%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : AGT034^2 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : 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 0.45s 0.65s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : AGT034^2 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 01:34:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.50 %----Proving TH0 % 0.45/0.65 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.65 % SZS status Theorem % 0.45/0.65 % SZS output start Proof % 0.45/0.65 ( % 0.45/0.65 (declare-sort $$unsorted 0) % 0.45/0.65 (declare-sort tptp.mu 0) % 0.45/0.65 (declare-const tptp.possibly_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.very_much_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.beer tptp.mu) % 0.45/0.65 (declare-const tptp.cola tptp.mu) % 0.45/0.65 (declare-const tptp.jan tptp.mu) % 0.45/0.65 (declare-const tptp.likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.a1 (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.pepsi tptp.mu) % 0.45/0.65 (declare-const tptp.piotr tptp.mu) % 0.45/0.65 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.a2 (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.a3 (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.45/0.65 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.45/0.65 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.45/0.65 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.45/0.65 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.45/0.65 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.45/0.65 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.45/0.65 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.45/0.65 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.45/0.65 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.45/0.65 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.45/0.65 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.45/0.65 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.45/0.65 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.45/0.65 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.45/0.65 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.45/0.65 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.45/0.65 (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)))))))) % 0.45/0.65 (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)))))))) % 0.45/0.65 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.45/0.65 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.45/0.65 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.45/0.65 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.45/0.65 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.45/0.65 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.45/0.65 (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))))))))))))) % 0.45/0.65 (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)))))) % 0.45/0.65 (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))))))) % 0.45/0.65 (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)))))) % 0.45/0.65 (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))))))) % 0.45/0.65 (define @t1 () (_ tptp.likes tptp.jan)) % 0.45/0.65 (define @t2 () (_ @t1 tptp.cola)) % 0.45/0.65 (define @t3 () (_ tptp.mbox tptp.a1)) % 0.45/0.65 (define @t4 () (_ tptp.likes tptp.piotr)) % 0.45/0.65 (define @t5 () (_ @t4 tptp.pepsi)) % 0.45/0.65 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 0.45/0.65 (define @t7 () (@var "X" tptp.mu)) % 0.45/0.65 (define @t8 () (_ tptp.likes @t7)) % 0.45/0.65 (define @t9 () (_ @t8 tptp.cola)) % 0.45/0.65 (define @t10 () (_ @t8 tptp.pepsi)) % 0.45/0.65 (define @t11 () (_ tptp.mdia tptp.a1)) % 0.45/0.65 (define @t12 () (@list @t7 @t6)) % 0.45/0.65 (define @t13 () (_ @t1 tptp.pepsi)) % 0.45/0.65 (define @t14 () (_ tptp.mbox tptp.a2)) % 0.45/0.65 (define @t15 () (_ @t4 tptp.beer)) % 0.45/0.65 (define @t16 () (lambda @t12 (_ (_ @t14 (_ (_ tptp.mimplies @t10) @t9)) @t6))) % 0.45/0.65 (define @t17 () (_ tptp.mbox tptp.a3)) % 0.45/0.65 (define @t18 () (_ tptp.mdia tptp.a3)) % 0.45/0.65 (define @t19 () (@var "Y" tptp.mu)) % 0.45/0.65 (define @t20 () (_ tptp.very_much_likes @t7)) % 0.45/0.65 (define @t21 () (_ @t20 @t19)) % 0.45/0.65 (define @t22 () (_ @t8 @t19)) % 0.45/0.65 (define @t23 () (@list @t19 @t6)) % 0.45/0.65 (define @t24 () (lambda @t23 (_ (_ @t17 (_ (_ tptp.mimplies (_ (_ tptp.mand @t22) (_ (_ tptp.mand (_ @t3 @t22)) (_ @t14 @t22)))) @t21)) @t6))) % 0.45/0.65 (define @t25 () (lambda @t12 (_ (_ tptp.mforall_ind @t24) @t6))) % 0.45/0.65 (define @t26 () (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t17 @t21)) @t21) @t6))) % 0.45/0.65 (define @t27 () (lambda @t12 (_ (_ tptp.mforall_ind @t26) @t6))) % 0.45/0.65 (define @t28 () (_ (_ tptp.possibly_likes @t7) @t19)) % 0.45/0.65 (define @t29 () (_ (_ tptp.very_much_likes tptp.jan) tptp.cola)) % 0.45/0.65 (define @t30 () (not (_ tptp.mvalid @t29))) % 0.45/0.65 (define @t31 () (@var "W" $$unsorted)) % 0.45/0.65 (define @t32 () (lambda (@list @t7 @t19 @t31) (= @t7 @t19))) % 0.45/0.65 (define @t33 () (@var "Y" (-> $$unsorted Bool))) % 0.45/0.65 (define @t34 () (@var "X" (-> $$unsorted Bool))) % 0.45/0.65 (define @t35 () (lambda (@list @t34 @t33 @t31) (= (_ @t34 @t31) (_ @t33 @t31)))) % 0.45/0.65 (define @t36 () (@var "Phi" (-> $$unsorted Bool))) % 0.45/0.65 (define @t37 () (_ @t36 @t31)) % 0.45/0.65 (define @t38 () (not @t37)) % 0.45/0.65 (define @t39 () (@list @t36 @t31)) % 0.45/0.65 (define @t40 () (lambda @t39 @t38)) % 0.45/0.65 (define @t41 () (@var "Psi" (-> $$unsorted Bool))) % 0.45/0.65 (define @t42 () (_ @t41 @t31)) % 0.45/0.65 (define @t43 () (lambda (@list @t36 @t41 @t31) (or @t37 @t42))) % 0.45/0.65 (define @t44 () (_ tptp.mnot @t41)) % 0.45/0.65 (define @t45 () (_ tptp.mnot @t36)) % 0.45/0.65 (define @t46 () (_ tptp.mor @t45)) % 0.45/0.65 (define @t47 () (@list @t36 @t41 @t6)) % 0.45/0.65 (define @t48 () (lambda @t47 (_ (_ tptp.mnot (_ @t46 @t44)) @t6))) % 0.45/0.65 (define @t49 () (lambda @t47 (_ (_ @t46 @t41) @t6))) % 0.45/0.65 (define @t50 () (lambda @t47 (_ (_ (_ tptp.mor @t44) @t36) @t6))) % 0.45/0.65 (define @t51 () (lambda @t47 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t36) @t41)) (_ (_ tptp.mimplies @t41) @t36)) @t6))) % 0.45/0.65 (define @t52 () (lambda @t47 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t36) @t41)) @t6))) % 0.45/0.65 (define @t53 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.45/0.65 (define @t54 () (_ @t53 @t7)) % 0.45/0.65 (define @t55 () (_ @t54 @t31)) % 0.45/0.65 (define @t56 () (@list @t7)) % 0.45/0.65 (define @t57 () (forall @t56 @t55)) % 0.45/0.65 (define @t58 () (@list @t53 @t31)) % 0.45/0.65 (define @t59 () (lambda @t58 @t57)) % 0.45/0.65 (define @t60 () (@var "P" (-> $$unsorted Bool))) % 0.45/0.65 (define @t61 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.45/0.65 (define @t62 () (_ @t61 @t60)) % 0.45/0.65 (define @t63 () (lambda (@list @t61 @t31) (forall (@list @t60) (_ @t62 @t31)))) % 0.45/0.65 (define @t64 () (lambda (@list @t53 @t6) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mnot @t54) @t6)))) @t6))) % 0.45/0.65 (define @t65 () (lambda (@list @t61 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t60 @t6) (_ (_ tptp.mnot @t62) @t6)))) @t6))) % 0.45/0.65 (define @t66 () (@list @t31)) % 0.45/0.65 (define @t67 () (lambda @t66 true)) % 0.45/0.65 (define @t68 () (@var "V" $$unsorted)) % 0.45/0.65 (define @t69 () (_ @t36 @t68)) % 0.45/0.65 (define @t70 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.45/0.65 (define @t71 () (_ (_ @t70 @t31) @t68)) % 0.45/0.65 (define @t72 () (not @t71)) % 0.45/0.65 (define @t73 () (or @t72 @t69)) % 0.45/0.65 (define @t74 () (@list @t68)) % 0.45/0.65 (define @t75 () (forall @t74 @t73)) % 0.45/0.65 (define @t76 () (@list @t70 @t36 @t31)) % 0.45/0.65 (define @t77 () (lambda @t76 @t75)) % 0.45/0.65 (define @t78 () (lambda (@list @t70 @t36 @t6) (_ (_ tptp.mnot (_ (_ tptp.mbox @t70) @t45)) @t6))) % 0.45/0.65 (define @t79 () (@var "S" $$unsorted)) % 0.45/0.65 (define @t80 () (_ @t70 @t79)) % 0.45/0.65 (define @t81 () (@list @t79)) % 0.45/0.65 (define @t82 () (@list @t70)) % 0.45/0.65 (define @t83 () (lambda @t82 (forall @t81 (_ @t80 @t79)))) % 0.45/0.65 (define @t84 () (@var "T" $$unsorted)) % 0.45/0.65 (define @t85 () (_ @t70 @t84)) % 0.45/0.65 (define @t86 () (_ @t80 @t84)) % 0.45/0.65 (define @t87 () (lambda @t82 (forall (@list @t79 @t84) (=> @t86 (_ @t85 @t79))))) % 0.45/0.65 (define @t88 () (@list @t84)) % 0.45/0.65 (define @t89 () (lambda @t82 (forall @t81 (exists @t88 @t86)))) % 0.45/0.65 (define @t90 () (@var "U" $$unsorted)) % 0.45/0.65 (define @t91 () (_ @t80 @t90)) % 0.45/0.65 (define @t92 () (_ @t85 @t90)) % 0.45/0.65 (define @t93 () (@list @t79 @t84 @t90)) % 0.45/0.65 (define @t94 () (lambda @t82 (forall @t93 (=> (and @t86 @t92) @t91)))) % 0.45/0.65 (define @t95 () (and @t86 @t91)) % 0.45/0.65 (define @t96 () (lambda @t82 (forall @t93 (=> @t95 @t92)))) % 0.45/0.65 (define @t97 () (= @t84 @t90)) % 0.45/0.65 (define @t98 () (lambda @t82 (forall @t93 (=> @t95 @t97)))) % 0.45/0.65 (define @t99 () (@list @t90)) % 0.45/0.65 (define @t100 () (lambda @t82 (forall @t81 (exists @t88 (and @t86 (forall @t99 (=> @t91 @t97))))))) % 0.45/0.65 (define @t101 () (_ @t70 @t90)) % 0.45/0.65 (define @t102 () (_ @t101 @t84)) % 0.45/0.65 (define @t103 () (lambda @t82 (forall @t93 (=> @t86 (exists @t99 (and @t91 @t102)))))) % 0.45/0.65 (define @t104 () (lambda @t82 (forall @t93 (=> @t95 (or @t92 @t97 @t102))))) % 0.45/0.65 (define @t105 () (lambda @t82 (forall @t93 (=> @t95 (exists @t74 (and (_ @t85 @t68) (_ @t101 @t68))))))) % 0.45/0.65 (define @t106 () (forall @t66 @t37)) % 0.45/0.65 (define @t107 () (@list @t36)) % 0.45/0.65 (define @t108 () (lambda @t107 @t106)) % 0.45/0.65 (define @t109 () (lambda @t107 (forall @t66 @t38))) % 0.45/0.65 (define @t110 () (lambda @t107 (exists @t66 @t37))) % 0.45/0.65 (define @t111 () (lambda @t107 (exists @t66 @t38))) % 0.45/0.65 (define @t112 () (tptp.likes @t7 tptp.cola @t68)) % 0.45/0.65 (define @t113 () (tptp.likes @t7 tptp.pepsi @t68)) % 0.45/0.65 (define @t114 () (not @t113)) % 0.45/0.65 (define @t115 () (not (tptp.a2 @t31 @t68))) % 0.45/0.65 (define @t116 () (or @t115 @t114 @t112)) % 0.45/0.65 (define @t117 () (forall (@list @t31 @t7 @t68) @t116)) % 0.45/0.65 (define @t118 () (forall (@list @t7 @t68) @t116)) % 0.45/0.65 (define @t119 () (lambda @t66 @t118)) % 0.45/0.65 (define @t120 () (_ @t119 @t31)) % 0.45/0.65 (define @t121 () (forall @t66 @t120)) % 0.45/0.65 (define @t122 () (_ @t36 @t31)) % 0.45/0.65 (define @t123 () (lambda @t107 (forall @t66 @t122))) % 0.45/0.65 (define @t124 () (forall @t74 @t116)) % 0.45/0.65 (define @t125 () (not (tptp.a2 @t6 @t68))) % 0.45/0.65 (define @t126 () (forall @t74 (or @t125 @t114 @t112))) % 0.45/0.65 (define @t127 () (lambda @t12 @t126)) % 0.45/0.65 (define @t128 () (_ @t127 @t7 @t31)) % 0.45/0.65 (define @t129 () (forall @t56 @t128)) % 0.45/0.65 (define @t130 () (lambda @t66 @t129)) % 0.45/0.65 (define @t131 () (_ @t53 @t7 @t31)) % 0.45/0.65 (define @t132 () (forall @t56 @t131)) % 0.45/0.65 (define @t133 () (lambda @t58 @t132)) % 0.45/0.65 (define @t134 () (_ @t9 @t68)) % 0.45/0.65 (define @t135 () (_ @t10 @t68)) % 0.45/0.65 (define @t136 () (not @t135)) % 0.45/0.65 (define @t137 () (or @t115 @t136 @t134)) % 0.45/0.65 (define @t138 () (or @t136 @t134)) % 0.45/0.65 (define @t139 () (not (_ @t10 @t6))) % 0.45/0.65 (define @t140 () (@list @t6)) % 0.45/0.65 (define @t141 () (lambda @t140 (or @t139 (_ @t9 @t6)))) % 0.45/0.65 (define @t142 () (_ @t141 @t68)) % 0.45/0.65 (define @t143 () (or @t115 @t142)) % 0.45/0.65 (define @t144 () (forall @t74 @t143)) % 0.45/0.65 (define @t145 () (lambda @t66 @t144)) % 0.45/0.65 (define @t146 () (_ @t36 @t68)) % 0.45/0.65 (define @t147 () (lambda @t39 (forall @t74 (or @t115 @t146)))) % 0.45/0.65 (define @t148 () (_ @t41 @t6)) % 0.45/0.65 (define @t149 () (@list @t41 @t6)) % 0.45/0.65 (define @t150 () (lambda @t149 (or @t139 @t148))) % 0.45/0.65 (define @t151 () (not (_ @t36 @t6))) % 0.45/0.65 (define @t152 () (or @t151 @t148)) % 0.45/0.65 (define @t153 () (lambda @t47 @t152)) % 0.45/0.65 (define @t154 () (_ @t153 @t10)) % 0.45/0.65 (define @t155 () (_ @t70 @t31 @t68)) % 0.45/0.65 (define @t156 () (lambda @t76 (forall @t74 (or (not @t155) @t146)))) % 0.45/0.65 (define @t157 () (_ @t156 tptp.a2)) % 0.45/0.65 (define @t158 () (or @t38 @t42)) % 0.45/0.65 (define @t159 () (lambda @t66 @t158)) % 0.45/0.65 (define @t160 () (@list @t41 @t31)) % 0.45/0.65 (define @t161 () (lambda @t160 @t158)) % 0.45/0.65 (define @t162 () (lambda @t66 @t38)) % 0.45/0.65 (define @t163 () (_ @t162 @t31)) % 0.45/0.65 (define @t164 () (or @t163 @t42)) % 0.45/0.65 (define @t165 () (lambda @t160 @t164)) % 0.45/0.65 (define @t166 () (tptp.likes tptp.jan tptp.pepsi @t68)) % 0.45/0.65 (define @t167 () (or @t115 @t166)) % 0.45/0.65 (define @t168 () (@list @t31 @t68)) % 0.45/0.65 (define @t169 () (forall @t74 @t167)) % 0.45/0.65 (define @t170 () (lambda @t66 @t169)) % 0.45/0.65 (define @t171 () (_ @t170 @t31)) % 0.45/0.65 (define @t172 () (forall @t66 @t171)) % 0.45/0.65 (define @t173 () (_ @t13 @t68)) % 0.45/0.65 (define @t174 () (or @t115 @t173)) % 0.45/0.65 (define @t175 () (_ @t13 @t68)) % 0.45/0.65 (define @t176 () (or @t115 @t175)) % 0.45/0.65 (define @t177 () (forall @t74 @t176)) % 0.45/0.65 (define @t178 () (lambda @t66 @t177)) % 0.45/0.65 (define @t179 () (@var "BOUND_VARIABLE_9055" $$unsorted)) % 0.45/0.65 (define @t180 () (tptp.very_much_likes tptp.jan tptp.cola @t31)) % 0.45/0.65 (define @t181 () (@quantifiers_skolemize (forall @t66 @t180) 0)) % 0.45/0.65 (define @t182 () (forall @t74 (or (not (tptp.a3 @t181 @t68)) (tptp.very_much_likes tptp.jan tptp.cola @t68)))) % 0.45/0.65 (define @t183 () (@quantifiers_skolemize @t182 0)) % 0.45/0.65 (define @t184 () (@list @t179)) % 0.45/0.65 (define @t185 () (forall @t184 (or (not (tptp.a2 @t183 @t179)) (tptp.likes tptp.jan tptp.cola @t179)))) % 0.45/0.65 (define @t186 () (@quantifiers_skolemize @t185 0)) % 0.45/0.65 (define @t187 () (@var "BOUND_VARIABLE_9103" tptp.mu)) % 0.45/0.65 (define @t188 () (not (tptp.a2 @t68 @t179))) % 0.45/0.65 (define @t189 () (not (forall @t184 (or @t188 (tptp.likes @t7 @t187 @t179))))) % 0.45/0.65 (define @t190 () (@var "BOUND_VARIABLE_9064" $$unsorted)) % 0.45/0.65 (define @t191 () (not (tptp.a1 @t68 @t190))) % 0.45/0.65 (define @t192 () (@list @t190)) % 0.45/0.65 (define @t193 () (not (forall @t192 (or @t191 (tptp.likes @t7 @t187 @t190))))) % 0.45/0.65 (define @t194 () (not (tptp.likes @t7 @t187 @t68))) % 0.45/0.65 (define @t195 () (tptp.very_much_likes @t7 @t187 @t68)) % 0.45/0.65 (define @t196 () (not (tptp.a3 @t31 @t68))) % 0.45/0.65 (define @t197 () (or @t196 @t195 @t194 @t193 @t189)) % 0.45/0.65 (define @t198 () (forall (@list @t7 @t187 @t68) @t197)) % 0.45/0.65 (define @t199 () (lambda @t66 @t198)) % 0.45/0.65 (define @t200 () (_ @t199 @t31)) % 0.45/0.65 (define @t201 () (forall @t66 @t200)) % 0.45/0.65 (define @t202 () (@list @t187 @t68)) % 0.45/0.65 (define @t203 () (forall @t202 @t197)) % 0.45/0.65 (define @t204 () (not (tptp.a3 @t6 @t68))) % 0.45/0.65 (define @t205 () (forall @t202 (or @t204 @t195 @t194 @t193 @t189))) % 0.45/0.65 (define @t206 () (lambda @t12 @t205)) % 0.45/0.65 (define @t207 () (_ @t206 @t7 @t31)) % 0.45/0.65 (define @t208 () (forall @t56 @t207)) % 0.45/0.65 (define @t209 () (lambda @t66 @t208)) % 0.45/0.65 (define @t210 () (forall @t74 @t197)) % 0.45/0.65 (define @t211 () (@list @t187)) % 0.45/0.65 (define @t212 () (tptp.likes @t7 @t19 @t179)) % 0.45/0.65 (define @t213 () (not (forall @t184 (or @t188 @t212)))) % 0.45/0.65 (define @t214 () (tptp.likes @t7 @t19 @t190)) % 0.45/0.65 (define @t215 () (not (forall @t192 (or @t191 @t214)))) % 0.45/0.65 (define @t216 () (tptp.likes @t7 @t19 @t68)) % 0.45/0.65 (define @t217 () (not @t216)) % 0.45/0.65 (define @t218 () (tptp.very_much_likes @t7 @t19 @t68)) % 0.45/0.65 (define @t219 () (forall @t74 (or @t204 @t218 @t217 @t215 @t213))) % 0.45/0.65 (define @t220 () (lambda @t23 @t219)) % 0.45/0.65 (define @t221 () (_ @t220 @t187 @t31)) % 0.45/0.65 (define @t222 () (forall @t211 @t221)) % 0.45/0.65 (define @t223 () (lambda @t66 @t222)) % 0.45/0.65 (define @t224 () (@list @t7)) % 0.45/0.65 (define @t225 () (_ @t22 @t68)) % 0.45/0.65 (define @t226 () (not @t225)) % 0.45/0.65 (define @t227 () (_ @t21 @t68)) % 0.45/0.65 (define @t228 () (or @t196 @t227 @t226 @t215 @t213)) % 0.45/0.65 (define @t229 () (or @t227 @t226 @t215 @t213)) % 0.45/0.65 (define @t230 () (not (_ @t22 @t6))) % 0.45/0.65 (define @t231 () (_ @t21 @t6)) % 0.45/0.65 (define @t232 () (forall @t74 (or @t125 @t216))) % 0.45/0.65 (define @t233 () (@list @t68)) % 0.45/0.65 (define @t234 () (not @t232)) % 0.45/0.65 (define @t235 () (forall @t74 (or (not (tptp.a1 @t6 @t68)) @t216))) % 0.45/0.65 (define @t236 () (not @t235)) % 0.45/0.65 (define @t237 () (or @t231 @t230 @t236 @t234)) % 0.45/0.65 (define @t238 () (lambda @t140 @t237)) % 0.45/0.65 (define @t239 () (or @t196 (_ @t238 @t68))) % 0.45/0.65 (define @t240 () (forall @t74 @t239)) % 0.45/0.65 (define @t241 () (lambda @t66 @t240)) % 0.45/0.65 (define @t242 () (lambda @t39 (forall @t74 (or @t196 @t146)))) % 0.45/0.65 (define @t243 () (or @t148 @t230 @t236 @t234)) % 0.45/0.65 (define @t244 () (or @t230 @t236 @t234)) % 0.45/0.65 (define @t245 () (not @t244)) % 0.45/0.65 (define @t246 () (lambda @t140 @t245)) % 0.45/0.65 (define @t247 () (_ @t246 @t6)) % 0.45/0.65 (define @t248 () (not @t247)) % 0.45/0.65 (define @t249 () (or @t248 @t148)) % 0.45/0.65 (define @t250 () (lambda @t149 @t249)) % 0.45/0.65 (define @t251 () (or @t236 @t234)) % 0.45/0.65 (define @t252 () (not @t251)) % 0.45/0.65 (define @t253 () (lambda @t140 @t252)) % 0.45/0.65 (define @t254 () (_ @t253 @t6)) % 0.45/0.65 (define @t255 () (not @t254)) % 0.45/0.65 (define @t256 () (or @t230 @t255)) % 0.45/0.65 (define @t257 () (not @t256)) % 0.45/0.65 (define @t258 () (lambda @t140 @t257)) % 0.45/0.65 (define @t259 () (not @t148)) % 0.45/0.65 (define @t260 () (lambda @t149 (not (or @t230 @t259)))) % 0.45/0.65 (define @t261 () (lambda @t66 (forall @t74 (or @t115 @t216)))) % 0.45/0.65 (define @t262 () (_ @t261 @t6)) % 0.45/0.65 (define @t263 () (not @t262)) % 0.45/0.65 (define @t264 () (or @t236 @t263)) % 0.45/0.65 (define @t265 () (not @t264)) % 0.45/0.65 (define @t266 () (lambda @t140 @t265)) % 0.45/0.65 (define @t267 () (or @t115 @t225)) % 0.45/0.65 (define @t268 () (_ @t22 @t68)) % 0.45/0.65 (define @t269 () (or @t115 @t268)) % 0.45/0.65 (define @t270 () (forall @t74 @t269)) % 0.45/0.65 (define @t271 () (lambda @t66 @t270)) % 0.45/0.65 (define @t272 () (not (tptp.a1 @t31 @t68))) % 0.45/0.65 (define @t273 () (lambda @t66 (forall @t74 (or @t272 @t216)))) % 0.45/0.65 (define @t274 () (_ @t273 @t6)) % 0.45/0.65 (define @t275 () (not @t274)) % 0.45/0.65 (define @t276 () (or @t275 @t259)) % 0.45/0.65 (define @t277 () (not @t276)) % 0.45/0.65 (define @t278 () (lambda @t149 @t277)) % 0.45/0.65 (define @t279 () (not (or @t151 @t259))) % 0.45/0.65 (define @t280 () (lambda @t47 @t279)) % 0.45/0.65 (define @t281 () (or @t272 @t225)) % 0.45/0.65 (define @t282 () (or @t272 @t268)) % 0.45/0.65 (define @t283 () (forall @t74 @t282)) % 0.45/0.65 (define @t284 () (lambda @t66 @t283)) % 0.45/0.65 (define @t285 () (lambda @t39 (forall @t74 (or @t272 @t146)))) % 0.45/0.65 (define @t286 () (_ @t156 tptp.a1)) % 0.45/0.65 (define @t287 () (_ @t280 @t22)) % 0.45/0.65 (define @t288 () (_ @t156 tptp.a3)) % 0.45/0.65 (define @t289 () (lambda @t23 (_ (_ @t288 (_ (_ @t153 (_ @t287 (_ (_ @t280 (_ @t286 @t22)) (_ @t157 @t22)))) @t21)) @t6))) % 0.45/0.65 (define @t290 () (not @t42)) % 0.45/0.65 (define @t291 () (or @t38 @t290)) % 0.45/0.65 (define @t292 () (lambda @t66 @t291)) % 0.45/0.65 (define @t293 () (_ @t292 @t31)) % 0.45/0.65 (define @t294 () (not @t293)) % 0.45/0.65 (define @t295 () (lambda @t66 @t294)) % 0.45/0.65 (define @t296 () (lambda @t66 @t290)) % 0.45/0.65 (define @t297 () (_ @t296 @t31)) % 0.45/0.65 (define @t298 () (or @t38 @t297)) % 0.45/0.65 (define @t299 () (lambda @t66 @t298)) % 0.45/0.65 (define @t300 () (tptp.likes tptp.jan tptp.cola @t68)) % 0.45/0.65 (define @t301 () (or @t272 @t300)) % 0.45/0.65 (define @t302 () (forall @t74 @t301)) % 0.45/0.65 (define @t303 () (lambda @t66 @t302)) % 0.45/0.65 (define @t304 () (_ @t303 @t31)) % 0.45/0.65 (define @t305 () (forall @t66 @t304)) % 0.45/0.65 (define @t306 () (_ @t2 @t68)) % 0.45/0.65 (define @t307 () (or @t272 @t306)) % 0.45/0.65 (define @t308 () (_ @t2 @t68)) % 0.45/0.65 (define @t309 () (or @t272 @t308)) % 0.45/0.65 (define @t310 () (forall @t74 @t309)) % 0.45/0.65 (define @t311 () (lambda @t66 @t310)) % 0.45/0.65 (define @t312 () (forall @t192 (or (not (tptp.a1 @t183 @t190)) (tptp.likes tptp.jan tptp.cola @t190)))) % 0.45/0.65 (define @t313 () (@quantifiers_skolemize @t312 0)) % 0.45/0.65 (define @t314 () (or (not (tptp.a1 @t183 @t313)) (tptp.likes tptp.jan tptp.cola @t313))) % 0.45/0.65 (define @t315 () (not @t314)) % 0.45/0.65 (define @t316 () (not @t312)) % 0.45/0.65 (define @t317 () (or @t196 @t300)) % 0.45/0.65 (define @t318 () (forall @t74 @t317)) % 0.45/0.65 (define @t319 () (lambda @t66 @t318)) % 0.45/0.65 (define @t320 () (_ @t319 @t31)) % 0.45/0.65 (define @t321 () (forall @t66 @t320)) % 0.45/0.65 (define @t322 () (or @t196 @t306)) % 0.45/0.65 (define @t323 () (or @t196 @t308)) % 0.45/0.65 (define @t324 () (forall @t74 @t323)) % 0.45/0.65 (define @t325 () (lambda @t66 @t324)) % 0.45/0.65 (define @t326 () (@var "BOUND_VARIABLE_9188" tptp.mu)) % 0.45/0.65 (define @t327 () (tptp.very_much_likes @t7 @t326 @t31)) % 0.45/0.65 (define @t328 () (tptp.very_much_likes @t7 @t326 @t68)) % 0.45/0.65 (define @t329 () (not (forall @t74 (or @t196 @t328)))) % 0.45/0.65 (define @t330 () (or @t329 @t327)) % 0.45/0.65 (define @t331 () (forall (@list @t7 @t326) @t330)) % 0.45/0.65 (define @t332 () (lambda @t66 @t331)) % 0.45/0.65 (define @t333 () (_ @t332 @t31)) % 0.45/0.65 (define @t334 () (forall @t66 @t333)) % 0.45/0.65 (define @t335 () (@list @t326)) % 0.45/0.65 (define @t336 () (forall @t335 @t330)) % 0.45/0.65 (define @t337 () (forall @t335 (or (not (forall @t74 (or @t204 @t328))) (tptp.very_much_likes @t7 @t326 @t6)))) % 0.45/0.65 (define @t338 () (lambda @t12 @t337)) % 0.45/0.65 (define @t339 () (_ @t338 @t7 @t31)) % 0.45/0.65 (define @t340 () (forall @t56 @t339)) % 0.45/0.65 (define @t341 () (lambda @t66 @t340)) % 0.45/0.65 (define @t342 () (_ (_ @t20 @t326) @t31)) % 0.45/0.65 (define @t343 () (or @t329 @t342)) % 0.45/0.65 (define @t344 () (forall @t74 (or @t204 @t218))) % 0.45/0.65 (define @t345 () (not @t344)) % 0.45/0.65 (define @t346 () (or @t345 @t231)) % 0.45/0.65 (define @t347 () (lambda @t23 @t346)) % 0.45/0.65 (define @t348 () (_ @t347 @t326 @t31)) % 0.45/0.65 (define @t349 () (forall @t335 @t348)) % 0.45/0.65 (define @t350 () (lambda @t66 @t349)) % 0.45/0.65 (define @t351 () (lambda @t140 @t346)) % 0.45/0.65 (define @t352 () (lambda @t66 (forall @t74 (or @t196 @t218)))) % 0.45/0.65 (define @t353 () (_ @t352 @t6)) % 0.45/0.65 (define @t354 () (not @t353)) % 0.45/0.65 (define @t355 () (or @t354 @t148)) % 0.45/0.65 (define @t356 () (lambda @t149 @t355)) % 0.45/0.65 (define @t357 () (or @t196 @t227)) % 0.45/0.65 (define @t358 () (_ @t21 @t68)) % 0.45/0.65 (define @t359 () (or @t196 @t358)) % 0.45/0.65 (define @t360 () (forall @t74 @t359)) % 0.45/0.65 (define @t361 () (lambda @t66 @t360)) % 0.45/0.65 (define @t362 () (lambda @t23 (_ (_ (_ @t153 (_ @t288 @t21)) @t21) @t6))) % 0.45/0.65 (define @t363 () (_ @t29 @t31)) % 0.45/0.65 (define @t364 () (_ @t29 @t31)) % 0.45/0.65 (define @t365 () (forall @t66 @t364)) % 0.45/0.65 (define @t366 () (_ @t123 @t29)) % 0.45/0.65 (define @t367 () (tptp.very_much_likes tptp.jan tptp.cola @t181)) % 0.45/0.65 (define @t368 () (not @t182)) % 0.45/0.65 (define @t369 () (or @t368 @t367)) % 0.45/0.65 (define @t370 () (@list true false)) % 0.45/0.65 (define @t371 () (tptp.a3 @t181 @t183)) % 0.45/0.65 (define @t372 () (tptp.very_much_likes tptp.jan tptp.cola @t183)) % 0.45/0.65 (define @t373 () (not @t371)) % 0.45/0.65 (define @t374 () (or @t373 @t372)) % 0.45/0.65 (define @t375 () (@list true)) % 0.45/0.65 (define @t376 () (@list @t374)) % 0.45/0.65 (define @t377 () (tptp.likes tptp.jan tptp.cola @t183)) % 0.45/0.65 (define @t378 () (or @t373 @t377)) % 0.45/0.65 (define @t379 () (@list false false)) % 0.45/0.65 (define @t380 () (not @t185)) % 0.45/0.65 (define @t381 () (not @t377)) % 0.45/0.65 (define @t382 () (or @t373 @t372 @t381 @t316 @t380)) % 0.45/0.65 (define @t383 () (tptp.likes tptp.jan tptp.cola @t186)) % 0.45/0.65 (define @t384 () (tptp.a2 @t183 @t186)) % 0.45/0.65 (define @t385 () (not @t384)) % 0.45/0.65 (define @t386 () (or @t385 @t383)) % 0.45/0.65 (define @t387 () (not @t386)) % 0.45/0.65 (define @t388 () (@list @t386)) % 0.45/0.65 (define @t389 () (tptp.likes tptp.jan tptp.pepsi @t186)) % 0.45/0.65 (define @t390 () (or @t385 @t389)) % 0.45/0.65 (define @t391 () (not @t389)) % 0.45/0.65 (define @t392 () (or @t385 @t391 @t383)) % 0.45/0.65 (define @t393 () (not @t392)) % 0.45/0.65 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.45/0.65 (assume @p2 (_ tptp.mvalid (_ @t3 @t2))) % 0.45/0.65 (assume @p3 (_ tptp.mvalid (_ @t3 @t5))) % 0.45/0.65 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t10)) @t9)) @t6))))) % 0.45/0.65 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t9)) @t10)) @t6))))) % 0.45/0.65 (assume @p6 (_ tptp.mvalid (_ @t14 @t13))) % 0.45/0.65 (assume @p7 (_ tptp.mvalid (_ @t3 (_ @t4 tptp.cola)))) % 0.45/0.65 (assume @p8 (_ tptp.mvalid (_ @t3 @t15))) % 0.45/0.65 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind @t16))) % 0.45/0.65 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t14 (_ (_ tptp.mimplies @t9) @t10)) @t6))))) % 0.45/0.65 (assume @p11 (_ tptp.mvalid (_ @t17 @t2))) % 0.45/0.65 (assume @p12 (_ tptp.mvalid (_ @t18 @t5))) % 0.45/0.65 (assume @p13 (_ tptp.mvalid (_ @t11 @t15))) % 0.45/0.65 (assume @p14 (_ tptp.mvalid (_ tptp.mforall_ind @t25))) % 0.45/0.65 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind @t27))) % 0.45/0.65 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t18 @t21)) @t22) @t6))) @t6))))) % 0.45/0.65 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t11 @t22)) @t28) @t6))) @t6))))) % 0.45/0.65 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ (_ tptp.mdia tptp.a2) @t22)) @t28) @t6))) @t6))))) % 0.45/0.65 (assume @p19 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t18 @t22)) @t28) @t6))) @t6))))) % 0.45/0.65 (assume @p20 @t30) % 0.45/0.65 (assume @p21 true) % 0.45/0.65 (step @p22 (= tptp.meq_ind @t32) :rule refl :args (@t32)) % 0.45/0.65 (step @p23 (= tptp.meq_prop @t35) :rule refl :args (@t35)) % 0.45/0.65 (step @p24 (= tptp.mnot @t40) :rule refl :args (@t40)) % 0.45/0.65 (step @p25 (= tptp.mor @t43) :rule refl :args (@t43)) % 0.45/0.65 (step @p26 (= tptp.mand @t48) :rule refl :args (@t48)) % 0.45/0.65 (step @p27 (= tptp.mimplies @t49) :rule refl :args (@t49)) % 0.45/0.65 (step @p28 (= tptp.mimplied @t50) :rule refl :args (@t50)) % 0.45/0.65 (step @p29 (= tptp.mequiv @t51) :rule refl :args (@t51)) % 0.45/0.65 (step @p30 (= tptp.mxor @t52) :rule refl :args (@t52)) % 0.45/0.65 (step @p31 (= tptp.mforall_ind @t59) :rule refl :args (@t59)) % 0.45/0.65 (step @p32 (= tptp.mforall_prop @t63) :rule refl :args (@t63)) % 0.45/0.65 (step @p33 (= tptp.mexists_ind @t64) :rule refl :args (@t64)) % 0.45/0.65 (step @p34 (= tptp.mexists_prop @t65) :rule refl :args (@t65)) % 0.45/0.65 (step @p35 (= tptp.mtrue @t67) :rule refl :args (@t67)) % 0.45/0.65 (step @p36 (= tptp.mbox @t77) :rule refl :args (@t77)) % 0.45/0.65 (step @p37 (= tptp.mdia @t78) :rule refl :args (@t78)) % 0.45/0.65 (step @p38 (= tptp.mreflexive @t83) :rule refl :args (@t83)) % 0.45/0.65 (step @p39 (= tptp.msymmetric @t87) :rule refl :args (@t87)) % 0.45/0.65 (step @p40 (= tptp.mserial @t89) :rule refl :args (@t89)) % 0.45/0.65 (step @p41 (= tptp.mtransitive @t94) :rule refl :args (@t94)) % 0.45/0.65 (step @p42 (= tptp.meuclidean @t96) :rule refl :args (@t96)) % 0.45/0.65 (step @p43 (= tptp.mpartially_functional @t98) :rule refl :args (@t98)) % 0.45/0.65 (step @p44 (= tptp.mfunctional @t100) :rule refl :args (@t100)) % 0.45/0.65 (step @p45 (= tptp.mweakly_dense @t103) :rule refl :args (@t103)) % 0.45/0.65 (step @p46 (= tptp.mweakly_connected @t104) :rule refl :args (@t104)) % 0.45/0.65 (step @p47 (= tptp.mweakly_directed @t105) :rule refl :args (@t105)) % 0.45/0.65 (step @p48 (= tptp.mvalid @t108) :rule refl :args (@t108)) % 0.45/0.65 (step @p49 (= tptp.minvalid @t109) :rule refl :args (@t109)) % 0.45/0.65 (step @p50 (= tptp.msatisfiable @t110) :rule refl :args (@t110)) % 0.45/0.65 (step @p51 (= tptp.mcountersatisfiable @t111) :rule refl :args (@t111)) % 0.45/0.65 (step @p52 :rule quant-merge-prenex :args ((= (forall @t66 @t118) @t117))) % 0.45/0.65 (step @p53 :rule beta-reduce :args ((= @t120 @t118))) % 0.45/0.65 (step @p54 :rule cong :premises (@p53) :args (@t121)) % 0.45/0.65 (step @p55 :rule trans :premises (@p54 @p52)) % 0.45/0.65 (step @p56 :rule beta-reduce :args ((= (_ @t123 @t119) @t121))) % 0.45/0.65 (step @p57 :rule trans :premises (@p56 @p55)) % 0.45/0.65 (step @p58 :rule quant-merge-prenex :args ((= (forall @t56 @t124) @t118))) % 0.45/0.65 (step @p59 :rule beta-reduce :args ((= @t128 @t124))) % 0.45/0.65 (step @p60 :rule cong :premises (@p59) :args (@t129)) % 0.45/0.65 (step @p61 :rule trans :premises (@p60 @p58)) % 0.45/0.65 (step @p62 :rule cong :premises (@p61) :args (@t130)) % 0.45/0.65 (step @p63 :rule beta-reduce :args ((= (_ @t133 @t127) @t130))) % 0.45/0.65 (step @p64 :rule trans :premises (@p63 @p62)) % 0.45/0.65 (step @p65 :rule beta-reduce :args ((= (_ (lambda @t66 @t124) @t6) @t126))) % 0.45/0.65 (step @p66 :rule refl :args (@t6)) % 0.45/0.65 (step @p67 :rule refl :args (@t112)) % 0.45/0.65 (step @p68 :rule refl :args (@t134)) % 0.45/0.65 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t134 @t112))) % 0.45/0.65 (step @p70 :rule symm :premises (@p69)) % 0.45/0.65 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.45/0.65 (step @p72 :rule refl :args (@t113)) % 0.45/0.65 (step @p73 :rule refl :args (@t135)) % 0.45/0.65 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t135 @t113))) % 0.45/0.65 (step @p75 :rule symm :premises (@p74)) % 0.45/0.65 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.45/0.65 (step @p77 :rule cong :premises (@p76) :args (@t136)) % 0.45/0.65 (step @p78 :rule refl :args (@t115)) % 0.45/0.65 (step @p79 :rule nary_cong :premises (@p78 @p77 @p71) :args (@t137)) % 0.45/0.65 (step @p80 :rule cong :premises (@p79) :args ((forall @t74 @t137))) % 0.45/0.65 (step @p81 :rule aci_norm :args ((= (or @t115 @t138) @t137))) % 0.45/0.65 (step @p82 :rule beta-reduce :args ((= @t142 @t138))) % 0.45/0.65 (step @p83 :rule refl :args (@t115)) % 0.45/0.65 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t143)) % 0.45/0.65 (step @p85 :rule trans :premises (@p84 @p81)) % 0.45/0.65 (step @p86 :rule cong :premises (@p85) :args (@t144)) % 0.45/0.65 (step @p87 :rule trans :premises (@p86 @p80)) % 0.45/0.65 (step @p88 :rule cong :premises (@p87) :args (@t145)) % 0.45/0.65 (step @p89 :rule beta-reduce :args ((= (_ @t147 @t141) @t145))) % 0.45/0.65 (step @p90 :rule trans :premises (@p89 @p88)) % 0.45/0.65 (step @p91 :rule beta-reduce :args ((= (_ @t150 @t9) @t141))) % 0.45/0.65 (step @p92 :rule refl :args (@t9)) % 0.45/0.65 (step @p93 :rule beta-reduce :args ((= @t154 @t150))) % 0.45/0.65 (step @p94 :rule ho_cong :premises (@p93 @p92)) % 0.45/0.65 (step @p95 :rule trans :premises (@p94 @p91)) % 0.45/0.65 (step @p96 :rule beta-reduce :args ((= @t157 @t147))) % 0.45/0.65 (step @p97 :rule ho_cong :premises (@p96 @p95)) % 0.45/0.65 (step @p98 :rule trans :premises (@p97 @p90)) % 0.45/0.65 (step @p99 :rule ho_cong :premises (@p98 @p66)) % 0.45/0.65 (step @p100 :rule trans :premises (@p99 @p65)) % 0.45/0.65 (step @p101 :rule cong :premises (@p100) :args ((lambda @t12 (_ (_ @t157 (_ @t154 @t9)) @t6)))) % 0.45/0.65 (step @p102 :rule refl :args (@t133)) % 0.45/0.65 (step @p103 :rule ho_cong :premises (@p102 @p101)) % 0.45/0.65 (step @p104 :rule trans :premises (@p103 @p64)) % 0.45/0.65 (step @p105 :rule refl :args (@t123)) % 0.45/0.65 (step @p106 :rule ho_cong :premises (@p105 @p104)) % 0.45/0.65 (step @p107 :rule trans :premises (@p106 @p57)) % 0.45/0.65 (step @p108 :rule refl :args (@t10)) % 0.45/0.65 (step @p109 :rule beta-reduce :args ((= (_ @t159 @t6) @t152))) % 0.45/0.65 (step @p110 :rule beta-reduce :args ((= (_ @t161 @t41) @t159))) % 0.45/0.65 (step @p111 :rule refl :args (@t41)) % 0.45/0.65 (step @p112 :rule refl :args (@t42)) % 0.45/0.65 (step @p113 :rule beta-reduce :args ((= @t163 @t38))) % 0.45/0.65 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t164)) % 0.45/0.65 (step @p115 :rule cong :premises (@p114) :args (@t165)) % 0.45/0.65 (step @p116 :rule beta-reduce :args ((= (_ @t43 @t162) @t165))) % 0.45/0.65 (step @p117 :rule trans :premises (@p116 @p115)) % 0.45/0.65 (step @p118 :rule beta-reduce :args ((= (_ @t40 @t36) @t162))) % 0.45/0.65 (step @p119 :rule refl :args (@t43)) % 0.45/0.65 (step @p120 :rule ho_cong :premises (@p119 @p118)) % 0.45/0.65 (step @p121 :rule trans :premises (@p120 @p117)) % 0.45/0.65 (step @p122 :rule ho_cong :premises (@p121 @p111)) % 0.45/0.65 (step @p123 :rule trans :premises (@p122 @p110)) % 0.45/0.65 (step @p124 :rule ho_cong :premises (@p123 @p66)) % 0.45/0.65 (step @p125 :rule trans :premises (@p124 @p109)) % 0.45/0.65 (step @p126 :rule refl :args (@t36)) % 0.45/0.65 (step @p127 :rule ho_cong :premises (@p24 @p126)) % 0.45/0.65 (step @p128 :rule ho_cong :premises (@p25 @p127)) % 0.45/0.65 (step @p129 :rule ho_cong :premises (@p128 @p111)) % 0.45/0.65 (step @p130 :rule ho_cong :premises (@p129 @p66)) % 0.45/0.65 (step @p131 :rule trans :premises (@p130 @p125)) % 0.45/0.65 (step @p132 :rule cong :premises (@p131) :args (@t49)) % 0.45/0.65 (step @p133 :rule trans :premises (@p27 @p132)) % 0.45/0.65 (step @p134 :rule ho_cong :premises (@p133 @p108)) % 0.45/0.65 (step @p135 :rule ho_cong :premises (@p134 @p92)) % 0.45/0.65 (step @p136 :rule refl :args (tptp.a2)) % 0.45/0.65 (step @p137 :rule refl :args (@t146)) % 0.45/0.65 (step @p138 :rule refl :args (@t69)) % 0.45/0.65 (step @p139 :rule cong :premises (@p138 @p137) :args ((= @t69 @t146))) % 0.45/0.65 (step @p140 :rule symm :premises (@p139)) % 0.45/0.65 (step @p141 :rule eq_resolve :premises (@p138 @p140)) % 0.45/0.65 (step @p142 :rule refl :args (@t155)) % 0.45/0.65 (step @p143 :rule refl :args (@t71)) % 0.45/0.65 (step @p144 :rule cong :premises (@p143 @p142) :args ((= @t71 @t155))) % 0.45/0.65 (step @p145 :rule symm :premises (@p144)) % 0.45/0.65 (step @p146 :rule eq_resolve :premises (@p143 @p145)) % 0.45/0.65 (step @p147 :rule cong :premises (@p146) :args (@t72)) % 0.45/0.65 (step @p148 :rule nary_cong :premises (@p147 @p141) :args (@t73)) % 0.45/0.65 (step @p149 :rule cong :premises (@p148) :args (@t75)) % 0.45/0.65 (step @p150 :rule cong :premises (@p149) :args (@t77)) % 0.45/0.65 (step @p151 :rule trans :premises (@p36 @p150)) % 0.45/0.65 (step @p152 :rule ho_cong :premises (@p151 @p136)) % 0.45/0.65 (step @p153 :rule ho_cong :premises (@p152 @p135)) % 0.45/0.65 (step @p154 :rule ho_cong :premises (@p153 @p66)) % 0.45/0.65 (step @p155 :rule cong :premises (@p154) :args (@t16)) % 0.45/0.65 (step @p156 :rule refl :args (@t131)) % 0.45/0.65 (step @p157 :rule refl :args (@t55)) % 0.45/0.65 (step @p158 :rule cong :premises (@p157 @p156) :args ((= @t55 @t131))) % 0.45/0.65 (step @p159 :rule symm :premises (@p158)) % 0.45/0.65 (step @p160 :rule eq_resolve :premises (@p157 @p159)) % 0.45/0.65 (step @p161 :rule cong :premises (@p160) :args (@t57)) % 0.45/0.65 (step @p162 :rule cong :premises (@p161) :args (@t59)) % 0.45/0.65 (step @p163 :rule trans :premises (@p31 @p162)) % 0.45/0.65 (step @p164 :rule ho_cong :premises (@p163 @p155)) % 0.45/0.65 (step @p165 :rule refl :args (@t122)) % 0.45/0.65 (step @p166 :rule refl :args (@t37)) % 0.45/0.65 (step @p167 :rule cong :premises (@p166 @p165) :args ((= @t37 @t122))) % 0.45/0.65 (step @p168 :rule symm :premises (@p167)) % 0.45/0.65 (step @p169 :rule eq_resolve :premises (@p166 @p168)) % 0.45/0.65 (step @p170 :rule cong :premises (@p169) :args (@t106)) % 0.45/0.65 (step @p171 :rule cong :premises (@p170) :args (@t108)) % 0.45/0.65 (step @p172 :rule trans :premises (@p48 @p171)) % 0.45/0.65 (step @p173 :rule ho_cong :premises (@p172 @p164)) % 0.45/0.65 (step @p174 :rule trans :premises (@p173 @p107)) % 0.45/0.65 (step @p175 :rule eq_resolve :premises (@p9 @p174)) % 0.45/0.65 (step @p176 :rule quant-merge-prenex :args ((= (forall @t66 @t169) (forall @t168 @t167)))) % 0.45/0.65 (step @p177 :rule beta-reduce :args ((= @t171 @t169))) % 0.45/0.65 (step @p178 :rule cong :premises (@p177) :args (@t172)) % 0.45/0.65 (step @p179 :rule trans :premises (@p178 @p176)) % 0.45/0.65 (step @p180 :rule beta-reduce :args ((= (_ @t123 @t170) @t172))) % 0.45/0.65 (step @p181 :rule trans :premises (@p180 @p179)) % 0.45/0.65 (step @p182 :rule refl :args (@t166)) % 0.45/0.65 (step @p183 :rule refl :args (@t173)) % 0.45/0.65 (step @p184 :rule cong :premises (@p183 @p182) :args ((= @t173 @t166))) % 0.45/0.65 (step @p185 :rule symm :premises (@p184)) 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(step @p201 :rule ho_cong :premises (@p152 @p196)) % 0.45/0.65 (step @p202 :rule ho_cong :premises (@p172 @p201)) % 0.45/0.65 (step @p203 :rule trans :premises (@p202 @p200)) % 0.45/0.65 (step @p204 :rule eq_resolve :premises (@p6 @p203)) % 0.45/0.65 (step @p205 :rule instantiate :premises (@p204) :args ((@list @t183 @t186))) % 0.45/0.65 (step @p206 :rule quant-merge-prenex :args ((= (forall @t66 @t198) (forall (@list @t31 @t7 @t187 @t68) @t197)))) % 0.45/0.65 (step @p207 :rule beta-reduce :args ((= @t200 @t198))) % 0.45/0.65 (step @p208 :rule cong :premises (@p207) :args (@t201)) % 0.45/0.65 (step @p209 :rule trans :premises (@p208 @p206)) % 0.45/0.65 (step @p210 :rule beta-reduce :args ((= (_ @t123 @t199) @t201))) % 0.45/0.65 (step @p211 :rule trans :premises (@p210 @p209)) % 0.45/0.65 (step @p212 :rule quant-merge-prenex :args ((= (forall @t56 @t203) @t198))) % 0.45/0.65 (step @p213 :rule beta-reduce :args ((= @t207 @t203))) % 0.45/0.65 (step @p214 :rule cong :premises (@p213) :args 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:rule eq_resolve :premises (@p583 @p582)) % 0.45/0.65 (step @p585 :rule reordering :premises (@p584) :args ((or @t371 @t374))) % 0.45/0.65 (step @p586 :rule chain_m_resolution :premises (@p585 @p579) :args (@t371 @t375 @t376)) % 0.45/0.65 (step @p587 :rule cnf_or_pos :args (@t378)) % 0.45/0.65 (step @p588 :rule reordering :premises (@p587) :args ((or @t373 @t377 (not @t378)))) % 0.45/0.65 (step @p589 :rule chain_m_resolution :premises (@p588 @p586 @p476) :args (@t377 @t379 (@list @t371 @t378))) % 0.45/0.65 (step @p590 :rule cnf_or_neg :args (@t374 1)) % 0.45/0.65 (step @p591 :rule chain_m_resolution :premises (@p590 @p579) :args ((not @t372) @t375 @t376)) % 0.45/0.65 (step @p592 :rule cnf_or_pos :args (@t382)) % 0.45/0.65 (step @p593 :rule reordering :premises (@p592) :args ((or @t373 @t372 @t381 @t316 @t380 (not @t382)))) % 0.45/0.65 (step @p594 :rule chain_m_resolution :premises (@p593 @p586 @p591 @p589 @p453 @p413) :args (@t380 (@list false true false false false) (@list @t371 @t372 @t377 @t312 @t382))) % 0.45/0.65 (step @p595 :rule refl :args (@t387)) % 0.45/0.65 (step @p596 :rule bool-double-not-elim :args (@t185)) % 0.45/0.65 (step @p597 :rule nary_cong :premises (@p596 @p595) :args ((or (not @t380) @t387))) % 0.45/0.65 (assume-push @p628 @t380) % 0.45/0.65 (step @p599 :rule skolemize :premises (@p628)) % 0.45/0.65 (step-pop @p629 :rule scope :premises (@p599)) % 0.45/0.65 (step @p600 :rule process_scope :premises (@p629) :args (@t387)) % 0.45/0.65 (step @p602 :rule implies_elim :premises (@p600)) % 0.45/0.65 (step @p603 :rule eq_resolve :premises (@p602 @p597)) % 0.45/0.65 (step @p604 :rule chain_m_resolution :premises (@p603 @p594) :args (@t387 @t375 (@list @t185))) % 0.45/0.65 (step @p605 :rule bool-double-not-elim :args (@t384)) % 0.45/0.65 (step @p606 :rule refl :args (@t386)) % 0.45/0.65 (step @p607 :rule nary_cong :premises (@p606 @p605) :args ((or @t386 (not @t385)))) % 0.45/0.65 (step @p608 :rule cnf_or_neg :args (@t386 0)) % 0.45/0.65 (step @p609 :rule eq_resolve :premises (@p608 @p607)) % 0.45/0.65 (step @p610 :rule reordering :premises (@p609) :args ((or @t384 @t386))) % 0.45/0.65 (step @p611 :rule chain_m_resolution :premises (@p610 @p604) :args (@t384 @t375 @t388)) % 0.45/0.65 (step @p612 :rule cnf_or_pos :args (@t390)) % 0.45/0.65 (step @p613 :rule reordering :premises (@p612) :args ((or @t385 @t389 (not @t390)))) % 0.45/0.65 (step @p614 :rule chain_m_resolution :premises (@p613 @p611 @p205) :args (@t389 @t379 (@list @t384 @t390))) % 0.45/0.65 (step @p615 :rule cnf_or_neg :args (@t386 1)) % 0.45/0.65 (step @p616 :rule chain_m_resolution :premises (@p615 @p604) :args ((not @t383) @t375 @t388)) % 0.45/0.65 (step @p617 :rule cnf_or_pos :args (@t392)) % 0.45/0.65 (step @p618 :rule reordering :premises (@p617) :args ((or @t385 @t383 @t391 @t393))) % 0.45/0.65 (step @p619 :rule chain_m_resolution :premises (@p618 @p611 @p616 @p614) :args (@t393 (@list false true false) (@list @t384 @t383 @t389))) % 0.45/0.65 (assume-push @p630 @t117) % 0.45/0.65 (step @p621 :rule instantiate :premises (@p175) :args ((@list @t183 tptp.jan @t186))) % 0.45/0.65 (step-pop @p631 :rule scope :premises (@p621)) % 0.45/0.65 (step @p622 :rule process_scope :premises (@p631) :args (@t392)) % 0.45/0.65 (step @p624 :rule implies_elim :premises (@p622)) % 0.45/0.65 (step @p625 false :rule chain_m_resolution :premises (@p624 @p619 @p175) :args (false @t370 (@list @t392 @t117))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------