%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : AGT040^1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : 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 08:04:49 AM UTC 2026 % Result : Theorem 0.53s 0.79s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : AGT040^1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n014.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 01:35:43 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.51 %----Proving TH0 % 0.53/0.79 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.53/0.79 % SZS status Theorem % 0.53/0.79 % SZS output start Proof % 0.53/0.79 ( % 0.53/0.79 (declare-sort $$unsorted 0) % 0.53/0.79 (declare-sort tptp.mu 0) % 0.53/0.79 (declare-const tptp.possibly_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.53/0.79 (declare-const tptp.very_much_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.53/0.79 (declare-const tptp.beer tptp.mu) % 0.53/0.79 (declare-const tptp.cola tptp.mu) % 0.53/0.79 (declare-const tptp.jan tptp.mu) % 0.53/0.79 (declare-const tptp.likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.53/0.79 (declare-const tptp.a1 (-> $$unsorted $$unsorted Bool)) % 0.53/0.79 (declare-const tptp.pepsi tptp.mu) % 0.53/0.79 (declare-const tptp.piotr tptp.mu) % 0.53/0.79 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.53/0.79 (declare-const tptp.a2 (-> $$unsorted $$unsorted Bool)) % 0.53/0.79 (declare-const tptp.a3 (-> $$unsorted $$unsorted Bool)) % 0.53/0.79 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.53/0.79 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.53/0.79 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.53/0.79 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.53/0.79 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.53/0.79 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.53/0.79 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.53/0.79 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.53/0.79 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.53/0.79 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.53/0.79 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.53/0.79 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.53/0.79 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.53/0.79 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.53/0.79 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.53/0.79 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.53/0.79 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.53/0.79 (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)))))))) % 0.53/0.79 (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)))))))) % 0.53/0.79 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.53/0.79 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.53/0.79 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.53/0.79 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.53/0.79 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.53/0.79 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.53/0.79 (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))))))))))))) % 0.53/0.79 (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)))))) % 0.53/0.79 (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))))))) % 0.53/0.79 (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)))))) % 0.53/0.79 (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))))))) % 0.53/0.79 (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))))))))) % 0.53/0.79 (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 $$unsorted Bool)))) (lambda (@list _let_5 _let_3) (forall (@list _let_2 _let_4 _let_1) (=> (and (_ (_ _let_5 _let_2) _let_4) (_ (_ _let_3 _let_4) _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.53/0.79 (define @t1 () (_ tptp.likes tptp.jan)) % 0.53/0.79 (define @t2 () (_ @t1 tptp.cola)) % 0.53/0.79 (define @t3 () (_ tptp.mbox tptp.a1)) % 0.53/0.79 (define @t4 () (_ tptp.likes tptp.piotr)) % 0.53/0.79 (define @t5 () (_ @t4 tptp.pepsi)) % 0.53/0.79 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 0.53/0.79 (define @t7 () (@var "X" tptp.mu)) % 0.53/0.79 (define @t8 () (_ tptp.likes @t7)) % 0.53/0.79 (define @t9 () (_ @t8 tptp.cola)) % 0.53/0.79 (define @t10 () (_ @t8 tptp.pepsi)) % 0.53/0.79 (define @t11 () (_ tptp.mdia tptp.a1)) % 0.53/0.79 (define @t12 () (@list @t7 @t6)) % 0.53/0.79 (define @t13 () (_ tptp.mbox tptp.a2)) % 0.53/0.79 (define @t14 () (_ @t4 tptp.cola)) % 0.53/0.79 (define @t15 () (_ @t4 tptp.beer)) % 0.53/0.79 (define @t16 () (_ tptp.mbox tptp.a3)) % 0.53/0.79 (define @t17 () (_ tptp.mdia tptp.a3)) % 0.53/0.79 (define @t18 () (@var "Y" tptp.mu)) % 0.53/0.79 (define @t19 () (_ (_ tptp.very_much_likes @t7) @t18)) % 0.53/0.79 (define @t20 () (_ @t8 @t18)) % 0.53/0.79 (define @t21 () (@list @t18 @t6)) % 0.53/0.79 (define @t22 () (_ tptp.possibly_likes @t7)) % 0.53/0.79 (define @t23 () (_ @t22 @t18)) % 0.53/0.79 (define @t24 () (lambda @t21 (_ (_ (_ tptp.mimplies (_ @t11 @t20)) @t23) @t6))) % 0.53/0.79 (define @t25 () (lambda @t12 (_ (_ tptp.mforall_ind @t24) @t6))) % 0.53/0.79 (define @t26 () (_ tptp.subrel tptp.a1)) % 0.53/0.79 (define @t27 () (_ tptp.cond4s tptp.a1)) % 0.53/0.79 (define @t28 () (_ tptp.cond4s tptp.a2)) % 0.53/0.79 (define @t29 () (_ (_ tptp.possibly_likes tptp.piotr) tptp.cola)) % 0.53/0.79 (define @t30 () (not (_ tptp.mvalid @t29))) % 0.53/0.79 (define @t31 () (@var "W" $$unsorted)) % 0.53/0.79 (define @t32 () (lambda (@list @t7 @t18 @t31) (= @t7 @t18))) % 0.53/0.79 (define @t33 () (@var "Y" (-> $$unsorted Bool))) % 0.53/0.79 (define @t34 () (@var "X" (-> $$unsorted Bool))) % 0.53/0.79 (define @t35 () (lambda (@list @t34 @t33 @t31) (= (_ @t34 @t31) (_ @t33 @t31)))) % 0.53/0.79 (define @t36 () (@var "Phi" (-> $$unsorted Bool))) % 0.53/0.79 (define @t37 () (_ @t36 @t31)) % 0.53/0.79 (define @t38 () (not @t37)) % 0.53/0.79 (define @t39 () (@list @t36 @t31)) % 0.53/0.79 (define @t40 () (lambda @t39 @t38)) % 0.53/0.79 (define @t41 () (@var "Psi" (-> $$unsorted Bool))) % 0.53/0.79 (define @t42 () (_ @t41 @t31)) % 0.53/0.79 (define @t43 () (lambda (@list @t36 @t41 @t31) (or @t37 @t42))) % 0.53/0.79 (define @t44 () (_ tptp.mnot @t41)) % 0.53/0.79 (define @t45 () (_ tptp.mnot @t36)) % 0.53/0.79 (define @t46 () (_ tptp.mor @t45)) % 0.53/0.79 (define @t47 () (@list @t36 @t41 @t6)) % 0.53/0.79 (define @t48 () (lambda @t47 (_ (_ tptp.mnot (_ @t46 @t44)) @t6))) % 0.53/0.79 (define @t49 () (lambda @t47 (_ (_ @t46 @t41) @t6))) % 0.53/0.79 (define @t50 () (lambda @t47 (_ (_ (_ tptp.mor @t44) @t36) @t6))) % 0.53/0.79 (define @t51 () (lambda @t47 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t36) @t41)) (_ (_ tptp.mimplies @t41) @t36)) @t6))) % 0.53/0.79 (define @t52 () (lambda @t47 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t36) @t41)) @t6))) % 0.53/0.79 (define @t53 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.53/0.79 (define @t54 () (_ @t53 @t7)) % 0.53/0.79 (define @t55 () (_ @t54 @t31)) % 0.53/0.79 (define @t56 () (@list @t7)) % 0.53/0.79 (define @t57 () (forall @t56 @t55)) % 0.53/0.79 (define @t58 () (@list @t53 @t31)) % 0.53/0.79 (define @t59 () (lambda @t58 @t57)) % 0.53/0.79 (define @t60 () (@var "P" (-> $$unsorted Bool))) % 0.53/0.79 (define @t61 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.53/0.79 (define @t62 () (_ @t61 @t60)) % 0.53/0.79 (define @t63 () (lambda (@list @t61 @t31) (forall (@list @t60) (_ @t62 @t31)))) % 0.53/0.79 (define @t64 () (lambda (@list @t53 @t6) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mnot @t54) @t6)))) @t6))) % 0.53/0.79 (define @t65 () (lambda (@list @t61 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t60 @t6) (_ (_ tptp.mnot @t62) @t6)))) @t6))) % 0.53/0.79 (define @t66 () (@list @t31)) % 0.53/0.79 (define @t67 () (lambda @t66 true)) % 0.53/0.79 (define @t68 () (@var "V" $$unsorted)) % 0.53/0.79 (define @t69 () (_ @t36 @t68)) % 0.53/0.79 (define @t70 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.53/0.79 (define @t71 () (_ (_ @t70 @t31) @t68)) % 0.53/0.79 (define @t72 () (not @t71)) % 0.53/0.79 (define @t73 () (or @t72 @t69)) % 0.53/0.79 (define @t74 () (@list @t68)) % 0.53/0.79 (define @t75 () (forall @t74 @t73)) % 0.53/0.79 (define @t76 () (@list @t70 @t36 @t31)) % 0.53/0.79 (define @t77 () (lambda @t76 @t75)) % 0.53/0.79 (define @t78 () (@list @t70 @t36 @t6)) % 0.53/0.79 (define @t79 () (lambda @t78 (_ (_ tptp.mnot (_ (_ tptp.mbox @t70) @t45)) @t6))) % 0.53/0.79 (define @t80 () (@var "S" $$unsorted)) % 0.53/0.79 (define @t81 () (_ @t70 @t80)) % 0.53/0.79 (define @t82 () (@list @t80)) % 0.53/0.79 (define @t83 () (@list @t70)) % 0.53/0.79 (define @t84 () (lambda @t83 (forall @t82 (_ @t81 @t80)))) % 0.53/0.79 (define @t85 () (@var "T" $$unsorted)) % 0.53/0.79 (define @t86 () (_ @t70 @t85)) % 0.53/0.79 (define @t87 () (_ @t81 @t85)) % 0.53/0.79 (define @t88 () (lambda @t83 (forall (@list @t80 @t85) (=> @t87 (_ @t86 @t80))))) % 0.53/0.79 (define @t89 () (@list @t85)) % 0.53/0.79 (define @t90 () (lambda @t83 (forall @t82 (exists @t89 @t87)))) % 0.53/0.79 (define @t91 () (@var "U" $$unsorted)) % 0.53/0.79 (define @t92 () (_ @t81 @t91)) % 0.53/0.79 (define @t93 () (_ @t86 @t91)) % 0.53/0.79 (define @t94 () (@list @t80 @t85 @t91)) % 0.53/0.79 (define @t95 () (lambda @t83 (forall @t94 (=> (and @t87 @t93) @t92)))) % 0.53/0.79 (define @t96 () (and @t87 @t92)) % 0.53/0.79 (define @t97 () (lambda @t83 (forall @t94 (=> @t96 @t93)))) % 0.53/0.79 (define @t98 () (= @t85 @t91)) % 0.53/0.79 (define @t99 () (lambda @t83 (forall @t94 (=> @t96 @t98)))) % 0.53/0.79 (define @t100 () (@list @t91)) % 0.53/0.79 (define @t101 () (lambda @t83 (forall @t82 (exists @t89 (and @t87 (forall @t100 (=> @t92 @t98))))))) % 0.53/0.79 (define @t102 () (_ @t70 @t91)) % 0.53/0.79 (define @t103 () (_ @t102 @t85)) % 0.53/0.79 (define @t104 () (lambda @t83 (forall @t94 (=> @t87 (exists @t100 (and @t92 @t103)))))) % 0.53/0.79 (define @t105 () (lambda @t83 (forall @t94 (=> @t96 (or @t93 @t98 @t103))))) % 0.53/0.79 (define @t106 () (lambda @t83 (forall @t94 (=> @t96 (exists @t74 (and (_ @t86 @t68) (_ @t102 @t68))))))) % 0.53/0.79 (define @t107 () (forall @t66 @t37)) % 0.53/0.79 (define @t108 () (@list @t36)) % 0.53/0.79 (define @t109 () (lambda @t108 @t107)) % 0.53/0.79 (define @t110 () (lambda @t108 (forall @t66 @t38))) % 0.53/0.79 (define @t111 () (lambda @t108 (exists @t66 @t37))) % 0.53/0.79 (define @t112 () (lambda @t108 (exists @t66 @t38))) % 0.53/0.79 (define @t113 () (@var "Y" $$unsorted)) % 0.53/0.79 (define @t114 () (@var "X" $$unsorted)) % 0.53/0.79 (define @t115 () (@var "R2" (-> $$unsorted $$unsorted Bool))) % 0.53/0.79 (define @t116 () (@var "R1" (-> $$unsorted $$unsorted Bool))) % 0.53/0.79 (define @t117 () (@list @t116 @t115)) % 0.53/0.79 (define @t118 () (lambda @t117 (forall (@list @t114 @t113) (=> (_ (_ @t116 @t114) @t113) (_ (_ @t115 @t114) @t113))))) % 0.53/0.79 (define @t119 () (lambda @t117 (forall (@list @t91 @t68 @t31) (=> (and (_ (_ @t116 @t91) @t68) (_ (_ @t115 @t68) @t31)) (_ (_ @t115 @t91) @t31))))) % 0.53/0.79 (define @t120 () (tptp.possibly_likes tptp.piotr tptp.cola @t31)) % 0.53/0.79 (define @t121 () (_ @t29 @t31)) % 0.53/0.79 (define @t122 () (_ @t29 @t31)) % 0.53/0.79 (define @t123 () (forall @t66 @t122)) % 0.53/0.79 (define @t124 () (_ @t36 @t31)) % 0.53/0.79 (define @t125 () (lambda @t108 (forall @t66 @t124))) % 0.53/0.79 (define @t126 () (_ @t125 @t29)) % 0.53/0.79 (define @t127 () (tptp.likes tptp.piotr tptp.beer @t68)) % 0.53/0.79 (define @t128 () (not @t127)) % 0.53/0.79 (define @t129 () (not (tptp.a1 @t31 @t68))) % 0.53/0.79 (define @t130 () (not (tptp.a1 @t6 @t68))) % 0.53/0.80 (define @t131 () (@list @t6)) % 0.53/0.80 (define @t132 () (lambda @t131 (not (forall @t74 (or @t130 @t128))))) % 0.53/0.80 (define @t133 () (_ @t132 @t31)) % 0.53/0.80 (define @t134 () (forall @t66 @t133)) % 0.53/0.80 (define @t135 () (_ @t15 @t68)) % 0.53/0.80 (define @t136 () (not @t135)) % 0.53/0.80 (define @t137 () (or @t130 @t136)) % 0.53/0.80 (define @t138 () (_ @t15 @t68)) % 0.53/0.80 (define @t139 () (not @t138)) % 0.53/0.80 (define @t140 () (or @t130 @t139)) % 0.53/0.80 (define @t141 () (forall @t74 @t140)) % 0.53/0.80 (define @t142 () (not @t141)) % 0.53/0.80 (define @t143 () (lambda @t131 @t142)) % 0.53/0.80 (define @t144 () (_ @t36 @t68)) % 0.53/0.80 (define @t145 () (not @t144)) % 0.53/0.80 (define @t146 () (lambda (@list @t36 @t6) (not (forall @t74 (or @t130 @t145))))) % 0.53/0.80 (define @t147 () (not (forall @t74 (or (not (_ @t70 @t6 @t68)) @t145)))) % 0.53/0.80 (define @t148 () (_ (lambda @t78 @t147) tptp.a1)) % 0.53/0.80 (define @t149 () (_ @t70 @t31 @t68)) % 0.53/0.80 (define @t150 () (not @t149)) % 0.53/0.80 (define @t151 () (forall @t74 (or @t150 @t145))) % 0.53/0.80 (define @t152 () (lambda @t66 @t151)) % 0.53/0.80 (define @t153 () (_ @t152 @t31)) % 0.53/0.80 (define @t154 () (not @t153)) % 0.53/0.80 (define @t155 () (lambda @t66 @t154)) % 0.53/0.80 (define @t156 () (not @t69)) % 0.53/0.80 (define @t157 () (or @t150 @t156)) % 0.53/0.80 (define @t158 () (lambda @t66 @t38)) % 0.53/0.80 (define @t159 () (_ @t158 @t68)) % 0.53/0.80 (define @t160 () (or @t150 @t159)) % 0.53/0.80 (define @t161 () (forall @t74 @t160)) % 0.53/0.80 (define @t162 () (lambda @t66 @t161)) % 0.53/0.80 (define @t163 () (forall @t74 (or @t150 @t144))) % 0.53/0.80 (define @t164 () (lambda @t39 @t163)) % 0.53/0.80 (define @t165 () (lambda @t76 @t163)) % 0.53/0.80 (define @t166 () (@quantifiers_skolemize (forall @t66 @t120) 0)) % 0.53/0.80 (define @t167 () (@quantifiers_skolemize (forall @t74 (or (not (tptp.a1 @t166 @t68)) @t128)) 0)) % 0.53/0.80 (define @t168 () (tptp.a1 @t166 @t167)) % 0.53/0.80 (define @t169 () (not @t168)) % 0.53/0.80 (define @t170 () (or @t169 (not (tptp.likes tptp.piotr tptp.beer @t167)))) % 0.53/0.80 (define @t171 () (@var "BOUND_VARIABLE_9482" $$unsorted)) % 0.53/0.80 (define @t172 () (@var "BOUND_VARIABLE_9460" tptp.mu)) % 0.53/0.80 (define @t173 () (not (tptp.likes @t7 @t172 @t171))) % 0.53/0.80 (define @t174 () (not (tptp.a1 @t31 @t171))) % 0.53/0.80 (define @t175 () (tptp.possibly_likes @t7 @t172 @t31)) % 0.53/0.80 (define @t176 () (or @t175 @t174 @t173)) % 0.53/0.80 (define @t177 () (forall (@list @t7 @t172 @t171) @t176)) % 0.53/0.80 (define @t178 () (lambda @t66 @t177)) % 0.53/0.80 (define @t179 () (_ @t178 @t31)) % 0.53/0.80 (define @t180 () (forall @t66 @t179)) % 0.53/0.80 (define @t181 () (@list @t172 @t171)) % 0.53/0.80 (define @t182 () (forall @t181 @t176)) % 0.53/0.80 (define @t183 () (forall @t181 (or (tptp.possibly_likes @t7 @t172 @t6) (not (tptp.a1 @t6 @t171)) @t173))) % 0.53/0.80 (define @t184 () (lambda @t12 @t183)) % 0.53/0.80 (define @t185 () (_ @t184 @t7 @t31)) % 0.53/0.80 (define @t186 () (forall @t56 @t185)) % 0.53/0.80 (define @t187 () (lambda @t66 @t186)) % 0.53/0.80 (define @t188 () (_ @t53 @t7 @t31)) % 0.53/0.80 (define @t189 () (forall @t56 @t188)) % 0.53/0.80 (define @t190 () (lambda @t58 @t189)) % 0.53/0.80 (define @t191 () (or @t174 @t173)) % 0.53/0.80 (define @t192 () (or @t191 @t175)) % 0.53/0.80 (define @t193 () (forall @t181 @t192)) % 0.53/0.80 (define @t194 () (@list @t171)) % 0.53/0.80 (define @t195 () (forall @t194 @t192)) % 0.53/0.80 (define @t196 () (@list @t172)) % 0.53/0.80 (define @t197 () (forall @t194 @t191)) % 0.53/0.80 (define @t198 () (or @t197 @t175)) % 0.53/0.80 (define @t199 () (forall @t74 (or @t129 (not (tptp.likes @t7 @t172 @t68))))) % 0.53/0.80 (define @t200 () (_ (_ @t22 @t172) @t31)) % 0.53/0.80 (define @t201 () (or @t199 @t200)) % 0.53/0.80 (define @t202 () (tptp.likes @t7 @t18 @t68)) % 0.53/0.80 (define @t203 () (forall @t74 (or @t130 (not @t202)))) % 0.53/0.80 (define @t204 () (or @t203 (_ @t23 @t6))) % 0.53/0.80 (define @t205 () (lambda @t21 @t204)) % 0.53/0.80 (define @t206 () (_ @t205 @t172 @t31)) % 0.53/0.80 (define @t207 () (forall @t196 @t206)) % 0.53/0.80 (define @t208 () (lambda @t66 @t207)) % 0.53/0.80 (define @t209 () (lambda @t131 @t204)) % 0.53/0.80 (define @t210 () (_ @t41 @t6)) % 0.53/0.80 (define @t211 () (@list @t41 @t6)) % 0.53/0.80 (define @t212 () (not @t203)) % 0.53/0.80 (define @t213 () (lambda @t131 @t212)) % 0.53/0.80 (define @t214 () (_ @t213 @t6)) % 0.53/0.80 (define @t215 () (not @t214)) % 0.53/0.80 (define @t216 () (or @t215 @t210)) % 0.53/0.80 (define @t217 () (lambda @t211 @t216)) % 0.53/0.80 (define @t218 () (or (not (_ @t36 @t6)) @t210)) % 0.53/0.80 (define @t219 () (lambda @t47 @t218)) % 0.53/0.80 (define @t220 () (_ @t20 @t68)) % 0.53/0.80 (define @t221 () (not @t220)) % 0.53/0.80 (define @t222 () (or @t130 @t221)) % 0.53/0.80 (define @t223 () (_ @t20 @t68)) % 0.53/0.80 (define @t224 () (not @t223)) % 0.53/0.80 (define @t225 () (or @t130 @t224)) % 0.53/0.80 (define @t226 () (forall @t74 @t225)) % 0.53/0.80 (define @t227 () (not @t226)) % 0.53/0.80 (define @t228 () (lambda @t131 @t227)) % 0.53/0.80 (define @t229 () (lambda @t21 (_ (_ (_ @t219 (_ @t148 @t20)) @t23) @t6))) % 0.53/0.80 (define @t230 () (or @t38 @t42)) % 0.53/0.80 (define @t231 () (lambda @t66 @t230)) % 0.53/0.80 (define @t232 () (@list @t41 @t31)) % 0.53/0.80 (define @t233 () (_ @t158 @t31)) % 0.53/0.80 (define @t234 () (or @t233 @t42)) % 0.53/0.80 (define @t235 () (lambda @t232 @t234)) % 0.53/0.80 (define @t236 () (tptp.likes tptp.piotr tptp.cola @t68)) % 0.53/0.80 (define @t237 () (or @t129 @t236)) % 0.53/0.80 (define @t238 () (forall @t74 @t237)) % 0.53/0.80 (define @t239 () (lambda @t66 @t238)) % 0.53/0.80 (define @t240 () (_ @t239 @t31)) % 0.53/0.80 (define @t241 () (forall @t66 @t240)) % 0.53/0.80 (define @t242 () (_ @t14 @t68)) % 0.53/0.80 (define @t243 () (or @t129 @t242)) % 0.53/0.80 (define @t244 () (_ @t14 @t68)) % 0.53/0.80 (define @t245 () (or @t129 @t244)) % 0.53/0.80 (define @t246 () (forall @t74 @t245)) % 0.53/0.80 (define @t247 () (lambda @t66 @t246)) % 0.53/0.80 (define @t248 () (lambda @t39 (forall @t74 (or @t129 @t144)))) % 0.53/0.80 (define @t249 () (tptp.likes tptp.piotr tptp.cola @t167)) % 0.53/0.80 (define @t250 () (or @t169 @t249)) % 0.53/0.80 (define @t251 () (not @t249)) % 0.53/0.80 (define @t252 () (tptp.possibly_likes tptp.piotr tptp.cola @t166)) % 0.53/0.80 (define @t253 () (or @t252 @t169 @t251)) % 0.53/0.80 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.53/0.80 (assume @p2 (_ tptp.mvalid (_ @t3 @t2))) % 0.53/0.80 (assume @p3 (_ tptp.mvalid (_ @t3 @t5))) % 0.53/0.80 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t10)) @t9)) @t6))))) % 0.53/0.80 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t9)) @t10)) @t6))))) % 0.53/0.80 (assume @p6 (_ tptp.mvalid (_ @t13 (_ @t1 tptp.pepsi)))) % 0.53/0.80 (assume @p7 (_ tptp.mvalid (_ @t3 @t14))) % 0.53/0.80 (assume @p8 (_ tptp.mvalid (_ @t3 @t15))) % 0.53/0.80 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t13 (_ (_ tptp.mimplies @t10) @t9)) @t6))))) % 0.53/0.80 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t13 (_ (_ tptp.mimplies @t9) @t10)) @t6))))) % 0.53/0.80 (assume @p11 (_ tptp.mvalid (_ @t16 @t2))) % 0.53/0.80 (assume @p12 (_ tptp.mvalid (_ @t17 @t5))) % 0.53/0.80 (assume @p13 (_ tptp.mvalid (_ @t11 @t15))) % 0.53/0.80 (assume @p14 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t21 (_ (_ @t16 (_ (_ tptp.mimplies (_ (_ tptp.mand @t20) (_ (_ tptp.mand (_ @t3 @t20)) (_ @t13 @t20)))) @t19)) @t6))) @t6))))) % 0.53/0.80 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t21 (_ (_ (_ tptp.mimplies (_ @t16 @t19)) @t19) @t6))) @t6))))) % 0.53/0.80 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t21 (_ (_ (_ tptp.mimplies (_ @t17 @t19)) @t20) @t6))) @t6))))) % 0.53/0.80 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind @t25))) % 0.53/0.80 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t21 (_ (_ (_ tptp.mimplies (_ (_ tptp.mdia tptp.a2) @t20)) @t23) @t6))) @t6))))) % 0.53/0.80 (assume @p19 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t21 (_ (_ (_ tptp.mimplies (_ @t17 @t20)) @t23) @t6))) @t6))))) % 0.53/0.80 (assume @p20 (_ tptp.msymmetric tptp.a1)) % 0.53/0.80 (assume @p21 (_ tptp.msymmetric tptp.a2)) % 0.53/0.80 (assume @p22 (_ tptp.msymmetric tptp.a3)) % 0.53/0.80 (assume @p23 (_ tptp.mserial tptp.a1)) % 0.53/0.80 (assume @p24 (_ tptp.mserial tptp.a2)) % 0.53/0.80 (assume @p25 (_ tptp.mserial tptp.a3)) % 0.53/0.80 (assume @p26 (_ @t26 tptp.a2)) % 0.53/0.80 (assume @p27 (_ @t26 tptp.a3)) % 0.53/0.80 (assume @p28 (_ (_ tptp.subrel tptp.a2) tptp.a3)) % 0.53/0.80 (assume @p29 (_ @t27 tptp.a1)) % 0.53/0.80 (assume @p30 (_ @t27 tptp.a2)) % 0.53/0.80 (assume @p31 (_ @t27 tptp.a3)) % 0.53/0.80 (assume @p32 (_ @t28 tptp.a1)) % 0.53/0.80 (assume @p33 (_ @t28 tptp.a2)) % 0.53/0.80 (assume @p34 (_ @t28 tptp.a3)) % 0.53/0.80 (assume @p35 (_ (_ tptp.cond4s tptp.a3) tptp.a3)) % 0.53/0.80 (assume @p36 (_ tptp.meuclidean tptp.a1)) % 0.53/0.80 (assume @p37 (_ tptp.meuclidean tptp.a2)) % 0.53/0.80 (assume @p38 (_ tptp.meuclidean tptp.a3)) % 0.53/0.80 (assume @p39 @t30) % 0.53/0.80 (assume @p40 true) % 0.53/0.80 (step @p41 (= tptp.meq_ind @t32) :rule refl :args (@t32)) % 0.53/0.80 (step @p42 (= tptp.meq_prop @t35) :rule refl :args (@t35)) % 0.53/0.80 (step @p43 (= tptp.mnot @t40) :rule refl :args (@t40)) % 0.53/0.80 (step @p44 (= tptp.mor @t43) :rule refl :args (@t43)) % 0.53/0.80 (step @p45 (= tptp.mand @t48) :rule refl :args (@t48)) % 0.53/0.80 (step @p46 (= tptp.mimplies @t49) :rule refl :args (@t49)) % 0.53/0.80 (step @p47 (= tptp.mimplied @t50) :rule refl :args (@t50)) % 0.53/0.80 (step @p48 (= tptp.mequiv @t51) :rule refl :args (@t51)) % 0.53/0.80 (step @p49 (= tptp.mxor @t52) :rule refl :args (@t52)) % 0.53/0.80 (step @p50 (= tptp.mforall_ind @t59) :rule refl :args (@t59)) % 0.53/0.80 (step @p51 (= tptp.mforall_prop @t63) :rule refl :args (@t63)) % 0.53/0.80 (step @p52 (= tptp.mexists_ind @t64) :rule refl :args (@t64)) % 0.53/0.80 (step @p53 (= tptp.mexists_prop @t65) :rule refl :args (@t65)) % 0.53/0.80 (step @p54 (= tptp.mtrue @t67) :rule refl :args (@t67)) % 0.53/0.80 (step @p55 (= tptp.mbox @t77) :rule refl :args (@t77)) % 0.53/0.80 (step @p56 (= tptp.mdia @t79) :rule refl :args (@t79)) % 0.53/0.80 (step @p57 (= tptp.mreflexive @t84) :rule refl :args (@t84)) % 0.53/0.80 (step @p58 (= tptp.msymmetric @t88) :rule refl :args (@t88)) % 0.53/0.80 (step @p59 (= tptp.mserial @t90) :rule refl :args (@t90)) % 0.53/0.80 (step @p60 (= tptp.mtransitive @t95) :rule refl :args (@t95)) % 0.53/0.80 (step @p61 (= tptp.meuclidean @t97) :rule refl :args (@t97)) % 0.53/0.80 (step @p62 (= tptp.mpartially_functional @t99) :rule refl :args (@t99)) % 0.53/0.80 (step @p63 (= tptp.mfunctional @t101) :rule refl :args (@t101)) % 0.53/0.80 (step @p64 (= tptp.mweakly_dense @t104) :rule refl :args (@t104)) % 0.53/0.80 (step @p65 (= tptp.mweakly_connected @t105) :rule refl :args (@t105)) % 0.53/0.80 (step @p66 (= tptp.mweakly_directed @t106) :rule refl :args (@t106)) % 0.53/0.80 (step @p67 (= tptp.mvalid @t109) :rule refl :args (@t109)) % 0.53/0.80 (step @p68 (= tptp.minvalid @t110) :rule refl :args (@t110)) % 0.53/0.80 (step @p69 (= tptp.msatisfiable @t111) :rule refl :args (@t111)) % 0.53/0.80 (step @p70 (= tptp.mcountersatisfiable @t112) :rule refl :args (@t112)) % 0.53/0.80 (step @p71 (= tptp.subrel @t118) :rule refl :args (@t118)) % 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@p315 :rule trans :premises (@p46 @p314)) % 0.53/0.80 (step @p316 :rule ho_cong :premises (@p315 @p293)) % 0.53/0.80 (step @p317 :rule ho_cong :premises (@p316 @p245)) % 0.53/0.80 (step @p318 :rule ho_cong :premises (@p317 @p131)) % 0.53/0.80 (step @p319 :rule cong :premises (@p318) :args (@t24)) % 0.53/0.80 (step @p320 :rule refl :args (@t188)) % 0.53/0.80 (step @p321 :rule refl :args (@t55)) % 0.53/0.80 (step @p322 :rule cong :premises (@p321 @p320) :args ((= @t55 @t188))) % 0.53/0.80 (step @p323 :rule symm :premises (@p322)) % 0.53/0.80 (step @p324 :rule eq_resolve :premises (@p321 @p323)) % 0.53/0.80 (step @p325 :rule cong :premises (@p324) :args (@t57)) % 0.53/0.80 (step @p326 :rule cong :premises (@p325) :args (@t59)) % 0.53/0.80 (step @p327 :rule trans :premises (@p50 @p326)) % 0.53/0.80 (step @p328 :rule ho_cong :premises (@p327 @p319)) % 0.53/0.80 (step @p329 :rule ho_cong :premises (@p328 @p131)) % 0.53/0.80 (step @p330 :rule cong :premises (@p329) :args (@t25)) % 0.53/0.80 (step @p331 :rule ho_cong :premises (@p327 @p330)) % 0.53/0.80 (step @p332 :rule ho_cong :premises (@p93 @p331)) % 0.53/0.80 (step @p333 :rule trans :premises (@p332 @p292)) % 0.53/0.80 (step @p334 :rule eq_resolve :premises (@p17 @p333)) % 0.53/0.80 (step @p335 :rule instantiate :premises (@p334) :args ((@list @t166 tptp.piotr tptp.cola @t167))) % 0.53/0.80 (step @p336 :rule quant-merge-prenex :args ((= (forall @t66 @t238) (forall (@list @t31 @t68) @t237)))) % 0.53/0.80 (step @p337 :rule beta-reduce :args ((= @t240 @t238))) % 0.53/0.80 (step @p338 :rule cong :premises (@p337) :args (@t241)) % 0.53/0.80 (step @p339 :rule trans :premises (@p338 @p336)) % 0.53/0.80 (step @p340 :rule beta-reduce :args ((= (_ @t125 @t239) @t241))) % 0.53/0.80 (step @p341 :rule trans :premises (@p340 @p339)) % 0.53/0.80 (step @p342 :rule refl :args (@t236)) % 0.53/0.80 (step @p343 :rule refl :args (@t242)) % 0.53/0.80 (step @p344 :rule cong :premises (@p343 @p342) :args ((= @t242 @t236))) % 0.53/0.80 (step @p345 :rule symm :premises (@p344)) % 0.53/0.80 (step @p346 :rule eq_resolve :premises (@p343 @p345)) % 0.53/0.80 (step @p347 :rule refl :args (@t129)) % 0.53/0.80 (step @p348 :rule nary_cong :premises (@p347 @p346) :args (@t243)) % 0.53/0.80 (step @p349 :rule cong :premises (@p348) :args ((forall @t74 @t243))) % 0.53/0.80 (step @p350 :rule refl :args (@t244)) % 0.53/0.80 (step @p351 :rule refl :args (@t129)) % 0.53/0.80 (step @p352 :rule nary_cong :premises (@p351 @p350) :args (@t245)) % 0.37/0.80 (step @p353 :rule cong :premises (@p352) :args (@t246)) % 0.37/0.80 (step @p354 :rule trans :premises (@p353 @p349)) % 0.37/0.80 (step @p355 :rule cong :premises (@p354) :args (@t247)) % 0.37/0.80 (step @p356 :rule beta-reduce :args ((= (_ @t248 @t14) @t247))) % 0.37/0.80 (step @p357 :rule trans :premises (@p356 @p355)) % 0.37/0.80 (step @p358 :rule refl :args (@t14)) % 0.37/0.80 (step @p359 :rule beta-reduce :args ((= (_ @t165 tptp.a1) @t248))) % 0.37/0.80 (step @p360 :rule ho_cong :premises (@p359 @p358)) % 0.37/0.80 (step @p361 :rule trans :premises (@p360 @p357)) % 0.37/0.80 (step @p362 :rule ho_cong :premises (@p126 @p361)) % 0.37/0.80 (step @p363 :rule trans :premises (@p362 @p341)) % 0.37/0.80 (step @p364 :rule ho_cong :premises (@p175 @p129)) % 0.37/0.80 (step @p365 :rule ho_cong :premises (@p364 @p358)) % 0.37/0.80 (step @p366 :rule ho_cong :premises (@p93 @p365)) % 0.37/0.80 (step @p367 :rule trans :premises (@p366 @p363)) % 0.37/0.80 (step @p368 :rule eq_resolve :premises (@p7 @p367)) % 0.37/0.80 (step @p369 :rule instantiate :premises (@p368) :args ((@list @t166 @t167))) % 0.37/0.80 (step @p370 :rule cnf_or_pos :args (@t250)) % 0.37/0.80 (step @p371 :rule reordering :premises (@p370) :args ((or @t169 @t249 (not @t250)))) % 0.37/0.80 (step @p372 :rule chain_m_resolution :premises (@p371 @p196 @p369) :args (@t249 (@list false false) (@list @t168 @t250))) % 0.37/0.80 (step @p373 :rule cnf_or_pos :args (@t253)) % 0.37/0.80 (step @p374 :rule reordering :premises (@p373) :args ((or @t252 @t169 @t251 (not @t253)))) % 0.37/0.80 (step @p375 false :rule chain_m_resolution :premises (@p374 @p372 @p335 @p196 @p98) :args (false (@list false false false true) (@list @t249 @t253 @t168 @t252))) % 0.37/0.80 ) % 0.37/0.80 % SZS output end Proof % 0.37/0.80 % cvc5 exiting %------------------------------------------------------------------------------