%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET575^7 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:48:04 AM UTC 2026 % Result : Theorem 160.64s 160.92s % Output : Proof 160.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET575^7 : TPTP v9.2.1. Released v5.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:01:16 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.52 %----Proving TH0 % 160.64/160.92 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 160.64/160.92 --- 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... % 160.64/160.92 --- 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... % 160.64/160.92 --- Run --ho-elim --full-saturate-quant at 18s... % 160.64/160.92 % SZS status Theorem % 160.64/160.92 % SZS output start Proof % 160.64/160.92 ( % 160.64/160.92 (declare-sort $$unsorted 0) % 160.64/160.92 (declare-sort tptp.mu 0) % 160.64/160.92 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 160.64/160.92 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 160.64/160.92 (declare-const tptp.member (-> tptp.mu tptp.mu $$unsorted Bool)) % 160.64/160.92 (declare-const tptp.intersect (-> tptp.mu tptp.mu $$unsorted Bool)) % 160.64/160.92 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 160.64/160.92 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 160.64/160.92 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 160.64/160.92 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 160.64/160.92 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 160.64/160.92 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 160.64/160.92 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 160.64/160.92 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 160.64/160.92 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 160.64/160.92 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 160.64/160.92 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 160.64/160.92 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 160.64/160.92 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 160.64/160.92 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.exists_in_world _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 160.64/160.92 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 160.64/160.92 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 160.64/160.92 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 160.64/160.92 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 160.64/160.92 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 160.64/160.92 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 160.64/160.92 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 160.64/160.92 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 160.64/160.92 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 160.64/160.92 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 160.64/160.92 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 160.64/160.92 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 160.64/160.92 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 160.64/160.92 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 160.64/160.92 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 160.64/160.92 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 160.64/160.92 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 160.64/160.92 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 160.64/160.92 (define @t1 () (@var "V" $$unsorted)) % 160.64/160.92 (define @t2 () (@var "X" tptp.mu)) % 160.64/160.92 (define @t3 () (_ tptp.exists_in_world @t2)) % 160.64/160.92 (define @t4 () (_ @t3 @t1)) % 160.64/160.92 (define @t5 () (@list @t2)) % 160.64/160.92 (define @t6 () (@list @t1)) % 160.64/160.92 (define @t7 () (@var "W" $$unsorted)) % 160.64/160.92 (define @t8 () (_ @t3 @t7)) % 160.64/160.92 (define @t9 () (_ (_ tptp.rel_s4 @t1) @t7)) % 160.64/160.92 (define @t10 () (and @t4 @t9)) % 160.64/160.92 (define @t11 () (@list @t2 @t1 @t7)) % 160.64/160.92 (define @t12 () (forall @t11 (=> @t10 @t8))) % 160.64/160.92 (define @t13 () (@var "__flatten_var_0" $$unsorted)) % 160.64/160.92 (define @t14 () (@var "C" tptp.mu)) % 160.64/160.92 (define @t15 () (@var "B" tptp.mu)) % 160.64/160.92 (define @t16 () (_ (_ tptp.intersect @t15) @t14)) % 160.64/160.92 (define @t17 () (_ tptp.mbox_s4 @t16)) % 160.64/160.92 (define @t18 () (@var "D" tptp.mu)) % 160.64/160.92 (define @t19 () (_ tptp.member @t18)) % 160.64/160.92 (define @t20 () (_ @t19 @t14)) % 160.64/160.92 (define @t21 () (_ @t19 @t15)) % 160.64/160.92 (define @t22 () (@list @t18 @t13)) % 160.64/160.92 (define @t23 () (lambda @t22 (_ (_ (_ tptp.mand (_ tptp.mbox_s4 @t21)) (_ tptp.mbox_s4 @t20)) @t13))) % 160.64/160.92 (define @t24 () (_ tptp.mexists_ind @t23)) % 160.64/160.92 (define @t25 () (_ tptp.mimplies @t17)) % 160.64/160.92 (define @t26 () (_ tptp.mbox_s4 (_ @t25 @t24))) % 160.64/160.92 (define @t27 () (@list @t14 @t13)) % 160.64/160.92 (define @t28 () (lambda @t27 (_ (_ (_ tptp.mand @t26) (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t24) @t17))) @t13))) % 160.64/160.92 (define @t29 () (@list @t15 @t13)) % 160.64/160.92 (define @t30 () (lambda @t29 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind @t28)) @t13))) % 160.64/160.92 (define @t31 () (lambda @t27 (_ @t26 @t13))) % 160.64/160.92 (define @t32 () (lambda @t29 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind @t31)) @t13))) % 160.64/160.92 (define @t33 () (not (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind @t32))))) % 160.64/160.92 (define @t34 () (@var "Y" (-> $$unsorted Bool))) % 160.64/160.92 (define @t35 () (@var "X" (-> $$unsorted Bool))) % 160.64/160.92 (define @t36 () (lambda (@list @t35 @t34 @t7) (= (_ @t35 @t7) (_ @t34 @t7)))) % 160.64/160.92 (define @t37 () (@var "Phi" (-> $$unsorted Bool))) % 160.64/160.92 (define @t38 () (_ @t37 @t7)) % 160.64/160.92 (define @t39 () (not @t38)) % 160.64/160.92 (define @t40 () (@list @t37 @t7)) % 160.64/160.92 (define @t41 () (lambda @t40 @t39)) % 160.64/160.92 (define @t42 () (@var "Psi" (-> $$unsorted Bool))) % 160.64/160.92 (define @t43 () (_ @t42 @t7)) % 160.64/160.92 (define @t44 () (lambda (@list @t37 @t42 @t7) (or @t38 @t43))) % 160.64/160.92 (define @t45 () (_ @t37 @t1)) % 160.64/160.92 (define @t46 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 160.64/160.92 (define @t47 () (lambda (@list @t46 @t37 @t7) (forall @t6 (or (not (_ (_ @t46 @t7) @t1)) @t45)))) % 160.64/160.92 (define @t48 () (@var "P" (-> $$unsorted Bool))) % 160.64/160.92 (define @t49 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 160.64/160.92 (define @t50 () (_ @t49 @t48)) % 160.64/160.92 (define @t51 () (lambda (@list @t49 @t7) (forall (@list @t48) (_ @t50 @t7)))) % 160.64/160.92 (define @t52 () (@list @t7)) % 160.64/160.92 (define @t53 () (lambda @t52 true)) % 160.64/160.92 (define @t54 () (_ tptp.mnot @t42)) % 160.64/160.92 (define @t55 () (_ tptp.mnot @t37)) % 160.64/160.92 (define @t56 () (_ tptp.mor @t55)) % 160.64/160.92 (define @t57 () (@list @t37 @t42 @t13)) % 160.64/160.92 (define @t58 () (lambda @t57 (_ (_ tptp.mnot (_ @t56 @t54)) @t13))) % 160.64/160.92 (define @t59 () (lambda @t57 (_ (_ @t56 @t42) @t13))) % 160.64/160.92 (define @t60 () (lambda @t57 (_ (_ (_ tptp.mor @t54) @t37) @t13))) % 160.64/160.92 (define @t61 () (lambda @t57 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t37) @t42)) (_ (_ tptp.mimplies @t42) @t37)) @t13))) % 160.64/160.92 (define @t62 () (lambda @t57 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t37) @t42)) @t13))) % 160.64/160.92 (define @t63 () (lambda (@list @t46 @t37 @t13) (_ (_ tptp.mnot (_ (_ tptp.mbox @t46) @t55)) @t13))) % 160.64/160.92 (define @t64 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 160.64/160.92 (define @t65 () (_ @t64 @t2)) % 160.64/160.92 (define @t66 () (_ @t65 @t7)) % 160.64/160.92 (define @t67 () (forall @t5 (=> @t8 @t66))) % 160.64/160.92 (define @t68 () (@list @t64 @t7)) % 160.64/160.92 (define @t69 () (lambda @t68 @t67)) % 160.64/160.92 (define @t70 () (@list @t2 @t13)) % 160.64/160.92 (define @t71 () (lambda @t70 (_ (_ tptp.mnot @t65) @t13))) % 160.64/160.92 (define @t72 () (@list @t64 @t13)) % 160.64/160.92 (define @t73 () (lambda @t72 (_ (_ tptp.mnot (_ tptp.mforall_ind @t71)) @t13))) % 160.64/160.92 (define @t74 () (lambda (@list @t49 @t13) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t48 @t13) (_ (_ tptp.mnot @t50) @t13)))) @t13))) % 160.64/160.92 (define @t75 () (@var "S" $$unsorted)) % 160.64/160.92 (define @t76 () (_ @t46 @t75)) % 160.64/160.92 (define @t77 () (_ @t76 @t75)) % 160.64/160.92 (define @t78 () (@list @t75)) % 160.64/160.92 (define @t79 () (forall @t78 @t77)) % 160.64/160.92 (define @t80 () (@list @t46)) % 160.64/160.92 (define @t81 () (lambda @t80 @t79)) % 160.64/160.92 (define @t82 () (@var "T" $$unsorted)) % 160.64/160.92 (define @t83 () (_ @t46 @t82)) % 160.64/160.92 (define @t84 () (_ @t76 @t82)) % 160.64/160.92 (define @t85 () (lambda @t80 (forall (@list @t75 @t82) (=> @t84 (_ @t83 @t75))))) % 160.64/160.92 (define @t86 () (@list @t82)) % 160.64/160.92 (define @t87 () (lambda @t80 (forall @t78 (exists @t86 @t84)))) % 160.64/160.92 (define @t88 () (@var "U" $$unsorted)) % 160.64/160.92 (define @t89 () (_ @t76 @t88)) % 160.64/160.92 (define @t90 () (_ @t83 @t88)) % 160.64/160.92 (define @t91 () (and @t84 @t90)) % 160.64/160.92 (define @t92 () (@list @t75 @t82 @t88)) % 160.64/160.92 (define @t93 () (forall @t92 (=> @t91 @t89))) % 160.64/160.92 (define @t94 () (lambda @t80 @t93)) % 160.64/160.92 (define @t95 () (and @t84 @t89)) % 160.64/160.92 (define @t96 () (lambda @t80 (forall @t92 (=> @t95 @t90)))) % 160.64/160.92 (define @t97 () (= @t82 @t88)) % 160.64/160.92 (define @t98 () (lambda @t80 (forall @t92 (=> @t95 @t97)))) % 160.64/160.92 (define @t99 () (@list @t88)) % 160.64/160.92 (define @t100 () (lambda @t80 (forall @t78 (exists @t86 (and @t84 (forall @t99 (=> @t89 @t97))))))) % 160.64/160.92 (define @t101 () (_ @t46 @t88)) % 160.64/160.92 (define @t102 () (_ @t101 @t82)) % 160.64/160.92 (define @t103 () (lambda @t80 (forall @t92 (=> @t84 (exists @t99 (and @t89 @t102)))))) % 160.64/160.92 (define @t104 () (lambda @t80 (forall @t92 (=> @t95 (or @t90 @t97 @t102))))) % 160.64/160.92 (define @t105 () (lambda @t80 (forall @t92 (=> @t95 (exists @t6 (and (_ @t83 @t1) (_ @t101 @t1))))))) % 160.64/160.92 (define @t106 () (forall @t52 @t38)) % 160.64/160.92 (define @t107 () (@list @t37)) % 160.64/160.92 (define @t108 () (lambda @t107 @t106)) % 160.64/160.92 (define @t109 () (lambda @t107 (exists @t52 @t38))) % 160.64/160.92 (define @t110 () (lambda @t107 (exists @t52 @t39))) % 160.64/160.92 (define @t111 () (lambda @t107 (forall @t52 @t39))) % 160.64/160.92 (define @t112 () (_ (_ tptp.rel_s4 @t7) @t1)) % 160.64/160.92 (define @t113 () (not @t112)) % 160.64/160.92 (define @t114 () (or @t113 @t45)) % 160.64/160.92 (define @t115 () (forall @t6 @t114)) % 160.64/160.92 (define @t116 () (lambda @t40 @t115)) % 160.64/160.92 (define @t117 () (lambda (@list @t37 @t13) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t55)) @t13))) % 160.64/160.92 (define @t118 () (@var "BOUND_VARIABLE_8629" $$unsorted)) % 160.64/160.92 (define @t119 () (@var "BOUND_VARIABLE_9661" tptp.mu)) % 160.64/160.92 (define @t120 () (@var "BOUND_VARIABLE_9470" tptp.mu)) % 160.64/160.92 (define @t121 () (@const 0 (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)))) % 160.64/160.92 (define @t122 () (@const 1 (-> (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> tptp.mu $$unsorted Bool))))) % 160.64/160.92 (define @t123 () (_ @t122 @t121 @t120)) % 160.64/160.92 (define @t124 () (@const 2 (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> $$unsorted Bool))))) % 160.64/160.92 (define @t125 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 160.64/160.92 (define @t126 () (@var "BOUND_VARIABLE_9663" $$unsorted)) % 160.64/160.92 (define @t127 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 160.64/160.92 (define @t128 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 160.64/160.92 (define @t129 () (_ @t128 @t127 @t126)) % 160.64/160.92 (define @t130 () (@list @t118)) % 160.64/160.92 (define @t131 () (@var "BOUND_VARIABLE_8638" $$unsorted)) % 160.64/160.92 (define @t132 () (@var "BOUND_VARIABLE_9657" tptp.mu)) % 160.64/160.92 (define @t133 () (@list @t131)) % 160.64/160.92 (define @t134 () (@const 6 (@ho-elim-sort (-> tptp.mu $$unsorted Bool)))) % 160.64/160.92 (define @t135 () (_ @t124 @t134 @t120)) % 160.64/160.92 (define @t136 () (@list @t120)) % 160.64/160.92 (define @t137 () (@var "BOUND_VARIABLE_8650" $$unsorted)) % 160.64/160.92 (define @t138 () (@const 7 (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)))) % 160.64/160.92 (define @t139 () (@list @t137)) % 160.64/160.92 (define @t140 () (@var "BOUND_VARIABLE_9659" $$unsorted)) % 160.64/160.92 (define @t141 () (_ @t128 @t127 @t1)) % 160.64/160.92 (define @t142 () (not (_ @t125 (_ @t128 @t127 @t7) @t1))) % 160.64/160.92 (define @t143 () (@list @t7 @t1 @t132 @t140 @t119 @t126)) % 160.64/160.92 (define @t144 () (forall @t143 (or @t142 (not (_ @t125 (_ @t124 @t134 @t132) @t1)) (not (_ @t125 @t141 @t140)) (not (_ @t125 (_ @t124 @t134 @t119) @t140)) (not (_ @t125 (_ @t128 @t127 @t140) @t126)) (not (forall @t139 (or (not (_ @t125 @t129 @t137)) (_ @t125 (_ @t124 (_ @t122 @t138 @t132) @t119) @t137)))) (not (forall @t136 (or (not (_ @t125 @t135 @t126)) (not (forall @t133 (or (not (_ @t125 @t129 @t131)) (_ @t125 (_ @t124 @t123 @t132) @t131)))) (not (forall @t130 (or (not (_ @t125 @t129 @t118)) (_ @t125 (_ @t124 @t123 @t119) @t118)))))))))) % 160.64/160.93 (define @t145 () (not (forall @t136 (or (not (tptp.exists_in_world @t120 @t126)) (not (forall @t133 (or (not (tptp.rel_s4 @t126 @t131)) (tptp.member @t120 @t132 @t131)))) (not (forall @t130 (or (not (tptp.rel_s4 @t126 @t118)) (tptp.member @t120 @t119 @t118)))))))) % 160.64/160.93 (define @t146 () (not (forall @t139 (or (not (tptp.rel_s4 @t126 @t137)) (tptp.intersect @t132 @t119 @t137))))) % 160.64/160.93 (define @t147 () (not (tptp.rel_s4 @t140 @t126))) % 160.64/160.93 (define @t148 () (not (tptp.exists_in_world @t119 @t140))) % 160.64/160.93 (define @t149 () (not (tptp.rel_s4 @t1 @t140))) % 160.64/160.93 (define @t150 () (not (tptp.exists_in_world @t132 @t1))) % 160.64/160.93 (define @t151 () (tptp.rel_s4 @t7 @t1)) % 160.64/160.93 (define @t152 () (not @t151)) % 160.64/160.93 (define @t153 () (or @t152 @t150 @t149 @t148 @t147 @t146 @t145)) % 160.64/160.93 (define @t154 () (forall @t143 @t153)) % 160.64/160.93 (define @t155 () (@list @t1 @t132 @t140 @t119 @t126)) % 160.64/160.93 (define @t156 () (forall @t155 @t153)) % 160.64/160.93 (define @t157 () (lambda @t52 @t156)) % 160.64/160.93 (define @t158 () (_ @t157 @t7)) % 160.64/160.93 (define @t159 () (forall @t52 @t158)) % 160.64/160.93 (define @t160 () (_ @t37 @t7)) % 160.64/160.93 (define @t161 () (lambda @t107 (forall @t52 @t160))) % 160.64/160.93 (define @t162 () (or @t150 @t149 @t148 @t147 @t146 @t145)) % 160.64/160.93 (define @t163 () (or @t152 @t162)) % 160.64/160.93 (define @t164 () (forall @t155 @t163)) % 160.64/160.93 (define @t165 () (@list @t132 @t140 @t119 @t126)) % 160.64/160.93 (define @t166 () (forall @t165 @t163)) % 160.64/160.93 (define @t167 () (forall @t165 @t162)) % 160.64/160.93 (define @t168 () (@var "BOUND_VARIABLE_9609" $$unsorted)) % 160.64/160.93 (define @t169 () (@var "BOUND_VARIABLE_9607" tptp.mu)) % 160.64/160.93 (define @t170 () (@var "BOUND_VARIABLE_9605" $$unsorted)) % 160.64/160.93 (define @t171 () (or @t152 @t167)) % 160.64/160.93 (define @t172 () (tptp.member @t120 @t2 @t131)) % 160.64/160.93 (define @t173 () (not (forall @t136 (or (not (tptp.exists_in_world @t120 @t168)) (not (forall @t133 (or (not (tptp.rel_s4 @t168 @t131)) @t172))) (not (forall @t130 (or (not (tptp.rel_s4 @t168 @t118)) (tptp.member @t120 @t169 @t118)))))))) % 160.64/160.93 (define @t174 () (not (forall @t139 (or (not (tptp.rel_s4 @t168 @t137)) (tptp.intersect @t2 @t169 @t137))))) % 160.64/160.93 (define @t175 () (not (tptp.rel_s4 @t170 @t168))) % 160.64/160.93 (define @t176 () (not (tptp.exists_in_world @t169 @t170))) % 160.64/160.93 (define @t177 () (tptp.exists_in_world @t2 @t1)) % 160.64/160.93 (define @t178 () (not @t177)) % 160.64/160.93 (define @t179 () (@list @t2 @t170 @t169 @t168)) % 160.64/160.93 (define @t180 () (forall @t179 (or @t178 (not (tptp.rel_s4 @t1 @t170)) @t176 @t175 @t174 @t173))) % 160.64/160.93 (define @t181 () (not (tptp.rel_s4 @t7 @t170))) % 160.64/160.93 (define @t182 () (tptp.exists_in_world @t2 @t7)) % 160.64/160.93 (define @t183 () (not @t182)) % 160.64/160.93 (define @t184 () (or @t183 @t181 @t176 @t175 @t174 @t173)) % 160.64/160.93 (define @t185 () (lambda @t52 (forall @t179 @t184))) % 160.64/160.93 (define @t186 () (_ @t185 @t1)) % 160.64/160.93 (define @t187 () (or @t152 @t186)) % 160.64/160.93 (define @t188 () (forall @t6 @t187)) % 160.64/160.93 (define @t189 () (lambda @t52 @t188)) % 160.64/160.93 (define @t190 () (_ @t37 @t1)) % 160.64/160.93 (define @t191 () (lambda @t40 (forall @t6 (or @t152 @t190)))) % 160.64/160.93 (define @t192 () (or @t181 @t176 @t175 @t174 @t173)) % 160.64/160.93 (define @t193 () (or @t183 @t192)) % 160.64/160.93 (define @t194 () (forall @t179 @t193)) % 160.64/160.93 (define @t195 () (@list @t170 @t169 @t168)) % 160.64/160.93 (define @t196 () (forall @t195 @t193)) % 160.64/160.93 (define @t197 () (forall @t195 @t192)) % 160.64/160.93 (define @t198 () (@var "BOUND_VARIABLE_9545" $$unsorted)) % 160.64/160.93 (define @t199 () (@var "BOUND_VARIABLE_9543" tptp.mu)) % 160.64/160.93 (define @t200 () (or @t183 @t197)) % 160.64/160.93 (define @t201 () (not (forall @t130 (or (not (tptp.rel_s4 @t198 @t118)) (tptp.member @t120 @t199 @t118))))) % 160.64/160.93 (define @t202 () (not (tptp.rel_s4 @t198 @t131))) % 160.64/160.93 (define @t203 () (not (tptp.exists_in_world @t120 @t198))) % 160.64/160.93 (define @t204 () (not (tptp.rel_s4 @t198 @t137))) % 160.64/160.93 (define @t205 () (not (tptp.rel_s4 @t1 @t198))) % 160.64/160.93 (define @t206 () (not (tptp.exists_in_world @t199 @t1))) % 160.64/160.93 (define @t207 () (@list @t1 @t199 @t198)) % 160.64/160.93 (define @t208 () (forall @t207 (or @t152 @t206 @t205 (not (forall @t139 (or @t204 (tptp.intersect @t2 @t199 @t137)))) (not (forall @t136 (or @t203 (not (forall @t133 (or @t202 @t172))) @t201)))))) % 160.64/160.93 (define @t209 () (tptp.member @t120 @t15 @t131)) % 160.64/160.93 (define @t210 () (not (forall @t136 (or @t203 (not (forall @t133 (or @t202 @t209))) @t201)))) % 160.64/160.93 (define @t211 () (not (forall @t139 (or @t204 (tptp.intersect @t15 @t199 @t137))))) % 160.64/160.93 (define @t212 () (not (tptp.rel_s4 @t13 @t1))) % 160.64/160.93 (define @t213 () (forall @t207 (or @t212 @t206 @t205 @t211 @t210))) % 160.64/160.93 (define @t214 () (lambda @t29 @t213)) % 160.64/160.93 (define @t215 () (_ @t214 @t2 @t7)) % 160.64/160.93 (define @t216 () (or @t183 @t215)) % 160.64/160.93 (define @t217 () (forall @t5 @t216)) % 160.64/160.93 (define @t218 () (lambda @t52 @t217)) % 160.64/160.93 (define @t219 () (_ @t64 @t2 @t7)) % 160.64/160.93 (define @t220 () (lambda @t68 (forall @t5 (or @t183 @t219)))) % 160.64/160.93 (define @t221 () (or @t152 @t206 @t205 @t211 @t210)) % 160.64/160.93 (define @t222 () (or @t206 @t205 @t211 @t210)) % 160.64/160.93 (define @t223 () (or @t152 @t222)) % 160.64/160.93 (define @t224 () (forall @t207 @t223)) % 160.64/160.93 (define @t225 () (@list @t199 @t198)) % 160.64/160.93 (define @t226 () (forall @t225 @t223)) % 160.64/160.93 (define @t227 () (forall @t225 @t222)) % 160.64/160.93 (define @t228 () (@var "BOUND_VARIABLE_9501" $$unsorted)) % 160.64/160.93 (define @t229 () (or @t152 @t227)) % 160.64/160.93 (define @t230 () (tptp.member @t120 @t2 @t118)) % 160.64/160.93 (define @t231 () (not (forall @t136 (or (not (tptp.exists_in_world @t120 @t228)) (not (forall @t133 (or (not (tptp.rel_s4 @t228 @t131)) @t209))) (not (forall @t130 (or (not (tptp.rel_s4 @t228 @t118)) @t230))))))) % 160.64/160.93 (define @t232 () (tptp.intersect @t15 @t2 @t137)) % 160.64/160.93 (define @t233 () (not (forall @t139 (or (not (tptp.rel_s4 @t228 @t137)) @t232)))) % 160.64/160.93 (define @t234 () (@list @t2 @t228)) % 160.64/160.93 (define @t235 () (forall @t234 (or @t178 (not (tptp.rel_s4 @t1 @t228)) @t233 @t231))) % 160.64/160.93 (define @t236 () (not (tptp.rel_s4 @t7 @t228))) % 160.64/160.93 (define @t237 () (or @t183 @t236 @t233 @t231)) % 160.64/160.93 (define @t238 () (lambda @t52 (forall @t234 @t237))) % 160.64/160.93 (define @t239 () (_ @t238 @t1)) % 160.64/160.93 (define @t240 () (or @t152 @t239)) % 160.64/160.93 (define @t241 () (forall @t6 @t240)) % 160.64/160.93 (define @t242 () (lambda @t52 @t241)) % 160.64/160.93 (define @t243 () (or @t236 @t233 @t231)) % 160.64/160.93 (define @t244 () (or @t183 @t243)) % 160.64/160.93 (define @t245 () (forall @t234 @t244)) % 160.64/160.93 (define @t246 () (@list @t228)) % 160.64/160.93 (define @t247 () (forall @t246 @t244)) % 160.64/160.93 (define @t248 () (forall @t246 @t243)) % 160.64/160.93 (define @t249 () (@list @t1)) % 160.64/160.93 (define @t250 () (or @t183 @t248)) % 160.64/160.93 (define @t251 () (not (tptp.rel_s4 @t1 @t118))) % 160.64/160.93 (define @t252 () (not (tptp.rel_s4 @t1 @t131))) % 160.64/160.93 (define @t253 () (not (forall @t133 (or @t252 @t209)))) % 160.64/160.93 (define @t254 () (not (tptp.exists_in_world @t120 @t1))) % 160.64/160.93 (define @t255 () (not (tptp.rel_s4 @t1 @t137))) % 160.64/160.93 (define @t256 () (not (forall @t139 (or @t255 @t232)))) % 160.64/160.93 (define @t257 () (forall @t6 (or @t152 @t256 (not (forall @t136 (or @t254 @t253 (not (forall @t130 (or @t251 @t230))))))))) % 160.64/160.93 (define @t258 () (tptp.intersect @t15 @t14 @t137)) % 160.64/160.93 (define @t259 () (not (forall @t139 (or @t255 @t258)))) % 160.64/160.93 (define @t260 () (tptp.member @t2 @t14 @t118)) % 160.64/160.93 (define @t261 () (tptp.member @t2 @t15 @t131)) % 160.64/160.93 (define @t262 () (forall @t5 (or @t178 (not (forall @t133 (or @t252 @t261))) (not (forall @t130 (or @t251 @t260)))))) % 160.64/160.93 (define @t263 () (@list @t2)) % 160.64/160.93 (define @t264 () (not @t262)) % 160.64/160.93 (define @t265 () (or @t212 @t259 @t264)) % 160.64/160.93 (define @t266 () (forall @t6 @t265)) % 160.64/160.93 (define @t267 () (lambda @t27 @t266)) % 160.64/160.93 (define @t268 () (or @t183 (_ @t267 @t2 @t7))) % 160.64/160.93 (define @t269 () (forall @t5 @t268)) % 160.64/160.93 (define @t270 () (lambda @t52 @t269)) % 160.64/160.93 (define @t271 () (or @t152 @t259 @t264)) % 160.64/160.93 (define @t272 () (lambda @t52 (forall @t6 @t271))) % 160.64/160.93 (define @t273 () (_ @t272 @t13)) % 160.64/160.93 (define @t274 () (or @t259 @t264)) % 160.64/160.93 (define @t275 () (not (tptp.exists_in_world @t2 @t13))) % 160.64/160.93 (define @t276 () (@list @t13)) % 160.64/160.93 (define @t277 () (forall @t6 (or @t212 (tptp.member @t2 @t14 @t1)))) % 160.64/160.93 (define @t278 () (not @t277)) % 160.64/160.93 (define @t279 () (forall @t6 (or @t212 (tptp.member @t2 @t15 @t1)))) % 160.64/160.93 (define @t280 () (not @t279)) % 160.64/160.93 (define @t281 () (or @t275 @t280 @t278)) % 160.64/160.93 (define @t282 () (forall @t5 @t281)) % 160.64/160.93 (define @t283 () (not @t282)) % 160.64/160.93 (define @t284 () (tptp.intersect @t15 @t14 @t1)) % 160.64/160.93 (define @t285 () (forall @t6 (or @t212 @t284))) % 160.64/160.93 (define @t286 () (not @t285)) % 160.64/160.93 (define @t287 () (or @t286 @t283)) % 160.64/160.93 (define @t288 () (lambda @t276 @t287)) % 160.64/160.93 (define @t289 () (or @t152 (_ @t288 @t1))) % 160.64/160.93 (define @t290 () (forall @t6 @t289)) % 160.64/160.93 (define @t291 () (lambda @t52 @t290)) % 160.64/160.93 (define @t292 () (lambda @t276 @t283)) % 160.64/160.93 (define @t293 () (_ @t292 @t13)) % 160.64/160.93 (define @t294 () (or @t286 @t293)) % 160.64/160.93 (define @t295 () (lambda @t276 @t294)) % 160.64/160.93 (define @t296 () (_ @t42 @t13)) % 160.64/160.93 (define @t297 () (@list @t42 @t13)) % 160.64/160.93 (define @t298 () (or @t280 @t278)) % 160.64/160.93 (define @t299 () (tptp.member @t18 @t14 @t1)) % 160.64/160.93 (define @t300 () (forall @t6 (or @t212 @t299))) % 160.64/160.93 (define @t301 () (tptp.member @t18 @t15 @t1)) % 160.64/160.93 (define @t302 () (forall @t6 (or @t212 @t301))) % 160.64/160.93 (define @t303 () (not @t302)) % 160.64/160.93 (define @t304 () (not (or @t303 (not @t300)))) % 160.64/160.93 (define @t305 () (lambda @t22 @t304)) % 160.64/160.93 (define @t306 () (_ @t305 @t2 @t13)) % 160.64/160.93 (define @t307 () (not @t306)) % 160.64/160.93 (define @t308 () (or @t275 @t307)) % 160.64/160.93 (define @t309 () (forall @t5 @t308)) % 160.64/160.93 (define @t310 () (not @t309)) % 160.64/160.93 (define @t311 () (lambda @t276 @t310)) % 160.64/160.93 (define @t312 () (not (forall @t5 (or @t275 (not (_ @t64 @t2 @t13)))))) % 160.64/160.93 (define @t313 () (lambda @t72 @t312)) % 160.64/160.93 (define @t314 () (lambda @t52 (forall @t6 (or @t152 @t299)))) % 160.64/160.93 (define @t315 () (_ @t314 @t13)) % 160.64/160.93 (define @t316 () (not @t315)) % 160.64/160.93 (define @t317 () (or @t303 @t316)) % 160.64/160.93 (define @t318 () (not @t317)) % 160.64/160.93 (define @t319 () (lambda @t276 @t318)) % 160.64/160.93 (define @t320 () (not @t296)) % 160.64/160.93 (define @t321 () (_ @t20 @t1)) % 160.64/160.93 (define @t322 () (or @t152 @t321)) % 160.64/160.93 (define @t323 () (_ @t20 @t1)) % 160.64/160.93 (define @t324 () (or @t152 @t323)) % 160.64/160.93 (define @t325 () (forall @t6 @t324)) % 160.64/160.93 (define @t326 () (lambda @t52 @t325)) % 160.64/160.93 (define @t327 () (_ @t191 @t20)) % 160.64/160.93 (define @t328 () (lambda @t52 (forall @t6 (or @t152 @t301)))) % 160.64/160.93 (define @t329 () (_ @t328 @t13)) % 160.64/160.93 (define @t330 () (not @t329)) % 160.64/160.93 (define @t331 () (or @t330 @t320)) % 160.64/160.93 (define @t332 () (not @t331)) % 160.64/160.93 (define @t333 () (lambda @t297 @t332)) % 160.64/160.93 (define @t334 () (not (_ @t37 @t13))) % 160.64/160.93 (define @t335 () (not (or @t334 @t320))) % 160.64/160.93 (define @t336 () (lambda @t57 @t335)) % 160.64/160.93 (define @t337 () (_ @t21 @t1)) % 160.64/160.93 (define @t338 () (or @t152 @t337)) % 160.64/160.93 (define @t339 () (_ @t21 @t1)) % 160.64/160.93 (define @t340 () (or @t152 @t339)) % 160.64/160.93 (define @t341 () (forall @t6 @t340)) % 160.64/160.93 (define @t342 () (lambda @t52 @t341)) % 160.64/160.93 (define @t343 () (_ @t191 @t21)) % 160.64/160.93 (define @t344 () (lambda @t22 (_ (_ (_ @t336 @t343) @t327) @t13))) % 160.64/160.93 (define @t345 () (lambda @t52 (forall @t6 (or @t152 @t284)))) % 160.64/160.93 (define @t346 () (_ @t345 @t13)) % 160.64/160.93 (define @t347 () (not @t346)) % 160.64/160.93 (define @t348 () (or @t347 @t296)) % 160.64/160.93 (define @t349 () (lambda @t297 @t348)) % 160.64/160.93 (define @t350 () (or @t334 @t296)) % 160.64/160.93 (define @t351 () (lambda @t57 @t350)) % 160.64/160.93 (define @t352 () (_ @t16 @t1)) % 160.64/160.93 (define @t353 () (or @t152 @t352)) % 160.64/160.93 (define @t354 () (_ @t16 @t1)) % 160.64/160.93 (define @t355 () (or @t152 @t354)) % 160.64/160.93 (define @t356 () (forall @t6 @t355)) % 160.64/160.93 (define @t357 () (lambda @t52 @t356)) % 160.64/160.93 (define @t358 () (_ @t191 @t16)) % 160.64/160.93 (define @t359 () (_ @t313 @t344)) % 160.64/160.93 (define @t360 () (_ @t191 (_ (_ @t351 @t358) @t359))) % 160.64/160.93 (define @t361 () (lambda @t27 (_ @t360 @t13))) % 160.64/160.93 (define @t362 () (lambda @t29 (_ (_ @t191 (_ @t220 @t361)) @t13))) % 160.64/160.93 (define @t363 () (not @t43)) % 160.64/160.93 (define @t364 () (or @t39 @t363)) % 160.64/160.93 (define @t365 () (lambda @t52 @t364)) % 160.64/160.93 (define @t366 () (_ @t365 @t7)) % 160.64/160.93 (define @t367 () (not @t366)) % 160.64/160.93 (define @t368 () (lambda @t52 @t367)) % 160.64/160.93 (define @t369 () (lambda @t52 @t363)) % 160.64/160.93 (define @t370 () (_ @t369 @t7)) % 160.64/160.93 (define @t371 () (or @t39 @t370)) % 160.64/160.93 (define @t372 () (lambda @t52 @t371)) % 160.64/160.93 (define @t373 () (or @t39 @t43)) % 160.64/160.93 (define @t374 () (@list @t42 @t7)) % 160.64/160.93 (define @t375 () (lambda @t374 @t373)) % 160.64/160.93 (define @t376 () (lambda @t52 @t39)) % 160.64/160.93 (define @t377 () (_ @t376 @t7)) % 160.64/160.93 (define @t378 () (or @t377 @t43)) % 160.64/160.93 (define @t379 () (lambda @t374 @t378)) % 160.64/160.93 (define @t380 () (forall @t5 (or @t183 (not @t219)))) % 160.64/160.93 (define @t381 () (lambda @t52 @t380)) % 160.64/160.93 (define @t382 () (_ @t381 @t7)) % 160.64/160.93 (define @t383 () (not @t382)) % 160.64/160.93 (define @t384 () (lambda @t52 @t383)) % 160.64/160.93 (define @t385 () (not @t66)) % 160.64/160.93 (define @t386 () (or @t183 @t385)) % 160.64/160.93 (define @t387 () (not (_ @t65 @t13))) % 160.64/160.93 (define @t388 () (lambda @t70 @t387)) % 160.64/160.93 (define @t389 () (_ @t388 @t2 @t7)) % 160.64/160.93 (define @t390 () (or @t183 @t389)) % 160.64/160.93 (define @t391 () (forall @t5 @t390)) % 160.64/160.93 (define @t392 () (lambda @t52 @t391)) % 160.64/160.93 (define @t393 () (lambda @t52 @t385)) % 160.64/160.93 (define @t394 () (_ @t41 @t65)) % 160.64/160.93 (define @t395 () (not @t8)) % 160.64/160.93 (define @t396 () (or @t395 @t66)) % 160.64/160.93 (define @t397 () (lambda @t52 @t373)) % 160.64/160.93 (define @t398 () (@quantifiers_skolemize @t144 4)) % 160.64/160.93 (define @t399 () (@quantifiers_skolemize @t144 5)) % 160.64/160.93 (define @t400 () (_ @t128 @t127 @t399)) % 160.64/160.93 (define @t401 () (not (_ @t125 @t400 @t118))) % 160.64/160.93 (define @t402 () (@quantifiers_skolemize @t144 2)) % 160.64/160.93 (define @t403 () (not (_ @t125 @t400 @t131))) % 160.64/160.93 (define @t404 () (forall @t136 (or (not (_ @t125 @t135 @t399)) (not (forall @t133 (or @t403 (_ @t125 (_ @t124 @t123 @t402) @t131)))) (not (forall @t130 (or @t401 (_ @t125 (_ @t124 @t123 @t398) @t118))))))) % 160.64/160.93 (define @t405 () (not @t404)) % 160.64/160.93 (define @t406 () (_ @t124 (_ @t122 @t138 @t402) @t398)) % 160.64/160.93 (define @t407 () (forall @t139 (or (not (_ @t125 @t400 @t137)) (_ @t125 @t406 @t137)))) % 160.64/160.93 (define @t408 () (not @t407)) % 160.64/160.93 (define @t409 () (@quantifiers_skolemize @t144 3)) % 160.64/160.93 (define @t410 () (_ @t128 @t127 @t409)) % 160.64/160.93 (define @t411 () (_ @t125 @t410 @t399)) % 160.64/160.93 (define @t412 () (not @t411)) % 160.64/160.93 (define @t413 () (_ @t124 @t134 @t398)) % 160.64/160.93 (define @t414 () (_ @t125 @t413 @t409)) % 160.64/160.93 (define @t415 () (not @t414)) % 160.64/160.93 (define @t416 () (@quantifiers_skolemize @t144 1)) % 160.64/160.93 (define @t417 () (_ @t128 @t127 @t416)) % 160.64/160.93 (define @t418 () (_ @t125 @t417 @t409)) % 160.64/160.93 (define @t419 () (not @t418)) % 160.64/160.93 (define @t420 () (_ @t124 @t134 @t402)) % 160.64/160.93 (define @t421 () (_ @t125 @t420 @t416)) % 160.64/160.93 (define @t422 () (not @t421)) % 160.64/160.93 (define @t423 () (or (not (_ @t125 (_ @t128 @t127 (@quantifiers_skolemize @t144 0)) @t416)) @t422 @t419 @t415 @t412 @t408 @t405)) % 160.64/160.93 (define @t424 () (@list true)) % 160.64/160.93 (define @t425 () (@list @t423)) % 160.64/160.93 (define @t426 () (@var "BOUND_VARIABLE_38664" $$unsorted)) % 160.64/160.93 (define @t427 () (@var "BOUND_VARIABLE_38663" tptp.mu)) % 160.64/160.93 (define @t428 () (_ @t122 @t121 @t427)) % 160.64/160.93 (define @t429 () (@var "BOUND_VARIABLE_38665" $$unsorted)) % 160.64/160.93 (define @t430 () (@list @t427 @t426 @t429)) % 160.64/160.93 (define @t431 () (@var "BOUND_VARIABLE_8811" tptp.mu)) % 160.64/160.93 (define @t432 () (_ @t122 @t121 @t431)) % 160.64/160.93 (define @t433 () (_ @t124 @t432 @t402)) % 160.64/160.93 (define @t434 () (_ @t125 @t433 @t131)) % 160.64/160.93 (define @t435 () (_ @t124 @t134 @t431)) % 160.64/160.93 (define @t436 () (@list @t431)) % 160.64/160.93 (define @t437 () (forall @t436 (or (not (_ @t125 @t435 @t399)) (not (forall @t133 (or @t403 @t434))) (not (forall @t130 (or @t401 (_ @t125 (_ @t124 @t432 @t398) @t118))))))) % 160.64/160.93 (define @t438 () (_ @t128 @t127 @t75)) % 160.64/160.93 (define @t439 () (forall @t78 (tptp.rel_s4 @t75 @t75))) % 160.64/160.93 (define @t440 () (_ @t46 @t75 @t75)) % 160.64/160.93 (define @t441 () (not @t437)) % 160.64/160.93 (define @t442 () (_ @t125 @t400 @t399)) % 160.64/160.93 (define @t443 () (not @t442)) % 160.64/160.93 (define @t444 () (or @t443 @t408 @t441)) % 160.64/160.93 (define @t445 () (not @t444)) % 160.64/160.93 (define @t446 () (@list false false false)) % 160.64/160.93 (define @t447 () (@var "BOUND_VARIABLE_9125" $$unsorted)) % 160.64/160.93 (define @t448 () (@var "BOUND_VARIABLE_9117" tptp.mu)) % 160.64/160.93 (define @t449 () (@var "BOUND_VARIABLE_9113" tptp.mu)) % 160.64/160.93 (define @t450 () (_ @t124 (_ @t122 @t138 @t449) @t448)) % 160.64/160.93 (define @t451 () (@var "BOUND_VARIABLE_9121" $$unsorted)) % 160.64/160.93 (define @t452 () (_ @t128 @t127 @t451)) % 160.64/160.93 (define @t453 () (@var "BOUND_VARIABLE_8723" $$unsorted)) % 160.64/160.93 (define @t454 () (@var "BOUND_VARIABLE_9123" tptp.mu)) % 160.64/160.93 (define @t455 () (_ @t122 @t121 @t454)) % 160.64/160.93 (define @t456 () (@list @t453)) % 160.64/160.93 (define @t457 () (@var "BOUND_VARIABLE_8732" $$unsorted)) % 160.64/160.93 (define @t458 () (@list @t457)) % 160.64/160.93 (define @t459 () (@var "BOUND_VARIABLE_9115" $$unsorted)) % 160.64/160.93 (define @t460 () (_ @t128 @t127 @t459)) % 160.64/160.93 (define @t461 () (@var "BOUND_VARIABLE_9119" $$unsorted)) % 160.64/160.93 (define @t462 () (_ @t128 @t127 @t461)) % 160.64/160.93 (define @t463 () (@list @t7 @t1 @t449 @t459 @t448 @t461 @t451 @t454 @t447)) % 160.64/160.93 (define @t464 () (and (or (not (tptp.rel_s4 @t459 @t461)) (not (forall @t139 (or (not (tptp.rel_s4 @t461 @t137)) (tptp.intersect @t449 @t448 @t137)))) (not (forall @t436 (or (not (tptp.exists_in_world @t431 @t461)) (not (forall @t133 (or (not (tptp.rel_s4 @t461 @t131)) (tptp.member @t431 @t449 @t131)))) (not (forall @t130 (or (not (tptp.rel_s4 @t461 @t118)) (tptp.member @t431 @t448 @t118)))))))) (or (not (tptp.rel_s4 @t459 @t451)) (not (tptp.exists_in_world @t454 @t451)) (not (forall @t458 (or (not (tptp.rel_s4 @t451 @t457)) (tptp.member @t454 @t449 @t457)))) (not (forall @t456 (or (not (tptp.rel_s4 @t451 @t453)) (tptp.member @t454 @t448 @t453)))) (not (tptp.rel_s4 @t451 @t447)) (tptp.intersect @t449 @t448 @t447)))) % 160.64/160.93 (define @t465 () (not (tptp.exists_in_world @t448 @t459))) % 160.64/160.93 (define @t466 () (not (tptp.rel_s4 @t1 @t459))) % 160.64/160.93 (define @t467 () (not (tptp.exists_in_world @t449 @t1))) % 160.64/160.93 (define @t468 () (or @t152 @t467 @t466 @t465 @t464)) % 160.64/160.93 (define @t469 () (forall @t463 @t468)) % 160.64/160.93 (define @t470 () (@list @t1 @t449 @t459 @t448 @t461 @t451 @t454 @t447)) % 160.64/160.93 (define @t471 () (forall @t470 @t468)) % 160.64/160.93 (define @t472 () (lambda @t52 @t471)) % 160.64/160.93 (define @t473 () (_ @t472 @t7)) % 160.64/160.93 (define @t474 () (forall @t52 @t473)) % 160.64/160.93 (define @t475 () (or @t467 @t466 @t465 @t464)) % 160.64/160.93 (define @t476 () (or @t152 @t475)) % 160.64/160.93 (define @t477 () (forall @t470 @t476)) % 160.64/160.93 (define @t478 () (@list @t449 @t459 @t448 @t461 @t451 @t454 @t447)) % 160.64/160.93 (define @t479 () (forall @t478 @t476)) % 160.64/160.93 (define @t480 () (forall @t478 @t475)) % 160.64/160.93 (define @t481 () (@var "BOUND_VARIABLE_9043" $$unsorted)) % 160.64/160.93 (define @t482 () (@var "BOUND_VARIABLE_9041" tptp.mu)) % 160.64/160.93 (define @t483 () (@var "BOUND_VARIABLE_9039" $$unsorted)) % 160.64/160.93 (define @t484 () (@var "BOUND_VARIABLE_9037" $$unsorted)) % 160.64/160.93 (define @t485 () (@var "BOUND_VARIABLE_9035" tptp.mu)) % 160.64/160.93 (define @t486 () (@var "BOUND_VARIABLE_9033" $$unsorted)) % 160.64/160.93 (define @t487 () (or @t152 @t480)) % 160.64/160.93 (define @t488 () (tptp.member @t431 @t2 @t131)) % 160.64/160.93 (define @t489 () (and (or (not (tptp.rel_s4 @t486 @t484)) (not (forall @t139 (or (not (tptp.rel_s4 @t484 @t137)) (tptp.intersect @t2 @t485 @t137)))) (not (forall @t436 (or (not (tptp.exists_in_world @t431 @t484)) (not (forall @t133 (or (not (tptp.rel_s4 @t484 @t131)) @t488))) (not (forall @t130 (or (not (tptp.rel_s4 @t484 @t118)) (tptp.member @t431 @t485 @t118)))))))) (or (not (tptp.rel_s4 @t486 @t483)) (not (tptp.exists_in_world @t482 @t483)) (not (forall @t458 (or (not (tptp.rel_s4 @t483 @t457)) (tptp.member @t482 @t2 @t457)))) (not (forall @t456 (or (not (tptp.rel_s4 @t483 @t453)) (tptp.member @t482 @t485 @t453)))) (not (tptp.rel_s4 @t483 @t481)) (tptp.intersect @t2 @t485 @t481)))) % 160.64/160.93 (define @t490 () (not (tptp.exists_in_world @t485 @t486))) % 160.64/160.93 (define @t491 () (@list @t2 @t486 @t485 @t484 @t483 @t482 @t481)) % 160.64/160.93 (define @t492 () (forall @t491 (or @t178 (not (tptp.rel_s4 @t1 @t486)) @t490 @t489))) % 160.64/160.93 (define @t493 () (not (tptp.rel_s4 @t7 @t486))) % 160.64/160.93 (define @t494 () (or @t183 @t493 @t490 @t489)) % 160.64/160.93 (define @t495 () (lambda @t52 (forall @t491 @t494))) % 160.64/160.93 (define @t496 () (_ @t495 @t1)) % 160.64/160.93 (define @t497 () (or @t152 @t496)) % 160.64/160.93 (define @t498 () (forall @t6 @t497)) % 160.64/160.93 (define @t499 () (lambda @t52 @t498)) % 160.64/160.93 (define @t500 () (or @t493 @t490 @t489)) % 160.64/160.93 (define @t501 () (or @t183 @t500)) % 160.64/160.93 (define @t502 () (forall @t491 @t501)) % 160.64/160.93 (define @t503 () (@list @t486 @t485 @t484 @t483 @t482 @t481)) % 160.64/160.93 (define @t504 () (forall @t503 @t501)) % 160.64/160.93 (define @t505 () (forall @t503 @t500)) % 160.64/160.93 (define @t506 () (@var "BOUND_VARIABLE_8943" $$unsorted)) % 160.64/160.93 (define @t507 () (@var "BOUND_VARIABLE_8941" tptp.mu)) % 160.64/160.93 (define @t508 () (@var "BOUND_VARIABLE_8939" $$unsorted)) % 160.64/160.93 (define @t509 () (@var "BOUND_VARIABLE_8937" $$unsorted)) % 160.64/160.93 (define @t510 () (@var "BOUND_VARIABLE_8935" tptp.mu)) % 160.64/160.93 (define @t511 () (or @t183 @t505)) % 160.64/160.93 (define @t512 () (not (tptp.rel_s4 @t508 @t506))) % 160.64/160.93 (define @t513 () (not (forall @t456 (or (not (tptp.rel_s4 @t508 @t453)) (tptp.member @t507 @t510 @t453))))) % 160.64/160.93 (define @t514 () (not (tptp.rel_s4 @t508 @t457))) % 160.64/160.93 (define @t515 () (not (tptp.exists_in_world @t507 @t508))) % 160.64/160.93 (define @t516 () (not (tptp.rel_s4 @t1 @t508))) % 160.64/160.93 (define @t517 () (not (forall @t130 (or (not (tptp.rel_s4 @t509 @t118)) (tptp.member @t431 @t510 @t118))))) % 160.64/160.93 (define @t518 () (not (tptp.rel_s4 @t509 @t131))) % 160.64/160.93 (define @t519 () (not (tptp.exists_in_world @t431 @t509))) % 160.64/160.93 (define @t520 () (not (tptp.rel_s4 @t509 @t137))) % 160.64/160.93 (define @t521 () (not (tptp.rel_s4 @t1 @t509))) % 160.64/160.93 (define @t522 () (not (tptp.exists_in_world @t510 @t1))) % 160.64/160.93 (define @t523 () (@list @t1 @t510 @t509 @t508 @t507 @t506)) % 160.64/160.93 (define @t524 () (forall @t523 (or @t152 @t522 (and (or @t521 (not (forall @t139 (or @t520 (tptp.intersect @t2 @t510 @t137)))) (not (forall @t436 (or @t519 (not (forall @t133 (or @t518 @t488))) @t517)))) (or @t516 @t515 (not (forall @t458 (or @t514 (tptp.member @t507 @t2 @t457)))) @t513 @t512 (tptp.intersect @t2 @t510 @t506)))))) % 160.64/160.93 (define @t525 () (tptp.member @t431 @t15 @t131)) % 160.64/160.93 (define @t526 () (and (or @t521 (not (forall @t139 (or @t520 (tptp.intersect @t15 @t510 @t137)))) (not (forall @t436 (or @t519 (not (forall @t133 (or @t518 @t525))) @t517)))) (or @t516 @t515 (not (forall @t458 (or @t514 (tptp.member @t507 @t15 @t457)))) @t513 @t512 (tptp.intersect @t15 @t510 @t506)))) % 160.64/160.93 (define @t527 () (forall @t523 (or @t212 @t522 @t526))) % 160.64/160.93 (define @t528 () (lambda @t29 @t527)) % 160.64/160.93 (define @t529 () (_ @t528 @t2 @t7)) % 160.64/160.93 (define @t530 () (or @t183 @t529)) % 160.64/160.93 (define @t531 () (forall @t5 @t530)) % 160.64/160.93 (define @t532 () (lambda @t52 @t531)) % 160.64/160.93 (define @t533 () (or @t152 @t522 @t526)) % 160.64/160.93 (define @t534 () (or @t522 @t526)) % 160.64/160.93 (define @t535 () (or @t152 @t534)) % 160.64/160.93 (define @t536 () (forall @t523 @t535)) % 160.64/160.93 (define @t537 () (@list @t510 @t509 @t508 @t507 @t506)) % 160.64/160.93 (define @t538 () (forall @t537 @t535)) % 160.64/160.93 (define @t539 () (forall @t537 @t534)) % 160.64/160.93 (define @t540 () (@var "BOUND_VARIABLE_8892" $$unsorted)) % 160.64/160.93 (define @t541 () (@var "BOUND_VARIABLE_8890" tptp.mu)) % 160.64/160.93 (define @t542 () (@var "BOUND_VARIABLE_8888" $$unsorted)) % 160.64/160.93 (define @t543 () (@var "BOUND_VARIABLE_8863" $$unsorted)) % 160.64/160.93 (define @t544 () (or @t152 @t539)) % 160.64/160.93 (define @t545 () (tptp.intersect @t15 @t2 @t540)) % 160.64/160.93 (define @t546 () (not (tptp.rel_s4 @t542 @t540))) % 160.64/160.93 (define @t547 () (not (forall @t456 (or (not (tptp.rel_s4 @t542 @t453)) (tptp.member @t541 @t2 @t453))))) % 160.64/160.93 (define @t548 () (not (forall @t458 (or (not (tptp.rel_s4 @t542 @t457)) (tptp.member @t541 @t15 @t457))))) % 160.64/160.93 (define @t549 () (not (tptp.exists_in_world @t541 @t542))) % 160.64/160.93 (define @t550 () (tptp.member @t431 @t2 @t118)) % 160.64/160.93 (define @t551 () (not (forall @t436 (or (not (tptp.exists_in_world @t431 @t543)) (not (forall @t133 (or (not (tptp.rel_s4 @t543 @t131)) @t525))) (not (forall @t130 (or (not (tptp.rel_s4 @t543 @t118)) @t550))))))) % 160.64/160.93 (define @t552 () (not (forall @t139 (or (not (tptp.rel_s4 @t543 @t137)) @t232)))) % 160.64/160.93 (define @t553 () (@list @t2 @t543 @t542 @t541 @t540)) % 160.64/160.93 (define @t554 () (forall @t553 (or @t178 (and (or (not (tptp.rel_s4 @t1 @t543)) @t552 @t551) (or (not (tptp.rel_s4 @t1 @t542)) @t549 @t548 @t547 @t546 @t545))))) % 160.64/160.93 (define @t555 () (or (not (tptp.rel_s4 @t7 @t542)) @t549 @t548 @t547 @t546 @t545)) % 160.64/160.93 (define @t556 () (or (not (tptp.rel_s4 @t7 @t543)) @t552 @t551)) % 160.64/160.93 (define @t557 () (and @t556 @t555)) % 160.64/160.93 (define @t558 () (or @t183 @t557)) % 160.64/160.93 (define @t559 () (forall @t553 @t558)) % 160.64/160.93 (define @t560 () (lambda @t52 @t559)) % 160.64/160.93 (define @t561 () (_ @t560 @t1)) % 160.64/160.93 (define @t562 () (or @t152 @t561)) % 160.64/160.93 (define @t563 () (forall @t6 @t562)) % 160.64/160.93 (define @t564 () (lambda @t52 @t563)) % 160.64/160.93 (define @t565 () (@list @t543 @t542 @t541 @t540)) % 160.64/160.93 (define @t566 () (forall @t565 @t558)) % 160.64/160.93 (define @t567 () (forall (@list @t542 @t541 @t540) @t555)) % 160.64/160.93 (define @t568 () (@var "BOUND_VARIABLE_8779" $$unsorted)) % 160.64/160.93 (define @t569 () (@var "BOUND_VARIABLE_8766" tptp.mu)) % 160.64/160.93 (define @t570 () (forall @t565 @t555)) % 160.64/160.93 (define @t571 () (forall (@list @t543) @t556)) % 160.64/160.93 (define @t572 () (forall @t565 @t556)) % 160.64/160.93 (define @t573 () (and @t572 @t570)) % 160.64/160.93 (define @t574 () (forall @t565 @t557)) % 160.64/160.93 (define @t575 () (or @t183 @t574)) % 160.64/160.93 (define @t576 () (not (tptp.rel_s4 @t1 @t568))) % 160.64/160.93 (define @t577 () (not (tptp.rel_s4 @t1 @t453))) % 160.64/160.93 (define @t578 () (not (tptp.rel_s4 @t1 @t457))) % 160.64/160.93 (define @t579 () (not (forall @t458 (or @t578 (tptp.member @t569 @t15 @t457))))) % 160.64/160.93 (define @t580 () (not (tptp.exists_in_world @t569 @t1))) % 160.64/160.93 (define @t581 () (@list @t1 @t569 @t568)) % 160.64/160.93 (define @t582 () (forall @t581 (or @t152 @t580 @t579 (not (forall @t456 (or @t577 (tptp.member @t569 @t2 @t453)))) @t576 (tptp.intersect @t15 @t2 @t568)))) % 160.64/160.93 (define @t583 () (not (forall @t133 (or @t252 @t525)))) % 160.64/160.93 (define @t584 () (not (tptp.exists_in_world @t431 @t1))) % 160.64/160.93 (define @t585 () (forall @t6 (or @t152 @t256 (not (forall @t436 (or @t584 @t583 (not (forall @t130 (or @t251 @t550))))))))) % 160.64/160.93 (define @t586 () (not @t582)) % 160.64/160.93 (define @t587 () (not @t585)) % 160.64/160.93 (define @t588 () (not (or @t587 @t586))) % 160.64/160.93 (define @t589 () (or @t183 @t588)) % 160.64/160.93 (define @t590 () (tptp.intersect @t15 @t14 @t568)) % 160.64/160.93 (define @t591 () (not (forall @t456 (or @t577 (tptp.member @t569 @t14 @t453))))) % 160.64/160.93 (define @t592 () (forall @t581 (or @t212 @t580 @t579 @t591 @t576 @t590))) % 160.64/160.93 (define @t593 () (not @t592)) % 160.64/160.93 (define @t594 () (not @t266)) % 160.64/160.93 (define @t595 () (or @t594 @t593)) % 160.64/160.93 (define @t596 () (not @t595)) % 160.64/160.93 (define @t597 () (lambda @t27 @t596)) % 160.64/160.93 (define @t598 () (or @t183 (_ @t597 @t2 @t7))) % 160.64/160.93 (define @t599 () (forall @t5 @t598)) % 160.64/160.93 (define @t600 () (lambda @t52 @t599)) % 160.64/160.93 (define @t601 () (or @t152 @t580 @t579 @t591 @t576 @t590)) % 160.64/160.93 (define @t602 () (lambda @t52 (forall @t581 @t601))) % 160.64/160.93 (define @t603 () (_ @t602 @t13)) % 160.64/160.93 (define @t604 () (not @t603)) % 160.64/160.93 (define @t605 () (or @t594 @t604)) % 160.64/160.93 (define @t606 () (not @t605)) % 160.64/160.93 (define @t607 () (lambda @t276 @t606)) % 160.64/160.93 (define @t608 () (or @t576 @t590)) % 160.64/160.93 (define @t609 () (or @t580 @t579 @t591)) % 160.64/160.93 (define @t610 () (or @t152 @t609 @t608)) % 160.64/160.93 (define @t611 () (forall @t581 @t610)) % 160.64/160.93 (define @t612 () (forall (@list @t569 @t568) @t610)) % 160.64/160.93 (define @t613 () (forall (@list @t568) @t608)) % 160.64/160.93 (define @t614 () (@var "BOUND_VARIABLE_8715" $$unsorted)) % 160.64/160.93 (define @t615 () (@list @t614)) % 160.64/160.93 (define @t616 () (forall (@list @t569) @t609)) % 160.64/160.93 (define @t617 () (or @t152 @t616 @t613)) % 160.64/160.93 (define @t618 () (tptp.intersect @t15 @t14 @t614)) % 160.64/160.93 (define @t619 () (@list @t614)) % 160.64/160.93 (define @t620 () (forall @t619 (or (not (tptp.rel_s4 @t1 @t614)) @t618))) % 160.64/160.93 (define @t621 () (tptp.member @t2 @t14 @t453)) % 160.64/160.93 (define @t622 () (tptp.member @t2 @t15 @t457)) % 160.64/160.93 (define @t623 () (forall @t5 (or @t178 (not (forall @t458 (or @t578 @t622))) (not (forall @t456 (or @t577 @t621)))))) % 160.64/160.93 (define @t624 () (or @t152 @t623 @t620)) % 160.64/160.93 (define @t625 () (or @t623 @t620)) % 160.64/160.93 (define @t626 () (or @t282 @t285)) % 160.64/160.93 (define @t627 () (lambda @t276 @t626)) % 160.64/160.93 (define @t628 () (or @t152 (_ @t627 @t1))) % 160.64/160.93 (define @t629 () (forall @t6 @t628)) % 160.64/160.93 (define @t630 () (lambda @t52 @t629)) % 160.64/160.93 (define @t631 () (or @t282 @t346)) % 160.64/160.93 (define @t632 () (lambda @t276 @t631)) % 160.64/160.93 (define @t633 () (not @t293)) % 160.64/160.93 (define @t634 () (or @t633 @t296)) % 160.64/160.93 (define @t635 () (lambda @t297 @t634)) % 160.64/160.93 (define @t636 () (not @t273)) % 160.64/160.93 (define @t637 () (or @t636 @t320)) % 160.64/160.93 (define @t638 () (not @t637)) % 160.64/160.93 (define @t639 () (lambda @t297 @t638)) % 160.64/160.93 (define @t640 () (lambda @t27 (_ (_ (_ @t336 @t360) (_ @t191 (_ (_ @t351 @t359) @t358))) @t13))) % 160.64/160.93 (define @t641 () (@quantifiers_skolemize (forall @t436 (or (not (_ @t125 @t435 @t409)) (not (forall @t133 (or (not (_ @t125 @t410 @t131)) @t434))) (not (forall @t130 (or (not (_ @t125 @t410 @t118)) (_ @t125 @t433 @t118)))))) 0)) % 160.64/160.93 (define @t642 () (_ @t124 @t134 @t2)) % 160.64/160.93 (define @t643 () (tptp.rel_s4 @t1 @t7)) % 160.64/160.93 (define @t644 () (not @t9)) % 160.64/160.93 (define @t645 () (not @t4)) % 160.64/160.93 (define @t646 () (or @t645 @t644 @t8)) % 160.64/160.93 (define @t647 () (_ @t125 @t413 @t399)) % 160.64/160.93 (define @t648 () (or @t415 @t412 @t647)) % 160.64/160.93 (define @t649 () (forall @t92 (or (not (tptp.rel_s4 @t75 @t82)) (not (tptp.rel_s4 @t82 @t88)) (tptp.rel_s4 @t75 @t88)))) % 160.64/160.93 (define @t650 () (_ @t46 @t75 @t88)) % 160.64/160.93 (define @t651 () (_ @t46 @t82 @t88)) % 160.64/160.93 (define @t652 () (_ @t46 @t75 @t82)) % 160.64/160.93 (define @t653 () (not @t90)) % 160.64/160.93 (define @t654 () (not @t84)) % 160.64/160.93 (define @t655 () (or @t654 @t653 @t89)) % 160.64/160.93 (define @t656 () (_ @t125 @t417 @t399)) % 160.64/160.93 (define @t657 () (or @t419 @t412 @t656)) % 160.64/160.93 (define @t658 () (_ @t125 @t420 @t399)) % 160.64/160.93 (define @t659 () (not @t656)) % 160.64/160.93 (define @t660 () (or @t422 @t659 @t658)) % 160.64/160.93 (define @t661 () (_ @t122 @t121 @t641)) % 160.64/160.93 (define @t662 () (and @t444 (or (not (_ @t125 @t400 @t409)) (not (_ @t125 (_ @t124 @t134 @t641) @t409)) (not (forall @t458 (or (not (_ @t125 @t410 @t457)) (_ @t125 (_ @t124 @t661 @t402) @t457)))) (not (forall @t456 (or (not (_ @t125 @t410 @t453)) (_ @t125 (_ @t124 @t661 @t398) @t453)))) @t412 (_ @t125 @t406 @t399)))) % 160.64/160.93 (define @t663 () (not @t647)) % 160.64/160.93 (define @t664 () (not @t658)) % 160.64/160.93 (define @t665 () (or @t412 @t664 @t443 @t663 @t662)) % 160.64/160.93 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 160.64/160.93 (assume @p2 (forall @t6 (exists @t5 @t4))) % 160.64/160.93 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 160.64/160.93 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 160.64/160.93 (assume @p5 @t12) % 160.64/160.93 (assume @p6 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind @t30)))) % 160.64/160.93 (assume @p7 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t29 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t27 (_ (_ tptp.mbox_s4 (_ @t25 (_ tptp.mbox_s4 (_ (_ tptp.intersect @t14) @t15)))) @t13)))) @t13)))))) % 160.64/160.93 (assume @p8 @t33) % 160.64/160.93 (assume @p9 true) % 160.64/160.93 (step @p10 (= tptp.meq_prop @t36) :rule refl :args (@t36)) % 160.64/160.93 (step @p11 (= tptp.mnot @t41) :rule refl :args (@t41)) % 160.64/160.93 (step @p12 (= tptp.mor @t44) :rule refl :args (@t44)) % 160.64/160.93 (step @p13 (= tptp.mbox @t47) :rule refl :args (@t47)) % 160.64/160.93 (step @p14 (= tptp.mforall_prop @t51) :rule refl :args (@t51)) % 160.64/160.93 (step @p15 (= tptp.mtrue @t53) :rule refl :args (@t53)) % 160.64/160.93 (step @p16 (= tptp.mand @t58) :rule refl :args (@t58)) % 160.64/160.93 (step @p17 (= tptp.mimplies @t59) :rule refl :args (@t59)) % 160.64/160.93 (step @p18 (= tptp.mimplied @t60) :rule refl :args (@t60)) % 160.64/160.93 (step @p19 (= tptp.mequiv @t61) :rule refl :args (@t61)) % 160.64/160.93 (step @p20 (= tptp.mxor @t62) :rule refl :args (@t62)) % 160.64/160.93 (step @p21 (= tptp.mdia @t63) :rule refl :args (@t63)) % 160.64/160.93 (step @p22 (= tptp.mforall_ind @t69) :rule refl :args (@t69)) % 160.64/160.93 (step @p23 (= tptp.mexists_ind @t73) :rule refl :args (@t73)) % 160.64/160.93 (step @p24 (= tptp.mexists_prop @t74) :rule refl :args (@t74)) % 160.64/160.93 (step @p25 (= tptp.mreflexive @t81) :rule refl :args (@t81)) % 160.64/160.93 (step @p26 (= tptp.msymmetric @t85) :rule refl :args (@t85)) % 160.64/160.93 (step @p27 (= tptp.mserial @t87) :rule refl :args (@t87)) % 160.64/160.93 (step @p28 (= tptp.mtransitive @t94) :rule refl :args (@t94)) % 160.64/160.93 (step @p29 (= tptp.meuclidean @t96) :rule refl :args (@t96)) % 160.64/160.93 (step @p30 (= tptp.mpartially_functional @t98) :rule refl :args (@t98)) % 160.64/160.93 (step @p31 (= tptp.mfunctional @t100) :rule refl :args (@t100)) % 160.64/160.93 (step @p32 (= tptp.mweakly_dense @t103) :rule refl :args (@t103)) % 160.64/160.93 (step @p33 (= tptp.mweakly_connected @t104) :rule refl :args (@t104)) % 160.64/160.93 (step @p34 (= tptp.mweakly_directed @t105) :rule refl :args (@t105)) % 160.64/160.93 (step @p35 (= tptp.mvalid @t108) :rule refl :args (@t108)) % 160.64/160.93 (step @p36 (= tptp.msatisfiable @t109) :rule refl :args (@t109)) % 160.64/160.93 (step @p37 (= tptp.mcountersatisfiable @t110) :rule refl :args (@t110)) % 160.64/160.93 (step @p38 (= tptp.minvalid @t111) :rule refl :args (@t111)) % 160.64/160.93 (step @p39 (= tptp.mbox_s4 @t116) :rule refl :args (@t116)) % 160.64/160.93 (step @p40 (= tptp.mdia_s4 @t117) :rule refl :args (@t117)) % 160.64/160.93 ; WARNING: add trust step for TRUST % 160.64/160.93 ; trust TRUST PREPROCESS_HO_ELIM % 160.64/160.93 (step @p41 :rule trust :premises () :args ((= (not @t154) (not @t144)))) % 160.64/160.93 (step @p42 :rule quant-merge-prenex :args ((= (forall @t52 @t156) @t154))) % 160.64/160.93 (step @p43 :rule beta-reduce :args ((= @t158 @t156))) % 160.64/160.93 (step @p44 :rule cong :premises (@p43) :args (@t159)) % 160.64/160.93 (step @p45 :rule trans :premises (@p44 @p42)) % 160.64/160.93 (step @p46 :rule beta-reduce :args ((= (_ @t161 @t157) @t159))) % 160.64/160.93 (step @p47 :rule trans :premises (@p46 @p45)) % 160.64/160.93 (step @p48 :rule aci_norm :args ((= @t163 @t153))) % 160.64/160.93 (step @p49 :rule cong :premises (@p48) :args (@t164)) % 160.64/160.93 (step @p50 :rule quant-merge-prenex :args ((= (forall @t6 @t166) @t164))) % 160.64/160.93 (step @p51 :rule alpha_equiv :args (@t167 (@list @t132 @t140 @t119 @t126) (@list @t2 @t170 @t169 @t168))) % 160.64/160.93 (step @p52 :rule refl :args (@t152)) % 160.64/160.93 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t171)) % 160.64/160.93 (step @p54 :rule quant-miniscope-or :args ((= @t166 @t171))) % 160.64/160.93 (step @p55 :rule trans :premises (@p54 @p53)) % 160.64/160.93 (step @p56 :rule symm :premises (@p55)) % 160.64/160.93 (step @p57 :rule cong :premises (@p56) :args ((forall @t6 (or @t152 @t180)))) % 160.64/160.93 (step @p58 :rule trans :premises (@p57 @p50)) % 160.64/160.93 (step @p59 :rule trans :premises (@p58 @p49)) % 160.64/160.93 (step @p60 :rule beta-reduce :args ((= @t186 @t180))) % 160.64/160.93 (step @p61 :rule refl :args (@t152)) % 160.64/160.93 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t187)) % 160.64/160.93 (step @p63 :rule cong :premises (@p62) :args (@t188)) % 160.64/160.93 (step @p64 :rule trans :premises (@p63 @p59)) % 160.64/160.93 (step @p65 :rule cong :premises (@p64) :args (@t189)) % 160.64/160.93 (step @p66 :rule beta-reduce :args ((= (_ @t191 @t185) @t189))) % 160.64/160.93 (step @p67 :rule trans :premises (@p66 @p65)) % 160.64/160.93 (step @p68 :rule aci_norm :args ((= @t193 @t184))) % 160.64/160.93 (step @p69 :rule cong :premises (@p68) :args (@t194)) % 160.64/160.93 (step @p70 :rule quant-merge-prenex :args ((= (forall @t5 @t196) @t194))) % 160.64/160.93 (step @p71 :rule alpha_equiv :args (@t197 (@list @t170 @t169 @t168) (@list @t1 @t199 @t198))) % 160.64/160.93 (step @p72 :rule refl :args (@t183)) % 160.64/160.93 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t200)) % 160.64/160.93 (step @p74 :rule quant-miniscope-or :args ((= @t196 @t200))) % 160.64/160.93 (step @p75 :rule trans :premises (@p74 @p73)) % 160.64/160.93 (step @p76 :rule symm :premises (@p75)) % 160.64/160.93 (step @p77 :rule cong :premises (@p76) :args ((forall @t5 (or @t183 @t208)))) % 160.64/160.93 (step @p78 :rule trans :premises (@p77 @p70)) % 160.64/160.93 (step @p79 :rule trans :premises (@p78 @p69)) % 160.64/160.93 (step @p80 :rule beta-reduce :args ((= @t215 @t208))) % 160.64/160.93 (step @p81 :rule refl :args (@t183)) % 160.64/160.93 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t216)) % 160.64/160.93 (step @p83 :rule cong :premises (@p82) :args (@t217)) % 160.64/160.93 (step @p84 :rule trans :premises (@p83 @p79)) % 160.64/160.93 (step @p85 :rule cong :premises (@p84) :args (@t218)) % 160.64/160.93 (step @p86 :rule beta-reduce :args ((= (_ @t220 @t214) @t218))) % 160.64/160.93 (step @p87 :rule trans :premises (@p86 @p85)) % 160.64/160.93 (step @p88 :rule beta-reduce :args ((= (_ (lambda @t52 (forall @t207 @t221)) @t13) @t213))) % 160.64/160.93 (step @p89 :rule refl :args (@t13)) % 160.64/160.93 (step @p90 :rule aci_norm :args ((= @t223 @t221))) % 160.64/160.93 (step @p91 :rule cong :premises (@p90) :args (@t224)) % 160.64/160.93 (step @p92 :rule quant-merge-prenex :args ((= (forall @t6 @t226) @t224))) % 160.64/160.93 (step @p93 :rule alpha_equiv :args (@t227 (@list @t199 @t198) (@list @t2 @t228))) % 160.64/160.93 (step @p94 :rule nary_cong :premises (@p52 @p93) :args (@t229)) % 160.64/160.93 (step @p95 :rule quant-miniscope-or :args ((= @t226 @t229))) % 160.64/160.93 (step @p96 :rule trans :premises (@p95 @p94)) % 160.64/160.93 (step @p97 :rule symm :premises (@p96)) % 160.64/160.93 (step @p98 :rule cong :premises (@p97) :args ((forall @t6 (or @t152 @t235)))) % 160.64/160.93 (step @p99 :rule trans :premises (@p98 @p92)) % 160.64/160.93 (step @p100 :rule trans :premises (@p99 @p91)) % 160.64/160.93 (step @p101 :rule beta-reduce :args ((= @t239 @t235))) % 160.64/160.93 (step @p102 :rule nary_cong :premises (@p61 @p101) :args (@t240)) % 160.64/160.93 (step @p103 :rule cong :premises (@p102) :args (@t241)) % 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(step @p342 :rule cong :premises (@p341) :args (@t58)) % 160.64/160.93 (step @p343 :rule trans :premises (@p16 @p342)) % 160.64/160.93 (step @p344 :rule ho_cong :premises (@p343 @p302)) % 160.64/160.93 (step @p345 :rule ho_cong :premises (@p344 @p300)) % 160.64/160.93 (step @p346 :rule ho_cong :premises (@p345 @p89)) % 160.64/160.93 (step @p347 :rule cong :premises (@p346) :args (@t23)) % 160.64/160.93 (step @p348 :rule beta-reduce :args ((= (_ (lambda @t52 (not @t380)) @t13) @t312))) % 160.64/160.93 (step @p349 :rule beta-reduce :args ((= @t382 @t380))) % 160.64/160.93 (step @p350 :rule cong :premises (@p349) :args (@t383)) % 160.64/160.93 (step @p351 :rule cong :premises (@p350) :args (@t384)) % 160.64/160.93 (step @p352 :rule beta-reduce :args ((= (_ @t41 @t381) @t384))) % 160.64/160.93 (step @p353 :rule trans :premises (@p352 @p351)) % 160.64/160.93 (step @p354 :rule refl :args (@t219)) % 160.64/160.93 (step @p355 :rule refl :args (@t66)) % 160.64/160.93 (step @p356 :rule cong :premises (@p355 @p354) :args ((= @t66 @t219))) % 160.64/160.93 (step @p357 :rule symm :premises (@p356)) % 160.64/160.93 (step @p358 :rule eq_resolve :premises (@p355 @p357)) % 160.64/160.93 (step @p359 :rule cong :premises (@p358) :args (@t385)) % 160.64/160.93 (step @p360 :rule nary_cong :premises (@p72 @p359) :args (@t386)) % 160.64/160.93 (step @p361 :rule cong :premises (@p360) :args ((forall @t5 @t386))) % 160.64/160.93 (step @p362 :rule beta-reduce :args ((= @t389 @t385))) % 160.64/160.93 (step @p363 :rule nary_cong :premises (@p81 @p362) :args (@t390)) % 160.64/160.93 (step @p364 :rule cong :premises (@p363) :args (@t391)) % 160.64/160.93 (step @p365 :rule trans :premises (@p364 @p361)) % 160.64/160.93 (step @p366 :rule cong :premises (@p365) :args (@t392)) % 160.64/160.93 (step @p367 :rule beta-reduce :args ((= (_ @t220 @t388) @t392))) % 160.64/160.93 (step @p368 :rule trans :premises (@p367 @p366)) % 160.64/160.93 (step @p369 :rule beta-reduce :args ((= (_ @t393 @t13) @t387))) % 160.64/160.93 (step @p370 :rule beta-reduce :args ((= @t394 @t393))) % 160.64/160.93 (step @p371 :rule ho_cong :premises (@p370 @p89)) % 160.64/160.93 (step @p372 :rule trans :premises (@p371 @p369)) % 160.64/160.93 (step @p373 :rule cong :premises (@p372) :args ((lambda @t70 (_ @t394 @t13)))) % 160.64/160.93 (step @p374 :rule ho_cong :premises (@p268 @p373)) % 160.64/160.93 (step @p375 :rule trans :premises (@p374 @p368)) % 160.64/160.93 (step @p376 :rule ho_cong :premises (@p328 @p375)) % 160.64/160.93 (step @p377 :rule trans :premises (@p376 @p353)) % 160.64/160.93 (step @p378 :rule ho_cong :premises (@p377 @p89)) % 160.64/160.93 (step @p379 :rule trans :premises (@p378 @p348)) % 160.64/160.93 (step @p380 :rule refl :args (@t65)) % 160.64/160.93 (step @p381 :rule ho_cong :premises (@p11 @p380)) % 160.64/160.93 (step @p382 :rule ho_cong :premises (@p381 @p89)) % 160.64/160.93 (step @p383 :rule cong :premises (@p382) :args (@t71)) % 160.64/160.93 (step @p384 :rule refl :args (@t182)) % 160.64/160.93 (step @p385 :rule refl :args (@t8)) % 160.64/160.93 (step @p386 :rule cong :premises (@p385 @p384) :args ((= @t8 @t182))) % 160.64/160.93 (step @p387 :rule symm :premises (@p386)) % 160.64/160.93 (step @p388 :rule eq_resolve :premises (@p385 @p387)) % 160.64/160.93 (step @p389 :rule cong :premises (@p388) :args (@t395)) % 160.64/160.93 (step @p390 :rule nary_cong :premises (@p389 @p358) :args (@t396)) % 160.64/160.93 (step @p391 :rule cong :premises (@p390) :args ((forall @t5 @t396))) % 160.64/160.93 (step @p392 :rule bool-impl-elim :args (@t8 @t66)) % 160.64/160.93 (step @p393 :rule cong :premises (@p392) :args (@t67)) % 160.64/160.93 (step @p394 :rule trans :premises (@p393 @p391)) % 160.64/160.93 (step @p395 :rule cong :premises (@p394) :args (@t69)) % 160.64/160.93 (step @p396 :rule trans :premises (@p22 @p395)) % 160.64/160.93 (step @p397 :rule ho_cong :premises (@p396 @p383)) % 160.64/160.93 (step @p398 :rule ho_cong :premises (@p11 @p397)) % 160.64/160.93 (step @p399 :rule ho_cong :premises (@p398 @p89)) % 160.64/160.93 (step @p400 :rule trans :premises (@p399 @p379)) % 160.64/160.93 (step @p401 :rule cong :premises (@p400) :args (@t73)) % 160.64/160.93 (step @p402 :rule trans :premises (@p23 @p401)) % 160.64/160.93 (step @p403 :rule ho_cong :premises (@p402 @p347)) % 160.64/160.93 (step @p404 :rule refl :args (@t16)) % 160.64/160.93 (step @p405 :rule ho_cong :premises (@p299 @p404)) % 160.64/160.93 (step @p406 :rule beta-reduce :args ((= (_ @t397 @t13) @t350))) % 160.64/160.93 (step @p407 :rule beta-reduce :args ((= (_ @t375 @t42) @t397))) % 160.64/160.93 (step @p408 :rule ho_cong :premises (@p325 @p333)) % 160.64/160.93 (step @p409 :rule trans :premises (@p408 @p407)) % 160.64/160.93 (step @p410 :rule ho_cong :premises (@p409 @p89)) % 160.64/160.93 (step @p411 :rule trans :premises (@p410 @p406)) % 160.64/160.93 (step @p412 :rule ho_cong :premises (@p337 @p333)) % 160.64/160.93 (step @p413 :rule ho_cong :premises (@p412 @p89)) % 160.64/160.93 (step @p414 :rule trans :premises (@p413 @p411)) % 160.64/160.93 (step @p415 :rule cong :premises (@p414) :args (@t59)) % 160.64/160.93 (step @p416 :rule trans :premises (@p17 @p415)) % 160.64/160.93 (step @p417 :rule ho_cong :premises (@p416 @p405)) % 160.64/160.93 (step @p418 :rule ho_cong :premises (@p417 @p403)) % 160.64/160.93 (step @p419 :rule ho_cong :premises (@p299 @p418)) % 160.64/160.93 (step @p420 :rule ho_cong :premises (@p419 @p89)) % 160.64/160.93 (step @p421 :rule cong :premises (@p420) :args (@t31)) % 160.64/160.93 (step @p422 :rule ho_cong :premises (@p396 @p421)) % 160.64/160.93 (step @p423 :rule ho_cong :premises (@p299 @p422)) % 160.64/160.93 (step @p424 :rule ho_cong :premises (@p423 @p89)) % 160.64/160.93 (step @p425 :rule cong :premises (@p424) :args (@t32)) % 160.64/160.93 (step @p426 :rule ho_cong :premises (@p396 @p425)) % 160.64/160.93 (step @p427 :rule ho_cong :premises (@p299 @p426)) % 160.64/160.93 (step @p428 :rule refl :args (@t160)) % 160.64/160.93 (step @p429 :rule refl :args (@t38)) % 160.64/160.93 (step @p430 :rule cong :premises (@p429 @p428) :args ((= @t38 @t160))) % 160.64/160.93 (step @p431 :rule symm :premises (@p430)) % 160.64/160.93 (step @p432 :rule eq_resolve :premises (@p429 @p431)) % 160.64/160.93 (step @p433 :rule cong :premises (@p432) :args (@t106)) % 160.64/160.93 (step @p434 :rule cong :premises (@p433) :args (@t108)) % 160.64/160.93 (step @p435 :rule trans :premises (@p35 @p434)) % 160.64/160.93 (step @p436 :rule ho_cong :premises (@p435 @p427)) % 160.64/160.93 (step @p437 :rule cong :premises (@p436) :args (@t33)) % 160.64/160.93 (step @p438 :rule trans :premises (@p437 @p283)) % 160.64/160.93 (step @p439 :rule trans :premises (@p438 @p41)) % 160.64/160.93 (step @p440 :rule eq_resolve :premises (@p8 @p439)) % 160.64/160.93 (step @p441 :rule skolemize :premises (@p440)) % 160.64/160.93 (step @p442 :rule bool-double-not-elim :args (@t404)) % 160.64/160.93 (step @p443 :rule refl :args (@t423)) % 160.64/160.93 (step @p444 :rule nary_cong :premises (@p443 @p442) :args ((or @t423 (not @t405)))) % 160.64/160.93 (step @p445 :rule cnf_or_neg :args (@t423 6)) % 160.64/160.93 (step @p446 :rule eq_resolve :premises (@p445 @p444)) % 160.64/160.93 (step @p447 :rule reordering :premises (@p446) :args ((or @t404 @t423))) % 160.64/160.93 (step @p448 :rule chain_m_resolution :premises (@p447 @p441) :args (@t404 @t424 @t425)) % 160.64/160.93 (step @p449 :rule alpha_equiv :args ((forall (@list @t427) (or (not (_ @t125 (_ @t124 @t134 @t427) @t399)) (not (forall (@list @t429) (or (not (_ @t125 @t400 @t429)) (_ @t125 (_ @t124 @t428 @t402) @t429)))) (not (forall (@list @t426) (or (not (_ @t125 @t400 @t426)) (_ @t125 (_ @t124 @t428 @t398) @t426)))))) @t430 (@list @t431 @t118 @t131))) % 160.64/160.93 (step @p450 :rule alpha_equiv :args (@t404 (@list @t120 @t118 @t131) @t430)) % 160.64/160.93 (step @p451 :rule trans :premises (@p450 @p449)) % 160.64/160.93 (step @p452 :rule equiv_elim1 :premises (@p451)) % 160.64/160.93 (step @p453 :rule chain_m_resolution :premises (@p452 @p448) :args (@t437 (@list false) (@list @t404))) % 160.64/160.93 ; trust TRUST PREPROCESS_HO_ELIM % 160.64/160.93 (step @p454 :rule trust :premises () :args ((= @t439 (forall @t78 (_ @t125 @t438 @t75))))) % 160.64/160.93 (step @p455 :rule beta-reduce :args ((= (_ (lambda @t80 (forall @t78 @t440)) tptp.rel_s4) @t439))) % 160.64/160.93 (step @p456 :rule refl :args (tptp.rel_s4)) % 160.64/160.93 (step @p457 :rule refl :args (@t440)) % 160.64/160.93 (step @p458 :rule refl :args (@t77)) % 160.64/160.93 (step @p459 :rule cong :premises (@p458 @p457) :args ((= @t77 @t440))) % 160.64/160.93 (step @p460 :rule symm :premises (@p459)) % 160.64/160.93 (step @p461 :rule eq_resolve :premises (@p458 @p460)) % 160.64/160.93 (step @p462 :rule cong :premises (@p461) :args (@t79)) % 160.64/160.93 (step @p463 :rule cong :premises (@p462) :args (@t81)) % 160.64/160.93 (step @p464 :rule trans :premises (@p25 @p463)) % 160.64/160.93 (step @p465 :rule ho_cong :premises (@p464 @p456)) % 160.64/160.93 (step @p466 :rule trans :premises (@p465 @p455)) % 160.64/160.93 (step @p467 :rule trans :premises (@p466 @p454)) % 160.64/160.93 (step @p468 :rule eq_resolve :premises (@p3 @p467)) % 160.64/160.93 (step @p469 :rule instantiate :premises (@p468) :args ((@list @t399))) % 160.64/160.93 (step @p470 :rule bool-double-not-elim :args (@t407)) % 160.64/160.93 (step @p471 :rule nary_cong :premises (@p443 @p470) :args ((or @t423 (not @t408)))) % 160.64/160.93 (step @p472 :rule cnf_or_neg :args (@t423 5)) % 160.64/160.93 (step @p473 :rule eq_resolve :premises (@p472 @p471)) % 160.64/160.93 (step @p474 :rule reordering :premises (@p473) :args ((or @t407 @t423))) % 160.64/160.93 (step @p475 :rule chain_m_resolution :premises (@p474 @p441) :args (@t407 @t424 @t425)) % 160.64/160.93 (step @p476 :rule cnf_or_pos :args (@t444)) % 160.64/160.93 (step @p477 :rule reordering :premises (@p476) :args ((or @t408 @t443 @t441 @t445))) % 160.64/160.93 (step @p478 :rule chain_m_resolution :premises (@p477 @p475 @p469 @p453) :args (@t445 @t446 (@list @t407 @t442 @t437))) % 160.64/160.93 ; trust TRUST PREPROCESS_HO_ELIM % 160.64/160.93 (step @p479 :rule trust :premises () :args ((= @t469 (forall @t463 (or @t142 (not (_ @t125 (_ @t124 @t134 @t449) @t1)) (not (_ @t125 @t141 @t459)) (not (_ @t125 (_ @t124 @t134 @t448) @t459)) (and (or (not (_ @t125 @t460 @t461)) (not (forall @t139 (or (not (_ @t125 @t462 @t137)) (_ @t125 @t450 @t137)))) (not (forall @t436 (or (not (_ @t125 @t435 @t461)) (not (forall @t133 (or (not (_ @t125 @t462 @t131)) (_ @t125 (_ @t124 @t432 @t449) @t131)))) (not (forall @t130 (or (not (_ @t125 @t462 @t118)) (_ @t125 (_ @t124 @t432 @t448) @t118)))))))) (or (not (_ @t125 @t460 @t451)) (not (_ @t125 (_ @t124 @t134 @t454) @t451)) (not (forall @t458 (or (not (_ @t125 @t452 @t457)) (_ @t125 (_ @t124 @t455 @t449) @t457)))) (not (forall @t456 (or (not (_ @t125 @t452 @t453)) (_ @t125 (_ @t124 @t455 @t448) @t453)))) (not (_ @t125 @t452 @t447)) (_ @t125 @t450 @t447)))))))) % 160.64/160.93 (step @p480 :rule quant-merge-prenex :args ((= (forall @t52 @t471) @t469))) % 160.64/160.93 (step @p481 :rule beta-reduce :args ((= @t473 @t471))) % 160.64/160.93 (step @p482 :rule cong :premises (@p481) :args (@t474)) % 160.64/160.93 (step @p483 :rule trans :premises (@p482 @p480)) % 160.64/160.93 (step @p484 :rule beta-reduce :args ((= (_ @t161 @t472) @t474))) % 160.64/160.93 (step @p485 :rule trans :premises (@p484 @p483)) % 160.64/160.93 (step @p486 :rule aci_norm :args ((= @t476 @t468))) % 160.64/160.93 (step @p487 :rule cong :premises (@p486) :args (@t477)) % 160.64/160.93 (step @p488 :rule quant-merge-prenex :args ((= (forall @t6 @t479) @t477))) % 160.64/160.93 (step @p489 :rule alpha_equiv :args (@t480 (@list @t449 @t459 @t448 @t461 @t451 @t454 @t447) (@list @t2 @t486 @t485 @t484 @t483 @t482 @t481))) % 160.64/160.93 (step @p490 :rule nary_cong :premises (@p52 @p489) :args (@t487)) % 160.64/160.93 (step @p491 :rule quant-miniscope-or :args ((= @t479 @t487))) % 160.64/160.93 (step @p492 :rule trans :premises (@p491 @p490)) % 160.64/160.93 (step @p493 :rule symm :premises (@p492)) % 160.64/160.93 (step @p494 :rule cong :premises (@p493) :args ((forall @t6 (or @t152 @t492)))) % 160.64/160.93 (step @p495 :rule trans :premises (@p494 @p488)) % 160.64/160.93 (step @p496 :rule trans :premises (@p495 @p487)) % 160.64/160.93 (step @p497 :rule beta-reduce :args ((= @t496 @t492))) % 160.64/160.93 (step @p498 :rule nary_cong :premises (@p61 @p497) :args (@t497)) % 160.64/160.93 (step @p499 :rule cong :premises (@p498) :args (@t498)) % 160.64/160.93 (step @p500 :rule trans :premises (@p499 @p496)) % 160.64/160.93 (step @p501 :rule cong :premises (@p500) :args (@t499)) % 160.64/160.93 (step @p502 :rule beta-reduce :args ((= (_ @t191 @t495) @t499))) % 160.64/160.93 (step @p503 :rule trans :premises (@p502 @p501)) % 160.64/160.93 (step @p504 :rule aci_norm :args ((= @t501 @t494))) % 160.64/160.93 (step @p505 :rule cong :premises (@p504) :args (@t502)) % 160.64/160.93 (step @p506 :rule quant-merge-prenex :args ((= (forall @t5 @t504) @t502))) % 160.64/160.93 (step @p507 :rule alpha_equiv :args (@t505 (@list @t486 @t485 @t484 @t483 @t482 @t481) (@list @t1 @t510 @t509 @t508 @t507 @t506))) % 160.64/160.93 (step @p508 :rule nary_cong :premises (@p72 @p507) :args (@t511)) % 160.64/160.93 (step @p509 :rule quant-miniscope-or :args ((= @t504 @t511))) % 160.64/160.93 (step @p510 :rule trans :premises (@p509 @p508)) % 160.64/160.93 (step @p511 :rule symm :premises (@p510)) % 160.64/160.93 (step @p512 :rule cong :premises (@p511) :args ((forall @t5 (or @t183 @t524)))) % 160.64/160.93 (step @p513 :rule trans :premises (@p512 @p506)) % 160.64/160.93 (step @p514 :rule trans :premises (@p513 @p505)) % 160.64/160.93 (step @p515 :rule beta-reduce :args ((= @t529 @t524))) % 160.64/160.93 (step @p516 :rule nary_cong :premises (@p81 @p515) :args (@t530)) % 160.64/160.93 (step @p517 :rule cong :premises (@p516) :args (@t531)) % 160.64/160.93 (step @p518 :rule trans :premises (@p517 @p514)) % 160.64/160.93 (step @p519 :rule cong :premises (@p518) :args (@t532)) % 160.64/160.93 (step @p520 :rule beta-reduce :args ((= (_ @t220 @t528) @t532))) % 160.64/160.93 (step @p521 :rule trans :premises (@p520 @p519)) % 160.64/160.93 (step @p522 :rule beta-reduce :args ((= (_ (lambda @t52 (forall @t523 @t533)) @t13) @t527))) % 160.64/160.93 (step @p523 :rule aci_norm :args ((= @t535 @t533))) % 160.64/160.93 (step @p524 :rule cong :premises (@p523) :args (@t536)) % 160.64/160.93 (step @p525 :rule quant-merge-prenex :args ((= (forall @t6 @t538) @t536))) % 160.64/160.93 (step @p526 :rule alpha_equiv :args (@t539 (@list @t510 @t509 @t508 @t507 @t506) (@list @t2 @t543 @t542 @t541 @t540))) % 160.64/160.93 (step @p527 :rule nary_cong :premises (@p52 @p526) :args (@t544)) % 160.64/160.93 (step @p528 :rule quant-miniscope-or :args ((= @t538 @t544))) % 160.64/160.93 (step @p529 :rule trans :premises (@p528 @p527)) % 160.64/160.93 (step @p530 :rule symm :premises (@p529)) % 160.64/160.93 (step @p531 :rule cong :premises (@p530) :args ((forall @t6 (or @t152 @t554)))) % 160.64/160.93 (step @p532 :rule trans :premises (@p531 @p525)) % 160.64/160.93 (step @p533 :rule trans :premises (@p532 @p524)) % 160.64/160.93 (step @p534 :rule beta-reduce :args ((= @t561 @t554))) % 160.64/160.93 (step @p535 :rule nary_cong :premises (@p61 @p534) :args (@t562)) % 160.64/160.93 (step @p536 :rule cong :premises (@p535) :args (@t563)) % 160.64/160.93 (step @p537 :rule trans :premises (@p536 @p533)) % 160.64/160.93 (step @p538 :rule cong :premises (@p537) :args (@t564)) % 160.64/160.93 (step @p539 :rule beta-reduce :args ((= (_ @t191 @t560) @t564))) % 160.64/160.93 (step @p540 :rule trans :premises (@p539 @p538)) % 160.64/160.93 (step @p541 :rule quant-merge-prenex :args ((= (forall @t5 @t566) @t559))) % 160.64/160.93 (step @p542 :rule alpha_equiv :args (@t567 (@list @t542 @t541 @t540) (@list @t1 @t569 @t568))) % 160.64/160.93 (step @p543 :rule quant-unused-vars :args ((= @t570 @t567))) % 160.64/160.93 (step @p544 :rule trans :premises (@p543 @p542)) % 160.64/160.93 (step @p545 :rule alpha_equiv :args (@t571 (@list @t543) @t249)) % 160.64/160.93 (step @p546 :rule quant-unused-vars :args ((= @t572 @t571))) % 160.64/160.93 (step @p547 :rule trans :premises (@p546 @p545)) % 160.64/160.93 (step @p548 :rule nary_cong :premises (@p547 @p544) :args (@t573)) % 160.64/160.93 (step @p549 :rule quant-miniscope-and :args ((= @t574 @t573))) % 160.64/160.93 (step @p550 :rule trans :premises (@p549 @p548)) % 160.64/160.93 (step @p551 :rule nary_cong :premises (@p72 @p550) :args (@t575)) % 160.64/160.93 (step @p552 :rule quant-miniscope-or :args ((= @t566 @t575))) % 160.64/160.93 (step @p553 :rule trans :premises (@p552 @p551)) % 160.64/160.93 (step @p554 :rule symm :premises (@p553)) % 160.64/160.93 (step @p555 :rule cong :premises (@p554) :args ((forall @t5 (or @t183 (and @t585 @t582))))) % 160.64/160.93 (step @p556 :rule trans :premises (@p555 @p541)) % 160.64/160.93 (step @p557 :rule bool-double-not-elim :args (@t582)) % 160.64/160.93 (step @p558 :rule bool-double-not-elim :args (@t585)) % 160.64/160.93 (step @p559 :rule nary_cong :premises (@p558 @p557) :args ((and (not @t587) (not @t586)))) % 160.64/160.93 (step @p560 :rule bool-or-de-morgan :args (@t587 @t586 false)) % 160.64/160.93 (step @p561 :rule trans :premises (@p560 @p559)) % 160.64/160.93 (step @p562 :rule nary_cong :premises (@p72 @p561) :args (@t589)) % 160.64/160.93 (step @p563 :rule cong :premises (@p562) :args ((forall @t5 @t589))) % 160.64/160.93 (step @p564 :rule trans :premises (@p563 @p556)) % 160.64/160.93 (step @p565 :rule beta-reduce :args ((= (_ (lambda @t27 (not (or (not (forall @t6 (or @t212 @t259 (not (forall @t436 (or @t584 @t583 (not (forall @t130 (or @t251 (tptp.member @t431 @t14 @t118)))))))))) @t593))) @t2 @t7) @t588))) % 160.64/160.93 (step @p566 :rule refl :args (@t593)) % 160.64/160.93 (step @p567 :rule alpha_equiv :args (@t262 @t263 (@list @t431))) % 160.64/160.93 (step @p568 :rule cong :premises (@p567) :args (@t264)) % 160.64/160.93 (step @p569 :rule nary_cong :premises (@p125 @p124 @p568) :args (@t265)) % 160.64/160.93 (step @p570 :rule cong :premises (@p569) :args (@t266)) % 160.64/160.93 (step @p571 :rule cong :premises (@p570) :args (@t594)) % 160.64/160.93 (step @p572 :rule nary_cong :premises (@p571 @p566) :args (@t595)) % 160.64/160.93 (step @p573 :rule cong :premises (@p572) :args (@t596)) % 160.64/160.93 (step @p574 :rule cong :premises (@p573) :args (@t597)) % 160.64/160.93 (step @p575 :rule ho_cong :premises (@p574 @p121 @p120)) % 160.64/160.93 (step @p576 :rule trans :premises (@p575 @p565)) % 160.64/160.93 (step @p577 :rule nary_cong :premises (@p81 @p576) :args (@t598)) % 160.64/160.93 (step @p578 :rule cong :premises (@p577) :args (@t599)) % 160.64/160.93 (step @p579 :rule trans :premises (@p578 @p564)) % 160.64/160.93 (step @p580 :rule cong :premises (@p579) :args (@t600)) % 160.64/160.93 (step @p581 :rule beta-reduce :args ((= (_ @t220 @t597) @t600))) % 160.64/160.93 (step @p582 :rule trans :premises (@p581 @p580)) % 160.64/160.93 (step @p583 :rule beta-reduce :args ((= (_ (lambda @t276 @t596) @t13) @t596))) % 160.64/160.93 (step @p584 :rule beta-reduce :args ((= @t603 @t592))) % 160.64/160.93 (step @p585 :rule cong :premises (@p584) :args (@t604)) % 160.64/160.93 (step @p586 :rule refl :args (@t594)) % 160.64/160.93 (step @p587 :rule nary_cong :premises (@p586 @p585) :args (@t605)) % 160.64/160.93 (step @p588 :rule cong :premises (@p587) :args (@t606)) % 160.64/160.93 (step @p589 :rule cong :premises (@p588) :args (@t607)) % 160.64/160.93 (step @p590 :rule beta-reduce :args ((= (_ (lambda @t297 (not (or @t594 @t320))) @t602) @t607))) % 160.64/160.93 (step @p591 :rule trans :premises (@p590 @p589)) % 160.64/160.93 (step @p592 :rule aci_norm :args ((= @t610 @t601))) % 160.64/160.93 (step @p593 :rule cong :premises (@p592) :args (@t611)) % 160.64/160.93 (step @p594 :rule quant-merge-prenex :args ((= (forall @t6 @t612) @t611))) % 160.64/160.93 (step @p595 :rule alpha_equiv :args (@t613 (@list @t568) @t615)) % 160.64/160.93 (step @p596 :rule alpha_equiv :args (@t616 (@list @t569) @t263)) % 160.64/160.93 (step @p597 :rule nary_cong :premises (@p52 @p596 @p595) :args (@t617)) % 160.64/160.93 (step @p598 :rule quant-miniscope-or :args ((= @t612 @t617))) % 160.64/160.93 (step @p599 :rule trans :premises (@p598 @p597)) % 160.64/160.93 (step @p600 :rule symm :premises (@p599)) % 160.64/160.93 (step @p601 :rule cong :premises (@p600) :args ((forall @t6 @t624))) % 160.64/160.93 (step @p602 :rule trans :premises (@p601 @p594)) % 160.64/160.93 (step @p603 :rule trans :premises (@p602 @p593)) % 160.64/160.93 (step @p604 :rule aci_norm :args ((= (or @t152 @t625) @t624))) % 160.64/160.93 (step @p605 :rule beta-reduce :args ((= (_ (lambda @t276 (or (forall @t5 (or @t275 (not (forall @t458 (or (not (tptp.rel_s4 @t13 @t457)) @t622))) (not (forall @t456 (or (not (tptp.rel_s4 @t13 @t453)) @t621))))) (forall @t619 (or (not (tptp.rel_s4 @t13 @t614)) @t618)))) @t1) @t625))) % 160.64/160.93 (step @p606 :rule alpha_equiv :args (@t285 @t249 @t615)) % 160.64/160.93 (step @p607 :rule alpha_equiv :args (@t277 @t249 (@list @t453))) % 160.64/160.93 (step @p608 :rule cong :premises (@p607) :args (@t278)) % 160.64/160.93 (step @p609 :rule alpha_equiv :args (@t279 @t249 (@list @t457))) % 160.64/160.93 (step @p610 :rule cong :premises (@p609) :args (@t280)) % 160.64/160.93 (step @p611 :rule nary_cong :premises (@p145 @p610 @p608) :args (@t281)) % 160.64/160.93 (step @p612 :rule cong :premises (@p611) :args (@t282)) % 160.64/160.93 (step @p613 :rule nary_cong :premises (@p612 @p606) :args (@t626)) % 160.64/160.93 (step @p614 :rule cong :premises (@p613) :args (@t627)) % 160.64/160.93 (step @p615 :rule ho_cong :premises (@p614 @p140)) % 160.64/160.93 (step @p616 :rule trans :premises (@p615 @p605)) % 160.64/160.93 (step @p617 :rule nary_cong :premises (@p61 @p616) :args (@t628)) % 160.64/160.93 (step @p618 :rule trans :premises (@p617 @p604)) % 160.64/160.93 (step @p619 :rule cong :premises (@p618) :args (@t629)) % 160.64/160.93 (step @p620 :rule trans :premises (@p619 @p603)) % 160.64/160.93 (step @p621 :rule cong :premises (@p620) :args (@t630)) % 160.64/160.93 (step @p622 :rule beta-reduce :args ((= (_ @t191 @t627) @t630))) % 160.64/160.93 (step @p623 :rule trans :premises (@p622 @p621)) % 160.64/160.93 (step @p624 :rule refl :args (@t282)) % 160.64/160.93 (step @p625 :rule nary_cong :premises (@p624 @p237) :args (@t631)) % 160.64/160.93 (step @p626 :rule cong :premises (@p625) :args (@t632)) % 160.64/160.93 (step @p627 :rule beta-reduce :args ((= (_ (lambda @t297 (or @t282 @t296)) @t345) @t632))) % 160.64/160.93 (step @p628 :rule trans :premises (@p627 @p626)) % 160.64/160.93 (step @p629 :rule bool-double-not-elim :args (@t282)) % 160.64/160.93 (step @p630 :rule cong :premises (@p161) :args (@t633)) % 160.64/160.93 (step @p631 :rule trans :premises (@p630 @p629)) % 160.64/160.93 (step @p632 :rule nary_cong :premises (@p631 @p236) :args (@t634)) % 160.64/160.93 (step @p633 :rule cong :premises (@p632) :args (@t635)) % 160.64/160.93 (step @p634 :rule beta-reduce :args ((= (_ @t351 @t292) @t635))) % 160.64/160.93 (step @p635 :rule trans :premises (@p634 @p633)) % 160.64/160.93 (step @p636 :rule ho_cong :premises (@p257 @p235)) % 160.64/160.93 (step @p637 :rule trans :premises (@p636 @p635)) % 160.64/160.93 (step @p638 :rule ho_cong :premises (@p637 @p256)) % 160.64/160.93 (step @p639 :rule trans :premises (@p638 @p628)) % 160.64/160.93 (step @p640 :rule ho_cong :premises (@p262 @p639)) % 160.64/160.93 (step @p641 :rule trans :premises (@p640 @p623)) % 160.64/160.93 (step @p642 :rule cong :premises (@p137) :args (@t636)) % 160.64/160.93 (step @p643 :rule nary_cong :premises (@p642 @p203) :args (@t637)) % 160.64/160.93 (step @p644 :rule cong :premises (@p643) :args (@t638)) % 160.64/160.93 (step @p645 :rule cong :premises (@p644) :args (@t639)) % 160.64/160.93 (step @p646 :rule beta-reduce :args ((= (_ @t336 @t272) @t639))) % 160.64/160.93 (step @p647 :rule trans :premises (@p646 @p645)) % 160.64/160.93 (step @p648 :rule ho_cong :premises (@p225 @p264)) % 160.64/160.93 (step @p649 :rule trans :premises (@p648 @p647)) % 160.64/160.93 (step @p650 :rule ho_cong :premises (@p649 @p641)) % 160.64/160.93 (step @p651 :rule trans :premises (@p650 @p591)) % 160.64/160.93 (step @p652 :rule ho_cong :premises (@p651 @p89)) % 160.64/160.93 (step @p653 :rule trans :premises (@p652 @p583)) % 160.64/160.93 (step @p654 :rule cong :premises (@p653) :args (@t640)) % 160.64/160.93 (step @p655 :rule ho_cong :premises (@p268 @p654)) % 160.64/160.93 (step @p656 :rule trans :premises (@p655 @p582)) % 160.64/160.93 (step @p657 :rule ho_cong :premises (@p262 @p656)) % 160.64/160.93 (step @p658 :rule trans :premises (@p657 @p540)) % 160.64/160.93 (step @p659 :rule ho_cong :premises (@p658 @p89)) % 160.64/160.93 (step @p660 :rule trans :premises (@p659 @p522)) % 160.64/160.93 (step @p661 :rule cong :premises (@p660) :args ((lambda @t29 (_ (_ @t191 (_ @t220 @t640)) @t13)))) % 160.64/160.93 (step @p662 :rule ho_cong :premises (@p268 @p661)) % 160.64/160.93 (step @p663 :rule trans :premises (@p662 @p521)) % 160.64/160.93 (step @p664 :rule ho_cong :premises (@p262 @p663)) % 160.64/160.93 (step @p665 :rule trans :premises (@p664 @p503)) % 160.64/160.93 (step @p666 :rule ho_cong :premises (@p280 @p665)) % 160.64/160.93 (step @p667 :rule trans :premises (@p666 @p485)) % 160.64/160.93 (step @p668 :rule ho_cong :premises (@p416 @p403)) % 160.64/160.93 (step @p669 :rule ho_cong :premises (@p668 @p405)) % 160.64/160.93 (step @p670 :rule ho_cong :premises (@p299 @p669)) % 160.64/160.93 (step @p671 :rule ho_cong :premises (@p343 @p419)) % 160.64/160.93 (step @p672 :rule ho_cong :premises (@p671 @p670)) % 160.64/160.93 (step @p673 :rule ho_cong :premises (@p672 @p89)) % 160.64/160.93 (step @p674 :rule cong :premises (@p673) :args (@t28)) % 160.64/160.93 (step @p675 :rule ho_cong :premises (@p396 @p674)) % 160.64/160.93 (step @p676 :rule ho_cong :premises (@p299 @p675)) % 160.64/160.93 (step @p677 :rule ho_cong :premises (@p676 @p89)) % 160.64/160.93 (step @p678 :rule cong :premises (@p677) :args (@t30)) % 160.64/160.93 (step @p679 :rule ho_cong :premises (@p396 @p678)) % 160.64/160.93 (step @p680 :rule ho_cong :premises (@p299 @p679)) % 160.64/160.93 (step @p681 :rule ho_cong :premises (@p435 @p680)) % 160.64/160.93 (step @p682 :rule trans :premises (@p681 @p667)) % 160.64/160.93 (step @p683 :rule trans :premises (@p682 @p479)) % 160.64/160.93 (step @p684 :rule eq_resolve :premises (@p6 @p683)) % 160.64/160.93 (step @p685 :rule instantiate :premises (@p684) :args ((@list @t409 @t399 @t402 @t399 @t398 @t399 @t409 @t641 @t399))) % 160.64/160.93 ; trust TRUST PREPROCESS_HO_ELIM % 160.64/160.93 (step @p686 :rule trust :premises () :args ((= (forall @t11 (or @t178 (not @t643) @t182)) (forall @t11 (or (not (_ @t125 @t642 @t1)) (not (_ @t125 @t141 @t7)) (_ @t125 @t642 @t7)))))) % 160.64/160.93 (step @p687 :rule refl :args (@t643)) % 160.64/160.93 (step @p688 :rule refl :args (@t9)) % 160.64/160.93 (step @p689 :rule cong :premises (@p688 @p687) :args ((= @t9 @t643))) % 160.64/160.93 (step @p690 :rule symm :premises (@p689)) % 160.64/160.93 (step @p691 :rule eq_resolve :premises (@p688 @p690)) % 160.64/160.93 (step @p692 :rule cong :premises (@p691) :args (@t644)) % 160.64/160.93 (step @p693 :rule refl :args (@t177)) % 160.64/160.93 (step @p694 :rule refl :args (@t4)) % 160.64/160.93 (step @p695 :rule cong :premises (@p694 @p693) :args ((= @t4 @t177))) % 160.64/160.93 (step @p696 :rule symm :premises (@p695)) % 160.64/160.93 (step @p697 :rule eq_resolve :premises (@p694 @p696)) % 160.64/160.93 (step @p698 :rule cong :premises (@p697) :args (@t645)) % 160.64/160.93 (step @p699 :rule nary_cong :premises (@p698 @p692 @p388) :args (@t646)) % 160.64/160.93 (step @p700 :rule cong :premises (@p699) :args ((forall @t11 @t646))) % 160.64/160.93 (step @p701 :rule aci_norm :args ((= (or (or @t645 @t644) @t8) @t646))) % 160.64/160.93 (step @p702 :rule bool-and-de-morgan :args (@t4 @t9 true)) % 160.64/160.93 (step @p703 :rule nary_cong :premises (@p702 @p385) :args ((or (not @t10) @t8))) % 160.64/160.93 (step @p704 :rule trans :premises (@p703 @p701)) % 160.64/160.93 (step @p705 :rule bool-impl-elim :args (@t10 @t8)) % 160.64/160.93 (step @p706 :rule trans :premises (@p705 @p704)) % 160.64/160.93 (step @p707 :rule cong :premises (@p706) :args (@t12)) % 160.64/160.93 (step @p708 :rule trans :premises (@p707 @p700)) % 160.64/160.93 (step @p709 :rule trans :premises (@p708 @p686)) % 160.64/160.93 (step @p710 :rule eq_resolve :premises (@p5 @p709)) % 160.64/160.93 (step @p711 :rule instantiate :premises (@p710) :args ((@list @t398 @t409 @t399))) % 160.64/160.93 (step @p712 :rule bool-double-not-elim :args (@t411)) % 160.64/160.93 (step @p713 :rule nary_cong :premises (@p443 @p712) :args ((or @t423 (not @t412)))) % 160.64/160.93 (step @p714 :rule cnf_or_neg :args (@t423 4)) % 160.64/160.93 (step @p715 :rule eq_resolve :premises (@p714 @p713)) % 160.64/160.93 (step @p716 :rule reordering :premises (@p715) :args ((or @t411 @t423))) % 160.64/160.93 (step @p717 :rule chain_m_resolution :premises (@p716 @p441) :args (@t411 @t424 @t425)) % 160.64/160.93 (step @p718 :rule bool-double-not-elim :args (@t414)) % 160.64/160.93 (step @p719 :rule nary_cong :premises (@p443 @p718) :args ((or @t423 (not @t415)))) % 160.64/160.93 (step @p720 :rule cnf_or_neg :args (@t423 3)) % 160.64/160.93 (step @p721 :rule eq_resolve :premises (@p720 @p719)) % 160.64/160.93 (step @p722 :rule reordering :premises (@p721) :args ((or @t414 @t423))) % 160.64/160.93 (step @p723 :rule chain_m_resolution :premises (@p722 @p441) :args (@t414 @t424 @t425)) % 160.64/160.93 (step @p724 :rule cnf_or_pos :args (@t648)) % 160.64/160.93 (step @p725 :rule reordering :premises (@p724) :args ((or @t415 @t412 @t647 (not @t648)))) % 160.64/160.93 (step @p726 :rule chain_m_resolution :premises (@p725 @p723 @p717 @p711) :args (@t647 @t446 (@list @t414 @t411 @t648))) % 160.64/160.93 (step @p727 :rule instantiate :premises (@p710) :args ((@list @t402 @t416 @t399))) % 160.64/160.93 ; trust TRUST PREPROCESS_HO_ELIM % 160.64/160.93 (step @p728 :rule trust :premises () :args ((= @t649 (forall @t92 (or (not (_ @t125 @t438 @t82)) (not (_ @t125 (_ @t128 @t127 @t82) @t88)) (_ @t125 @t438 @t88)))))) % 160.64/160.93 (step @p729 :rule beta-reduce :args ((= (_ (lambda @t80 (forall @t92 (or (not @t652) (not @t651) @t650))) tptp.rel_s4) @t649))) % 160.64/160.93 (step @p730 :rule refl :args (@t650)) % 160.64/160.93 (step @p731 :rule refl :args (@t89)) % 160.64/160.93 (step @p732 :rule cong :premises (@p731 @p730) :args ((= @t89 @t650))) % 160.64/160.93 (step @p733 :rule symm :premises (@p732)) % 160.64/160.93 (step @p734 :rule eq_resolve :premises (@p731 @p733)) % 160.64/160.93 (step @p735 :rule refl :args (@t651)) % 160.64/160.93 (step @p736 :rule refl :args (@t90)) % 160.64/160.93 (step @p737 :rule cong :premises (@p736 @p735) :args ((= @t90 @t651))) % 160.64/160.93 (step @p738 :rule symm :premises (@p737)) % 160.64/160.93 (step @p739 :rule eq_resolve :premises (@p736 @p738)) % 160.64/160.93 (step @p740 :rule cong :premises (@p739) :args (@t653)) % 160.64/160.93 (step @p741 :rule refl :args (@t652)) % 160.64/160.93 (step @p742 :rule refl :args (@t84)) % 160.64/160.93 (step @p743 :rule cong :premises (@p742 @p741) :args ((= @t84 @t652))) % 160.64/160.93 (step @p744 :rule symm :premises (@p743)) % 160.64/160.93 (step @p745 :rule eq_resolve :premises (@p742 @p744)) % 160.64/160.93 (step @p746 :rule cong :premises (@p745) :args (@t654)) % 160.64/160.93 (step @p747 :rule nary_cong :premises (@p746 @p740 @p734) :args (@t655)) % 160.64/160.93 (step @p748 :rule cong :premises (@p747) :args ((forall @t92 @t655))) % 160.64/160.93 (step @p749 :rule aci_norm :args ((= (or (or @t654 @t653) @t89) @t655))) % 160.64/160.93 (step @p750 :rule bool-and-de-morgan :args (@t84 @t90 true)) % 160.64/160.93 (step @p751 :rule nary_cong :premises (@p750 @p731) :args ((or (not @t91) @t89))) % 160.64/160.93 (step @p752 :rule trans :premises (@p751 @p749)) % 160.64/160.93 (step @p753 :rule bool-impl-elim :args (@t91 @t89)) % 160.64/160.93 (step @p754 :rule trans :premises (@p753 @p752)) % 160.64/160.93 (step @p755 :rule cong :premises (@p754) :args (@t93)) % 160.64/160.93 (step @p756 :rule trans :premises (@p755 @p748)) % 160.64/160.93 (step @p757 :rule cong :premises (@p756) :args (@t94)) % 160.64/160.93 (step @p758 :rule trans :premises (@p28 @p757)) % 160.64/160.93 (step @p759 :rule ho_cong :premises (@p758 @p456)) % 160.64/160.93 (step @p760 :rule trans :premises (@p759 @p729)) % 160.64/160.93 (step @p761 :rule trans :premises (@p760 @p728)) % 160.64/160.93 (step @p762 :rule eq_resolve :premises (@p4 @p761)) % 160.64/160.93 (step @p763 :rule instantiate :premises (@p762) :args ((@list @t416 @t409 @t399))) % 160.64/160.93 (step @p764 :rule bool-double-not-elim :args (@t418)) % 160.64/160.93 (step @p765 :rule nary_cong :premises (@p443 @p764) :args ((or @t423 (not @t419)))) % 160.64/160.93 (step @p766 :rule cnf_or_neg :args (@t423 2)) % 160.64/160.93 (step @p767 :rule eq_resolve :premises (@p766 @p765)) % 160.64/160.93 (step @p768 :rule reordering :premises (@p767) :args ((or @t418 @t423))) % 160.64/160.93 (step @p769 :rule chain_m_resolution :premises (@p768 @p441) :args (@t418 @t424 @t425)) % 160.64/160.93 (step @p770 :rule cnf_or_pos :args (@t657)) % 160.64/160.93 (step @p771 :rule reordering :premises (@p770) :args ((or @t419 @t412 @t656 (not @t657)))) % 160.64/160.93 (step @p772 :rule chain_m_resolution :premises (@p771 @p769 @p717 @p763) :args (@t656 @t446 (@list @t418 @t411 @t657))) % 160.64/160.93 (step @p773 :rule bool-double-not-elim :args (@t421)) % 160.64/160.93 (step @p774 :rule nary_cong :premises (@p443 @p773) :args ((or @t423 (not @t422)))) % 160.64/160.93 (step @p775 :rule cnf_or_neg :args (@t423 1)) % 160.64/160.93 (step @p776 :rule eq_resolve :premises (@p775 @p774)) % 160.64/160.93 (step @p777 :rule reordering :premises (@p776) :args ((or @t421 @t423))) % 160.64/160.93 (step @p778 :rule chain_m_resolution :premises (@p777 @p441) :args (@t421 @t424 @t425)) % 160.64/160.93 (step @p779 :rule cnf_or_pos :args (@t660)) % 160.64/160.93 (step @p780 :rule reordering :premises (@p779) :args ((or @t422 @t658 @t659 (not @t660)))) % 160.64/160.93 (step @p781 :rule chain_m_resolution :premises (@p780 @p778 @p772 @p727) :args (@t658 @t446 (@list @t421 @t656 @t660))) % 160.64/160.93 (step @p782 :rule cnf_or_pos :args (@t665)) % 160.64/160.93 (step @p783 :rule reordering :premises (@p782) :args ((or @t412 @t664 @t663 @t443 @t662 (not @t665)))) % 160.64/160.93 (step @p784 :rule chain_m_resolution :premises (@p783 @p717 @p781 @p726 @p469 @p685) :args (@t662 (@list false false false false false) (@list @t411 @t658 @t647 @t442 @t665))) % 160.64/160.93 (step @p785 :rule cnf_and_pos :args (@t662 0)) % 160.64/160.93 (step @p786 :rule reordering :premises (@p785) :args ((or @t444 (not @t662)))) % 160.64/160.93 (step @p787 false :rule chain_m_resolution :premises (@p786 @p784 @p478) :args (false (@list false true) (@list @t662 @t444))) % 160.64/160.93 ) % 160.64/160.93 % SZS output end Proof % 160.64/160.93 % cvc5 exiting %------------------------------------------------------------------------------