%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : AGT034^1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:04:48 AM UTC 2026 % Result : Theorem 0.44s 0.68s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : AGT034^1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n005.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 01:33:48 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.44/0.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.68 % SZS status Theorem % 0.44/0.68 % SZS output start Proof % 0.44/0.68 ( % 0.44/0.68 (declare-sort $$unsorted 0) % 0.44/0.68 (declare-sort tptp.mu 0) % 0.44/0.68 (declare-const tptp.possibly_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.very_much_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.beer tptp.mu) % 0.44/0.68 (declare-const tptp.cola tptp.mu) % 0.44/0.68 (declare-const tptp.jan tptp.mu) % 0.44/0.68 (declare-const tptp.likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.a1 (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.pepsi tptp.mu) % 0.44/0.68 (declare-const tptp.piotr tptp.mu) % 0.44/0.68 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.a2 (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.a3 (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.44/0.68 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.44/0.68 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.44/0.68 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.44/0.68 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.44/0.68 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.44/0.68 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.44/0.68 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.44/0.68 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.44/0.68 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.44/0.68 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.44/0.68 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.44/0.68 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.44/0.68 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.44/0.68 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.44/0.68 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.44/0.68 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.44/0.68 (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)))))))) % 0.44/0.68 (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)))))))) % 0.44/0.68 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.44/0.68 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.44/0.68 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.44/0.68 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.44/0.68 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.44/0.68 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.44/0.68 (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))))))))))))) % 0.44/0.68 (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)))))) % 0.44/0.68 (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))))))) % 0.44/0.68 (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)))))) % 0.44/0.68 (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))))))) % 0.44/0.68 (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))))))))) % 0.44/0.68 (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 $$unsorted Bool)))) (lambda (@list _let_5 _let_3) (forall (@list _let_2 _let_4 _let_1) (=> (and (_ (_ _let_5 _let_2) _let_4) (_ (_ _let_3 _let_4) _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.44/0.68 (define @t1 () (_ tptp.likes tptp.jan)) % 0.44/0.68 (define @t2 () (_ @t1 tptp.cola)) % 0.44/0.68 (define @t3 () (_ tptp.mbox tptp.a1)) % 0.44/0.68 (define @t4 () (_ tptp.likes tptp.piotr)) % 0.44/0.68 (define @t5 () (_ @t4 tptp.pepsi)) % 0.44/0.68 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 0.44/0.68 (define @t7 () (@var "X" tptp.mu)) % 0.44/0.68 (define @t8 () (_ tptp.likes @t7)) % 0.44/0.68 (define @t9 () (_ @t8 tptp.cola)) % 0.44/0.68 (define @t10 () (_ @t8 tptp.pepsi)) % 0.44/0.68 (define @t11 () (_ tptp.mdia tptp.a1)) % 0.44/0.68 (define @t12 () (@list @t7 @t6)) % 0.44/0.68 (define @t13 () (_ @t1 tptp.pepsi)) % 0.44/0.68 (define @t14 () (_ tptp.mbox tptp.a2)) % 0.44/0.68 (define @t15 () (_ @t4 tptp.beer)) % 0.44/0.68 (define @t16 () (lambda @t12 (_ (_ @t14 (_ (_ tptp.mimplies @t10) @t9)) @t6))) % 0.44/0.68 (define @t17 () (_ tptp.mbox tptp.a3)) % 0.44/0.68 (define @t18 () (_ tptp.mdia tptp.a3)) % 0.44/0.68 (define @t19 () (@var "Y" tptp.mu)) % 0.44/0.68 (define @t20 () (_ tptp.very_much_likes @t7)) % 0.44/0.68 (define @t21 () (_ @t20 @t19)) % 0.44/0.68 (define @t22 () (_ @t8 @t19)) % 0.44/0.68 (define @t23 () (@list @t19 @t6)) % 0.44/0.68 (define @t24 () (lambda @t23 (_ (_ @t17 (_ (_ tptp.mimplies (_ (_ tptp.mand @t22) (_ (_ tptp.mand (_ @t3 @t22)) (_ @t14 @t22)))) @t21)) @t6))) % 0.44/0.68 (define @t25 () (lambda @t12 (_ (_ tptp.mforall_ind @t24) @t6))) % 0.44/0.68 (define @t26 () (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t17 @t21)) @t21) @t6))) % 0.44/0.68 (define @t27 () (lambda @t12 (_ (_ tptp.mforall_ind @t26) @t6))) % 0.44/0.68 (define @t28 () (_ (_ tptp.possibly_likes @t7) @t19)) % 0.44/0.68 (define @t29 () (_ tptp.subrel tptp.a1)) % 0.44/0.68 (define @t30 () (_ tptp.cond4s tptp.a1)) % 0.44/0.68 (define @t31 () (_ tptp.cond4s tptp.a2)) % 0.44/0.68 (define @t32 () (_ (_ tptp.very_much_likes tptp.jan) tptp.cola)) % 0.44/0.68 (define @t33 () (not (_ tptp.mvalid @t32))) % 0.44/0.68 (define @t34 () (@var "W" $$unsorted)) % 0.44/0.68 (define @t35 () (lambda (@list @t7 @t19 @t34) (= @t7 @t19))) % 0.44/0.68 (define @t36 () (@var "Y" (-> $$unsorted Bool))) % 0.44/0.68 (define @t37 () (@var "X" (-> $$unsorted Bool))) % 0.44/0.68 (define @t38 () (lambda (@list @t37 @t36 @t34) (= (_ @t37 @t34) (_ @t36 @t34)))) % 0.44/0.68 (define @t39 () (@var "Phi" (-> $$unsorted Bool))) % 0.44/0.68 (define @t40 () (_ @t39 @t34)) % 0.44/0.68 (define @t41 () (not @t40)) % 0.44/0.68 (define @t42 () (@list @t39 @t34)) % 0.44/0.68 (define @t43 () (lambda @t42 @t41)) % 0.44/0.68 (define @t44 () (@var "Psi" (-> $$unsorted Bool))) % 0.44/0.68 (define @t45 () (_ @t44 @t34)) % 0.44/0.68 (define @t46 () (lambda (@list @t39 @t44 @t34) (or @t40 @t45))) % 0.44/0.68 (define @t47 () (_ tptp.mnot @t44)) % 0.44/0.68 (define @t48 () (_ tptp.mnot @t39)) % 0.44/0.68 (define @t49 () (_ tptp.mor @t48)) % 0.44/0.68 (define @t50 () (@list @t39 @t44 @t6)) % 0.44/0.68 (define @t51 () (lambda @t50 (_ (_ tptp.mnot (_ @t49 @t47)) @t6))) % 0.44/0.68 (define @t52 () (lambda @t50 (_ (_ @t49 @t44) @t6))) % 0.44/0.68 (define @t53 () (lambda @t50 (_ (_ (_ tptp.mor @t47) @t39) @t6))) % 0.44/0.68 (define @t54 () (lambda @t50 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t39) @t44)) (_ (_ tptp.mimplies @t44) @t39)) @t6))) % 0.44/0.68 (define @t55 () (lambda @t50 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t39) @t44)) @t6))) % 0.44/0.68 (define @t56 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.44/0.68 (define @t57 () (_ @t56 @t7)) % 0.44/0.68 (define @t58 () (_ @t57 @t34)) % 0.44/0.68 (define @t59 () (@list @t7)) % 0.44/0.68 (define @t60 () (forall @t59 @t58)) % 0.44/0.68 (define @t61 () (@list @t56 @t34)) % 0.44/0.68 (define @t62 () (lambda @t61 @t60)) % 0.44/0.68 (define @t63 () (@var "P" (-> $$unsorted Bool))) % 0.44/0.68 (define @t64 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.44/0.68 (define @t65 () (_ @t64 @t63)) % 0.44/0.68 (define @t66 () (lambda (@list @t64 @t34) (forall (@list @t63) (_ @t65 @t34)))) % 0.44/0.68 (define @t67 () (lambda (@list @t56 @t6) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mnot @t57) @t6)))) @t6))) % 0.44/0.68 (define @t68 () (lambda (@list @t64 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t63 @t6) (_ (_ tptp.mnot @t65) @t6)))) @t6))) % 0.44/0.68 (define @t69 () (@list @t34)) % 0.44/0.68 (define @t70 () (lambda @t69 true)) % 0.44/0.68 (define @t71 () (@var "V" $$unsorted)) % 0.44/0.68 (define @t72 () (_ @t39 @t71)) % 0.44/0.68 (define @t73 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.44/0.68 (define @t74 () (_ (_ @t73 @t34) @t71)) % 0.44/0.68 (define @t75 () (not @t74)) % 0.44/0.68 (define @t76 () (or @t75 @t72)) % 0.44/0.68 (define @t77 () (@list @t71)) % 0.44/0.68 (define @t78 () (forall @t77 @t76)) % 0.44/0.68 (define @t79 () (@list @t73 @t39 @t34)) % 0.44/0.68 (define @t80 () (lambda @t79 @t78)) % 0.44/0.68 (define @t81 () (lambda (@list @t73 @t39 @t6) (_ (_ tptp.mnot (_ (_ tptp.mbox @t73) @t48)) @t6))) % 0.44/0.68 (define @t82 () (@var "S" $$unsorted)) % 0.44/0.68 (define @t83 () (_ @t73 @t82)) % 0.44/0.68 (define @t84 () (@list @t82)) % 0.44/0.68 (define @t85 () (@list @t73)) % 0.44/0.68 (define @t86 () (lambda @t85 (forall @t84 (_ @t83 @t82)))) % 0.44/0.68 (define @t87 () (@var "T" $$unsorted)) % 0.44/0.68 (define @t88 () (_ @t73 @t87)) % 0.44/0.68 (define @t89 () (_ @t83 @t87)) % 0.44/0.68 (define @t90 () (lambda @t85 (forall (@list @t82 @t87) (=> @t89 (_ @t88 @t82))))) % 0.44/0.68 (define @t91 () (@list @t87)) % 0.44/0.68 (define @t92 () (lambda @t85 (forall @t84 (exists @t91 @t89)))) % 0.44/0.68 (define @t93 () (@var "U" $$unsorted)) % 0.44/0.68 (define @t94 () (_ @t83 @t93)) % 0.44/0.68 (define @t95 () (_ @t88 @t93)) % 0.44/0.68 (define @t96 () (@list @t82 @t87 @t93)) % 0.44/0.68 (define @t97 () (lambda @t85 (forall @t96 (=> (and @t89 @t95) @t94)))) % 0.44/0.68 (define @t98 () (and @t89 @t94)) % 0.44/0.68 (define @t99 () (lambda @t85 (forall @t96 (=> @t98 @t95)))) % 0.44/0.68 (define @t100 () (= @t87 @t93)) % 0.44/0.68 (define @t101 () (lambda @t85 (forall @t96 (=> @t98 @t100)))) % 0.44/0.68 (define @t102 () (@list @t93)) % 0.44/0.68 (define @t103 () (lambda @t85 (forall @t84 (exists @t91 (and @t89 (forall @t102 (=> @t94 @t100))))))) % 0.44/0.68 (define @t104 () (_ @t73 @t93)) % 0.44/0.68 (define @t105 () (_ @t104 @t87)) % 0.44/0.68 (define @t106 () (lambda @t85 (forall @t96 (=> @t89 (exists @t102 (and @t94 @t105)))))) % 0.44/0.68 (define @t107 () (lambda @t85 (forall @t96 (=> @t98 (or @t95 @t100 @t105))))) % 0.44/0.68 (define @t108 () (lambda @t85 (forall @t96 (=> @t98 (exists @t77 (and (_ @t88 @t71) (_ @t104 @t71))))))) % 0.44/0.68 (define @t109 () (forall @t69 @t40)) % 0.44/0.68 (define @t110 () (@list @t39)) % 0.44/0.68 (define @t111 () (lambda @t110 @t109)) % 0.44/0.68 (define @t112 () (lambda @t110 (forall @t69 @t41))) % 0.44/0.68 (define @t113 () (lambda @t110 (exists @t69 @t40))) % 0.44/0.68 (define @t114 () (lambda @t110 (exists @t69 @t41))) % 0.44/0.68 (define @t115 () (@var "Y" $$unsorted)) % 0.44/0.68 (define @t116 () (@var "X" $$unsorted)) % 0.44/0.68 (define @t117 () (@var "R2" (-> $$unsorted $$unsorted Bool))) % 0.44/0.68 (define @t118 () (@var "R1" (-> $$unsorted $$unsorted Bool))) % 0.44/0.68 (define @t119 () (@list @t118 @t117)) % 0.44/0.68 (define @t120 () (lambda @t119 (forall (@list @t116 @t115) (=> (_ (_ @t118 @t116) @t115) (_ (_ @t117 @t116) @t115))))) % 0.44/0.68 (define @t121 () (lambda @t119 (forall (@list @t93 @t71 @t34) (=> (and (_ (_ @t118 @t93) @t71) (_ (_ @t117 @t71) @t34)) (_ (_ @t117 @t93) @t34))))) % 0.44/0.68 (define @t122 () (tptp.likes @t7 tptp.cola @t71)) % 0.44/0.68 (define @t123 () (tptp.likes @t7 tptp.pepsi @t71)) % 0.44/0.68 (define @t124 () (not @t123)) % 0.44/0.68 (define @t125 () (not (tptp.a2 @t34 @t71))) % 0.44/0.68 (define @t126 () (or @t125 @t124 @t122)) % 0.44/0.68 (define @t127 () (forall (@list @t34 @t7 @t71) @t126)) % 0.44/0.68 (define @t128 () (forall (@list @t7 @t71) @t126)) % 0.44/0.68 (define @t129 () (lambda @t69 @t128)) % 0.44/0.68 (define @t130 () (_ @t129 @t34)) % 0.44/0.68 (define @t131 () (forall @t69 @t130)) % 0.44/0.68 (define @t132 () (_ @t39 @t34)) % 0.44/0.68 (define @t133 () (lambda @t110 (forall @t69 @t132))) % 0.44/0.68 (define @t134 () (forall @t77 @t126)) % 0.44/0.68 (define @t135 () (not (tptp.a2 @t6 @t71))) % 0.44/0.68 (define @t136 () (forall @t77 (or @t135 @t124 @t122))) % 0.44/0.68 (define @t137 () (lambda @t12 @t136)) % 0.44/0.68 (define @t138 () (_ @t137 @t7 @t34)) % 0.44/0.68 (define @t139 () (forall @t59 @t138)) % 0.44/0.68 (define @t140 () (lambda @t69 @t139)) % 0.44/0.68 (define @t141 () (_ @t56 @t7 @t34)) % 0.44/0.68 (define @t142 () (forall @t59 @t141)) % 0.44/0.68 (define @t143 () (lambda @t61 @t142)) % 0.44/0.68 (define @t144 () (_ @t9 @t71)) % 0.44/0.68 (define @t145 () (_ @t10 @t71)) % 0.44/0.68 (define @t146 () (not @t145)) % 0.44/0.68 (define @t147 () (or @t125 @t146 @t144)) % 0.44/0.68 (define @t148 () (or @t146 @t144)) % 0.44/0.68 (define @t149 () (not (_ @t10 @t6))) % 0.44/0.68 (define @t150 () (@list @t6)) % 0.44/0.68 (define @t151 () (lambda @t150 (or @t149 (_ @t9 @t6)))) % 0.44/0.68 (define @t152 () (_ @t151 @t71)) % 0.44/0.68 (define @t153 () (or @t125 @t152)) % 0.44/0.68 (define @t154 () (forall @t77 @t153)) % 0.44/0.68 (define @t155 () (lambda @t69 @t154)) % 0.44/0.68 (define @t156 () (_ @t39 @t71)) % 0.44/0.68 (define @t157 () (lambda @t42 (forall @t77 (or @t125 @t156)))) % 0.44/0.68 (define @t158 () (_ @t44 @t6)) % 0.44/0.68 (define @t159 () (@list @t44 @t6)) % 0.44/0.68 (define @t160 () (lambda @t159 (or @t149 @t158))) % 0.44/0.68 (define @t161 () (not (_ @t39 @t6))) % 0.44/0.68 (define @t162 () (or @t161 @t158)) % 0.44/0.68 (define @t163 () (lambda @t50 @t162)) % 0.44/0.68 (define @t164 () (_ @t163 @t10)) % 0.44/0.68 (define @t165 () (_ @t73 @t34 @t71)) % 0.44/0.68 (define @t166 () (lambda @t79 (forall @t77 (or (not @t165) @t156)))) % 0.44/0.68 (define @t167 () (_ @t166 tptp.a2)) % 0.44/0.68 (define @t168 () (or @t41 @t45)) % 0.44/0.68 (define @t169 () (lambda @t69 @t168)) % 0.44/0.68 (define @t170 () (@list @t44 @t34)) % 0.44/0.68 (define @t171 () (lambda @t170 @t168)) % 0.44/0.68 (define @t172 () (lambda @t69 @t41)) % 0.44/0.68 (define @t173 () (_ @t172 @t34)) % 0.44/0.68 (define @t174 () (or @t173 @t45)) % 0.44/0.68 (define @t175 () (lambda @t170 @t174)) % 0.44/0.68 (define @t176 () (tptp.likes tptp.jan tptp.pepsi @t71)) % 0.44/0.68 (define @t177 () (or @t125 @t176)) % 0.44/0.68 (define @t178 () (@list @t34 @t71)) % 0.44/0.68 (define @t179 () (forall @t77 @t177)) % 0.44/0.68 (define @t180 () (lambda @t69 @t179)) % 0.44/0.68 (define @t181 () (_ @t180 @t34)) % 0.44/0.68 (define @t182 () (forall @t69 @t181)) % 0.44/0.68 (define @t183 () (_ @t13 @t71)) % 0.44/0.68 (define @t184 () (or @t125 @t183)) % 0.44/0.68 (define @t185 () (_ @t13 @t71)) % 0.44/0.68 (define @t186 () (or @t125 @t185)) % 0.44/0.68 (define @t187 () (forall @t77 @t186)) % 0.44/0.68 (define @t188 () (lambda @t69 @t187)) % 0.44/0.68 (define @t189 () (@var "BOUND_VARIABLE_9145" $$unsorted)) % 0.44/0.68 (define @t190 () (tptp.very_much_likes tptp.jan tptp.cola @t34)) % 0.44/0.68 (define @t191 () (@quantifiers_skolemize (forall @t69 @t190) 0)) % 0.44/0.68 (define @t192 () (forall @t77 (or (not (tptp.a3 @t191 @t71)) (tptp.very_much_likes tptp.jan tptp.cola @t71)))) % 0.44/0.68 (define @t193 () (@quantifiers_skolemize @t192 0)) % 0.44/0.68 (define @t194 () (@list @t189)) % 0.44/0.68 (define @t195 () (forall @t194 (or (not (tptp.a2 @t193 @t189)) (tptp.likes tptp.jan tptp.cola @t189)))) % 0.44/0.68 (define @t196 () (@quantifiers_skolemize @t195 0)) % 0.44/0.68 (define @t197 () (@var "BOUND_VARIABLE_9193" tptp.mu)) % 0.44/0.68 (define @t198 () (not (tptp.a2 @t71 @t189))) % 0.44/0.68 (define @t199 () (not (forall @t194 (or @t198 (tptp.likes @t7 @t197 @t189))))) % 0.44/0.68 (define @t200 () (@var "BOUND_VARIABLE_9154" $$unsorted)) % 0.44/0.68 (define @t201 () (not (tptp.a1 @t71 @t200))) % 0.44/0.68 (define @t202 () (@list @t200)) % 0.44/0.68 (define @t203 () (not (forall @t202 (or @t201 (tptp.likes @t7 @t197 @t200))))) % 0.44/0.68 (define @t204 () (not (tptp.likes @t7 @t197 @t71))) % 0.44/0.68 (define @t205 () (tptp.very_much_likes @t7 @t197 @t71)) % 0.44/0.68 (define @t206 () (not (tptp.a3 @t34 @t71))) % 0.44/0.68 (define @t207 () (or @t206 @t205 @t204 @t203 @t199)) % 0.44/0.68 (define @t208 () (forall (@list @t7 @t197 @t71) @t207)) % 0.44/0.68 (define @t209 () (lambda @t69 @t208)) % 0.44/0.68 (define @t210 () (_ @t209 @t34)) % 0.44/0.68 (define @t211 () (forall @t69 @t210)) % 0.44/0.68 (define @t212 () (@list @t197 @t71)) % 0.44/0.68 (define @t213 () (forall @t212 @t207)) % 0.44/0.68 (define @t214 () (not (tptp.a3 @t6 @t71))) % 0.44/0.68 (define @t215 () (forall @t212 (or @t214 @t205 @t204 @t203 @t199))) % 0.44/0.68 (define @t216 () (lambda @t12 @t215)) % 0.44/0.68 (define @t217 () (_ @t216 @t7 @t34)) % 0.44/0.68 (define @t218 () (forall @t59 @t217)) % 0.44/0.68 (define @t219 () (lambda @t69 @t218)) % 0.44/0.68 (define @t220 () (forall @t77 @t207)) % 0.44/0.68 (define @t221 () (@list @t197)) % 0.44/0.68 (define @t222 () (tptp.likes @t7 @t19 @t189)) % 0.44/0.68 (define @t223 () (not (forall @t194 (or @t198 @t222)))) % 0.44/0.68 (define @t224 () (tptp.likes @t7 @t19 @t200)) % 0.44/0.68 (define @t225 () (not (forall @t202 (or @t201 @t224)))) % 0.44/0.68 (define @t226 () (tptp.likes @t7 @t19 @t71)) % 0.44/0.68 (define @t227 () (not @t226)) % 0.44/0.68 (define @t228 () (tptp.very_much_likes @t7 @t19 @t71)) % 0.44/0.68 (define @t229 () (forall @t77 (or @t214 @t228 @t227 @t225 @t223))) % 0.44/0.68 (define @t230 () (lambda @t23 @t229)) % 0.44/0.68 (define @t231 () (_ @t230 @t197 @t34)) % 0.44/0.68 (define @t232 () (forall @t221 @t231)) % 0.44/0.68 (define @t233 () (lambda @t69 @t232)) % 0.44/0.68 (define @t234 () (@list @t7)) % 0.44/0.68 (define @t235 () (_ @t22 @t71)) % 0.44/0.68 (define @t236 () (not @t235)) % 0.44/0.68 (define @t237 () (_ @t21 @t71)) % 0.44/0.68 (define @t238 () (or @t206 @t237 @t236 @t225 @t223)) % 0.44/0.68 (define @t239 () (or @t237 @t236 @t225 @t223)) % 0.44/0.68 (define @t240 () (not (_ @t22 @t6))) % 0.44/0.68 (define @t241 () (_ @t21 @t6)) % 0.44/0.68 (define @t242 () (forall @t77 (or @t135 @t226))) % 0.44/0.68 (define @t243 () (@list @t71)) % 0.44/0.68 (define @t244 () (not @t242)) % 0.44/0.68 (define @t245 () (forall @t77 (or (not (tptp.a1 @t6 @t71)) @t226))) % 0.44/0.68 (define @t246 () (not @t245)) % 0.44/0.68 (define @t247 () (or @t241 @t240 @t246 @t244)) % 0.44/0.68 (define @t248 () (lambda @t150 @t247)) % 0.44/0.68 (define @t249 () (or @t206 (_ @t248 @t71))) % 0.44/0.68 (define @t250 () (forall @t77 @t249)) % 0.44/0.68 (define @t251 () (lambda @t69 @t250)) % 0.44/0.68 (define @t252 () (lambda @t42 (forall @t77 (or @t206 @t156)))) % 0.44/0.68 (define @t253 () (or @t158 @t240 @t246 @t244)) % 0.44/0.68 (define @t254 () (or @t240 @t246 @t244)) % 0.44/0.68 (define @t255 () (not @t254)) % 0.44/0.68 (define @t256 () (lambda @t150 @t255)) % 0.44/0.68 (define @t257 () (_ @t256 @t6)) % 0.44/0.68 (define @t258 () (not @t257)) % 0.44/0.68 (define @t259 () (or @t258 @t158)) % 0.44/0.68 (define @t260 () (lambda @t159 @t259)) % 0.44/0.68 (define @t261 () (or @t246 @t244)) % 0.44/0.68 (define @t262 () (not @t261)) % 0.44/0.68 (define @t263 () (lambda @t150 @t262)) % 0.44/0.68 (define @t264 () (_ @t263 @t6)) % 0.44/0.68 (define @t265 () (not @t264)) % 0.44/0.68 (define @t266 () (or @t240 @t265)) % 0.44/0.68 (define @t267 () (not @t266)) % 0.44/0.68 (define @t268 () (lambda @t150 @t267)) % 0.44/0.68 (define @t269 () (not @t158)) % 0.44/0.68 (define @t270 () (lambda @t159 (not (or @t240 @t269)))) % 0.44/0.68 (define @t271 () (lambda @t69 (forall @t77 (or @t125 @t226)))) % 0.44/0.68 (define @t272 () (_ @t271 @t6)) % 0.44/0.68 (define @t273 () (not @t272)) % 0.44/0.68 (define @t274 () (or @t246 @t273)) % 0.44/0.68 (define @t275 () (not @t274)) % 0.44/0.68 (define @t276 () (lambda @t150 @t275)) % 0.44/0.68 (define @t277 () (or @t125 @t235)) % 0.44/0.68 (define @t278 () (_ @t22 @t71)) % 0.44/0.68 (define @t279 () (or @t125 @t278)) % 0.44/0.68 (define @t280 () (forall @t77 @t279)) % 0.44/0.68 (define @t281 () (lambda @t69 @t280)) % 0.44/0.68 (define @t282 () (not (tptp.a1 @t34 @t71))) % 0.44/0.68 (define @t283 () (lambda @t69 (forall @t77 (or @t282 @t226)))) % 0.44/0.68 (define @t284 () (_ @t283 @t6)) % 0.44/0.68 (define @t285 () (not @t284)) % 0.44/0.68 (define @t286 () (or @t285 @t269)) % 0.44/0.68 (define @t287 () (not @t286)) % 0.44/0.68 (define @t288 () (lambda @t159 @t287)) % 0.44/0.68 (define @t289 () (not (or @t161 @t269))) % 0.44/0.68 (define @t290 () (lambda @t50 @t289)) % 0.44/0.68 (define @t291 () (or @t282 @t235)) % 0.44/0.68 (define @t292 () (or @t282 @t278)) % 0.44/0.68 (define @t293 () (forall @t77 @t292)) % 0.44/0.68 (define @t294 () (lambda @t69 @t293)) % 0.44/0.68 (define @t295 () (lambda @t42 (forall @t77 (or @t282 @t156)))) % 0.44/0.68 (define @t296 () (_ @t166 tptp.a1)) % 0.44/0.68 (define @t297 () (_ @t290 @t22)) % 0.44/0.68 (define @t298 () (_ @t166 tptp.a3)) % 0.44/0.68 (define @t299 () (lambda @t23 (_ (_ @t298 (_ (_ @t163 (_ @t297 (_ (_ @t290 (_ @t296 @t22)) (_ @t167 @t22)))) @t21)) @t6))) % 0.44/0.68 (define @t300 () (not @t45)) % 0.44/0.68 (define @t301 () (or @t41 @t300)) % 0.44/0.68 (define @t302 () (lambda @t69 @t301)) % 0.44/0.68 (define @t303 () (_ @t302 @t34)) % 0.44/0.68 (define @t304 () (not @t303)) % 0.44/0.68 (define @t305 () (lambda @t69 @t304)) % 0.44/0.68 (define @t306 () (lambda @t69 @t300)) % 0.44/0.68 (define @t307 () (_ @t306 @t34)) % 0.44/0.68 (define @t308 () (or @t41 @t307)) % 0.44/0.68 (define @t309 () (lambda @t69 @t308)) % 0.44/0.68 (define @t310 () (tptp.likes tptp.jan tptp.cola @t71)) % 0.44/0.68 (define @t311 () (or @t282 @t310)) % 0.44/0.68 (define @t312 () (forall @t77 @t311)) % 0.44/0.68 (define @t313 () (lambda @t69 @t312)) % 0.44/0.68 (define @t314 () (_ @t313 @t34)) % 0.44/0.68 (define @t315 () (forall @t69 @t314)) % 0.44/0.68 (define @t316 () (_ @t2 @t71)) % 0.44/0.68 (define @t317 () (or @t282 @t316)) % 0.44/0.68 (define @t318 () (_ @t2 @t71)) % 0.44/0.68 (define @t319 () (or @t282 @t318)) % 0.44/0.68 (define @t320 () (forall @t77 @t319)) % 0.44/0.68 (define @t321 () (lambda @t69 @t320)) % 0.44/0.68 (define @t322 () (forall @t202 (or (not (tptp.a1 @t193 @t200)) (tptp.likes tptp.jan tptp.cola @t200)))) % 0.44/0.68 (define @t323 () (@quantifiers_skolemize @t322 0)) % 0.44/0.68 (define @t324 () (or (not (tptp.a1 @t193 @t323)) (tptp.likes tptp.jan tptp.cola @t323))) % 0.44/0.68 (define @t325 () (not @t324)) % 0.44/0.68 (define @t326 () (not @t322)) % 0.44/0.68 (define @t327 () (or @t206 @t310)) % 0.44/0.68 (define @t328 () (forall @t77 @t327)) % 0.44/0.68 (define @t329 () (lambda @t69 @t328)) % 0.44/0.68 (define @t330 () (_ @t329 @t34)) % 0.44/0.68 (define @t331 () (forall @t69 @t330)) % 0.44/0.68 (define @t332 () (or @t206 @t316)) % 0.44/0.68 (define @t333 () (or @t206 @t318)) % 0.44/0.68 (define @t334 () (forall @t77 @t333)) % 0.44/0.68 (define @t335 () (lambda @t69 @t334)) % 0.44/0.68 (define @t336 () (@var "BOUND_VARIABLE_9278" tptp.mu)) % 0.44/0.68 (define @t337 () (tptp.very_much_likes @t7 @t336 @t34)) % 0.44/0.68 (define @t338 () (tptp.very_much_likes @t7 @t336 @t71)) % 0.44/0.68 (define @t339 () (not (forall @t77 (or @t206 @t338)))) % 0.44/0.68 (define @t340 () (or @t339 @t337)) % 0.44/0.68 (define @t341 () (forall (@list @t7 @t336) @t340)) % 0.44/0.68 (define @t342 () (lambda @t69 @t341)) % 0.44/0.68 (define @t343 () (_ @t342 @t34)) % 0.44/0.68 (define @t344 () (forall @t69 @t343)) % 0.44/0.68 (define @t345 () (@list @t336)) % 0.44/0.68 (define @t346 () (forall @t345 @t340)) % 0.44/0.68 (define @t347 () (forall @t345 (or (not (forall @t77 (or @t214 @t338))) (tptp.very_much_likes @t7 @t336 @t6)))) % 0.44/0.68 (define @t348 () (lambda @t12 @t347)) % 0.44/0.68 (define @t349 () (_ @t348 @t7 @t34)) % 0.44/0.68 (define @t350 () (forall @t59 @t349)) % 0.44/0.68 (define @t351 () (lambda @t69 @t350)) % 0.44/0.68 (define @t352 () (_ (_ @t20 @t336) @t34)) % 0.44/0.68 (define @t353 () (or @t339 @t352)) % 0.44/0.68 (define @t354 () (forall @t77 (or @t214 @t228))) % 0.44/0.68 (define @t355 () (not @t354)) % 0.44/0.68 (define @t356 () (or @t355 @t241)) % 0.44/0.68 (define @t357 () (lambda @t23 @t356)) % 0.44/0.68 (define @t358 () (_ @t357 @t336 @t34)) % 0.44/0.68 (define @t359 () (forall @t345 @t358)) % 0.44/0.68 (define @t360 () (lambda @t69 @t359)) % 0.44/0.68 (define @t361 () (lambda @t150 @t356)) % 0.44/0.68 (define @t362 () (lambda @t69 (forall @t77 (or @t206 @t228)))) % 0.44/0.68 (define @t363 () (_ @t362 @t6)) % 0.44/0.68 (define @t364 () (not @t363)) % 0.44/0.68 (define @t365 () (or @t364 @t158)) % 0.44/0.68 (define @t366 () (lambda @t159 @t365)) % 0.44/0.68 (define @t367 () (or @t206 @t237)) % 0.44/0.68 (define @t368 () (_ @t21 @t71)) % 0.44/0.68 (define @t369 () (or @t206 @t368)) % 0.44/0.68 (define @t370 () (forall @t77 @t369)) % 0.44/0.68 (define @t371 () (lambda @t69 @t370)) % 0.44/0.68 (define @t372 () (lambda @t23 (_ (_ (_ @t163 (_ @t298 @t21)) @t21) @t6))) % 0.44/0.68 (define @t373 () (_ @t32 @t34)) % 0.44/0.68 (define @t374 () (_ @t32 @t34)) % 0.44/0.68 (define @t375 () (forall @t69 @t374)) % 0.44/0.68 (define @t376 () (_ @t133 @t32)) % 0.44/0.68 (define @t377 () (tptp.very_much_likes tptp.jan tptp.cola @t191)) % 0.44/0.68 (define @t378 () (not @t192)) % 0.44/0.68 (define @t379 () (or @t378 @t377)) % 0.44/0.68 (define @t380 () (@list true false)) % 0.44/0.68 (define @t381 () (tptp.a3 @t191 @t193)) % 0.44/0.68 (define @t382 () (tptp.very_much_likes tptp.jan tptp.cola @t193)) % 0.44/0.68 (define @t383 () (not @t381)) % 0.44/0.68 (define @t384 () (or @t383 @t382)) % 0.44/0.68 (define @t385 () (@list true)) % 0.44/0.68 (define @t386 () (@list @t384)) % 0.44/0.68 (define @t387 () (tptp.likes tptp.jan tptp.cola @t193)) % 0.44/0.68 (define @t388 () (or @t383 @t387)) % 0.44/0.68 (define @t389 () (@list false false)) % 0.44/0.68 (define @t390 () (not @t195)) % 0.44/0.68 (define @t391 () (not @t387)) % 0.44/0.68 (define @t392 () (or @t383 @t382 @t391 @t326 @t390)) % 0.44/0.68 (define @t393 () (tptp.likes tptp.jan tptp.cola @t196)) % 0.44/0.68 (define @t394 () (tptp.a2 @t193 @t196)) % 0.44/0.68 (define @t395 () (not @t394)) % 0.44/0.68 (define @t396 () (or @t395 @t393)) % 0.44/0.68 (define @t397 () (not @t396)) % 0.44/0.68 (define @t398 () (@list @t396)) % 0.44/0.68 (define @t399 () (tptp.likes tptp.jan tptp.pepsi @t196)) % 0.44/0.68 (define @t400 () (or @t395 @t399)) % 0.44/0.68 (define @t401 () (not @t399)) % 0.44/0.68 (define @t402 () (or @t395 @t401 @t393)) % 0.44/0.68 (define @t403 () (not @t402)) % 0.44/0.68 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.44/0.68 (assume @p2 (_ tptp.mvalid (_ @t3 @t2))) % 0.44/0.68 (assume @p3 (_ tptp.mvalid (_ @t3 @t5))) % 0.44/0.68 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t10)) @t9)) @t6))))) % 0.44/0.68 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t9)) @t10)) @t6))))) % 0.44/0.68 (assume @p6 (_ tptp.mvalid (_ @t14 @t13))) % 0.44/0.68 (assume @p7 (_ tptp.mvalid (_ @t3 (_ @t4 tptp.cola)))) % 0.44/0.68 (assume @p8 (_ tptp.mvalid (_ @t3 @t15))) % 0.44/0.68 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind @t16))) % 0.44/0.68 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t14 (_ (_ tptp.mimplies @t9) @t10)) @t6))))) % 0.44/0.68 (assume @p11 (_ tptp.mvalid (_ @t17 @t2))) % 0.44/0.68 (assume @p12 (_ tptp.mvalid (_ @t18 @t5))) % 0.44/0.68 (assume @p13 (_ tptp.mvalid (_ @t11 @t15))) % 0.44/0.68 (assume @p14 (_ tptp.mvalid (_ tptp.mforall_ind @t25))) % 0.44/0.68 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind @t27))) % 0.44/0.68 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t18 @t21)) @t22) @t6))) @t6))))) % 0.44/0.68 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t11 @t22)) @t28) @t6))) @t6))))) % 0.44/0.68 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ (_ tptp.mdia tptp.a2) @t22)) @t28) @t6))) @t6))))) % 0.44/0.68 (assume @p19 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t18 @t22)) @t28) @t6))) @t6))))) % 0.44/0.68 (assume @p20 (_ tptp.msymmetric tptp.a1)) % 0.44/0.68 (assume @p21 (_ tptp.msymmetric tptp.a2)) % 0.44/0.68 (assume @p22 (_ tptp.msymmetric tptp.a3)) % 0.44/0.68 (assume @p23 (_ tptp.mserial tptp.a1)) % 0.44/0.68 (assume @p24 (_ tptp.mserial tptp.a2)) % 0.44/0.68 (assume @p25 (_ tptp.mserial tptp.a3)) % 0.44/0.68 (assume @p26 (_ @t29 tptp.a2)) % 0.44/0.68 (assume @p27 (_ @t29 tptp.a3)) % 0.44/0.68 (assume @p28 (_ (_ tptp.subrel tptp.a2) tptp.a3)) % 0.44/0.68 (assume @p29 (_ @t30 tptp.a1)) % 0.44/0.68 (assume @p30 (_ @t30 tptp.a2)) % 0.44/0.68 (assume @p31 (_ @t30 tptp.a3)) % 0.44/0.68 (assume @p32 (_ @t31 tptp.a1)) % 0.44/0.68 (assume @p33 (_ @t31 tptp.a2)) % 0.44/0.68 (assume @p34 (_ @t31 tptp.a3)) % 0.44/0.68 (assume @p35 (_ (_ tptp.cond4s tptp.a3) tptp.a3)) % 0.44/0.68 (assume @p36 (_ tptp.meuclidean tptp.a1)) % 0.44/0.68 (assume @p37 (_ tptp.meuclidean tptp.a2)) % 0.44/0.68 (assume @p38 (_ tptp.meuclidean tptp.a3)) % 0.44/0.68 (assume @p39 @t33) % 0.44/0.68 (assume @p40 true) % 0.44/0.68 (step @p41 (= tptp.meq_ind @t35) :rule refl :args (@t35)) % 0.44/0.68 (step @p42 (= tptp.meq_prop @t38) :rule refl :args (@t38)) % 0.44/0.68 (step @p43 (= tptp.mnot @t43) :rule refl :args (@t43)) % 0.44/0.68 (step @p44 (= tptp.mor @t46) :rule refl :args (@t46)) % 0.44/0.68 (step @p45 (= tptp.mand @t51) :rule refl :args (@t51)) % 0.44/0.68 (step @p46 (= tptp.mimplies @t52) :rule refl :args (@t52)) % 0.44/0.68 (step @p47 (= tptp.mimplied @t53) :rule refl :args (@t53)) % 0.44/0.68 (step @p48 (= tptp.mequiv @t54) :rule refl :args (@t54)) % 0.44/0.68 (step @p49 (= tptp.mxor @t55) :rule refl :args (@t55)) % 0.44/0.68 (step @p50 (= tptp.mforall_ind @t62) :rule refl :args (@t62)) % 0.44/0.68 (step @p51 (= tptp.mforall_prop @t66) :rule refl :args (@t66)) % 0.44/0.68 (step @p52 (= tptp.mexists_ind @t67) :rule refl :args (@t67)) % 0.44/0.68 (step @p53 (= tptp.mexists_prop @t68) :rule refl :args (@t68)) % 0.44/0.68 (step @p54 (= tptp.mtrue @t70) :rule refl :args (@t70)) % 0.44/0.68 (step @p55 (= tptp.mbox @t80) :rule refl :args (@t80)) % 0.44/0.68 (step @p56 (= tptp.mdia @t81) :rule refl :args (@t81)) % 0.44/0.68 (step @p57 (= tptp.mreflexive @t86) :rule refl :args (@t86)) % 0.44/0.68 (step @p58 (= tptp.msymmetric @t90) :rule refl :args (@t90)) % 0.44/0.68 (step @p59 (= tptp.mserial @t92) :rule refl :args (@t92)) % 0.44/0.68 (step @p60 (= tptp.mtransitive @t97) :rule refl :args (@t97)) % 0.44/0.68 (step @p61 (= tptp.meuclidean @t99) :rule refl :args (@t99)) % 0.44/0.68 (step @p62 (= tptp.mpartially_functional @t101) :rule refl :args (@t101)) % 0.44/0.68 (step @p63 (= tptp.mfunctional @t103) :rule refl :args (@t103)) % 0.44/0.68 (step @p64 (= tptp.mweakly_dense @t106) :rule refl :args (@t106)) % 0.44/0.68 (step @p65 (= tptp.mweakly_connected @t107) :rule refl :args (@t107)) % 0.44/0.68 (step @p66 (= tptp.mweakly_directed @t108) :rule refl :args (@t108)) % 0.44/0.68 (step @p67 (= tptp.mvalid @t111) :rule refl :args (@t111)) % 0.44/0.68 (step @p68 (= tptp.minvalid @t112) :rule refl :args (@t112)) % 0.44/0.68 (step @p69 (= tptp.msatisfiable @t113) :rule refl :args (@t113)) % 0.44/0.68 (step @p70 (= tptp.mcountersatisfiable @t114) :rule refl :args (@t114)) % 0.44/0.68 (step @p71 (= tptp.subrel @t120) :rule refl :args (@t120)) % 0.44/0.68 (step @p72 (= tptp.cond4s @t121) :rule refl :args (@t121)) % 0.44/0.68 (step @p73 :rule quant-merge-prenex :args ((= (forall @t69 @t128) @t127))) % 0.44/0.68 (step @p74 :rule beta-reduce :args ((= @t130 @t128))) % 0.44/0.68 (step @p75 :rule cong :premises (@p74) :args (@t131)) % 0.44/0.68 (step @p76 :rule trans :premises (@p75 @p73)) % 0.44/0.68 (step @p77 :rule beta-reduce :args ((= (_ @t133 @t129) @t131))) % 0.44/0.68 (step @p78 :rule trans :premises (@p77 @p76)) % 0.44/0.68 (step @p79 :rule quant-merge-prenex :args ((= (forall @t59 @t134) @t128))) % 0.44/0.68 (step @p80 :rule beta-reduce :args ((= @t138 @t134))) % 0.44/0.68 (step @p81 :rule cong :premises (@p80) :args (@t139)) % 0.44/0.68 (step @p82 :rule trans :premises (@p81 @p79)) % 0.44/0.68 (step @p83 :rule cong :premises (@p82) :args (@t140)) % 0.44/0.68 (step @p84 :rule beta-reduce :args ((= (_ @t143 @t137) @t140))) % 0.44/0.68 (step @p85 :rule trans :premises (@p84 @p83)) % 0.44/0.68 (step @p86 :rule beta-reduce :args ((= (_ (lambda @t69 @t134) @t6) @t136))) % 0.44/0.68 (step @p87 :rule refl :args (@t6)) % 0.44/0.68 (step @p88 :rule refl :args (@t122)) % 0.44/0.68 (step @p89 :rule refl :args (@t144)) % 0.44/0.68 (step @p90 :rule cong :premises (@p89 @p88) :args ((= @t144 @t122))) % 0.44/0.68 (step @p91 :rule symm :premises (@p90)) % 0.44/0.68 (step @p92 :rule eq_resolve :premises (@p89 @p91)) % 0.44/0.68 (step @p93 :rule refl :args (@t123)) % 0.44/0.68 (step @p94 :rule refl :args (@t145)) % 0.44/0.68 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t145 @t123))) % 0.44/0.68 (step @p96 :rule symm :premises (@p95)) % 0.44/0.68 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 0.44/0.68 (step @p98 :rule cong :premises (@p97) :args (@t146)) % 0.44/0.68 (step @p99 :rule refl :args (@t125)) % 0.44/0.68 (step @p100 :rule nary_cong :premises (@p99 @p98 @p92) :args (@t147)) % 0.44/0.68 (step @p101 :rule cong :premises (@p100) :args ((forall @t77 @t147))) % 0.44/0.68 (step @p102 :rule aci_norm :args ((= (or @t125 @t148) @t147))) % 0.44/0.68 (step @p103 :rule beta-reduce :args ((= @t152 @t148))) % 0.44/0.68 (step @p104 :rule refl :args (@t125)) % 0.44/0.68 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t153)) % 0.44/0.68 (step @p106 :rule trans :premises (@p105 @p102)) % 0.44/0.68 (step @p107 :rule cong :premises (@p106) :args (@t154)) % 0.44/0.68 (step @p108 :rule trans :premises (@p107 @p101)) % 0.44/0.68 (step @p109 :rule cong :premises (@p108) :args (@t155)) % 0.44/0.68 (step @p110 :rule beta-reduce :args ((= (_ @t157 @t151) @t155))) % 0.44/0.68 (step @p111 :rule trans :premises (@p110 @p109)) % 0.44/0.68 (step @p112 :rule beta-reduce :args ((= (_ @t160 @t9) @t151))) % 0.44/0.68 (step @p113 :rule refl :args (@t9)) % 0.44/0.68 (step @p114 :rule beta-reduce :args ((= @t164 @t160))) % 0.44/0.68 (step @p115 :rule ho_cong :premises (@p114 @p113)) % 0.44/0.68 (step @p116 :rule trans :premises (@p115 @p112)) % 0.44/0.68 (step @p117 :rule beta-reduce :args ((= @t167 @t157))) % 0.44/0.68 (step @p118 :rule ho_cong :premises (@p117 @p116)) % 0.44/0.68 (step @p119 :rule trans :premises (@p118 @p111)) % 0.44/0.68 (step @p120 :rule ho_cong :premises (@p119 @p87)) % 0.44/0.68 (step @p121 :rule trans :premises (@p120 @p86)) % 0.44/0.68 (step @p122 :rule cong :premises (@p121) :args ((lambda @t12 (_ (_ @t167 (_ @t164 @t9)) @t6)))) % 0.44/0.68 (step @p123 :rule refl :args (@t143)) % 0.44/0.68 (step @p124 :rule ho_cong :premises (@p123 @p122)) % 0.44/0.68 (step @p125 :rule trans :premises (@p124 @p85)) % 0.44/0.68 (step @p126 :rule refl :args (@t133)) % 0.44/0.68 (step @p127 :rule ho_cong :premises (@p126 @p125)) % 0.44/0.68 (step @p128 :rule trans :premises (@p127 @p78)) % 0.44/0.68 (step @p129 :rule refl :args (@t10)) % 0.44/0.68 (step @p130 :rule beta-reduce :args ((= (_ @t169 @t6) @t162))) % 0.44/0.68 (step @p131 :rule beta-reduce :args ((= (_ @t171 @t44) @t169))) % 0.44/0.68 (step @p132 :rule refl :args (@t44)) % 0.44/0.68 (step @p133 :rule refl :args (@t45)) % 0.44/0.68 (step @p134 :rule beta-reduce :args ((= @t173 @t41))) % 0.44/0.68 (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t174)) % 0.44/0.68 (step @p136 :rule cong :premises (@p135) :args (@t175)) % 0.44/0.68 (step @p137 :rule beta-reduce :args ((= (_ @t46 @t172) @t175))) % 0.44/0.68 (step @p138 :rule trans :premises (@p137 @p136)) % 0.44/0.68 (step @p139 :rule beta-reduce :args ((= (_ @t43 @t39) @t172))) % 0.44/0.68 (step @p140 :rule refl :args (@t46)) % 0.44/0.68 (step @p141 :rule ho_cong :premises (@p140 @p139)) % 0.44/0.68 (step @p142 :rule trans :premises (@p141 @p138)) % 0.44/0.68 (step @p143 :rule ho_cong :premises (@p142 @p132)) % 0.44/0.68 (step @p144 :rule trans :premises (@p143 @p131)) % 0.44/0.68 (step @p145 :rule ho_cong :premises (@p144 @p87)) % 0.44/0.68 (step @p146 :rule trans :premises (@p145 @p130)) % 0.44/0.68 (step @p147 :rule refl :args (@t39)) % 0.44/0.68 (step @p148 :rule ho_cong :premises (@p43 @p147)) % 0.44/0.68 (step @p149 :rule ho_cong :premises (@p44 @p148)) % 0.44/0.68 (step @p150 :rule ho_cong :premises (@p149 @p132)) % 0.44/0.68 (step @p151 :rule ho_cong :premises (@p150 @p87)) % 0.44/0.68 (step @p152 :rule trans :premises (@p151 @p146)) % 0.44/0.68 (step @p153 :rule cong :premises (@p152) :args (@t52)) % 0.44/0.68 (step @p154 :rule trans :premises (@p46 @p153)) % 0.44/0.68 (step @p155 :rule ho_cong :premises (@p154 @p129)) % 0.44/0.68 (step @p156 :rule ho_cong :premises (@p155 @p113)) % 0.44/0.68 (step @p157 :rule refl :args (tptp.a2)) % 0.44/0.68 (step @p158 :rule refl :args (@t156)) % 0.44/0.68 (step @p159 :rule refl :args (@t72)) % 0.44/0.68 (step @p160 :rule cong :premises (@p159 @p158) :args ((= @t72 @t156))) % 0.44/0.68 (step @p161 :rule symm :premises (@p160)) % 0.44/0.68 (step @p162 :rule eq_resolve :premises (@p159 @p161)) % 0.44/0.68 (step @p163 :rule refl :args (@t165)) % 0.44/0.68 (step @p164 :rule refl :args (@t74)) % 0.44/0.68 (step @p165 :rule cong :premises (@p164 @p163) :args ((= @t74 @t165))) % 0.44/0.68 (step @p166 :rule symm :premises (@p165)) % 0.44/0.68 (step @p167 :rule eq_resolve :premises (@p164 @p166)) % 0.44/0.68 (step @p168 :rule cong :premises (@p167) :args (@t75)) % 0.44/0.68 (step @p169 :rule nary_cong :premises (@p168 @p162) :args (@t76)) % 0.44/0.68 (step @p170 :rule cong :premises (@p169) :args (@t78)) % 0.44/0.68 (step @p171 :rule cong :premises (@p170) :args (@t80)) % 0.44/0.68 (step @p172 :rule trans :premises (@p55 @p171)) % 0.44/0.68 (step @p173 :rule ho_cong :premises (@p172 @p157)) % 0.44/0.68 (step @p174 :rule ho_cong :premises (@p173 @p156)) % 0.44/0.68 (step @p175 :rule ho_cong :premises (@p174 @p87)) % 0.44/0.68 (step @p176 :rule cong :premises (@p175) :args (@t16)) % 0.44/0.68 (step @p177 :rule refl :args (@t141)) % 0.44/0.68 (step @p178 :rule refl :args (@t58)) % 0.44/0.68 (step @p179 :rule cong :premises (@p178 @p177) :args ((= @t58 @t141))) % 0.44/0.68 (step @p180 :rule symm :premises (@p179)) % 0.44/0.68 (step @p181 :rule eq_resolve :premises (@p178 @p180)) % 0.44/0.68 (step @p182 :rule cong :premises (@p181) :args (@t60)) % 0.44/0.68 (step @p183 :rule cong :premises (@p182) :args (@t62)) % 0.44/0.68 (step @p184 :rule trans :premises (@p50 @p183)) % 0.44/0.68 (step @p185 :rule ho_cong :premises (@p184 @p176)) % 0.44/0.68 (step @p186 :rule refl :args (@t132)) % 0.44/0.68 (step @p187 :rule refl :args (@t40)) % 0.44/0.68 (step @p188 :rule cong :premises (@p187 @p186) :args ((= @t40 @t132))) % 0.44/0.68 (step @p189 :rule symm :premises (@p188)) % 0.44/0.68 (step @p190 :rule eq_resolve :premises (@p187 @p189)) % 0.44/0.68 (step @p191 :rule cong :premises (@p190) :args (@t109)) % 0.44/0.68 (step @p192 :rule cong :premises (@p191) :args (@t111)) % 0.44/0.68 (step @p193 :rule trans :premises (@p67 @p192)) % 0.44/0.68 (step @p194 :rule ho_cong :premises (@p193 @p185)) % 0.44/0.68 (step @p195 :rule trans :premises (@p194 @p128)) % 0.44/0.68 (step @p196 :rule eq_resolve :premises (@p9 @p195)) % 0.44/0.68 (step @p197 :rule quant-merge-prenex :args ((= (forall @t69 @t179) (forall @t178 @t177)))) % 0.44/0.68 (step @p198 :rule beta-reduce :args ((= @t181 @t179))) % 0.44/0.68 (step @p199 :rule cong :premises (@p198) :args (@t182)) % 0.44/0.68 (step @p200 :rule trans :premises (@p199 @p197)) % 0.44/0.68 (step @p201 :rule beta-reduce :args ((= (_ @t133 @t180) @t182))) % 0.44/0.68 (step @p202 :rule trans :premises (@p201 @p200)) % 0.44/0.68 (step @p203 :rule refl :args (@t176)) % 0.44/0.68 (step @p204 :rule refl :args (@t183)) % 0.44/0.68 (step @p205 :rule cong :premises (@p204 @p203) :args ((= @t183 @t176))) % 0.44/0.68 (step @p206 :rule symm :premises (@p205)) % 0.44/0.68 (step @p207 :rule eq_resolve :premises (@p204 @p206)) % 0.44/0.68 (step @p208 :rule nary_cong :premises (@p99 @p207) :args (@t184)) % 0.44/0.68 (step @p209 :rule cong :premises (@p208) :args ((forall @t77 @t184))) % 0.44/0.68 (step @p210 :rule refl :args (@t185)) % 0.44/0.68 (step @p211 :rule nary_cong :premises (@p104 @p210) :args (@t186)) % 0.44/0.68 (step @p212 :rule cong :premises (@p211) :args (@t187)) % 0.44/0.68 (step @p213 :rule trans :premises (@p212 @p209)) % 0.44/0.68 (step @p214 :rule cong :premises (@p213) :args (@t188)) % 0.44/0.68 (step @p215 :rule beta-reduce :args ((= (_ @t157 @t13) @t188))) % 0.44/0.68 (step @p216 :rule trans :premises (@p215 @p214)) % 0.44/0.68 (step @p217 :rule refl :args (@t13)) % 0.44/0.68 (step @p218 :rule ho_cong :premises (@p117 @p217)) % 0.44/0.68 (step @p219 :rule trans :premises (@p218 @p216)) % 0.44/0.68 (step @p220 :rule ho_cong :premises (@p126 @p219)) % 0.44/0.68 (step @p221 :rule trans :premises (@p220 @p202)) % 0.44/0.68 (step @p222 :rule ho_cong :premises (@p173 @p217)) % 0.44/0.68 (step @p223 :rule ho_cong :premises (@p193 @p222)) % 0.44/0.68 (step @p224 :rule trans :premises (@p223 @p221)) % 0.44/0.68 (step @p225 :rule eq_resolve :premises (@p6 @p224)) % 0.44/0.68 (step @p226 :rule instantiate :premises (@p225) :args ((@list @t193 @t196))) % 0.44/0.68 (step @p227 :rule quant-merge-prenex :args ((= (forall @t69 @t208) (forall (@list @t34 @t7 @t197 @t71) @t207)))) % 0.44/0.68 (step @p228 :rule beta-reduce :args ((= @t210 @t208))) % 0.44/0.68 (step @p229 :rule cong :premises (@p228) :args (@t211)) % 0.44/0.68 (step @p230 :rule trans :premises (@p229 @p227)) % 0.44/0.68 (step @p231 :rule beta-reduce :args ((= (_ @t133 @t209) @t211))) % 0.44/0.68 (step @p232 :rule trans :premises (@p231 @p230)) % 0.44/0.68 (step @p233 :rule quant-merge-prenex :args ((= (forall @t59 @t213) @t208))) % 0.44/0.68 (step @p234 :rule beta-reduce :args ((= @t217 @t213))) % 0.44/0.68 (step @p235 :rule cong :premises (@p234) :args (@t218)) % 0.44/0.68 (step @p236 :rule trans :premises (@p235 @p233)) % 0.44/0.68 (step @p237 :rule cong :premises (@p236) :args (@t219)) % 0.44/0.68 (step @p238 :rule beta-reduce :args ((= (_ @t143 @t216) @t219))) % 0.44/0.68 (step @p239 :rule trans :premises (@p238 @p237)) % 0.44/0.68 (step @p240 :rule beta-reduce :args ((= (_ (lambda @t69 @t213) @t6) @t215))) % 0.44/0.68 (step @p241 :rule quant-merge-prenex :args ((= (forall @t221 @t220) @t213))) % 0.44/0.68 (step @p242 :rule beta-reduce :args ((= @t231 @t220))) % 0.44/0.68 (step @p243 :rule cong :premises (@p242) :args (@t232)) % 0.44/0.68 (step @p244 :rule trans :premises (@p243 @p241)) % 0.44/0.68 (step @p245 :rule cong :premises (@p244) :args (@t233)) % 0.44/0.68 (step @p246 :rule beta-reduce :args ((= (_ (lambda @t61 (forall @t221 (_ @t56 @t197 @t34))) @t230) @t233))) % 0.44/0.68 (step @p247 :rule trans :premises (@p246 @p245)) % 0.44/0.68 (step @p248 :rule refl :args (@t230)) % 0.44/0.68 (step @p249 :rule alpha_equiv :args (@t142 @t234 (@list @t197))) % 0.44/0.68 (step @p250 :rule cong :premises (@p249) :args (@t143)) % 0.44/0.68 (step @p251 :rule ho_cong :premises (@p250 @p248)) % 0.44/0.68 (step @p252 :rule trans :premises (@p251 @p247)) % 0.44/0.68 (step @p253 :rule beta-reduce :args ((= (_ (lambda @t69 (forall @t77 (or @t206 @t228 @t227 @t225 @t223))) @t6) @t229))) % 0.44/0.68 (step @p254 :rule refl :args (@t223)) % 0.44/0.68 (step @p255 :rule refl :args (@t225)) % 0.44/0.68 (step @p256 :rule refl :args (@t226)) % 0.44/0.68 (step @p257 :rule refl :args (@t235)) % 0.44/0.68 (step @p258 :rule cong :premises (@p257 @p256) :args ((= @t235 @t226))) % 0.44/0.68 (step @p259 :rule symm :premises (@p258)) % 0.44/0.68 (step @p260 :rule eq_resolve :premises (@p257 @p259)) % 0.44/0.68 (step @p261 :rule cong :premises (@p260) :args (@t236)) % 0.44/0.68 (step @p262 :rule refl :args (@t228)) % 0.44/0.68 (step @p263 :rule refl :args (@t237)) % 0.44/0.68 (step @p264 :rule cong :premises (@p263 @p262) :args ((= @t237 @t228))) % 0.44/0.68 (step @p265 :rule symm :premises (@p264)) % 0.44/0.68 (step @p266 :rule eq_resolve :premises (@p263 @p265)) % 0.44/0.68 (step @p267 :rule refl :args (@t206)) % 0.44/0.68 (step @p268 :rule nary_cong :premises (@p267 @p266 @p261 @p255 @p254) :args (@t238)) % 0.44/0.68 (step @p269 :rule cong :premises (@p268) :args ((forall @t77 @t238))) % 0.44/0.68 (step @p270 :rule aci_norm :args ((= (or @t206 @t239) @t238))) % 0.44/0.68 (step @p271 :rule beta-reduce :args ((= (_ (lambda @t150 (or @t241 @t240 (not (forall @t202 (or (not (tptp.a1 @t6 @t200)) @t224))) (not (forall @t194 (or (not (tptp.a2 @t6 @t189)) @t222))))) @t71) @t239))) % 0.44/0.68 (step @p272 :rule refl :args (@t71)) % 0.44/0.68 (step @p273 :rule alpha_equiv :args (@t242 @t243 (@list @t189))) % 0.44/0.68 (step @p274 :rule cong :premises (@p273) :args (@t244)) % 0.44/0.68 (step @p275 :rule alpha_equiv :args (@t245 @t243 (@list @t200))) % 0.44/0.68 (step @p276 :rule cong :premises (@p275) :args (@t246)) % 0.44/0.68 (step @p277 :rule refl :args (@t240)) % 0.44/0.68 (step @p278 :rule refl :args (@t241)) % 0.44/0.68 (step @p279 :rule nary_cong :premises (@p278 @p277 @p276 @p274) :args (@t247)) % 0.44/0.68 (step @p280 :rule cong :premises (@p279) :args (@t248)) % 0.44/0.68 (step @p281 :rule ho_cong :premises (@p280 @p272)) % 0.44/0.68 (step @p282 :rule trans :premises (@p281 @p271)) % 0.44/0.68 (step @p283 :rule refl :args (@t206)) % 0.44/0.68 (step @p284 :rule nary_cong :premises (@p283 @p282) :args (@t249)) % 0.44/0.68 (step @p285 :rule trans :premises (@p284 @p270)) % 0.44/0.68 (step @p286 :rule cong :premises (@p285) :args (@t250)) % 0.44/0.68 (step @p287 :rule trans :premises (@p286 @p269)) % 0.44/0.68 (step @p288 :rule cong :premises (@p287) :args (@t251)) % 0.44/0.68 (step @p289 :rule beta-reduce :args ((= (_ @t252 @t248) @t251))) % 0.44/0.68 (step @p290 :rule trans :premises (@p289 @p288)) % 0.44/0.68 (step @p291 :rule beta-reduce :args ((= (_ (lambda @t159 @t253) @t21) @t248))) % 0.44/0.68 (step @p292 :rule refl :args (@t21)) % 0.44/0.68 (step @p293 :rule aci_norm :args ((= (or @t254 @t158) @t253))) % 0.44/0.68 (step @p294 :rule refl :args (@t158)) % 0.44/0.68 (step @p295 :rule bool-double-not-elim :args (@t254)) % 0.44/0.68 (step @p296 :rule beta-reduce :args ((= @t257 @t255))) % 0.44/0.68 (step @p297 :rule cong :premises (@p296) :args (@t258)) % 0.44/0.68 (step @p298 :rule trans :premises (@p297 @p295)) % 0.44/0.68 (step @p299 :rule nary_cong :premises (@p298 @p294) :args (@t259)) % 0.44/0.68 (step @p300 :rule trans :premises (@p299 @p293)) % 0.44/0.68 (step @p301 :rule cong :premises (@p300) :args (@t260)) % 0.44/0.68 (step @p302 :rule beta-reduce :args ((= (_ @t163 @t256) @t260))) % 0.44/0.68 (step @p303 :rule trans :premises (@p302 @p301)) % 0.44/0.68 (step @p304 :rule aci_norm :args ((= (or @t240 @t261) @t254))) % 0.44/0.68 (step @p305 :rule bool-double-not-elim :args (@t261)) % 0.44/0.68 (step @p306 :rule beta-reduce :args ((= @t264 @t262))) % 0.44/0.68 (step @p307 :rule cong :premises (@p306) :args (@t265)) % 0.44/0.68 (step @p308 :rule trans :premises (@p307 @p305)) % 0.44/0.68 (step @p309 :rule refl :args (@t240)) % 0.44/0.68 (step @p310 :rule nary_cong :premises (@p309 @p308) :args (@t266)) % 0.44/0.68 (step @p311 :rule trans :premises (@p310 @p304)) % 0.44/0.68 (step @p312 :rule cong :premises (@p311) :args (@t267)) % 0.44/0.68 (step @p313 :rule cong :premises (@p312) :args (@t268)) % 0.44/0.68 (step @p314 :rule beta-reduce :args ((= (_ @t270 @t263) @t268))) % 0.44/0.68 (step @p315 :rule trans :premises (@p314 @p313)) % 0.44/0.68 (step @p316 :rule beta-reduce :args ((= @t272 @t242))) % 0.44/0.68 (step @p317 :rule cong :premises (@p316) :args (@t273)) % 0.44/0.68 (step @p318 :rule refl :args (@t246)) % 0.44/0.68 (step @p319 :rule nary_cong :premises (@p318 @p317) :args (@t274)) % 0.44/0.68 (step @p320 :rule cong :premises (@p319) :args (@t275)) % 0.44/0.68 (step @p321 :rule cong :premises (@p320) :args (@t276)) % 0.44/0.68 (step @p322 :rule beta-reduce :args ((= (_ (lambda @t159 (not (or @t246 @t269))) @t271) @t276))) % 0.44/0.68 (step @p323 :rule trans :premises (@p322 @p321)) % 0.44/0.68 (step @p324 :rule nary_cong :premises (@p99 @p260) :args (@t277)) % 0.44/0.68 (step @p325 :rule cong :premises (@p324) :args ((forall @t77 @t277))) % 0.44/0.68 (step @p326 :rule refl :args (@t278)) % 0.44/0.68 (step @p327 :rule nary_cong :premises (@p104 @p326) :args (@t279)) % 0.44/0.68 (step @p328 :rule cong :premises (@p327) :args (@t280)) % 0.44/0.68 (step @p329 :rule trans :premises (@p328 @p325)) % 0.44/0.68 (step @p330 :rule cong :premises (@p329) :args (@t281)) % 0.44/0.68 (step @p331 :rule beta-reduce :args ((= (_ @t157 @t22) @t281))) % 0.44/0.68 (step @p332 :rule trans :premises (@p331 @p330)) % 0.44/0.68 (step @p333 :rule refl :args (@t22)) % 0.44/0.68 (step @p334 :rule ho_cong :premises (@p117 @p333)) % 0.44/0.68 (step @p335 :rule trans :premises (@p334 @p332)) % 0.44/0.68 (step @p336 :rule refl :args (@t269)) % 0.44/0.68 (step @p337 :rule beta-reduce :args ((= @t284 @t245))) % 0.44/0.68 (step @p338 :rule cong :premises (@p337) :args (@t285)) % 0.44/0.68 (step @p339 :rule nary_cong :premises (@p338 @p336) :args (@t286)) % 0.44/0.68 (step @p340 :rule cong :premises (@p339) :args (@t287)) % 0.44/0.68 (step @p341 :rule cong :premises (@p340) :args (@t288)) % 0.44/0.68 (step @p342 :rule beta-reduce :args ((= (_ @t290 @t283) @t288))) % 0.44/0.68 (step @p343 :rule trans :premises (@p342 @p341)) % 0.44/0.68 (step @p344 :rule refl :args (@t282)) % 0.44/0.68 (step @p345 :rule nary_cong :premises (@p344 @p260) :args (@t291)) % 0.44/0.68 (step @p346 :rule cong :premises (@p345) :args ((forall @t77 @t291))) % 0.44/0.68 (step @p347 :rule refl :args (@t282)) % 0.44/0.68 (step @p348 :rule nary_cong :premises (@p347 @p326) :args (@t292)) % 0.44/0.68 (step @p349 :rule cong :premises (@p348) :args (@t293)) % 0.44/0.68 (step @p350 :rule trans :premises (@p349 @p346)) % 0.44/0.68 (step @p351 :rule cong :premises (@p350) :args (@t294)) % 0.44/0.68 (step @p352 :rule beta-reduce :args ((= (_ @t295 @t22) @t294))) % 0.44/0.68 (step @p353 :rule trans :premises (@p352 @p351)) % 0.44/0.68 (step @p354 :rule beta-reduce :args ((= @t296 @t295))) % 0.44/0.68 (step @p355 :rule ho_cong :premises (@p354 @p333)) % 0.44/0.68 (step @p356 :rule trans :premises (@p355 @p353)) % 0.44/0.68 (step @p357 :rule refl :args (@t290)) % 0.44/0.68 (step @p358 :rule ho_cong :premises (@p357 @p356)) % 0.44/0.68 (step @p359 :rule trans :premises (@p358 @p343)) % 0.44/0.68 (step @p360 :rule ho_cong :premises (@p359 @p335)) % 0.44/0.68 (step @p361 :rule trans :premises (@p360 @p323)) % 0.44/0.68 (step @p362 :rule beta-reduce :args ((= @t297 @t270))) % 0.44/0.68 (step @p363 :rule ho_cong :premises (@p362 @p361)) % 0.44/0.68 (step @p364 :rule trans :premises (@p363 @p315)) % 0.44/0.68 (step @p365 :rule refl :args (@t163)) % 0.44/0.68 (step @p366 :rule ho_cong :premises (@p365 @p364)) % 0.44/0.68 (step @p367 :rule trans :premises (@p366 @p303)) % 0.44/0.68 (step @p368 :rule ho_cong :premises (@p367 @p292)) % 0.44/0.68 (step @p369 :rule trans :premises (@p368 @p291)) % 0.44/0.68 (step @p370 :rule beta-reduce :args ((= @t298 @t252))) % 0.44/0.68 (step @p371 :rule ho_cong :premises (@p370 @p369)) % 0.44/0.68 (step @p372 :rule trans :premises (@p371 @p290)) % 0.44/0.68 (step @p373 :rule ho_cong :premises (@p372 @p87)) % 0.44/0.68 (step @p374 :rule trans :premises (@p373 @p253)) % 0.44/0.68 (step @p375 :rule cong :premises (@p374) :args (@t299)) % 0.44/0.68 (step @p376 :rule ho_cong :premises (@p123 @p375)) % 0.44/0.68 (step @p377 :rule trans :premises (@p376 @p252)) % 0.44/0.68 (step @p378 :rule ho_cong :premises (@p377 @p87)) % 0.44/0.68 (step @p379 :rule trans :premises (@p378 @p240)) % 0.44/0.68 (step @p380 :rule cong :premises (@p379) :args ((lambda @t12 (_ (_ @t143 @t299) @t6)))) % 0.44/0.68 (step @p381 :rule ho_cong :premises (@p123 @p380)) % 0.44/0.68 (step @p382 :rule trans :premises (@p381 @p239)) % 0.44/0.68 (step @p383 :rule ho_cong :premises (@p126 @p382)) % 0.44/0.68 (step @p384 :rule trans :premises (@p383 @p232)) % 0.44/0.68 (step @p385 :rule ho_cong :premises (@p173 @p333)) % 0.44/0.68 (step @p386 :rule refl :args (tptp.a1)) % 0.44/0.68 (step @p387 :rule ho_cong :premises (@p172 @p386)) % 0.44/0.68 (step @p388 :rule ho_cong :premises (@p387 @p333)) % 0.44/0.68 (step @p389 :rule beta-reduce :args ((= (_ (lambda @t69 (not @t301)) @t6) @t289))) % 0.44/0.68 (step @p390 :rule beta-reduce :args ((= @t303 @t301))) % 0.44/0.68 (step @p391 :rule cong :premises (@p390) :args (@t304)) % 0.44/0.68 (step @p392 :rule cong :premises (@p391) :args (@t305)) % 0.44/0.68 (step @p393 :rule beta-reduce :args ((= (_ @t43 @t302) @t305))) % 0.44/0.68 (step @p394 :rule trans :premises (@p393 @p392)) % 0.44/0.68 (step @p395 :rule beta-reduce :args ((= @t307 @t300))) % 0.44/0.68 (step @p396 :rule refl :args (@t41)) % 0.44/0.68 (step @p397 :rule nary_cong :premises (@p396 @p395) :args (@t308)) % 0.44/0.68 (step @p398 :rule cong :premises (@p397) :args (@t309)) % 0.44/0.68 (step @p399 :rule beta-reduce :args ((= (_ @t171 @t306) @t309))) % 0.44/0.68 (step @p400 :rule trans :premises (@p399 @p398)) % 0.44/0.68 (step @p401 :rule beta-reduce :args ((= (_ @t43 @t44) @t306))) % 0.44/0.68 (step @p402 :rule ho_cong :premises (@p142 @p401)) % 0.44/0.68 (step @p403 :rule trans :premises (@p402 @p400)) % 0.44/0.68 (step @p404 :rule refl :args (@t43)) % 0.44/0.68 (step @p405 :rule ho_cong :premises (@p404 @p403)) % 0.44/0.68 (step @p406 :rule trans :premises (@p405 @p394)) % 0.44/0.68 (step @p407 :rule ho_cong :premises (@p406 @p87)) % 0.44/0.68 (step @p408 :rule trans :premises (@p407 @p389)) % 0.44/0.68 (step @p409 :rule ho_cong :premises (@p43 @p132)) % 0.44/0.68 (step @p410 :rule ho_cong :premises (@p149 @p409)) % 0.44/0.68 (step @p411 :rule ho_cong :premises (@p43 @p410)) % 0.44/0.68 (step @p412 :rule ho_cong :premises (@p411 @p87)) % 0.44/0.68 (step @p413 :rule trans :premises (@p412 @p408)) % 0.44/0.68 (step @p414 :rule cong :premises (@p413) :args (@t51)) % 0.44/0.68 (step @p415 :rule trans :premises (@p45 @p414)) % 0.44/0.68 (step @p416 :rule ho_cong :premises (@p415 @p388)) % 0.44/0.68 (step @p417 :rule ho_cong :premises (@p416 @p385)) % 0.44/0.68 (step @p418 :rule ho_cong :premises (@p415 @p333)) % 0.44/0.68 (step @p419 :rule ho_cong :premises (@p418 @p417)) % 0.44/0.68 (step @p420 :rule ho_cong :premises (@p154 @p419)) % 0.44/0.68 (step @p421 :rule ho_cong :premises (@p420 @p292)) % 0.44/0.68 (step @p422 :rule refl :args (tptp.a3)) % 0.44/0.68 (step @p423 :rule ho_cong :premises (@p172 @p422)) % 0.44/0.68 (step @p424 :rule ho_cong :premises (@p423 @p421)) % 0.44/0.68 (step @p425 :rule ho_cong :premises (@p424 @p87)) % 0.44/0.68 (step @p426 :rule cong :premises (@p425) :args (@t24)) % 0.44/0.68 (step @p427 :rule ho_cong :premises (@p184 @p426)) % 0.44/0.68 (step @p428 :rule ho_cong :premises (@p427 @p87)) % 0.44/0.68 (step @p429 :rule cong :premises (@p428) :args (@t25)) % 0.44/0.68 (step @p430 :rule ho_cong :premises (@p184 @p429)) % 0.44/0.68 (step @p431 :rule ho_cong :premises (@p193 @p430)) % 0.44/0.68 (step @p432 :rule trans :premises (@p431 @p384)) % 0.44/0.68 (step @p433 :rule eq_resolve :premises (@p14 @p432)) % 0.44/0.68 (step @p434 :rule instantiate :premises (@p433) :args ((@list @t191 tptp.jan tptp.cola @t193))) % 0.44/0.68 (step @p435 :rule quant-merge-prenex :args ((= (forall @t69 @t312) (forall @t178 @t311)))) % 0.44/0.68 (step @p436 :rule beta-reduce :args ((= @t314 @t312))) % 0.44/0.68 (step @p437 :rule cong :premises (@p436) :args (@t315)) % 0.44/0.68 (step @p438 :rule trans :premises (@p437 @p435)) % 0.44/0.68 (step @p439 :rule beta-reduce :args ((= (_ @t133 @t313) @t315))) % 0.44/0.68 (step @p440 :rule trans :premises (@p439 @p438)) % 0.44/0.68 (step @p441 :rule refl :args (@t310)) % 0.44/0.68 (step @p442 :rule refl :args (@t316)) % 0.44/0.68 (step @p443 :rule cong :premises (@p442 @p441) :args ((= @t316 @t310))) % 0.44/0.68 (step @p444 :rule symm :premises (@p443)) % 0.44/0.68 (step @p445 :rule eq_resolve :premises (@p442 @p444)) % 0.44/0.68 (step @p446 :rule nary_cong :premises (@p344 @p445) :args (@t317)) % 0.44/0.68 (step @p447 :rule cong :premises (@p446) :args ((forall @t77 @t317))) % 0.44/0.68 (step @p448 :rule refl :args (@t318)) % 0.44/0.68 (step @p449 :rule nary_cong :premises (@p347 @p448) :args (@t319)) % 0.44/0.68 (step @p450 :rule cong :premises (@p449) :args (@t320)) % 0.44/0.68 (step @p451 :rule trans :premises (@p450 @p447)) % 0.44/0.68 (step @p452 :rule cong :premises (@p451) :args (@t321)) % 0.44/0.68 (step @p453 :rule beta-reduce :args ((= (_ @t295 @t2) @t321))) % 0.44/0.68 (step @p454 :rule trans :premises (@p453 @p452)) % 0.44/0.68 (step @p455 :rule refl :args (@t2)) % 0.44/0.68 (step @p456 :rule ho_cong :premises (@p354 @p455)) % 0.44/0.68 (step @p457 :rule trans :premises (@p456 @p454)) % 0.44/0.68 (step @p458 :rule ho_cong :premises (@p126 @p457)) % 0.44/0.68 (step @p459 :rule trans :premises (@p458 @p440)) % 0.44/0.68 (step @p460 :rule ho_cong :premises (@p387 @p455)) % 0.44/0.68 (step @p461 :rule ho_cong :premises (@p193 @p460)) % 0.44/0.68 (step @p462 :rule trans :premises (@p461 @p459)) % 0.44/0.68 (step @p463 :rule eq_resolve :premises (@p2 @p462)) % 0.44/0.68 (step @p464 :rule instantiate :premises (@p463) :args ((@list @t193 @t323))) % 0.44/0.68 (step @p465 :rule refl :args (@t325)) % 0.44/0.68 (step @p466 :rule bool-double-not-elim :args (@t322)) % 0.44/0.68 (step @p467 :rule nary_cong :premises (@p466 @p465) :args ((or (not @t326) @t325))) % 0.44/0.68 (assume-push @p647 @t326) % 0.44/0.68 (step @p469 :rule skolemize :premises (@p647)) % 0.44/0.68 (step-pop @p648 :rule scope :premises (@p469)) % 0.44/0.68 (step @p470 :rule process_scope :premises (@p648) :args (@t325)) % 0.44/0.68 (step @p472 :rule implies_elim :premises (@p470)) % 0.44/0.68 (step @p473 :rule eq_resolve :premises (@p472 @p467)) % 0.44/0.68 (step @p474 :rule chain_m_resolution :premises (@p473 @p464) :args (@t322 (@list false) (@list @t324))) % 0.44/0.68 (step @p475 :rule quant-merge-prenex :args ((= (forall @t69 @t328) (forall @t178 @t327)))) % 0.44/0.68 (step @p476 :rule beta-reduce :args ((= @t330 @t328))) % 0.44/0.68 (step @p477 :rule cong :premises (@p476) :args (@t331)) % 0.44/0.68 (step @p478 :rule trans :premises (@p477 @p475)) % 0.44/0.68 (step @p479 :rule beta-reduce :args ((= (_ @t133 @t329) @t331))) % 0.44/0.68 (step @p480 :rule trans :premises (@p479 @p478)) % 0.44/0.68 (step @p481 :rule nary_cong :premises (@p267 @p445) :args (@t332)) % 0.44/0.68 (step @p482 :rule cong :premises (@p481) :args ((forall @t77 @t332))) % 0.44/0.68 (step @p483 :rule nary_cong :premises (@p283 @p448) :args (@t333)) % 0.44/0.68 (step @p484 :rule cong :premises (@p483) :args (@t334)) % 0.44/0.68 (step @p485 :rule trans :premises (@p484 @p482)) % 0.44/0.68 (step @p486 :rule cong :premises (@p485) :args (@t335)) % 0.44/0.68 (step @p487 :rule beta-reduce :args ((= (_ @t252 @t2) @t335))) % 0.44/0.68 (step @p488 :rule trans :premises (@p487 @p486)) % 0.44/0.68 (step @p489 :rule ho_cong :premises (@p370 @p455)) % 0.44/0.68 (step @p490 :rule trans :premises (@p489 @p488)) % 0.44/0.68 (step @p491 :rule ho_cong :premises (@p126 @p490)) % 0.44/0.68 (step @p492 :rule trans :premises (@p491 @p480)) % 0.44/0.68 (step @p493 :rule ho_cong :premises (@p423 @p455)) % 0.44/0.68 (step @p494 :rule ho_cong :premises (@p193 @p493)) % 0.44/0.68 (step @p495 :rule trans :premises (@p494 @p492)) % 0.44/0.68 (step @p496 :rule eq_resolve :premises (@p11 @p495)) % 0.44/0.68 (step @p497 :rule instantiate :premises (@p496) :args ((@list @t191 @t193))) % 0.44/0.68 (step @p498 :rule quant-merge-prenex :args ((= (forall @t69 @t341) (forall (@list @t34 @t7 @t336) @t340)))) % 0.44/0.68 (step @p499 :rule beta-reduce :args ((= @t343 @t341))) % 0.44/0.68 (step @p500 :rule cong :premises (@p499) :args (@t344)) % 0.44/0.68 (step @p501 :rule trans :premises (@p500 @p498)) % 0.44/0.68 (step @p502 :rule beta-reduce :args ((= (_ @t133 @t342) @t344))) % 0.44/0.68 (step @p503 :rule trans :premises (@p502 @p501)) % 0.44/0.68 (step @p504 :rule quant-merge-prenex :args ((= (forall @t59 @t346) @t341))) % 0.44/0.68 (step @p505 :rule beta-reduce :args ((= @t349 @t346))) % 0.44/0.68 (step @p506 :rule cong :premises (@p505) :args (@t350)) % 0.44/0.68 (step @p507 :rule trans :premises (@p506 @p504)) % 0.44/0.68 (step @p508 :rule cong :premises (@p507) :args (@t351)) % 0.44/0.68 (step @p509 :rule beta-reduce :args ((= (_ @t143 @t348) @t351))) % 0.44/0.68 (step @p510 :rule trans :premises (@p509 @p508)) % 0.44/0.68 (step @p511 :rule beta-reduce :args ((= (_ (lambda @t69 @t346) @t6) @t347))) % 0.44/0.68 (step @p512 :rule refl :args (@t337)) % 0.44/0.68 (step @p513 :rule refl :args (@t352)) % 0.44/0.68 (step @p514 :rule cong :premises (@p513 @p512) :args ((= @t352 @t337))) % 0.44/0.68 (step @p515 :rule symm :premises (@p514)) % 0.44/0.68 (step @p516 :rule eq_resolve :premises (@p513 @p515)) % 0.44/0.68 (step @p517 :rule refl :args (@t339)) % 0.44/0.68 (step @p518 :rule nary_cong :premises (@p517 @p516) :args (@t353)) % 0.44/0.68 (step @p519 :rule cong :premises (@p518) :args ((forall @t345 @t353))) % 0.44/0.68 (step @p520 :rule beta-reduce :args ((= @t358 @t353))) % 0.44/0.68 (step @p521 :rule cong :premises (@p520) :args (@t359)) % 0.44/0.68 (step @p522 :rule trans :premises (@p521 @p519)) % 0.44/0.68 (step @p523 :rule cong :premises (@p522) :args (@t360)) % 0.44/0.68 (step @p524 :rule beta-reduce :args ((= (_ (lambda @t61 (forall @t345 (_ @t56 @t336 @t34))) @t357) @t360))) % 0.44/0.68 (step @p525 :rule trans :premises (@p524 @p523)) % 0.44/0.68 (step @p526 :rule refl :args (@t357)) % 0.44/0.68 (step @p527 :rule alpha_equiv :args (@t142 @t234 (@list @t336))) % 0.44/0.68 (step @p528 :rule cong :premises (@p527) :args (@t143)) % 0.44/0.68 (step @p529 :rule ho_cong :premises (@p528 @p526)) % 0.44/0.68 (step @p530 :rule trans :premises (@p529 @p525)) % 0.44/0.68 (step @p531 :rule beta-reduce :args ((= (_ @t361 @t6) @t356))) % 0.44/0.68 (step @p532 :rule beta-reduce :args ((= (_ (lambda @t159 (or @t355 @t158)) @t21) @t361))) % 0.44/0.68 (step @p533 :rule beta-reduce :args ((= @t363 @t354))) % 0.44/0.68 (step @p534 :rule cong :premises (@p533) :args (@t364)) % 0.44/0.68 (step @p535 :rule nary_cong :premises (@p534 @p294) :args (@t365)) % 0.44/0.68 (step @p536 :rule cong :premises (@p535) :args (@t366)) % 0.44/0.68 (step @p537 :rule beta-reduce :args ((= (_ @t163 @t362) @t366))) % 0.44/0.68 (step @p538 :rule trans :premises (@p537 @p536)) % 0.44/0.68 (step @p539 :rule nary_cong :premises (@p267 @p266) :args (@t367)) % 0.44/0.68 (step @p540 :rule cong :premises (@p539) :args ((forall @t77 @t367))) % 0.44/0.68 (step @p541 :rule refl :args (@t368)) % 0.44/0.68 (step @p542 :rule nary_cong :premises (@p283 @p541) :args (@t369)) % 0.44/0.68 (step @p543 :rule cong :premises (@p542) :args (@t370)) % 0.44/0.68 (step @p544 :rule trans :premises (@p543 @p540)) % 0.44/0.68 (step @p545 :rule cong :premises (@p544) :args (@t371)) % 0.44/0.68 (step @p546 :rule beta-reduce :args ((= (_ @t252 @t21) @t371))) % 0.44/0.68 (step @p547 :rule trans :premises (@p546 @p545)) % 0.44/0.68 (step @p548 :rule ho_cong :premises (@p370 @p292)) % 0.44/0.68 (step @p549 :rule trans :premises (@p548 @p547)) % 0.44/0.68 (step @p550 :rule ho_cong :premises (@p365 @p549)) % 0.44/0.68 (step @p551 :rule trans :premises (@p550 @p538)) % 0.44/0.68 (step @p552 :rule ho_cong :premises (@p551 @p292)) % 0.44/0.68 (step @p553 :rule trans :premises (@p552 @p532)) % 0.44/0.68 (step @p554 :rule ho_cong :premises (@p553 @p87)) % 0.44/0.68 (step @p555 :rule trans :premises (@p554 @p531)) % 0.44/0.68 (step @p556 :rule cong :premises (@p555) :args (@t372)) % 0.44/0.68 (step @p557 :rule ho_cong :premises (@p123 @p556)) % 0.44/0.68 (step @p558 :rule trans :premises (@p557 @p530)) % 0.44/0.68 (step @p559 :rule ho_cong :premises (@p558 @p87)) % 0.44/0.68 (step @p560 :rule trans :premises (@p559 @p511)) % 0.44/0.68 (step @p561 :rule cong :premises (@p560) :args ((lambda @t12 (_ (_ @t143 @t372) @t6)))) % 0.44/0.68 (step @p562 :rule ho_cong :premises (@p123 @p561)) % 0.44/0.68 (step @p563 :rule trans :premises (@p562 @p510)) % 0.44/0.68 (step @p564 :rule ho_cong :premises (@p126 @p563)) % 0.44/0.68 (step @p565 :rule trans :premises (@p564 @p503)) % 0.44/0.68 (step @p566 :rule ho_cong :premises (@p423 @p292)) % 0.44/0.68 (step @p567 :rule ho_cong :premises (@p154 @p566)) % 0.44/0.68 (step @p568 :rule ho_cong :premises (@p567 @p292)) % 0.44/0.68 (step @p569 :rule ho_cong :premises (@p568 @p87)) % 0.44/0.68 (step @p570 :rule cong :premises (@p569) :args (@t26)) % 0.44/0.68 (step @p571 :rule ho_cong :premises (@p184 @p570)) % 0.44/0.68 (step @p572 :rule ho_cong :premises (@p571 @p87)) % 0.44/0.68 (step @p573 :rule cong :premises (@p572) :args (@t27)) % 0.44/0.68 (step @p574 :rule ho_cong :premises (@p184 @p573)) % 0.44/0.68 (step @p575 :rule ho_cong :premises (@p193 @p574)) % 0.44/0.68 (step @p576 :rule trans :premises (@p575 @p565)) % 0.44/0.68 (step @p577 :rule eq_resolve :premises (@p15 @p576)) % 0.44/0.68 (step @p578 :rule instantiate :premises (@p577) :args ((@list @t191 tptp.jan tptp.cola))) % 0.44/0.68 (step @p579 :rule refl :args (@t190)) % 0.44/0.68 (step @p580 :rule refl :args (@t373)) % 0.44/0.68 (step @p581 :rule cong :premises (@p580 @p579) :args ((= @t373 @t190))) % 0.44/0.68 (step @p582 :rule symm :premises (@p581)) % 0.44/0.68 (step @p583 :rule eq_resolve :premises (@p580 @p582)) % 0.44/0.68 (step @p584 :rule cong :premises (@p583) :args ((forall @t69 @t373))) % 0.44/0.68 (step @p585 :rule refl :args (@t374)) % 0.44/0.68 (step @p586 :rule cong :premises (@p585) :args (@t375)) % 0.44/0.68 (step @p587 :rule trans :premises (@p586 @p584)) % 0.44/0.68 (step @p588 :rule beta-reduce :args ((= @t376 @t375))) % 0.44/0.68 (step @p589 :rule trans :premises (@p588 @p587)) % 0.44/0.68 (step @p590 :rule cong :premises (@p589) :args ((not @t376))) % 0.44/0.68 (step @p591 :rule refl :args (@t32)) % 0.44/0.68 (step @p592 :rule ho_cong :premises (@p193 @p591)) % 0.44/0.68 (step @p593 :rule cong :premises (@p592) :args (@t33)) % 0.44/0.68 (step @p594 :rule trans :premises (@p593 @p590)) % 0.44/0.68 (step @p595 :rule eq_resolve :premises (@p39 @p594)) % 0.44/0.68 (step @p596 :rule skolemize :premises (@p595)) % 0.44/0.68 (step @p597 :rule cnf_or_pos :args (@t379)) % 0.44/0.68 (step @p598 :rule reordering :premises (@p597) :args ((or @t377 @t378 (not @t379)))) % 0.44/0.68 (step @p599 :rule chain_m_resolution :premises (@p598 @p596 @p578) :args (@t378 @t380 (@list @t377 @t379))) % 0.44/0.68 (step @p600 :rule skolemize :premises (@p599)) % 0.44/0.68 (step @p601 :rule bool-double-not-elim :args (@t381)) % 0.44/0.68 (step @p602 :rule refl :args (@t384)) % 0.44/0.68 (step @p603 :rule nary_cong :premises (@p602 @p601) :args ((or @t384 (not @t383)))) % 0.44/0.68 (step @p604 :rule cnf_or_neg :args (@t384 0)) % 0.44/0.68 (step @p605 :rule eq_resolve :premises (@p604 @p603)) % 0.44/0.68 (step @p606 :rule reordering :premises (@p605) :args ((or @t381 @t384))) % 0.44/0.68 (step @p607 :rule chain_m_resolution :premises (@p606 @p600) :args (@t381 @t385 @t386)) % 0.44/0.68 (step @p608 :rule cnf_or_pos :args (@t388)) % 0.44/0.68 (step @p609 :rule reordering :premises (@p608) :args ((or @t383 @t387 (not @t388)))) % 0.44/0.68 (step @p610 :rule chain_m_resolution :premises (@p609 @p607 @p497) :args (@t387 @t389 (@list @t381 @t388))) % 0.44/0.68 (step @p611 :rule cnf_or_neg :args (@t384 1)) % 0.44/0.68 (step @p612 :rule chain_m_resolution :premises (@p611 @p600) :args ((not @t382) @t385 @t386)) % 0.44/0.68 (step @p613 :rule cnf_or_pos :args (@t392)) % 0.44/0.68 (step @p614 :rule reordering :premises (@p613) :args ((or @t383 @t382 @t391 @t326 @t390 (not @t392)))) % 0.44/0.68 (step @p615 :rule chain_m_resolution :premises (@p614 @p607 @p612 @p610 @p474 @p434) :args (@t390 (@list false true false false false) (@list @t381 @t382 @t387 @t322 @t392))) % 0.44/0.68 (step @p616 :rule refl :args (@t397)) % 0.44/0.68 (step @p617 :rule bool-double-not-elim :args (@t195)) % 0.44/0.68 (step @p618 :rule nary_cong :premises (@p617 @p616) :args ((or (not @t390) @t397))) % 0.44/0.68 (assume-push @p649 @t390) % 0.44/0.68 (step @p620 :rule skolemize :premises (@p649)) % 0.44/0.68 (step-pop @p650 :rule scope :premises (@p620)) % 0.44/0.68 (step @p621 :rule process_scope :premises (@p650) :args (@t397)) % 0.44/0.68 (step @p623 :rule implies_elim :premises (@p621)) % 0.44/0.68 (step @p624 :rule eq_resolve :premises (@p623 @p618)) % 0.44/0.68 (step @p625 :rule chain_m_resolution :premises (@p624 @p615) :args (@t397 @t385 (@list @t195))) % 0.44/0.68 (step @p626 :rule bool-double-not-elim :args (@t394)) % 0.44/0.68 (step @p627 :rule refl :args (@t396)) % 0.44/0.68 (step @p628 :rule nary_cong :premises (@p627 @p626) :args ((or @t396 (not @t395)))) % 0.44/0.68 (step @p629 :rule cnf_or_neg :args (@t396 0)) % 0.44/0.68 (step @p630 :rule eq_resolve :premises (@p629 @p628)) % 0.44/0.68 (step @p631 :rule reordering :premises (@p630) :args ((or @t394 @t396))) % 0.44/0.68 (step @p632 :rule chain_m_resolution :premises (@p631 @p625) :args (@t394 @t385 @t398)) % 0.44/0.68 (step @p633 :rule cnf_or_pos :args (@t400)) % 0.44/0.68 (step @p634 :rule reordering :premises (@p633) :args ((or @t395 @t399 (not @t400)))) % 0.44/0.68 (step @p635 :rule chain_m_resolution :premises (@p634 @p632 @p226) :args (@t399 @t389 (@list @t394 @t400))) % 0.44/0.68 (step @p636 :rule cnf_or_neg :args (@t396 1)) % 0.44/0.68 (step @p637 :rule chain_m_resolution :premises (@p636 @p625) :args ((not @t393) @t385 @t398)) % 0.44/0.68 (step @p638 :rule cnf_or_pos :args (@t402)) % 0.44/0.68 (step @p639 :rule reordering :premises (@p638) :args ((or @t395 @t393 @t401 @t403))) % 0.44/0.68 (step @p640 :rule chain_m_resolution :premises (@p639 @p632 @p637 @p635) :args (@t403 (@list false true false) (@list @t394 @t393 @t399))) % 0.44/0.68 (assume-push @p651 @t127) % 0.44/0.68 (step @p642 :rule instantiate :premises (@p196) :args ((@list @t193 tptp.jan @t196))) % 0.44/0.68 (step-pop @p652 :rule scope :premises (@p642)) % 0.44/0.68 (step @p643 :rule process_scope :premises (@p652) :args (@t402)) % 0.44/0.68 (step @p645 :rule implies_elim :premises (@p643)) % 0.44/0.68 (step @p646 false :rule chain_m_resolution :premises (@p645 @p640 @p196) :args (false @t380 (@list @t402 @t127))) % 0.44/0.68 ) % 0.44/0.68 % SZS output end Proof % 0.44/0.68 % cvc5 exiting %------------------------------------------------------------------------------