%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : AGT041^1 : 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 08:04:49 AM UTC 2026 % Result : Theorem 0.53s 0.74s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : AGT041^1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:35:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.49 %----Proving TH0 % 0.53/0.74 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.53/0.74 % SZS status Theorem % 0.53/0.74 % SZS output start Proof % 0.53/0.74 ( % 0.53/0.74 (declare-sort $$unsorted 0) % 0.53/0.74 (declare-sort tptp.mu 0) % 0.53/0.74 (declare-const tptp.possibly_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.very_much_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.beer tptp.mu) % 0.53/0.74 (declare-const tptp.cola tptp.mu) % 0.53/0.74 (declare-const tptp.jan tptp.mu) % 0.53/0.74 (declare-const tptp.likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.a1 (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.pepsi tptp.mu) % 0.53/0.74 (declare-const tptp.piotr tptp.mu) % 0.53/0.74 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.a2 (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.a3 (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.53/0.74 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.53/0.74 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.53/0.74 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.53/0.74 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.53/0.74 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.53/0.74 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.53/0.74 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.53/0.74 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.53/0.74 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.53/0.74 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.53/0.74 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.53/0.74 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.53/0.74 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.53/0.74 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.53/0.74 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.53/0.74 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.53/0.74 (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)))))))) % 0.53/0.74 (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)))))))) % 0.53/0.74 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.53/0.74 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.53/0.74 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.53/0.74 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.53/0.74 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.53/0.74 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.53/0.74 (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))))))))))))) % 0.53/0.74 (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)))))) % 0.53/0.74 (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))))))) % 0.53/0.74 (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)))))) % 0.53/0.74 (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))))))) % 0.53/0.74 (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))))))))) % 0.53/0.74 (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 $$unsorted Bool)))) (lambda (@list _let_5 _let_3) (forall (@list _let_2 _let_4 _let_1) (=> (and (_ (_ _let_5 _let_2) _let_4) (_ (_ _let_3 _let_4) _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.53/0.74 (define @t1 () (_ tptp.likes tptp.jan)) % 0.53/0.74 (define @t2 () (_ @t1 tptp.cola)) % 0.53/0.74 (define @t3 () (_ tptp.mbox tptp.a1)) % 0.53/0.74 (define @t4 () (_ tptp.likes tptp.piotr)) % 0.53/0.74 (define @t5 () (_ @t4 tptp.pepsi)) % 0.53/0.74 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 0.53/0.74 (define @t7 () (@var "X" tptp.mu)) % 0.53/0.74 (define @t8 () (_ tptp.likes @t7)) % 0.53/0.74 (define @t9 () (_ @t8 tptp.cola)) % 0.53/0.74 (define @t10 () (_ @t8 tptp.pepsi)) % 0.53/0.74 (define @t11 () (_ tptp.mdia tptp.a1)) % 0.53/0.74 (define @t12 () (@list @t7 @t6)) % 0.53/0.74 (define @t13 () (_ tptp.mbox tptp.a2)) % 0.53/0.74 (define @t14 () (_ @t4 tptp.beer)) % 0.53/0.74 (define @t15 () (_ tptp.mbox tptp.a3)) % 0.53/0.74 (define @t16 () (_ tptp.mdia tptp.a3)) % 0.53/0.74 (define @t17 () (@var "Y" tptp.mu)) % 0.53/0.74 (define @t18 () (_ (_ tptp.very_much_likes @t7) @t17)) % 0.53/0.74 (define @t19 () (_ @t8 @t17)) % 0.53/0.74 (define @t20 () (@list @t17 @t6)) % 0.53/0.74 (define @t21 () (_ tptp.possibly_likes @t7)) % 0.53/0.74 (define @t22 () (_ @t21 @t17)) % 0.53/0.74 (define @t23 () (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t11 @t19)) @t22) @t6))) % 0.53/0.74 (define @t24 () (lambda @t12 (_ (_ tptp.mforall_ind @t23) @t6))) % 0.53/0.74 (define @t25 () (_ tptp.subrel tptp.a1)) % 0.53/0.74 (define @t26 () (_ tptp.cond4s tptp.a1)) % 0.53/0.74 (define @t27 () (_ tptp.cond4s tptp.a2)) % 0.53/0.74 (define @t28 () (_ (_ tptp.possibly_likes tptp.piotr) tptp.beer)) % 0.53/0.74 (define @t29 () (not (_ tptp.mvalid @t28))) % 0.53/0.74 (define @t30 () (@var "W" $$unsorted)) % 0.53/0.74 (define @t31 () (lambda (@list @t7 @t17 @t30) (= @t7 @t17))) % 0.53/0.74 (define @t32 () (@var "Y" (-> $$unsorted Bool))) % 0.53/0.74 (define @t33 () (@var "X" (-> $$unsorted Bool))) % 0.53/0.74 (define @t34 () (lambda (@list @t33 @t32 @t30) (= (_ @t33 @t30) (_ @t32 @t30)))) % 0.53/0.74 (define @t35 () (@var "Phi" (-> $$unsorted Bool))) % 0.53/0.74 (define @t36 () (_ @t35 @t30)) % 0.53/0.74 (define @t37 () (not @t36)) % 0.53/0.74 (define @t38 () (@list @t35 @t30)) % 0.53/0.74 (define @t39 () (lambda @t38 @t37)) % 0.53/0.74 (define @t40 () (@var "Psi" (-> $$unsorted Bool))) % 0.53/0.74 (define @t41 () (_ @t40 @t30)) % 0.53/0.74 (define @t42 () (lambda (@list @t35 @t40 @t30) (or @t36 @t41))) % 0.53/0.74 (define @t43 () (_ tptp.mnot @t40)) % 0.53/0.74 (define @t44 () (_ tptp.mnot @t35)) % 0.53/0.74 (define @t45 () (_ tptp.mor @t44)) % 0.53/0.74 (define @t46 () (@list @t35 @t40 @t6)) % 0.53/0.74 (define @t47 () (lambda @t46 (_ (_ tptp.mnot (_ @t45 @t43)) @t6))) % 0.53/0.74 (define @t48 () (lambda @t46 (_ (_ @t45 @t40) @t6))) % 0.53/0.74 (define @t49 () (lambda @t46 (_ (_ (_ tptp.mor @t43) @t35) @t6))) % 0.53/0.74 (define @t50 () (lambda @t46 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t35) @t40)) (_ (_ tptp.mimplies @t40) @t35)) @t6))) % 0.53/0.74 (define @t51 () (lambda @t46 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t35) @t40)) @t6))) % 0.53/0.74 (define @t52 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.53/0.74 (define @t53 () (_ @t52 @t7)) % 0.53/0.74 (define @t54 () (_ @t53 @t30)) % 0.53/0.74 (define @t55 () (@list @t7)) % 0.53/0.74 (define @t56 () (forall @t55 @t54)) % 0.53/0.74 (define @t57 () (@list @t52 @t30)) % 0.53/0.74 (define @t58 () (lambda @t57 @t56)) % 0.53/0.74 (define @t59 () (@var "P" (-> $$unsorted Bool))) % 0.53/0.74 (define @t60 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.53/0.74 (define @t61 () (_ @t60 @t59)) % 0.53/0.74 (define @t62 () (lambda (@list @t60 @t30) (forall (@list @t59) (_ @t61 @t30)))) % 0.53/0.74 (define @t63 () (lambda (@list @t52 @t6) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mnot @t53) @t6)))) @t6))) % 0.53/0.74 (define @t64 () (lambda (@list @t60 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t59 @t6) (_ (_ tptp.mnot @t61) @t6)))) @t6))) % 0.53/0.74 (define @t65 () (@list @t30)) % 0.53/0.74 (define @t66 () (lambda @t65 true)) % 0.53/0.74 (define @t67 () (@var "V" $$unsorted)) % 0.53/0.74 (define @t68 () (_ @t35 @t67)) % 0.53/0.74 (define @t69 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.53/0.74 (define @t70 () (_ (_ @t69 @t30) @t67)) % 0.53/0.74 (define @t71 () (not @t70)) % 0.53/0.74 (define @t72 () (or @t71 @t68)) % 0.53/0.74 (define @t73 () (@list @t67)) % 0.53/0.74 (define @t74 () (forall @t73 @t72)) % 0.53/0.74 (define @t75 () (@list @t69 @t35 @t30)) % 0.53/0.74 (define @t76 () (lambda @t75 @t74)) % 0.53/0.74 (define @t77 () (@list @t69 @t35 @t6)) % 0.53/0.74 (define @t78 () (lambda @t77 (_ (_ tptp.mnot (_ (_ tptp.mbox @t69) @t44)) @t6))) % 0.53/0.74 (define @t79 () (@var "S" $$unsorted)) % 0.53/0.74 (define @t80 () (_ @t69 @t79)) % 0.53/0.74 (define @t81 () (@list @t79)) % 0.53/0.74 (define @t82 () (@list @t69)) % 0.53/0.74 (define @t83 () (lambda @t82 (forall @t81 (_ @t80 @t79)))) % 0.53/0.74 (define @t84 () (@var "T" $$unsorted)) % 0.53/0.74 (define @t85 () (_ @t69 @t84)) % 0.53/0.74 (define @t86 () (_ @t80 @t84)) % 0.53/0.74 (define @t87 () (lambda @t82 (forall (@list @t79 @t84) (=> @t86 (_ @t85 @t79))))) % 0.53/0.74 (define @t88 () (@list @t84)) % 0.53/0.74 (define @t89 () (lambda @t82 (forall @t81 (exists @t88 @t86)))) % 0.53/0.74 (define @t90 () (@var "U" $$unsorted)) % 0.53/0.74 (define @t91 () (_ @t80 @t90)) % 0.53/0.74 (define @t92 () (_ @t85 @t90)) % 0.53/0.74 (define @t93 () (@list @t79 @t84 @t90)) % 0.53/0.74 (define @t94 () (lambda @t82 (forall @t93 (=> (and @t86 @t92) @t91)))) % 0.53/0.74 (define @t95 () (and @t86 @t91)) % 0.53/0.74 (define @t96 () (lambda @t82 (forall @t93 (=> @t95 @t92)))) % 0.53/0.74 (define @t97 () (= @t84 @t90)) % 0.53/0.74 (define @t98 () (lambda @t82 (forall @t93 (=> @t95 @t97)))) % 0.53/0.74 (define @t99 () (@list @t90)) % 0.53/0.74 (define @t100 () (lambda @t82 (forall @t81 (exists @t88 (and @t86 (forall @t99 (=> @t91 @t97))))))) % 0.53/0.74 (define @t101 () (_ @t69 @t90)) % 0.53/0.74 (define @t102 () (_ @t101 @t84)) % 0.53/0.74 (define @t103 () (lambda @t82 (forall @t93 (=> @t86 (exists @t99 (and @t91 @t102)))))) % 0.53/0.74 (define @t104 () (lambda @t82 (forall @t93 (=> @t95 (or @t92 @t97 @t102))))) % 0.53/0.74 (define @t105 () (lambda @t82 (forall @t93 (=> @t95 (exists @t73 (and (_ @t85 @t67) (_ @t101 @t67))))))) % 0.53/0.74 (define @t106 () (forall @t65 @t36)) % 0.53/0.74 (define @t107 () (@list @t35)) % 0.53/0.74 (define @t108 () (lambda @t107 @t106)) % 0.53/0.74 (define @t109 () (lambda @t107 (forall @t65 @t37))) % 0.53/0.74 (define @t110 () (lambda @t107 (exists @t65 @t36))) % 0.53/0.74 (define @t111 () (lambda @t107 (exists @t65 @t37))) % 0.53/0.74 (define @t112 () (@var "Y" $$unsorted)) % 0.53/0.74 (define @t113 () (@var "X" $$unsorted)) % 0.53/0.74 (define @t114 () (@var "R2" (-> $$unsorted $$unsorted Bool))) % 0.53/0.74 (define @t115 () (@var "R1" (-> $$unsorted $$unsorted Bool))) % 0.53/0.74 (define @t116 () (@list @t115 @t114)) % 0.53/0.74 (define @t117 () (lambda @t116 (forall (@list @t113 @t112) (=> (_ (_ @t115 @t113) @t112) (_ (_ @t114 @t113) @t112))))) % 0.53/0.74 (define @t118 () (lambda @t116 (forall (@list @t90 @t67 @t30) (=> (and (_ (_ @t115 @t90) @t67) (_ (_ @t114 @t67) @t30)) (_ (_ @t114 @t90) @t30))))) % 0.53/0.74 (define @t119 () (@var "BOUND_VARIABLE_9482" $$unsorted)) % 0.53/0.74 (define @t120 () (@var "BOUND_VARIABLE_9460" tptp.mu)) % 0.53/0.74 (define @t121 () (not (tptp.likes @t7 @t120 @t119))) % 0.53/0.74 (define @t122 () (not (tptp.a1 @t30 @t119))) % 0.53/0.74 (define @t123 () (tptp.possibly_likes @t7 @t120 @t30)) % 0.53/0.74 (define @t124 () (or @t123 @t122 @t121)) % 0.53/0.74 (define @t125 () (forall (@list @t30 @t7 @t120 @t119) @t124)) % 0.53/0.74 (define @t126 () (forall (@list @t7 @t120 @t119) @t124)) % 0.53/0.74 (define @t127 () (lambda @t65 @t126)) % 0.53/0.74 (define @t128 () (_ @t127 @t30)) % 0.53/0.74 (define @t129 () (forall @t65 @t128)) % 0.53/0.74 (define @t130 () (_ @t35 @t30)) % 0.53/0.74 (define @t131 () (lambda @t107 (forall @t65 @t130))) % 0.53/0.74 (define @t132 () (@list @t120 @t119)) % 0.53/0.74 (define @t133 () (forall @t132 @t124)) % 0.53/0.74 (define @t134 () (forall @t132 (or (tptp.possibly_likes @t7 @t120 @t6) (not (tptp.a1 @t6 @t119)) @t121))) % 0.53/0.74 (define @t135 () (lambda @t12 @t134)) % 0.53/0.74 (define @t136 () (_ @t135 @t7 @t30)) % 0.53/0.74 (define @t137 () (forall @t55 @t136)) % 0.53/0.74 (define @t138 () (lambda @t65 @t137)) % 0.53/0.74 (define @t139 () (_ @t52 @t7 @t30)) % 0.53/0.74 (define @t140 () (forall @t55 @t139)) % 0.53/0.74 (define @t141 () (lambda @t57 @t140)) % 0.53/0.74 (define @t142 () (or @t122 @t121)) % 0.53/0.74 (define @t143 () (or @t142 @t123)) % 0.53/0.74 (define @t144 () (forall @t132 @t143)) % 0.53/0.74 (define @t145 () (@list @t119)) % 0.53/0.74 (define @t146 () (forall @t145 @t143)) % 0.53/0.74 (define @t147 () (@list @t120)) % 0.53/0.74 (define @t148 () (forall @t145 @t142)) % 0.53/0.74 (define @t149 () (or @t148 @t123)) % 0.53/0.74 (define @t150 () (not (tptp.a1 @t30 @t67))) % 0.53/0.74 (define @t151 () (forall @t73 (or @t150 (not (tptp.likes @t7 @t120 @t67))))) % 0.53/0.74 (define @t152 () (_ (_ @t21 @t120) @t30)) % 0.53/0.74 (define @t153 () (or @t151 @t152)) % 0.53/0.74 (define @t154 () (tptp.likes @t7 @t17 @t67)) % 0.53/0.74 (define @t155 () (not (tptp.a1 @t6 @t67))) % 0.53/0.74 (define @t156 () (forall @t73 (or @t155 (not @t154)))) % 0.53/0.74 (define @t157 () (or @t156 (_ @t22 @t6))) % 0.53/0.74 (define @t158 () (lambda @t20 @t157)) % 0.53/0.74 (define @t159 () (_ @t158 @t120 @t30)) % 0.53/0.74 (define @t160 () (forall @t147 @t159)) % 0.53/0.74 (define @t161 () (lambda @t65 @t160)) % 0.53/0.74 (define @t162 () (@list @t6)) % 0.53/0.74 (define @t163 () (lambda @t162 @t157)) % 0.53/0.74 (define @t164 () (_ @t40 @t6)) % 0.53/0.74 (define @t165 () (@list @t40 @t6)) % 0.53/0.74 (define @t166 () (not @t156)) % 0.53/0.74 (define @t167 () (lambda @t162 @t166)) % 0.53/0.74 (define @t168 () (_ @t167 @t6)) % 0.53/0.74 (define @t169 () (not @t168)) % 0.53/0.74 (define @t170 () (or @t169 @t164)) % 0.53/0.74 (define @t171 () (lambda @t165 @t170)) % 0.53/0.74 (define @t172 () (or (not (_ @t35 @t6)) @t164)) % 0.53/0.74 (define @t173 () (lambda @t46 @t172)) % 0.53/0.74 (define @t174 () (_ @t19 @t67)) % 0.53/0.74 (define @t175 () (not @t174)) % 0.53/0.74 (define @t176 () (or @t155 @t175)) % 0.53/0.74 (define @t177 () (_ @t19 @t67)) % 0.53/0.74 (define @t178 () (not @t177)) % 0.53/0.74 (define @t179 () (or @t155 @t178)) % 0.53/0.74 (define @t180 () (forall @t73 @t179)) % 0.53/0.74 (define @t181 () (not @t180)) % 0.53/0.74 (define @t182 () (lambda @t162 @t181)) % 0.53/0.74 (define @t183 () (_ @t35 @t67)) % 0.53/0.74 (define @t184 () (not @t183)) % 0.53/0.74 (define @t185 () (lambda (@list @t35 @t6) (not (forall @t73 (or @t155 @t184))))) % 0.53/0.74 (define @t186 () (not (forall @t73 (or (not (_ @t69 @t6 @t67)) @t184)))) % 0.53/0.74 (define @t187 () (_ (lambda @t77 @t186) tptp.a1)) % 0.53/0.74 (define @t188 () (lambda @t20 (_ (_ (_ @t173 (_ @t187 @t19)) @t22) @t6))) % 0.53/0.74 (define @t189 () (_ @t69 @t30 @t67)) % 0.53/0.74 (define @t190 () (not @t189)) % 0.53/0.74 (define @t191 () (forall @t73 (or @t190 @t184))) % 0.53/0.74 (define @t192 () (lambda @t65 @t191)) % 0.53/0.74 (define @t193 () (_ @t192 @t30)) % 0.53/0.74 (define @t194 () (not @t193)) % 0.53/0.74 (define @t195 () (lambda @t65 @t194)) % 0.53/0.74 (define @t196 () (not @t68)) % 0.53/0.74 (define @t197 () (or @t190 @t196)) % 0.53/0.74 (define @t198 () (lambda @t65 @t37)) % 0.53/0.74 (define @t199 () (_ @t198 @t67)) % 0.53/0.74 (define @t200 () (or @t190 @t199)) % 0.53/0.74 (define @t201 () (forall @t73 @t200)) % 0.53/0.74 (define @t202 () (lambda @t65 @t201)) % 0.53/0.74 (define @t203 () (forall @t73 (or @t190 @t183))) % 0.53/0.74 (define @t204 () (lambda @t38 @t203)) % 0.53/0.74 (define @t205 () (or @t37 @t41)) % 0.53/0.74 (define @t206 () (lambda @t65 @t205)) % 0.53/0.74 (define @t207 () (@list @t40 @t30)) % 0.53/0.74 (define @t208 () (_ @t198 @t30)) % 0.53/0.74 (define @t209 () (or @t208 @t41)) % 0.53/0.74 (define @t210 () (lambda @t207 @t209)) % 0.53/0.74 (define @t211 () (tptp.likes tptp.piotr tptp.beer @t67)) % 0.53/0.74 (define @t212 () (not @t211)) % 0.53/0.74 (define @t213 () (lambda @t162 (not (forall @t73 (or @t155 @t212))))) % 0.53/0.74 (define @t214 () (_ @t213 @t30)) % 0.53/0.74 (define @t215 () (forall @t65 @t214)) % 0.53/0.74 (define @t216 () (_ @t14 @t67)) % 0.53/0.74 (define @t217 () (not @t216)) % 0.53/0.74 (define @t218 () (or @t155 @t217)) % 0.53/0.74 (define @t219 () (_ @t14 @t67)) % 0.53/0.74 (define @t220 () (not @t219)) % 0.53/0.74 (define @t221 () (or @t155 @t220)) % 0.53/0.74 (define @t222 () (forall @t73 @t221)) % 0.53/0.74 (define @t223 () (not @t222)) % 0.53/0.74 (define @t224 () (lambda @t162 @t223)) % 0.53/0.74 (define @t225 () (tptp.possibly_likes tptp.piotr tptp.beer @t30)) % 0.53/0.74 (define @t226 () (@quantifiers_skolemize (forall @t65 @t225) 0)) % 0.53/0.74 (define @t227 () (@quantifiers_skolemize (forall @t73 (or (not (tptp.a1 @t226 @t67)) @t212)) 0)) % 0.53/0.74 (define @t228 () (tptp.likes tptp.piotr tptp.beer @t227)) % 0.53/0.74 (define @t229 () (not @t228)) % 0.53/0.74 (define @t230 () (tptp.a1 @t226 @t227)) % 0.53/0.74 (define @t231 () (not @t230)) % 0.53/0.74 (define @t232 () (or @t231 @t229)) % 0.53/0.74 (define @t233 () (@list true)) % 0.53/0.74 (define @t234 () (@list @t232)) % 0.53/0.74 (define @t235 () (_ @t28 @t30)) % 0.53/0.74 (define @t236 () (_ @t28 @t30)) % 0.53/0.74 (define @t237 () (forall @t65 @t236)) % 0.53/0.74 (define @t238 () (_ @t131 @t28)) % 0.53/0.74 (define @t239 () (tptp.possibly_likes tptp.piotr tptp.beer @t226)) % 0.53/0.74 (define @t240 () (or @t239 @t231 @t229)) % 0.53/0.74 (define @t241 () (not @t240)) % 0.53/0.74 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.53/0.74 (assume @p2 (_ tptp.mvalid (_ @t3 @t2))) % 0.53/0.74 (assume @p3 (_ tptp.mvalid (_ @t3 @t5))) % 0.53/0.74 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t10)) @t9)) @t6))))) % 0.53/0.74 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t9)) @t10)) @t6))))) % 0.53/0.74 (assume @p6 (_ tptp.mvalid (_ @t13 (_ @t1 tptp.pepsi)))) % 0.53/0.74 (assume @p7 (_ tptp.mvalid (_ @t3 (_ @t4 tptp.cola)))) % 0.53/0.74 (assume @p8 (_ tptp.mvalid (_ @t3 @t14))) % 0.53/0.74 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t13 (_ (_ tptp.mimplies @t10) @t9)) @t6))))) % 0.53/0.74 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t13 (_ (_ tptp.mimplies @t9) @t10)) @t6))))) % 0.53/0.74 (assume @p11 (_ tptp.mvalid (_ @t15 @t2))) % 0.53/0.74 (assume @p12 (_ tptp.mvalid (_ @t16 @t5))) % 0.53/0.74 (assume @p13 (_ tptp.mvalid (_ @t11 @t14))) % 0.53/0.74 (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))))) % 0.53/0.74 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t15 @t18)) @t18) @t6))) @t6))))) % 0.53/0.74 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t16 @t18)) @t19) @t6))) @t6))))) % 0.53/0.74 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind @t24))) % 0.53/0.74 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ (_ tptp.mdia tptp.a2) @t19)) @t22) @t6))) @t6))))) % 0.53/0.74 (assume @p19 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t16 @t19)) @t22) @t6))) @t6))))) % 0.53/0.74 (assume @p20 (_ tptp.msymmetric tptp.a1)) % 0.53/0.74 (assume @p21 (_ tptp.msymmetric tptp.a2)) % 0.53/0.74 (assume @p22 (_ tptp.msymmetric tptp.a3)) % 0.53/0.74 (assume @p23 (_ tptp.mserial tptp.a1)) % 0.53/0.74 (assume @p24 (_ tptp.mserial tptp.a2)) % 0.53/0.74 (assume @p25 (_ tptp.mserial tptp.a3)) % 0.53/0.74 (assume @p26 (_ @t25 tptp.a2)) % 0.53/0.74 (assume @p27 (_ @t25 tptp.a3)) % 0.53/0.74 (assume @p28 (_ (_ tptp.subrel tptp.a2) tptp.a3)) % 0.53/0.74 (assume @p29 (_ @t26 tptp.a1)) % 0.53/0.74 (assume @p30 (_ @t26 tptp.a2)) % 0.53/0.74 (assume @p31 (_ @t26 tptp.a3)) % 0.53/0.74 (assume @p32 (_ @t27 tptp.a1)) % 0.53/0.74 (assume @p33 (_ @t27 tptp.a2)) % 0.53/0.74 (assume @p34 (_ @t27 tptp.a3)) % 0.53/0.74 (assume @p35 (_ (_ tptp.cond4s tptp.a3) tptp.a3)) % 0.53/0.74 (assume @p36 (_ tptp.meuclidean tptp.a1)) % 0.53/0.74 (assume @p37 (_ tptp.meuclidean tptp.a2)) % 0.53/0.74 (assume @p38 (_ tptp.meuclidean tptp.a3)) % 0.53/0.74 (assume @p39 @t29) % 0.53/0.74 (assume @p40 true) % 0.53/0.74 (step @p41 (= tptp.meq_ind @t31) :rule refl :args (@t31)) % 0.53/0.74 (step @p42 (= tptp.meq_prop @t34) :rule refl :args (@t34)) % 0.53/0.74 (step @p43 (= tptp.mnot @t39) :rule refl :args (@t39)) % 0.53/0.74 (step @p44 (= tptp.mor @t42) :rule refl :args (@t42)) % 0.53/0.74 (step @p45 (= tptp.mand @t47) :rule refl :args (@t47)) % 0.53/0.74 (step @p46 (= tptp.mimplies @t48) :rule refl :args (@t48)) % 0.53/0.74 (step @p47 (= tptp.mimplied @t49) :rule refl :args (@t49)) % 0.53/0.74 (step @p48 (= tptp.mequiv @t50) :rule refl :args (@t50)) % 0.53/0.74 (step @p49 (= tptp.mxor @t51) :rule refl :args (@t51)) % 0.53/0.74 (step @p50 (= tptp.mforall_ind @t58) :rule refl :args (@t58)) % 0.53/0.74 (step @p51 (= tptp.mforall_prop @t62) :rule refl :args (@t62)) % 0.53/0.74 (step @p52 (= tptp.mexists_ind @t63) :rule refl :args (@t63)) % 0.53/0.74 (step @p53 (= tptp.mexists_prop @t64) :rule refl :args (@t64)) % 0.53/0.74 (step @p54 (= tptp.mtrue @t66) :rule refl :args (@t66)) % 0.53/0.74 (step @p55 (= tptp.mbox @t76) :rule refl :args (@t76)) % 0.53/0.74 (step @p56 (= tptp.mdia @t78) :rule refl :args (@t78)) % 0.53/0.74 (step @p57 (= tptp.mreflexive @t83) :rule refl :args (@t83)) % 0.53/0.74 (step @p58 (= tptp.msymmetric @t87) :rule refl :args (@t87)) % 0.53/0.74 (step @p59 (= tptp.mserial @t89) :rule refl :args (@t89)) % 0.53/0.74 (step @p60 (= tptp.mtransitive @t94) :rule refl :args (@t94)) % 0.53/0.74 (step @p61 (= tptp.meuclidean @t96) :rule refl :args (@t96)) % 0.53/0.74 (step @p62 (= tptp.mpartially_functional @t98) :rule refl :args (@t98)) % 0.53/0.74 (step @p63 (= tptp.mfunctional @t100) :rule refl :args (@t100)) % 0.53/0.74 (step @p64 (= tptp.mweakly_dense @t103) :rule refl :args (@t103)) % 0.53/0.74 (step @p65 (= tptp.mweakly_connected @t104) :rule refl :args (@t104)) % 0.53/0.74 (step @p66 (= tptp.mweakly_directed @t105) :rule refl :args (@t105)) % 0.53/0.74 (step @p67 (= tptp.mvalid @t108) :rule refl :args (@t108)) % 0.53/0.74 (step @p68 (= tptp.minvalid @t109) :rule refl :args (@t109)) % 0.53/0.74 (step @p69 (= tptp.msatisfiable @t110) :rule refl :args (@t110)) % 0.53/0.74 (step @p70 (= tptp.mcountersatisfiable @t111) :rule refl :args (@t111)) % 0.53/0.74 (step @p71 (= tptp.subrel @t117) :rule refl :args (@t117)) % 0.53/0.74 (step @p72 (= tptp.cond4s @t118) :rule refl :args (@t118)) % 0.53/0.74 (step @p73 :rule quant-merge-prenex :args ((= (forall @t65 @t126) @t125))) % 0.53/0.74 (step @p74 :rule beta-reduce :args ((= @t128 @t126))) % 0.53/0.74 (step @p75 :rule cong :premises (@p74) :args (@t129)) % 0.53/0.74 (step @p76 :rule trans :premises (@p75 @p73)) % 0.53/0.74 (step @p77 :rule beta-reduce :args ((= (_ @t131 @t127) @t129))) % 0.53/0.74 (step @p78 :rule trans :premises (@p77 @p76)) % 0.53/0.74 (step @p79 :rule quant-merge-prenex :args ((= (forall @t55 @t133) @t126))) % 0.53/0.74 (step @p80 :rule beta-reduce :args ((= @t136 @t133))) % 0.53/0.74 (step @p81 :rule cong 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cong :premises (@p295) :args (@t224)) % 0.53/0.74 (step @p297 :rule beta-reduce :args ((= (_ @t185 @t14) @t224))) % 0.53/0.74 (step @p298 :rule trans :premises (@p297 @p296)) % 0.53/0.74 (step @p299 :rule refl :args (@t14)) % 0.53/0.74 (step @p300 :rule ho_cong :premises (@p152 @p299)) % 0.53/0.74 (step @p301 :rule trans :premises (@p300 @p298)) % 0.53/0.74 (step @p302 :rule ho_cong :premises (@p171 @p301)) % 0.53/0.74 (step @p303 :rule trans :premises (@p302 @p281)) % 0.53/0.74 (step @p304 :rule ho_cong :premises (@p227 @p299)) % 0.53/0.74 (step @p305 :rule ho_cong :premises (@p274 @p304)) % 0.53/0.74 (step @p306 :rule trans :premises (@p305 @p303)) % 0.53/0.74 (step @p307 :rule eq_resolve :premises (@p13 @p306)) % 0.53/0.74 (step @p308 :rule instantiate :premises (@p307) :args ((@list @t226))) % 0.53/0.74 (step @p309 :rule skolemize :premises (@p308)) % 0.53/0.74 (step @p310 :rule bool-double-not-elim :args (@t228)) % 0.53/0.74 (step @p311 :rule refl :args (@t232)) % 0.53/0.74 (step @p312 :rule nary_cong :premises (@p311 @p310) :args ((or @t232 (not @t229)))) % 0.53/0.74 (step @p313 :rule cnf_or_neg :args (@t232 1)) % 0.53/0.74 (step @p314 :rule eq_resolve :premises (@p313 @p312)) % 0.53/0.74 (step @p315 :rule reordering :premises (@p314) :args ((or @t228 @t232))) % 0.53/0.74 (step @p316 :rule chain_m_resolution :premises (@p315 @p309) :args (@t228 @t233 @t234)) % 0.53/0.74 (step @p317 :rule bool-double-not-elim :args (@t230)) % 0.53/0.74 (step @p318 :rule nary_cong :premises (@p311 @p317) :args ((or @t232 (not @t231)))) % 0.53/0.74 (step @p319 :rule cnf_or_neg :args (@t232 0)) % 0.53/0.74 (step @p320 :rule eq_resolve :premises (@p319 @p318)) % 0.53/0.74 (step @p321 :rule reordering :premises (@p320) :args ((or @t230 @t232))) % 0.53/0.74 (step @p322 :rule chain_m_resolution :premises (@p321 @p309) :args (@t230 @t233 @t234)) % 0.53/0.74 (step @p323 :rule refl :args (@t225)) % 0.53/0.74 (step @p324 :rule refl :args (@t235)) % 0.53/0.74 (step @p325 :rule cong :premises (@p324 @p323) :args ((= @t235 @t225))) % 0.53/0.74 (step @p326 :rule symm :premises (@p325)) % 0.53/0.74 (step @p327 :rule eq_resolve :premises (@p324 @p326)) % 0.53/0.74 (step @p328 :rule cong :premises (@p327) :args ((forall @t65 @t235))) % 0.53/0.74 (step @p329 :rule refl :args (@t236)) % 0.53/0.74 (step @p330 :rule cong :premises (@p329) :args (@t237)) % 0.53/0.74 (step @p331 :rule trans :premises (@p330 @p328)) % 0.53/0.74 (step @p332 :rule beta-reduce :args ((= @t238 @t237))) % 0.53/0.74 (step @p333 :rule trans :premises (@p332 @p331)) % 0.53/0.74 (step @p334 :rule cong :premises (@p333) :args ((not @t238))) % 0.53/0.74 (step @p335 :rule refl :args (@t28)) % 0.53/0.74 (step @p336 :rule ho_cong :premises (@p274 @p335)) % 0.53/0.74 (step @p337 :rule cong :premises (@p336) :args (@t29)) % 0.53/0.74 (step @p338 :rule trans :premises (@p337 @p334)) % 0.53/0.74 (step @p339 :rule eq_resolve :premises (@p39 @p338)) % 0.53/0.74 (step @p340 :rule skolemize :premises (@p339)) % 0.53/0.74 (step @p341 :rule cnf_or_pos :args (@t240)) % 0.53/0.74 (step @p342 :rule reordering :premises (@p341) :args ((or @t239 @t231 @t229 @t241))) % 0.53/0.74 (step @p343 :rule chain_m_resolution :premises (@p342 @p340 @p322 @p316) :args (@t241 (@list true false false) (@list @t239 @t230 @t228))) % 0.53/0.74 (assume-push @p350 @t125) % 0.53/0.74 (step @p345 :rule instantiate :premises (@p277) :args ((@list @t226 tptp.piotr tptp.beer @t227))) % 0.53/0.74 (step-pop @p351 :rule scope :premises (@p345)) % 0.53/0.74 (step @p346 :rule process_scope :premises (@p351) :args (@t240)) % 0.53/0.74 (step @p348 :rule implies_elim :premises (@p346)) % 0.53/0.74 (step @p349 false :rule chain_m_resolution :premises (@p348 @p343 @p277) :args (false (@list true false) (@list @t240 @t125))) % 0.53/0.74 ) % 0.53/0.74 % SZS output end Proof % 0.53/0.74 % cvc5 exiting %------------------------------------------------------------------------------