 :rule cong :premises (@p558 @p224) :args ((= @t467 @t351))) % 150.86/151.55 (step @p560 :rule symm :premises (@p559)) % 150.86/151.55 (step @p561 :rule eq_resolve :premises (@p558 @p560)) % 150.86/151.55 (step @p562 :rule ho_cong :premises (@p448 @p561)) % 150.86/151.55 (step @p563 :rule ho_cong :premises (@p562 @p557)) % 150.86/151.55 (step @p564 :rule trans :premises (@p563 @p539)) % 150.86/151.55 (step @p565 :rule ho_cong :premises (@p448 @p564)) % 150.86/151.55 (step @p566 :rule ho_cong :premises (@p565 @p199)) % 150.86/151.55 (step @p567 :rule trans :premises (@p566 @p533)) % 150.86/151.55 (step @p568 :rule ho_cong :premises (@p448 @p567)) % 150.86/151.55 (step @p569 :rule ho_cong :premises (@p568 @p197)) % 150.86/151.55 (step @p570 :rule trans :premises (@p569 @p527)) % 150.86/151.55 (step @p571 :rule ho_cong :premises (@p448 @p570)) % 150.86/151.55 (step @p572 :rule ho_cong :premises (@p571 @p213)) % 150.86/151.55 (step @p573 :rule trans :premises (@p572 @p521)) % 150.86/151.55 (step @p574 :rule ho_cong :premises (@p448 @p257)) % 150.86/151.55 (step @p575 :rule ho_cong :premises (@p574 @p234)) % 150.86/151.55 (step @p576 :rule cong :premises (@p575 @p259) :args ((= (_ (_ @t344 @t365) @t356) @t366))) % 150.86/151.55 (step @p577 :rule symm :premises (@p576)) % 150.86/151.55 (step @p578 :rule refl :args (@t483)) % 150.86/151.55 (step @p579 :rule eq_resolve :premises (@p578 @p577)) % 150.86/151.55 (step @p580 :rule refl :args (@t472)) % 150.86/151.55 (step @p581 :rule cong :premises (@p580 @p234) :args ((= @t472 @t356))) % 150.86/151.55 (step @p582 :rule symm :premises (@p581)) % 150.86/151.55 (step @p583 :rule eq_resolve :premises (@p580 @p582)) % 150.86/151.55 (step @p584 :rule ho_cong :premises (@p448 @p255)) % 150.86/151.55 (step @p585 :rule ho_cong :premises (@p584 @p213)) % 150.86/151.55 (step @p586 :rule cong :premises (@p585 @p257) :args ((= (_ (_ @t344 @t364) @t324) @t365))) % 150.86/151.55 (step @p587 :rule symm :premises (@p586)) % 150.86/151.55 (step @p588 :rule refl :args (@t482)) % 150.86/151.55 (step @p589 :rule eq_resolve :premises (@p588 @p587)) % 150.86/151.55 (step @p590 :rule refl :args (@t480)) % 150.86/151.55 (step @p591 :rule ho_cong :premises (@p590 @p253)) % 150.86/151.55 (step @p592 :rule cong :premises (@p591 @p255) :args ((= (_ @t480 @t363) @t364))) % 150.86/151.55 (step @p593 :rule symm :premises (@p592)) % 150.86/151.55 (step @p594 :rule refl :args (@t481)) % 150.86/151.55 (step @p595 :rule eq_resolve :premises (@p594 @p593)) % 150.86/151.55 (step @p596 :rule ho_cong :premises (@p448 @p251)) % 150.86/151.55 (step @p597 :rule ho_cong :premises (@p596 @p241)) % 150.86/151.55 (step @p598 :rule cong :premises (@p597 @p253) :args ((= (_ (_ @t344 @t362) @t358) @t363))) % 150.86/151.55 (step @p599 :rule symm :premises (@p598)) % 150.86/151.55 (step @p600 :rule refl :args (@t479)) % 150.86/151.55 (step @p601 :rule eq_resolve :premises (@p600 @p599)) % 150.86/151.55 (step @p602 :rule ho_cong :premises (@p467 @p239)) % 150.86/151.55 (step @p603 :rule cong :premises (@p602 @p241) :args ((= (_ @t342 @t357) @t358))) % 150.86/151.55 (step @p604 :rule symm :premises (@p603)) % 150.86/151.55 (step @p605 :rule refl :args (@t474)) % 150.86/151.55 (step @p606 :rule eq_resolve :premises (@p605 @p604)) % 150.86/151.55 (step @p607 :rule refl :args (@t473)) % 150.86/151.55 (step @p608 :rule cong :premises (@p607 @p239) :args ((= @t473 @t357))) % 150.86/151.55 (step @p609 :rule symm :premises (@p608)) % 150.86/151.55 (step @p610 :rule eq_resolve :premises (@p607 @p609)) % 150.86/151.55 (step @p611 :rule ho_cong :premises (@p467 @p610)) % 150.86/151.55 (step @p612 :rule trans :premises (@p611 @p606)) % 150.86/151.55 (step @p613 :rule ho_cong :premises (@p467 @p249)) % 150.86/151.55 (step @p614 :rule cong :premises (@p613 @p251) :args ((= (_ @t342 @t361) @t362))) % 150.86/151.55 (step @p615 :rule symm :premises (@p614)) % 150.86/151.55 (step @p616 :rule refl :args (@t478)) % 150.86/151.55 (step @p617 :rule eq_resolve :premises (@p616 @p615)) % 150.86/151.55 (step @p618 :rule ho_cong :premises (@p467 @p247)) % 150.86/151.55 (step @p619 :rule cong :premises (@p618 @p249) :args ((= (_ @t342 @t360) @t361))) % 150.86/151.55 (step @p620 :rule symm :premises (@p619)) % 150.86/151.55 (step @p621 :rule refl :args (@t477)) % 150.86/151.55 (step @p622 :rule eq_resolve :premises (@p621 @p620)) % 150.86/151.55 (step @p623 :rule ho_cong :premises (@p448 @p245)) % 150.86/151.55 (step @p624 :rule ho_cong :premises (@p623 @p199)) % 150.86/151.55 (step @p625 :rule cong :premises (@p624 @p247) :args ((= (_ (_ @t344 @t359) @t321) @t360))) % 150.86/151.55 (step @p626 :rule symm :premises (@p625)) % 150.86/151.55 (step @p627 :rule refl :args (@t476)) % 150.86/151.55 (step @p628 :rule eq_resolve :premises (@p627 @p626)) % 150.86/151.55 (step @p629 :rule refl :args (@t475)) % 150.86/151.55 (step @p630 :rule cong :premises (@p629 @p245) :args ((= @t475 @t359))) % 150.86/151.55 (step @p631 :rule symm :premises (@p630)) % 150.86/151.55 (step @p632 :rule eq_resolve :premises (@p629 @p631)) % 150.86/151.55 (step @p633 :rule ho_cong :premises (@p448 @p632)) % 150.86/151.55 (step @p634 :rule ho_cong :premises (@p633 @p199)) % 150.86/151.55 (step @p635 :rule trans :premises (@p634 @p628)) % 150.86/151.55 (step @p636 :rule ho_cong :premises (@p467 @p635)) % 150.86/151.55 (step @p637 :rule trans :premises (@p636 @p622)) % 150.86/151.55 (step @p638 :rule ho_cong :premises (@p467 @p637)) % 150.86/151.55 (step @p639 :rule trans :premises (@p638 @p617)) % 150.86/151.55 (step @p640 :rule ho_cong :premises (@p448 @p639)) % 150.86/151.55 (step @p641 :rule ho_cong :premises (@p640 @p612)) % 150.86/151.55 (step @p642 :rule trans :premises (@p641 @p601)) % 150.86/151.55 (step @p643 :rule ho_cong :premises (@p590 @p642)) % 150.86/151.55 (step @p644 :rule trans :premises (@p643 @p595)) % 150.86/151.55 (step @p645 :rule ho_cong :premises (@p448 @p644)) % 150.86/151.55 (step @p646 :rule ho_cong :premises (@p645 @p213)) % 150.86/151.55 (step @p647 :rule trans :premises (@p646 @p589)) % 150.86/151.55 (step @p648 :rule ho_cong :premises (@p448 @p647)) % 150.86/151.55 (step @p649 :rule ho_cong :premises (@p648 @p583)) % 150.86/151.55 (step @p650 :rule trans :premises (@p649 @p579)) % 150.86/151.55 (step @p651 :rule ho_cong :premises (@p448 @p650)) % 150.86/151.55 (step @p652 :rule ho_cong :premises (@p651 @p573)) % 150.86/151.55 (step @p653 :rule trans :premises (@p652 @p515)) % 150.86/151.55 (step @p654 :rule ho_cong :premises (@p467 @p653)) % 150.86/151.55 (step @p655 :rule trans :premises (@p654 @p509)) % 150.86/151.55 (step @p656 :rule ho_cong :premises (@p448 @p655)) % 150.86/151.55 (step @p657 :rule ho_cong :premises (@p656 @p504)) % 150.86/151.55 (step @p658 :rule trans :premises (@p657 @p478)) % 150.86/151.55 (step @p659 :rule ho_cong :premises (@p467 @p658)) % 150.86/151.55 (step @p660 :rule trans :premises (@p659 @p472)) % 150.86/151.55 (step @p661 :rule ho_cong :premises (@p448 @p660)) % 150.86/151.55 (step @p662 :rule ho_cong :premises (@p661 @p199)) % 150.86/151.55 (step @p663 :rule trans :premises (@p662 @p466)) % 150.86/151.55 (step @p664 :rule ho_cong :premises (@p448 @p663)) % 150.86/151.55 (step @p665 :rule ho_cong :premises (@p664 @p197)) % 150.86/151.55 (step @p666 :rule trans :premises (@p665 @p460)) % 150.86/151.55 (step @p667 :rule refl :args (@t466)) % 150.86/151.55 (step @p668 :rule ho_cong :premises (@p667 @p443)) % 150.86/151.55 (step @p669 :rule cong :premises (@p668 @p445) :args ((= (_ @t466 @t431) @t432))) % 150.86/151.55 (step @p670 :rule symm :premises (@p669)) % 150.86/151.55 (step @p671 :rule refl :args (@t550)) % 150.86/151.55 (step @p672 :rule eq_resolve :premises (@p671 @p670)) % 150.86/151.55 (step @p673 :rule ho_cong :premises (@p590 @p441)) % 150.86/151.55 (step @p674 :rule cong :premises (@p673 @p443) :args ((= (_ @t480 @t430) @t431))) % 150.86/151.55 (step @p675 :rule symm :premises (@p674)) % 150.86/151.55 (step @p676 :rule refl :args (@t549)) % 150.86/151.55 (step @p677 :rule eq_resolve :premises (@p676 @p675)) % 150.86/151.55 (step @p678 :rule ho_cong :premises (@p448 @p439)) % 150.86/151.55 (step @p679 :rule ho_cong :premises (@p678 @p204)) % 150.86/151.55 (step @p680 :rule cong :premises (@p679 @p441) :args ((= (_ (_ @t344 @t429) @t343) @t430))) % 150.86/151.55 (step @p681 :rule symm :premises (@p680)) % 150.86/151.55 (step @p682 :rule refl :args (@t548)) % 150.86/151.55 (step @p683 :rule eq_resolve :premises (@p682 @p681)) % 150.86/151.55 (step @p684 :rule ho_cong :premises (@p448 @p437)) % 150.86/151.55 (step @p685 :rule ho_cong :premises (@p684 @p213)) % 150.86/151.55 (step @p686 :rule cong :premises (@p685 @p439) :args ((= (_ (_ @t344 @t428) @t324) @t429))) % 150.86/151.55 (step @p687 :rule symm :premises (@p686)) % 150.86/151.55 (step @p688 :rule refl :args (@t547)) % 150.86/151.55 (step @p689 :rule eq_resolve :premises (@p688 @p687)) % 150.86/151.55 (step @p690 :rule ho_cong :premises (@p448 @p435)) % 150.86/151.55 (step @p691 :rule ho_cong :premises (@p690 @p213)) % 150.86/151.55 (step @p692 :rule cong :premises (@p691 @p437) :args ((= (_ (_ @t344 @t427) @t324) @t428))) % 150.86/151.55 (step @p693 :rule symm :premises (@p692)) % 150.86/151.55 (step @p694 :rule refl :args (@t546)) % 150.86/151.55 (step @p695 :rule eq_resolve :premises (@p694 @p693)) % 150.86/151.55 (step @p696 :rule refl :args (@t459)) % 150.86/151.55 (step @p697 :rule ho_cong :premises (@p696 @p433)) % 150.86/151.55 (step @p698 :rule cong :premises (@p697 @p435) :args ((= (_ @t459 @t426) @t427))) % 150.86/151.55 (step @p699 :rule symm :premises (@p698)) % 150.86/151.55 (step @p700 :rule refl :args (@t545)) % 150.86/151.55 (step @p701 :rule eq_resolve :premises (@p700 @p699)) % 150.86/151.55 (step @p702 :rule ho_cong :premises (@p448 @p431)) % 150.86/151.55 (step @p703 :rule ho_cong :premises (@p702 @p310)) % 150.86/151.55 (step @p704 :rule cong :premises (@p703 @p433) :args ((= (_ (_ @t344 @t425) @t384) @t426))) % 150.86/151.55 (step @p705 :rule symm :premises (@p704)) % 150.86/151.55 (step @p706 :rule refl :args (@t544)) % 150.86/151.55 (step @p707 :rule eq_resolve :premises (@p706 @p705)) % 150.86/151.55 (step @p708 :rule ho_cong :premises (@p448 @p308)) % 150.86/151.55 (step @p709 :rule ho_cong :premises (@p708 @p280)) % 150.86/151.55 (step @p710 :rule cong :premises (@p709 @p310) :args ((= (_ (_ @t344 @t383) @t373) @t384))) % 150.86/151.55 (step @p711 :rule symm :premises (@p710)) % 150.86/151.55 (step @p712 :rule refl :args (@t501)) % 150.86/151.55 (step @p713 :rule eq_resolve :premises (@p712 @p711)) % 150.86/151.55 (step @p714 :rule refl :args (@t490)) % 150.86/151.55 (step @p715 :rule cong :premises (@p714 @p280) :args ((= @t490 @t373))) % 150.86/151.55 (step @p716 :rule symm :premises (@p715)) % 150.86/151.55 (step @p717 :rule eq_resolve :premises (@p714 @p716)) % 150.86/151.55 (step @p718 :rule ho_cong :premises (@p448 @p306)) % 150.86/151.55 (step @p719 :rule ho_cong :premises (@p718 @p197)) % 150.86/151.55 (step @p720 :rule cong :premises (@p719 @p308) :args ((= (_ (_ @t344 @t382) @t320) @t383))) % 150.86/151.55 (step @p721 :rule symm :premises (@p720)) % 150.86/151.55 (step @p722 :rule refl :args (@t500)) % 150.86/151.55 (step @p723 :rule eq_resolve :premises (@p722 @p721)) % 150.86/151.55 (step @p724 :rule ho_cong :premises (@p448 @p304)) % 150.86/151.55 (step @p725 :rule ho_cong :premises (@p724 @p213)) % 150.86/151.55 (step @p726 :rule cong :premises (@p725 @p306) :args ((= (_ (_ @t344 @t381) @t324) @t382))) % 150.86/151.55 (step @p727 :rule symm :premises (@p726)) % 150.86/151.55 (step @p728 :rule refl :args (@t499)) % 150.86/151.55 (step @p729 :rule eq_resolve :premises (@p728 @p727)) % 150.86/151.55 (step @p730 :rule ho_cong :premises (@p448 @p302)) % 150.86/151.55 (step @p731 :rule ho_cong :premises (@p730 @p299)) % 150.86/151.55 (step @p732 :rule cong :premises (@p731 @p304) :args ((= (_ (_ @t344 @t380) @t379) @t381))) % 150.86/151.55 (step @p733 :rule symm :premises (@p732)) % 150.86/151.55 (step @p734 :rule refl :args (@t498)) % 150.86/151.55 (step @p735 :rule eq_resolve :premises (@p734 @p733)) % 150.86/151.55 (step @p736 :rule ho_cong :premises (@p467 @p297)) % 150.86/151.55 (step @p737 :rule cong :premises (@p736 @p299) :args ((= (_ @t342 @t378) @t379))) % 150.86/151.55 (step @p738 :rule symm :premises (@p737)) % 150.86/151.55 (step @p739 :rule refl :args (@t496)) % 150.86/151.55 (step @p740 :rule eq_resolve :premises (@p739 @p738)) % 150.86/151.55 (step @p741 :rule ho_cong :premises (@p467 @p295)) % 150.86/151.55 (step @p742 :rule cong :premises (@p741 @p297) :args ((= (_ @t342 @t377) @t378))) % 150.86/151.55 (step @p743 :rule symm :premises (@p742)) % 150.86/151.55 (step @p744 :rule refl :args (@t495)) % 150.86/151.55 (step @p745 :rule eq_resolve :premises (@p744 @p743)) % 150.86/151.55 (step @p746 :rule ho_cong :premises (@p590 @p293)) % 150.86/151.55 (step @p747 :rule cong :premises (@p746 @p295) :args ((= (_ @t480 @t376) @t377))) % 150.86/151.55 (step @p748 :rule symm :premises (@p747)) % 150.86/151.55 (step @p749 :rule refl :args (@t494)) % 150.86/151.55 (step @p750 :rule eq_resolve :premises (@p749 @p748)) % 150.86/151.55 (step @p751 :rule ho_cong :premises (@p467 @p291)) % 150.86/151.55 (step @p752 :rule cong :premises (@p751 @p293) :args ((= (_ @t342 @t375) @t376))) % 150.86/151.55 (step @p753 :rule symm :premises (@p752)) % 150.86/151.55 (step @p754 :rule refl :args (@t493)) % 150.86/151.55 (step @p755 :rule eq_resolve :premises (@p754 @p753)) % 150.86/151.55 (step @p756 :rule ho_cong :premises (@p467 @p289)) % 150.86/151.55 (step @p757 :rule cong :premises (@p756 @p291) :args ((= (_ @t342 @t374) @t375))) % 150.86/151.55 (step @p758 :rule symm :premises (@p757)) % 150.86/151.55 (step @p759 :rule refl :args (@t492)) % 150.86/151.55 (step @p760 :rule eq_resolve :premises (@p759 @p758)) % 150.86/151.55 (step @p761 :rule refl :args (@t491)) % 150.86/151.55 (step @p762 :rule cong :premises (@p761 @p289) :args ((= @t491 @t374))) % 150.86/151.55 (step @p763 :rule symm :premises (@p762)) % 150.86/151.55 (step @p764 :rule eq_resolve :premises (@p761 @p763)) % 150.86/151.55 (step @p765 :rule ho_cong :premises (@p467 @p764)) % 150.86/151.55 (step @p766 :rule trans :premises (@p765 @p760)) % 150.86/151.55 (step @p767 :rule ho_cong :premises (@p467 @p766)) % 150.86/151.55 (step @p768 :rule trans :premises (@p767 @p755)) % 150.86/151.55 (step @p769 :rule ho_cong :premises (@p590 @p768)) % 150.86/151.55 (step @p770 :rule trans :premises (@p769 @p750)) % 150.86/151.55 (step @p771 :rule ho_cong :premises (@p467 @p770)) % 150.86/151.55 (step @p772 :rule trans :premises (@p771 @p745)) % 150.86/151.55 (step @p773 :rule ho_cong :premises (@p467 @p772)) % 150.86/151.55 (step @p774 :rule trans :premises (@p773 @p740)) % 150.86/151.55 (step @p775 :rule ho_cong :premises (@p696 @p239)) % 150.86/151.55 (step @p776 :rule cong :premises (@p775 @p302) :args ((= (_ @t459 @t357) @t380))) % 150.86/151.55 (step @p777 :rule symm :premises (@p776)) % 150.86/151.55 (step @p778 :rule refl :args (@t497)) % 150.86/151.55 (step @p779 :rule eq_resolve :premises (@p778 @p777)) % 150.86/151.55 (step @p780 :rule ho_cong :premises (@p696 @p610)) % 150.86/151.55 (step @p781 :rule trans :premises (@p780 @p779)) % 150.86/151.55 (step @p782 :rule ho_cong :premises (@p448 @p781)) % 150.86/151.55 (step @p783 :rule ho_cong :premises (@p782 @p774)) % 150.86/151.55 (step @p784 :rule trans :premises (@p783 @p735)) % 150.86/151.55 (step @p785 :rule ho_cong :premises (@p448 @p784)) % 150.86/151.55 (step @p786 :rule ho_cong :premises (@p785 @p213)) % 150.86/151.55 (step @p787 :rule trans :premises (@p786 @p729)) % 150.86/151.55 (step @p788 :rule ho_cong :premises (@p448 @p787)) % 150.86/151.55 (step @p789 :rule ho_cong :premises (@p788 @p197)) % 150.86/151.55 (step @p790 :rule trans :premises (@p789 @p723)) % 150.86/151.55 (step @p791 :rule ho_cong :premises (@p448 @p790)) % 150.86/151.55 (step @p792 :rule ho_cong :premises (@p791 @p717)) % 150.86/151.55 (step @p793 :rule trans :premises (@p792 @p713)) % 150.86/151.55 (step @p794 :rule ho_cong :premises (@p667 @p429)) % 150.86/151.55 (step @p795 :rule cong :premises (@p794 @p431) :args ((= (_ @t466 @t424) @t425))) % 150.86/151.55 (step @p796 :rule symm :premises (@p795)) % 150.86/151.55 (step @p797 :rule refl :args (@t543)) % 150.86/151.55 (step @p798 :rule eq_resolve :premises (@p797 @p796)) % 150.86/151.55 (step @p799 :rule ho_cong :premises (@p667 @p427)) % 150.86/151.55 (step @p800 :rule cong :premises (@p799 @p429) :args ((= (_ @t466 @t423) @t424))) % 150.86/151.55 (step @p801 :rule symm :premises (@p800)) % 150.86/151.55 (step @p802 :rule refl :args (@t542)) % 150.86/151.55 (step @p803 :rule eq_resolve :premises (@p802 @p801)) % 150.86/151.55 (step @p804 :rule ho_cong :premises (@p448 @p425)) % 150.86/151.55 (step @p805 :rule ho_cong :premises (@p804 @p409)) % 150.86/151.55 (step @p806 :rule cong :premises (@p805 @p427) :args ((= (_ (_ @t344 @t422) @t416) @t423))) % 150.86/151.55 (step @p807 :rule symm :premises (@p806)) % 150.86/151.55 (step @p808 :rule refl :args (@t541)) % 150.86/151.55 (step @p809 :rule eq_resolve :premises (@p808 @p807)) % 150.86/151.55 (step @p810 :rule ho_cong :premises (@p448 @p407)) % 150.86/151.55 (step @p811 :rule ho_cong :premises (@p810 @p398)) % 150.86/151.55 (step @p812 :rule cong :premises (@p811 @p409) :args ((= (_ (_ @t344 @t415) @t412) @t416))) % 150.86/151.55 (step @p813 :rule symm :premises (@p812)) % 150.86/151.55 (step @p814 :rule refl :args (@t534)) % 150.86/151.55 (step @p815 :rule eq_resolve :premises (@p814 @p813)) % 150.86/151.55 (step @p816 :rule ho_cong :premises (@p696 @p396)) % 150.86/151.55 (step @p817 :rule cong :premises (@p816 @p398) :args ((= (_ @t459 @t411) @t412))) % 150.86/151.55 (step @p818 :rule symm :premises (@p817)) % 150.86/151.55 (step @p819 :rule refl :args (@t530)) % 150.86/151.55 (step @p820 :rule eq_resolve :premises (@p819 @p818)) % 150.86/151.55 (step @p821 :rule ho_cong :premises (@p696 @p394)) % 150.86/151.55 (step @p822 :rule cong :premises (@p821 @p396) :args ((= (_ @t459 @t410) @t411))) % 150.86/151.55 (step @p823 :rule symm :premises (@p822)) % 150.86/151.55 (step @p824 :rule refl :args (@t529)) % 150.86/151.55 (step @p825 :rule eq_resolve :premises (@p824 @p823)) % 150.86/151.55 (step @p826 :rule ho_cong :premises (@p448 @p392)) % 150.86/151.55 (step @p827 :rule ho_cong :premises (@p826 @p377)) % 150.86/151.55 (step @p828 :rule cong :premises (@p827 @p394) :args ((= (_ (_ @t344 @t409) @t404) @t410))) % 150.86/151.55 (step @p829 :rule symm :premises (@p828)) % 150.86/151.55 (step @p830 :rule refl :args (@t528)) % 150.86/151.55 (step @p831 :rule eq_resolve :premises (@p830 @p829)) % 150.86/151.55 (step @p832 :rule ho_cong :premises (@p467 @p375)) % 150.86/151.55 (step @p833 :rule cong :premises (@p832 @p377) :args ((= (_ @t342 @t403) @t404))) % 150.86/151.55 (step @p834 :rule symm :premises (@p833)) % 150.86/151.55 (step @p835 :rule refl :args (@t522)) % 150.86/151.55 (step @p836 :rule eq_resolve :premises (@p835 @p834)) % 150.86/151.55 (step @p837 :rule ho_cong :premises (@p448 @p373)) % 150.86/151.55 (step @p838 :rule ho_cong :premises (@p837 @p361)) % 150.86/151.55 (step @p839 :rule cong :premises (@p838 @p375) :args ((= (_ (_ @t344 @t402) @t398) @t403))) % 150.86/151.55 (step @p840 :rule symm :premises (@p839)) % 150.86/151.55 (step @p841 :rule refl :args (@t521)) % 150.86/151.55 (step @p842 :rule eq_resolve :premises (@p841 @p840)) % 150.86/151.55 (step @p843 :rule ho_cong :premises (@p448 @p359)) % 150.86/151.55 (step @p844 :rule ho_cong :premises (@p843 @p350)) % 150.86/151.55 (step @p845 :rule cong :premises (@p844 @p361) :args ((= (_ (_ @t344 @t397) @t394) @t398))) % 150.86/151.55 (step @p846 :rule symm :premises (@p845)) % 150.86/151.55 (step @p847 :rule refl :args (@t516)) % 150.86/151.55 (step @p848 :rule eq_resolve :premises (@p847 @p846)) % 150.86/151.55 (step @p849 :rule ho_cong :premises (@p467 @p348)) % 150.86/151.55 (step @p850 :rule cong :premises (@p849 @p350) :args ((= (_ @t342 @t393) @t394))) % 150.86/151.55 (step @p851 :rule symm :premises (@p850)) % 150.86/151.55 (step @p852 :rule refl :args (@t511)) % 150.86/151.55 (step @p853 :rule eq_resolve :premises (@p852 @p851)) % 150.86/151.55 (step @p854 :rule ho_cong :premises (@p467 @p346)) % 150.86/151.55 (step @p855 :rule cong :premises (@p854 @p348) :args ((= (_ @t342 @t392) @t393))) % 150.86/151.55 (step @p856 :rule symm :premises (@p855)) % 150.86/151.55 (step @p857 :rule refl :args (@t510)) % 150.86/151.55 (step @p858 :rule eq_resolve :premises (@p857 @p856)) % 150.86/151.55 (step @p859 :rule ho_cong :premises (@p448 @p344)) % 150.86/151.55 (step @p860 :rule ho_cong :premises (@p859 @p197)) % 150.86/151.55 (step @p861 :rule cong :premises (@p860 @p346) :args ((= (_ (_ @t344 @t391) @t320) @t392))) % 150.86/151.55 (step @p862 :rule symm :premises (@p861)) % 150.86/151.55 (step @p863 :rule refl :args (@t509)) % 150.86/151.55 (step @p864 :rule eq_resolve :premises (@p863 @p862)) % 150.86/151.55 (step @p865 :rule ho_cong :premises (@p448 @p342)) % 150.86/151.55 (step @p866 :rule ho_cong :premises (@p865 @p327)) % 150.86/151.55 (step @p867 :rule cong :premises (@p866 @p344) :args ((= (_ (_ @t344 @t390) @t385) @t391))) % 150.86/151.55 (step @p868 :rule symm :premises (@p867)) % 150.86/151.55 (step @p869 :rule refl :args (@t508)) % 150.86/151.55 (step @p870 :rule eq_resolve :premises (@p869 @p868)) % 150.86/151.55 (step @p871 :rule ho_cong :premises (@p590 @p239)) % 150.86/151.55 (step @p872 :rule cong :premises (@p871 @p327) :args ((= (_ @t480 @t357) @t385))) % 150.86/151.55 (step @p873 :rule symm :premises (@p872)) % 150.86/151.55 (step @p874 :rule refl :args (@t502)) % 150.86/151.55 (step @p875 :rule eq_resolve :premises (@p874 @p873)) % 150.86/151.55 (step @p876 :rule ho_cong :premises (@p590 @p610)) % 150.86/151.55 (step @p877 :rule trans :premises (@p876 @p875)) % 150.86/151.55 (step @p878 :rule ho_cong :premises (@p448 @p340)) % 150.86/151.55 (step @p879 :rule ho_cong :premises (@p878 @p199)) % 150.86/151.55 (step @p880 :rule cong :premises (@p879 @p342) :args ((= (_ (_ @t344 @t389) @t321) @t390))) % 150.86/151.55 (step @p881 :rule symm :premises (@p880)) % 150.86/151.55 (step @p882 :rule refl :args (@t507)) % 150.86/151.55 (step @p883 :rule eq_resolve :premises (@p882 @p881)) % 150.86/151.55 (step @p884 :rule ho_cong :premises (@p667 @p338)) % 150.86/151.55 (step @p885 :rule cong :premises (@p884 @p340) :args ((= (_ @t466 @t388) @t389))) % 150.86/151.55 (step @p886 :rule symm :premises (@p885)) % 150.86/151.55 (step @p887 :rule refl :args (@t506)) % 150.86/151.55 (step @p888 :rule eq_resolve :premises (@p887 @p886)) % 150.86/151.55 (step @p889 :rule ho_cong :premises (@p448 @p336)) % 150.86/151.55 (step @p890 :rule ho_cong :premises (@p889 @p197)) % 150.86/151.55 (step @p891 :rule cong :premises (@p890 @p338) :args ((= (_ (_ @t344 @t387) @t320) @t388))) % 150.86/151.55 (step @p892 :rule symm :premises (@p891)) % 150.86/151.55 (step @p893 :rule refl :args (@t505)) % 150.86/151.55 (step @p894 :rule eq_resolve :premises (@p893 @p892)) % 150.86/151.55 (step @p895 :rule ho_cong :premises (@p696 @p334)) % 150.86/151.55 (step @p896 :rule cong :premises (@p895 @p336) :args ((= (_ @t459 @t386) @t387))) % 150.86/151.55 (step @p897 :rule symm :premises (@p896)) % 150.86/151.55 (step @p898 :rule refl :args (@t504)) % 150.86/151.55 (step @p899 :rule eq_resolve :premises (@p898 @p897)) % 150.86/151.55 (step @p900 :rule ho_cong :premises (@p448 @p289)) % 150.86/151.55 (step @p901 :rule ho_cong :premises (@p900 @p199)) % 150.86/151.55 (step @p902 :rule cong :premises (@p901 @p334) :args ((= (_ (_ @t344 @t374) @t321) @t386))) % 150.86/151.55 (step @p903 :rule symm :premises (@p902)) % 150.86/151.55 (step @p904 :rule refl :args (@t503)) % 150.86/151.55 (step @p905 :rule eq_resolve :premises (@p904 @p903)) % 150.86/151.55 (step @p906 :rule ho_cong :premises (@p448 @p764)) % 150.86/151.55 (step @p907 :rule ho_cong :premises (@p906 @p199)) % 150.86/151.55 (step @p908 :rule trans :premises (@p907 @p905)) % 150.86/151.55 (step @p909 :rule ho_cong :premises (@p696 @p908)) % 150.86/151.55 (step @p910 :rule trans :premises (@p909 @p899)) % 150.86/151.55 (step @p911 :rule ho_cong :premises (@p448 @p910)) % 150.86/151.55 (step @p912 :rule ho_cong :premises (@p911 @p197)) % 150.86/151.55 (step @p913 :rule trans :premises (@p912 @p894)) % 150.86/151.55 (step @p914 :rule ho_cong :premises (@p667 @p913)) % 150.86/151.55 (step @p915 :rule trans :premises (@p914 @p888)) % 150.86/151.55 (step @p916 :rule ho_cong :premises (@p448 @p915)) % 150.86/151.55 (step @p917 :rule ho_cong :premises (@p916 @p199)) % 150.86/151.55 (step @p918 :rule trans :premises (@p917 @p883)) % 150.86/151.55 (step @p919 :rule ho_cong :premises (@p448 @p918)) % 150.86/151.55 (step @p920 :rule ho_cong :premises (@p919 @p877)) % 150.86/151.55 (step @p921 :rule trans :premises (@p920 @p870)) % 150.86/151.55 (step @p922 :rule ho_cong :premises (@p448 @p921)) % 150.86/151.55 (step @p923 :rule ho_cong :premises (@p922 @p197)) % 150.86/151.55 (step @p924 :rule trans :premises (@p923 @p864)) % 150.86/151.55 (step @p925 :rule ho_cong :premises (@p467 @p924)) % 150.86/151.55 (step @p926 :rule trans :premises (@p925 @p858)) % 150.86/151.55 (step @p927 :rule ho_cong :premises (@p467 @p926)) % 150.86/151.55 (step @p928 :rule trans :premises (@p927 @p853)) % 150.86/151.55 (step @p929 :rule ho_cong :premises (@p448 @p357)) % 150.86/151.55 (step @p930 :rule ho_cong :premises (@p929 @p197)) % 150.86/151.55 (step @p931 :rule cong :premises (@p930 @p359) :args ((= (_ (_ @t344 @t396) @t320) @t397))) % 150.86/151.55 (step @p932 :rule symm :premises (@p931)) % 150.86/151.55 (step @p933 :rule refl :args (@t515)) % 150.86/151.55 (step @p934 :rule eq_resolve :premises (@p933 @p932)) % 150.86/151.55 (step @p935 :rule ho_cong :premises (@p696 @p355)) % 150.86/151.55 (step @p936 :rule cong :premises (@p935 @p357) :args ((= (_ @t459 @t395) @t396))) % 150.86/151.55 (step @p937 :rule symm :premises (@p936)) % 150.86/151.55 (step @p938 :rule refl :args (@t514)) % 150.86/151.55 (step @p939 :rule eq_resolve :premises (@p938 @p937)) % 150.86/151.55 (step @p940 :rule ho_cong :premises (@p448 @p234)) % 150.86/151.55 (step @p941 :rule ho_cong :premises (@p940 @p197)) % 150.86/151.55 (step @p942 :rule cong :premises (@p941 @p355) :args ((= (_ @t552 @t320) @t395))) % 150.86/151.55 (step @p943 :rule symm :premises (@p942)) % 150.86/151.55 (step @p944 :rule refl :args (@t513)) % 150.86/151.55 (step @p945 :rule eq_resolve :premises (@p944 @p943)) % 150.86/151.55 (step @p946 :rule ho_cong :premises (@p448 @p583)) % 150.86/151.55 (step @p947 :rule ho_cong :premises (@p946 @p197)) % 150.86/151.55 (step @p948 :rule trans :premises (@p947 @p945)) % 150.86/151.55 (step @p949 :rule ho_cong :premises (@p696 @p948)) % 150.86/151.55 (step @p950 :rule trans :premises (@p949 @p939)) % 150.86/151.55 (step @p951 :rule ho_cong :premises (@p448 @p950)) % 150.86/151.55 (step @p952 :rule ho_cong :premises (@p951 @p197)) % 150.86/151.55 (step @p953 :rule trans :premises (@p952 @p934)) % 150.86/151.55 (step @p954 :rule ho_cong :premises (@p448 @p953)) % 150.86/151.55 (step @p955 :rule ho_cong :premises (@p954 @p928)) % 150.86/151.55 (step @p956 :rule trans :premises (@p955 @p848)) % 150.86/151.55 (step @p957 :rule ho_cong :premises (@p590 @p371)) % 150.86/151.55 (step @p958 :rule cong :premises (@p957 @p373) :args ((= (_ @t480 @t401) @t402))) % 150.86/151.55 (step @p959 :rule symm :premises (@p958)) % 150.86/151.55 (step @p960 :rule refl :args (@t520)) % 150.86/151.55 (step @p961 :rule eq_resolve :premises (@p960 @p959)) % 150.86/151.55 (step @p962 :rule ho_cong :premises (@p667 @p369)) % 150.86/151.55 (step @p963 :rule cong :premises (@p962 @p371) :args ((= (_ @t466 @t400) @t401))) % 150.86/151.55 (step @p964 :rule symm :premises (@p963)) % 150.86/151.55 (step @p965 :rule refl :args (@t519)) % 150.86/151.55 (step @p966 :rule eq_resolve :premises (@p965 @p964)) % 150.86/151.55 (step @p967 :rule ho_cong :premises (@p448 @p367)) % 150.86/151.55 (step @p968 :rule ho_cong :premises (@p967 @p213)) % 150.86/151.55 (step @p969 :rule cong :premises (@p968 @p369) :args ((= (_ (_ @t344 @t399) @t324) @t400))) % 150.86/151.55 (step @p970 :rule symm :premises (@p969)) % 150.86/151.55 (step @p971 :rule refl :args (@t518)) % 150.86/151.55 (step @p972 :rule eq_resolve :premises (@p971 @p970)) % 150.86/151.55 (step @p973 :rule ho_cong :premises (@p467 @p224)) % 150.86/151.55 (step @p974 :rule cong :premises (@p973 @p367) :args ((= (_ @t342 @t351) @t399))) % 150.86/151.55 (step @p975 :rule symm :premises (@p974)) % 150.86/151.55 (step @p976 :rule refl :args (@t517)) % 150.86/151.55 (step @p977 :rule eq_resolve :premises (@p976 @p975)) % 150.86/151.55 (step @p978 :rule ho_cong :premises (@p467 @p561)) % 150.86/151.55 (step @p979 :rule trans :premises (@p978 @p977)) % 150.86/151.55 (step @p980 :rule ho_cong :premises (@p448 @p979)) % 150.86/151.55 (step @p981 :rule ho_cong :premises (@p980 @p213)) % 150.86/151.55 (step @p982 :rule trans :premises (@p981 @p972)) % 150.86/151.55 (step @p983 :rule ho_cong :premises (@p667 @p982)) % 150.86/151.55 (step @p984 :rule trans :premises (@p983 @p966)) % 150.86/151.55 (step @p985 :rule ho_cong :premises (@p590 @p984)) % 150.86/151.55 (step @p986 :rule trans :premises (@p985 @p961)) % 150.86/151.55 (step @p987 :rule ho_cong :premises (@p448 @p986)) % 150.86/151.55 (step @p988 :rule ho_cong :premises (@p987 @p956)) % 150.86/151.55 (step @p989 :rule trans :premises (@p988 @p842)) % 150.86/151.55 (step @p990 :rule ho_cong :premises (@p467 @p989)) % 150.86/151.55 (step @p991 :rule trans :premises (@p990 @p836)) % 150.86/151.55 (step @p992 :rule ho_cong :premises (@p448 @p390)) % 150.86/151.55 (step @p993 :rule ho_cong :premises (@p992 @p197)) % 150.86/151.56 (step @p994 :rule cong :premises (@p993 @p392) :args ((= (_ (_ @t344 @t408) @t320) @t409))) % 150.86/151.56 (step @p995 :rule symm :premises (@p994)) % 150.86/151.56 (step @p996 :rule refl :args (@t527)) % 150.86/151.56 (step @p997 :rule eq_resolve :premises (@p996 @p995)) % 150.86/151.56 (step @p998 :rule ho_cong :premises (@p667 @p388)) % 150.86/151.56 (step @p999 :rule cong :premises (@p998 @p390) :args ((= (_ @t466 @t407) @t408))) % 150.86/151.56 (step @p1000 :rule symm :premises (@p999)) % 150.86/151.56 (step @p1001 :rule refl :args (@t526)) % 150.86/151.56 (step @p1002 :rule eq_resolve :premises (@p1001 @p1000)) % 150.86/151.56 (step @p1003 :rule ho_cong :premises (@p448 @p386)) % 150.86/151.56 (step @p1004 :rule ho_cong :premises (@p1003 @p291)) % 150.86/151.56 (step @p1005 :rule cong :premises (@p1004 @p388) :args ((= (_ (_ @t344 @t406) @t375) @t407))) % 150.86/151.56 (step @p1006 :rule symm :premises (@p1005)) % 150.86/151.56 (step @p1007 :rule refl :args (@t525)) % 150.86/151.56 (step @p1008 :rule eq_resolve :premises (@p1007 @p1006)) % 150.86/151.56 (step @p1009 :rule ho_cong :premises (@p667 @p384)) % 150.86/151.56 (step @p1010 :rule cong :premises (@p1009 @p386) :args ((= (_ @t466 @t405) @t406))) % 150.86/151.56 (step @p1011 :rule symm :premises (@p1010)) % 150.86/151.56 (step @p1012 :rule refl :args (@t524)) % 150.86/151.56 (step @p1013 :rule eq_resolve :premises (@p1012 @p1011)) % 150.86/151.56 (step @p1014 :rule ho_cong :premises (@p448 @p204)) % 150.86/151.56 (step @p1015 :rule ho_cong :premises (@p1014 @p199)) % 150.86/151.56 (step @p1016 :rule cong :premises (@p1015 @p384) :args ((= (_ (_ @t344 @t343) @t321) @t405))) % 150.86/151.56 (step @p1017 :rule symm :premises (@p1016)) % 150.86/151.56 (step @p1018 :rule refl :args (@t523)) % 150.86/151.56 (step @p1019 :rule eq_resolve :premises (@p1018 @p1017)) % 150.86/151.56 (step @p1020 :rule ho_cong :premises (@p448 @p494)) % 150.86/151.56 (step @p1021 :rule ho_cong :premises (@p1020 @p199)) % 150.86/151.56 (step @p1022 :rule trans :premises (@p1021 @p1019)) % 150.86/151.56 (step @p1023 :rule ho_cong :premises (@p667 @p1022)) % 150.86/151.56 (step @p1024 :rule trans :premises (@p1023 @p1013)) % 150.86/151.56 (step @p1025 :rule ho_cong :premises (@p448 @p1024)) % 150.86/151.56 (step @p1026 :rule ho_cong :premises (@p1025 @p766)) % 150.86/151.56 (step @p1027 :rule trans :premises (@p1026 @p1008)) % 150.86/151.56 (step @p1028 :rule ho_cong :premises (@p667 @p1027)) % 150.86/151.56 (step @p1029 :rule trans :premises (@p1028 @p1002)) % 150.86/151.56 (step @p1030 :rule ho_cong :premises (@p448 @p1029)) % 150.86/151.56 (step @p1031 :rule ho_cong :premises (@p1030 @p197)) % 150.86/151.56 (step @p1032 :rule trans :premises (@p1031 @p997)) % 150.86/151.56 (step @p1033 :rule ho_cong :premises (@p448 @p1032)) % 150.86/151.56 (step @p1034 :rule ho_cong :premises (@p1033 @p991)) % 150.86/151.56 (step @p1035 :rule trans :premises (@p1034 @p831)) % 150.86/151.56 (step @p1036 :rule ho_cong :premises (@p696 @p1035)) % 150.86/151.56 (step @p1037 :rule trans :premises (@p1036 @p825)) % 150.86/151.56 (step @p1038 :rule ho_cong :premises (@p696 @p1037)) % 150.86/151.56 (step @p1039 :rule trans :premises (@p1038 @p820)) % 150.86/151.56 (step @p1040 :rule ho_cong :premises (@p467 @p405)) % 150.86/151.56 (step @p1041 :rule cong :premises (@p1040 @p407) :args ((= (_ @t342 @t414) @t415))) % 150.86/151.56 (step @p1042 :rule symm :premises (@p1041)) % 150.86/151.56 (step @p1043 :rule refl :args (@t533)) % 150.86/151.56 (step @p1044 :rule eq_resolve :premises (@p1043 @p1042)) % 150.86/151.56 (step @p1045 :rule ho_cong :premises (@p448 @p403)) % 150.86/151.56 (step @p1046 :rule ho_cong :premises (@p1045 @p239)) % 150.86/151.56 (step @p1047 :rule cong :premises (@p1046 @p405) :args ((= (_ (_ @t344 @t413) @t357) @t414))) % 150.86/151.56 (step @p1048 :rule symm :premises (@p1047)) % 150.86/151.56 (step @p1049 :rule refl :args (@t532)) % 150.86/151.56 (step @p1050 :rule eq_resolve :premises (@p1049 @p1048)) % 150.86/151.56 (step @p1051 :rule ho_cong :premises (@p448 @p219)) % 150.86/151.56 (step @p1052 :rule ho_cong :premises (@p1051 @p213)) % 150.86/151.56 (step @p1053 :rule cong :premises (@p1052 @p403) :args ((= (_ (_ @t344 @t348) @t324) @t413))) % 150.86/151.56 (step @p1054 :rule symm :premises (@p1053)) % 150.86/151.56 (step @p1055 :rule refl :args (@t531)) % 150.86/151.56 (step @p1056 :rule eq_resolve :premises (@p1055 @p1054)) % 150.86/151.56 (step @p1057 :rule ho_cong :premises (@p448 @p553)) % 150.86/151.56 (step @p1058 :rule ho_cong :premises (@p1057 @p213)) % 150.86/151.56 (step @p1059 :rule trans :premises (@p1058 @p1056)) % 150.86/151.56 (step @p1060 :rule ho_cong :premises (@p448 @p1059)) % 150.86/151.56 (step @p1061 :rule ho_cong :premises (@p1060 @p610)) % 150.86/151.56 (step @p1062 :rule trans :premises (@p1061 @p1050)) % 150.86/151.56 (step @p1063 :rule ho_cong :premises (@p467 @p1062)) % 150.86/151.56 (step @p1064 :rule trans :premises (@p1063 @p1044)) % 150.86/151.56 (step @p1065 :rule ho_cong :premises (@p448 @p1064)) % 150.86/151.56 (step @p1066 :rule ho_cong :premises (@p1065 @p1039)) % 150.86/151.56 (step @p1067 :rule trans :premises (@p1066 @p815)) % 150.86/151.56 (step @p1068 :rule ho_cong :premises (@p667 @p423)) % 150.86/151.56 (step @p1069 :rule cong :premises (@p1068 @p425) :args ((= (_ @t466 @t421) @t422))) % 150.86/151.56 (step @p1070 :rule symm :premises (@p1069)) % 150.86/151.56 (step @p1071 :rule refl :args (@t540)) % 150.86/151.56 (step @p1072 :rule eq_resolve :premises (@p1071 @p1070)) % 150.86/151.56 (step @p1073 :rule ho_cong :premises (@p940 @p421)) % 150.86/151.56 (step @p1074 :rule cong :premises (@p1073 @p423) :args ((= (_ @t552 @t420) @t421))) % 150.86/151.56 (step @p1075 :rule symm :premises (@p1074)) % 150.86/151.56 (step @p1076 :rule refl :args (@t539)) % 150.86/151.56 (step @p1077 :rule eq_resolve :premises (@p1076 @p1075)) % 150.86/151.56 (step @p1078 :rule ho_cong :premises (@p448 @p419)) % 150.86/151.56 (step @p1079 :rule ho_cong :premises (@p1078 @p213)) % 150.86/151.56 (step @p1080 :rule cong :premises (@p1079 @p421) :args ((= (_ (_ @t344 @t419) @t324) @t420))) % 150.86/151.56 (step @p1081 :rule symm :premises (@p1080)) % 150.86/151.56 (step @p1082 :rule refl :args (@t538)) % 150.86/151.56 (step @p1083 :rule eq_resolve :premises (@p1082 @p1081)) % 150.86/151.56 (step @p1084 :rule ho_cong :premises (@p590 @p417)) % 150.86/151.56 (step @p1085 :rule cong :premises (@p1084 @p419) :args ((= (_ @t480 @t418) @t419))) % 150.86/151.56 (step @p1086 :rule symm :premises (@p1085)) % 150.86/151.56 (step @p1087 :rule refl :args (@t537)) % 150.86/151.56 (step @p1088 :rule eq_resolve :premises (@p1087 @p1086)) % 150.86/151.56 (step @p1089 :rule ho_cong :premises (@p696 @p415)) % 150.86/151.56 (step @p1090 :rule cong :premises (@p1089 @p417) :args ((= (_ @t459 @t417) @t418))) % 150.86/151.56 (step @p1091 :rule symm :premises (@p1090)) % 150.86/151.56 (step @p1092 :rule refl :args (@t536)) % 150.86/151.56 (step @p1093 :rule eq_resolve :premises (@p1092 @p1091)) % 150.86/151.56 (step @p1094 :rule refl :args (@t535)) % 150.86/151.56 (step @p1095 :rule cong :premises (@p1094 @p415) :args ((= @t535 @t417))) % 150.86/151.56 (step @p1096 :rule symm :premises (@p1095)) % 150.86/151.56 (step @p1097 :rule eq_resolve :premises (@p1094 @p1096)) % 150.86/151.56 (step @p1098 :rule ho_cong :premises (@p696 @p1097)) % 150.86/151.56 (step @p1099 :rule trans :premises (@p1098 @p1093)) % 150.86/151.56 (step @p1100 :rule ho_cong :premises (@p590 @p1099)) % 150.86/151.56 (step @p1101 :rule trans :premises (@p1100 @p1088)) % 150.86/151.56 (step @p1102 :rule ho_cong :premises (@p448 @p1101)) % 150.86/151.56 (step @p1103 :rule ho_cong :premises (@p1102 @p213)) % 150.86/151.56 (step @p1104 :rule trans :premises (@p1103 @p1083)) % 150.86/151.56 (step @p1105 :rule ho_cong :premises (@p946 @p1104)) % 150.86/151.56 (step @p1106 :rule trans :premises (@p1105 @p1077)) % 150.86/151.56 (step @p1107 :rule ho_cong :premises (@p667 @p1106)) % 150.86/151.56 (step @p1108 :rule trans :premises (@p1107 @p1072)) % 150.86/151.56 (step @p1109 :rule ho_cong :premises (@p448 @p1108)) % 150.86/151.56 (step @p1110 :rule ho_cong :premises (@p1109 @p1067)) % 150.86/151.56 (step @p1111 :rule trans :premises (@p1110 @p809)) % 150.86/151.56 (step @p1112 :rule ho_cong :premises (@p667 @p1111)) % 150.86/151.56 (step @p1113 :rule trans :premises (@p1112 @p803)) % 150.86/151.56 (step @p1114 :rule ho_cong :premises (@p667 @p1113)) % 150.86/151.56 (step @p1115 :rule trans :premises (@p1114 @p798)) % 150.86/151.56 (step @p1116 :rule ho_cong :premises (@p448 @p1115)) % 150.86/151.56 (step @p1117 :rule ho_cong :premises (@p1116 @p793)) % 150.86/151.56 (step @p1118 :rule trans :premises (@p1117 @p707)) % 150.86/151.56 (step @p1119 :rule ho_cong :premises (@p696 @p1118)) % 150.86/151.56 (step @p1120 :rule trans :premises (@p1119 @p701)) % 150.86/151.56 (step @p1121 :rule ho_cong :premises (@p448 @p1120)) % 150.86/151.56 (step @p1122 :rule ho_cong :premises (@p1121 @p213)) % 150.86/151.56 (step @p1123 :rule trans :premises (@p1122 @p695)) % 150.86/151.56 (step @p1124 :rule ho_cong :premises (@p448 @p1123)) % 150.86/151.56 (step @p1125 :rule ho_cong :premises (@p1124 @p213)) % 150.86/151.56 (step @p1126 :rule trans :premises (@p1125 @p689)) % 150.86/151.56 (step @p1127 :rule ho_cong :premises (@p448 @p1126)) % 150.86/151.56 (step @p1128 :rule ho_cong :premises (@p1127 @p494)) % 150.86/151.56 (step @p1129 :rule trans :premises (@p1128 @p683)) % 150.86/151.56 (step @p1130 :rule ho_cong :premises (@p590 @p1129)) % 150.86/151.56 (step @p1131 :rule trans :premises (@p1130 @p677)) % 150.86/151.56 (step @p1132 :rule ho_cong :premises (@p667 @p1131)) % 150.86/151.56 (step @p1133 :rule trans :premises (@p1132 @p672)) % 150.86/151.56 (step @p1134 :rule ho_cong :premises (@p448 @p1133)) % 150.86/151.56 (step @p1135 :rule ho_cong :premises (@p1134 @p666)) % 150.86/151.56 (step @p1136 :rule trans :premises (@p1135 @p454)) % 150.86/151.56 (step @p1137 :rule cong :premises (@p197 @p1136) :args (@t553)) % 150.86/151.56 (step @p1138 :rule cong :premises (@p1137) :args (@t554)) % 150.86/151.56 (step @p1139 :rule quant-unused-vars :args ((= @t558 @t554))) % 150.86/151.56 (step @p1140 :rule trans :premises (@p1139 @p1138)) % 150.86/151.56 (step @p1141 :rule nary_cong :premises (@p1140 @p194) :args ((and @t558 @t457))) % 150.86/151.56 (step @p1142 :rule alpha_equiv :args (@t559 @t560 (@list @t456 @t455 @t454 @t339 @t337 @t315 @t453 @t452))) % 150.86/151.56 (step @p1143 :rule alpha_equiv :args (@t561 @t560 (@list @t557 @t344 @t556 @t555 @t342 @t324 @t320 @t321))) % 150.86/151.56 (step @p1144 :rule nary_cong :premises (@p1143 @p1142) :args (@t562)) % 150.86/151.56 (step @p1145 :rule quant-miniscope-and :args ((= (forall @t79 @t563) @t562))) % 150.86/151.56 (step @p1146 :rule trans :premises (@p1145 @p1144)) % 150.86/151.56 (step @p1147 :rule trans :premises (@p1146 @p1141)) % 150.86/151.56 (step @p1148 :rule beta-reduce :args ((= (_ (lambda @t565 (and @t76 @t564)) @t58) @t563))) % 150.86/151.56 (step @p1149 :rule bool-double-not-elim :args (@t58)) % 150.86/151.56 (step @p1150 :rule quant-unused-vars :args ((= @t567 @t566))) % 150.86/151.56 (step @p1151 :rule cong :premises (@p1150) :args (@t568)) % 150.86/151.56 (step @p1152 :rule trans :premises (@p1151 @p1149)) % 150.86/151.56 (step @p1153 :rule exists-elim :args ((= @t61 @t568))) % 150.86/151.56 (step @p1154 :rule trans :premises (@p1153 @p1152)) % 150.86/151.56 (step @p1155 :rule bool-double-not-elim :args (@t564)) % 150.86/151.56 (step @p1156 :rule bool-eq-false :args (@t564)) % 150.86/151.56 (step @p1157 :rule cong :premises (@p1156) :args (@t570)) % 150.86/151.56 (step @p1158 :rule trans :premises (@p1157 @p1155)) % 150.86/151.56 (step @p1159 :rule aci_norm :args ((= (and @t570 true) @t570))) % 150.86/151.56 (step @p1160 :rule ite-then-false :args (@t569 true)) % 150.86/151.56 (step @p1161 :rule trans :premises (@p1160 @p1159)) % 150.86/151.56 (step @p1162 :rule trans :premises (@p1161 @p1158)) % 150.86/151.56 (step @p1163 :rule bool-eq-true :args (@t76)) % 150.86/151.56 (step @p1164 :rule nary_cong :premises (@p1163 @p1162) :args ((and @t572 @t571))) % 150.86/151.56 (step @p1165 :rule ite-else-false :args (@t572 @t571)) % 150.86/151.56 (step @p1166 :rule trans :premises (@p1165 @p1164)) % 150.86/151.56 (step @p1167 :rule cong :premises (@p1166) :args (@t573)) % 150.86/151.56 (step @p1168 :rule beta-reduce :args ((= (_ @t575 @t76) @t573))) % 150.86/151.56 (step @p1169 :rule trans :premises (@p1168 @p1167)) % 150.86/151.56 (step @p1170 :rule refl :args (@t76)) % 150.86/151.56 ; WARNING: add trust step for TRUST_THEORY_REWRITE % 150.86/151.56 ; trust TRUST_THEORY_REWRITE % 150.86/151.56 (step @p1171 :rule trust :premises () :args ((= @t577 @t575))) % 150.86/151.56 (step @p1172 :rule ho_cong :premises (@p1171 @p1170)) % 150.86/151.56 (step @p1173 :rule trans :premises (@p1172 @p1169)) % 150.86/151.56 (step @p1174 :rule ho_cong :premises (@p1173 @p1154)) % 150.86/151.56 (step @p1175 :rule trans :premises (@p1174 @p1148)) % 150.86/151.56 (step @p1176 :rule cong :premises (@p1175) :args (@t578)) % 150.86/151.56 (step @p1177 :rule trans :premises (@p1176 @p1147)) % 150.86/151.56 (step @p1178 :rule ho_cong :premises (@p158 @p1177)) % 150.86/151.56 (step @p1179 :rule trans :premises (@p1178 @p175)) % 150.86/151.56 (step @p1180 :rule cong :premises (@p1179) :args ((not (_ @t83 @t578)))) % 150.86/151.56 (step @p1181 :rule refl :args (@t61)) % 150.86/151.56 (step @p1182 :rule aci_norm :args ((= (and @t4 @t9 true) @t576))) % 150.86/151.56 (step @p1183 :rule refl :args (@t9)) % 150.86/151.56 (step @p1184 :rule nary_cong :premises (@p155 @p1183 @p123) :args (@t579)) % 150.86/151.56 (step @p1185 :rule trans :premises (@p1184 @p1182)) % 150.86/151.56 (step @p1186 :rule aci_norm :args ((= @t580 @t579))) % 150.86/151.56 (step @p1187 :rule trans :premises (@p1186 @p1185)) % 150.86/151.56 (step @p1188 :rule quant-var-elim-eq :args ((= (forall @t87 (or (not (= @t84 false)) @t582 @t84)) @t580))) % 150.86/151.56 (step @p1189 :rule refl :args (@t84)) % 150.86/151.56 (step @p1190 :rule refl :args (@t582)) % 150.86/151.56 (step @p1191 :rule bool-eq-false :args (@t84)) % 150.86/151.56 (step @p1192 :rule symm :premises (@p1191)) % 150.86/151.56 (step @p1193 :rule cong :premises (@p1192) :args ((not @t581))) % 150.86/151.56 (step @p1194 :rule bool-double-not-elim :args (@t84)) % 150.86/151.56 (step @p1195 :rule symm :premises (@p1194)) % 150.86/151.56 (step @p1196 :rule trans :premises (@p1195 @p1193)) % 150.86/151.56 (step @p1197 :rule nary_cong :premises (@p1196 @p1190 @p1189) :args (@t583)) % 150.86/151.56 (step @p1198 :rule aci_norm :args ((= @t584 @t583))) % 150.86/151.56 (step @p1199 :rule trans :premises (@p1198 @p1197)) % 150.86/151.56 (step @p1200 :rule cong :premises (@p1199) :args ((forall @t87 @t584))) % 150.86/151.56 (step @p1201 :rule trans :premises (@p1200 @p1188)) % 150.86/151.56 (step @p1202 :rule trans :premises (@p1201 @p1187)) % 150.86/151.56 (step @p1203 :rule aci_norm :args ((= (and @t4 (and @t9 @t581)) @t582))) % 150.86/151.56 (step @p1204 :rule bool-implies-de-morgan :args (@t9 @t84)) % 150.86/151.56 (step @p1205 :rule nary_cong :premises (@p131 @p1204) :args ((and @t4 (not @t85)))) % 150.86/151.56 (step @p1206 :rule trans :premises (@p1205 @p1203)) % 150.86/151.56 (step @p1207 :rule bool-implies-de-morgan :args (@t4 @t85)) % 150.86/151.56 (step @p1208 :rule trans :premises (@p1207 @p1206)) % 150.86/151.56 (step @p1209 :rule nary_cong :premises (@p1208 @p1189) :args ((or (not @t86) @t84))) % 150.86/151.56 (step @p1210 :rule bool-impl-elim :args (@t86 @t84)) % 150.86/151.56 (step @p1211 :rule trans :premises (@p1210 @p1209)) % 150.86/151.56 (step @p1212 :rule cong :premises (@p1211) :args (@t88)) % 150.86/151.56 (step @p1213 :rule trans :premises (@p1212 @p1202)) % 150.86/151.56 (step @p1214 :rule cong :premises (@p1213) :args (@t89)) % 150.86/151.56 (step @p1215 :rule trans :premises (@p19 @p1214)) % 150.86/151.56 (step @p1216 :rule ho_cong :premises (@p1215 @p1170)) % 150.86/151.56 (step @p1217 :rule ho_cong :premises (@p1216 @p1181)) % 150.86/151.56 (step @p1218 :rule cong :premises (@p1217) :args (@t80)) % 150.86/151.56 (step @p1219 :rule ho_cong :premises (@p18 @p1218)) % 150.86/151.56 (step @p1220 :rule cong :premises (@p1219) :args (@t81)) % 150.86/151.56 (step @p1221 :rule trans :premises (@p1220 @p1180)) % 150.86/151.56 (step @p1222 :rule trans :premises (@p1221 @p174 @p112)) % 150.86/151.56 (step @p1223 :rule eq_resolve :premises (@p16 @p1222)) % 150.86/151.56 (step @p1224 :rule and_elim :premises (@p1223) :args (1)) % 150.86/151.56 (step @p1225 :rule instantiate :premises (@p1224) :args ((@list @t599 (_ @t326 @t587 (_ @t317 @t588 (_ @t317 @t588 (_ @t317 (_ @t326 @t587 (_ @t317 (_ @t326 @t587 (_ @t317 (_ @t326 @t587 (_ @t317 @t588 (_ @t317 (_ @t326 @t587 (_ @t317 @t588 (_ @t317 @t588 (_ @t317 (_ @t326 @t587 (_ @t317 @t588 (_ @t317 @t594 (_ @t317 (_ @t326 @t587 (_ @t317 @t588 @t593)) tptp.c_Empty)))) (_ @t317 (_ @t326 @t587 (_ @t317 @t585 (_ @t317 (_ @t326 @t587 @t595) @t589))) (_ @t317 @t588 (_ @t317 @t588 (_ @t317 (_ @t326 @t587 (_ @t317 (_ @t326 @t587 (_ @t317 @t588 (_ @t317 @t596 @t591))) tptp.c_Empty)) (_ @t317 @t585 (_ @t317 (_ @t326 @t587 (_ @t317 @t588 (_ @t317 @t588 (_ @t317 (_ @t326 @t587 @t591) tptp.c_Empty)))) (_ @t317 (_ @t326 @t587 (_ @t317 @t596 tptp.c_Empty)) (_ @t317 @t585 (_ @t317 @t585 (_ @t317 (_ @t326 @t587 (_ @t317 (_ @t326 @t587 (_ @t317 (_ @t326 @t587 (_ @t317 @t588 (_ @t317 (_ @t326 @t587 (_ @t317 @t588 @t592)) tptp.c_Empty))) tptp.c_Empty)) @t593)) tptp.c_Empty)))))))))))))) (_ @t317 (_ @t326 @t587 (_ @t317 (_ @t326 @t587 (_ @t317 (_ @t326 @t587 (_ @t317 (_ @t326 @t587 @t593) (_ @t317 @t585 (_ @t317 @t585 (_ @t317 @t588 (_ @t317 @t585 @t591)))))) tptp.c_Empty)) tptp.c_Empty)) @t589)))) tptp.c_Empty)) tptp.c_Empty)) @t586)))) (_ @t317 (_ @t326 @t587 (_ @t317 (_ @t326 @t587 (_ @t317 @t585 (_ @t317 (_ @t326 @t587 (_ @t317 @t585 (_ @t317 (_ @t326 @t587 (_ @t317 (_ @t326 @t587 (_ @t317 (_ @t326 @t587 (_ @t317 @t588 (_ @t317 (_ @t326 @t587 (_ @t317 @t585 (_ @t317 @t585 @t592))) @t591))) tptp.c_Empty)) @t586)) (_ @t317 (_ @t326 @t587 (_ @t317 (_ @t326 @t587 (_ @t317 (_ @t326 @t587 (_ @t317 @t590 (_ @t317 @t585 (_ @t317 @t585 @t586)))) tptp.c_Empty)) tptp.c_Empty)) tptp.c_Empty)))) (_ @t317 (_ @t326 @t587 (_ @t317 @t590 @t586)) tptp.c_Empty)))) tptp.c_Empty)) tptp.c_Empty)))) % 150.86/151.56 (step @p1226 :rule true_intro :premises (@p1225)) % 150.86/151.56 (step @p1227 :rule and_elim :premises (@p1223) :args (0)) % 150.86/151.56 (step @p1228 :rule instantiate :premises (@p1227) :args ((@list @t587 @t585 tptp.c_Empty tptp.c_Empty tptp.c_Empty))) % 150.86/151.56 (step @p1229 :rule refl :args (@t599)) % 150.86/151.56 (step @p1230 :rule cong :premises (@p1229 @p1228) :args ((_ @t319 @t599 tptp.c_Empty))) % 150.86/151.56 ; trust TRUST PREPROCESS_HO_ELIM % 150.86/151.56 (step @p1231 :rule trust :premises () :args ((= @t601 (forall @t19 (not (_ @t319 (_ @t598 @t597 @t11) tptp.c_Empty)))))) % 150.86/151.56 (step @p1232 :rule bool-double-not-elim :args (@t601)) % 150.86/151.56 (step @p1233 :rule bool-impl-false1 :args (@t602)) % 150.86/151.56 (step @p1234 :rule trans :premises (@p1233 @p1232)) % 150.86/151.56 (step @p1235 :rule refl :args (@t602)) % 150.86/151.56 (step @p1236 :rule cong :premises (@p1235 @p170) :args (@t603)) % 150.86/151.56 (step @p1237 :rule trans :premises (@p1236 @p1234)) % 150.86/151.56 (step @p1238 :rule beta-reduce :args ((= (_ @t83 @t602) @t603))) % 150.86/151.56 (step @p1239 :rule refl :args (@t600)) % 150.86/151.56 (step @p1240 :rule refl :args (@t18)) % 150.86/151.56 (step @p1241 :rule cong :premises (@p1240 @p1239) :args ((= @t18 @t600))) % 150.86/151.56 (step @p1242 :rule symm :premises (@p1241)) % 150.86/151.56 (step @p1243 :rule eq_resolve :premises (@p1240 @p1242)) % 150.86/151.56 (step @p1244 :rule cong :premises (@p1243) :args (@t604)) % 150.86/151.56 (step @p1245 :rule cong :premises (@p1244) :args (@t605)) % 150.86/151.56 (step @p1246 :rule cong :premises (@p1245) :args (@t606)) % 150.86/151.56 (step @p1247 :rule exists-elim :args ((= @t20 @t606))) % 150.86/151.56 (step @p1248 :rule trans :premises (@p1247 @p1246)) % 150.86/151.56 (step @p1249 :rule ho_cong :premises (@p158 @p1248)) % 150.86/151.56 (step @p1250 :rule trans :premises (@p1249 @p1238)) % 150.86/151.56 (step @p1251 :rule refl :args (@t20)) % 150.86/151.56 (step @p1252 :rule ho_cong :premises (@p18 @p1251)) % 150.86/151.56 (step @p1253 :rule trans :premises (@p1252 @p1250)) % 150.86/151.56 (step @p1254 :rule trans :premises (@p1253 @p1237 @p1231)) % 150.86/151.56 (step @p1255 :rule eq_resolve :premises (@p5 @p1254)) % 150.86/151.56 (step @p1256 :rule instantiate :premises (@p1255) :args ((@list tptp.c_Empty))) % 150.86/151.56 (step @p1257 :rule false_intro :premises (@p1256)) % 150.86/151.56 (step @p1258 :rule symm :premises (@p1257)) % 150.86/151.56 (step @p1259 :rule trans :premises (@p1258 @p1230 @p1226)) % 150.86/151.56 (step @p1260 false :rule eq_resolve :premises (@p1259 @p111)) % 150.86/151.56 ) % 150.86/151.56 % SZS output end Proof % 150.86/151.56 % cvc5 exiting %------------------------------------------------------------------------------