%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : AGT030^1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 241.85s 242.16s % Output : Proof 241.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : AGT030^1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 01:32:53 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.52 %----Proving TH0 % 241.85/242.16 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 241.85/242.16 --- 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... % 241.85/242.16 --- 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... % 241.85/242.16 --- Run --ho-elim --full-saturate-quant at 18s... % 241.85/242.16 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 241.85/242.16 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 241.85/242.16 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 241.85/242.16 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 6s... % 241.85/242.16 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 21s... % 241.85/242.16 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 18s... % 241.85/242.16 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 18s... % 241.85/242.16 % SZS status Theorem % 241.85/242.16 % SZS output start Proof % 241.85/242.16 ( % 241.85/242.16 (declare-sort $$unsorted 0) % 241.85/242.16 (declare-sort tptp.mu 0) % 241.85/242.16 (declare-const tptp.mike tptp.mu) % 241.85/242.16 (declare-const tptp.peter tptp.mu) % 241.85/242.16 (declare-const tptp.tom tptp.mu) % 241.85/242.16 (declare-const tptp.john tptp.mu) % 241.85/242.16 (declare-const tptp.physics_student (-> tptp.mu $$unsorted Bool)) % 241.85/242.16 (declare-const tptp.good_in_physics (-> tptp.mu $$unsorted Bool)) % 241.85/242.16 (declare-const tptp.mathematician (-> tptp.mu $$unsorted Bool)) % 241.85/242.16 (declare-const tptp.good_in_maths (-> tptp.mu $$unsorted Bool)) % 241.85/242.16 (declare-const tptp.r4 (-> $$unsorted $$unsorted Bool)) % 241.85/242.16 (declare-const tptp.maths_teacher (-> tptp.mu $$unsorted Bool)) % 241.85/242.16 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 241.85/242.16 (declare-const tptp.r5 (-> $$unsorted $$unsorted Bool)) % 241.85/242.16 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 241.85/242.16 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 241.85/242.16 (declare-const tptp.r3 (-> $$unsorted $$unsorted Bool)) % 241.85/242.16 (declare-const tptp.maths_student (-> tptp.mu $$unsorted Bool)) % 241.85/242.16 (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" $$unsorted)) (= _let_2 _let_1))))) % 241.85/242.16 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 241.85/242.16 (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)))))) % 241.85/242.16 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 241.85/242.16 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 241.85/242.16 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 241.85/242.16 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 241.85/242.16 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 241.85/242.16 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 241.85/242.16 (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))))))) % 241.85/242.16 (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))))))) % 241.85/242.16 (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)))))) % 241.85/242.16 (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)))))) % 241.85/242.16 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 241.85/242.16 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 241.85/242.16 (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)))))) % 241.85/242.16 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 241.85/242.16 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 241.85/242.16 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 241.85/242.16 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 241.85/242.16 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 241.85/242.16 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 241.85/242.16 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 241.85/242.16 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 241.85/242.16 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 241.85/242.16 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 241.85/242.16 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 241.85/242.16 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 241.85/242.16 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 241.85/242.16 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 241.85/242.16 (define @t1 () (@var "__flatten_var_0" $$unsorted)) % 241.85/242.16 (define @t2 () (@var "X" tptp.mu)) % 241.85/242.16 (define @t3 () (_ tptp.good_in_maths @t2)) % 241.85/242.16 (define @t4 () (_ tptp.mbox tptp.r4)) % 241.85/242.16 (define @t5 () (_ @t4 @t3)) % 241.85/242.16 (define @t6 () (_ tptp.maths_teacher @t2)) % 241.85/242.16 (define @t7 () (@list @t2 @t1)) % 241.85/242.16 (define @t8 () (lambda @t7 (_ (_ (_ tptp.mimplies @t6) @t5) @t1))) % 241.85/242.16 (define @t9 () (_ tptp.mbox tptp.r1)) % 241.85/242.16 (define @t10 () (_ tptp.mathematician @t2)) % 241.85/242.16 (define @t11 () (_ tptp.mbox tptp.r5)) % 241.85/242.16 (define @t12 () (_ tptp.mbox tptp.r2)) % 241.85/242.16 (define @t13 () (_ tptp.mbox tptp.r3)) % 241.85/242.16 (define @t14 () (_ tptp.mdia tptp.r1)) % 241.85/242.16 (define @t15 () (_ @t14 @t3)) % 241.85/242.16 (define @t16 () (_ tptp.mimplies (_ tptp.maths_student @t2))) % 241.85/242.16 (define @t17 () (_ tptp.mdia tptp.r2)) % 241.85/242.16 (define @t18 () (_ @t17 @t3)) % 241.85/242.16 (define @t19 () (_ tptp.mdia tptp.r3)) % 241.85/242.16 (define @t20 () (_ tptp.mdia tptp.r4)) % 241.85/242.16 (define @t21 () (_ tptp.mdia tptp.r5)) % 241.85/242.16 (define @t22 () (_ tptp.good_in_physics @t2)) % 241.85/242.16 (define @t23 () (_ tptp.mimplies (_ tptp.physics_student @t2))) % 241.85/242.16 (define @t24 () (_ tptp.maths_teacher tptp.john)) % 241.85/242.16 (define @t25 () (@var "Phi" (-> $$unsorted Bool))) % 241.85/242.16 (define @t26 () (_ tptp.mnot @t25)) % 241.85/242.16 (define @t27 () (_ @t9 @t25)) % 241.85/242.16 (define @t28 () (_ tptp.mimplies @t27)) % 241.85/242.16 (define @t29 () (@list @t25 @t1)) % 241.85/242.16 (define @t30 () (lambda @t29 (_ (_ @t28 (_ tptp.mnot (_ @t9 @t26))) @t1))) % 241.85/242.16 (define @t31 () (_ @t12 @t25)) % 241.85/242.16 (define @t32 () (_ tptp.mimplies @t31)) % 241.85/242.16 (define @t33 () (_ @t13 @t25)) % 241.85/242.16 (define @t34 () (_ tptp.mimplies @t33)) % 241.85/242.16 (define @t35 () (_ @t4 @t25)) % 241.85/242.16 (define @t36 () (_ tptp.mimplies @t35)) % 241.85/242.16 (define @t37 () (_ @t11 @t25)) % 241.85/242.16 (define @t38 () (_ tptp.mimplies @t37)) % 241.85/242.16 (define @t39 () (lambda @t29 (_ (_ @t36 @t27) @t1))) % 241.85/242.16 (define @t40 () (_ tptp.mnot @t27)) % 241.85/242.16 (define @t41 () (_ tptp.mnot @t31)) % 241.85/242.16 (define @t42 () (_ tptp.mnot @t33)) % 241.85/242.16 (define @t43 () (_ tptp.mnot @t35)) % 241.85/242.16 (define @t44 () (_ tptp.mnot @t37)) % 241.85/242.16 (define @t45 () (lambda @t7 (_ @t15 @t1))) % 241.85/242.16 (define @t46 () (not (_ tptp.mvalid (_ tptp.mexists_ind @t45)))) % 241.85/242.16 (define @t47 () (@var "Y" tptp.mu)) % 241.85/242.16 (define @t48 () (@var "W" $$unsorted)) % 241.85/242.16 (define @t49 () (lambda (@list @t2 @t47 @t48) (= @t2 @t47))) % 241.85/242.16 (define @t50 () (@var "Y" (-> $$unsorted Bool))) % 241.85/242.16 (define @t51 () (@var "X" (-> $$unsorted Bool))) % 241.85/242.16 (define @t52 () (lambda (@list @t51 @t50 @t48) (= (_ @t51 @t48) (_ @t50 @t48)))) % 241.85/242.16 (define @t53 () (_ @t25 @t48)) % 241.85/242.16 (define @t54 () (not @t53)) % 241.85/242.16 (define @t55 () (@list @t25 @t48)) % 241.85/242.16 (define @t56 () (lambda @t55 @t54)) % 241.85/242.16 (define @t57 () (@var "Psi" (-> $$unsorted Bool))) % 241.85/242.16 (define @t58 () (_ @t57 @t48)) % 241.85/242.16 (define @t59 () (lambda (@list @t25 @t57 @t48) (or @t53 @t58))) % 241.85/242.16 (define @t60 () (_ tptp.mnot @t57)) % 241.85/242.16 (define @t61 () (_ tptp.mor @t26)) % 241.85/242.16 (define @t62 () (@list @t25 @t57 @t1)) % 241.85/242.16 (define @t63 () (lambda @t62 (_ (_ tptp.mnot (_ @t61 @t60)) @t1))) % 241.85/242.16 (define @t64 () (lambda @t62 (_ (_ @t61 @t57) @t1))) % 241.85/242.16 (define @t65 () (lambda @t62 (_ (_ (_ tptp.mor @t60) @t25) @t1))) % 241.85/242.16 (define @t66 () (lambda @t62 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t25) @t57)) (_ (_ tptp.mimplies @t57) @t25)) @t1))) % 241.85/242.16 (define @t67 () (lambda @t62 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t25) @t57)) @t1))) % 241.85/242.16 (define @t68 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 241.85/242.16 (define @t69 () (_ @t68 @t2)) % 241.85/242.16 (define @t70 () (_ @t69 @t48)) % 241.85/242.16 (define @t71 () (@list @t2)) % 241.85/242.16 (define @t72 () (forall @t71 @t70)) % 241.85/242.16 (define @t73 () (@list @t68 @t48)) % 241.85/242.16 (define @t74 () (lambda @t73 @t72)) % 241.85/242.16 (define @t75 () (@var "P" (-> $$unsorted Bool))) % 241.85/242.16 (define @t76 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 241.85/242.16 (define @t77 () (_ @t76 @t75)) % 241.85/242.16 (define @t78 () (_ @t77 @t48)) % 241.85/242.16 (define @t79 () (@list @t75)) % 241.85/242.16 (define @t80 () (forall @t79 @t78)) % 241.85/242.16 (define @t81 () (@list @t76 @t48)) % 241.85/242.16 (define @t82 () (lambda @t81 @t80)) % 241.85/242.16 (define @t83 () (lambda @t7 (_ (_ tptp.mnot @t69) @t1))) % 241.85/242.16 (define @t84 () (@list @t68 @t1)) % 241.85/242.16 (define @t85 () (lambda @t84 (_ (_ tptp.mnot (_ tptp.mforall_ind @t83)) @t1))) % 241.85/242.16 (define @t86 () (lambda (@list @t76 @t1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t75 @t1) (_ (_ tptp.mnot @t77) @t1)))) @t1))) % 241.85/242.16 (define @t87 () (@list @t48)) % 241.85/242.16 (define @t88 () (lambda @t87 true)) % 241.85/242.16 (define @t89 () (@var "V" $$unsorted)) % 241.85/242.16 (define @t90 () (_ @t25 @t89)) % 241.85/242.16 (define @t91 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 241.85/242.16 (define @t92 () (_ (_ @t91 @t48) @t89)) % 241.85/242.16 (define @t93 () (not @t92)) % 241.85/242.16 (define @t94 () (or @t93 @t90)) % 241.85/242.16 (define @t95 () (@list @t89)) % 241.85/242.16 (define @t96 () (forall @t95 @t94)) % 241.85/242.16 (define @t97 () (@list @t91 @t25 @t48)) % 241.85/242.16 (define @t98 () (lambda @t97 @t96)) % 241.85/242.16 (define @t99 () (@list @t91 @t25 @t1)) % 241.85/242.16 (define @t100 () (lambda @t99 (_ (_ tptp.mnot (_ (_ tptp.mbox @t91) @t26)) @t1))) % 241.85/242.16 (define @t101 () (@var "S" $$unsorted)) % 241.85/242.16 (define @t102 () (_ @t91 @t101)) % 241.85/242.16 (define @t103 () (@list @t101)) % 241.85/242.16 (define @t104 () (@list @t91)) % 241.85/242.16 (define @t105 () (lambda @t104 (forall @t103 (_ @t102 @t101)))) % 241.85/242.16 (define @t106 () (@var "T" $$unsorted)) % 241.85/242.16 (define @t107 () (_ @t91 @t106)) % 241.85/242.16 (define @t108 () (_ @t102 @t106)) % 241.85/242.16 (define @t109 () (lambda @t104 (forall (@list @t101 @t106) (=> @t108 (_ @t107 @t101))))) % 241.85/242.16 (define @t110 () (@list @t106)) % 241.85/242.16 (define @t111 () (lambda @t104 (forall @t103 (exists @t110 @t108)))) % 241.85/242.16 (define @t112 () (@var "U" $$unsorted)) % 241.85/242.16 (define @t113 () (_ @t102 @t112)) % 241.85/242.16 (define @t114 () (_ @t107 @t112)) % 241.85/242.16 (define @t115 () (@list @t101 @t106 @t112)) % 241.85/242.16 (define @t116 () (lambda @t104 (forall @t115 (=> (and @t108 @t114) @t113)))) % 241.85/242.16 (define @t117 () (and @t108 @t113)) % 241.85/242.16 (define @t118 () (lambda @t104 (forall @t115 (=> @t117 @t114)))) % 241.85/242.16 (define @t119 () (= @t106 @t112)) % 241.85/242.16 (define @t120 () (lambda @t104 (forall @t115 (=> @t117 @t119)))) % 241.85/242.16 (define @t121 () (@list @t112)) % 241.85/242.16 (define @t122 () (lambda @t104 (forall @t103 (exists @t110 (and @t108 (forall @t121 (=> @t113 @t119))))))) % 241.85/242.16 (define @t123 () (_ @t91 @t112)) % 241.85/242.16 (define @t124 () (_ @t123 @t106)) % 241.85/242.16 (define @t125 () (lambda @t104 (forall @t115 (=> @t108 (exists @t121 (and @t113 @t124)))))) % 241.85/242.16 (define @t126 () (lambda @t104 (forall @t115 (=> @t117 (or @t114 @t119 @t124))))) % 241.85/242.16 (define @t127 () (lambda @t104 (forall @t115 (=> @t117 (exists @t95 (and (_ @t107 @t89) (_ @t123 @t89))))))) % 241.85/242.16 (define @t128 () (forall @t87 @t53)) % 241.85/242.16 (define @t129 () (@list @t25)) % 241.85/242.16 (define @t130 () (lambda @t129 @t128)) % 241.85/242.16 (define @t131 () (lambda @t129 (forall @t87 @t54))) % 241.85/242.16 (define @t132 () (lambda @t129 (exists @t87 @t53))) % 241.85/242.16 (define @t133 () (lambda @t129 (exists @t87 @t54))) % 241.85/242.16 (define @t134 () (@var "BOUND_VARIABLE_10785" $$unsorted)) % 241.85/242.16 (define @t135 () (@var "BOUND_VARIABLE_13629" (@ho-elim-sort (-> $$unsorted Bool)))) % 241.85/242.16 (define @t136 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 241.85/242.16 (define @t137 () (@const 1 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 241.85/242.16 (define @t138 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 241.85/242.16 (define @t139 () (_ @t138 @t137 @t48)) % 241.85/242.16 (define @t140 () (_ @t136 @t135 @t89)) % 241.85/242.16 (define @t141 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 241.85/242.16 (define @t142 () (_ @t138 @t141 @t48)) % 241.85/242.16 (define @t143 () (forall (@list @t48 @t135 @t134) (or (not (forall @t95 (or (not (_ @t136 @t142 @t89)) @t140))) (not (_ @t136 @t139 @t134)) (_ @t136 @t135 @t134)))) % 241.85/242.16 (define @t144 () (_ @t75 @t134)) % 241.85/242.16 (define @t145 () (not (tptp.r1 @t48 @t134))) % 241.85/242.16 (define @t146 () (_ @t75 @t89)) % 241.85/242.16 (define @t147 () (not (tptp.r4 @t48 @t89))) % 241.85/242.16 (define @t148 () (not (forall @t95 (or @t147 @t146)))) % 241.85/242.16 (define @t149 () (or @t148 @t145 @t144)) % 241.85/242.16 (define @t150 () (forall (@list @t48 @t75 @t134) @t149)) % 241.85/242.16 (define @t151 () (@list @t75 @t134)) % 241.85/242.16 (define @t152 () (forall @t151 @t149)) % 241.85/242.16 (define @t153 () (lambda @t87 @t152)) % 241.85/242.16 (define @t154 () (_ @t153 @t48)) % 241.85/242.16 (define @t155 () (forall @t87 @t154)) % 241.85/242.16 (define @t156 () (_ @t25 @t48)) % 241.85/242.16 (define @t157 () (lambda @t129 (forall @t87 @t156))) % 241.85/242.16 (define @t158 () (or @t145 @t144)) % 241.85/242.16 (define @t159 () (or @t148 @t158)) % 241.85/242.16 (define @t160 () (forall @t151 @t159)) % 241.85/242.16 (define @t161 () (@list @t134)) % 241.85/242.16 (define @t162 () (forall @t161 @t159)) % 241.85/242.16 (define @t163 () (forall @t161 @t158)) % 241.85/242.16 (define @t164 () (@list @t89)) % 241.85/242.16 (define @t165 () (or @t148 @t163)) % 241.85/242.16 (define @t166 () (not (tptp.r1 @t48 @t89))) % 241.85/242.16 (define @t167 () (forall @t95 (or @t166 @t146))) % 241.85/242.16 (define @t168 () (or @t148 @t167)) % 241.85/242.16 (define @t169 () (_ @t25 @t89)) % 241.85/242.16 (define @t170 () (not (tptp.r1 @t1 @t89))) % 241.85/242.16 (define @t171 () (forall @t95 (or @t170 @t169))) % 241.85/242.16 (define @t172 () (not (tptp.r4 @t1 @t89))) % 241.85/242.16 (define @t173 () (forall @t95 (or @t172 @t169))) % 241.85/242.16 (define @t174 () (not @t173)) % 241.85/242.16 (define @t175 () (or @t174 @t171)) % 241.85/242.16 (define @t176 () (lambda @t29 @t175)) % 241.85/242.16 (define @t177 () (_ @t176 @t75 @t48)) % 241.85/242.16 (define @t178 () (forall @t79 @t177)) % 241.85/242.16 (define @t179 () (lambda @t87 @t178)) % 241.85/242.16 (define @t180 () (_ @t76 @t75 @t48)) % 241.85/242.16 (define @t181 () (lambda @t81 (forall @t79 @t180))) % 241.85/242.16 (define @t182 () (@list @t1)) % 241.85/242.16 (define @t183 () (forall @t95 (or @t166 @t169))) % 241.85/242.16 (define @t184 () (lambda @t87 @t183)) % 241.85/242.16 (define @t185 () (_ @t184 @t1)) % 241.85/242.16 (define @t186 () (or @t174 @t185)) % 241.85/242.16 (define @t187 () (lambda @t182 @t186)) % 241.85/242.16 (define @t188 () (_ @t57 @t1)) % 241.85/242.16 (define @t189 () (@list @t57 @t1)) % 241.85/242.16 (define @t190 () (lambda @t55 @t183)) % 241.85/242.16 (define @t191 () (_ @t91 @t48 @t89)) % 241.85/242.16 (define @t192 () (not @t191)) % 241.85/242.16 (define @t193 () (forall @t95 (or @t192 @t169))) % 241.85/242.16 (define @t194 () (lambda @t97 @t193)) % 241.85/242.16 (define @t195 () (_ @t194 tptp.r1)) % 241.85/242.16 (define @t196 () (forall @t95 (or @t147 @t169))) % 241.85/242.16 (define @t197 () (lambda @t87 @t196)) % 241.85/242.16 (define @t198 () (_ @t197 @t1)) % 241.85/242.16 (define @t199 () (not @t198)) % 241.85/242.16 (define @t200 () (or @t199 @t188)) % 241.85/242.16 (define @t201 () (lambda @t189 @t200)) % 241.85/242.16 (define @t202 () (or (not (_ @t25 @t1)) @t188)) % 241.85/242.16 (define @t203 () (lambda @t62 @t202)) % 241.85/242.16 (define @t204 () (lambda @t55 @t196)) % 241.85/242.16 (define @t205 () (_ @t194 tptp.r4)) % 241.85/242.16 (define @t206 () (_ @t195 @t25)) % 241.85/242.16 (define @t207 () (or @t54 @t58)) % 241.85/242.16 (define @t208 () (lambda @t87 @t207)) % 241.85/242.16 (define @t209 () (@list @t57 @t48)) % 241.85/242.16 (define @t210 () (lambda @t87 @t54)) % 241.85/242.16 (define @t211 () (_ @t210 @t48)) % 241.85/242.16 (define @t212 () (or @t211 @t58)) % 241.85/242.16 (define @t213 () (lambda @t209 @t212)) % 241.85/242.16 (define @t214 () (_ @t56 @t25)) % 241.85/242.16 (define @t215 () (@const 4 (@ho-elim-sort (-> tptp.mu $$unsorted Bool)))) % 241.85/242.16 (define @t216 () (@const 5 (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> $$unsorted Bool))))) % 241.85/242.16 (define @t217 () (_ @t216 @t215 @t2)) % 241.85/242.16 (define @t218 () (not (_ @t136 @t217 @t89))) % 241.85/242.16 (define @t219 () (not (_ @t136 @t139 @t89))) % 241.85/242.16 (define @t220 () (@list @t2 @t89)) % 241.85/242.16 (define @t221 () (forall @t87 (not (forall @t220 (or @t219 @t218))))) % 241.85/242.16 (define @t222 () (not @t221)) % 241.85/242.16 (define @t223 () (tptp.good_in_maths @t2 @t89)) % 241.85/242.16 (define @t224 () (not @t223)) % 241.85/242.16 (define @t225 () (not (forall @t220 (or @t166 @t224)))) % 241.85/242.16 (define @t226 () (or @t170 @t224)) % 241.85/242.16 (define @t227 () (forall @t220 @t226)) % 241.85/242.16 (define @t228 () (lambda @t182 (not @t227))) % 241.85/242.16 (define @t229 () (_ @t228 @t48)) % 241.85/242.16 (define @t230 () (forall @t87 @t229)) % 241.85/242.16 (define @t231 () (forall @t95 @t226)) % 241.85/242.16 (define @t232 () (not @t231)) % 241.85/242.16 (define @t233 () (lambda @t7 @t232)) % 241.85/242.16 (define @t234 () (_ @t233 @t2 @t1)) % 241.85/242.16 (define @t235 () (not @t234)) % 241.85/242.16 (define @t236 () (forall @t71 @t235)) % 241.85/242.16 (define @t237 () (not @t236)) % 241.85/242.16 (define @t238 () (lambda @t182 @t237)) % 241.85/242.16 (define @t239 () (not (forall @t71 (not (_ @t68 @t2 @t1))))) % 241.85/242.16 (define @t240 () (lambda @t84 @t239)) % 241.85/242.16 (define @t241 () (_ @t3 @t89)) % 241.85/242.16 (define @t242 () (not @t241)) % 241.85/242.16 (define @t243 () (or @t170 @t242)) % 241.85/242.16 (define @t244 () (_ @t3 @t89)) % 241.85/242.16 (define @t245 () (not @t244)) % 241.85/242.16 (define @t246 () (or @t170 @t245)) % 241.85/242.16 (define @t247 () (forall @t95 @t246)) % 241.85/242.16 (define @t248 () (not @t247)) % 241.85/242.16 (define @t249 () (lambda @t182 @t248)) % 241.85/242.16 (define @t250 () (not @t169)) % 241.85/242.16 (define @t251 () (not (forall @t95 (or @t170 @t250)))) % 241.85/242.16 (define @t252 () (lambda @t29 @t251)) % 241.85/242.16 (define @t253 () (not (forall @t95 (or (not (_ @t91 @t1 @t89)) @t250)))) % 241.85/242.16 (define @t254 () (_ (lambda @t99 @t253) tptp.r1)) % 241.85/242.16 (define @t255 () (lambda @t7 (_ (_ @t254 @t3) @t1))) % 241.85/242.16 (define @t256 () (forall @t95 (or @t192 @t250))) % 241.85/242.16 (define @t257 () (lambda @t87 @t256)) % 241.85/242.16 (define @t258 () (_ @t257 @t48)) % 241.85/242.16 (define @t259 () (not @t258)) % 241.85/242.16 (define @t260 () (lambda @t87 @t259)) % 241.85/242.16 (define @t261 () (not @t90)) % 241.85/242.16 (define @t262 () (or @t192 @t261)) % 241.85/242.16 (define @t263 () (_ @t210 @t89)) % 241.85/242.16 (define @t264 () (or @t192 @t263)) % 241.85/242.16 (define @t265 () (forall @t95 @t264)) % 241.85/242.16 (define @t266 () (lambda @t87 @t265)) % 241.85/242.16 (define @t267 () (lambda @t55 @t193)) % 241.85/242.16 (define @t268 () (_ @t68 @t2 @t48)) % 241.85/242.16 (define @t269 () (forall @t71 (not @t268))) % 241.85/242.16 (define @t270 () (lambda @t87 @t269)) % 241.85/242.16 (define @t271 () (_ @t270 @t48)) % 241.85/242.16 (define @t272 () (not @t271)) % 241.85/242.16 (define @t273 () (lambda @t87 @t272)) % 241.85/242.16 (define @t274 () (not @t70)) % 241.85/242.16 (define @t275 () (not (_ @t69 @t1))) % 241.85/242.16 (define @t276 () (lambda @t7 @t275)) % 241.85/242.16 (define @t277 () (_ @t276 @t2 @t48)) % 241.85/242.16 (define @t278 () (forall @t71 @t277)) % 241.85/242.16 (define @t279 () (lambda @t87 @t278)) % 241.85/242.16 (define @t280 () (lambda @t73 (forall @t71 @t268))) % 241.85/242.16 (define @t281 () (lambda @t87 @t274)) % 241.85/242.16 (define @t282 () (_ @t56 @t69)) % 241.85/242.16 (define @t283 () (@quantifiers_skolemize @t221 0)) % 241.85/242.16 (define @t284 () (_ @t138 @t137 @t283)) % 241.85/242.16 (define @t285 () (not (_ @t136 @t284 @t89))) % 241.85/242.16 (define @t286 () (forall @t220 (or @t285 @t218))) % 241.85/242.16 (define @t287 () (not (not @t286))) % 241.85/242.16 (define @t288 () (@list true)) % 241.85/242.16 (define @t289 () (@const 6 (@ho-elim-sort (-> tptp.mu $$unsorted Bool)))) % 241.85/242.16 (define @t290 () (_ @t216 @t289 tptp.john)) % 241.85/242.16 (define @t291 () (@purify @t290)) % 241.85/242.16 (define @t292 () (_ @t136 @t291 @t89)) % 241.85/242.16 (define @t293 () (forall @t95 (or @t285 (not @t292)))) % 241.85/242.16 (define @t294 () (@quantifiers_skolemize @t293 0)) % 241.85/242.16 (define @t295 () (or (not @t167) (not (forall @t95 (or @t166 (not @t146)))))) % 241.85/242.16 (define @t296 () (forall (@list @t48 @t75) @t295)) % 241.85/242.16 (define @t297 () (forall @t79 @t295)) % 241.85/242.16 (define @t298 () (lambda @t87 @t297)) % 241.85/242.16 (define @t299 () (_ @t298 @t48)) % 241.85/242.16 (define @t300 () (forall @t87 @t299)) % 241.85/242.16 (define @t301 () (not @t171)) % 241.85/242.16 (define @t302 () (or @t301 @t251)) % 241.85/242.16 (define @t303 () (lambda @t29 @t302)) % 241.85/242.16 (define @t304 () (_ @t303 @t75 @t48)) % 241.85/242.16 (define @t305 () (forall @t79 @t304)) % 241.85/242.16 (define @t306 () (lambda @t87 @t305)) % 241.85/242.16 (define @t307 () (forall @t95 (or @t166 @t250))) % 241.85/242.16 (define @t308 () (lambda @t87 (not @t307))) % 241.85/242.16 (define @t309 () (_ @t308 @t1)) % 241.85/242.16 (define @t310 () (or @t301 @t309)) % 241.85/242.16 (define @t311 () (lambda @t182 @t310)) % 241.85/242.16 (define @t312 () (lambda @t87 @t307)) % 241.85/242.16 (define @t313 () (_ @t312 @t48)) % 241.85/242.16 (define @t314 () (not @t313)) % 241.85/242.16 (define @t315 () (lambda @t87 @t314)) % 241.85/242.16 (define @t316 () (or @t166 @t261)) % 241.85/242.16 (define @t317 () (or @t166 @t263)) % 241.85/242.16 (define @t318 () (forall @t95 @t317)) % 241.85/242.16 (define @t319 () (lambda @t87 @t318)) % 241.85/242.16 (define @t320 () (not @t185)) % 241.85/242.16 (define @t321 () (or @t320 @t188)) % 241.85/242.16 (define @t322 () (lambda @t189 @t321)) % 241.85/242.16 (define @t323 () (tptp.maths_teacher tptp.john @t48)) % 241.85/242.16 (define @t324 () (_ @t24 @t48)) % 241.85/242.16 (define @t325 () (_ @t24 @t48)) % 241.85/242.16 (define @t326 () (forall @t87 @t325)) % 241.85/242.16 (define @t327 () (forall @t95 (or @t285 @t292))) % 241.85/242.16 (define @t328 () (@quantifiers_skolemize @t327 0)) % 241.85/242.16 (define @t329 () (_ @t136 @t291 @t328)) % 241.85/242.16 (define @t330 () (or (not (_ @t136 @t284 @t328)) @t329)) % 241.85/242.16 (define @t331 () (@list false)) % 241.85/242.16 (define @t332 () (not @t330)) % 241.85/242.16 (define @t333 () (not @t327)) % 241.85/242.16 (define @t334 () (not @t293)) % 241.85/242.16 (define @t335 () (or @t333 @t334)) % 241.85/242.16 (define @t336 () (@list false false)) % 241.85/242.16 (define @t337 () (_ @t136 @t284 @t294)) % 241.85/242.16 (define @t338 () (not @t337)) % 241.85/242.16 (define @t339 () (or @t338 (not (_ @t136 @t291 @t294)))) % 241.85/242.16 (define @t340 () (not @t339)) % 241.85/242.16 (define @t341 () (_ @t216 @t215 tptp.john)) % 241.85/242.16 (define @t342 () (_ @t136 @t341 @t294)) % 241.85/242.16 (define @t343 () (not @t342)) % 241.85/242.16 (define @t344 () (or @t338 @t343)) % 241.85/242.16 (define @t345 () (_ @t138 @t141 @t283)) % 241.85/242.16 (define @t346 () (forall @t95 (or (not (_ @t136 @t345 @t89)) (_ @t136 @t341 @t89)))) % 241.85/242.16 (define @t347 () (@quantifiers_skolemize @t346 0)) % 241.85/242.16 (define @t348 () (_ @t136 @t345 @t347)) % 241.85/242.16 (define @t349 () (_ @t136 @t341 @t347)) % 241.85/242.16 (define @t350 () (not @t348)) % 241.85/242.16 (define @t351 () (or @t350 @t349)) % 241.85/242.16 (define @t352 () (@var "BOUND_VARIABLE_8834" $$unsorted)) % 241.85/242.16 (define @t353 () (@list @t48 @t2 @t352)) % 241.85/242.16 (define @t354 () (tptp.good_in_maths @t2 @t352)) % 241.85/242.16 (define @t355 () (not (tptp.r4 @t48 @t352))) % 241.85/242.16 (define @t356 () (tptp.maths_teacher @t2 @t48)) % 241.85/242.16 (define @t357 () (not @t356)) % 241.85/242.16 (define @t358 () (or @t357 @t355 @t354)) % 241.85/242.16 (define @t359 () (forall @t353 @t358)) % 241.85/242.16 (define @t360 () (@list @t2 @t352)) % 241.85/242.16 (define @t361 () (forall @t360 @t358)) % 241.85/242.16 (define @t362 () (lambda @t87 @t361)) % 241.85/242.16 (define @t363 () (_ @t362 @t48)) % 241.85/242.16 (define @t364 () (forall @t87 @t363)) % 241.85/242.16 (define @t365 () (or @t355 @t354)) % 241.85/242.16 (define @t366 () (or @t357 @t365)) % 241.85/242.16 (define @t367 () (forall @t360 @t366)) % 241.85/242.16 (define @t368 () (@list @t352)) % 241.85/242.16 (define @t369 () (forall @t368 @t366)) % 241.85/242.16 (define @t370 () (forall @t368 @t365)) % 241.85/242.16 (define @t371 () (or @t357 @t370)) % 241.85/242.16 (define @t372 () (forall @t95 (or @t147 @t223))) % 241.85/242.16 (define @t373 () (_ @t6 @t48)) % 241.85/242.16 (define @t374 () (not @t373)) % 241.85/242.16 (define @t375 () (or @t374 @t372)) % 241.85/242.16 (define @t376 () (forall @t95 (or @t172 @t223))) % 241.85/242.16 (define @t377 () (not (_ @t6 @t1))) % 241.85/242.16 (define @t378 () (or @t377 @t376)) % 241.85/242.16 (define @t379 () (lambda @t7 @t378)) % 241.85/242.16 (define @t380 () (_ @t379 @t2 @t48)) % 241.85/242.16 (define @t381 () (forall @t71 @t380)) % 241.85/242.16 (define @t382 () (lambda @t87 @t381)) % 241.85/242.16 (define @t383 () (lambda @t87 @t372)) % 241.85/242.16 (define @t384 () (_ @t383 @t1)) % 241.85/242.16 (define @t385 () (or @t377 @t384)) % 241.85/242.16 (define @t386 () (lambda @t182 @t385)) % 241.85/242.16 (define @t387 () (lambda @t189 (or @t377 @t188))) % 241.85/242.16 (define @t388 () (or @t147 @t241)) % 241.85/242.16 (define @t389 () (or @t147 @t244)) % 241.85/242.16 (define @t390 () (forall @t95 @t389)) % 241.85/242.16 (define @t391 () (lambda @t87 @t390)) % 241.85/242.16 (define @t392 () (_ @t203 @t6)) % 241.85/242.16 (define @t393 () (_ @t136 @t290 @t283)) % 241.85/242.16 (define @t394 () (not @t393)) % 241.85/242.16 (define @t395 () (or @t394 @t350 @t349)) % 241.85/242.16 (define @t396 () (not @t351)) % 241.85/242.16 (define @t397 () (not @t346)) % 241.85/242.16 (define @t398 () (or @t397 @t338 @t342)) % 241.85/242.16 (define @t399 () (not @t398)) % 241.85/242.16 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 241.85/242.16 (assume @p2 (_ tptp.mvalid (_ tptp.mforall_ind @t8))) % 241.85/242.16 (assume @p3 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t11 (_ (_ tptp.mimplies (_ @t9 @t10)) (_ @t9 @t3))) @t1))))) % 241.85/242.16 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t11 (_ (_ tptp.mimplies (_ @t12 @t10)) (_ @t12 @t3))) @t1))))) % 241.85/242.16 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t11 (_ (_ tptp.mimplies (_ @t13 @t10)) (_ @t13 @t3))) @t1))))) % 241.85/242.16 (assume @p6 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t11 (_ (_ tptp.mimplies (_ @t4 @t10)) @t5)) @t1))))) % 241.85/242.16 (assume @p7 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t11 (_ (_ tptp.mimplies (_ @t11 @t10)) (_ @t11 @t3))) @t1))))) % 241.85/242.16 (assume @p8 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t16 @t15)) @t1))))) % 241.85/242.16 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t16 @t18)) @t1))))) % 241.85/242.16 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t16 (_ @t19 @t3))) @t1))))) % 241.85/242.16 (assume @p11 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t16 (_ @t20 @t3))) @t1))))) % 241.85/242.16 (assume @p12 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t16 (_ @t21 @t3))) @t1))))) % 241.85/242.16 (assume @p13 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t23 (_ @t14 @t22))) @t1))))) % 241.85/242.16 (assume @p14 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t23 (_ @t17 @t22))) @t1))))) % 241.85/242.16 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t23 (_ @t19 @t22))) @t1))))) % 241.85/242.16 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t23 (_ @t20 @t22))) @t1))))) % 241.85/242.16 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t23 (_ @t21 @t22))) @t1))))) % 241.85/242.16 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t12 (_ (_ tptp.mimplies @t22) @t18)) @t1))))) % 241.85/242.16 (assume @p19 (_ tptp.mvalid @t24)) % 241.85/242.16 (assume @p20 (_ tptp.mvalid (_ @t12 (_ tptp.mathematician tptp.tom)))) % 241.85/242.16 (assume @p21 (_ tptp.mvalid (_ @t11 (_ tptp.maths_student tptp.peter)))) % 241.85/242.16 (assume @p22 (_ tptp.mvalid (_ @t11 (_ tptp.physics_student tptp.mike)))) % 241.85/242.16 (assume @p23 (_ tptp.mvalid (_ tptp.mforall_prop @t30))) % 241.85/242.16 (assume @p24 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t32 (_ tptp.mnot (_ @t12 @t26))) @t1))))) % 241.85/242.16 (assume @p25 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t34 (_ tptp.mnot (_ @t13 @t26))) @t1))))) % 241.85/242.16 (assume @p26 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t36 (_ tptp.mnot (_ @t4 @t26))) @t1))))) % 241.85/242.16 (assume @p27 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t38 (_ tptp.mnot (_ @t11 @t26))) @t1))))) % 241.85/242.16 (assume @p28 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t32 @t27) @t1))))) % 241.85/242.16 (assume @p29 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t34 @t27) @t1))))) % 241.85/242.16 (assume @p30 (_ tptp.mvalid (_ tptp.mforall_prop @t39))) % 241.85/242.16 (assume @p31 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t38 @t27) @t1))))) % 241.85/242.16 (assume @p32 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t34 @t31) @t1))))) % 241.85/242.16 (assume @p33 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t36 @t31) @t1))))) % 241.85/242.16 (assume @p34 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t38 @t31) @t1))))) % 241.85/242.16 (assume @p35 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t36 @t33) @t1))))) % 241.85/242.16 (assume @p36 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t38 @t33) @t1))))) % 241.85/242.16 (assume @p37 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t38 @t35) @t1))))) % 241.85/242.16 (assume @p38 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t28 (_ @t9 @t27)) @t1))))) % 241.85/242.16 (assume @p39 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t28 (_ @t12 @t27)) @t1))))) % 241.85/242.16 (assume @p40 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t28 (_ @t13 @t27)) @t1))))) % 241.85/242.16 (assume @p41 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t28 (_ @t4 @t27)) @t1))))) % 241.85/242.16 (assume @p42 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t28 (_ @t11 @t27)) @t1))))) % 241.85/242.16 (assume @p43 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t32 (_ @t9 @t31)) @t1))))) % 241.85/242.16 (assume @p44 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t32 (_ @t12 @t31)) @t1))))) % 241.85/242.16 (assume @p45 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t32 (_ @t13 @t31)) @t1))))) % 241.85/242.16 (assume @p46 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t32 (_ @t4 @t31)) @t1))))) % 241.85/242.16 (assume @p47 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t32 (_ @t11 @t31)) @t1))))) % 241.85/242.16 (assume @p48 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t34 (_ @t9 @t33)) @t1))))) % 241.85/242.16 (assume @p49 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t34 (_ @t12 @t33)) @t1))))) % 241.85/242.16 (assume @p50 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t34 (_ @t13 @t33)) @t1))))) % 241.85/242.16 (assume @p51 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t34 (_ @t4 @t33)) @t1))))) % 241.85/242.16 (assume @p52 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t34 (_ @t11 @t33)) @t1))))) % 241.85/242.16 (assume @p53 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t36 (_ @t9 @t35)) @t1))))) % 241.85/242.16 (assume @p54 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t36 (_ @t12 @t35)) @t1))))) % 241.85/242.16 (assume @p55 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t36 (_ @t13 @t35)) @t1))))) % 241.85/242.16 (assume @p56 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t36 (_ @t4 @t35)) @t1))))) % 241.85/242.16 (assume @p57 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t36 (_ @t11 @t35)) @t1))))) % 241.85/242.16 (assume @p58 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t38 (_ @t9 @t37)) @t1))))) % 241.85/242.16 (assume @p59 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t38 (_ @t12 @t37)) @t1))))) % 241.85/242.16 (assume @p60 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t38 (_ @t13 @t37)) @t1))))) % 241.85/242.16 (assume @p61 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t38 (_ @t4 @t37)) @t1))))) % 241.85/242.16 (assume @p62 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t38 (_ @t11 @t37)) @t1))))) % 241.85/242.16 (assume @p63 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ (_ tptp.mimplies @t40) (_ @t9 @t40)) @t1))))) % 241.85/242.16 (assume @p64 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ (_ tptp.mimplies @t41) (_ @t12 @t41)) @t1))))) % 241.85/242.16 (assume @p65 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ (_ tptp.mimplies @t42) (_ @t13 @t42)) @t1))))) % 241.85/242.16 (assume @p66 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ (_ tptp.mimplies @t43) (_ @t4 @t43)) @t1))))) % 241.85/242.16 (assume @p67 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ (_ tptp.mimplies @t44) (_ @t11 @t44)) @t1))))) % 241.85/242.16 (assume @p68 @t46) % 241.85/242.16 (assume @p69 true) % 241.85/242.16 (step @p70 (= tptp.meq_ind @t49) :rule refl :args (@t49)) % 241.85/242.16 (step @p71 (= tptp.meq_prop @t52) :rule refl :args (@t52)) % 241.85/242.16 (step @p72 (= tptp.mnot @t56) :rule refl :args (@t56)) % 241.85/242.16 (step @p73 (= tptp.mor @t59) :rule refl :args (@t59)) % 241.85/242.16 (step @p74 (= tptp.mand @t63) :rule refl :args (@t63)) % 241.85/242.16 (step @p75 (= tptp.mimplies @t64) :rule refl :args (@t64)) % 241.85/242.16 (step @p76 (= tptp.mimplied @t65) :rule refl :args (@t65)) % 241.85/242.16 (step @p77 (= tptp.mequiv @t66) :rule refl :args (@t66)) % 241.85/242.16 (step @p78 (= tptp.mxor @t67) :rule refl :args (@t67)) % 241.85/242.16 (step @p79 (= tptp.mforall_ind @t74) :rule refl :args (@t74)) % 241.85/242.16 (step @p80 (= tptp.mforall_prop @t82) :rule refl :args (@t82)) % 241.85/242.16 (step @p81 (= tptp.mexists_ind @t85) :rule refl :args (@t85)) % 241.85/242.16 (step @p82 (= tptp.mexists_prop @t86) :rule refl :args (@t86)) % 241.85/242.16 (step @p83 (= tptp.mtrue @t88) :rule refl :args (@t88)) % 241.85/242.16 (step @p84 (= tptp.mbox @t98) :rule refl :args (@t98)) % 241.85/242.16 (step @p85 (= tptp.mdia @t100) :rule refl :args (@t100)) % 241.85/242.16 (step @p86 (= tptp.mreflexive @t105) :rule refl :args (@t105)) % 241.85/242.16 (step @p87 (= tptp.msymmetric @t109) :rule refl :args (@t109)) % 241.85/242.16 (step @p88 (= tptp.mserial @t111) :rule refl :args (@t111)) % 241.85/242.16 (step @p89 (= tptp.mtransitive @t116) :rule refl :args (@t116)) % 241.85/242.16 (step @p90 (= tptp.meuclidean @t118) :rule refl :args (@t118)) % 241.85/242.16 (step @p91 (= tptp.mpartially_functional @t120) :rule refl :args (@t120)) % 241.85/242.16 (step @p92 (= tptp.mfunctional @t122) :rule refl :args (@t122)) % 241.85/242.16 (step @p93 (= tptp.mweakly_dense @t125) :rule refl :args (@t125)) % 241.85/242.16 (step @p94 (= tptp.mweakly_connected @t126) :rule refl :args (@t126)) % 241.85/242.16 (step @p95 (= tptp.mweakly_directed @t127) :rule refl :args (@t127)) % 241.85/242.16 (step @p96 (= tptp.mvalid @t130) :rule refl :args (@t130)) % 241.85/242.16 (step @p97 (= tptp.minvalid @t131) :rule refl :args (@t131)) % 241.85/242.16 (step @p98 (= tptp.msatisfiable @t132) :rule refl :args (@t132)) % 241.85/242.16 (step @p99 (= tptp.mcountersatisfiable @t133) :rule refl :args (@t133)) % 241.85/242.16 ; WARNING: add trust step for TRUST % 241.85/242.16 ; trust TRUST PREPROCESS_HO_ELIM % 241.85/242.16 (step @p100 :rule trust :premises () :args ((= @t150 @t143))) % 241.85/242.16 (step @p101 :rule quant-merge-prenex :args ((= (forall @t87 @t152) @t150))) % 241.85/242.16 (step @p102 :rule beta-reduce :args ((= @t154 @t152))) % 241.85/242.16 (step @p103 :rule cong :premises (@p102) :args (@t155)) % 241.85/242.16 (step @p104 :rule trans :premises (@p103 @p101)) % 241.85/242.16 (step @p105 :rule beta-reduce :args ((= (_ @t157 @t153) @t155))) % 241.85/242.16 (step @p106 :rule trans :premises (@p105 @p104)) % 241.85/242.16 (step @p107 :rule aci_norm :args ((= @t159 @t149))) % 241.85/242.16 (step @p108 :rule cong :premises (@p107) :args (@t160)) % 241.85/242.16 (step @p109 :rule quant-merge-prenex :args ((= (forall @t79 @t162) @t160))) % 241.85/242.16 (step @p110 :rule alpha_equiv :args (@t163 (@list @t134) @t164)) % 241.85/242.16 (step @p111 :rule refl :args (@t148)) % 241.85/242.16 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t165)) % 241.85/242.16 (step @p113 :rule quant-miniscope-or :args ((= @t162 @t165))) % 241.85/242.16 (step @p114 :rule trans :premises (@p113 @p112)) % 241.85/242.16 (step @p115 :rule symm :premises (@p114)) % 241.85/242.16 (step @p116 :rule cong :premises (@p115) :args ((forall @t79 @t168))) % 241.85/242.16 (step @p117 :rule trans :premises (@p116 @p109)) % 241.85/242.16 (step @p118 :rule trans :premises (@p117 @p108)) % 241.85/242.16 (step @p119 :rule beta-reduce :args ((= @t177 @t168))) % 241.85/242.16 (step @p120 :rule cong :premises (@p119) :args (@t178)) % 241.85/242.16 (step @p121 :rule trans :premises (@p120 @p118)) % 241.85/242.16 (step @p122 :rule cong :premises (@p121) :args (@t179)) % 241.85/242.16 (step @p123 :rule beta-reduce :args ((= (_ @t181 @t176) @t179))) % 241.85/242.16 (step @p124 :rule trans :premises (@p123 @p122)) % 241.85/242.16 (step @p125 :rule beta-reduce :args ((= (_ (lambda @t182 @t175) @t1) @t175))) % 241.85/242.16 (step @p126 :rule refl :args (@t1)) % 241.85/242.16 (step @p127 :rule beta-reduce :args ((= @t185 @t171))) % 241.85/242.16 (step @p128 :rule refl :args (@t174)) % 241.85/242.16 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t186)) % 241.85/242.16 (step @p130 :rule cong :premises (@p129) :args (@t187)) % 241.85/242.16 (step @p131 :rule beta-reduce :args ((= (_ (lambda @t189 (or @t174 @t188)) @t184) @t187))) % 241.85/242.16 (step @p132 :rule trans :premises (@p131 @p130)) % 241.85/242.16 (step @p133 :rule beta-reduce :args ((= (_ @t190 @t25) @t184))) % 241.85/242.16 (step @p134 :rule refl :args (@t25)) % 241.85/242.16 (step @p135 :rule beta-reduce :args ((= @t195 @t190))) % 241.85/242.16 (step @p136 :rule ho_cong :premises (@p135 @p134)) % 241.85/242.16 (step @p137 :rule trans :premises (@p136 @p133)) % 241.85/242.16 (step @p138 :rule refl :args (@t188)) % 241.85/242.16 (step @p139 :rule beta-reduce :args ((= @t198 @t173))) % 241.85/242.16 (step @p140 :rule cong :premises (@p139) :args (@t199)) % 241.85/242.16 (step @p141 :rule nary_cong :premises (@p140 @p138) :args (@t200)) % 241.85/242.16 (step @p142 :rule cong :premises (@p141) :args (@t201)) % 241.85/242.16 (step @p143 :rule beta-reduce :args ((= (_ @t203 @t197) @t201))) % 241.85/242.16 (step @p144 :rule trans :premises (@p143 @p142)) % 241.85/242.16 (step @p145 :rule beta-reduce :args ((= (_ @t204 @t25) @t197))) % 241.85/242.16 (step @p146 :rule beta-reduce :args ((= @t205 @t204))) % 241.85/242.16 (step @p147 :rule ho_cong :premises (@p146 @p134)) % 241.85/242.16 (step @p148 :rule trans :premises (@p147 @p145)) % 241.85/242.16 (step @p149 :rule refl :args (@t203)) % 241.85/242.16 (step @p150 :rule ho_cong :premises (@p149 @p148)) % 241.85/242.16 (step @p151 :rule trans :premises (@p150 @p144)) % 241.85/242.16 (step @p152 :rule ho_cong :premises (@p151 @p137)) % 241.85/242.16 (step @p153 :rule trans :premises (@p152 @p132)) % 241.85/242.16 (step @p154 :rule ho_cong :premises (@p153 @p126)) % 241.85/242.16 (step @p155 :rule trans :premises (@p154 @p125)) % 241.85/242.16 (step @p156 :rule cong :premises (@p155) :args ((lambda @t29 (_ (_ (_ @t203 (_ @t205 @t25)) @t206) @t1)))) % 241.85/242.16 (step @p157 :rule refl :args (@t181)) % 241.85/242.16 (step @p158 :rule ho_cong :premises (@p157 @p156)) % 241.85/242.16 (step @p159 :rule trans :premises (@p158 @p124)) % 241.85/242.16 (step @p160 :rule refl :args (@t157)) % 241.85/242.16 (step @p161 :rule ho_cong :premises (@p160 @p159)) % 241.85/242.16 (step @p162 :rule trans :premises (@p161 @p106)) % 241.85/242.16 (step @p163 :rule refl :args (tptp.r1)) % 241.85/242.16 (step @p164 :rule refl :args (@t169)) % 241.85/242.16 (step @p165 :rule refl :args (@t90)) % 241.85/242.16 (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t90 @t169))) % 241.85/242.16 (step @p167 :rule symm :premises (@p166)) % 241.85/242.16 (step @p168 :rule eq_resolve :premises (@p165 @p167)) % 241.85/242.16 (step @p169 :rule refl :args (@t191)) % 241.85/242.16 (step @p170 :rule refl :args (@t92)) % 241.85/242.16 (step @p171 :rule cong :premises (@p170 @p169) :args ((= @t92 @t191))) % 241.85/242.16 (step @p172 :rule symm :premises (@p171)) % 241.85/242.16 (step @p173 :rule eq_resolve :premises (@p170 @p172)) % 241.85/242.16 (step @p174 :rule cong :premises (@p173) :args (@t93)) % 241.85/242.16 (step @p175 :rule nary_cong :premises (@p174 @p168) :args (@t94)) % 241.85/242.16 (step @p176 :rule cong :premises (@p175) :args (@t96)) % 241.85/242.16 (step @p177 :rule cong :premises (@p176) :args (@t98)) % 241.85/242.16 (step @p178 :rule trans :premises (@p84 @p177)) % 241.85/242.16 (step @p179 :rule ho_cong :premises (@p178 @p163)) % 241.85/242.16 (step @p180 :rule ho_cong :premises (@p179 @p134)) % 241.85/242.16 (step @p181 :rule refl :args (tptp.r4)) % 241.85/242.16 (step @p182 :rule ho_cong :premises (@p178 @p181)) % 241.85/242.16 (step @p183 :rule ho_cong :premises (@p182 @p134)) % 241.85/242.16 (step @p184 :rule beta-reduce :args ((= (_ @t208 @t1) @t202))) % 241.85/242.16 (step @p185 :rule beta-reduce :args ((= (_ (lambda @t209 @t207) @t57) @t208))) % 241.85/242.16 (step @p186 :rule refl :args (@t57)) % 241.85/242.16 (step @p187 :rule refl :args (@t58)) % 241.85/242.16 (step @p188 :rule beta-reduce :args ((= @t211 @t54))) % 241.85/242.16 (step @p189 :rule nary_cong :premises (@p188 @p187) :args (@t212)) % 241.85/242.16 (step @p190 :rule cong :premises (@p189) :args (@t213)) % 241.85/242.16 (step @p191 :rule beta-reduce :args ((= (_ @t59 @t210) @t213))) % 241.85/242.16 (step @p192 :rule trans :premises (@p191 @p190)) % 241.85/242.16 (step @p193 :rule beta-reduce :args ((= @t214 @t210))) % 241.85/242.16 (step @p194 :rule refl :args (@t59)) % 241.85/242.16 (step @p195 :rule ho_cong :premises (@p194 @p193)) % 241.85/242.16 (step @p196 :rule trans :premises (@p195 @p192)) % 241.85/242.16 (step @p197 :rule ho_cong :premises (@p196 @p186)) % 241.85/242.16 (step @p198 :rule trans :premises (@p197 @p185)) % 241.85/242.16 (step @p199 :rule ho_cong :premises (@p198 @p126)) % 241.85/242.16 (step @p200 :rule trans :premises (@p199 @p184)) % 241.85/242.16 (step @p201 :rule ho_cong :premises (@p72 @p134)) % 241.85/242.16 (step @p202 :rule ho_cong :premises (@p73 @p201)) % 241.85/242.16 (step @p203 :rule ho_cong :premises (@p202 @p186)) % 241.85/242.16 (step @p204 :rule ho_cong :premises (@p203 @p126)) % 241.85/242.16 (step @p205 :rule trans :premises (@p204 @p200)) % 241.85/242.16 (step @p206 :rule cong :premises (@p205) :args (@t64)) % 241.85/242.16 (step @p207 :rule trans :premises (@p75 @p206)) % 241.85/242.16 (step @p208 :rule ho_cong :premises (@p207 @p183)) % 241.85/242.16 (step @p209 :rule ho_cong :premises (@p208 @p180)) % 241.85/242.16 (step @p210 :rule ho_cong :premises (@p209 @p126)) % 241.85/242.16 (step @p211 :rule cong :premises (@p210) :args (@t39)) % 241.85/242.16 (step @p212 :rule refl :args (@t180)) % 241.85/242.16 (step @p213 :rule refl :args (@t78)) % 241.85/242.16 (step @p214 :rule cong :premises (@p213 @p212) :args ((= @t78 @t180))) % 241.85/242.16 (step @p215 :rule symm :premises (@p214)) % 241.85/242.16 (step @p216 :rule eq_resolve :premises (@p213 @p215)) % 241.85/242.16 (step @p217 :rule cong :premises (@p216) :args (@t80)) % 241.85/242.16 (step @p218 :rule cong :premises (@p217) :args (@t82)) % 241.85/242.16 (step @p219 :rule trans :premises (@p80 @p218)) % 241.85/242.16 (step @p220 :rule ho_cong :premises (@p219 @p211)) % 241.85/242.16 (step @p221 :rule refl :args (@t156)) % 241.85/242.16 (step @p222 :rule refl :args (@t53)) % 241.85/242.16 (step @p223 :rule cong :premises (@p222 @p221) :args ((= @t53 @t156))) % 241.85/242.16 (step @p224 :rule symm :premises (@p223)) % 241.85/242.16 (step @p225 :rule eq_resolve :premises (@p222 @p224)) % 241.85/242.16 (step @p226 :rule cong :premises (@p225) :args (@t128)) % 241.85/242.16 (step @p227 :rule cong :premises (@p226) :args (@t130)) % 241.85/242.16 (step @p228 :rule trans :premises (@p96 @p227)) % 241.85/242.16 (step @p229 :rule ho_cong :premises (@p228 @p220)) % 241.85/242.16 (step @p230 :rule trans :premises (@p229 @p162)) % 241.85/242.16 (step @p231 :rule trans :premises (@p230 @p100)) % 241.85/242.16 (step @p232 :rule eq_resolve :premises (@p30 @p231)) % 241.85/242.16 ; trust TRUST PREPROCESS_HO_ELIM % 241.85/242.16 (step @p233 :rule trust :premises () :args ((= (not (forall @t87 @t225)) @t222))) % 241.85/242.16 (step @p234 :rule beta-reduce :args ((= @t229 @t225))) % 241.85/242.16 (step @p235 :rule cong :premises (@p234) :args (@t230)) % 241.85/242.16 (step @p236 :rule beta-reduce :args ((= (_ @t157 @t228) @t230))) % 241.85/242.16 (step @p237 :rule trans :premises (@p236 @p235)) % 241.85/242.16 (step @p238 :rule quant-merge-prenex :args ((= (forall @t71 @t231) @t227))) % 241.85/242.16 (step @p239 :rule bool-double-not-elim :args (@t231)) % 241.85/242.16 (step @p240 :rule beta-reduce :args ((= @t234 @t232))) % 241.85/242.16 (step @p241 :rule cong :premises (@p240) :args (@t235)) % 241.85/242.16 (step @p242 :rule trans :premises (@p241 @p239)) % 241.85/242.16 (step @p243 :rule cong :premises (@p242) :args (@t236)) % 241.85/242.16 (step @p244 :rule trans :premises (@p243 @p238)) % 241.85/242.16 (step @p245 :rule cong :premises (@p244) :args (@t237)) % 241.85/242.16 (step @p246 :rule cong :premises (@p245) :args (@t238)) % 241.85/242.16 (step @p247 :rule beta-reduce :args ((= (_ @t240 @t233) @t238))) % 241.85/242.16 (step @p248 :rule trans :premises (@p247 @p246)) % 241.85/242.16 (step @p249 :rule beta-reduce :args ((= (_ (lambda @t182 @t232) @t1) @t232))) % 241.85/242.16 (step @p250 :rule refl :args (@t223)) % 241.85/242.16 (step @p251 :rule refl :args (@t241)) % 241.85/242.16 (step @p252 :rule cong :premises (@p251 @p250) :args ((= @t241 @t223))) % 241.85/242.16 (step @p253 :rule symm :premises (@p252)) % 241.85/242.16 (step @p254 :rule eq_resolve :premises (@p251 @p253)) % 241.85/242.16 (step @p255 :rule cong :premises (@p254) :args (@t242)) % 241.85/242.16 (step @p256 :rule refl :args (@t170)) % 241.85/242.16 (step @p257 :rule nary_cong :premises (@p256 @p255) :args (@t243)) % 241.85/242.16 (step @p258 :rule cong :premises (@p257) :args ((forall @t95 @t243))) % 241.85/242.16 (step @p259 :rule refl :args (@t244)) % 241.85/242.16 (step @p260 :rule cong :premises (@p259) :args (@t245)) % 241.85/242.16 (step @p261 :rule refl :args (@t170)) % 241.85/242.16 (step @p262 :rule nary_cong :premises (@p261 @p260) :args (@t246)) % 241.85/242.16 (step @p263 :rule cong :premises (@p262) :args (@t247)) % 241.85/242.16 (step @p264 :rule trans :premises (@p263 @p258)) % 241.85/242.16 (step @p265 :rule cong :premises (@p264) :args (@t248)) % 241.85/242.16 (step @p266 :rule cong :premises (@p265) :args (@t249)) % 241.85/242.16 (step @p267 :rule beta-reduce :args ((= (_ @t252 @t3) @t249))) % 241.85/242.16 (step @p268 :rule trans :premises (@p267 @p266)) % 241.85/242.16 (step @p269 :rule refl :args (@t3)) % 241.85/242.16 (step @p270 :rule beta-reduce :args ((= @t254 @t252))) % 241.85/242.16 (step @p271 :rule ho_cong :premises (@p270 @p269)) % 241.85/242.16 (step @p272 :rule trans :premises (@p271 @p268)) % 241.85/242.16 (step @p273 :rule ho_cong :premises (@p272 @p126)) % 241.85/242.16 (step @p274 :rule trans :premises (@p273 @p249)) % 241.85/242.16 (step @p275 :rule cong :premises (@p274) :args (@t255)) % 241.85/242.16 (step @p276 :rule refl :args (@t240)) % 241.85/242.16 (step @p277 :rule ho_cong :premises (@p276 @p275)) % 241.85/242.16 (step @p278 :rule trans :premises (@p277 @p248)) % 241.85/242.16 (step @p279 :rule ho_cong :premises (@p160 @p278)) % 241.85/242.16 (step @p280 :rule trans :premises (@p279 @p237)) % 241.85/242.16 (step @p281 :rule cong :premises (@p280) :args ((not (_ @t157 (_ @t240 @t255))))) % 241.85/242.16 (step @p282 :rule beta-reduce :args ((= (_ (lambda @t87 (not @t256)) @t1) @t253))) % 241.85/242.16 (step @p283 :rule beta-reduce :args ((= @t258 @t256))) % 241.85/242.16 (step @p284 :rule cong :premises (@p283) :args (@t259)) % 241.85/242.16 (step @p285 :rule cong :premises (@p284) :args (@t260)) % 241.85/242.16 (step @p286 :rule beta-reduce :args ((= (_ @t56 @t257) @t260))) % 241.85/242.16 (step @p287 :rule trans :premises (@p286 @p285)) % 241.85/242.16 (step @p288 :rule cong :premises (@p168) :args (@t261)) % 241.85/242.16 (step @p289 :rule refl :args (@t192)) % 241.85/242.16 (step @p290 :rule nary_cong :premises (@p289 @p288) :args (@t262)) % 241.85/242.16 (step @p291 :rule cong :premises (@p290) :args ((forall @t95 @t262))) % 241.85/242.16 (step @p292 :rule beta-reduce :args ((= @t263 @t261))) % 241.85/242.16 (step @p293 :rule refl :args (@t192)) % 241.85/242.16 (step @p294 :rule nary_cong :premises (@p293 @p292) :args (@t264)) % 241.85/242.16 (step @p295 :rule cong :premises (@p294) :args (@t265)) % 241.85/242.16 (step @p296 :rule trans :premises (@p295 @p291)) % 241.85/242.16 (step @p297 :rule cong :premises (@p296) :args (@t266)) % 241.85/242.16 (step @p298 :rule beta-reduce :args ((= (_ @t267 @t210) @t266))) % 241.85/242.16 (step @p299 :rule trans :premises (@p298 @p297)) % 241.85/242.16 (step @p300 :rule beta-reduce :args ((= (_ @t194 @t91) @t267))) % 241.85/242.16 (step @p301 :rule ho_cong :premises (@p300 @p193)) % 241.85/242.16 (step @p302 :rule trans :premises (@p301 @p299)) % 241.85/242.16 (step @p303 :rule refl :args (@t56)) % 241.85/242.16 (step @p304 :rule ho_cong :premises (@p303 @p302)) % 241.85/242.16 (step @p305 :rule trans :premises (@p304 @p287)) % 241.85/242.16 (step @p306 :rule ho_cong :premises (@p305 @p126)) % 241.85/242.16 (step @p307 :rule trans :premises (@p306 @p282)) % 241.85/242.16 (step @p308 :rule refl :args (@t91)) % 241.85/242.16 (step @p309 :rule ho_cong :premises (@p178 @p308)) % 241.85/242.16 (step @p310 :rule ho_cong :premises (@p309 @p201)) % 241.85/242.16 (step @p311 :rule ho_cong :premises (@p72 @p310)) % 241.85/242.16 (step @p312 :rule ho_cong :premises (@p311 @p126)) % 241.85/242.16 (step @p313 :rule trans :premises (@p312 @p307)) % 241.85/242.16 (step @p314 :rule cong :premises (@p313) :args (@t100)) % 241.85/242.16 (step @p315 :rule trans :premises (@p85 @p314)) % 241.85/242.16 (step @p316 :rule ho_cong :premises (@p315 @p163)) % 241.85/242.16 (step @p317 :rule ho_cong :premises (@p316 @p269)) % 241.85/242.16 (step @p318 :rule ho_cong :premises (@p317 @p126)) % 241.85/242.16 (step @p319 :rule cong :premises (@p318) :args (@t45)) % 241.85/242.16 (step @p320 :rule beta-reduce :args ((= (_ (lambda @t87 (not @t269)) @t1) @t239))) % 241.85/242.16 (step @p321 :rule beta-reduce :args ((= @t271 @t269))) % 241.85/242.16 (step @p322 :rule cong :premises (@p321) :args (@t272)) % 241.85/242.16 (step @p323 :rule cong :premises (@p322) :args (@t273)) % 241.85/242.16 (step @p324 :rule beta-reduce :args ((= (_ @t56 @t270) @t273))) % 241.85/242.16 (step @p325 :rule trans :premises (@p324 @p323)) % 241.85/242.16 (step @p326 :rule refl :args (@t268)) % 241.85/242.16 (step @p327 :rule refl :args (@t70)) % 241.85/242.16 (step @p328 :rule cong :premises (@p327 @p326) :args ((= @t70 @t268))) % 241.85/242.16 (step @p329 :rule symm :premises (@p328)) % 241.85/242.16 (step @p330 :rule eq_resolve :premises (@p327 @p329)) % 241.85/242.16 (step @p331 :rule cong :premises (@p330) :args (@t274)) % 241.85/242.16 (step @p332 :rule cong :premises (@p331) :args ((forall @t71 @t274))) % 241.85/242.16 (step @p333 :rule beta-reduce :args ((= @t277 @t274))) % 241.85/242.16 (step @p334 :rule cong :premises (@p333) :args (@t278)) % 241.85/242.16 (step @p335 :rule trans :premises (@p334 @p332)) % 241.85/242.16 (step @p336 :rule cong :premises (@p335) :args (@t279)) % 241.85/242.16 (step @p337 :rule beta-reduce :args ((= (_ @t280 @t276) @t279))) % 241.85/242.16 (step @p338 :rule trans :premises (@p337 @p336)) % 241.85/242.16 (step @p339 :rule beta-reduce :args ((= (_ @t281 @t1) @t275))) % 241.85/242.16 (step @p340 :rule beta-reduce :args ((= @t282 @t281))) % 241.85/242.16 (step @p341 :rule ho_cong :premises (@p340 @p126)) % 241.85/242.16 (step @p342 :rule trans :premises (@p341 @p339)) % 241.85/242.16 (step @p343 :rule cong :premises (@p342) :args ((lambda @t7 (_ @t282 @t1)))) % 241.85/242.16 (step @p344 :rule refl :args (@t280)) % 241.85/242.16 (step @p345 :rule ho_cong :premises (@p344 @p343)) % 241.85/242.16 (step @p346 :rule trans :premises (@p345 @p338)) % 241.85/242.16 (step @p347 :rule ho_cong :premises (@p303 @p346)) % 241.85/242.16 (step @p348 :rule trans :premises (@p347 @p325)) % 241.85/242.16 (step @p349 :rule ho_cong :premises (@p348 @p126)) % 241.85/242.16 (step @p350 :rule trans :premises (@p349 @p320)) % 241.85/242.16 (step @p351 :rule refl :args (@t69)) % 241.85/242.16 (step @p352 :rule ho_cong :premises (@p72 @p351)) % 241.85/242.16 (step @p353 :rule ho_cong :premises (@p352 @p126)) % 241.85/242.16 (step @p354 :rule cong :premises (@p353) :args (@t83)) % 241.85/242.16 (step @p355 :rule cong :premises (@p330) :args (@t72)) % 241.85/242.16 (step @p356 :rule cong :premises (@p355) :args (@t74)) % 241.85/242.16 (step @p357 :rule trans :premises (@p79 @p356)) % 241.85/242.16 (step @p358 :rule ho_cong :premises (@p357 @p354)) % 241.85/242.16 (step @p359 :rule ho_cong :premises (@p72 @p358)) % 241.85/242.16 (step @p360 :rule ho_cong :premises (@p359 @p126)) % 241.85/242.16 (step @p361 :rule trans :premises (@p360 @p350)) % 241.85/242.16 (step @p362 :rule cong :premises (@p361) :args (@t85)) % 241.85/242.16 (step @p363 :rule trans :premises (@p81 @p362)) % 241.85/242.16 (step @p364 :rule ho_cong :premises (@p363 @p319)) % 241.85/242.16 (step @p365 :rule ho_cong :premises (@p228 @p364)) % 241.85/242.16 (step @p366 :rule cong :premises (@p365) :args (@t46)) % 241.85/242.16 (step @p367 :rule trans :premises (@p366 @p281)) % 241.85/242.16 (step @p368 :rule trans :premises (@p367 @p233)) % 241.85/242.16 (step @p369 :rule eq_resolve :premises (@p68 @p368)) % 241.85/242.16 (step @p370 :rule refl :args (@t286)) % 241.85/242.16 (step @p371 :rule bool-double-not-elim :args (@t221)) % 241.85/242.16 (step @p372 :rule nary_cong :premises (@p371 @p370) :args ((or (not @t222) @t286))) % 241.85/242.16 (step @p373 :rule bool-double-not-elim :args (@t286)) % 241.85/242.16 (step @p374 :rule refl :args (@t222)) % 241.85/242.16 (step @p375 :rule cong :premises (@p374 @p373) :args ((=> @t222 @t287))) % 241.85/242.16 (assume-push @p616 @t222) % 241.85/242.16 (step @p377 :rule skolemize :premises (@p369)) % 241.85/242.16 (step-pop @p617 :rule scope :premises (@p377)) % 241.85/242.16 (step @p378 :rule process_scope :premises (@p617) :args (@t287)) % 241.85/242.16 (step @p380 :rule eq_resolve :premises (@p378 @p375)) % 241.85/242.16 (step @p381 :rule implies_elim :premises (@p380)) % 241.85/242.16 (step @p382 :rule eq_resolve :premises (@p381 @p372)) % 241.85/242.16 (step @p383 :rule chain_m_resolution :premises (@p382 @p369) :args (@t286 @t288 (@list @t221))) % 241.85/242.16 (step @p384 :rule instantiate :premises (@p383) :args ((@list tptp.john @t294))) % 241.85/242.16 ; trust TRUST PREPROCESS_HO_ELIM % 241.85/242.16 (step @p385 :rule trust :premises () :args ((= @t296 (forall (@list @t48 @t135) (or (not (forall @t95 (or @t219 @t140))) (not (forall @t95 (or @t219 (not @t140))))))))) % 241.85/242.16 (step @p386 :rule quant-merge-prenex :args ((= (forall @t87 @t297) @t296))) % 241.85/242.16 (step @p387 :rule beta-reduce :args ((= @t299 @t297))) % 241.85/242.16 (step @p388 :rule cong :premises (@p387) :args (@t300)) % 241.85/242.16 (step @p389 :rule trans :premises (@p388 @p386)) % 241.85/242.16 (step @p390 :rule beta-reduce :args ((= (_ @t157 @t298) @t300))) % 241.85/242.16 (step @p391 :rule trans :premises (@p390 @p389)) % 241.85/242.16 (step @p392 :rule beta-reduce :args ((= @t304 @t295))) % 241.85/242.16 (step @p393 :rule cong :premises (@p392) :args (@t305)) % 241.85/242.16 (step @p394 :rule cong :premises (@p393) :args (@t306)) % 241.85/242.16 (step @p395 :rule beta-reduce :args ((= (_ @t181 @t303) @t306))) % 241.85/242.16 (step @p396 :rule trans :premises (@p395 @p394)) % 241.85/242.16 (step @p397 :rule beta-reduce :args ((= (_ (lambda @t182 @t302) @t1) @t302))) % 241.85/242.16 (step @p398 :rule beta-reduce :args ((= @t309 @t251))) % 241.85/242.16 (step @p399 :rule refl :args (@t301)) % 241.85/242.16 (step @p400 :rule nary_cong :premises (@p399 @p398) :args (@t310)) % 241.85/242.16 (step @p401 :rule cong :premises (@p400) :args (@t311)) % 241.85/242.16 (step @p402 :rule beta-reduce :args ((= (_ (lambda @t189 (or @t301 @t188)) @t308) @t311))) % 241.85/242.16 (step @p403 :rule trans :premises (@p402 @p401)) % 241.85/242.16 (step @p404 :rule beta-reduce :args ((= @t313 @t307))) % 241.85/242.16 (step @p405 :rule cong :premises (@p404) :args (@t314)) % 241.85/242.16 (step @p406 :rule cong :premises (@p405) :args (@t315)) % 241.85/242.16 (step @p407 :rule beta-reduce :args ((= (_ @t56 @t312) @t315))) % 241.85/242.16 (step @p408 :rule trans :premises (@p407 @p406)) % 241.85/242.16 (step @p409 :rule refl :args (@t166)) % 241.85/242.16 (step @p410 :rule nary_cong :premises (@p409 @p288) :args (@t316)) % 241.85/242.16 (step @p411 :rule cong :premises (@p410) :args ((forall @t95 @t316))) % 241.85/242.16 (step @p412 :rule refl :args (@t166)) % 241.85/242.16 (step @p413 :rule nary_cong :premises (@p412 @p292) :args (@t317)) % 241.85/242.16 (step @p414 :rule cong :premises (@p413) :args (@t318)) % 241.85/242.16 (step @p415 :rule trans :premises (@p414 @p411)) % 241.85/242.16 (step @p416 :rule cong :premises (@p415) :args (@t319)) % 241.85/242.16 (step @p417 :rule beta-reduce :args ((= (_ @t190 @t210) @t319))) % 241.85/242.16 (step @p418 :rule trans :premises (@p417 @p416)) % 241.85/242.16 (step @p419 :rule ho_cong :premises (@p135 @p193)) % 241.85/242.16 (step @p420 :rule trans :premises (@p419 @p418)) % 241.85/242.16 (step @p421 :rule ho_cong :premises (@p303 @p420)) % 241.85/242.16 (step @p422 :rule trans :premises (@p421 @p408)) % 241.85/242.16 (step @p423 :rule cong :premises (@p127) :args (@t320)) % 241.85/242.16 (step @p424 :rule nary_cong :premises (@p423 @p138) :args (@t321)) % 241.85/242.16 (step @p425 :rule cong :premises (@p424) :args (@t322)) % 241.85/242.16 (step @p426 :rule beta-reduce :args ((= (_ @t203 @t184) @t322))) % 241.85/242.16 (step @p427 :rule trans :premises (@p426 @p425)) % 241.85/242.16 (step @p428 :rule ho_cong :premises (@p149 @p137)) % 241.85/242.16 (step @p429 :rule trans :premises (@p428 @p427)) % 241.85/242.16 (step @p430 :rule ho_cong :premises (@p429 @p422)) % 241.85/242.16 (step @p431 :rule trans :premises (@p430 @p403)) % 241.85/242.16 (step @p432 :rule ho_cong :premises (@p431 @p126)) % 241.85/242.16 (step @p433 :rule trans :premises (@p432 @p397)) % 241.85/242.16 (step @p434 :rule cong :premises (@p433) :args ((lambda @t29 (_ (_ (_ @t203 @t206) (_ @t56 (_ @t195 @t214))) @t1)))) % 241.85/242.16 (step @p435 :rule ho_cong :premises (@p157 @p434)) % 241.85/242.16 (step @p436 :rule trans :premises (@p435 @p396)) % 241.85/242.16 (step @p437 :rule ho_cong :premises (@p160 @p436)) % 241.85/242.16 (step @p438 :rule trans :premises (@p437 @p391)) % 241.85/242.16 (step @p439 :rule ho_cong :premises (@p179 @p201)) % 241.85/242.16 (step @p440 :rule ho_cong :premises (@p72 @p439)) % 241.85/242.16 (step @p441 :rule ho_cong :premises (@p207 @p180)) % 241.85/242.16 (step @p442 :rule ho_cong :premises (@p441 @p440)) % 241.85/242.16 (step @p443 :rule ho_cong :premises (@p442 @p126)) % 241.85/242.16 (step @p444 :rule cong :premises (@p443) :args (@t30)) % 241.85/242.16 (step @p445 :rule ho_cong :premises (@p219 @p444)) % 241.85/242.16 (step @p446 :rule ho_cong :premises (@p228 @p445)) % 241.85/242.16 (step @p447 :rule trans :premises (@p446 @p438)) % 241.85/242.16 (step @p448 :rule trans :premises (@p447 @p385)) % 241.85/242.16 (step @p449 :rule eq_resolve :premises (@p23 @p448)) % 241.85/242.16 (step @p450 :rule instantiate :premises (@p449) :args ((@list @t283 @t291))) % 241.85/242.16 ; trust TRUST PREPROCESS_HO_ELIM % 241.85/242.16 (step @p451 :rule trust :premises () :args ((= (forall @t87 @t323) (forall @t87 (_ @t136 @t290 @t48))))) % 241.85/242.16 (step @p452 :rule refl :args (@t323)) % 241.85/242.16 (step @p453 :rule refl :args (@t324)) % 241.85/242.16 (step @p454 :rule cong :premises (@p453 @p452) :args ((= @t324 @t323))) % 241.85/242.16 (step @p455 :rule symm :premises (@p454)) % 241.85/242.16 (step @p456 :rule eq_resolve :premises (@p453 @p455)) % 241.85/242.16 (step @p457 :rule cong :premises (@p456) :args ((forall @t87 @t324))) % 241.85/242.16 (step @p458 :rule refl :args (@t325)) % 241.85/242.16 (step @p459 :rule cong :premises (@p458) :args (@t326)) % 241.85/242.16 (step @p460 :rule trans :premises (@p459 @p457)) % 241.85/242.16 (step @p461 :rule beta-reduce :args ((= (_ @t157 @t24) @t326))) % 241.85/242.16 (step @p462 :rule trans :premises (@p461 @p460)) % 241.85/242.16 (step @p463 :rule refl :args (@t24)) % 241.85/242.16 (step @p464 :rule ho_cong :premises (@p228 @p463)) % 241.85/242.16 (step @p465 :rule trans :premises (@p464 @p462)) % 241.85/242.16 (step @p466 :rule trans :premises (@p465 @p451)) % 241.85/242.16 (step @p467 :rule eq_resolve :premises (@p19 @p466)) % 241.85/242.16 (step @p468 :rule instantiate :premises (@p467) :args ((@list @t328))) % 241.85/242.16 (step @p469 :rule true_intro :premises (@p468)) % 241.85/242.16 (step @p470 :rule refl :args (@t328)) % 241.85/242.16 (step @p471 :rule skolem_intro :args (@t291)) % 241.85/242.16 (step @p472 :rule cong :premises (@p471 @p470) :args (@t329)) % 241.85/242.17 (step @p473 :rule trans :premises (@p472 @p469)) % 241.85/242.17 (step @p474 :rule true_elim :premises (@p473)) % 241.85/242.17 (step @p475 :rule cnf_or_neg :args (@t330 1)) % 241.85/242.17 (step @p476 :rule chain_m_resolution :premises (@p475 @p474) :args (@t330 @t331 (@list @t329))) % 241.85/242.17 (step @p477 :rule refl :args (@t332)) % 241.85/242.17 (step @p478 :rule bool-double-not-elim :args (@t327)) % 241.85/242.17 (step @p479 :rule nary_cong :premises (@p478 @p477) :args ((or (not @t333) @t332))) % 241.85/242.17 (assume-push @p618 @t333) % 241.85/242.17 (step @p481 :rule skolemize :premises (@p618)) % 241.85/242.17 (step-pop @p619 :rule scope :premises (@p481)) % 241.85/242.17 (step @p482 :rule process_scope :premises (@p619) :args (@t332)) % 241.85/242.17 (step @p484 :rule implies_elim :premises (@p482)) % 241.85/242.17 (step @p485 :rule eq_resolve :premises (@p484 @p479)) % 241.85/242.17 (step @p486 :rule chain_m_resolution :premises (@p485 @p476) :args (@t327 @t331 (@list @t330))) % 241.85/242.17 (step @p487 :rule cnf_or_pos :args (@t335)) % 241.85/242.17 (step @p488 :rule reordering :premises (@p487) :args ((or @t333 @t334 (not @t335)))) % 241.85/242.17 (step @p489 :rule chain_m_resolution :premises (@p488 @p486 @p450) :args (@t334 @t336 (@list @t327 @t335))) % 241.85/242.17 (step @p490 :rule refl :args (@t340)) % 241.85/242.17 (step @p491 :rule bool-double-not-elim :args (@t293)) % 241.85/242.17 (step @p492 :rule nary_cong :premises (@p491 @p490) :args ((or (not @t334) @t340))) % 241.85/242.17 (assume-push @p620 @t334) % 241.85/242.17 (step @p494 :rule skolemize :premises (@p620)) % 241.85/242.17 (step-pop @p621 :rule scope :premises (@p494)) % 241.85/242.17 (step @p495 :rule process_scope :premises (@p621) :args (@t340)) % 241.85/242.17 (step @p497 :rule implies_elim :premises (@p495)) % 241.85/242.17 (step @p498 :rule eq_resolve :premises (@p497 @p492)) % 241.85/242.17 (step @p499 :rule chain_m_resolution :premises (@p498 @p489) :args (@t340 @t288 (@list @t293))) % 241.85/242.17 (step @p500 :rule bool-double-not-elim :args (@t337)) % 241.85/242.17 (step @p501 :rule refl :args (@t339)) % 241.85/242.17 (step @p502 :rule nary_cong :premises (@p501 @p500) :args ((or @t339 (not @t338)))) % 241.85/242.17 (step @p503 :rule cnf_or_neg :args (@t339 0)) % 241.85/242.17 (step @p504 :rule eq_resolve :premises (@p503 @p502)) % 241.85/242.17 (step @p505 :rule reordering :premises (@p504) :args ((or @t337 @t339))) % 241.85/242.17 (step @p506 :rule chain_m_resolution :premises (@p505 @p499) :args (@t337 @t288 (@list @t339))) % 241.85/242.17 (step @p507 :rule cnf_or_pos :args (@t344)) % 241.85/242.17 (step @p508 :rule reordering :premises (@p507) :args ((or @t338 @t343 (not @t344)))) % 241.85/242.17 (step @p509 :rule chain_m_resolution :premises (@p508 @p506 @p384) :args (@t343 @t336 (@list @t337 @t344))) % 241.85/242.17 (step @p510 :rule bool-double-not-elim :args (@t348)) % 241.85/242.17 (step @p511 :rule refl :args (@t351)) % 241.85/242.17 (step @p512 :rule nary_cong :premises (@p511 @p510) :args ((or @t351 (not @t350)))) % 241.85/242.17 (step @p513 :rule cnf_or_neg :args (@t351 0)) % 241.85/242.17 (step @p514 :rule eq_resolve :premises (@p513 @p512)) % 241.85/242.17 (step @p515 :rule reordering :premises (@p514) :args ((or @t348 @t351))) % 241.85/242.17 (step @p516 :rule cnf_or_neg :args (@t351 1)) % 241.85/242.17 (step @p517 :rule instantiate :premises (@p467) :args ((@list @t283))) % 241.85/242.17 ; trust TRUST PREPROCESS_HO_ELIM % 241.85/242.17 (step @p518 :rule trust :premises () :args ((= @t359 (forall @t353 (or (not (_ @t136 (_ @t216 @t289 @t2) @t48)) (not (_ @t136 @t142 @t352)) (_ @t136 @t217 @t352)))))) % 241.85/242.17 (step @p519 :rule quant-merge-prenex :args ((= (forall @t87 @t361) @t359))) % 241.85/242.17 (step @p520 :rule beta-reduce :args ((= @t363 @t361))) % 241.85/242.17 (step @p521 :rule cong :premises (@p520) :args (@t364)) % 241.85/242.17 (step @p522 :rule trans :premises (@p521 @p519)) % 241.85/242.17 (step @p523 :rule beta-reduce :args ((= (_ @t157 @t362) @t364))) % 241.85/242.17 (step @p524 :rule trans :premises (@p523 @p522)) % 241.85/242.17 (step @p525 :rule aci_norm :args ((= @t366 @t358))) % 241.85/242.17 (step @p526 :rule cong :premises (@p525) :args (@t367)) % 241.85/242.17 (step @p527 :rule quant-merge-prenex :args ((= (forall @t71 @t369) @t367))) % 241.85/242.17 (step @p528 :rule alpha_equiv :args (@t370 (@list @t352) @t164)) % 241.85/242.17 (step @p529 :rule refl :args (@t357)) % 241.85/242.17 (step @p530 :rule nary_cong :premises (@p529 @p528) :args (@t371)) % 241.85/242.17 (step @p531 :rule quant-miniscope-or :args ((= @t369 @t371))) % 241.85/242.17 (step @p532 :rule trans :premises (@p531 @p530)) % 241.85/242.17 (step @p533 :rule symm :premises (@p532)) % 241.85/242.17 (step @p534 :rule cong :premises (@p533) :args ((forall @t71 (or @t357 @t372)))) % 241.85/242.17 (step @p535 :rule trans :premises (@p534 @p527)) % 241.85/242.17 (step @p536 :rule trans :premises (@p535 @p526)) % 241.85/242.17 (step @p537 :rule refl :args (@t372)) % 241.85/242.17 (step @p538 :rule refl :args (@t356)) % 241.85/242.17 (step @p539 :rule refl :args (@t373)) % 241.85/242.17 (step @p540 :rule cong :premises (@p539 @p538) :args ((= @t373 @t356))) % 241.85/242.17 (step @p541 :rule symm :premises (@p540)) % 241.85/242.17 (step @p542 :rule eq_resolve :premises (@p539 @p541)) % 241.85/242.17 (step @p543 :rule cong :premises (@p542) :args (@t374)) % 241.85/242.17 (step @p544 :rule nary_cong :premises (@p543 @p537) :args (@t375)) % 241.85/242.17 (step @p545 :rule cong :premises (@p544) :args ((forall @t71 @t375))) % 241.85/242.17 (step @p546 :rule trans :premises (@p545 @p536)) % 241.85/242.17 (step @p547 :rule beta-reduce :args ((= @t380 @t375))) % 241.85/242.17 (step @p548 :rule cong :premises (@p547) :args (@t381)) % 241.85/242.17 (step @p549 :rule trans :premises (@p548 @p546)) % 241.85/242.17 (step @p550 :rule cong :premises (@p549) :args (@t382)) % 241.85/242.17 (step @p551 :rule beta-reduce :args ((= (_ @t280 @t379) @t382))) % 241.85/242.17 (step @p552 :rule trans :premises (@p551 @p550)) % 241.85/242.17 (step @p553 :rule beta-reduce :args ((= (_ (lambda @t182 @t378) @t1) @t378))) % 241.85/242.17 (step @p554 :rule beta-reduce :args ((= @t384 @t376))) % 241.85/242.17 (step @p555 :rule refl :args (@t377)) % 241.85/242.17 (step @p556 :rule nary_cong :premises (@p555 @p554) :args (@t385)) % 241.85/242.17 (step @p557 :rule cong :premises (@p556) :args (@t386)) % 241.85/242.17 (step @p558 :rule beta-reduce :args ((= (_ @t387 @t383) @t386))) % 241.85/242.17 (step @p559 :rule trans :premises (@p558 @p557)) % 241.85/242.17 (step @p560 :rule refl :args (@t147)) % 241.85/242.17 (step @p561 :rule nary_cong :premises (@p560 @p254) :args (@t388)) % 241.85/242.17 (step @p562 :rule cong :premises (@p561) :args ((forall @t95 @t388))) % 241.85/242.17 (step @p563 :rule refl :args (@t147)) % 241.85/242.17 (step @p564 :rule nary_cong :premises (@p563 @p259) :args (@t389)) % 241.85/242.17 (step @p565 :rule cong :premises (@p564) :args (@t390)) % 241.85/242.17 (step @p566 :rule trans :premises (@p565 @p562)) % 241.85/242.17 (step @p567 :rule cong :premises (@p566) :args (@t391)) % 241.85/242.17 (step @p568 :rule beta-reduce :args ((= (_ @t204 @t3) @t391))) % 241.85/242.17 (step @p569 :rule trans :premises (@p568 @p567)) % 241.85/242.17 (step @p570 :rule ho_cong :premises (@p146 @p269)) % 241.85/242.17 (step @p571 :rule trans :premises (@p570 @p569)) % 241.85/242.17 (step @p572 :rule beta-reduce :args ((= @t392 @t387))) % 241.85/242.17 (step @p573 :rule ho_cong :premises (@p572 @p571)) % 241.85/242.17 (step @p574 :rule trans :premises (@p573 @p559)) % 241.85/242.17 (step @p575 :rule ho_cong :premises (@p574 @p126)) % 241.85/242.17 (step @p576 :rule trans :premises (@p575 @p553)) % 241.85/242.17 (step @p577 :rule cong :premises (@p576) :args ((lambda @t7 (_ (_ @t392 (_ @t205 @t3)) @t1)))) % 241.85/242.17 (step @p578 :rule ho_cong :premises (@p344 @p577)) % 241.85/242.17 (step @p579 :rule trans :premises (@p578 @p552)) % 241.85/242.17 (step @p580 :rule ho_cong :premises (@p160 @p579)) % 241.85/242.17 (step @p581 :rule trans :premises (@p580 @p524)) % 241.85/242.17 (step @p582 :rule ho_cong :premises (@p182 @p269)) % 241.85/242.17 (step @p583 :rule refl :args (@t6)) % 241.85/242.17 (step @p584 :rule ho_cong :premises (@p207 @p583)) % 241.85/242.17 (step @p585 :rule ho_cong :premises (@p584 @p582)) % 241.85/242.17 (step @p586 :rule ho_cong :premises (@p585 @p126)) % 241.85/242.17 (step @p587 :rule cong :premises (@p586) :args (@t8)) % 241.85/242.17 (step @p588 :rule ho_cong :premises (@p357 @p587)) % 241.85/242.17 (step @p589 :rule ho_cong :premises (@p228 @p588)) % 241.85/242.17 (step @p590 :rule trans :premises (@p589 @p581)) % 241.85/242.17 (step @p591 :rule trans :premises (@p590 @p518)) % 241.85/242.17 (step @p592 :rule eq_resolve :premises (@p2 @p591)) % 241.85/242.17 (step @p593 :rule instantiate :premises (@p592) :args ((@list @t283 tptp.john @t347))) % 241.85/242.17 (step @p594 :rule cnf_or_pos :args (@t395)) % 241.85/242.17 (step @p595 :rule reordering :premises (@p594) :args ((or @t394 @t350 @t349 (not @t395)))) % 241.85/242.17 (step @p596 :rule chain_m_resolution :premises (@p595 @p593 @p517 @p516 @p515) :args (@t351 (@list false false true false) (@list @t395 @t393 @t349 @t348))) % 241.85/242.17 (step @p597 :rule refl :args (@t396)) % 241.85/242.17 (step @p598 :rule bool-double-not-elim :args (@t346)) % 241.85/242.17 (step @p599 :rule nary_cong :premises (@p598 @p597) :args ((or (not @t397) @t396))) % 241.85/242.17 (assume-push @p622 @t397) % 241.85/242.17 (step @p601 :rule skolemize :premises (@p622)) % 241.85/242.17 (step-pop @p623 :rule scope :premises (@p601)) % 241.85/242.17 (step @p602 :rule process_scope :premises (@p623) :args (@t396)) % 241.85/242.17 (step @p604 :rule implies_elim :premises (@p602)) % 241.85/242.17 (step @p605 :rule eq_resolve :premises (@p604 @p599)) % 241.85/242.17 (step @p606 :rule chain_m_resolution :premises (@p605 @p596) :args (@t346 @t331 (@list @t351))) % 241.85/242.17 (step @p607 :rule cnf_or_pos :args (@t398)) % 241.85/242.17 (step @p608 :rule reordering :premises (@p607) :args ((or @t338 @t397 @t342 @t399))) % 241.85/242.17 (step @p609 :rule chain_m_resolution :premises (@p608 @p506 @p606 @p509) :args (@t399 (@list false false true) (@list @t337 @t346 @t342))) % 241.85/242.17 (assume-push @p624 @t143) % 241.85/242.17 (step @p611 :rule instantiate :premises (@p232) :args ((@list @t283 @t341 @t294))) % 241.85/242.17 (step-pop @p625 :rule scope :premises (@p611)) % 241.85/242.17 (step @p612 :rule process_scope :premises (@p625) :args (@t398)) % 241.85/242.17 (step @p614 :rule implies_elim :premises (@p612)) % 241.85/242.17 (step @p615 false :rule chain_m_resolution :premises (@p614 @p609 @p232) :args (false (@list true false) (@list @t398 @t143))) % 241.85/242.17 ) % 241.85/242.17 % SZS output end Proof % 241.85/242.17 % cvc5 exiting %------------------------------------------------------------------------------