%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : AGT032^1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 169.04s 169.62s % Output : Proof 169.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : AGT032^1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.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 01:33:39 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 169.04/169.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 169.04/169.62 --- 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... % 169.04/169.62 --- 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... % 169.04/169.62 --- Run --ho-elim --full-saturate-quant at 18s... % 169.04/169.62 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 169.04/169.62 % SZS status Theorem % 169.04/169.62 % SZS output start Proof % 169.04/169.62 ( % 169.04/169.62 (declare-sort $$unsorted 0) % 169.04/169.62 (declare-sort tptp.mu 0) % 169.04/169.62 (declare-const tptp.possibly_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 169.04/169.62 (declare-const tptp.very_much_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 169.04/169.62 (declare-const tptp.beer tptp.mu) % 169.04/169.62 (declare-const tptp.cola tptp.mu) % 169.04/169.62 (declare-const tptp.jan tptp.mu) % 169.04/169.62 (declare-const tptp.likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 169.04/169.62 (declare-const tptp.a1 (-> $$unsorted $$unsorted Bool)) % 169.04/169.62 (declare-const tptp.pepsi tptp.mu) % 169.04/169.62 (declare-const tptp.piotr tptp.mu) % 169.04/169.62 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 169.04/169.62 (declare-const tptp.a2 (-> $$unsorted $$unsorted Bool)) % 169.04/169.62 (declare-const tptp.a3 (-> $$unsorted $$unsorted Bool)) % 169.04/169.62 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 169.04/169.62 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 169.04/169.62 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 169.04/169.62 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 169.04/169.62 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 169.04/169.62 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 169.04/169.62 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 169.04/169.62 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 169.04/169.62 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 169.04/169.62 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 169.04/169.62 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 169.04/169.62 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 169.04/169.62 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 169.04/169.62 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 169.04/169.62 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 169.04/169.62 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 169.04/169.62 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 169.04/169.62 (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)))))))) % 169.04/169.62 (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)))))))) % 169.04/169.62 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 169.04/169.62 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 169.04/169.62 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 169.04/169.62 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 169.04/169.62 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 169.04/169.62 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 169.04/169.62 (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))))))))))))) % 169.04/169.62 (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)))))) % 169.04/169.62 (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))))))) % 169.04/169.62 (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)))))) % 169.04/169.62 (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))))))) % 169.04/169.62 (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))))))))) % 169.04/169.62 (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 $$unsorted Bool)))) (lambda (@list _let_5 _let_3) (forall (@list _let_2 _let_4 _let_1) (=> (and (_ (_ _let_5 _let_2) _let_4) (_ (_ _let_3 _let_4) _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 169.04/169.62 (define @t1 () (_ tptp.likes tptp.jan)) % 169.04/169.62 (define @t2 () (_ @t1 tptp.cola)) % 169.04/169.62 (define @t3 () (_ tptp.mbox tptp.a1)) % 169.04/169.62 (define @t4 () (_ tptp.likes tptp.piotr)) % 169.04/169.62 (define @t5 () (_ @t4 tptp.pepsi)) % 169.04/169.62 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 169.04/169.62 (define @t7 () (@var "X" tptp.mu)) % 169.04/169.62 (define @t8 () (_ tptp.likes @t7)) % 169.04/169.62 (define @t9 () (_ @t8 tptp.cola)) % 169.04/169.62 (define @t10 () (_ @t8 tptp.pepsi)) % 169.04/169.62 (define @t11 () (_ tptp.mdia tptp.a1)) % 169.04/169.62 (define @t12 () (@list @t7 @t6)) % 169.04/169.62 (define @t13 () (_ tptp.mbox tptp.a2)) % 169.04/169.62 (define @t14 () (_ @t4 tptp.beer)) % 169.04/169.62 (define @t15 () (_ tptp.mbox tptp.a3)) % 169.04/169.62 (define @t16 () (_ tptp.mdia tptp.a3)) % 169.04/169.62 (define @t17 () (@var "Y" tptp.mu)) % 169.04/169.62 (define @t18 () (_ (_ tptp.very_much_likes @t7) @t17)) % 169.04/169.62 (define @t19 () (_ @t8 @t17)) % 169.04/169.62 (define @t20 () (@list @t17 @t6)) % 169.04/169.62 (define @t21 () (_ (_ tptp.possibly_likes @t7) @t17)) % 169.04/169.62 (define @t22 () (_ tptp.subrel tptp.a1)) % 169.04/169.62 (define @t23 () (_ tptp.cond4s tptp.a1)) % 169.04/169.62 (define @t24 () (_ tptp.cond4s tptp.a2)) % 169.04/169.62 (define @t25 () (lambda @t20 (_ @t19 @t6))) % 169.04/169.62 (define @t26 () (lambda @t12 (_ (_ tptp.mexists_ind @t25) @t6))) % 169.04/169.62 (define @t27 () (not (_ tptp.mvalid (_ tptp.mexists_ind @t26)))) % 169.04/169.62 (define @t28 () (@var "W" $$unsorted)) % 169.04/169.62 (define @t29 () (lambda (@list @t7 @t17 @t28) (= @t7 @t17))) % 169.04/169.62 (define @t30 () (@var "Y" (-> $$unsorted Bool))) % 169.04/169.62 (define @t31 () (@var "X" (-> $$unsorted Bool))) % 169.04/169.62 (define @t32 () (lambda (@list @t31 @t30 @t28) (= (_ @t31 @t28) (_ @t30 @t28)))) % 169.04/169.62 (define @t33 () (@var "Phi" (-> $$unsorted Bool))) % 169.04/169.62 (define @t34 () (_ @t33 @t28)) % 169.04/169.62 (define @t35 () (not @t34)) % 169.04/169.62 (define @t36 () (@list @t33 @t28)) % 169.04/169.62 (define @t37 () (lambda @t36 @t35)) % 169.04/169.62 (define @t38 () (@var "Psi" (-> $$unsorted Bool))) % 169.04/169.62 (define @t39 () (lambda (@list @t33 @t38 @t28) (or @t34 (_ @t38 @t28)))) % 169.04/169.62 (define @t40 () (_ tptp.mnot @t38)) % 169.04/169.62 (define @t41 () (_ tptp.mnot @t33)) % 169.04/169.62 (define @t42 () (_ tptp.mor @t41)) % 169.04/169.62 (define @t43 () (@list @t33 @t38 @t6)) % 169.04/169.62 (define @t44 () (lambda @t43 (_ (_ tptp.mnot (_ @t42 @t40)) @t6))) % 169.04/169.62 (define @t45 () (lambda @t43 (_ (_ @t42 @t38) @t6))) % 169.04/169.62 (define @t46 () (lambda @t43 (_ (_ (_ tptp.mor @t40) @t33) @t6))) % 169.04/169.62 (define @t47 () (lambda @t43 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t33) @t38)) (_ (_ tptp.mimplies @t38) @t33)) @t6))) % 169.04/169.62 (define @t48 () (lambda @t43 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t33) @t38)) @t6))) % 169.04/169.62 (define @t49 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 169.04/169.62 (define @t50 () (_ @t49 @t7)) % 169.04/169.62 (define @t51 () (_ @t50 @t28)) % 169.04/169.62 (define @t52 () (@list @t7)) % 169.04/169.62 (define @t53 () (forall @t52 @t51)) % 169.04/169.62 (define @t54 () (@list @t49 @t28)) % 169.04/169.62 (define @t55 () (lambda @t54 @t53)) % 169.04/169.62 (define @t56 () (@var "P" (-> $$unsorted Bool))) % 169.04/169.62 (define @t57 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 169.04/169.62 (define @t58 () (_ @t57 @t56)) % 169.04/169.62 (define @t59 () (lambda (@list @t57 @t28) (forall (@list @t56) (_ @t58 @t28)))) % 169.04/169.62 (define @t60 () (lambda @t12 (_ (_ tptp.mnot @t50) @t6))) % 169.04/169.62 (define @t61 () (@list @t49 @t6)) % 169.04/169.62 (define @t62 () (lambda @t61 (_ (_ tptp.mnot (_ tptp.mforall_ind @t60)) @t6))) % 169.04/169.62 (define @t63 () (lambda (@list @t57 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t56 @t6) (_ (_ tptp.mnot @t58) @t6)))) @t6))) % 169.04/169.62 (define @t64 () (@list @t28)) % 169.04/169.62 (define @t65 () (lambda @t64 true)) % 169.04/169.62 (define @t66 () (@var "V" $$unsorted)) % 169.04/169.62 (define @t67 () (_ @t33 @t66)) % 169.04/169.62 (define @t68 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 169.04/169.62 (define @t69 () (_ (_ @t68 @t28) @t66)) % 169.04/169.62 (define @t70 () (not @t69)) % 169.04/169.62 (define @t71 () (or @t70 @t67)) % 169.04/169.62 (define @t72 () (@list @t66)) % 169.04/169.62 (define @t73 () (forall @t72 @t71)) % 169.04/169.62 (define @t74 () (@list @t68 @t33 @t28)) % 169.04/169.62 (define @t75 () (lambda @t74 @t73)) % 169.04/169.62 (define @t76 () (@list @t68 @t33 @t6)) % 169.04/169.62 (define @t77 () (lambda @t76 (_ (_ tptp.mnot (_ (_ tptp.mbox @t68) @t41)) @t6))) % 169.04/169.62 (define @t78 () (@var "S" $$unsorted)) % 169.04/169.62 (define @t79 () (_ @t68 @t78)) % 169.04/169.62 (define @t80 () (@list @t78)) % 169.04/169.62 (define @t81 () (@list @t68)) % 169.04/169.62 (define @t82 () (lambda @t81 (forall @t80 (_ @t79 @t78)))) % 169.04/169.62 (define @t83 () (@var "T" $$unsorted)) % 169.04/169.62 (define @t84 () (_ @t68 @t83)) % 169.04/169.62 (define @t85 () (_ @t84 @t78)) % 169.04/169.62 (define @t86 () (_ @t79 @t83)) % 169.04/169.62 (define @t87 () (@list @t78 @t83)) % 169.04/169.62 (define @t88 () (forall @t87 (=> @t86 @t85))) % 169.04/169.62 (define @t89 () (lambda @t81 @t88)) % 169.04/169.62 (define @t90 () (@list @t83)) % 169.04/169.62 (define @t91 () (lambda @t81 (forall @t80 (exists @t90 @t86)))) % 169.04/169.62 (define @t92 () (@var "U" $$unsorted)) % 169.04/169.62 (define @t93 () (_ @t79 @t92)) % 169.04/169.62 (define @t94 () (_ @t84 @t92)) % 169.04/169.62 (define @t95 () (@list @t78 @t83 @t92)) % 169.04/169.62 (define @t96 () (lambda @t81 (forall @t95 (=> (and @t86 @t94) @t93)))) % 169.04/169.62 (define @t97 () (and @t86 @t93)) % 169.04/169.62 (define @t98 () (lambda @t81 (forall @t95 (=> @t97 @t94)))) % 169.04/169.62 (define @t99 () (= @t83 @t92)) % 169.04/169.62 (define @t100 () (lambda @t81 (forall @t95 (=> @t97 @t99)))) % 169.04/169.62 (define @t101 () (@list @t92)) % 169.04/169.62 (define @t102 () (lambda @t81 (forall @t80 (exists @t90 (and @t86 (forall @t101 (=> @t93 @t99))))))) % 169.04/169.62 (define @t103 () (_ @t68 @t92)) % 169.04/169.62 (define @t104 () (_ @t103 @t83)) % 169.04/169.62 (define @t105 () (lambda @t81 (forall @t95 (=> @t86 (exists @t101 (and @t93 @t104)))))) % 169.04/169.62 (define @t106 () (lambda @t81 (forall @t95 (=> @t97 (or @t94 @t99 @t104))))) % 169.04/169.62 (define @t107 () (lambda @t81 (forall @t95 (=> @t97 (exists @t72 (and (_ @t84 @t66) (_ @t103 @t66))))))) % 169.04/169.62 (define @t108 () (forall @t64 @t34)) % 169.04/169.62 (define @t109 () (@list @t33)) % 169.04/169.62 (define @t110 () (lambda @t109 @t108)) % 169.04/169.62 (define @t111 () (lambda @t109 (forall @t64 @t35))) % 169.04/169.62 (define @t112 () (lambda @t109 (exists @t64 @t34))) % 169.04/169.62 (define @t113 () (lambda @t109 (exists @t64 @t35))) % 169.04/169.62 (define @t114 () (@var "Y" $$unsorted)) % 169.04/169.62 (define @t115 () (@var "X" $$unsorted)) % 169.04/169.62 (define @t116 () (@var "R2" (-> $$unsorted $$unsorted Bool))) % 169.04/169.62 (define @t117 () (@var "R1" (-> $$unsorted $$unsorted Bool))) % 169.04/169.62 (define @t118 () (@list @t117 @t116)) % 169.04/169.62 (define @t119 () (lambda @t118 (forall (@list @t115 @t114) (=> (_ (_ @t117 @t115) @t114) (_ (_ @t116 @t115) @t114))))) % 169.04/169.62 (define @t120 () (lambda @t118 (forall (@list @t92 @t66 @t28) (=> (and (_ (_ @t117 @t92) @t66) (_ (_ @t116 @t66) @t28)) (_ (_ @t116 @t92) @t28))))) % 169.04/169.62 (define @t121 () (@const 0 (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)))) % 169.04/169.62 (define @t122 () (@const 1 (-> (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> tptp.mu $$unsorted Bool))))) % 169.04/169.62 (define @t123 () (@const 2 (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> $$unsorted Bool))))) % 169.04/169.62 (define @t124 () (_ @t123 (_ @t122 @t121 tptp.piotr) tptp.pepsi)) % 169.04/169.62 (define @t125 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 169.04/169.62 (define @t126 () (not (_ @t125 @t124 @t66))) % 169.04/169.62 (define @t127 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 169.04/169.62 (define @t128 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 169.04/169.62 (define @t129 () (not (_ @t125 (_ @t128 @t127 @t28) @t66))) % 169.04/169.62 (define @t130 () (tptp.likes tptp.piotr tptp.pepsi @t66)) % 169.04/169.62 (define @t131 () (not @t130)) % 169.04/169.62 (define @t132 () (not (tptp.a3 @t28 @t66))) % 169.04/169.62 (define @t133 () (not (forall @t72 (or @t132 @t131)))) % 169.04/169.62 (define @t134 () (not (tptp.a3 @t6 @t66))) % 169.04/169.62 (define @t135 () (@list @t6)) % 169.04/169.62 (define @t136 () (lambda @t135 (not (forall @t72 (or @t134 @t131))))) % 169.04/169.62 (define @t137 () (_ @t136 @t28)) % 169.04/169.62 (define @t138 () (forall @t64 @t137)) % 169.04/169.62 (define @t139 () (_ @t33 @t28)) % 169.04/169.62 (define @t140 () (lambda @t109 (forall @t64 @t139))) % 169.04/169.62 (define @t141 () (_ @t5 @t66)) % 169.04/169.62 (define @t142 () (not @t141)) % 169.04/169.62 (define @t143 () (or @t134 @t142)) % 169.04/169.62 (define @t144 () (_ @t5 @t66)) % 169.04/169.62 (define @t145 () (not @t144)) % 169.04/169.62 (define @t146 () (or @t134 @t145)) % 169.04/169.62 (define @t147 () (forall @t72 @t146)) % 169.04/169.62 (define @t148 () (not @t147)) % 169.04/169.62 (define @t149 () (lambda @t135 @t148)) % 169.04/169.62 (define @t150 () (_ @t33 @t66)) % 169.04/169.62 (define @t151 () (not @t150)) % 169.04/169.62 (define @t152 () (lambda (@list @t33 @t6) (not (forall @t72 (or @t134 @t151))))) % 169.04/169.62 (define @t153 () (not (forall @t72 (or (not (_ @t68 @t6 @t66)) @t151)))) % 169.04/169.62 (define @t154 () (_ @t68 @t28 @t66)) % 169.04/169.62 (define @t155 () (not @t154)) % 169.04/169.62 (define @t156 () (forall @t72 (or @t155 @t151))) % 169.04/169.62 (define @t157 () (lambda @t64 @t156)) % 169.04/169.62 (define @t158 () (_ @t157 @t28)) % 169.04/169.62 (define @t159 () (not @t158)) % 169.04/169.62 (define @t160 () (lambda @t64 @t159)) % 169.04/169.62 (define @t161 () (not @t67)) % 169.04/169.62 (define @t162 () (or @t155 @t161)) % 169.04/169.62 (define @t163 () (lambda @t64 @t35)) % 169.04/169.62 (define @t164 () (_ @t163 @t66)) % 169.04/169.62 (define @t165 () (or @t155 @t164)) % 169.04/169.62 (define @t166 () (forall @t72 @t165)) % 169.04/169.62 (define @t167 () (lambda @t64 @t166)) % 169.04/169.62 (define @t168 () (forall @t72 (or @t155 @t150))) % 169.04/169.62 (define @t169 () (lambda @t36 @t168)) % 169.04/169.62 (define @t170 () (lambda @t74 @t168)) % 169.04/169.62 (define @t171 () (@var "BOUND_VARIABLE_9878" tptp.mu)) % 169.04/169.62 (define @t172 () (_ @t123 (_ @t122 @t121 @t7) @t171)) % 169.04/169.62 (define @t173 () (@list @t7 @t171)) % 169.04/169.62 (define @t174 () (forall @t64 (not (forall @t173 (not (_ @t125 @t172 @t28)))))) % 169.04/169.62 (define @t175 () (@quantifiers_skolemize @t174 0)) % 169.04/169.62 (define @t176 () (_ @t128 @t127 @t175)) % 169.04/169.62 (define @t177 () (@quantifiers_skolemize (forall @t72 (or (not (_ @t125 @t176 @t66)) @t126)) 0)) % 169.04/169.62 (define @t178 () (_ @t125 @t176 @t177)) % 169.04/169.62 (define @t179 () (not @t178)) % 169.04/169.62 (define @t180 () (or @t179 (not (_ @t125 @t124 @t177)))) % 169.04/169.62 (define @t181 () (@list true)) % 169.04/169.62 (define @t182 () (forall @t87 (or (not (tptp.a3 @t78 @t83)) (tptp.a3 @t83 @t78)))) % 169.04/169.62 (define @t183 () (_ @t68 @t83 @t78)) % 169.04/169.62 (define @t184 () (_ @t68 @t78 @t83)) % 169.04/169.62 (define @t185 () (not @t86)) % 169.04/169.62 (define @t186 () (or @t185 @t85)) % 169.04/169.62 (define @t187 () (_ @t123 (_ @t122 @t121 tptp.jan) tptp.cola)) % 169.04/169.62 (define @t188 () (@list @t28 @t66)) % 169.04/169.62 (define @t189 () (tptp.likes tptp.jan tptp.cola @t66)) % 169.04/169.62 (define @t190 () (or @t132 @t189)) % 169.04/169.62 (define @t191 () (forall @t188 @t190)) % 169.04/169.62 (define @t192 () (forall @t72 @t190)) % 169.04/169.62 (define @t193 () (lambda @t64 @t192)) % 169.04/169.62 (define @t194 () (_ @t193 @t28)) % 169.04/169.62 (define @t195 () (forall @t64 @t194)) % 169.04/169.62 (define @t196 () (_ @t2 @t66)) % 169.04/169.62 (define @t197 () (or @t132 @t196)) % 169.04/169.62 (define @t198 () (_ @t2 @t66)) % 169.04/169.62 (define @t199 () (or @t132 @t198)) % 169.04/169.62 (define @t200 () (forall @t72 @t199)) % 169.04/169.62 (define @t201 () (lambda @t64 @t200)) % 169.04/169.62 (define @t202 () (lambda @t36 (forall @t72 (or @t132 @t150)))) % 169.04/169.62 (define @t203 () (not @t174)) % 169.04/169.62 (define @t204 () (not (forall @t173 (not (tptp.likes @t7 @t171 @t28))))) % 169.04/169.62 (define @t205 () (tptp.likes @t7 @t171 @t6)) % 169.04/169.62 (define @t206 () (not @t205)) % 169.04/169.62 (define @t207 () (forall @t173 @t206)) % 169.04/169.62 (define @t208 () (lambda @t135 (not @t207))) % 169.04/169.62 (define @t209 () (_ @t208 @t28)) % 169.04/169.62 (define @t210 () (forall @t64 @t209)) % 169.04/169.62 (define @t211 () (@list @t171)) % 169.04/169.62 (define @t212 () (forall @t211 @t206)) % 169.04/169.62 (define @t213 () (not @t212)) % 169.04/169.62 (define @t214 () (lambda @t12 @t213)) % 169.04/169.62 (define @t215 () (_ @t214 @t7 @t6)) % 169.04/169.62 (define @t216 () (not @t215)) % 169.04/169.62 (define @t217 () (forall @t52 @t216)) % 169.04/169.62 (define @t218 () (not @t217)) % 169.04/169.62 (define @t219 () (lambda @t135 @t218)) % 169.04/169.62 (define @t220 () (forall @t52 (not (_ @t49 @t7 @t6)))) % 169.04/169.62 (define @t221 () (not @t220)) % 169.04/169.62 (define @t222 () (lambda @t61 @t221)) % 169.04/169.62 (define @t223 () (_ (_ @t8 @t171) @t6)) % 169.04/169.62 (define @t224 () (not @t223)) % 169.04/169.62 (define @t225 () (_ @t25 @t171 @t6)) % 169.04/169.62 (define @t226 () (not @t225)) % 169.04/169.62 (define @t227 () (forall @t211 @t226)) % 169.04/169.62 (define @t228 () (not @t227)) % 169.04/169.62 (define @t229 () (lambda @t135 @t228)) % 169.04/169.62 (define @t230 () (lambda @t12 (_ (_ @t222 @t25) @t6))) % 169.04/169.62 (define @t231 () (_ @t49 @t7 @t28)) % 169.04/169.62 (define @t232 () (forall @t52 (not @t231))) % 169.04/169.62 (define @t233 () (lambda @t64 @t232)) % 169.04/169.62 (define @t234 () (_ @t233 @t28)) % 169.04/169.62 (define @t235 () (not @t234)) % 169.04/169.62 (define @t236 () (lambda @t64 @t235)) % 169.04/169.62 (define @t237 () (not @t51)) % 169.04/169.62 (define @t238 () (not (_ @t50 @t6))) % 169.04/169.62 (define @t239 () (lambda @t12 @t238)) % 169.04/169.62 (define @t240 () (_ @t239 @t7 @t28)) % 169.04/169.62 (define @t241 () (forall @t52 @t240)) % 169.04/169.62 (define @t242 () (lambda @t64 @t241)) % 169.04/169.62 (define @t243 () (lambda @t54 (forall @t52 @t231))) % 169.04/169.62 (define @t244 () (lambda @t64 @t237)) % 169.04/169.62 (define @t245 () (_ @t37 @t50)) % 169.04/169.62 (define @t246 () (forall @t173 (not (_ @t125 @t172 @t175)))) % 169.04/169.62 (define @t247 () (not (not @t246))) % 169.04/169.62 (define @t248 () (_ @t125 @t187 @t175)) % 169.04/169.62 (define @t249 () (_ @t125 (_ @t128 @t127 @t177) @t175)) % 169.04/169.62 (define @t250 () (not @t249)) % 169.04/169.62 (define @t251 () (or @t250 @t248)) % 169.04/169.62 (define @t252 () (or @t179 @t249)) % 169.04/169.62 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 169.04/169.62 (assume @p2 (_ tptp.mvalid (_ @t3 @t2))) % 169.04/169.62 (assume @p3 (_ tptp.mvalid (_ @t3 @t5))) % 169.04/169.62 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t10)) @t9)) @t6))))) % 169.04/169.62 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t9)) @t10)) @t6))))) % 169.04/169.62 (assume @p6 (_ tptp.mvalid (_ @t13 (_ @t1 tptp.pepsi)))) % 169.04/169.62 (assume @p7 (_ tptp.mvalid (_ @t3 (_ @t4 tptp.cola)))) % 169.04/169.62 (assume @p8 (_ tptp.mvalid (_ @t3 @t14))) % 169.04/169.62 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t13 (_ (_ tptp.mimplies @t10) @t9)) @t6))))) % 169.04/169.62 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t13 (_ (_ tptp.mimplies @t9) @t10)) @t6))))) % 169.04/169.62 (assume @p11 (_ tptp.mvalid (_ @t15 @t2))) % 169.04/169.62 (assume @p12 (_ tptp.mvalid (_ @t16 @t5))) % 169.04/169.62 (assume @p13 (_ tptp.mvalid (_ @t11 @t14))) % 169.04/169.62 (assume @p14 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ @t15 (_ (_ tptp.mimplies (_ (_ tptp.mand @t19) (_ (_ tptp.mand (_ @t3 @t19)) (_ @t13 @t19)))) @t18)) @t6))) @t6))))) % 169.04/169.62 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t15 @t18)) @t18) @t6))) @t6))))) % 169.04/169.62 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t16 @t18)) @t19) @t6))) @t6))))) % 169.04/169.62 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t11 @t19)) @t21) @t6))) @t6))))) % 169.04/169.62 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ (_ tptp.mdia tptp.a2) @t19)) @t21) @t6))) @t6))))) % 169.04/169.62 (assume @p19 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t16 @t19)) @t21) @t6))) @t6))))) % 169.04/169.62 (assume @p20 (_ tptp.msymmetric tptp.a1)) % 169.04/169.62 (assume @p21 (_ tptp.msymmetric tptp.a2)) % 169.04/169.62 (assume @p22 (_ tptp.msymmetric tptp.a3)) % 169.04/169.62 (assume @p23 (_ tptp.mserial tptp.a1)) % 169.04/169.62 (assume @p24 (_ tptp.mserial tptp.a2)) % 169.04/169.62 (assume @p25 (_ tptp.mserial tptp.a3)) % 169.04/169.62 (assume @p26 (_ @t22 tptp.a2)) % 169.04/169.62 (assume @p27 (_ @t22 tptp.a3)) % 169.04/169.62 (assume @p28 (_ (_ tptp.subrel tptp.a2) tptp.a3)) % 169.04/169.62 (assume @p29 (_ @t23 tptp.a1)) % 169.04/169.62 (assume @p30 (_ @t23 tptp.a2)) % 169.04/169.62 (assume @p31 (_ @t23 tptp.a3)) % 169.04/169.62 (assume @p32 (_ @t24 tptp.a1)) % 169.04/169.62 (assume @p33 (_ @t24 tptp.a2)) % 169.04/169.62 (assume @p34 (_ @t24 tptp.a3)) % 169.04/169.62 (assume @p35 (_ (_ tptp.cond4s tptp.a3) tptp.a3)) % 169.04/169.62 (assume @p36 (_ tptp.meuclidean tptp.a1)) % 169.04/169.62 (assume @p37 (_ tptp.meuclidean tptp.a2)) % 169.04/169.62 (assume @p38 (_ tptp.meuclidean tptp.a3)) % 169.04/169.62 (assume @p39 @t27) % 169.04/169.62 (assume @p40 true) % 169.04/169.62 (step @p41 (= tptp.meq_ind @t29) :rule refl :args (@t29)) % 169.04/169.62 (step @p42 (= tptp.meq_prop @t32) :rule refl :args (@t32)) % 169.04/169.62 (step @p43 (= tptp.mnot @t37) :rule refl :args (@t37)) % 169.04/169.62 (step @p44 (= tptp.mor @t39) :rule refl :args (@t39)) % 169.04/169.62 (step @p45 (= tptp.mand @t44) :rule refl :args (@t44)) % 169.04/169.62 (step @p46 (= tptp.mimplies @t45) :rule refl :args (@t45)) % 169.04/169.62 (step @p47 (= tptp.mimplied @t46) :rule refl :args (@t46)) % 169.04/169.62 (step @p48 (= tptp.mequiv @t47) :rule refl :args (@t47)) % 169.04/169.62 (step @p49 (= tptp.mxor @t48) :rule refl :args (@t48)) % 169.04/169.62 (step @p50 (= tptp.mforall_ind @t55) :rule refl :args (@t55)) % 169.04/169.62 (step @p51 (= tptp.mforall_prop @t59) :rule refl :args (@t59)) % 169.04/169.62 (step @p52 (= tptp.mexists_ind @t62) :rule refl :args (@t62)) % 169.04/169.62 (step @p53 (= tptp.mexists_prop @t63) :rule refl :args (@t63)) % 169.04/169.62 (step @p54 (= tptp.mtrue @t65) :rule refl :args (@t65)) % 169.04/169.62 (step @p55 (= tptp.mbox @t75) :rule refl :args (@t75)) % 169.04/169.62 (step @p56 (= tptp.mdia @t77) :rule refl :args (@t77)) % 169.04/169.62 (step @p57 (= tptp.mreflexive @t82) :rule refl :args (@t82)) % 169.04/169.62 (step @p58 (= tptp.msymmetric @t89) :rule refl :args (@t89)) % 169.04/169.62 (step @p59 (= tptp.mserial @t91) :rule refl :args (@t91)) % 169.04/169.62 (step @p60 (= tptp.mtransitive @t96) :rule refl :args (@t96)) % 169.04/169.62 (step @p61 (= tptp.meuclidean @t98) :rule refl :args (@t98)) % 169.04/169.62 (step @p62 (= tptp.mpartially_functional @t100) :rule refl :args (@t100)) % 169.04/169.62 (step @p63 (= tptp.mfunctional @t102) :rule refl :args (@t102)) % 169.04/169.62 (step @p64 (= tptp.mweakly_dense @t105) :rule refl :args (@t105)) % 169.04/169.62 (step @p65 (= tptp.mweakly_connected @t106) :rule refl :args (@t106)) % 169.04/169.62 (step @p66 (= tptp.mweakly_directed @t107) :rule refl :args (@t107)) % 169.04/169.62 (step @p67 (= tptp.mvalid @t110) :rule refl :args (@t110)) % 169.04/169.62 (step @p68 (= tptp.minvalid @t111) :rule refl :args (@t111)) % 169.04/169.62 (step @p69 (= tptp.msatisfiable @t112) :rule refl :args (@t112)) % 169.04/169.62 (step @p70 (= tptp.mcountersatisfiable @t113) :rule refl :args (@t113)) % 169.04/169.62 (step @p71 (= tptp.subrel @t119) :rule refl :args (@t119)) % 169.04/169.62 (step @p72 (= tptp.cond4s @t120) :rule refl :args (@t120)) % 169.04/169.62 ; WARNING: add trust step for TRUST % 169.04/169.62 ; trust TRUST PREPROCESS_HO_ELIM % 169.04/169.62 (step @p73 :rule trust :premises () :args ((= (forall @t64 @t133) (forall @t64 (not (forall @t72 (or @t129 @t126))))))) % 169.04/169.62 (step @p74 :rule beta-reduce :args ((= @t137 @t133))) % 169.04/169.62 (step @p75 :rule cong :premises (@p74) :args (@t138)) % 169.04/169.62 (step @p76 :rule beta-reduce :args ((= (_ @t140 @t136) @t138))) % 169.04/169.62 (step @p77 :rule trans :premises (@p76 @p75)) % 169.04/169.62 (step @p78 :rule refl :args (@t130)) % 169.04/169.62 (step @p79 :rule refl :args (@t141)) % 169.04/169.62 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t141 @t130))) % 169.04/169.62 (step @p81 :rule symm :premises (@p80)) % 169.04/169.62 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 169.04/169.62 (step @p83 :rule cong :premises (@p82) :args (@t142)) % 169.04/169.62 (step @p84 :rule refl :args (@t134)) % 169.04/169.62 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t143)) % 169.04/169.62 (step @p86 :rule cong :premises (@p85) :args ((forall @t72 @t143))) % 169.04/169.62 (step @p87 :rule refl :args (@t144)) % 169.04/169.62 (step @p88 :rule cong :premises (@p87) :args (@t145)) % 169.04/169.62 (step @p89 :rule refl :args (@t134)) % 169.04/169.62 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t146)) % 169.04/169.62 (step @p91 :rule cong :premises (@p90) :args (@t147)) % 169.04/169.62 (step @p92 :rule trans :premises (@p91 @p86)) % 169.04/169.62 (step @p93 :rule cong :premises (@p92) :args (@t148)) % 169.04/169.62 (step @p94 :rule cong :premises (@p93) :args (@t149)) % 169.04/169.62 (step @p95 :rule beta-reduce :args ((= (_ @t152 @t5) @t149))) % 169.04/169.62 (step @p96 :rule trans :premises (@p95 @p94)) % 169.04/169.62 (step @p97 :rule refl :args (@t5)) % 169.04/169.62 (step @p98 :rule beta-reduce :args ((= (_ (lambda @t76 @t153) tptp.a3) @t152))) % 169.04/169.62 (step @p99 :rule ho_cong :premises (@p98 @p97)) % 169.04/169.62 (step @p100 :rule trans :premises (@p99 @p96)) % 169.04/169.62 (step @p101 :rule refl :args (@t140)) % 169.04/169.62 (step @p102 :rule ho_cong :premises (@p101 @p100)) % 169.04/169.62 (step @p103 :rule trans :premises (@p102 @p77)) % 169.04/169.62 (step @p104 :rule refl :args (tptp.a3)) % 169.04/169.62 (step @p105 :rule beta-reduce :args ((= (_ (lambda @t64 (not @t156)) @t6) @t153))) % 169.04/169.62 (step @p106 :rule refl :args (@t6)) % 169.04/169.62 (step @p107 :rule beta-reduce :args ((= @t158 @t156))) % 169.04/169.62 (step @p108 :rule cong :premises (@p107) :args (@t159)) % 169.04/169.62 (step @p109 :rule cong :premises (@p108) :args (@t160)) % 169.04/169.62 (step @p110 :rule beta-reduce :args ((= (_ @t37 @t157) @t160))) % 169.04/169.62 (step @p111 :rule trans :premises (@p110 @p109)) % 169.04/169.62 (step @p112 :rule refl :args (@t150)) % 169.04/169.62 (step @p113 :rule refl :args (@t67)) % 169.04/169.62 (step @p114 :rule cong :premises (@p113 @p112) :args ((= @t67 @t150))) % 169.04/169.62 (step @p115 :rule symm :premises (@p114)) % 169.04/169.62 (step @p116 :rule eq_resolve :premises (@p113 @p115)) % 169.04/169.62 (step @p117 :rule cong :premises (@p116) :args (@t161)) % 169.04/169.62 (step @p118 :rule refl :args (@t155)) % 169.04/169.62 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t162)) % 169.04/169.62 (step @p120 :rule cong :premises (@p119) :args ((forall @t72 @t162))) % 169.04/169.62 (step @p121 :rule beta-reduce :args ((= @t164 @t161))) % 169.04/169.62 (step @p122 :rule refl :args (@t155)) % 169.04/169.62 (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t165)) % 169.04/169.62 (step @p124 :rule cong :premises (@p123) :args (@t166)) % 169.04/169.62 (step @p125 :rule trans :premises (@p124 @p120)) % 169.04/169.62 (step @p126 :rule cong :premises (@p125) :args (@t167)) % 169.04/169.62 (step @p127 :rule beta-reduce :args ((= (_ @t169 @t163) @t167))) % 169.04/169.62 (step @p128 :rule trans :premises (@p127 @p126)) % 169.04/169.62 (step @p129 :rule beta-reduce :args ((= (_ @t37 @t33) @t163))) % 169.04/169.62 (step @p130 :rule beta-reduce :args ((= (_ @t170 @t68) @t169))) % 169.04/169.62 (step @p131 :rule ho_cong :premises (@p130 @p129)) % 169.04/169.62 (step @p132 :rule trans :premises (@p131 @p128)) % 169.04/169.62 (step @p133 :rule refl :args (@t37)) % 169.04/169.62 (step @p134 :rule ho_cong :premises (@p133 @p132)) % 169.04/169.62 (step @p135 :rule trans :premises (@p134 @p111)) % 169.04/169.62 (step @p136 :rule ho_cong :premises (@p135 @p106)) % 169.04/169.62 (step @p137 :rule trans :premises (@p136 @p105)) % 169.04/169.62 (step @p138 :rule refl :args (@t33)) % 169.04/169.62 (step @p139 :rule ho_cong :premises (@p43 @p138)) % 169.04/169.62 (step @p140 :rule refl :args (@t68)) % 169.04/169.62 (step @p141 :rule refl :args (@t154)) % 169.04/169.62 (step @p142 :rule refl :args (@t69)) % 169.04/169.62 (step @p143 :rule cong :premises (@p142 @p141) :args ((= @t69 @t154))) % 169.04/169.62 (step @p144 :rule symm :premises (@p143)) % 169.04/169.62 (step @p145 :rule eq_resolve :premises (@p142 @p144)) % 169.04/169.62 (step @p146 :rule cong :premises (@p145) :args (@t70)) % 169.04/169.62 (step @p147 :rule nary_cong :premises (@p146 @p116) :args (@t71)) % 169.04/169.62 (step @p148 :rule cong :premises (@p147) :args (@t73)) % 169.04/169.62 (step @p149 :rule cong :premises (@p148) :args (@t75)) % 169.04/169.62 (step @p150 :rule trans :premises (@p55 @p149)) % 169.04/169.62 (step @p151 :rule ho_cong :premises (@p150 @p140)) % 169.04/169.62 (step @p152 :rule ho_cong :premises (@p151 @p139)) % 169.04/169.62 (step @p153 :rule ho_cong :premises (@p43 @p152)) % 169.04/169.62 (step @p154 :rule ho_cong :premises (@p153 @p106)) % 169.04/169.62 (step @p155 :rule trans :premises (@p154 @p137)) % 169.04/169.62 (step @p156 :rule cong :premises (@p155) :args (@t77)) % 169.04/169.62 (step @p157 :rule trans :premises (@p56 @p156)) % 169.04/169.62 (step @p158 :rule ho_cong :premises (@p157 @p104)) % 169.04/169.62 (step @p159 :rule ho_cong :premises (@p158 @p97)) % 169.04/169.62 (step @p160 :rule refl :args (@t139)) % 169.04/169.62 (step @p161 :rule refl :args (@t34)) % 169.04/169.62 (step @p162 :rule cong :premises (@p161 @p160) :args ((= @t34 @t139))) % 169.04/169.62 (step @p163 :rule symm :premises (@p162)) % 169.04/169.62 (step @p164 :rule eq_resolve :premises (@p161 @p163)) % 169.04/169.62 (step @p165 :rule cong :premises (@p164) :args (@t108)) % 169.04/169.62 (step @p166 :rule cong :premises (@p165) :args (@t110)) % 169.04/169.62 (step @p167 :rule trans :premises (@p67 @p166)) % 169.04/169.62 (step @p168 :rule ho_cong :premises (@p167 @p159)) % 169.04/169.62 (step @p169 :rule trans :premises (@p168 @p103)) % 169.04/169.62 (step @p170 :rule trans :premises (@p169 @p73)) % 169.04/169.62 (step @p171 :rule eq_resolve :premises (@p12 @p170)) % 169.04/169.62 (step @p172 :rule instantiate :premises (@p171) :args ((@list @t175))) % 169.04/169.62 (step @p173 :rule skolemize :premises (@p172)) % 169.04/169.62 (step @p174 :rule bool-double-not-elim :args (@t178)) % 169.04/169.62 (step @p175 :rule refl :args (@t180)) % 169.04/169.62 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or @t180 (not @t179)))) % 169.04/169.62 (step @p177 :rule cnf_or_neg :args (@t180 0)) % 169.04/169.62 (step @p178 :rule eq_resolve :premises (@p177 @p176)) % 169.04/169.62 (step @p179 :rule reordering :premises (@p178) :args ((or @t178 @t180))) % 169.04/169.62 (step @p180 :rule chain_m_resolution :premises (@p179 @p173) :args (@t178 @t181 (@list @t180))) % 169.04/169.62 ; trust TRUST PREPROCESS_HO_ELIM % 169.04/169.62 (step @p181 :rule trust :premises () :args ((= @t182 (forall @t87 (or (not (_ @t125 (_ @t128 @t127 @t78) @t83)) (_ @t125 (_ @t128 @t127 @t83) @t78)))))) % 169.04/169.62 (step @p182 :rule beta-reduce :args ((= (_ (lambda @t81 (forall @t87 (or (not @t184) @t183))) tptp.a3) @t182))) % 169.04/169.62 (step @p183 :rule refl :args (@t183)) % 169.04/169.62 (step @p184 :rule refl :args (@t85)) % 169.04/169.62 (step @p185 :rule cong :premises (@p184 @p183) :args ((= @t85 @t183))) % 169.04/169.62 (step @p186 :rule symm :premises (@p185)) % 169.04/169.62 (step @p187 :rule eq_resolve :premises (@p184 @p186)) % 169.04/169.62 (step @p188 :rule refl :args (@t184)) % 169.04/169.62 (step @p189 :rule refl :args (@t86)) % 169.04/169.62 (step @p190 :rule cong :premises (@p189 @p188) :args ((= @t86 @t184))) % 169.04/169.62 (step @p191 :rule symm :premises (@p190)) % 169.04/169.62 (step @p192 :rule eq_resolve :premises (@p189 @p191)) % 169.04/169.62 (step @p193 :rule cong :premises (@p192) :args (@t185)) % 169.04/169.62 (step @p194 :rule nary_cong :premises (@p193 @p187) :args (@t186)) % 169.04/169.62 (step @p195 :rule cong :premises (@p194) :args ((forall @t87 @t186))) % 169.04/169.62 (step @p196 :rule bool-impl-elim :args (@t86 @t85)) % 169.04/169.62 (step @p197 :rule cong :premises (@p196) :args (@t88)) % 169.04/169.62 (step @p198 :rule trans :premises (@p197 @p195)) % 169.04/169.62 (step @p199 :rule cong :premises (@p198) :args (@t89)) % 169.04/169.62 (step @p200 :rule trans :premises (@p58 @p199)) % 169.04/169.62 (step @p201 :rule ho_cong :premises (@p200 @p104)) % 169.04/169.62 (step @p202 :rule trans :premises (@p201 @p182)) % 169.04/169.62 (step @p203 :rule trans :premises (@p202 @p181)) % 169.04/169.62 (step @p204 :rule eq_resolve :premises (@p22 @p203)) % 169.04/169.62 (step @p205 :rule instantiate :premises (@p204) :args ((@list @t175 @t177))) % 169.04/169.62 ; trust TRUST PREPROCESS_HO_ELIM % 169.04/169.62 (step @p206 :rule trust :premises () :args ((= @t191 (forall @t188 (or @t129 (_ @t125 @t187 @t66)))))) % 169.04/169.62 (step @p207 :rule quant-merge-prenex :args ((= (forall @t64 @t192) @t191))) % 169.04/169.62 (step @p208 :rule beta-reduce :args ((= @t194 @t192))) % 169.04/169.62 (step @p209 :rule cong :premises (@p208) :args (@t195)) % 169.04/169.62 (step @p210 :rule trans :premises (@p209 @p207)) % 169.04/169.62 (step @p211 :rule beta-reduce :args ((= (_ @t140 @t193) @t195))) % 169.04/169.62 (step @p212 :rule trans :premises (@p211 @p210)) % 169.04/169.62 (step @p213 :rule refl :args (@t189)) % 169.04/169.62 (step @p214 :rule refl :args (@t196)) % 169.04/169.62 (step @p215 :rule cong :premises (@p214 @p213) :args ((= @t196 @t189))) % 169.04/169.62 (step @p216 :rule symm :premises (@p215)) % 169.04/169.62 (step @p217 :rule eq_resolve :premises (@p214 @p216)) % 169.04/169.62 (step @p218 :rule refl :args (@t132)) % 169.04/169.62 (step @p219 :rule nary_cong :premises (@p218 @p217) :args (@t197)) % 169.04/169.62 (step @p220 :rule cong :premises (@p219) :args ((forall @t72 @t197))) % 169.04/169.62 (step @p221 :rule refl :args (@t198)) % 169.04/169.62 (step @p222 :rule refl :args (@t132)) % 169.04/169.62 (step @p223 :rule nary_cong :premises (@p222 @p221) :args (@t199)) % 169.04/169.62 (step @p224 :rule cong :premises (@p223) :args (@t200)) % 169.04/169.62 (step @p225 :rule trans :premises (@p224 @p220)) % 169.04/169.62 (step @p226 :rule cong :premises (@p225) :args (@t201)) % 169.04/169.62 (step @p227 :rule beta-reduce :args ((= (_ @t202 @t2) @t201))) % 169.04/169.62 (step @p228 :rule trans :premises (@p227 @p226)) % 169.04/169.62 (step @p229 :rule refl :args (@t2)) % 169.04/169.62 (step @p230 :rule beta-reduce :args ((= (_ @t170 tptp.a3) @t202))) % 169.04/169.62 (step @p231 :rule ho_cong :premises (@p230 @p229)) % 169.04/169.62 (step @p232 :rule trans :premises (@p231 @p228)) % 169.04/169.62 (step @p233 :rule ho_cong :premises (@p101 @p232)) % 169.04/169.62 (step @p234 :rule trans :premises (@p233 @p212)) % 169.04/169.62 (step @p235 :rule ho_cong :premises (@p150 @p104)) % 169.04/169.62 (step @p236 :rule ho_cong :premises (@p235 @p229)) % 169.04/169.62 (step @p237 :rule ho_cong :premises (@p167 @p236)) % 169.04/169.62 (step @p238 :rule trans :premises (@p237 @p234)) % 169.04/169.62 (step @p239 :rule trans :premises (@p238 @p206)) % 169.04/169.62 (step @p240 :rule eq_resolve :premises (@p11 @p239)) % 169.04/169.62 (step @p241 :rule instantiate :premises (@p240) :args ((@list @t177 @t175))) % 169.04/169.62 ; trust TRUST PREPROCESS_HO_ELIM % 169.04/169.62 (step @p242 :rule trust :premises () :args ((= (not (forall @t64 @t204)) @t203))) % 169.04/169.62 (step @p243 :rule beta-reduce :args ((= @t209 @t204))) % 169.04/169.62 (step @p244 :rule cong :premises (@p243) :args (@t210)) % 169.04/169.62 (step @p245 :rule beta-reduce :args ((= (_ @t140 @t208) @t210))) % 169.04/169.62 (step @p246 :rule trans :premises (@p245 @p244)) % 169.04/169.62 (step @p247 :rule quant-merge-prenex :args ((= (forall @t52 @t212) @t207))) % 169.04/169.62 (step @p248 :rule bool-double-not-elim :args (@t212)) % 169.04/169.62 (step @p249 :rule beta-reduce :args ((= @t215 @t213))) % 169.04/169.62 (step @p250 :rule cong :premises (@p249) :args (@t216)) % 169.04/169.62 (step @p251 :rule trans :premises (@p250 @p248)) % 169.04/169.62 (step @p252 :rule cong :premises (@p251) :args (@t217)) % 169.04/169.62 (step @p253 :rule trans :premises (@p252 @p247)) % 169.04/169.62 (step @p254 :rule cong :premises (@p253) :args (@t218)) % 169.04/169.62 (step @p255 :rule cong :premises (@p254) :args (@t219)) % 169.04/169.62 (step @p256 :rule beta-reduce :args ((= (_ @t222 @t214) @t219))) % 169.04/169.62 (step @p257 :rule trans :premises (@p256 @p255)) % 169.04/169.62 (step @p258 :rule beta-reduce :args ((= (_ (lambda @t135 @t213) @t6) @t213))) % 169.04/169.62 (step @p259 :rule refl :args (@t205)) % 169.04/169.62 (step @p260 :rule refl :args (@t223)) % 169.04/169.62 (step @p261 :rule cong :premises (@p260 @p259) :args ((= @t223 @t205))) % 169.04/169.62 (step @p262 :rule symm :premises (@p261)) % 169.04/169.62 (step @p263 :rule eq_resolve :premises (@p260 @p262)) % 169.04/169.62 (step @p264 :rule cong :premises (@p263) :args (@t224)) % 169.04/169.62 (step @p265 :rule cong :premises (@p264) :args ((forall @t211 @t224))) % 169.04/169.62 (step @p266 :rule beta-reduce :args ((= @t225 @t223))) % 169.04/169.62 (step @p267 :rule cong :premises (@p266) :args (@t226)) % 169.04/169.62 (step @p268 :rule cong :premises (@p267) :args (@t227)) % 169.04/169.62 (step @p269 :rule trans :premises (@p268 @p265)) % 169.04/169.62 (step @p270 :rule cong :premises (@p269) :args (@t228)) % 169.04/169.62 (step @p271 :rule cong :premises (@p270) :args (@t229)) % 169.04/169.62 (step @p272 :rule beta-reduce :args ((= (_ (lambda @t61 (not (forall @t211 (not (_ @t49 @t171 @t6))))) @t25) @t229))) % 169.04/169.62 (step @p273 :rule trans :premises (@p272 @p271)) % 169.04/169.62 (step @p274 :rule refl :args (@t25)) % 169.04/169.62 (step @p275 :rule alpha_equiv :args (@t220 (@list @t7) (@list @t171))) % 169.04/169.62 (step @p276 :rule cong :premises (@p275) :args (@t221)) % 169.04/169.62 (step @p277 :rule cong :premises (@p276) :args (@t222)) % 169.04/169.62 (step @p278 :rule ho_cong :premises (@p277 @p274)) % 169.04/169.62 (step @p279 :rule trans :premises (@p278 @p273)) % 169.04/169.62 (step @p280 :rule ho_cong :premises (@p279 @p106)) % 169.04/169.62 (step @p281 :rule trans :premises (@p280 @p258)) % 169.04/169.62 (step @p282 :rule cong :premises (@p281) :args (@t230)) % 169.04/169.62 (step @p283 :rule refl :args (@t222)) % 169.04/169.62 (step @p284 :rule ho_cong :premises (@p283 @p282)) % 169.04/169.62 (step @p285 :rule trans :premises (@p284 @p257)) % 169.04/169.62 (step @p286 :rule ho_cong :premises (@p101 @p285)) % 169.04/169.62 (step @p287 :rule trans :premises (@p286 @p246)) % 169.04/169.62 (step @p288 :rule cong :premises (@p287) :args ((not (_ @t140 (_ @t222 @t230))))) % 169.04/169.62 (step @p289 :rule refl :args (@t25)) % 169.04/169.62 (step @p290 :rule beta-reduce :args ((= (_ (lambda @t64 (not @t232)) @t6) @t221))) % 169.04/169.62 (step @p291 :rule beta-reduce :args ((= @t234 @t232))) % 169.04/169.62 (step @p292 :rule cong :premises (@p291) :args (@t235)) % 169.04/169.62 (step @p293 :rule cong :premises (@p292) :args (@t236)) % 169.04/169.62 (step @p294 :rule beta-reduce :args ((= (_ @t37 @t233) @t236))) % 169.04/169.62 (step @p295 :rule trans :premises (@p294 @p293)) % 169.04/169.62 (step @p296 :rule refl :args (@t231)) % 169.04/169.62 (step @p297 :rule refl :args (@t51)) % 169.04/169.62 (step @p298 :rule cong :premises (@p297 @p296) :args ((= @t51 @t231))) % 169.04/169.62 (step @p299 :rule symm :premises (@p298)) % 169.04/169.62 (step @p300 :rule eq_resolve :premises (@p297 @p299)) % 169.04/169.62 (step @p301 :rule cong :premises (@p300) :args (@t237)) % 169.04/169.62 (step @p302 :rule cong :premises (@p301) :args ((forall @t52 @t237))) % 169.04/169.62 (step @p303 :rule beta-reduce :args ((= @t240 @t237))) % 169.04/169.62 (step @p304 :rule cong :premises (@p303) :args (@t241)) % 169.04/169.62 (step @p305 :rule trans :premises (@p304 @p302)) % 169.04/169.62 (step @p306 :rule cong :premises (@p305) :args (@t242)) % 169.04/169.62 (step @p307 :rule beta-reduce :args ((= (_ @t243 @t239) @t242))) % 169.04/169.62 (step @p308 :rule trans :premises (@p307 @p306)) % 169.04/169.62 (step @p309 :rule beta-reduce :args ((= (_ @t244 @t6) @t238))) % 169.04/169.62 (step @p310 :rule beta-reduce :args ((= @t245 @t244))) % 169.04/169.62 (step @p311 :rule ho_cong :premises (@p310 @p106)) % 169.04/169.62 (step @p312 :rule trans :premises (@p311 @p309)) % 169.04/169.62 (step @p313 :rule cong :premises (@p312) :args ((lambda @t12 (_ @t245 @t6)))) % 169.04/169.62 (step @p314 :rule refl :args (@t243)) % 169.04/169.62 (step @p315 :rule ho_cong :premises (@p314 @p313)) % 169.04/169.62 (step @p316 :rule trans :premises (@p315 @p308)) % 169.04/169.62 (step @p317 :rule ho_cong :premises (@p133 @p316)) % 169.04/169.62 (step @p318 :rule trans :premises (@p317 @p295)) % 169.04/169.62 (step @p319 :rule ho_cong :premises (@p318 @p106)) % 169.04/169.62 (step @p320 :rule trans :premises (@p319 @p290)) % 169.04/169.62 (step @p321 :rule refl :args (@t50)) % 169.04/169.62 (step @p322 :rule ho_cong :premises (@p43 @p321)) % 169.04/169.62 (step @p323 :rule ho_cong :premises (@p322 @p106)) % 169.04/169.62 (step @p324 :rule cong :premises (@p323) :args (@t60)) % 169.04/169.62 (step @p325 :rule cong :premises (@p300) :args (@t53)) % 169.04/169.62 (step @p326 :rule cong :premises (@p325) :args (@t55)) % 169.04/169.62 (step @p327 :rule trans :premises (@p50 @p326)) % 169.04/169.62 (step @p328 :rule ho_cong :premises (@p327 @p324)) % 169.04/169.62 (step @p329 :rule ho_cong :premises (@p43 @p328)) % 169.04/169.62 (step @p330 :rule ho_cong :premises (@p329 @p106)) % 169.04/169.62 (step @p331 :rule trans :premises (@p330 @p320)) % 169.04/169.62 (step @p332 :rule cong :premises (@p331) :args (@t62)) % 169.04/169.62 (step @p333 :rule trans :premises (@p52 @p332)) % 169.04/169.62 (step @p334 :rule ho_cong :premises (@p333 @p289)) % 169.04/169.62 (step @p335 :rule ho_cong :premises (@p334 @p106)) % 169.04/169.62 (step @p336 :rule cong :premises (@p335) :args (@t26)) % 169.04/169.62 (step @p337 :rule ho_cong :premises (@p333 @p336)) % 169.04/169.62 (step @p338 :rule ho_cong :premises (@p167 @p337)) % 169.04/169.62 (step @p339 :rule cong :premises (@p338) :args (@t27)) % 169.04/169.62 (step @p340 :rule trans :premises (@p339 @p288)) % 169.04/169.62 (step @p341 :rule trans :premises (@p340 @p242)) % 169.04/169.62 (step @p342 :rule eq_resolve :premises (@p39 @p341)) % 169.04/169.62 (step @p343 :rule refl :args (@t246)) % 169.04/169.62 (step @p344 :rule bool-double-not-elim :args (@t174)) % 169.04/169.62 (step @p345 :rule nary_cong :premises (@p344 @p343) :args ((or (not @t203) @t246))) % 169.04/169.62 (step @p346 :rule bool-double-not-elim :args (@t246)) % 169.04/169.62 (step @p347 :rule refl :args (@t203)) % 169.04/169.62 (step @p348 :rule cong :premises (@p347 @p346) :args ((=> @t203 @t247))) % 169.04/169.62 (assume-push @p364 @t203) % 169.04/169.62 (step @p350 :rule skolemize :premises (@p342)) % 169.04/169.62 (step-pop @p365 :rule scope :premises (@p350)) % 169.04/169.62 (step @p351 :rule process_scope :premises (@p365) :args (@t247)) % 169.04/169.62 (step @p353 :rule eq_resolve :premises (@p351 @p348)) % 169.04/169.62 (step @p354 :rule implies_elim :premises (@p353)) % 169.04/169.62 (step @p355 :rule eq_resolve :premises (@p354 @p345)) % 169.04/169.62 (step @p356 :rule chain_m_resolution :premises (@p355 @p342) :args (@t246 @t181 (@list @t174))) % 169.04/169.62 (step @p357 :rule instantiate :premises (@p356) :args ((@list tptp.jan tptp.cola))) % 169.04/169.62 (step @p358 :rule cnf_or_pos :args (@t251)) % 169.04/169.62 (step @p359 :rule reordering :premises (@p358) :args ((or @t248 @t250 (not @t251)))) % 169.04/169.62 (step @p360 :rule chain_m_resolution :premises (@p359 @p357 @p241) :args (@t250 (@list true false) (@list @t248 @t251))) % 169.04/169.62 (step @p361 :rule cnf_or_pos :args (@t252)) % 169.04/169.62 (step @p362 :rule reordering :premises (@p361) :args ((or @t179 @t249 (not @t252)))) % 169.04/169.62 (step @p363 false :rule chain_m_resolution :premises (@p362 @p360 @p205 @p180) :args (false (@list true false false) (@list @t249 @t252 @t178))) % 169.04/169.62 ) % 169.04/169.62 % SZS output end Proof % 169.04/169.62 % cvc5 exiting %------------------------------------------------------------------------------