%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : AGT031^1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:04:47 AM UTC 2026 % Result : Theorem 150.91s 151.35s % Output : Proof 150.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : AGT031^1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n006.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 01:33:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 150.91/151.35 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.91/151.35 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 150.91/151.35 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 150.91/151.35 --- Run --ho-elim --full-saturate-quant at 18s... % 150.91/151.35 % SZS status Theorem % 150.91/151.35 % SZS output start Proof % 150.91/151.35 ( % 150.91/151.35 (declare-sort $$unsorted 0) % 150.91/151.35 (declare-sort tptp.mu 0) % 150.91/151.35 (declare-const tptp.possibly_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 150.91/151.35 (declare-const tptp.very_much_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 150.91/151.35 (declare-const tptp.beer tptp.mu) % 150.91/151.35 (declare-const tptp.cola tptp.mu) % 150.91/151.35 (declare-const tptp.jan tptp.mu) % 150.91/151.35 (declare-const tptp.likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 150.91/151.35 (declare-const tptp.a1 (-> $$unsorted $$unsorted Bool)) % 150.91/151.35 (declare-const tptp.pepsi tptp.mu) % 150.91/151.35 (declare-const tptp.piotr tptp.mu) % 150.91/151.35 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 150.91/151.35 (declare-const tptp.a2 (-> $$unsorted $$unsorted Bool)) % 150.91/151.35 (declare-const tptp.a3 (-> $$unsorted $$unsorted Bool)) % 150.91/151.35 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 150.91/151.35 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.91/151.35 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 150.91/151.35 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 150.91/151.35 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 150.91/151.35 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 150.91/151.35 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 150.91/151.35 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 150.91/151.35 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 150.91/151.35 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.91/151.35 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.91/151.35 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 150.91/151.35 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 150.91/151.35 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 150.91/151.35 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 150.91/151.35 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 150.91/151.35 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 150.91/151.35 (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)))))))) % 150.91/151.35 (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)))))))) % 150.91/151.35 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 150.91/151.35 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 150.91/151.35 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 150.91/151.35 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 150.91/151.35 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 150.91/151.35 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 150.91/151.35 (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))))))))))))) % 150.91/151.35 (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)))))) % 150.91/151.35 (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))))))) % 150.91/151.35 (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)))))) % 150.91/151.35 (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))))))) % 150.91/151.35 (define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R2" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R1" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))) % 150.91/151.35 (define tptp.cond4s () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R2" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "V" $$unsorted))) (let ((_let_5 (@var "R1" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_5 _let_3) (forall (@list _let_2 _let_4 _let_1) (=> (and (_ (_ _let_5 _let_2) _let_4) (_ (_ _let_3 _let_4) _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 150.91/151.35 (define @t1 () (_ tptp.likes tptp.jan)) % 150.91/151.35 (define @t2 () (_ @t1 tptp.cola)) % 150.91/151.35 (define @t3 () (_ tptp.mbox tptp.a1)) % 150.91/151.35 (define @t4 () (_ tptp.likes tptp.piotr)) % 150.91/151.35 (define @t5 () (_ @t4 tptp.pepsi)) % 150.91/151.35 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 150.91/151.35 (define @t7 () (@var "X" tptp.mu)) % 150.91/151.35 (define @t8 () (_ tptp.likes @t7)) % 150.91/151.35 (define @t9 () (_ @t8 tptp.cola)) % 150.91/151.35 (define @t10 () (_ @t8 tptp.pepsi)) % 150.91/151.35 (define @t11 () (_ tptp.mdia tptp.a1)) % 150.91/151.35 (define @t12 () (@list @t7 @t6)) % 150.91/151.35 (define @t13 () (_ @t1 tptp.pepsi)) % 150.91/151.35 (define @t14 () (_ tptp.mbox tptp.a2)) % 150.91/151.35 (define @t15 () (_ @t4 tptp.beer)) % 150.91/151.35 (define @t16 () (lambda @t12 (_ (_ @t14 (_ (_ tptp.mimplies @t10) @t9)) @t6))) % 150.91/151.35 (define @t17 () (_ tptp.mbox tptp.a3)) % 150.91/151.35 (define @t18 () (_ tptp.mdia tptp.a3)) % 150.91/151.35 (define @t19 () (@var "Y" tptp.mu)) % 150.91/151.35 (define @t20 () (_ tptp.very_much_likes @t7)) % 150.91/151.35 (define @t21 () (_ @t20 @t19)) % 150.91/151.35 (define @t22 () (_ @t8 @t19)) % 150.91/151.35 (define @t23 () (@list @t19 @t6)) % 150.91/151.35 (define @t24 () (lambda @t23 (_ (_ @t17 (_ (_ tptp.mimplies (_ (_ tptp.mand @t22) (_ (_ tptp.mand (_ @t3 @t22)) (_ @t14 @t22)))) @t21)) @t6))) % 150.91/151.35 (define @t25 () (lambda @t12 (_ (_ tptp.mforall_ind @t24) @t6))) % 150.91/151.35 (define @t26 () (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t17 @t21)) @t21) @t6))) % 150.91/151.35 (define @t27 () (lambda @t12 (_ (_ tptp.mforall_ind @t26) @t6))) % 150.91/151.35 (define @t28 () (_ (_ tptp.possibly_likes @t7) @t19)) % 150.91/151.35 (define @t29 () (_ tptp.subrel tptp.a1)) % 150.91/151.35 (define @t30 () (_ tptp.cond4s tptp.a1)) % 150.91/151.35 (define @t31 () (_ tptp.cond4s tptp.a2)) % 150.91/151.35 (define @t32 () (_ @t21 @t6)) % 150.91/151.35 (define @t33 () (lambda @t23 @t32)) % 150.91/151.35 (define @t34 () (lambda @t12 (_ (_ tptp.mexists_ind @t33) @t6))) % 150.91/151.35 (define @t35 () (not (_ tptp.mvalid (_ tptp.mexists_ind @t34)))) % 150.91/151.35 (define @t36 () (@var "W" $$unsorted)) % 150.91/151.35 (define @t37 () (lambda (@list @t7 @t19 @t36) (= @t7 @t19))) % 150.91/151.35 (define @t38 () (@var "Y" (-> $$unsorted Bool))) % 150.91/151.35 (define @t39 () (@var "X" (-> $$unsorted Bool))) % 150.91/151.35 (define @t40 () (lambda (@list @t39 @t38 @t36) (= (_ @t39 @t36) (_ @t38 @t36)))) % 150.91/151.35 (define @t41 () (@var "Phi" (-> $$unsorted Bool))) % 150.91/151.35 (define @t42 () (_ @t41 @t36)) % 150.91/151.35 (define @t43 () (not @t42)) % 150.91/151.35 (define @t44 () (@list @t41 @t36)) % 150.91/151.35 (define @t45 () (lambda @t44 @t43)) % 150.91/151.35 (define @t46 () (@var "Psi" (-> $$unsorted Bool))) % 150.91/151.35 (define @t47 () (_ @t46 @t36)) % 150.91/151.35 (define @t48 () (lambda (@list @t41 @t46 @t36) (or @t42 @t47))) % 150.91/151.35 (define @t49 () (_ tptp.mnot @t46)) % 150.91/151.35 (define @t50 () (_ tptp.mnot @t41)) % 150.91/151.35 (define @t51 () (_ tptp.mor @t50)) % 150.91/151.35 (define @t52 () (@list @t41 @t46 @t6)) % 150.91/151.35 (define @t53 () (lambda @t52 (_ (_ tptp.mnot (_ @t51 @t49)) @t6))) % 150.91/151.35 (define @t54 () (lambda @t52 (_ (_ @t51 @t46) @t6))) % 150.91/151.35 (define @t55 () (lambda @t52 (_ (_ (_ tptp.mor @t49) @t41) @t6))) % 150.91/151.35 (define @t56 () (lambda @t52 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t41) @t46)) (_ (_ tptp.mimplies @t46) @t41)) @t6))) % 150.91/151.35 (define @t57 () (lambda @t52 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t41) @t46)) @t6))) % 150.91/151.35 (define @t58 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 150.91/151.35 (define @t59 () (_ @t58 @t7)) % 150.91/151.35 (define @t60 () (_ @t59 @t36)) % 150.91/151.35 (define @t61 () (@list @t7)) % 150.91/151.35 (define @t62 () (forall @t61 @t60)) % 150.91/151.35 (define @t63 () (@list @t58 @t36)) % 150.91/151.35 (define @t64 () (lambda @t63 @t62)) % 150.91/151.35 (define @t65 () (@var "P" (-> $$unsorted Bool))) % 150.91/151.35 (define @t66 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 150.91/151.35 (define @t67 () (_ @t66 @t65)) % 150.91/151.35 (define @t68 () (lambda (@list @t66 @t36) (forall (@list @t65) (_ @t67 @t36)))) % 150.91/151.35 (define @t69 () (lambda @t12 (_ (_ tptp.mnot @t59) @t6))) % 150.91/151.35 (define @t70 () (@list @t58 @t6)) % 150.91/151.35 (define @t71 () (lambda @t70 (_ (_ tptp.mnot (_ tptp.mforall_ind @t69)) @t6))) % 150.91/151.35 (define @t72 () (lambda (@list @t66 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t65 @t6) (_ (_ tptp.mnot @t67) @t6)))) @t6))) % 150.91/151.35 (define @t73 () (@list @t36)) % 150.91/151.35 (define @t74 () (lambda @t73 true)) % 150.91/151.35 (define @t75 () (@var "V" $$unsorted)) % 150.91/151.35 (define @t76 () (_ @t41 @t75)) % 150.91/151.35 (define @t77 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 150.91/151.35 (define @t78 () (_ (_ @t77 @t36) @t75)) % 150.91/151.35 (define @t79 () (not @t78)) % 150.91/151.35 (define @t80 () (or @t79 @t76)) % 150.91/151.35 (define @t81 () (@list @t75)) % 150.91/151.35 (define @t82 () (forall @t81 @t80)) % 150.91/151.35 (define @t83 () (@list @t77 @t41 @t36)) % 150.91/151.35 (define @t84 () (lambda @t83 @t82)) % 150.91/151.35 (define @t85 () (lambda (@list @t77 @t41 @t6) (_ (_ tptp.mnot (_ (_ tptp.mbox @t77) @t50)) @t6))) % 150.91/151.35 (define @t86 () (@var "S" $$unsorted)) % 150.91/151.35 (define @t87 () (_ @t77 @t86)) % 150.91/151.35 (define @t88 () (@list @t86)) % 150.91/151.35 (define @t89 () (@list @t77)) % 150.91/151.35 (define @t90 () (lambda @t89 (forall @t88 (_ @t87 @t86)))) % 150.91/151.35 (define @t91 () (@var "T" $$unsorted)) % 150.91/151.35 (define @t92 () (_ @t77 @t91)) % 150.91/151.35 (define @t93 () (_ @t92 @t86)) % 150.91/151.35 (define @t94 () (_ @t87 @t91)) % 150.91/151.35 (define @t95 () (@list @t86 @t91)) % 150.91/151.35 (define @t96 () (forall @t95 (=> @t94 @t93))) % 150.91/151.35 (define @t97 () (lambda @t89 @t96)) % 150.91/151.35 (define @t98 () (@list @t91)) % 150.91/151.35 (define @t99 () (lambda @t89 (forall @t88 (exists @t98 @t94)))) % 150.91/151.35 (define @t100 () (@var "U" $$unsorted)) % 150.91/151.35 (define @t101 () (_ @t87 @t100)) % 150.91/151.35 (define @t102 () (_ @t92 @t100)) % 150.91/151.35 (define @t103 () (@list @t86 @t91 @t100)) % 150.91/151.35 (define @t104 () (lambda @t89 (forall @t103 (=> (and @t94 @t102) @t101)))) % 150.91/151.35 (define @t105 () (and @t94 @t101)) % 150.91/151.35 (define @t106 () (lambda @t89 (forall @t103 (=> @t105 @t102)))) % 150.91/151.35 (define @t107 () (= @t91 @t100)) % 150.91/151.35 (define @t108 () (lambda @t89 (forall @t103 (=> @t105 @t107)))) % 150.91/151.35 (define @t109 () (@list @t100)) % 150.91/151.35 (define @t110 () (lambda @t89 (forall @t88 (exists @t98 (and @t94 (forall @t109 (=> @t101 @t107))))))) % 150.91/151.35 (define @t111 () (_ @t77 @t100)) % 150.91/151.35 (define @t112 () (_ @t111 @t91)) % 150.91/151.35 (define @t113 () (lambda @t89 (forall @t103 (=> @t94 (exists @t109 (and @t101 @t112)))))) % 150.91/151.35 (define @t114 () (lambda @t89 (forall @t103 (=> @t105 (or @t102 @t107 @t112))))) % 150.91/151.35 (define @t115 () (lambda @t89 (forall @t103 (=> @t105 (exists @t81 (and (_ @t92 @t75) (_ @t111 @t75))))))) % 150.91/151.35 (define @t116 () (forall @t73 @t42)) % 150.91/151.35 (define @t117 () (@list @t41)) % 150.91/151.35 (define @t118 () (lambda @t117 @t116)) % 150.91/151.35 (define @t119 () (lambda @t117 (forall @t73 @t43))) % 150.91/151.35 (define @t120 () (lambda @t117 (exists @t73 @t42))) % 150.91/151.35 (define @t121 () (lambda @t117 (exists @t73 @t43))) % 150.91/151.35 (define @t122 () (@var "Y" $$unsorted)) % 150.91/151.35 (define @t123 () (@var "X" $$unsorted)) % 150.91/151.35 (define @t124 () (@var "R2" (-> $$unsorted $$unsorted Bool))) % 150.91/151.35 (define @t125 () (@var "R1" (-> $$unsorted $$unsorted Bool))) % 150.91/151.35 (define @t126 () (@list @t125 @t124)) % 150.91/151.35 (define @t127 () (lambda @t126 (forall (@list @t123 @t122) (=> (_ (_ @t125 @t123) @t122) (_ (_ @t124 @t123) @t122))))) % 150.91/151.35 (define @t128 () (_ (_ @t124 @t100) @t36)) % 150.91/151.35 (define @t129 () (_ (_ @t124 @t75) @t36)) % 150.91/151.35 (define @t130 () (_ (_ @t125 @t100) @t75)) % 150.91/151.35 (define @t131 () (and @t130 @t129)) % 150.91/151.35 (define @t132 () (@list @t100 @t75 @t36)) % 150.91/151.35 (define @t133 () (forall @t132 (=> @t131 @t128))) % 150.91/151.35 (define @t134 () (lambda @t126 @t133)) % 150.91/151.35 (define @t135 () (@const 0 (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)))) % 150.91/151.35 (define @t136 () (@const 1 (-> (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> tptp.mu $$unsorted Bool))))) % 150.91/151.35 (define @t137 () (_ @t136 @t135 @t7)) % 150.91/151.35 (define @t138 () (@const 2 (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> $$unsorted Bool))))) % 150.91/151.35 (define @t139 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.91/151.35 (define @t140 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.91/151.35 (define @t141 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.91/151.35 (define @t142 () (not (_ @t139 (_ @t141 @t140 @t36) @t75))) % 150.91/151.35 (define @t143 () (@list @t36 @t7 @t75)) % 150.91/151.35 (define @t144 () (forall @t143 (or @t142 (not (_ @t139 (_ @t138 @t137 tptp.pepsi) @t75)) (_ @t139 (_ @t138 @t137 tptp.cola) @t75)))) % 150.91/151.35 (define @t145 () (tptp.likes @t7 tptp.cola @t75)) % 150.91/151.35 (define @t146 () (tptp.likes @t7 tptp.pepsi @t75)) % 150.91/151.35 (define @t147 () (not @t146)) % 150.91/151.35 (define @t148 () (not (tptp.a2 @t36 @t75))) % 150.91/151.35 (define @t149 () (or @t148 @t147 @t145)) % 150.91/151.35 (define @t150 () (forall @t143 @t149)) % 150.91/151.35 (define @t151 () (forall (@list @t7 @t75) @t149)) % 150.91/151.35 (define @t152 () (lambda @t73 @t151)) % 150.91/151.35 (define @t153 () (_ @t152 @t36)) % 150.91/151.35 (define @t154 () (forall @t73 @t153)) % 150.91/151.35 (define @t155 () (_ @t41 @t36)) % 150.91/151.35 (define @t156 () (lambda @t117 (forall @t73 @t155))) % 150.91/151.35 (define @t157 () (forall @t81 @t149)) % 150.91/151.35 (define @t158 () (not (tptp.a2 @t6 @t75))) % 150.91/151.35 (define @t159 () (forall @t81 (or @t158 @t147 @t145))) % 150.91/151.35 (define @t160 () (lambda @t12 @t159)) % 150.91/151.35 (define @t161 () (_ @t160 @t7 @t36)) % 150.91/151.35 (define @t162 () (forall @t61 @t161)) % 150.91/151.35 (define @t163 () (lambda @t73 @t162)) % 150.91/151.35 (define @t164 () (_ @t58 @t7 @t36)) % 150.91/151.35 (define @t165 () (forall @t61 @t164)) % 150.91/151.35 (define @t166 () (lambda @t63 @t165)) % 150.91/151.35 (define @t167 () (_ @t9 @t75)) % 150.91/151.35 (define @t168 () (_ @t10 @t75)) % 150.91/151.35 (define @t169 () (not @t168)) % 150.91/151.35 (define @t170 () (or @t148 @t169 @t167)) % 150.91/151.35 (define @t171 () (or @t169 @t167)) % 150.91/151.35 (define @t172 () (not (_ @t10 @t6))) % 150.91/151.35 (define @t173 () (@list @t6)) % 150.91/151.35 (define @t174 () (lambda @t173 (or @t172 (_ @t9 @t6)))) % 150.91/151.35 (define @t175 () (_ @t174 @t75)) % 150.91/151.35 (define @t176 () (or @t148 @t175)) % 150.91/151.35 (define @t177 () (forall @t81 @t176)) % 150.91/151.35 (define @t178 () (lambda @t73 @t177)) % 150.91/151.35 (define @t179 () (_ @t41 @t75)) % 150.91/151.35 (define @t180 () (lambda @t44 (forall @t81 (or @t148 @t179)))) % 150.91/151.35 (define @t181 () (_ @t46 @t6)) % 150.91/151.35 (define @t182 () (@list @t46 @t6)) % 150.91/151.35 (define @t183 () (lambda @t182 (or @t172 @t181))) % 150.91/151.35 (define @t184 () (not (_ @t41 @t6))) % 150.91/151.35 (define @t185 () (or @t184 @t181)) % 150.91/151.35 (define @t186 () (lambda @t52 @t185)) % 150.91/151.35 (define @t187 () (_ @t186 @t10)) % 150.91/151.35 (define @t188 () (_ @t77 @t36 @t75)) % 150.91/151.35 (define @t189 () (lambda @t83 (forall @t81 (or (not @t188) @t179)))) % 150.91/151.35 (define @t190 () (_ @t189 tptp.a2)) % 150.91/151.35 (define @t191 () (or @t43 @t47)) % 150.91/151.35 (define @t192 () (lambda @t73 @t191)) % 150.91/151.35 (define @t193 () (@list @t46 @t36)) % 150.91/151.35 (define @t194 () (lambda @t193 @t191)) % 150.91/151.35 (define @t195 () (lambda @t73 @t43)) % 150.91/151.35 (define @t196 () (_ @t195 @t36)) % 150.91/151.35 (define @t197 () (or @t196 @t47)) % 150.91/151.35 (define @t198 () (lambda @t193 @t197)) % 150.91/151.35 (define @t199 () (_ @t136 @t135 tptp.jan)) % 150.91/151.35 (define @t200 () (_ @t138 @t199 tptp.pepsi)) % 150.91/151.35 (define @t201 () (@list @t36 @t75)) % 150.91/151.35 (define @t202 () (tptp.likes tptp.jan tptp.pepsi @t75)) % 150.91/151.35 (define @t203 () (or @t148 @t202)) % 150.91/151.35 (define @t204 () (forall @t201 @t203)) % 150.91/151.35 (define @t205 () (forall @t81 @t203)) % 150.91/151.35 (define @t206 () (lambda @t73 @t205)) % 150.91/151.35 (define @t207 () (_ @t206 @t36)) % 150.91/151.35 (define @t208 () (forall @t73 @t207)) % 150.91/151.35 (define @t209 () (_ @t13 @t75)) % 150.91/151.35 (define @t210 () (or @t148 @t209)) % 150.91/151.35 (define @t211 () (_ @t13 @t75)) % 150.91/151.35 (define @t212 () (or @t148 @t211)) % 150.91/151.35 (define @t213 () (forall @t81 @t212)) % 150.91/151.35 (define @t214 () (lambda @t73 @t213)) % 150.91/151.35 (define @t215 () (@var "BOUND_VARIABLE_9149" $$unsorted)) % 150.91/151.35 (define @t216 () (_ @t138 @t199 tptp.cola)) % 150.91/151.35 (define @t217 () (@var "BOUND_VARIABLE_9878" tptp.mu)) % 150.91/151.35 (define @t218 () (@const 6 (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)))) % 150.91/151.35 (define @t219 () (_ @t136 @t218 @t7)) % 150.91/151.35 (define @t220 () (_ @t138 @t219 @t217)) % 150.91/151.35 (define @t221 () (@list @t7 @t217)) % 150.91/151.35 (define @t222 () (forall @t73 (not (forall @t221 (not (_ @t139 @t220 @t36)))))) % 150.91/151.35 (define @t223 () (@quantifiers_skolemize @t222 0)) % 150.91/151.35 (define @t224 () (_ @t141 @t140 @t223)) % 150.91/151.35 (define @t225 () (@list @t215)) % 150.91/151.35 (define @t226 () (forall @t225 (or (not (_ @t139 @t224 @t215)) (_ @t139 @t216 @t215)))) % 150.91/151.35 (define @t227 () (@quantifiers_skolemize @t226 0)) % 150.91/151.35 (define @t228 () (@var "BOUND_VARIABLE_9197" tptp.mu)) % 150.91/151.35 (define @t229 () (_ @t138 @t137 @t228)) % 150.91/151.35 (define @t230 () (@var "BOUND_VARIABLE_9158" $$unsorted)) % 150.91/151.35 (define @t231 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.91/151.35 (define @t232 () (@list @t230)) % 150.91/151.35 (define @t233 () (@const 8 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.91/151.35 (define @t234 () (not (_ @t139 (_ @t141 @t233 @t36) @t75))) % 150.91/151.35 (define @t235 () (@list @t36 @t7 @t228 @t75)) % 150.91/151.35 (define @t236 () (not (tptp.a2 @t75 @t215))) % 150.91/151.35 (define @t237 () (not (forall @t225 (or @t236 (tptp.likes @t7 @t228 @t215))))) % 150.91/151.35 (define @t238 () (not (tptp.a1 @t75 @t230))) % 150.91/151.35 (define @t239 () (not (forall @t232 (or @t238 (tptp.likes @t7 @t228 @t230))))) % 150.91/151.35 (define @t240 () (not (tptp.likes @t7 @t228 @t75))) % 150.91/151.35 (define @t241 () (tptp.very_much_likes @t7 @t228 @t75)) % 150.91/151.35 (define @t242 () (not (tptp.a3 @t36 @t75))) % 150.91/151.35 (define @t243 () (or @t242 @t241 @t240 @t239 @t237)) % 150.91/151.35 (define @t244 () (forall @t235 @t243)) % 150.91/151.35 (define @t245 () (forall (@list @t7 @t228 @t75) @t243)) % 150.91/151.35 (define @t246 () (lambda @t73 @t245)) % 150.91/151.35 (define @t247 () (_ @t246 @t36)) % 150.91/151.35 (define @t248 () (forall @t73 @t247)) % 150.91/151.35 (define @t249 () (@list @t228 @t75)) % 150.91/151.35 (define @t250 () (forall @t249 @t243)) % 150.91/151.35 (define @t251 () (not (tptp.a3 @t6 @t75))) % 150.91/151.35 (define @t252 () (forall @t249 (or @t251 @t241 @t240 @t239 @t237))) % 150.91/151.35 (define @t253 () (lambda @t12 @t252)) % 150.91/151.35 (define @t254 () (_ @t253 @t7 @t36)) % 150.91/151.35 (define @t255 () (forall @t61 @t254)) % 150.91/151.35 (define @t256 () (lambda @t73 @t255)) % 150.91/151.35 (define @t257 () (forall @t81 @t243)) % 150.91/151.35 (define @t258 () (@list @t228)) % 150.91/151.35 (define @t259 () (tptp.likes @t7 @t19 @t215)) % 150.91/151.35 (define @t260 () (not (forall @t225 (or @t236 @t259)))) % 150.91/151.35 (define @t261 () (tptp.likes @t7 @t19 @t230)) % 150.91/151.35 (define @t262 () (not (forall @t232 (or @t238 @t261)))) % 150.91/151.35 (define @t263 () (tptp.likes @t7 @t19 @t75)) % 150.91/151.35 (define @t264 () (not @t263)) % 150.91/151.35 (define @t265 () (tptp.very_much_likes @t7 @t19 @t75)) % 150.91/151.35 (define @t266 () (forall @t81 (or @t251 @t265 @t264 @t262 @t260))) % 150.91/151.35 (define @t267 () (lambda @t23 @t266)) % 150.91/151.35 (define @t268 () (_ @t267 @t228 @t36)) % 150.91/151.35 (define @t269 () (forall @t258 @t268)) % 150.91/151.35 (define @t270 () (lambda @t73 @t269)) % 150.91/151.35 (define @t271 () (@list @t7)) % 150.91/151.35 (define @t272 () (_ @t22 @t75)) % 150.91/151.35 (define @t273 () (not @t272)) % 150.91/151.35 (define @t274 () (_ @t21 @t75)) % 150.91/151.35 (define @t275 () (or @t242 @t274 @t273 @t262 @t260)) % 150.91/151.35 (define @t276 () (or @t274 @t273 @t262 @t260)) % 150.91/151.35 (define @t277 () (not (_ @t22 @t6))) % 150.91/151.35 (define @t278 () (forall @t81 (or @t158 @t263))) % 150.91/151.35 (define @t279 () (@list @t75)) % 150.91/151.35 (define @t280 () (not @t278)) % 150.91/151.35 (define @t281 () (forall @t81 (or (not (tptp.a1 @t6 @t75)) @t263))) % 150.91/151.35 (define @t282 () (not @t281)) % 150.91/151.35 (define @t283 () (or @t32 @t277 @t282 @t280)) % 150.91/151.35 (define @t284 () (lambda @t173 @t283)) % 150.91/151.35 (define @t285 () (or @t242 (_ @t284 @t75))) % 150.91/151.35 (define @t286 () (forall @t81 @t285)) % 150.91/151.35 (define @t287 () (lambda @t73 @t286)) % 150.91/151.35 (define @t288 () (lambda @t44 (forall @t81 (or @t242 @t179)))) % 150.91/151.35 (define @t289 () (or @t181 @t277 @t282 @t280)) % 150.91/151.35 (define @t290 () (or @t277 @t282 @t280)) % 150.91/151.35 (define @t291 () (not @t290)) % 150.91/151.35 (define @t292 () (lambda @t173 @t291)) % 150.91/151.35 (define @t293 () (_ @t292 @t6)) % 150.91/151.35 (define @t294 () (not @t293)) % 150.91/151.35 (define @t295 () (or @t294 @t181)) % 150.91/151.35 (define @t296 () (lambda @t182 @t295)) % 150.91/151.35 (define @t297 () (or @t282 @t280)) % 150.91/151.35 (define @t298 () (not @t297)) % 150.91/151.35 (define @t299 () (lambda @t173 @t298)) % 150.91/151.35 (define @t300 () (_ @t299 @t6)) % 150.91/151.35 (define @t301 () (not @t300)) % 150.91/151.35 (define @t302 () (or @t277 @t301)) % 150.91/151.35 (define @t303 () (not @t302)) % 150.91/151.35 (define @t304 () (lambda @t173 @t303)) % 150.91/151.35 (define @t305 () (not @t181)) % 150.91/151.35 (define @t306 () (lambda @t182 (not (or @t277 @t305)))) % 150.91/151.35 (define @t307 () (lambda @t73 (forall @t81 (or @t148 @t263)))) % 150.91/151.35 (define @t308 () (_ @t307 @t6)) % 150.91/151.35 (define @t309 () (not @t308)) % 150.91/151.35 (define @t310 () (or @t282 @t309)) % 150.91/151.35 (define @t311 () (not @t310)) % 150.91/151.35 (define @t312 () (lambda @t173 @t311)) % 150.91/151.35 (define @t313 () (or @t148 @t272)) % 150.91/151.35 (define @t314 () (_ @t22 @t75)) % 150.91/151.35 (define @t315 () (or @t148 @t314)) % 150.91/151.35 (define @t316 () (forall @t81 @t315)) % 150.91/151.35 (define @t317 () (lambda @t73 @t316)) % 150.91/151.35 (define @t318 () (not (tptp.a1 @t36 @t75))) % 150.91/151.35 (define @t319 () (lambda @t73 (forall @t81 (or @t318 @t263)))) % 150.91/151.35 (define @t320 () (_ @t319 @t6)) % 150.91/151.35 (define @t321 () (not @t320)) % 150.91/151.35 (define @t322 () (or @t321 @t305)) % 150.91/151.35 (define @t323 () (not @t322)) % 150.91/151.35 (define @t324 () (lambda @t182 @t323)) % 150.91/151.35 (define @t325 () (not (or @t184 @t305))) % 150.91/151.35 (define @t326 () (lambda @t52 @t325)) % 150.91/151.35 (define @t327 () (or @t318 @t272)) % 150.91/151.35 (define @t328 () (or @t318 @t314)) % 150.91/151.35 (define @t329 () (forall @t81 @t328)) % 150.91/151.35 (define @t330 () (lambda @t73 @t329)) % 150.91/151.35 (define @t331 () (lambda @t44 (forall @t81 (or @t318 @t179)))) % 150.91/151.35 (define @t332 () (_ @t189 tptp.a1)) % 150.91/151.35 (define @t333 () (_ @t326 @t22)) % 150.91/151.35 (define @t334 () (_ @t189 tptp.a3)) % 150.91/151.35 (define @t335 () (lambda @t23 (_ (_ @t334 (_ (_ @t186 (_ @t333 (_ (_ @t326 (_ @t332 @t22)) (_ @t190 @t22)))) @t21)) @t6))) % 150.91/151.35 (define @t336 () (not @t47)) % 150.91/151.35 (define @t337 () (or @t43 @t336)) % 150.91/151.35 (define @t338 () (lambda @t73 @t337)) % 150.91/151.35 (define @t339 () (_ @t338 @t36)) % 150.91/151.35 (define @t340 () (not @t339)) % 150.91/151.35 (define @t341 () (lambda @t73 @t340)) % 150.91/151.35 (define @t342 () (lambda @t73 @t336)) % 150.91/151.35 (define @t343 () (_ @t342 @t36)) % 150.91/151.35 (define @t344 () (or @t43 @t343)) % 150.91/151.35 (define @t345 () (lambda @t73 @t344)) % 150.91/151.35 (define @t346 () (_ @t139 @t216 @t75)) % 150.91/151.35 (define @t347 () (tptp.likes tptp.jan tptp.cola @t75)) % 150.91/151.35 (define @t348 () (or @t318 @t347)) % 150.91/151.35 (define @t349 () (forall @t201 @t348)) % 150.91/151.35 (define @t350 () (forall @t81 @t348)) % 150.91/151.35 (define @t351 () (lambda @t73 @t350)) % 150.91/151.35 (define @t352 () (_ @t351 @t36)) % 150.91/151.35 (define @t353 () (forall @t73 @t352)) % 150.91/151.35 (define @t354 () (_ @t2 @t75)) % 150.91/151.35 (define @t355 () (or @t318 @t354)) % 150.91/151.35 (define @t356 () (_ @t2 @t75)) % 150.91/151.35 (define @t357 () (or @t318 @t356)) % 150.91/151.35 (define @t358 () (forall @t81 @t357)) % 150.91/151.35 (define @t359 () (lambda @t73 @t358)) % 150.91/151.35 (define @t360 () (_ @t141 @t231 @t223)) % 150.91/151.35 (define @t361 () (forall @t232 (or (not (_ @t139 @t360 @t230)) (_ @t139 @t216 @t230)))) % 150.91/151.35 (define @t362 () (@quantifiers_skolemize @t361 0)) % 150.91/151.35 (define @t363 () (or (not (_ @t139 @t360 @t362)) (_ @t139 @t216 @t362))) % 150.91/151.35 (define @t364 () (not @t363)) % 150.91/151.35 (define @t365 () (not @t361)) % 150.91/151.35 (define @t366 () (not @t222)) % 150.91/151.35 (define @t367 () (not (forall @t221 (not (tptp.very_much_likes @t7 @t217 @t36))))) % 150.91/151.35 (define @t368 () (tptp.very_much_likes @t7 @t217 @t6)) % 150.91/151.35 (define @t369 () (not @t368)) % 150.91/151.35 (define @t370 () (forall @t221 @t369)) % 150.91/151.35 (define @t371 () (lambda @t173 (not @t370))) % 150.91/151.35 (define @t372 () (_ @t371 @t36)) % 150.91/151.35 (define @t373 () (forall @t73 @t372)) % 150.91/151.35 (define @t374 () (@list @t217)) % 150.91/151.35 (define @t375 () (forall @t374 @t369)) % 150.91/151.35 (define @t376 () (not @t375)) % 150.91/151.35 (define @t377 () (lambda @t12 @t376)) % 150.91/151.35 (define @t378 () (_ @t377 @t7 @t6)) % 150.91/151.35 (define @t379 () (not @t378)) % 150.91/151.35 (define @t380 () (forall @t61 @t379)) % 150.91/151.35 (define @t381 () (not @t380)) % 150.91/151.35 (define @t382 () (lambda @t173 @t381)) % 150.91/151.35 (define @t383 () (forall @t61 (not (_ @t58 @t7 @t6)))) % 150.91/151.35 (define @t384 () (not @t383)) % 150.91/151.35 (define @t385 () (lambda @t70 @t384)) % 150.91/151.35 (define @t386 () (_ (_ @t20 @t217) @t6)) % 150.91/151.35 (define @t387 () (not @t386)) % 150.91/151.35 (define @t388 () (_ @t33 @t217 @t6)) % 150.91/151.35 (define @t389 () (not @t388)) % 150.91/151.35 (define @t390 () (forall @t374 @t389)) % 150.91/151.35 (define @t391 () (not @t390)) % 150.91/151.35 (define @t392 () (lambda @t173 @t391)) % 150.91/151.35 (define @t393 () (lambda @t12 (_ (_ @t385 @t33) @t6))) % 150.91/151.35 (define @t394 () (forall @t61 (not @t164))) % 150.91/151.35 (define @t395 () (lambda @t73 @t394)) % 150.91/151.35 (define @t396 () (_ @t395 @t36)) % 150.91/151.35 (define @t397 () (not @t396)) % 150.91/151.35 (define @t398 () (lambda @t73 @t397)) % 150.91/151.35 (define @t399 () (not @t60)) % 150.91/151.35 (define @t400 () (not (_ @t59 @t6))) % 150.91/151.35 (define @t401 () (lambda @t12 @t400)) % 150.91/151.35 (define @t402 () (_ @t401 @t7 @t36)) % 150.91/151.35 (define @t403 () (forall @t61 @t402)) % 150.91/151.35 (define @t404 () (lambda @t73 @t403)) % 150.91/151.35 (define @t405 () (lambda @t73 @t399)) % 150.91/151.35 (define @t406 () (_ @t45 @t59)) % 150.91/151.35 (define @t407 () (forall @t221 (not (_ @t139 @t220 @t223)))) % 150.91/151.35 (define @t408 () (not (not @t407))) % 150.91/151.35 (define @t409 () (@list true)) % 150.91/151.35 (define @t410 () (_ @t141 @t233 @t100)) % 150.91/151.35 (define @t411 () (not (tptp.a3 @t100 @t75))) % 150.91/151.35 (define @t412 () (forall @t132 (or @t411 (not (tptp.a3 @t75 @t36)) (tptp.a3 @t100 @t36)))) % 150.91/151.35 (define @t413 () (_ @t124 @t100 @t36)) % 150.91/151.35 (define @t414 () (_ @t124 @t75 @t36)) % 150.91/151.35 (define @t415 () (not @t414)) % 150.91/151.35 (define @t416 () (lambda (@list @t124) (forall @t132 (or @t411 @t415 @t413)))) % 150.91/151.35 (define @t417 () (_ @t125 @t100 @t75)) % 150.91/151.35 (define @t418 () (not @t129)) % 150.91/151.35 (define @t419 () (not @t130)) % 150.91/151.35 (define @t420 () (or @t419 @t418 @t128)) % 150.91/151.35 (define @t421 () (_ @t138 (_ @t136 @t218 tptp.jan) tptp.cola)) % 150.91/151.35 (define @t422 () (_ @t141 @t233 @t223)) % 150.91/151.35 (define @t423 () (forall @t81 (or (not (_ @t139 @t422 @t75)) (_ @t139 @t421 @t75)))) % 150.91/151.35 (define @t424 () (@quantifiers_skolemize @t423 0)) % 150.91/151.35 (define @t425 () (forall @t95 (or (not (tptp.a3 @t86 @t91)) (tptp.a3 @t91 @t86)))) % 150.91/151.35 (define @t426 () (_ @t77 @t91 @t86)) % 150.91/151.35 (define @t427 () (_ @t77 @t86 @t91)) % 150.91/151.35 (define @t428 () (not @t94)) % 150.91/151.35 (define @t429 () (or @t428 @t93)) % 150.91/151.35 (define @t430 () (@var "BOUND_VARIABLE_9282" tptp.mu)) % 150.91/151.35 (define @t431 () (_ @t138 @t219 @t430)) % 150.91/151.35 (define @t432 () (@list @t36 @t7 @t430)) % 150.91/151.35 (define @t433 () (tptp.very_much_likes @t7 @t430 @t36)) % 150.91/151.35 (define @t434 () (tptp.very_much_likes @t7 @t430 @t75)) % 150.91/151.35 (define @t435 () (not (forall @t81 (or @t242 @t434)))) % 150.91/151.35 (define @t436 () (or @t435 @t433)) % 150.91/151.35 (define @t437 () (forall @t432 @t436)) % 150.91/151.35 (define @t438 () (forall (@list @t7 @t430) @t436)) % 150.91/151.35 (define @t439 () (lambda @t73 @t438)) % 150.91/151.35 (define @t440 () (_ @t439 @t36)) % 150.91/151.35 (define @t441 () (forall @t73 @t440)) % 150.91/151.35 (define @t442 () (@list @t430)) % 150.91/151.35 (define @t443 () (forall @t442 @t436)) % 150.91/151.35 (define @t444 () (forall @t442 (or (not (forall @t81 (or @t251 @t434))) (tptp.very_much_likes @t7 @t430 @t6)))) % 150.91/151.35 (define @t445 () (lambda @t12 @t444)) % 150.91/151.35 (define @t446 () (_ @t445 @t7 @t36)) % 150.91/151.35 (define @t447 () (forall @t61 @t446)) % 150.91/151.35 (define @t448 () (lambda @t73 @t447)) % 150.91/151.35 (define @t449 () (_ (_ @t20 @t430) @t36)) % 150.91/151.35 (define @t450 () (or @t435 @t449)) % 150.91/151.35 (define @t451 () (forall @t81 (or @t251 @t265))) % 150.91/151.35 (define @t452 () (not @t451)) % 150.91/151.35 (define @t453 () (or @t452 @t32)) % 150.91/151.35 (define @t454 () (lambda @t23 @t453)) % 150.91/151.35 (define @t455 () (_ @t454 @t430 @t36)) % 150.91/151.35 (define @t456 () (forall @t442 @t455)) % 150.91/151.35 (define @t457 () (lambda @t73 @t456)) % 150.91/151.35 (define @t458 () (lambda @t173 @t453)) % 150.91/151.35 (define @t459 () (lambda @t73 (forall @t81 (or @t242 @t265)))) % 150.91/151.35 (define @t460 () (_ @t459 @t6)) % 150.91/151.35 (define @t461 () (not @t460)) % 150.91/151.35 (define @t462 () (or @t461 @t181)) % 150.91/151.35 (define @t463 () (lambda @t182 @t462)) % 150.91/151.35 (define @t464 () (or @t242 @t274)) % 150.91/151.35 (define @t465 () (_ @t21 @t75)) % 150.91/151.35 (define @t466 () (or @t242 @t465)) % 150.91/151.35 (define @t467 () (forall @t81 @t466)) % 150.91/151.35 (define @t468 () (lambda @t73 @t467)) % 150.91/151.35 (define @t469 () (lambda @t23 (_ (_ (_ @t186 (_ @t334 @t21)) @t21) @t6))) % 150.91/151.35 (define @t470 () (_ @t139 @t421 @t223)) % 150.91/151.35 (define @t471 () (not @t423)) % 150.91/151.35 (define @t472 () (or @t471 @t470)) % 150.91/151.35 (define @t473 () (@list true false)) % 150.91/151.35 (define @t474 () (_ @t139 @t422 @t424)) % 150.91/151.35 (define @t475 () (not @t474)) % 150.91/151.35 (define @t476 () (or @t475 (_ @t139 @t421 @t424))) % 150.91/151.35 (define @t477 () (_ @t139 (_ @t141 @t233 @t424) @t223)) % 150.91/151.35 (define @t478 () (or @t475 @t477)) % 150.91/151.35 (define @t479 () (@list false false)) % 150.91/151.35 (define @t480 () (_ @t139 @t422 @t223)) % 150.91/151.35 (define @t481 () (not @t477)) % 150.91/151.35 (define @t482 () (or @t475 @t481 @t480)) % 150.91/151.35 (define @t483 () (or @t242 @t347)) % 150.91/151.35 (define @t484 () (forall @t201 @t483)) % 150.91/151.35 (define @t485 () (forall @t81 @t483)) % 150.91/151.35 (define @t486 () (lambda @t73 @t485)) % 150.91/151.35 (define @t487 () (_ @t486 @t36)) % 150.91/151.35 (define @t488 () (forall @t73 @t487)) % 150.91/151.35 (define @t489 () (or @t242 @t354)) % 150.91/151.35 (define @t490 () (or @t242 @t356)) % 150.91/151.35 (define @t491 () (forall @t81 @t490)) % 150.91/151.35 (define @t492 () (lambda @t73 @t491)) % 150.91/151.35 (define @t493 () (_ @t139 @t216 @t223)) % 150.91/151.35 (define @t494 () (not @t480)) % 150.91/151.35 (define @t495 () (or @t494 @t493)) % 150.91/151.35 (define @t496 () (not @t226)) % 150.91/151.35 (define @t497 () (not @t493)) % 150.91/151.35 (define @t498 () (or @t494 @t470 @t497 @t365 @t496)) % 150.91/151.35 (define @t499 () (_ @t139 @t216 @t227)) % 150.91/151.35 (define @t500 () (_ @t139 @t224 @t227)) % 150.91/151.35 (define @t501 () (not @t500)) % 150.91/151.35 (define @t502 () (or @t501 @t499)) % 150.91/151.35 (define @t503 () (not @t502)) % 150.91/151.35 (define @t504 () (@list @t502)) % 150.91/151.35 (define @t505 () (_ @t139 @t200 @t227)) % 150.91/151.35 (define @t506 () (or @t501 @t505)) % 150.91/151.35 (define @t507 () (not @t505)) % 150.91/151.35 (define @t508 () (or @t501 @t507 @t499)) % 150.91/151.35 (define @t509 () (not @t508)) % 150.91/151.35 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 150.91/151.35 (assume @p2 (_ tptp.mvalid (_ @t3 @t2))) % 150.91/151.35 (assume @p3 (_ tptp.mvalid (_ @t3 @t5))) % 150.91/151.35 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t10)) @t9)) @t6))))) % 150.91/151.35 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t9)) @t10)) @t6))))) % 150.91/151.35 (assume @p6 (_ tptp.mvalid (_ @t14 @t13))) % 150.91/151.35 (assume @p7 (_ tptp.mvalid (_ @t3 (_ @t4 tptp.cola)))) % 150.91/151.35 (assume @p8 (_ tptp.mvalid (_ @t3 @t15))) % 150.91/151.35 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind @t16))) % 150.91/151.35 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t14 (_ (_ tptp.mimplies @t9) @t10)) @t6))))) % 150.91/151.35 (assume @p11 (_ tptp.mvalid (_ @t17 @t2))) % 150.91/151.35 (assume @p12 (_ tptp.mvalid (_ @t18 @t5))) % 150.91/151.35 (assume @p13 (_ tptp.mvalid (_ @t11 @t15))) % 150.91/151.35 (assume @p14 (_ tptp.mvalid (_ tptp.mforall_ind @t25))) % 150.91/151.35 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind @t27))) % 150.91/151.35 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t18 @t21)) @t22) @t6))) @t6))))) % 150.91/151.35 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t11 @t22)) @t28) @t6))) @t6))))) % 150.91/151.35 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ (_ tptp.mdia tptp.a2) @t22)) @t28) @t6))) @t6))))) % 150.91/151.35 (assume @p19 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t18 @t22)) @t28) @t6))) @t6))))) % 150.91/151.35 (assume @p20 (_ tptp.msymmetric tptp.a1)) % 150.91/151.35 (assume @p21 (_ tptp.msymmetric tptp.a2)) % 150.91/151.35 (assume @p22 (_ tptp.msymmetric tptp.a3)) % 150.91/151.35 (assume @p23 (_ tptp.mserial tptp.a1)) % 150.91/151.35 (assume @p24 (_ tptp.mserial tptp.a2)) % 150.91/151.35 (assume @p25 (_ tptp.mserial tptp.a3)) % 150.91/151.35 (assume @p26 (_ @t29 tptp.a2)) % 150.91/151.35 (assume @p27 (_ @t29 tptp.a3)) % 150.91/151.35 (assume @p28 (_ (_ tptp.subrel tptp.a2) tptp.a3)) % 150.91/151.35 (assume @p29 (_ @t30 tptp.a1)) % 150.91/151.35 (assume @p30 (_ @t30 tptp.a2)) % 150.91/151.35 (assume @p31 (_ @t30 tptp.a3)) % 150.91/151.35 (assume @p32 (_ @t31 tptp.a1)) % 150.91/151.35 (assume @p33 (_ @t31 tptp.a2)) % 150.91/151.35 (assume @p34 (_ @t31 tptp.a3)) % 150.91/151.35 (assume @p35 (_ (_ tptp.cond4s tptp.a3) tptp.a3)) % 150.91/151.35 (assume @p36 (_ tptp.meuclidean tptp.a1)) % 150.91/151.35 (assume @p37 (_ tptp.meuclidean tptp.a2)) % 150.91/151.35 (assume @p38 (_ tptp.meuclidean tptp.a3)) % 150.91/151.35 (assume @p39 @t35) % 150.91/151.35 (assume @p40 true) % 150.91/151.35 (step @p41 (= tptp.meq_ind @t37) :rule refl :args (@t37)) % 150.91/151.35 (step @p42 (= tptp.meq_prop @t40) :rule refl :args (@t40)) % 150.91/151.35 (step @p43 (= tptp.mnot @t45) :rule refl :args (@t45)) % 150.91/151.35 (step @p44 (= tptp.mor @t48) :rule refl :args (@t48)) % 150.91/151.35 (step @p45 (= tptp.mand @t53) :rule refl :args (@t53)) % 150.91/151.35 (step @p46 (= tptp.mimplies @t54) :rule refl :args (@t54)) % 150.91/151.35 (step @p47 (= tptp.mimplied @t55) :rule refl :args (@t55)) % 150.91/151.35 (step @p48 (= tptp.mequiv @t56) :rule refl :args (@t56)) % 150.91/151.35 (step @p49 (= tptp.mxor @t57) :rule refl :args (@t57)) % 150.91/151.35 (step @p50 (= tptp.mforall_ind @t64) :rule refl :args (@t64)) % 150.91/151.35 (step @p51 (= tptp.mforall_prop @t68) :rule refl :args (@t68)) % 150.91/151.35 (step @p52 (= tptp.mexists_ind @t71) :rule refl :args (@t71)) % 150.91/151.35 (step @p53 (= tptp.mexists_prop @t72) :rule refl :args (@t72)) % 150.91/151.35 (step @p54 (= tptp.mtrue @t74) :rule refl :args (@t74)) % 150.91/151.35 (step @p55 (= tptp.mbox @t84) :rule refl :args (@t84)) % 150.91/151.35 (step @p56 (= tptp.mdia @t85) :rule refl :args (@t85)) % 150.91/151.35 (step @p57 (= tptp.mreflexive @t90) :rule refl :args (@t90)) % 150.91/151.35 (step @p58 (= tptp.msymmetric @t97) :rule refl :args (@t97)) % 150.91/151.35 (step @p59 (= tptp.mserial @t99) :rule refl :args (@t99)) % 150.91/151.35 (step @p60 (= tptp.mtransitive @t104) :rule refl :args (@t104)) % 150.91/151.35 (step @p61 (= tptp.meuclidean @t106) :rule refl :args (@t106)) % 150.91/151.35 (step @p62 (= tptp.mpartially_functional @t108) :rule refl :args (@t108)) % 150.91/151.35 (step @p63 (= tptp.mfunctional @t110) :rule refl :args (@t110)) % 150.91/151.35 (step @p64 (= tptp.mweakly_dense @t113) :rule refl :args (@t113)) % 150.91/151.35 (step @p65 (= tptp.mweakly_connected @t114) :rule refl :args (@t114)) % 150.91/151.35 (step @p66 (= tptp.mweakly_directed @t115) :rule refl :args (@t115)) % 150.91/151.35 (step @p67 (= tptp.mvalid @t118) :rule refl :args (@t118)) % 150.91/151.35 (step @p68 (= tptp.minvalid @t119) :rule refl :args (@t119)) % 150.91/151.35 (step @p69 (= tptp.msatisfiable @t120) :rule refl :args (@t120)) % 150.91/151.35 (step @p70 (= tptp.mcountersatisfiable @t121) :rule refl :args (@t121)) % 150.91/151.35 (step @p71 (= tptp.subrel @t127) :rule refl :args (@t127)) % 150.91/151.35 (step @p72 (= tptp.cond4s @t134) :rule refl :args (@t134)) % 150.91/151.35 ; WARNING: add trust step for TRUST % 150.91/151.35 ; trust TRUST PREPROCESS_HO_ELIM % 150.91/151.35 (step @p73 :rule trust :premises () :args ((= @t150 @t144))) % 150.91/151.35 (step @p74 :rule quant-merge-prenex :args ((= (forall @t73 @t151) @t150))) % 150.91/151.35 (step @p75 :rule beta-reduce :args ((= @t153 @t151))) % 150.91/151.35 (step @p76 :rule cong :premises (@p75) :args (@t154)) % 150.91/151.35 (step @p77 :rule trans :premises (@p76 @p74)) % 150.91/151.35 (step @p78 :rule beta-reduce :args ((= (_ @t156 @t152) @t154))) % 150.91/151.35 (step @p79 :rule trans :premises (@p78 @p77)) % 150.91/151.35 (step @p80 :rule quant-merge-prenex :args ((= (forall @t61 @t157) @t151))) % 150.91/151.35 (step @p81 :rule beta-reduce :args ((= @t161 @t157))) % 150.91/151.35 (step @p82 :rule cong :premises (@p81) :args (@t162)) % 150.91/151.35 (step @p83 :rule trans :premises (@p82 @p80)) % 150.91/151.35 (step @p84 :rule cong :premises (@p83) :args (@t163)) % 150.91/151.35 (step @p85 :rule beta-reduce :args ((= (_ @t166 @t160) @t163))) % 150.91/151.35 (step @p86 :rule trans :premises (@p85 @p84)) % 150.91/151.35 (step @p87 :rule beta-reduce :args ((= (_ (lambda @t73 @t157) @t6) @t159))) % 150.91/151.35 (step @p88 :rule refl :args (@t6)) % 150.91/151.35 (step @p89 :rule refl :args (@t145)) % 150.91/151.35 (step @p90 :rule refl :args (@t167)) % 150.91/151.35 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t167 @t145))) % 150.91/151.35 (step @p92 :rule symm :premises (@p91)) % 150.91/151.35 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 150.91/151.35 (step @p94 :rule refl :args (@t146)) % 150.91/151.35 (step @p95 :rule refl :args (@t168)) % 150.91/151.35 (step @p96 :rule cong :premises (@p95 @p94) :args ((= @t168 @t146))) % 150.91/151.35 (step @p97 :rule symm :premises (@p96)) % 150.91/151.35 (step @p98 :rule eq_resolve :premises (@p95 @p97)) % 150.91/151.35 (step @p99 :rule cong :premises (@p98) :args (@t169)) % 150.91/151.35 (step @p100 :rule refl :args (@t148)) % 150.91/151.35 (step @p101 :rule nary_cong :premises (@p100 @p99 @p93) :args (@t170)) % 150.91/151.35 (step @p102 :rule cong :premises (@p101) :args ((forall @t81 @t170))) % 150.91/151.35 (step @p103 :rule aci_norm :args ((= (or @t148 @t171) @t170))) % 150.91/151.35 (step @p104 :rule beta-reduce :args ((= @t175 @t171))) % 150.91/151.35 (step @p105 :rule refl :args (@t148)) % 150.91/151.35 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t176)) % 150.91/151.35 (step @p107 :rule trans :premises (@p106 @p103)) % 150.91/151.35 (step @p108 :rule cong :premises (@p107) :args (@t177)) % 150.91/151.35 (step @p109 :rule trans :premises (@p108 @p102)) % 150.91/151.35 (step @p110 :rule cong :premises (@p109) :args (@t178)) % 150.91/151.35 (step @p111 :rule beta-reduce :args ((= (_ @t180 @t174) @t178))) % 150.91/151.35 (step @p112 :rule trans :premises (@p111 @p110)) % 150.91/151.35 (step @p113 :rule beta-reduce :args ((= (_ @t183 @t9) @t174))) % 150.91/151.35 (step @p114 :rule refl :args (@t9)) % 150.91/151.35 (step @p115 :rule beta-reduce :args ((= @t187 @t183))) % 150.91/151.35 (step @p116 :rule ho_cong :premises (@p115 @p114)) % 150.91/151.35 (step @p117 :rule trans :premises (@p116 @p113)) % 150.91/151.35 (step @p118 :rule beta-reduce :args ((= @t190 @t180))) % 150.91/151.35 (step @p119 :rule ho_cong :premises (@p118 @p117)) % 150.91/151.35 (step @p120 :rule trans :premises (@p119 @p112)) % 150.91/151.35 (step @p121 :rule ho_cong :premises (@p120 @p88)) % 150.91/151.35 (step @p122 :rule trans :premises (@p121 @p87)) % 150.91/151.35 (step @p123 :rule cong :premises (@p122) :args ((lambda @t12 (_ (_ @t190 (_ @t187 @t9)) @t6)))) % 150.91/151.35 (step @p124 :rule refl :args (@t166)) % 150.91/151.35 (step @p125 :rule ho_cong :premises (@p124 @p123)) % 150.91/151.35 (step @p126 :rule trans :premises (@p125 @p86)) % 150.91/151.35 (step @p127 :rule refl :args (@t156)) % 150.91/151.35 (step @p128 :rule ho_cong :premises (@p127 @p126)) % 150.91/151.35 (step @p129 :rule trans :premises (@p128 @p79)) % 150.91/151.35 (step @p130 :rule refl :args (@t10)) % 150.91/151.35 (step @p131 :rule beta-reduce :args ((= (_ @t192 @t6) @t185))) % 150.91/151.35 (step @p132 :rule beta-reduce :args ((= (_ @t194 @t46) @t192))) % 150.91/151.35 (step @p133 :rule refl :args (@t46)) % 150.91/151.35 (step @p134 :rule refl :args (@t47)) % 150.91/151.35 (step @p135 :rule beta-reduce :args ((= @t196 @t43))) % 150.91/151.35 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t197)) % 150.91/151.35 (step @p137 :rule cong :premises (@p136) :args (@t198)) % 150.91/151.35 (step @p138 :rule beta-reduce :args ((= (_ @t48 @t195) @t198))) % 150.91/151.35 (step @p139 :rule trans :premises (@p138 @p137)) % 150.91/151.35 (step @p140 :rule beta-reduce :args ((= (_ @t45 @t41) @t195))) % 150.91/151.35 (step @p141 :rule refl :args (@t48)) % 150.91/151.35 (step @p142 :rule ho_cong :premises (@p141 @p140)) % 150.91/151.35 (step @p143 :rule trans :premises (@p142 @p139)) % 150.91/151.35 (step @p144 :rule ho_cong :premises (@p143 @p133)) % 150.91/151.35 (step @p145 :rule trans :premises (@p144 @p132)) % 150.91/151.35 (step @p146 :rule ho_cong :premises (@p145 @p88)) % 150.91/151.35 (step @p147 :rule trans :premises (@p146 @p131)) % 150.91/151.35 (step @p148 :rule refl :args (@t41)) % 150.91/151.35 (step @p149 :rule ho_cong :premises (@p43 @p148)) % 150.91/151.35 (step @p150 :rule ho_cong :premises (@p44 @p149)) % 150.91/151.35 (step @p151 :rule ho_cong :premises (@p150 @p133)) % 150.91/151.35 (step @p152 :rule ho_cong :premises (@p151 @p88)) % 150.91/151.35 (step @p153 :rule trans :premises (@p152 @p147)) % 150.91/151.35 (step @p154 :rule cong :premises (@p153) :args (@t54)) % 150.91/151.35 (step @p155 :rule trans :premises (@p46 @p154)) % 150.91/151.35 (step @p156 :rule ho_cong :premises (@p155 @p130)) % 150.91/151.35 (step @p157 :rule ho_cong :premises (@p156 @p114)) % 150.91/151.35 (step @p158 :rule refl :args (tptp.a2)) % 150.91/151.35 (step @p159 :rule refl :args (@t179)) % 150.91/151.35 (step @p160 :rule refl :args (@t76)) % 150.91/151.35 (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t76 @t179))) % 150.91/151.35 (step @p162 :rule symm :premises (@p161)) % 150.91/151.35 (step @p163 :rule eq_resolve :premises (@p160 @p162)) % 150.91/151.35 (step @p164 :rule refl :args (@t188)) % 150.91/151.35 (step @p165 :rule refl :args (@t78)) % 150.91/151.35 (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t78 @t188))) % 150.91/151.35 (step @p167 :rule symm :premises (@p166)) % 150.91/151.35 (step @p168 :rule eq_resolve :premises (@p165 @p167)) % 150.91/151.35 (step @p169 :rule cong :premises (@p168) :args (@t79)) % 150.91/151.35 (step @p170 :rule nary_cong :premises (@p169 @p163) :args (@t80)) % 150.91/151.35 (step @p171 :rule cong :premises (@p170) :args (@t82)) % 150.91/151.35 (step @p172 :rule cong :premises (@p171) :args (@t84)) % 150.91/151.35 (step @p173 :rule trans :premises (@p55 @p172)) % 150.91/151.35 (step @p174 :rule ho_cong :premises (@p173 @p158)) % 150.91/151.35 (step @p175 :rule ho_cong :premises (@p174 @p157)) % 150.91/151.35 (step @p176 :rule ho_cong :premises (@p175 @p88)) % 150.91/151.35 (step @p177 :rule cong :premises (@p176) :args (@t16)) % 150.91/151.35 (step @p178 :rule refl :args (@t164)) % 150.91/151.35 (step @p179 :rule refl :args (@t60)) % 150.91/151.35 (step @p180 :rule cong :premises (@p179 @p178) :args ((= @t60 @t164))) % 150.91/151.35 (step @p181 :rule symm :premises (@p180)) % 150.91/151.35 (step @p182 :rule eq_resolve :premises (@p179 @p181)) % 150.91/151.35 (step @p183 :rule cong :premises (@p182) :args (@t62)) % 150.91/151.35 (step @p184 :rule cong :premises (@p183) :args (@t64)) % 150.91/151.35 (step @p185 :rule trans :premises (@p50 @p184)) % 150.91/151.35 (step @p186 :rule ho_cong :premises (@p185 @p177)) % 150.91/151.35 (step @p187 :rule refl :args (@t155)) % 150.91/151.35 (step @p188 :rule refl :args (@t42)) % 150.91/151.35 (step @p189 :rule cong :premises (@p188 @p187) :args ((= @t42 @t155))) % 150.91/151.35 (step @p190 :rule symm :premises (@p189)) % 150.91/151.35 (step @p191 :rule eq_resolve :premises (@p188 @p190)) % 150.91/151.35 (step @p192 :rule cong :premises (@p191) :args (@t116)) % 150.91/151.35 (step @p193 :rule cong :premises (@p192) :args (@t118)) % 150.91/151.35 (step @p194 :rule trans :premises (@p67 @p193)) % 150.91/151.35 (step @p195 :rule ho_cong :premises (@p194 @p186)) % 150.91/151.35 (step @p196 :rule trans :premises (@p195 @p129)) % 150.91/151.35 (step @p197 :rule trans :premises (@p196 @p73)) % 150.91/151.35 (step @p198 :rule eq_resolve :premises (@p9 @p197)) % 150.91/151.35 ; trust TRUST PREPROCESS_HO_ELIM % 150.91/151.35 (step @p199 :rule trust :premises () :args ((= @t204 (forall @t201 (or @t142 (_ @t139 @t200 @t75)))))) % 150.91/151.35 (step @p200 :rule quant-merge-prenex :args ((= (forall @t73 @t205) @t204))) % 150.91/151.35 (step @p201 :rule beta-reduce :args ((= @t207 @t205))) % 150.91/151.35 (step @p202 :rule cong :premises (@p201) :args (@t208)) % 150.91/151.35 (step @p203 :rule trans :premises (@p202 @p200)) % 150.91/151.35 (step @p204 :rule beta-reduce :args ((= (_ @t156 @t206) @t208))) % 150.91/151.35 (step @p205 :rule trans :premises (@p204 @p203)) % 150.91/151.35 (step @p206 :rule refl :args (@t202)) % 150.91/151.35 (step @p207 :rule refl :args (@t209)) % 150.91/151.35 (step @p208 :rule cong :premises (@p207 @p206) :args ((= @t209 @t202))) % 150.91/151.35 (step @p209 :rule symm :premises (@p208)) % 150.91/151.35 (step @p210 :rule eq_resolve :premises (@p207 @p209)) % 150.91/151.35 (step @p211 :rule nary_cong :premises (@p100 @p210) :args (@t210)) % 150.91/151.35 (step @p212 :rule cong :premises (@p211) :args ((forall @t81 @t210))) % 150.91/151.35 (step @p213 :rule refl :args (@t211)) % 150.91/151.35 (step @p214 :rule nary_cong :premises (@p105 @p213) :args (@t212)) % 150.91/151.35 (step @p215 :rule cong :premises (@p214) :args (@t213)) % 150.91/151.35 (step @p216 :rule trans :premises (@p215 @p212)) % 150.91/151.35 (step @p217 :rule cong :premises (@p216) :args (@t214)) % 150.91/151.35 (step @p218 :rule beta-reduce :args ((= (_ @t180 @t13) @t214))) % 150.91/151.35 (step @p219 :rule trans :premises (@p218 @p217)) % 150.91/151.35 (step @p220 :rule refl :args (@t13)) % 150.91/151.35 (step @p221 :rule ho_cong :premises (@p118 @p220)) % 150.91/151.35 (step @p222 :rule trans :premises (@p221 @p219)) % 150.91/151.35 (step @p223 :rule ho_cong :premises (@p127 @p222)) % 150.91/151.35 (step @p224 :rule trans :premises (@p223 @p205)) % 150.91/151.35 (step @p225 :rule ho_cong :premises (@p174 @p220)) % 150.91/151.35 (step @p226 :rule ho_cong :premises (@p194 @p225)) % 150.91/151.35 (step @p227 :rule trans :premises (@p226 @p224)) % 150.91/151.35 (step @p228 :rule trans :premises (@p227 @p199)) % 150.91/151.35 (step @p229 :rule eq_resolve :premises (@p6 @p228)) % 150.91/151.35 (step @p230 :rule instantiate :premises (@p229) :args ((@list @t223 @t227))) % 150.91/151.35 ; trust TRUST PREPROCESS_HO_ELIM % 150.91/151.35 (step @p231 :rule trust :premises () :args ((= @t244 (forall @t235 (or @t234 (_ @t139 (_ @t138 @t219 @t228) @t75) (not (_ @t139 @t229 @t75)) (not (forall @t232 (or (not (_ @t139 (_ @t141 @t231 @t75) @t230)) (_ @t139 @t229 @t230)))) (not (forall @t225 (or (not (_ @t139 (_ @t141 @t140 @t75) @t215)) (_ @t139 @t229 @t215))))))))) % 150.91/151.35 (step @p232 :rule quant-merge-prenex :args ((= (forall @t73 @t245) @t244))) % 150.91/151.35 (step @p233 :rule beta-reduce :args ((= @t247 @t245))) % 150.91/151.35 (step @p234 :rule cong :premises (@p233) :args (@t248)) % 150.91/151.35 (step @p235 :rule trans :premises (@p234 @p232)) % 150.91/151.35 (step @p236 :rule beta-reduce :args ((= (_ @t156 @t246) @t248))) % 150.91/151.35 (step @p237 :rule trans :premises (@p236 @p235)) % 150.91/151.35 (step @p238 :rule quant-merge-prenex :args ((= (forall @t61 @t250) @t245))) % 150.91/151.35 (step @p239 :rule beta-reduce :args ((= @t254 @t250))) % 150.91/151.35 (step @p240 :rule cong :premises (@p239) :args (@t255)) % 150.91/151.35 (step @p241 :rule trans :premises (@p240 @p238)) % 150.91/151.35 (step @p242 :rule cong :premises (@p241) :args (@t256)) % 150.91/151.35 (step @p243 :rule beta-reduce :args ((= (_ @t166 @t253) @t256))) % 150.91/151.35 (step @p244 :rule trans :premises (@p243 @p242)) % 150.91/151.35 (step @p245 :rule beta-reduce :args ((= (_ (lambda @t73 @t250) @t6) @t252))) % 150.91/151.35 (step @p246 :rule quant-merge-prenex :args ((= (forall @t258 @t257) @t250))) % 150.91/151.35 (step @p247 :rule beta-reduce :args ((= @t268 @t257))) % 150.91/151.35 (step @p248 :rule cong :premises (@p247) :args (@t269)) % 150.91/151.35 (step @p249 :rule trans :premises (@p248 @p246)) % 150.91/151.35 (step @p250 :rule cong :premises (@p249) :args (@t270)) % 150.91/151.35 (step @p251 :rule beta-reduce :args ((= (_ (lambda @t63 (forall @t258 (_ @t58 @t228 @t36))) @t267) @t270))) % 150.91/151.35 (step @p252 :rule trans :premises (@p251 @p250)) % 150.91/151.35 (step @p253 :rule refl :args (@t267)) % 150.91/151.35 (step @p254 :rule alpha_equiv :args (@t165 @t271 (@list @t228))) % 150.91/151.35 (step @p255 :rule cong :premises (@p254) :args (@t166)) % 150.91/151.35 (step @p256 :rule ho_cong :premises (@p255 @p253)) % 150.91/151.35 (step @p257 :rule trans :premises (@p256 @p252)) % 150.91/151.35 (step @p258 :rule beta-reduce :args ((= (_ (lambda @t73 (forall @t81 (or @t242 @t265 @t264 @t262 @t260))) @t6) @t266))) % 150.91/151.35 (step @p259 :rule refl :args (@t260)) % 150.91/151.35 (step @p260 :rule refl :args (@t262)) % 150.91/151.35 (step @p261 :rule refl :args (@t263)) % 150.91/151.35 (step @p262 :rule refl :args (@t272)) % 150.91/151.35 (step @p263 :rule cong :premises (@p262 @p261) :args ((= @t272 @t263))) % 150.91/151.35 (step @p264 :rule symm :premises (@p263)) % 150.91/151.35 (step @p265 :rule eq_resolve :premises (@p262 @p264)) % 150.91/151.35 (step @p266 :rule cong :premises (@p265) :args (@t273)) % 150.91/151.35 (step @p267 :rule refl :args (@t265)) % 150.91/151.35 (step @p268 :rule refl :args (@t274)) % 150.91/151.35 (step @p269 :rule cong :premises (@p268 @p267) :args ((= @t274 @t265))) % 150.91/151.35 (step @p270 :rule symm :premises (@p269)) % 150.91/151.35 (step @p271 :rule eq_resolve :premises (@p268 @p270)) % 150.91/151.35 (step @p272 :rule refl :args (@t242)) % 150.91/151.35 (step @p273 :rule nary_cong :premises (@p272 @p271 @p266 @p260 @p259) :args (@t275)) % 150.91/151.35 (step @p274 :rule cong :premises (@p273) :args ((forall @t81 @t275))) % 150.91/151.35 (step @p275 :rule aci_norm :args ((= (or @t242 @t276) @t275))) % 150.91/151.35 (step @p276 :rule beta-reduce :args ((= (_ (lambda @t173 (or @t32 @t277 (not (forall @t232 (or (not (tptp.a1 @t6 @t230)) @t261))) (not (forall @t225 (or (not (tptp.a2 @t6 @t215)) @t259))))) @t75) @t276))) % 150.91/151.35 (step @p277 :rule refl :args (@t75)) % 150.91/151.35 (step @p278 :rule alpha_equiv :args (@t278 @t279 (@list @t215))) % 150.91/151.35 (step @p279 :rule cong :premises (@p278) :args (@t280)) % 150.91/151.35 (step @p280 :rule alpha_equiv :args (@t281 @t279 (@list @t230))) % 150.91/151.35 (step @p281 :rule cong :premises (@p280) :args (@t282)) % 150.91/151.35 (step @p282 :rule refl :args (@t277)) % 150.91/151.35 (step @p283 :rule refl :args (@t32)) % 150.91/151.35 (step @p284 :rule nary_cong :premises (@p283 @p282 @p281 @p279) :args (@t283)) % 150.91/151.35 (step @p285 :rule cong :premises (@p284) :args (@t284)) % 150.91/151.35 (step @p286 :rule ho_cong :premises (@p285 @p277)) % 150.91/151.35 (step @p287 :rule trans :premises (@p286 @p276)) % 150.91/151.35 (step @p288 :rule refl :args (@t242)) % 150.91/151.35 (step @p289 :rule nary_cong :premises (@p288 @p287) :args (@t285)) % 150.91/151.35 (step @p290 :rule trans :premises (@p289 @p275)) % 150.91/151.35 (step @p291 :rule cong :premises (@p290) :args (@t286)) % 150.91/151.35 (step @p292 :rule trans :premises (@p291 @p274)) % 150.91/151.35 (step @p293 :rule cong :premises (@p292) :args (@t287)) % 150.91/151.35 (step @p294 :rule beta-reduce :args ((= (_ @t288 @t284) @t287))) % 150.91/151.35 (step @p295 :rule trans :premises (@p294 @p293)) % 150.91/151.35 (step @p296 :rule beta-reduce :args ((= (_ (lambda @t182 @t289) @t21) @t284))) % 150.91/151.35 (step @p297 :rule refl :args (@t21)) % 150.91/151.35 (step @p298 :rule aci_norm :args ((= (or @t290 @t181) @t289))) % 150.91/151.35 (step @p299 :rule refl :args (@t181)) % 150.91/151.35 (step @p300 :rule bool-double-not-elim :args (@t290)) % 150.91/151.35 (step @p301 :rule beta-reduce :args ((= @t293 @t291))) % 150.91/151.35 (step @p302 :rule cong :premises (@p301) :args (@t294)) % 150.91/151.35 (step @p303 :rule trans :premises (@p302 @p300)) % 150.91/151.35 (step @p304 :rule nary_cong :premises (@p303 @p299) :args (@t295)) % 150.91/151.35 (step @p305 :rule trans :premises (@p304 @p298)) % 150.91/151.35 (step @p306 :rule cong :premises (@p305) :args (@t296)) % 150.91/151.35 (step @p307 :rule beta-reduce :args ((= (_ @t186 @t292) @t296))) % 150.91/151.35 (step @p308 :rule trans :premises (@p307 @p306)) % 150.91/151.35 (step @p309 :rule aci_norm :args ((= (or @t277 @t297) @t290))) % 150.91/151.35 (step @p310 :rule bool-double-not-elim :args (@t297)) % 150.91/151.35 (step @p311 :rule beta-reduce :args ((= @t300 @t298))) % 150.91/151.35 (step @p312 :rule cong :premises (@p311) :args (@t301)) % 150.91/151.35 (step @p313 :rule trans :premises (@p312 @p310)) % 150.91/151.35 (step @p314 :rule refl :args (@t277)) % 150.91/151.35 (step @p315 :rule nary_cong :premises (@p314 @p313) :args (@t302)) % 150.91/151.35 (step @p316 :rule trans :premises (@p315 @p309)) % 150.91/151.35 (step @p317 :rule cong :premises (@p316) :args (@t303)) % 150.91/151.35 (step @p318 :rule cong :premises (@p317) :args (@t304)) % 150.91/151.35 (step @p319 :rule beta-reduce :args ((= (_ @t306 @t299) @t304))) % 150.91/151.35 (step @p320 :rule trans :premises (@p319 @p318)) % 150.91/151.35 (step @p321 :rule beta-reduce :args ((= @t308 @t278))) % 150.91/151.35 (step @p322 :rule cong :premises (@p321) :args (@t309)) % 150.91/151.35 (step @p323 :rule refl :args (@t282)) % 150.91/151.35 (step @p324 :rule nary_cong :premises (@p323 @p322) :args (@t310)) % 150.91/151.35 (step @p325 :rule cong :premises (@p324) :args (@t311)) % 150.91/151.35 (step @p326 :rule cong :premises (@p325) :args (@t312)) % 150.91/151.35 (step @p327 :rule beta-reduce :args ((= (_ (lambda @t182 (not (or @t282 @t305))) @t307) @t312))) % 150.91/151.35 (step @p328 :rule trans :premises (@p327 @p326)) % 150.91/151.35 (step @p329 :rule nary_cong :premises (@p100 @p265) :args (@t313)) % 150.91/151.35 (step @p330 :rule cong :premises (@p329) :args ((forall @t81 @t313))) % 150.91/151.35 (step @p331 :rule refl :args (@t314)) % 150.91/151.35 (step @p332 :rule nary_cong :premises (@p105 @p331) :args (@t315)) % 150.91/151.35 (step @p333 :rule cong :premises (@p332) :args (@t316)) % 150.91/151.35 (step @p334 :rule trans :premises (@p333 @p330)) % 150.91/151.35 (step @p335 :rule cong :premises (@p334) :args (@t317)) % 150.91/151.35 (step @p336 :rule beta-reduce :args ((= (_ @t180 @t22) @t317))) % 150.91/151.35 (step @p337 :rule trans :premises (@p336 @p335)) % 150.91/151.35 (step @p338 :rule refl :args (@t22)) % 150.91/151.35 (step @p339 :rule ho_cong :premises (@p118 @p338)) % 150.91/151.35 (step @p340 :rule trans :premises (@p339 @p337)) % 150.91/151.35 (step @p341 :rule refl :args (@t305)) % 150.91/151.35 (step @p342 :rule beta-reduce :args ((= @t320 @t281))) % 150.91/151.35 (step @p343 :rule cong :premises (@p342) :args (@t321)) % 150.91/151.35 (step @p344 :rule nary_cong :premises (@p343 @p341) :args (@t322)) % 150.91/151.35 (step @p345 :rule cong :premises (@p344) :args (@t323)) % 150.91/151.35 (step @p346 :rule cong :premises (@p345) :args (@t324)) % 150.91/151.35 (step @p347 :rule beta-reduce :args ((= (_ @t326 @t319) @t324))) % 150.91/151.35 (step @p348 :rule trans :premises (@p347 @p346)) % 150.91/151.35 (step @p349 :rule refl :args (@t318)) % 150.91/151.35 (step @p350 :rule nary_cong :premises (@p349 @p265) :args (@t327)) % 150.91/151.35 (step @p351 :rule cong :premises (@p350) :args ((forall @t81 @t327))) % 150.91/151.35 (step @p352 :rule refl :args (@t318)) % 150.91/151.35 (step @p353 :rule nary_cong :premises (@p352 @p331) :args (@t328)) % 150.91/151.35 (step @p354 :rule cong :premises (@p353) :args (@t329)) % 150.91/151.35 (step @p355 :rule trans :premises (@p354 @p351)) % 150.91/151.35 (step @p356 :rule cong :premises (@p355) :args (@t330)) % 150.91/151.35 (step @p357 :rule beta-reduce :args ((= (_ @t331 @t22) @t330))) % 150.91/151.35 (step @p358 :rule trans :premises (@p357 @p356)) % 150.91/151.35 (step @p359 :rule beta-reduce :args ((= @t332 @t331))) % 150.91/151.35 (step @p360 :rule ho_cong :premises (@p359 @p338)) % 150.91/151.35 (step @p361 :rule trans :premises (@p360 @p358)) % 150.91/151.35 (step @p362 :rule refl :args (@t326)) % 150.91/151.35 (step @p363 :rule ho_cong :premises (@p362 @p361)) % 150.91/151.35 (step @p364 :rule trans :premises (@p363 @p348)) % 150.91/151.35 (step @p365 :rule ho_cong :premises (@p364 @p340)) % 150.91/151.35 (step @p366 :rule trans :premises (@p365 @p328)) % 150.91/151.35 (step @p367 :rule beta-reduce :args ((= @t333 @t306))) % 150.91/151.35 (step @p368 :rule ho_cong :premises (@p367 @p366)) % 150.91/151.35 (step @p369 :rule trans :premises (@p368 @p320)) % 150.91/151.35 (step @p370 :rule refl :args (@t186)) % 150.91/151.35 (step @p371 :rule ho_cong :premises (@p370 @p369)) % 150.91/151.35 (step @p372 :rule trans :premises (@p371 @p308)) % 150.91/151.35 (step @p373 :rule ho_cong :premises (@p372 @p297)) % 150.91/151.35 (step @p374 :rule trans :premises (@p373 @p296)) % 150.91/151.35 (step @p375 :rule beta-reduce :args ((= @t334 @t288))) % 150.91/151.35 (step @p376 :rule ho_cong :premises (@p375 @p374)) % 150.91/151.35 (step @p377 :rule trans :premises (@p376 @p295)) % 150.91/151.35 (step @p378 :rule ho_cong :premises (@p377 @p88)) % 150.91/151.35 (step @p379 :rule trans :premises (@p378 @p258)) % 150.91/151.35 (step @p380 :rule cong :premises (@p379) :args (@t335)) % 150.91/151.35 (step @p381 :rule ho_cong :premises (@p124 @p380)) % 150.91/151.35 (step @p382 :rule trans :premises (@p381 @p257)) % 150.91/151.35 (step @p383 :rule ho_cong :premises (@p382 @p88)) % 150.91/151.35 (step @p384 :rule trans :premises (@p383 @p245)) % 150.91/151.35 (step @p385 :rule cong :premises (@p384) :args ((lambda @t12 (_ (_ @t166 @t335) @t6)))) % 150.91/151.35 (step @p386 :rule ho_cong :premises (@p124 @p385)) % 150.91/151.35 (step @p387 :rule trans :premises (@p386 @p244)) % 150.91/151.35 (step @p388 :rule ho_cong :premises (@p127 @p387)) % 150.91/151.35 (step @p389 :rule trans :premises (@p388 @p237)) % 150.91/151.35 (step @p390 :rule ho_cong :premises (@p174 @p338)) % 150.91/151.35 (step @p391 :rule refl :args (tptp.a1)) % 150.91/151.35 (step @p392 :rule ho_cong :premises (@p173 @p391)) % 150.91/151.35 (step @p393 :rule ho_cong :premises (@p392 @p338)) % 150.91/151.35 (step @p394 :rule beta-reduce :args ((= (_ (lambda @t73 (not @t337)) @t6) @t325))) % 150.91/151.35 (step @p395 :rule beta-reduce :args ((= @t339 @t337))) % 150.91/151.35 (step @p396 :rule cong :premises (@p395) :args (@t340)) % 150.91/151.35 (step @p397 :rule cong :premises (@p396) :args (@t341)) % 150.91/151.35 (step @p398 :rule beta-reduce :args ((= (_ @t45 @t338) @t341))) % 150.91/151.35 (step @p399 :rule trans :premises (@p398 @p397)) % 150.91/151.35 (step @p400 :rule beta-reduce :args ((= @t343 @t336))) % 150.91/151.35 (step @p401 :rule refl :args (@t43)) % 150.91/151.35 (step @p402 :rule nary_cong :premises (@p401 @p400) :args (@t344)) % 150.91/151.35 (step @p403 :rule cong :premises (@p402) :args (@t345)) % 150.91/151.35 (step @p404 :rule beta-reduce :args ((= (_ @t194 @t342) @t345))) % 150.91/151.35 (step @p405 :rule trans :premises (@p404 @p403)) % 150.91/151.35 (step @p406 :rule beta-reduce :args ((= (_ @t45 @t46) @t342))) % 150.91/151.35 (step @p407 :rule ho_cong :premises (@p143 @p406)) % 150.91/151.35 (step @p408 :rule trans :premises (@p407 @p405)) % 150.91/151.35 (step @p409 :rule refl :args (@t45)) % 150.91/151.35 (step @p410 :rule ho_cong :premises (@p409 @p408)) % 150.91/151.35 (step @p411 :rule trans :premises (@p410 @p399)) % 150.91/151.35 (step @p412 :rule ho_cong :premises (@p411 @p88)) % 150.91/151.35 (step @p413 :rule trans :premises (@p412 @p394)) % 150.91/151.35 (step @p414 :rule ho_cong :premises (@p43 @p133)) % 150.91/151.35 (step @p415 :rule ho_cong :premises (@p150 @p414)) % 150.91/151.35 (step @p416 :rule ho_cong :premises (@p43 @p415)) % 150.91/151.35 (step @p417 :rule ho_cong :premises (@p416 @p88)) % 150.91/151.35 (step @p418 :rule trans :premises (@p417 @p413)) % 150.91/151.35 (step @p419 :rule cong :premises (@p418) :args (@t53)) % 150.91/151.35 (step @p420 :rule trans :premises (@p45 @p419)) % 150.91/151.35 (step @p421 :rule ho_cong :premises (@p420 @p393)) % 150.91/151.35 (step @p422 :rule ho_cong :premises (@p421 @p390)) % 150.91/151.35 (step @p423 :rule ho_cong :premises (@p420 @p338)) % 150.91/151.35 (step @p424 :rule ho_cong :premises (@p423 @p422)) % 150.91/151.35 (step @p425 :rule ho_cong :premises (@p155 @p424)) % 150.91/151.35 (step @p426 :rule ho_cong :premises (@p425 @p297)) % 150.91/151.35 (step @p427 :rule refl :args (tptp.a3)) % 150.91/151.35 (step @p428 :rule ho_cong :premises (@p173 @p427)) % 150.91/151.35 (step @p429 :rule ho_cong :premises (@p428 @p426)) % 150.91/151.35 (step @p430 :rule ho_cong :premises (@p429 @p88)) % 150.91/151.35 (step @p431 :rule cong :premises (@p430) :args (@t24)) % 150.91/151.35 (step @p432 :rule ho_cong :premises (@p185 @p431)) % 150.91/151.35 (step @p433 :rule ho_cong :premises (@p432 @p88)) % 150.91/151.35 (step @p434 :rule cong :premises (@p433) :args (@t25)) % 150.91/151.35 (step @p435 :rule ho_cong :premises (@p185 @p434)) % 150.91/151.35 (step @p436 :rule ho_cong :premises (@p194 @p435)) % 150.91/151.35 (step @p437 :rule trans :premises (@p436 @p389)) % 150.91/151.35 (step @p438 :rule trans :premises (@p437 @p231)) % 150.91/151.35 (step @p439 :rule eq_resolve :premises (@p14 @p438)) % 150.91/151.35 (step @p440 :rule instantiate :premises (@p439) :args ((@list @t223 tptp.jan tptp.cola @t223))) % 150.91/151.35 ; trust TRUST PREPROCESS_HO_ELIM % 150.91/151.35 (step @p441 :rule trust :premises () :args ((= @t349 (forall @t201 (or (not (_ @t139 (_ @t141 @t231 @t36) @t75)) @t346))))) % 150.91/151.35 (step @p442 :rule quant-merge-prenex :args ((= (forall @t73 @t350) @t349))) % 150.91/151.35 (step @p443 :rule beta-reduce :args ((= @t352 @t350))) % 150.91/151.35 (step @p444 :rule cong :premises (@p443) :args (@t353)) % 150.91/151.35 (step @p445 :rule trans :premises (@p444 @p442)) % 150.91/151.35 (step @p446 :rule beta-reduce :args ((= (_ @t156 @t351) @t353))) % 150.91/151.35 (step @p447 :rule trans :premises (@p446 @p445)) % 150.91/151.35 (step @p448 :rule refl :args (@t347)) % 150.91/151.35 (step @p449 :rule refl :args (@t354)) % 150.91/151.35 (step @p450 :rule cong :premises (@p449 @p448) :args ((= @t354 @t347))) % 150.91/151.35 (step @p451 :rule symm :premises (@p450)) % 150.91/151.35 (step @p452 :rule eq_resolve :premises (@p449 @p451)) % 150.91/151.35 (step @p453 :rule nary_cong :premises (@p349 @p452) :args (@t355)) % 150.91/151.35 (step @p454 :rule cong :premises (@p453) :args ((forall @t81 @t355))) % 150.91/151.35 (step @p455 :rule refl :args (@t356)) % 150.91/151.35 (step @p456 :rule nary_cong :premises (@p352 @p455) :args (@t357)) % 150.91/151.35 (step @p457 :rule cong :premises (@p456) :args (@t358)) % 150.91/151.35 (step @p458 :rule trans :premises (@p457 @p454)) % 150.91/151.35 (step @p459 :rule cong :premises (@p458) :args (@t359)) % 150.91/151.35 (step @p460 :rule beta-reduce :args ((= (_ @t331 @t2) @t359))) % 150.91/151.35 (step @p461 :rule trans :premises (@p460 @p459)) % 150.91/151.35 (step @p462 :rule refl :args (@t2)) % 150.91/151.35 (step @p463 :rule ho_cong :premises (@p359 @p462)) % 150.91/151.35 (step @p464 :rule trans :premises (@p463 @p461)) % 150.91/151.35 (step @p465 :rule ho_cong :premises (@p127 @p464)) % 150.91/151.35 (step @p466 :rule trans :premises (@p465 @p447)) % 150.91/151.35 (step @p467 :rule ho_cong :premises (@p392 @p462)) % 150.91/151.35 (step @p468 :rule ho_cong :premises (@p194 @p467)) % 150.91/151.35 (step @p469 :rule trans :premises (@p468 @p466)) % 150.91/151.35 (step @p470 :rule trans :premises (@p469 @p441)) % 150.91/151.35 (step @p471 :rule eq_resolve :premises (@p2 @p470)) % 150.91/151.35 (step @p472 :rule instantiate :premises (@p471) :args ((@list @t223 @t362))) % 150.91/151.35 (step @p473 :rule refl :args (@t364)) % 150.91/151.35 (step @p474 :rule bool-double-not-elim :args (@t361)) % 150.91/151.35 (step @p475 :rule nary_cong :premises (@p474 @p473) :args ((or (not @t365) @t364))) % 150.91/151.35 (assume-push @p817 @t365) % 150.91/151.35 (step @p477 :rule skolemize :premises (@p817)) % 150.91/151.35 (step-pop @p818 :rule scope :premises (@p477)) % 150.91/151.35 (step @p478 :rule process_scope :premises (@p818) :args (@t364)) % 150.91/151.35 (step @p480 :rule implies_elim :premises (@p478)) % 150.91/151.35 (step @p481 :rule eq_resolve :premises (@p480 @p475)) % 150.91/151.35 (step @p482 :rule chain_m_resolution :premises (@p481 @p472) :args (@t361 (@list false) (@list @t363))) % 150.91/151.35 ; trust TRUST PREPROCESS_HO_ELIM % 150.91/151.35 (step @p483 :rule trust :premises () :args ((= (not (forall @t73 @t367)) @t366))) % 150.91/151.35 (step @p484 :rule beta-reduce :args ((= @t372 @t367))) % 150.91/151.35 (step @p485 :rule cong :premises (@p484) :args (@t373)) % 150.91/151.35 (step @p486 :rule beta-reduce :args ((= (_ @t156 @t371) @t373))) % 150.91/151.35 (step @p487 :rule trans :premises (@p486 @p485)) % 150.91/151.35 (step @p488 :rule quant-merge-prenex :args ((= (forall @t61 @t375) @t370))) % 150.91/151.35 (step @p489 :rule bool-double-not-elim :args (@t375)) % 150.91/151.35 (step @p490 :rule beta-reduce :args ((= @t378 @t376))) % 150.91/151.35 (step @p491 :rule cong :premises (@p490) :args (@t379)) % 150.91/151.35 (step @p492 :rule trans :premises (@p491 @p489)) % 150.91/151.35 (step @p493 :rule cong :premises (@p492) :args (@t380)) % 150.91/151.35 (step @p494 :rule trans :premises (@p493 @p488)) % 150.91/151.35 (step @p495 :rule cong :premises (@p494) :args (@t381)) % 150.91/151.35 (step @p496 :rule cong :premises (@p495) :args (@t382)) % 150.91/151.35 (step @p497 :rule beta-reduce :args ((= (_ @t385 @t377) @t382))) % 150.91/151.35 (step @p498 :rule trans :premises (@p497 @p496)) % 150.91/151.35 (step @p499 :rule beta-reduce :args ((= (_ (lambda @t173 @t376) @t6) @t376))) % 150.91/151.35 (step @p500 :rule refl :args (@t368)) % 150.91/151.35 (step @p501 :rule refl :args (@t386)) % 150.91/151.35 (step @p502 :rule cong :premises (@p501 @p500) :args ((= @t386 @t368))) % 150.91/151.35 (step @p503 :rule symm :premises (@p502)) % 150.91/151.35 (step @p504 :rule eq_resolve :premises (@p501 @p503)) % 150.91/151.35 (step @p505 :rule cong :premises (@p504) :args (@t387)) % 150.91/151.35 (step @p506 :rule cong :premises (@p505) :args ((forall @t374 @t387))) % 150.91/151.35 (step @p507 :rule beta-reduce :args ((= @t388 @t386))) % 150.91/151.35 (step @p508 :rule cong :premises (@p507) :args (@t389)) % 150.91/151.35 (step @p509 :rule cong :premises (@p508) :args (@t390)) % 150.91/151.35 (step @p510 :rule trans :premises (@p509 @p506)) % 150.91/151.35 (step @p511 :rule cong :premises (@p510) :args (@t391)) % 150.91/151.35 (step @p512 :rule cong :premises (@p511) :args (@t392)) % 150.91/151.35 (step @p513 :rule beta-reduce :args ((= (_ (lambda @t70 (not (forall @t374 (not (_ @t58 @t217 @t6))))) @t33) @t392))) % 150.91/151.35 (step @p514 :rule trans :premises (@p513 @p512)) % 150.91/151.35 (step @p515 :rule refl :args (@t33)) % 150.91/151.35 (step @p516 :rule alpha_equiv :args (@t383 @t271 (@list @t217))) % 150.91/151.35 (step @p517 :rule cong :premises (@p516) :args (@t384)) % 150.91/151.35 (step @p518 :rule cong :premises (@p517) :args (@t385)) % 150.91/151.35 (step @p519 :rule ho_cong :premises (@p518 @p515)) % 150.91/151.35 (step @p520 :rule trans :premises (@p519 @p514)) % 150.91/151.35 (step @p521 :rule ho_cong :premises (@p520 @p88)) % 150.91/151.35 (step @p522 :rule trans :premises (@p521 @p499)) % 150.91/151.35 (step @p523 :rule cong :premises (@p522) :args (@t393)) % 150.91/151.35 (step @p524 :rule refl :args (@t385)) % 150.91/151.35 (step @p525 :rule ho_cong :premises (@p524 @p523)) % 150.91/151.35 (step @p526 :rule trans :premises (@p525 @p498)) % 150.91/151.35 (step @p527 :rule ho_cong :premises (@p127 @p526)) % 150.91/151.35 (step @p528 :rule trans :premises (@p527 @p487)) % 150.91/151.35 (step @p529 :rule cong :premises (@p528) :args ((not (_ @t156 (_ @t385 @t393))))) % 150.91/151.35 (step @p530 :rule refl :args (@t33)) % 150.91/151.35 (step @p531 :rule beta-reduce :args ((= (_ (lambda @t73 (not @t394)) @t6) @t384))) % 150.91/151.35 (step @p532 :rule beta-reduce :args ((= @t396 @t394))) % 150.91/151.35 (step @p533 :rule cong :premises (@p532) :args (@t397)) % 150.91/151.35 (step @p534 :rule cong :premises (@p533) :args (@t398)) % 150.91/151.35 (step @p535 :rule beta-reduce :args ((= (_ @t45 @t395) @t398))) % 150.91/151.35 (step @p536 :rule trans :premises (@p535 @p534)) % 150.91/151.35 (step @p537 :rule cong :premises (@p182) :args (@t399)) % 150.91/151.35 (step @p538 :rule cong :premises (@p537) :args ((forall @t61 @t399))) % 150.91/151.35 (step @p539 :rule beta-reduce :args ((= @t402 @t399))) % 150.91/151.35 (step @p540 :rule cong :premises (@p539) :args (@t403)) % 150.91/151.35 (step @p541 :rule trans :premises (@p540 @p538)) % 150.91/151.35 (step @p542 :rule cong :premises (@p541) :args (@t404)) % 150.91/151.35 (step @p543 :rule beta-reduce :args ((= (_ @t166 @t401) @t404))) % 150.91/151.35 (step @p544 :rule trans :premises (@p543 @p542)) % 150.91/151.35 (step @p545 :rule beta-reduce :args ((= (_ @t405 @t6) @t400))) % 150.91/151.35 (step @p546 :rule beta-reduce :args ((= @t406 @t405))) % 150.91/151.35 (step @p547 :rule ho_cong :premises (@p546 @p88)) % 150.91/151.35 (step @p548 :rule trans :premises (@p547 @p545)) % 150.91/151.35 (step @p549 :rule cong :premises (@p548) :args ((lambda @t12 (_ @t406 @t6)))) % 150.91/151.35 (step @p550 :rule ho_cong :premises (@p124 @p549)) % 150.91/151.35 (step @p551 :rule trans :premises (@p550 @p544)) % 150.91/151.35 (step @p552 :rule ho_cong :premises (@p409 @p551)) % 150.91/151.35 (step @p553 :rule trans :premises (@p552 @p536)) % 150.91/151.35 (step @p554 :rule ho_cong :premises (@p553 @p88)) % 150.91/151.35 (step @p555 :rule trans :premises (@p554 @p531)) % 150.91/151.35 (step @p556 :rule refl :args (@t59)) % 150.91/151.35 (step @p557 :rule ho_cong :premises (@p43 @p556)) % 150.91/151.35 (step @p558 :rule ho_cong :premises (@p557 @p88)) % 150.91/151.35 (step @p559 :rule cong :premises (@p558) :args (@t69)) % 150.91/151.35 (step @p560 :rule ho_cong :premises (@p185 @p559)) % 150.91/151.35 (step @p561 :rule ho_cong :premises (@p43 @p560)) % 150.91/151.35 (step @p562 :rule ho_cong :premises (@p561 @p88)) % 150.91/151.35 (step @p563 :rule trans :premises (@p562 @p555)) % 150.91/151.35 (step @p564 :rule cong :premises (@p563) :args (@t71)) % 150.91/151.35 (step @p565 :rule trans :premises (@p52 @p564)) % 150.91/151.35 (step @p566 :rule ho_cong :premises (@p565 @p530)) % 150.91/151.35 (step @p567 :rule ho_cong :premises (@p566 @p88)) % 150.91/151.35 (step @p568 :rule cong :premises (@p567) :args (@t34)) % 150.91/151.35 (step @p569 :rule ho_cong :premises (@p565 @p568)) % 150.91/151.35 (step @p570 :rule ho_cong :premises (@p194 @p569)) % 150.91/151.35 (step @p571 :rule cong :premises (@p570) :args (@t35)) % 150.91/151.35 (step @p572 :rule trans :premises (@p571 @p529)) % 150.91/151.35 (step @p573 :rule trans :premises (@p572 @p483)) % 150.91/151.35 (step @p574 :rule eq_resolve :premises (@p39 @p573)) % 150.91/151.35 (step @p575 :rule refl :args (@t407)) % 150.91/151.35 (step @p576 :rule bool-double-not-elim :args (@t222)) % 150.91/151.35 (step @p577 :rule nary_cong :premises (@p576 @p575) :args ((or (not @t366) @t407))) % 150.91/151.35 (step @p578 :rule bool-double-not-elim :args (@t407)) % 150.91/151.35 (step @p579 :rule refl :args (@t366)) % 150.91/151.35 (step @p580 :rule cong :premises (@p579 @p578) :args ((=> @t366 @t408))) % 150.91/151.35 (assume-push @p819 @t366) % 150.91/151.35 (step @p582 :rule skolemize :premises (@p574)) % 150.91/151.35 (step-pop @p820 :rule scope :premises (@p582)) % 150.91/151.35 (step @p583 :rule process_scope :premises (@p820) :args (@t408)) % 150.91/151.35 (step @p585 :rule eq_resolve :premises (@p583 @p580)) % 150.91/151.35 (step @p586 :rule implies_elim :premises (@p585)) % 150.91/151.35 (step @p587 :rule eq_resolve :premises (@p586 @p577)) % 150.91/151.35 (step @p588 :rule chain_m_resolution :premises (@p587 @p574) :args (@t407 @t409 (@list @t222))) % 150.91/151.35 (step @p589 :rule instantiate :premises (@p588) :args ((@list tptp.jan tptp.cola))) % 150.91/151.35 ; trust TRUST PREPROCESS_HO_ELIM % 150.91/151.35 (step @p590 :rule trust :premises () :args ((= @t412 (forall @t132 (or (not (_ @t139 @t410 @t75)) (not (_ @t139 (_ @t141 @t233 @t75) @t36)) (_ @t139 @t410 @t36)))))) % 150.91/151.35 (step @p591 :rule beta-reduce :args ((= (_ @t416 tptp.a3) @t412))) % 150.91/151.35 (step @p592 :rule beta-reduce :args ((= (_ (lambda @t126 (forall @t132 (or (not @t417) @t415 @t413))) tptp.a3) @t416))) % 150.91/151.35 (step @p593 :rule ho_cong :premises (@p592 @p427)) % 150.91/151.35 (step @p594 :rule trans :premises (@p593 @p591)) % 150.91/151.35 (step @p595 :rule refl :args (@t413)) % 150.91/151.35 (step @p596 :rule refl :args (@t128)) % 150.91/151.35 (step @p597 :rule cong :premises (@p596 @p595) :args ((= @t128 @t413))) % 150.91/151.35 (step @p598 :rule symm :premises (@p597)) % 150.91/151.35 (step @p599 :rule eq_resolve :premises (@p596 @p598)) % 150.91/151.35 (step @p600 :rule refl :args (@t414)) % 150.91/151.35 (step @p601 :rule refl :args (@t129)) % 150.91/151.35 (step @p602 :rule cong :premises (@p601 @p600) :args ((= @t129 @t414))) % 150.91/151.35 (step @p603 :rule symm :premises (@p602)) % 150.91/151.35 (step @p604 :rule eq_resolve :premises (@p601 @p603)) % 150.91/151.35 (step @p605 :rule cong :premises (@p604) :args (@t418)) % 150.91/151.35 (step @p606 :rule refl :args (@t417)) % 150.91/151.35 (step @p607 :rule refl :args (@t130)) % 150.91/151.35 (step @p608 :rule cong :premises (@p607 @p606) :args ((= @t130 @t417))) % 150.91/151.35 (step @p609 :rule symm :premises (@p608)) % 150.91/151.35 (step @p610 :rule eq_resolve :premises (@p607 @p609)) % 150.91/151.35 (step @p611 :rule cong :premises (@p610) :args (@t419)) % 150.91/151.35 (step @p612 :rule nary_cong :premises (@p611 @p605 @p599) :args (@t420)) % 150.91/151.35 (step @p613 :rule cong :premises (@p612) :args ((forall @t132 @t420))) % 150.91/151.35 (step @p614 :rule aci_norm :args ((= (or (or @t419 @t418) @t128) @t420))) % 150.91/151.35 (step @p615 :rule bool-and-de-morgan :args (@t130 @t129 true)) % 150.91/151.35 (step @p616 :rule nary_cong :premises (@p615 @p596) :args ((or (not @t131) @t128))) % 150.91/151.35 (step @p617 :rule trans :premises (@p616 @p614)) % 150.91/151.35 (step @p618 :rule bool-impl-elim :args (@t131 @t128)) % 150.91/151.35 (step @p619 :rule trans :premises (@p618 @p617)) % 150.91/151.35 (step @p620 :rule cong :premises (@p619) :args (@t133)) % 150.91/151.35 (step @p621 :rule trans :premises (@p620 @p613)) % 150.91/151.35 (step @p622 :rule cong :premises (@p621) :args (@t134)) % 150.91/151.35 (step @p623 :rule trans :premises (@p72 @p622)) % 150.91/151.35 (step @p624 :rule ho_cong :premises (@p623 @p427)) % 150.91/151.35 (step @p625 :rule ho_cong :premises (@p624 @p427)) % 150.91/151.35 (step @p626 :rule trans :premises (@p625 @p594)) % 150.91/151.35 (step @p627 :rule trans :premises (@p626 @p590)) % 150.91/151.35 (step @p628 :rule eq_resolve :premises (@p35 @p627)) % 150.91/151.35 (step @p629 :rule instantiate :premises (@p628) :args ((@list @t223 @t424 @t223))) % 150.91/151.35 ; trust TRUST PREPROCESS_HO_ELIM % 150.91/151.35 (step @p630 :rule trust :premises () :args ((= @t425 (forall @t95 (or (not (_ @t139 (_ @t141 @t233 @t86) @t91)) (_ @t139 (_ @t141 @t233 @t91) @t86)))))) % 150.91/151.35 (step @p631 :rule beta-reduce :args ((= (_ (lambda @t89 (forall @t95 (or (not @t427) @t426))) tptp.a3) @t425))) % 150.91/151.35 (step @p632 :rule refl :args (@t426)) % 150.91/151.35 (step @p633 :rule refl :args (@t93)) % 150.91/151.35 (step @p634 :rule cong :premises (@p633 @p632) :args ((= @t93 @t426))) % 150.91/151.35 (step @p635 :rule symm :premises (@p634)) % 150.91/151.35 (step @p636 :rule eq_resolve :premises (@p633 @p635)) % 150.91/151.35 (step @p637 :rule refl :args (@t427)) % 150.91/151.35 (step @p638 :rule refl :args (@t94)) % 150.91/151.35 (step @p639 :rule cong :premises (@p638 @p637) :args ((= @t94 @t427))) % 150.91/151.35 (step @p640 :rule symm :premises (@p639)) % 150.91/151.35 (step @p641 :rule eq_resolve :premises (@p638 @p640)) % 150.91/151.35 (step @p642 :rule cong :premises (@p641) :args (@t428)) % 150.91/151.35 (step @p643 :rule nary_cong :premises (@p642 @p636) :args (@t429)) % 150.91/151.35 (step @p644 :rule cong :premises (@p643) :args ((forall @t95 @t429))) % 150.91/151.35 (step @p645 :rule bool-impl-elim :args (@t94 @t93)) % 150.91/151.35 (step @p646 :rule cong :premises (@p645) :args (@t96)) % 150.91/151.35 (step @p647 :rule trans :premises (@p646 @p644)) % 150.91/151.35 (step @p648 :rule cong :premises (@p647) :args (@t97)) % 150.91/151.35 (step @p649 :rule trans :premises (@p58 @p648)) % 150.91/151.35 (step @p650 :rule ho_cong :premises (@p649 @p427)) % 150.91/151.35 (step @p651 :rule trans :premises (@p650 @p631)) % 150.91/151.35 (step @p652 :rule trans :premises (@p651 @p630)) % 150.91/151.35 (step @p653 :rule eq_resolve :premises (@p22 @p652)) % 150.91/151.35 (step @p654 :rule instantiate :premises (@p653) :args ((@list @t223 @t424))) % 150.91/151.35 ; trust TRUST PREPROCESS_HO_ELIM % 150.91/151.35 (step @p655 :rule trust :premises () :args ((= @t437 (forall @t432 (or (not (forall @t81 (or @t234 (_ @t139 @t431 @t75)))) (_ @t139 @t431 @t36)))))) % 150.91/151.35 (step @p656 :rule quant-merge-prenex :args ((= (forall @t73 @t438) @t437))) % 150.91/151.35 (step @p657 :rule beta-reduce :args ((= @t440 @t438))) % 150.91/151.35 (step @p658 :rule cong :premises (@p657) :args (@t441)) % 150.91/151.35 (step @p659 :rule trans :premises (@p658 @p656)) % 150.91/151.35 (step @p660 :rule beta-reduce :args ((= (_ @t156 @t439) @t441))) % 150.91/151.35 (step @p661 :rule trans :premises (@p660 @p659)) % 150.91/151.35 (step @p662 :rule quant-merge-prenex :args ((= (forall @t61 @t443) @t438))) % 150.91/151.35 (step @p663 :rule beta-reduce :args ((= @t446 @t443))) % 150.91/151.35 (step @p664 :rule cong :premises (@p663) :args (@t447)) % 150.91/151.35 (step @p665 :rule trans :premises (@p664 @p662)) % 150.91/151.35 (step @p666 :rule cong :premises (@p665) :args (@t448)) % 150.91/151.35 (step @p667 :rule beta-reduce :args ((= (_ @t166 @t445) @t448))) % 150.91/151.35 (step @p668 :rule trans :premises (@p667 @p666)) % 150.91/151.35 (step @p669 :rule beta-reduce :args ((= (_ (lambda @t73 @t443) @t6) @t444))) % 150.91/151.35 (step @p670 :rule refl :args (@t433)) % 150.91/151.35 (step @p671 :rule refl :args (@t449)) % 150.91/151.35 (step @p672 :rule cong :premises (@p671 @p670) :args ((= @t449 @t433))) % 150.91/151.35 (step @p673 :rule symm :premises (@p672)) % 150.91/151.35 (step @p674 :rule eq_resolve :premises (@p671 @p673)) % 150.91/151.35 (step @p675 :rule refl :args (@t435)) % 150.91/151.35 (step @p676 :rule nary_cong :premises (@p675 @p674) :args (@t450)) % 150.91/151.35 (step @p677 :rule cong :premises (@p676) :args ((forall @t442 @t450))) % 150.91/151.35 (step @p678 :rule beta-reduce :args ((= @t455 @t450))) % 150.91/151.35 (step @p679 :rule cong :premises (@p678) :args (@t456)) % 150.91/151.35 (step @p680 :rule trans :premises (@p679 @p677)) % 150.91/151.35 (step @p681 :rule cong :premises (@p680) :args (@t457)) % 150.91/151.35 (step @p682 :rule beta-reduce :args ((= (_ (lambda @t63 (forall @t442 (_ @t58 @t430 @t36))) @t454) @t457))) % 150.91/151.35 (step @p683 :rule trans :premises (@p682 @p681)) % 150.91/151.35 (step @p684 :rule refl :args (@t454)) % 150.91/151.35 (step @p685 :rule alpha_equiv :args (@t165 @t271 (@list @t430))) % 150.91/151.35 (step @p686 :rule cong :premises (@p685) :args (@t166)) % 150.91/151.35 (step @p687 :rule ho_cong :premises (@p686 @p684)) % 150.91/151.35 (step @p688 :rule trans :premises (@p687 @p683)) % 150.91/151.35 (step @p689 :rule beta-reduce :args ((= (_ @t458 @t6) @t453))) % 150.91/151.35 (step @p690 :rule beta-reduce :args ((= (_ (lambda @t182 (or @t452 @t181)) @t21) @t458))) % 150.91/151.35 (step @p691 :rule beta-reduce :args ((= @t460 @t451))) % 150.91/151.35 (step @p692 :rule cong :premises (@p691) :args (@t461)) % 150.91/151.35 (step @p693 :rule nary_cong :premises (@p692 @p299) :args (@t462)) % 150.91/151.35 (step @p694 :rule cong :premises (@p693) :args (@t463)) % 150.91/151.35 (step @p695 :rule beta-reduce :args ((= (_ @t186 @t459) @t463))) % 150.91/151.35 (step @p696 :rule trans :premises (@p695 @p694)) % 150.91/151.35 (step @p697 :rule nary_cong :premises (@p272 @p271) :args (@t464)) % 150.91/151.35 (step @p698 :rule cong :premises (@p697) :args ((forall @t81 @t464))) % 150.91/151.35 (step @p699 :rule refl :args (@t465)) % 150.91/151.35 (step @p700 :rule nary_cong :premises (@p288 @p699) :args (@t466)) % 150.91/151.35 (step @p701 :rule cong :premises (@p700) :args (@t467)) % 150.91/151.35 (step @p702 :rule trans :premises (@p701 @p698)) % 150.91/151.35 (step @p703 :rule cong :premises (@p702) :args (@t468)) % 150.91/151.35 (step @p704 :rule beta-reduce :args ((= (_ @t288 @t21) @t468))) % 150.91/151.35 (step @p705 :rule trans :premises (@p704 @p703)) % 150.91/151.35 (step @p706 :rule ho_cong :premises (@p375 @p297)) % 150.91/151.35 (step @p707 :rule trans :premises (@p706 @p705)) % 150.91/151.35 (step @p708 :rule ho_cong :premises (@p370 @p707)) % 150.91/151.35 (step @p709 :rule trans :premises (@p708 @p696)) % 150.91/151.35 (step @p710 :rule ho_cong :premises (@p709 @p297)) % 150.91/151.35 (step @p711 :rule trans :premises (@p710 @p690)) % 150.91/151.35 (step @p712 :rule ho_cong :premises (@p711 @p88)) % 150.91/151.35 (step @p713 :rule trans :premises (@p712 @p689)) % 150.91/151.35 (step @p714 :rule cong :premises (@p713) :args (@t469)) % 150.91/151.35 (step @p715 :rule ho_cong :premises (@p124 @p714)) % 150.91/151.35 (step @p716 :rule trans :premises (@p715 @p688)) % 150.91/151.35 (step @p717 :rule ho_cong :premises (@p716 @p88)) % 150.91/151.35 (step @p718 :rule trans :premises (@p717 @p669)) % 150.91/151.35 (step @p719 :rule cong :premises (@p718) :args ((lambda @t12 (_ (_ @t166 @t469) @t6)))) % 150.91/151.35 (step @p720 :rule ho_cong :premises (@p124 @p719)) % 150.91/151.35 (step @p721 :rule trans :premises (@p720 @p668)) % 150.91/151.35 (step @p722 :rule ho_cong :premises (@p127 @p721)) % 150.91/151.35 (step @p723 :rule trans :premises (@p722 @p661)) % 150.91/151.35 (step @p724 :rule ho_cong :premises (@p428 @p297)) % 150.91/151.35 (step @p725 :rule ho_cong :premises (@p155 @p724)) % 150.91/151.35 (step @p726 :rule ho_cong :premises (@p725 @p297)) % 150.91/151.35 (step @p727 :rule ho_cong :premises (@p726 @p88)) % 150.91/151.35 (step @p728 :rule cong :premises (@p727) :args (@t26)) % 150.91/151.35 (step @p729 :rule ho_cong :premises (@p185 @p728)) % 150.91/151.35 (step @p730 :rule ho_cong :premises (@p729 @p88)) % 150.91/151.35 (step @p731 :rule cong :premises (@p730) :args (@t27)) % 150.91/151.35 (step @p732 :rule ho_cong :premises (@p185 @p731)) % 150.91/151.35 (step @p733 :rule ho_cong :premises (@p194 @p732)) % 150.91/151.35 (step @p734 :rule trans :premises (@p733 @p723)) % 150.91/151.35 (step @p735 :rule trans :premises (@p734 @p655)) % 150.91/151.35 (step @p736 :rule eq_resolve :premises (@p15 @p735)) % 150.91/151.35 (step @p737 :rule instantiate :premises (@p736) :args ((@list @t223 tptp.jan tptp.cola))) % 150.91/151.35 (step @p738 :rule cnf_or_pos :args (@t472)) % 150.91/151.35 (step @p739 :rule reordering :premises (@p738) :args ((or @t470 @t471 (not @t472)))) % 150.91/151.35 (step @p740 :rule chain_m_resolution :premises (@p739 @p589 @p737) :args (@t471 @t473 (@list @t470 @t472))) % 150.91/151.35 (step @p741 :rule skolemize :premises (@p740)) % 150.91/151.35 (step @p742 :rule bool-double-not-elim :args (@t474)) % 150.91/151.35 (step @p743 :rule refl :args (@t476)) % 150.91/151.35 (step @p744 :rule nary_cong :premises (@p743 @p742) :args ((or @t476 (not @t475)))) % 150.91/151.35 (step @p745 :rule cnf_or_neg :args (@t476 0)) % 150.91/151.35 (step @p746 :rule eq_resolve :premises (@p745 @p744)) % 150.91/151.35 (step @p747 :rule reordering :premises (@p746) :args ((or @t474 @t476))) % 150.91/151.35 (step @p748 :rule chain_m_resolution :premises (@p747 @p741) :args (@t474 @t409 (@list @t476))) % 150.91/151.35 (step @p749 :rule cnf_or_pos :args (@t478)) % 150.91/151.35 (step @p750 :rule reordering :premises (@p749) :args ((or @t475 @t477 (not @t478)))) % 150.91/151.35 (step @p751 :rule chain_m_resolution :premises (@p750 @p748 @p654) :args (@t477 @t479 (@list @t474 @t478))) % 150.91/151.35 (step @p752 :rule cnf_or_pos :args (@t482)) % 150.91/151.35 (step @p753 :rule reordering :premises (@p752) :args ((or @t480 @t475 @t481 (not @t482)))) % 150.91/151.35 (step @p754 :rule chain_m_resolution :premises (@p753 @p748 @p751 @p629) :args (@t480 (@list false false false) (@list @t474 @t477 @t482))) % 150.91/151.35 ; trust TRUST PREPROCESS_HO_ELIM % 150.91/151.35 (step @p755 :rule trust :premises () :args ((= @t484 (forall @t201 (or @t234 @t346))))) % 150.91/151.35 (step @p756 :rule quant-merge-prenex :args ((= (forall @t73 @t485) @t484))) % 150.91/151.35 (step @p757 :rule beta-reduce :args ((= @t487 @t485))) % 150.91/151.35 (step @p758 :rule cong :premises (@p757) :args (@t488)) % 150.91/151.35 (step @p759 :rule trans :premises (@p758 @p756)) % 150.91/151.35 (step @p760 :rule beta-reduce :args ((= (_ @t156 @t486) @t488))) % 150.91/151.35 (step @p761 :rule trans :premises (@p760 @p759)) % 150.91/151.35 (step @p762 :rule nary_cong :premises (@p272 @p452) :args (@t489)) % 150.91/151.35 (step @p763 :rule cong :premises (@p762) :args ((forall @t81 @t489))) % 150.91/151.35 (step @p764 :rule nary_cong :premises (@p288 @p455) :args (@t490)) % 150.91/151.35 (step @p765 :rule cong :premises (@p764) :args (@t491)) % 150.91/151.35 (step @p766 :rule trans :premises (@p765 @p763)) % 150.91/151.35 (step @p767 :rule cong :premises (@p766) :args (@t492)) % 150.91/151.35 (step @p768 :rule beta-reduce :args ((= (_ @t288 @t2) @t492))) % 150.91/151.35 (step @p769 :rule trans :premises (@p768 @p767)) % 150.91/151.35 (step @p770 :rule ho_cong :premises (@p375 @p462)) % 150.91/151.35 (step @p771 :rule trans :premises (@p770 @p769)) % 150.91/151.35 (step @p772 :rule ho_cong :premises (@p127 @p771)) % 150.91/151.35 (step @p773 :rule trans :premises (@p772 @p761)) % 150.91/151.35 (step @p774 :rule ho_cong :premises (@p428 @p462)) % 150.91/151.35 (step @p775 :rule ho_cong :premises (@p194 @p774)) % 150.91/151.35 (step @p776 :rule trans :premises (@p775 @p773)) % 150.91/151.35 (step @p777 :rule trans :premises (@p776 @p755)) % 150.91/151.35 (step @p778 :rule eq_resolve :premises (@p11 @p777)) % 150.91/151.35 (step @p779 :rule instantiate :premises (@p778) :args ((@list @t223 @t223))) % 150.91/151.35 (step @p780 :rule cnf_or_pos :args (@t495)) % 150.91/151.35 (step @p781 :rule reordering :premises (@p780) :args ((or @t493 @t494 (not @t495)))) % 150.91/151.35 (step @p782 :rule chain_m_resolution :premises (@p781 @p754 @p779) :args (@t493 @t479 (@list @t480 @t495))) % 150.91/151.35 (step @p783 :rule cnf_or_pos :args (@t498)) % 150.91/151.35 (step @p784 :rule reordering :premises (@p783) :args ((or @t497 @t494 @t470 @t365 @t496 (not @t498)))) % 150.91/151.35 (step @p785 :rule chain_m_resolution :premises (@p784 @p782 @p754 @p589 @p482 @p440) :args (@t496 (@list false false true false false) (@list @t493 @t480 @t470 @t361 @t498))) % 150.91/151.35 (step @p786 :rule refl :args (@t503)) % 150.91/151.35 (step @p787 :rule bool-double-not-elim :args (@t226)) % 150.91/151.35 (step @p788 :rule nary_cong :premises (@p787 @p786) :args ((or (not @t496) @t503))) % 150.91/151.35 (assume-push @p821 @t496) % 150.91/151.35 (step @p790 :rule skolemize :premises (@p821)) % 150.91/151.35 (step-pop @p822 :rule scope :premises (@p790)) % 150.91/151.35 (step @p791 :rule process_scope :premises (@p822) :args (@t503)) % 150.91/151.35 (step @p793 :rule implies_elim :premises (@p791)) % 150.91/151.35 (step @p794 :rule eq_resolve :premises (@p793 @p788)) % 150.91/151.35 (step @p795 :rule chain_m_resolution :premises (@p794 @p785) :args (@t503 @t409 (@list @t226))) % 150.91/151.35 (step @p796 :rule bool-double-not-elim :args (@t500)) % 150.91/151.35 (step @p797 :rule refl :args (@t502)) % 150.91/151.35 (step @p798 :rule nary_cong :premises (@p797 @p796) :args ((or @t502 (not @t501)))) % 150.91/151.35 (step @p799 :rule cnf_or_neg :args (@t502 0)) % 150.91/151.35 (step @p800 :rule eq_resolve :premises (@p799 @p798)) % 150.91/151.35 (step @p801 :rule reordering :premises (@p800) :args ((or @t500 @t502))) % 150.91/151.35 (step @p802 :rule chain_m_resolution :premises (@p801 @p795) :args (@t500 @t409 @t504)) % 150.91/151.35 (step @p803 :rule cnf_or_pos :args (@t506)) % 150.91/151.35 (step @p804 :rule reordering :premises (@p803) :args ((or @t501 @t505 (not @t506)))) % 150.91/151.35 (step @p805 :rule chain_m_resolution :premises (@p804 @p802 @p230) :args (@t505 @t479 (@list @t500 @t506))) % 150.91/151.35 (step @p806 :rule cnf_or_neg :args (@t502 1)) % 150.91/151.35 (step @p807 :rule chain_m_resolution :premises (@p806 @p795) :args ((not @t499) @t409 @t504)) % 150.91/151.35 (step @p808 :rule cnf_or_pos :args (@t508)) % 150.91/151.35 (step @p809 :rule reordering :premises (@p808) :args ((or @t501 @t499 @t507 @t509))) % 150.91/151.35 (step @p810 :rule chain_m_resolution :premises (@p809 @p802 @p807 @p805) :args (@t509 (@list false true false) (@list @t500 @t499 @t505))) % 150.91/151.35 (assume-push @p823 @t144) % 150.91/151.35 (step @p812 :rule instantiate :premises (@p198) :args ((@list @t223 tptp.jan @t227))) % 150.91/151.35 (step-pop @p824 :rule scope :premises (@p812)) % 150.91/151.35 (step @p813 :rule process_scope :premises (@p824) :args (@t508)) % 150.91/151.35 (step @p815 :rule implies_elim :premises (@p813)) % 150.91/151.35 (step @p816 false :rule chain_m_resolution :premises (@p815 @p810 @p198) :args (false @t473 (@list @t508 @t144))) % 150.91/151.35 ) % 150.91/151.35 % SZS output end Proof % 150.91/151.35 % cvc5 exiting %------------------------------------------------------------------------------