%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : AGT037^1 : 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 : n014.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 0.37s 0.80s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : AGT037^1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n014.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 01:35:13 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.52 %----Proving TH0 % 0.37/0.80 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.80 % SZS status Theorem % 0.37/0.80 % SZS output start Proof % 0.37/0.80 ( % 0.37/0.80 (declare-sort $$unsorted 0) % 0.37/0.80 (declare-sort tptp.mu 0) % 0.37/0.80 (declare-const tptp.possibly_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.37/0.80 (declare-const tptp.very_much_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.37/0.80 (declare-const tptp.beer tptp.mu) % 0.37/0.80 (declare-const tptp.cola tptp.mu) % 0.37/0.80 (declare-const tptp.jan tptp.mu) % 0.37/0.80 (declare-const tptp.likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.37/0.80 (declare-const tptp.a1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.80 (declare-const tptp.pepsi tptp.mu) % 0.37/0.80 (declare-const tptp.piotr tptp.mu) % 0.37/0.80 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.37/0.80 (declare-const tptp.a2 (-> $$unsorted $$unsorted Bool)) % 0.37/0.80 (declare-const tptp.a3 (-> $$unsorted $$unsorted Bool)) % 0.37/0.80 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.37/0.80 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.80 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.37/0.80 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.37/0.80 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.37/0.80 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.80 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.80 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.80 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.37/0.80 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.80 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.80 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.37/0.80 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.37/0.80 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.37/0.80 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.37/0.80 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.37/0.80 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.37/0.80 (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)))))))) % 0.37/0.80 (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)))))))) % 0.37/0.80 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.37/0.80 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.37/0.80 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.37/0.80 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.37/0.80 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.37/0.80 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.37/0.80 (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))))))))))))) % 0.37/0.80 (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)))))) % 0.37/0.80 (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))))))) % 0.37/0.80 (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)))))) % 0.37/0.80 (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))))))) % 0.37/0.80 (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))))))))) % 0.37/0.80 (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 $$unsorted Bool)))) (lambda (@list _let_5 _let_3) (forall (@list _let_2 _let_4 _let_1) (=> (and (_ (_ _let_5 _let_2) _let_4) (_ (_ _let_3 _let_4) _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.37/0.80 (define @t1 () (_ tptp.likes tptp.jan)) % 0.37/0.80 (define @t2 () (_ @t1 tptp.cola)) % 0.37/0.80 (define @t3 () (_ tptp.mbox tptp.a1)) % 0.37/0.80 (define @t4 () (_ tptp.likes tptp.piotr)) % 0.37/0.80 (define @t5 () (_ @t4 tptp.pepsi)) % 0.37/0.80 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.80 (define @t7 () (@var "X" tptp.mu)) % 0.37/0.80 (define @t8 () (_ tptp.likes @t7)) % 0.37/0.80 (define @t9 () (_ @t8 tptp.cola)) % 0.37/0.80 (define @t10 () (_ @t8 tptp.pepsi)) % 0.37/0.80 (define @t11 () (_ tptp.mdia tptp.a1)) % 0.37/0.80 (define @t12 () (@list @t7 @t6)) % 0.37/0.80 (define @t13 () (_ tptp.mbox tptp.a2)) % 0.37/0.80 (define @t14 () (_ @t4 tptp.beer)) % 0.37/0.80 (define @t15 () (_ tptp.mbox tptp.a3)) % 0.37/0.80 (define @t16 () (_ tptp.mdia tptp.a3)) % 0.37/0.80 (define @t17 () (@var "Y" tptp.mu)) % 0.37/0.80 (define @t18 () (_ (_ tptp.very_much_likes @t7) @t17)) % 0.37/0.80 (define @t19 () (_ @t8 @t17)) % 0.37/0.80 (define @t20 () (@list @t17 @t6)) % 0.37/0.80 (define @t21 () (_ tptp.possibly_likes @t7)) % 0.37/0.80 (define @t22 () (_ @t21 @t17)) % 0.37/0.80 (define @t23 () (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t11 @t19)) @t22) @t6))) % 0.37/0.80 (define @t24 () (lambda @t12 (_ (_ tptp.mforall_ind @t23) @t6))) % 0.37/0.80 (define @t25 () (_ tptp.subrel tptp.a1)) % 0.37/0.80 (define @t26 () (_ tptp.cond4s tptp.a1)) % 0.37/0.80 (define @t27 () (_ tptp.cond4s tptp.a2)) % 0.37/0.80 (define @t28 () (_ (_ tptp.possibly_likes tptp.jan) tptp.cola)) % 0.37/0.80 (define @t29 () (not (_ tptp.mvalid @t28))) % 0.37/0.80 (define @t30 () (@var "W" $$unsorted)) % 0.37/0.80 (define @t31 () (lambda (@list @t7 @t17 @t30) (= @t7 @t17))) % 0.37/0.80 (define @t32 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.80 (define @t33 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.80 (define @t34 () (lambda (@list @t33 @t32 @t30) (= (_ @t33 @t30) (_ @t32 @t30)))) % 0.37/0.80 (define @t35 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.80 (define @t36 () (_ @t35 @t30)) % 0.37/0.80 (define @t37 () (not @t36)) % 0.37/0.80 (define @t38 () (@list @t35 @t30)) % 0.37/0.80 (define @t39 () (lambda @t38 @t37)) % 0.37/0.80 (define @t40 () (@var "Psi" (-> $$unsorted Bool))) % 0.37/0.80 (define @t41 () (_ @t40 @t30)) % 0.37/0.80 (define @t42 () (lambda (@list @t35 @t40 @t30) (or @t36 @t41))) % 0.37/0.80 (define @t43 () (_ tptp.mnot @t40)) % 0.37/0.80 (define @t44 () (_ tptp.mnot @t35)) % 0.37/0.80 (define @t45 () (_ tptp.mor @t44)) % 0.37/0.80 (define @t46 () (@list @t35 @t40 @t6)) % 0.37/0.80 (define @t47 () (lambda @t46 (_ (_ tptp.mnot (_ @t45 @t43)) @t6))) % 0.37/0.80 (define @t48 () (lambda @t46 (_ (_ @t45 @t40) @t6))) % 0.37/0.80 (define @t49 () (lambda @t46 (_ (_ (_ tptp.mor @t43) @t35) @t6))) % 0.37/0.80 (define @t50 () (lambda @t46 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t35) @t40)) (_ (_ tptp.mimplies @t40) @t35)) @t6))) % 0.37/0.80 (define @t51 () (lambda @t46 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t35) @t40)) @t6))) % 0.37/0.80 (define @t52 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.37/0.80 (define @t53 () (_ @t52 @t7)) % 0.37/0.80 (define @t54 () (_ @t53 @t30)) % 0.37/0.80 (define @t55 () (@list @t7)) % 0.37/0.80 (define @t56 () (forall @t55 @t54)) % 0.37/0.80 (define @t57 () (@list @t52 @t30)) % 0.37/0.80 (define @t58 () (lambda @t57 @t56)) % 0.37/0.80 (define @t59 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.80 (define @t60 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.37/0.80 (define @t61 () (_ @t60 @t59)) % 0.37/0.80 (define @t62 () (lambda (@list @t60 @t30) (forall (@list @t59) (_ @t61 @t30)))) % 0.37/0.80 (define @t63 () (lambda (@list @t52 @t6) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mnot @t53) @t6)))) @t6))) % 0.37/0.80 (define @t64 () (lambda (@list @t60 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t59 @t6) (_ (_ tptp.mnot @t61) @t6)))) @t6))) % 0.37/0.80 (define @t65 () (@list @t30)) % 0.37/0.80 (define @t66 () (lambda @t65 true)) % 0.37/0.80 (define @t67 () (@var "V" $$unsorted)) % 0.37/0.80 (define @t68 () (_ @t35 @t67)) % 0.37/0.80 (define @t69 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.80 (define @t70 () (_ (_ @t69 @t30) @t67)) % 0.37/0.80 (define @t71 () (not @t70)) % 0.37/0.80 (define @t72 () (or @t71 @t68)) % 0.37/0.80 (define @t73 () (@list @t67)) % 0.37/0.80 (define @t74 () (forall @t73 @t72)) % 0.37/0.80 (define @t75 () (@list @t69 @t35 @t30)) % 0.37/0.80 (define @t76 () (lambda @t75 @t74)) % 0.37/0.80 (define @t77 () (@list @t69 @t35 @t6)) % 0.37/0.80 (define @t78 () (lambda @t77 (_ (_ tptp.mnot (_ (_ tptp.mbox @t69) @t44)) @t6))) % 0.37/0.80 (define @t79 () (@var "S" $$unsorted)) % 0.37/0.80 (define @t80 () (_ @t69 @t79)) % 0.37/0.80 (define @t81 () (@list @t79)) % 0.37/0.80 (define @t82 () (@list @t69)) % 0.37/0.80 (define @t83 () (lambda @t82 (forall @t81 (_ @t80 @t79)))) % 0.37/0.80 (define @t84 () (@var "T" $$unsorted)) % 0.37/0.80 (define @t85 () (_ @t69 @t84)) % 0.37/0.80 (define @t86 () (_ @t80 @t84)) % 0.37/0.80 (define @t87 () (lambda @t82 (forall (@list @t79 @t84) (=> @t86 (_ @t85 @t79))))) % 0.37/0.80 (define @t88 () (@list @t84)) % 0.37/0.80 (define @t89 () (lambda @t82 (forall @t81 (exists @t88 @t86)))) % 0.37/0.80 (define @t90 () (@var "U" $$unsorted)) % 0.37/0.80 (define @t91 () (_ @t80 @t90)) % 0.37/0.80 (define @t92 () (_ @t85 @t90)) % 0.37/0.80 (define @t93 () (@list @t79 @t84 @t90)) % 0.37/0.80 (define @t94 () (lambda @t82 (forall @t93 (=> (and @t86 @t92) @t91)))) % 0.37/0.80 (define @t95 () (and @t86 @t91)) % 0.37/0.80 (define @t96 () (lambda @t82 (forall @t93 (=> @t95 @t92)))) % 0.37/0.80 (define @t97 () (= @t84 @t90)) % 0.37/0.80 (define @t98 () (lambda @t82 (forall @t93 (=> @t95 @t97)))) % 0.37/0.80 (define @t99 () (@list @t90)) % 0.37/0.80 (define @t100 () (lambda @t82 (forall @t81 (exists @t88 (and @t86 (forall @t99 (=> @t91 @t97))))))) % 0.37/0.80 (define @t101 () (_ @t69 @t90)) % 0.37/0.80 (define @t102 () (_ @t101 @t84)) % 0.37/0.80 (define @t103 () (lambda @t82 (forall @t93 (=> @t86 (exists @t99 (and @t91 @t102)))))) % 0.37/0.80 (define @t104 () (lambda @t82 (forall @t93 (=> @t95 (or @t92 @t97 @t102))))) % 0.37/0.80 (define @t105 () (lambda @t82 (forall @t93 (=> @t95 (exists @t73 (and (_ @t85 @t67) (_ @t101 @t67))))))) % 0.37/0.80 (define @t106 () (forall @t65 @t36)) % 0.37/0.80 (define @t107 () (@list @t35)) % 0.37/0.80 (define @t108 () (lambda @t107 @t106)) % 0.37/0.80 (define @t109 () (lambda @t107 (forall @t65 @t37))) % 0.37/0.80 (define @t110 () (lambda @t107 (exists @t65 @t36))) % 0.37/0.80 (define @t111 () (lambda @t107 (exists @t65 @t37))) % 0.37/0.80 (define @t112 () (@var "Y" $$unsorted)) % 0.37/0.80 (define @t113 () (@var "X" $$unsorted)) % 0.37/0.80 (define @t114 () (@var "R2" (-> $$unsorted $$unsorted Bool))) % 0.37/0.80 (define @t115 () (@var "R1" (-> $$unsorted $$unsorted Bool))) % 0.37/0.80 (define @t116 () (@list @t115 @t114)) % 0.37/0.80 (define @t117 () (lambda @t116 (forall (@list @t113 @t112) (=> (_ (_ @t115 @t113) @t112) (_ (_ @t114 @t113) @t112))))) % 0.37/0.80 (define @t118 () (lambda @t116 (forall (@list @t90 @t67 @t30) (=> (and (_ (_ @t115 @t90) @t67) (_ (_ @t114 @t67) @t30)) (_ (_ @t114 @t90) @t30))))) % 0.37/0.80 (define @t119 () (tptp.possibly_likes tptp.jan tptp.cola @t30)) % 0.37/0.80 (define @t120 () (_ @t28 @t30)) % 0.37/0.80 (define @t121 () (_ @t28 @t30)) % 0.37/0.80 (define @t122 () (forall @t65 @t121)) % 0.37/0.80 (define @t123 () (_ @t35 @t30)) % 0.37/0.80 (define @t124 () (lambda @t107 (forall @t65 @t123))) % 0.37/0.80 (define @t125 () (_ @t124 @t28)) % 0.37/0.80 (define @t126 () (tptp.likes tptp.piotr tptp.beer @t67)) % 0.37/0.80 (define @t127 () (not @t126)) % 0.37/0.80 (define @t128 () (not (tptp.a1 @t30 @t67))) % 0.37/0.80 (define @t129 () (not (tptp.a1 @t6 @t67))) % 0.37/0.80 (define @t130 () (@list @t6)) % 0.37/0.80 (define @t131 () (lambda @t130 (not (forall @t73 (or @t129 @t127))))) % 0.37/0.80 (define @t132 () (_ @t131 @t30)) % 0.37/0.80 (define @t133 () (forall @t65 @t132)) % 0.37/0.80 (define @t134 () (_ @t14 @t67)) % 0.37/0.80 (define @t135 () (not @t134)) % 0.37/0.80 (define @t136 () (or @t129 @t135)) % 0.37/0.80 (define @t137 () (_ @t14 @t67)) % 0.37/0.80 (define @t138 () (not @t137)) % 0.37/0.80 (define @t139 () (or @t129 @t138)) % 0.37/0.80 (define @t140 () (forall @t73 @t139)) % 0.37/0.80 (define @t141 () (not @t140)) % 0.37/0.80 (define @t142 () (lambda @t130 @t141)) % 0.37/0.80 (define @t143 () (_ @t35 @t67)) % 0.37/0.80 (define @t144 () (not @t143)) % 0.37/0.80 (define @t145 () (lambda (@list @t35 @t6) (not (forall @t73 (or @t129 @t144))))) % 0.37/0.80 (define @t146 () (not (forall @t73 (or (not (_ @t69 @t6 @t67)) @t144)))) % 0.37/0.80 (define @t147 () (_ (lambda @t77 @t146) tptp.a1)) % 0.37/0.80 (define @t148 () (_ @t69 @t30 @t67)) % 0.37/0.80 (define @t149 () (not @t148)) % 0.37/0.80 (define @t150 () (forall @t73 (or @t149 @t144))) % 0.37/0.80 (define @t151 () (lambda @t65 @t150)) % 0.37/0.80 (define @t152 () (_ @t151 @t30)) % 0.37/0.80 (define @t153 () (not @t152)) % 0.37/0.80 (define @t154 () (lambda @t65 @t153)) % 0.37/0.80 (define @t155 () (not @t68)) % 0.37/0.80 (define @t156 () (or @t149 @t155)) % 0.37/0.80 (define @t157 () (lambda @t65 @t37)) % 0.37/0.80 (define @t158 () (_ @t157 @t67)) % 0.37/0.80 (define @t159 () (or @t149 @t158)) % 0.37/0.80 (define @t160 () (forall @t73 @t159)) % 0.37/0.80 (define @t161 () (lambda @t65 @t160)) % 0.37/0.80 (define @t162 () (forall @t73 (or @t149 @t143))) % 0.37/0.80 (define @t163 () (lambda @t38 @t162)) % 0.37/0.80 (define @t164 () (lambda @t75 @t162)) % 0.37/0.80 (define @t165 () (@quantifiers_skolemize (forall @t65 @t119) 0)) % 0.37/0.80 (define @t166 () (@quantifiers_skolemize (forall @t73 (or (not (tptp.a1 @t165 @t67)) @t127)) 0)) % 0.37/0.80 (define @t167 () (tptp.a1 @t165 @t166)) % 0.37/0.80 (define @t168 () (not @t167)) % 0.37/0.80 (define @t169 () (or @t168 (not (tptp.likes tptp.piotr tptp.beer @t166)))) % 0.37/0.80 (define @t170 () (@var "BOUND_VARIABLE_9482" $$unsorted)) % 0.37/0.80 (define @t171 () (@var "BOUND_VARIABLE_9460" tptp.mu)) % 0.37/0.80 (define @t172 () (not (tptp.likes @t7 @t171 @t170))) % 0.37/0.80 (define @t173 () (not (tptp.a1 @t30 @t170))) % 0.37/0.80 (define @t174 () (tptp.possibly_likes @t7 @t171 @t30)) % 0.37/0.80 (define @t175 () (or @t174 @t173 @t172)) % 0.37/0.80 (define @t176 () (forall (@list @t7 @t171 @t170) @t175)) % 0.37/0.80 (define @t177 () (lambda @t65 @t176)) % 0.37/0.80 (define @t178 () (_ @t177 @t30)) % 0.37/0.80 (define @t179 () (forall @t65 @t178)) % 0.37/0.80 (define @t180 () (@list @t171 @t170)) % 0.37/0.80 (define @t181 () (forall @t180 @t175)) % 0.37/0.80 (define @t182 () (forall @t180 (or (tptp.possibly_likes @t7 @t171 @t6) (not (tptp.a1 @t6 @t170)) @t172))) % 0.37/0.80 (define @t183 () (lambda @t12 @t182)) % 0.37/0.80 (define @t184 () (_ @t183 @t7 @t30)) % 0.37/0.80 (define @t185 () (forall @t55 @t184)) % 0.37/0.80 (define @t186 () (lambda @t65 @t185)) % 0.37/0.80 (define @t187 () (_ @t52 @t7 @t30)) % 0.37/0.80 (define @t188 () (forall @t55 @t187)) % 0.37/0.80 (define @t189 () (lambda @t57 @t188)) % 0.37/0.80 (define @t190 () (or @t173 @t172)) % 0.37/0.80 (define @t191 () (or @t190 @t174)) % 0.37/0.80 (define @t192 () (forall @t180 @t191)) % 0.37/0.80 (define @t193 () (@list @t170)) % 0.37/0.80 (define @t194 () (forall @t193 @t191)) % 0.37/0.80 (define @t195 () (@list @t171)) % 0.37/0.80 (define @t196 () (forall @t193 @t190)) % 0.37/0.80 (define @t197 () (or @t196 @t174)) % 0.37/0.80 (define @t198 () (forall @t73 (or @t128 (not (tptp.likes @t7 @t171 @t67))))) % 0.37/0.80 (define @t199 () (_ (_ @t21 @t171) @t30)) % 0.37/0.80 (define @t200 () (or @t198 @t199)) % 0.37/0.80 (define @t201 () (tptp.likes @t7 @t17 @t67)) % 0.37/0.80 (define @t202 () (forall @t73 (or @t129 (not @t201)))) % 0.37/0.80 (define @t203 () (or @t202 (_ @t22 @t6))) % 0.37/0.80 (define @t204 () (lambda @t20 @t203)) % 0.37/0.80 (define @t205 () (_ @t204 @t171 @t30)) % 0.37/0.80 (define @t206 () (forall @t195 @t205)) % 0.37/0.80 (define @t207 () (lambda @t65 @t206)) % 0.37/0.80 (define @t208 () (lambda @t130 @t203)) % 0.37/0.80 (define @t209 () (_ @t40 @t6)) % 0.37/0.80 (define @t210 () (@list @t40 @t6)) % 0.37/0.80 (define @t211 () (not @t202)) % 0.37/0.80 (define @t212 () (lambda @t130 @t211)) % 0.37/0.80 (define @t213 () (_ @t212 @t6)) % 0.37/0.80 (define @t214 () (not @t213)) % 0.37/0.80 (define @t215 () (or @t214 @t209)) % 0.37/0.80 (define @t216 () (lambda @t210 @t215)) % 0.37/0.80 (define @t217 () (or (not (_ @t35 @t6)) @t209)) % 0.37/0.80 (define @t218 () (lambda @t46 @t217)) % 0.37/0.80 (define @t219 () (_ @t19 @t67)) % 0.37/0.80 (define @t220 () (not @t219)) % 0.37/0.80 (define @t221 () (or @t129 @t220)) % 0.37/0.80 (define @t222 () (_ @t19 @t67)) % 0.37/0.80 (define @t223 () (not @t222)) % 0.37/0.80 (define @t224 () (or @t129 @t223)) % 0.37/0.80 (define @t225 () (forall @t73 @t224)) % 0.37/0.80 (define @t226 () (not @t225)) % 0.37/0.80 (define @t227 () (lambda @t130 @t226)) % 0.37/0.80 (define @t228 () (lambda @t20 (_ (_ (_ @t218 (_ @t147 @t19)) @t22) @t6))) % 0.37/0.80 (define @t229 () (or @t37 @t41)) % 0.37/0.80 (define @t230 () (lambda @t65 @t229)) % 0.37/0.80 (define @t231 () (@list @t40 @t30)) % 0.37/0.80 (define @t232 () (_ @t157 @t30)) % 0.37/0.80 (define @t233 () (or @t232 @t41)) % 0.37/0.80 (define @t234 () (lambda @t231 @t233)) % 0.37/0.80 (define @t235 () (tptp.likes tptp.jan tptp.cola @t67)) % 0.37/0.80 (define @t236 () (or @t128 @t235)) % 0.37/0.80 (define @t237 () (forall @t73 @t236)) % 0.37/0.80 (define @t238 () (lambda @t65 @t237)) % 0.37/0.80 (define @t239 () (_ @t238 @t30)) % 0.37/0.80 (define @t240 () (forall @t65 @t239)) % 0.37/0.80 (define @t241 () (_ @t2 @t67)) % 0.37/0.80 (define @t242 () (or @t128 @t241)) % 0.37/0.80 (define @t243 () (_ @t2 @t67)) % 0.37/0.80 (define @t244 () (or @t128 @t243)) % 0.37/0.80 (define @t245 () (forall @t73 @t244)) % 0.37/0.80 (define @t246 () (lambda @t65 @t245)) % 0.37/0.80 (define @t247 () (lambda @t38 (forall @t73 (or @t128 @t143)))) % 0.37/0.80 (define @t248 () (tptp.likes tptp.jan tptp.cola @t166)) % 0.37/0.80 (define @t249 () (or @t168 @t248)) % 0.37/0.80 (define @t250 () (not @t248)) % 0.37/0.80 (define @t251 () (tptp.possibly_likes tptp.jan tptp.cola @t165)) % 0.37/0.80 (define @t252 () (or @t251 @t168 @t250)) % 0.37/0.80 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.37/0.80 (assume @p2 (_ tptp.mvalid (_ @t3 @t2))) % 0.37/0.80 (assume @p3 (_ tptp.mvalid (_ @t3 @t5))) % 0.37/0.80 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t10)) @t9)) @t6))))) % 0.37/0.80 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t9)) @t10)) @t6))))) % 0.37/0.80 (assume @p6 (_ tptp.mvalid (_ @t13 (_ @t1 tptp.pepsi)))) % 0.37/0.80 (assume @p7 (_ tptp.mvalid (_ @t3 (_ @t4 tptp.cola)))) % 0.37/0.80 (assume @p8 (_ tptp.mvalid (_ @t3 @t14))) % 0.37/0.80 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t13 (_ (_ tptp.mimplies @t10) @t9)) @t6))))) % 0.37/0.80 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t13 (_ (_ tptp.mimplies @t9) @t10)) @t6))))) % 0.37/0.80 (assume @p11 (_ tptp.mvalid (_ @t15 @t2))) % 0.37/0.80 (assume @p12 (_ tptp.mvalid (_ @t16 @t5))) % 0.37/0.80 (assume @p13 (_ tptp.mvalid (_ @t11 @t14))) % 0.37/0.80 (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))))) % 0.37/0.80 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t15 @t18)) @t18) @t6))) @t6))))) % 0.37/0.80 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t16 @t18)) @t19) @t6))) @t6))))) % 0.37/0.80 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind @t24))) % 0.37/0.80 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ (_ tptp.mdia tptp.a2) @t19)) @t22) @t6))) @t6))))) % 0.37/0.80 (assume @p19 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t16 @t19)) @t22) @t6))) @t6))))) % 0.37/0.80 (assume @p20 (_ tptp.msymmetric tptp.a1)) % 0.37/0.80 (assume @p21 (_ tptp.msymmetric tptp.a2)) % 0.37/0.80 (assume @p22 (_ tptp.msymmetric tptp.a3)) % 0.37/0.80 (assume @p23 (_ tptp.mserial tptp.a1)) % 0.37/0.80 (assume @p24 (_ tptp.mserial tptp.a2)) % 0.37/0.80 (assume @p25 (_ tptp.mserial tptp.a3)) % 0.37/0.80 (assume @p26 (_ @t25 tptp.a2)) % 0.37/0.80 (assume @p27 (_ @t25 tptp.a3)) % 0.37/0.80 (assume @p28 (_ (_ tptp.subrel tptp.a2) tptp.a3)) % 0.37/0.80 (assume @p29 (_ @t26 tptp.a1)) % 0.37/0.80 (assume @p30 (_ @t26 tptp.a2)) % 0.37/0.80 (assume @p31 (_ @t26 tptp.a3)) % 0.37/0.80 (assume @p32 (_ @t27 tptp.a1)) % 0.37/0.80 (assume @p33 (_ @t27 tptp.a2)) % 0.37/0.80 (assume @p34 (_ @t27 tptp.a3)) % 0.37/0.80 (assume @p35 (_ (_ tptp.cond4s tptp.a3) tptp.a3)) % 0.37/0.80 (assume @p36 (_ tptp.meuclidean tptp.a1)) % 0.37/0.80 (assume @p37 (_ tptp.meuclidean tptp.a2)) % 0.37/0.80 (assume @p38 (_ tptp.meuclidean tptp.a3)) % 0.37/0.80 (assume @p39 @t29) % 0.37/0.80 (assume @p40 true) % 0.37/0.80 (step @p41 (= tptp.meq_ind @t31) :rule refl :args (@t31)) % 0.37/0.80 (step @p42 (= tptp.meq_prop @t34) :rule refl :args (@t34)) % 0.37/0.80 (step @p43 (= tptp.mnot @t39) :rule refl :args (@t39)) % 0.37/0.80 (step @p44 (= tptp.mor @t42) :rule refl :args (@t42)) % 0.37/0.80 (step @p45 (= tptp.mand @t47) :rule refl :args (@t47)) % 0.37/0.80 (step @p46 (= tptp.mimplies @t48) :rule refl :args (@t48)) % 0.37/0.80 (step @p47 (= tptp.mimplied @t49) :rule refl :args (@t49)) % 0.37/0.80 (step @p48 (= tptp.mequiv @t50) :rule refl :args (@t50)) % 0.37/0.80 (step @p49 (= tptp.mxor @t51) :rule refl :args (@t51)) % 0.37/0.80 (step @p50 (= tptp.mforall_ind @t58) :rule refl :args (@t58)) % 0.37/0.80 (step @p51 (= tptp.mforall_prop @t62) :rule refl :args (@t62)) % 0.37/0.80 (step @p52 (= tptp.mexists_ind @t63) :rule refl :args (@t63)) % 0.37/0.80 (step @p53 (= tptp.mexists_prop @t64) :rule refl :args (@t64)) % 0.37/0.80 (step @p54 (= tptp.mtrue @t66) :rule refl :args (@t66)) % 0.37/0.80 (step @p55 (= tptp.mbox @t76) :rule refl :args (@t76)) % 0.37/0.80 (step @p56 (= tptp.mdia @t78) :rule refl :args (@t78)) % 0.37/0.80 (step @p57 (= tptp.mreflexive @t83) :rule refl :args (@t83)) % 0.37/0.80 (step @p58 (= tptp.msymmetric @t87) :rule refl :args (@t87)) % 0.37/0.80 (step @p59 (= tptp.mserial @t89) :rule refl :args (@t89)) % 0.37/0.80 (step @p60 (= tptp.mtransitive @t94) :rule refl :args (@t94)) % 0.37/0.80 (step @p61 (= tptp.meuclidean @t96) :rule refl :args (@t96)) % 0.37/0.80 (step @p62 (= tptp.mpartially_functional @t98) :rule refl :args (@t98)) % 0.37/0.80 (step @p63 (= tptp.mfunctional @t100) :rule refl :args (@t100)) % 0.37/0.80 (step @p64 (= tptp.mweakly_dense @t103) :rule refl :args (@t103)) % 0.37/0.80 (step @p65 (= tptp.mweakly_connected @t104) :rule refl :args (@t104)) % 0.37/0.80 (step @p66 (= tptp.mweakly_directed @t105) :rule refl :args (@t105)) % 0.37/0.80 (step @p67 (= tptp.mvalid @t108) :rule refl :args (@t108)) % 0.37/0.80 (step @p68 (= tptp.minvalid @t109) :rule refl :args (@t109)) % 0.37/0.80 (step @p69 (= tptp.msatisfiable @t110) :rule refl :args (@t110)) % 0.37/0.80 (step @p70 (= tptp.mcountersatisfiable @t111) :rule refl :args (@t111)) % 0.37/0.80 (step @p71 (= tptp.subrel @t117) :rule refl :args (@t117)) % 0.37/0.80 (step @p72 (= tptp.cond4s @t118) :rule refl :args (@t118)) % 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:premises (@p315 @p293)) % 0.37/0.80 (step @p317 :rule ho_cong :premises (@p316 @p245)) % 0.37/0.80 (step @p318 :rule ho_cong :premises (@p317 @p131)) % 0.37/0.80 (step @p319 :rule cong :premises (@p318) :args (@t23)) % 0.37/0.80 (step @p320 :rule refl :args (@t187)) % 0.37/0.80 (step @p321 :rule refl :args (@t54)) % 0.37/0.80 (step @p322 :rule cong :premises (@p321 @p320) :args ((= @t54 @t187))) % 0.37/0.80 (step @p323 :rule symm :premises (@p322)) % 0.37/0.80 (step @p324 :rule eq_resolve :premises (@p321 @p323)) % 0.37/0.80 (step @p325 :rule cong :premises (@p324) :args (@t56)) % 0.37/0.80 (step @p326 :rule cong :premises (@p325) :args (@t58)) % 0.37/0.80 (step @p327 :rule trans :premises (@p50 @p326)) % 0.37/0.80 (step @p328 :rule ho_cong :premises (@p327 @p319)) % 0.37/0.80 (step @p329 :rule ho_cong :premises (@p328 @p131)) % 0.37/0.80 (step @p330 :rule cong :premises (@p329) :args (@t24)) % 0.37/0.80 (step @p331 :rule ho_cong :premises (@p327 @p330)) % 0.37/0.80 (step @p332 :rule ho_cong :premises (@p93 @p331)) % 0.37/0.80 (step @p333 :rule trans :premises (@p332 @p292)) % 0.37/0.80 (step @p334 :rule eq_resolve :premises (@p17 @p333)) % 0.37/0.80 (step @p335 :rule instantiate :premises (@p334) :args ((@list @t165 tptp.jan tptp.cola @t166))) % 0.37/0.80 (step @p336 :rule quant-merge-prenex :args ((= (forall @t65 @t237) (forall (@list @t30 @t67) @t236)))) % 0.37/0.80 (step @p337 :rule beta-reduce :args ((= @t239 @t237))) % 0.37/0.80 (step @p338 :rule cong :premises (@p337) :args (@t240)) % 0.37/0.80 (step @p339 :rule trans :premises (@p338 @p336)) % 0.37/0.80 (step @p340 :rule beta-reduce :args ((= (_ @t124 @t238) @t240))) % 0.37/0.80 (step @p341 :rule trans :premises (@p340 @p339)) % 0.37/0.80 (step @p342 :rule refl :args (@t235)) % 0.37/0.80 (step @p343 :rule refl :args (@t241)) % 0.37/0.80 (step @p344 :rule cong :premises (@p343 @p342) :args ((= @t241 @t235))) % 0.37/0.80 (step @p345 :rule symm :premises (@p344)) % 0.37/0.80 (step @p346 :rule eq_resolve :premises (@p343 @p345)) % 0.37/0.80 (step @p347 :rule refl :args (@t128)) % 0.37/0.80 (step @p348 :rule nary_cong :premises (@p347 @p346) :args (@t242)) % 0.37/0.80 (step @p349 :rule cong :premises (@p348) :args ((forall @t73 @t242))) % 0.37/0.80 (step @p350 :rule refl :args (@t243)) % 0.37/0.80 (step @p351 :rule refl :args (@t128)) % 0.37/0.80 (step @p352 :rule nary_cong :premises (@p351 @p350) :args (@t244)) % 0.37/0.80 (step @p353 :rule cong :premises (@p352) :args (@t245)) % 0.37/0.81 (step @p354 :rule trans :premises (@p353 @p349)) % 0.37/0.81 (step @p355 :rule cong :premises (@p354) :args (@t246)) % 0.37/0.81 (step @p356 :rule beta-reduce :args ((= (_ @t247 @t2) @t246))) % 0.37/0.81 (step @p357 :rule trans :premises (@p356 @p355)) % 0.37/0.81 (step @p358 :rule refl :args (@t2)) % 0.37/0.81 (step @p359 :rule beta-reduce :args ((= (_ @t164 tptp.a1) @t247))) % 0.37/0.81 (step @p360 :rule ho_cong :premises (@p359 @p358)) % 0.37/0.81 (step @p361 :rule trans :premises (@p360 @p357)) % 0.37/0.81 (step @p362 :rule ho_cong :premises (@p126 @p361)) % 0.37/0.81 (step @p363 :rule trans :premises (@p362 @p341)) % 0.37/0.81 (step @p364 :rule ho_cong :premises (@p175 @p129)) % 0.37/0.81 (step @p365 :rule ho_cong :premises (@p364 @p358)) % 0.37/0.81 (step @p366 :rule ho_cong :premises (@p93 @p365)) % 0.37/0.81 (step @p367 :rule trans :premises (@p366 @p363)) % 0.37/0.81 (step @p368 :rule eq_resolve :premises (@p2 @p367)) % 0.37/0.81 (step @p369 :rule instantiate :premises (@p368) :args ((@list @t165 @t166))) % 0.37/0.81 (step @p370 :rule cnf_or_pos :args (@t249)) % 0.37/0.81 (step @p371 :rule reordering :premises (@p370) :args ((or @t168 @t248 (not @t249)))) % 0.37/0.81 (step @p372 :rule chain_m_resolution :premises (@p371 @p196 @p369) :args (@t248 (@list false false) (@list @t167 @t249))) % 0.37/0.81 (step @p373 :rule cnf_or_pos :args (@t252)) % 0.37/0.81 (step @p374 :rule reordering :premises (@p373) :args ((or @t251 @t168 @t250 (not @t252)))) % 0.37/0.81 (step @p375 false :rule chain_m_resolution :premises (@p374 @p372 @p335 @p196 @p98) :args (false (@list false false false true) (@list @t248 @t252 @t167 @t251))) % 0.37/0.81 ) % 0.37/0.81 % SZS output end Proof % 0.37/0.81 % cvc5 exiting %------------------------------------------------------------------------------