%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET579^3 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:48:05 AM UTC 2026 % Result : Theorem 0.15s 0.42s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET579^3 : TPTP v9.2.1. Released v8.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 16:03:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TH0 % 0.15/0.42 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.42 % SZS status Theorem % 0.15/0.42 % SZS output start Proof % 0.15/0.42 ( % 0.15/0.42 (declare-sort $$unsorted 0) % 0.15/0.42 (declare-sort tptp.mworld 0) % 0.15/0.42 (declare-const tptp.mactual tptp.mworld) % 0.15/0.42 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.15/0.42 (declare-const tptp.subset (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.15/0.42 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.member (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.15/0.42 (declare-const tptp.qmltpeq (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.15/0.42 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.15/0.42 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.15/0.42 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.15/0.42 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.15/0.42 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.15/0.42 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.15/0.42 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.15/0.42 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.15/0.42 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.15/0.42 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.15/0.42 (define @t1 () (@var "V" tptp.mworld)) % 0.15/0.42 (define @t2 () (@var "W" tptp.mworld)) % 0.15/0.42 (define @t3 () (_ (_ tptp.mrel @t2) @t1)) % 0.15/0.42 (define @t4 () (@list @t1)) % 0.15/0.42 (define @t5 () (@list @t2)) % 0.15/0.42 (define @t6 () (@var "__flatten_var_0" tptp.mworld)) % 0.15/0.42 (define @t7 () (@var "X" $$unsorted)) % 0.15/0.42 (define @t8 () (_ tptp.qmltpeq @t7)) % 0.15/0.42 (define @t9 () (@list @t7 @t6)) % 0.15/0.42 (define @t10 () (@var "Y" $$unsorted)) % 0.15/0.42 (define @t11 () (_ tptp.qmltpeq @t10)) % 0.15/0.42 (define @t12 () (_ @t8 @t10)) % 0.15/0.42 (define @t13 () (@list @t10 @t6)) % 0.15/0.42 (define @t14 () (@var "Z" $$unsorted)) % 0.15/0.42 (define @t15 () (@var "C" $$unsorted)) % 0.15/0.42 (define @t16 () (@var "B" $$unsorted)) % 0.15/0.42 (define @t17 () (_ (_ tptp.difference @t16) @t15)) % 0.15/0.42 (define @t18 () (@var "A" $$unsorted)) % 0.15/0.42 (define @t19 () (_ (_ tptp.qmltpeq @t18) @t16)) % 0.15/0.42 (define @t20 () (_ tptp.mimplies @t19)) % 0.15/0.42 (define @t21 () (@list @t15 @t6)) % 0.15/0.42 (define @t22 () (@list @t16 @t6)) % 0.15/0.42 (define @t23 () (@list @t18 @t6)) % 0.15/0.42 (define @t24 () (_ tptp.difference @t15)) % 0.15/0.42 (define @t25 () (_ tptp.mand @t19)) % 0.15/0.42 (define @t26 () (_ tptp.member @t15)) % 0.15/0.42 (define @t27 () (_ tptp.subset @t16)) % 0.15/0.42 (define @t28 () (_ @t27 @t15)) % 0.15/0.42 (define @t29 () (_ tptp.subset @t15)) % 0.15/0.42 (define @t30 () (_ @t29 @t16)) % 0.15/0.42 (define @t31 () (@var "D" $$unsorted)) % 0.15/0.42 (define @t32 () (_ tptp.member @t31)) % 0.15/0.42 (define @t33 () (_ @t32 @t15)) % 0.15/0.42 (define @t34 () (_ @t32 @t16)) % 0.15/0.42 (define @t35 () (_ @t32 @t17)) % 0.15/0.42 (define @t36 () (@list @t31 @t6)) % 0.15/0.42 (define @t37 () (lambda @t36 (_ (_ (_ tptp.mequiv @t35) (_ (_ tptp.mand @t34) (_ tptp.mnot @t33))) @t6))) % 0.15/0.42 (define @t38 () (lambda @t21 (_ (_ tptp.mforall_di @t37) @t6))) % 0.15/0.42 (define @t39 () (lambda @t22 (_ (_ tptp.mforall_di @t38) @t6))) % 0.15/0.42 (define @t40 () (_ tptp.qmltpeq @t16)) % 0.15/0.42 (define @t41 () (_ @t40 @t15)) % 0.15/0.42 (define @t42 () (lambda @t21 (_ (_ (_ tptp.mequiv @t41) (_ (_ tptp.mand @t28) @t30)) @t6))) % 0.15/0.42 (define @t43 () (lambda @t22 (_ (_ tptp.mforall_di @t42) @t6))) % 0.15/0.42 (define @t44 () (lambda @t36 (_ (_ (_ tptp.mimplies @t34) @t33) @t6))) % 0.15/0.42 (define @t45 () (lambda @t21 (_ (_ (_ tptp.mequiv @t28) (_ tptp.mforall_di @t44)) @t6))) % 0.15/0.42 (define @t46 () (lambda @t22 (_ (_ tptp.mforall_di @t45) @t6))) % 0.15/0.42 (define @t47 () (_ @t40 (_ @t24 @t31))) % 0.15/0.42 (define @t48 () (@var "E" $$unsorted)) % 0.15/0.42 (define @t49 () (_ tptp.member @t48)) % 0.15/0.42 (define @t50 () (_ @t49 @t31)) % 0.15/0.42 (define @t51 () (_ @t49 @t15)) % 0.15/0.42 (define @t52 () (_ @t49 @t16)) % 0.15/0.42 (define @t53 () (@list @t48 @t6)) % 0.15/0.42 (define @t54 () (lambda @t53 (_ (_ (_ tptp.mequiv @t52) (_ (_ tptp.mand @t51) (_ tptp.mnot @t50))) @t6))) % 0.15/0.42 (define @t55 () (lambda @t36 (_ (_ (_ tptp.mimplies (_ tptp.mforall_di @t54)) @t47) @t6))) % 0.15/0.42 (define @t56 () (lambda @t21 (_ (_ tptp.mforall_di @t55) @t6))) % 0.15/0.42 (define @t57 () (lambda @t22 (_ (_ tptp.mforall_di @t56) @t6))) % 0.15/0.42 (define @t58 () (not (_ tptp.mlocal (_ tptp.mforall_di @t57)))) % 0.15/0.42 (define @t59 () (@var "Phi" (-> tptp.mworld Bool))) % 0.15/0.42 (define @t60 () (lambda (@list @t59) (_ @t59 tptp.mactual))) % 0.15/0.42 (define @t61 () (@var "A" (-> tptp.mworld Bool))) % 0.15/0.42 (define @t62 () (_ @t61 @t2)) % 0.15/0.42 (define @t63 () (lambda (@list @t61 @t2) (not @t62))) % 0.15/0.42 (define @t64 () (@var "B" (-> tptp.mworld Bool))) % 0.15/0.42 (define @t65 () (_ @t64 @t2)) % 0.15/0.42 (define @t66 () (@list @t61 @t64 @t2)) % 0.15/0.42 (define @t67 () (lambda @t66 (and @t62 @t65))) % 0.15/0.42 (define @t68 () (lambda @t66 (or @t62 @t65))) % 0.15/0.42 (define @t69 () (lambda @t66 (=> @t62 @t65))) % 0.15/0.42 (define @t70 () (lambda @t66 (= @t62 @t65))) % 0.15/0.42 (define @t71 () (_ @t59 @t1)) % 0.15/0.42 (define @t72 () (@list @t59 @t2)) % 0.15/0.42 (define @t73 () (lambda @t72 (forall @t4 (=> @t3 @t71)))) % 0.15/0.42 (define @t74 () (lambda @t72 (exists @t4 (and @t3 @t71)))) % 0.15/0.42 (define @t75 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 0.15/0.42 (define @t76 () (_ (_ @t75 @t7) @t2)) % 0.15/0.42 (define @t77 () (@list @t7)) % 0.15/0.42 (define @t78 () (forall @t77 @t76)) % 0.15/0.42 (define @t79 () (@list @t75 @t2)) % 0.15/0.42 (define @t80 () (lambda @t79 @t78)) % 0.15/0.42 (define @t81 () (lambda @t79 (exists @t77 @t76))) % 0.15/0.42 (define @t82 () (@var "BOUND_VARIABLE_9241" $$unsorted)) % 0.15/0.42 (define @t83 () (@var "BOUND_VARIABLE_9208" $$unsorted)) % 0.15/0.42 (define @t84 () (@list @t83)) % 0.15/0.42 (define @t85 () (@list @t7 @t82)) % 0.15/0.42 (define @t86 () (tptp.member @t83 @t7 @t2)) % 0.15/0.42 (define @t87 () (= (tptp.subset @t7 @t82 @t2) (forall @t84 (or (not @t86) (tptp.member @t83 @t82 @t2))))) % 0.15/0.42 (define @t88 () (forall @t85 @t87)) % 0.15/0.42 (define @t89 () (lambda @t5 @t88)) % 0.15/0.42 (define @t90 () (_ @t89 tptp.mactual)) % 0.15/0.42 (define @t91 () (@list @t82)) % 0.15/0.42 (define @t92 () (forall @t91 @t87)) % 0.15/0.42 (define @t93 () (not (tptp.member @t83 @t16 @t6))) % 0.15/0.42 (define @t94 () (tptp.subset @t16 @t7 @t6)) % 0.15/0.42 (define @t95 () (forall @t77 (= @t94 (forall @t84 (or @t93 (tptp.member @t83 @t7 @t6)))))) % 0.15/0.42 (define @t96 () (@list @t7)) % 0.15/0.42 (define @t97 () (lambda @t22 @t95)) % 0.15/0.42 (define @t98 () (forall @t77 (_ @t97 @t7 @t2))) % 0.15/0.42 (define @t99 () (lambda @t5 @t98)) % 0.15/0.42 (define @t100 () (_ @t75 @t7 @t2)) % 0.15/0.42 (define @t101 () (lambda @t79 (forall @t77 @t100))) % 0.15/0.42 (define @t102 () (forall @t84 (or (not (tptp.member @t83 @t16 @t2)) @t86))) % 0.15/0.42 (define @t103 () (tptp.subset @t16 @t7 @t2)) % 0.15/0.42 (define @t104 () (_ (_ @t27 @t7) @t2)) % 0.15/0.42 (define @t105 () (= @t104 @t102)) % 0.15/0.42 (define @t106 () (_ @t28 @t6)) % 0.15/0.42 (define @t107 () (tptp.member @t7 @t15 @t6)) % 0.15/0.42 (define @t108 () (tptp.member @t7 @t16 @t6)) % 0.15/0.42 (define @t109 () (forall @t77 (or (not @t108) @t107))) % 0.15/0.42 (define @t110 () (= @t106 @t109)) % 0.15/0.42 (define @t111 () (lambda @t21 @t110)) % 0.15/0.42 (define @t112 () (forall @t77 (_ @t111 @t7 @t2))) % 0.15/0.42 (define @t113 () (lambda @t5 @t112)) % 0.15/0.42 (define @t114 () (tptp.member @t7 @t15 @t2)) % 0.15/0.42 (define @t115 () (tptp.member @t7 @t16 @t2)) % 0.15/0.42 (define @t116 () (forall @t77 (or (not @t115) @t114))) % 0.15/0.42 (define @t117 () (_ @t28 @t2)) % 0.15/0.42 (define @t118 () (lambda @t5 @t116)) % 0.15/0.42 (define @t119 () (_ @t118 @t2)) % 0.15/0.42 (define @t120 () (lambda @t5 (= @t119 @t117))) % 0.15/0.42 (define @t121 () (@list @t64 @t2)) % 0.15/0.42 (define @t122 () (_ tptp.member @t7)) % 0.15/0.42 (define @t123 () (_ (_ @t122 @t15) @t2)) % 0.15/0.42 (define @t124 () (_ (_ @t122 @t16) @t2)) % 0.15/0.42 (define @t125 () (not @t124)) % 0.15/0.42 (define @t126 () (or @t125 @t123)) % 0.15/0.42 (define @t127 () (=> @t124 @t123)) % 0.15/0.42 (define @t128 () (_ @t33 @t6)) % 0.15/0.42 (define @t129 () (_ @t34 @t6)) % 0.15/0.42 (define @t130 () (=> @t129 @t128)) % 0.15/0.42 (define @t131 () (lambda @t36 @t130)) % 0.15/0.42 (define @t132 () (_ @t131 @t7 @t2)) % 0.15/0.42 (define @t133 () (forall @t77 @t132)) % 0.15/0.42 (define @t134 () (lambda @t5 @t133)) % 0.15/0.42 (define @t135 () (_ @t33 @t2)) % 0.15/0.42 (define @t136 () (_ @t34 @t2)) % 0.15/0.42 (define @t137 () (lambda @t5 (=> @t136 @t135))) % 0.15/0.42 (define @t138 () (lambda @t121 (=> @t136 @t65))) % 0.15/0.42 (define @t139 () (_ @t69 @t34)) % 0.15/0.42 (define @t140 () (lambda @t36 (_ (_ @t139 @t33) @t6))) % 0.15/0.42 (define @t141 () (lambda @t121 (= @t117 @t65))) % 0.15/0.42 (define @t142 () (_ @t70 @t28)) % 0.15/0.42 (define @t143 () (lambda @t21 (_ (_ @t142 (_ @t101 @t140)) @t6))) % 0.15/0.42 (define @t144 () (@var "BOUND_VARIABLE_9439" $$unsorted)) % 0.15/0.42 (define @t145 () (@var "BOUND_VARIABLE_9482" $$unsorted)) % 0.15/0.42 (define @t146 () (tptp.difference @t145 @t144)) % 0.15/0.42 (define @t147 () (@var "BOUND_VARIABLE_9388" $$unsorted)) % 0.15/0.42 (define @t148 () (@list @t147)) % 0.15/0.42 (define @t149 () (@list @t7 @t145 @t144)) % 0.15/0.42 (define @t150 () (forall @t149 (or (not (forall @t148 (= (tptp.member @t147 @t7 tptp.mactual) (and (tptp.member @t147 @t145 tptp.mactual) (not (tptp.member @t147 @t144 tptp.mactual)))))) (tptp.qmltpeq @t7 @t146 tptp.mactual)))) % 0.15/0.42 (define @t151 () (@quantifiers_skolemize @t150 0)) % 0.15/0.42 (define @t152 () (@quantifiers_skolemize @t150 2)) % 0.15/0.42 (define @t153 () (@quantifiers_skolemize @t150 1)) % 0.15/0.42 (define @t154 () (tptp.difference @t153 @t152)) % 0.15/0.42 (define @t155 () (@list @t151 @t154)) % 0.15/0.42 (define @t156 () (tptp.member @t83 @t154 tptp.mactual)) % 0.15/0.42 (define @t157 () (tptp.member @t83 @t151 tptp.mactual)) % 0.15/0.42 (define @t158 () (forall @t84 (or (not @t157) @t156))) % 0.15/0.42 (define @t159 () (@quantifiers_skolemize @t158 0)) % 0.15/0.42 (define @t160 () (tptp.member @t159 @t151 tptp.mactual)) % 0.15/0.42 (define @t161 () (tptp.member @t159 @t154 tptp.mactual)) % 0.15/0.42 (define @t162 () (not @t160)) % 0.15/0.42 (define @t163 () (or @t162 @t161)) % 0.15/0.42 (define @t164 () (not (tptp.member @t147 @t144 @t2))) % 0.15/0.42 (define @t165 () (tptp.member @t147 @t7 @t2)) % 0.15/0.42 (define @t166 () (or (not (forall @t148 (= @t165 (and (tptp.member @t147 @t145 @t2) @t164)))) (tptp.qmltpeq @t7 @t146 @t2))) % 0.15/0.42 (define @t167 () (forall @t149 @t166)) % 0.15/0.42 (define @t168 () (lambda @t5 @t167)) % 0.15/0.42 (define @t169 () (_ @t168 tptp.mactual)) % 0.15/0.42 (define @t170 () (@list @t145 @t144)) % 0.15/0.42 (define @t171 () (forall @t170 @t166)) % 0.15/0.42 (define @t172 () (not (tptp.member @t147 @t144 @t6))) % 0.15/0.42 (define @t173 () (tptp.member @t147 @t16 @t6)) % 0.15/0.42 (define @t174 () (tptp.difference @t7 @t144)) % 0.15/0.42 (define @t175 () (tptp.member @t147 @t7 @t6)) % 0.15/0.42 (define @t176 () (@list @t7 @t144)) % 0.15/0.42 (define @t177 () (forall @t176 (or (not (forall @t148 (= @t173 (and @t175 @t172)))) (tptp.qmltpeq @t16 @t174 @t6)))) % 0.15/0.42 (define @t178 () (lambda @t22 @t177)) % 0.15/0.42 (define @t179 () (forall @t77 (_ @t178 @t7 @t2))) % 0.15/0.42 (define @t180 () (lambda @t5 @t179)) % 0.15/0.42 (define @t181 () (tptp.member @t147 @t16 @t2)) % 0.15/0.42 (define @t182 () (or (not (forall @t148 (= @t181 (and @t165 @t164)))) (tptp.qmltpeq @t16 @t174 @t2))) % 0.15/0.42 (define @t183 () (forall @t176 @t182)) % 0.15/0.42 (define @t184 () (@list @t144)) % 0.15/0.42 (define @t185 () (forall @t184 @t182)) % 0.15/0.42 (define @t186 () (tptp.member @t147 @t15 @t6)) % 0.15/0.42 (define @t187 () (tptp.difference @t15 @t7)) % 0.15/0.42 (define @t188 () (forall @t77 (or (not (forall @t148 (= @t173 (and @t186 (not @t175))))) (tptp.qmltpeq @t16 @t187 @t6)))) % 0.15/0.42 (define @t189 () (lambda @t21 @t188)) % 0.15/0.42 (define @t190 () (forall @t77 (_ @t189 @t7 @t2))) % 0.15/0.42 (define @t191 () (lambda @t5 @t190)) % 0.15/0.42 (define @t192 () (tptp.qmltpeq @t16 @t187 @t2)) % 0.15/0.42 (define @t193 () (forall @t148 (= @t181 (and (tptp.member @t147 @t15 @t2) (not @t165))))) % 0.15/0.42 (define @t194 () (not @t193)) % 0.15/0.42 (define @t195 () (_ @t24 @t7)) % 0.15/0.42 (define @t196 () (_ (_ @t40 @t195) @t2)) % 0.15/0.42 (define @t197 () (or @t194 @t196)) % 0.15/0.42 (define @t198 () (=> @t193 @t196)) % 0.15/0.42 (define @t199 () (_ @t47 @t6)) % 0.15/0.42 (define @t200 () (forall @t77 (= @t108 (and @t107 (not (tptp.member @t7 @t31 @t6)))))) % 0.15/0.42 (define @t201 () (=> @t200 @t199)) % 0.15/0.42 (define @t202 () (lambda @t36 @t201)) % 0.15/0.42 (define @t203 () (forall @t77 (_ @t202 @t7 @t2))) % 0.15/0.42 (define @t204 () (lambda @t5 @t203)) % 0.15/0.42 (define @t205 () (tptp.member @t7 @t31 @t2)) % 0.15/0.42 (define @t206 () (forall @t77 (= @t115 (and @t114 (not @t205))))) % 0.15/0.42 (define @t207 () (lambda @t5 (=> @t206 (_ @t47 @t2)))) % 0.15/0.42 (define @t208 () (lambda @t5 @t206)) % 0.15/0.42 (define @t209 () (_ @t208 @t2)) % 0.15/0.42 (define @t210 () (=> @t209 @t65)) % 0.15/0.42 (define @t211 () (lambda @t121 @t210)) % 0.15/0.42 (define @t212 () (_ (_ @t122 @t31) @t2)) % 0.15/0.42 (define @t213 () (not @t212)) % 0.15/0.42 (define @t214 () (and @t123 @t213)) % 0.15/0.42 (define @t215 () (= @t124 @t214)) % 0.15/0.42 (define @t216 () (= (_ @t52 @t6) (and (_ @t51 @t6) (not (_ @t50 @t6))))) % 0.15/0.42 (define @t217 () (lambda @t53 @t216)) % 0.15/0.42 (define @t218 () (_ @t217 @t7 @t2)) % 0.15/0.42 (define @t219 () (forall @t77 @t218)) % 0.15/0.42 (define @t220 () (lambda @t5 @t219)) % 0.15/0.42 (define @t221 () (not (_ @t50 @t2))) % 0.15/0.42 (define @t222 () (_ @t51 @t2)) % 0.15/0.42 (define @t223 () (and @t222 @t221)) % 0.15/0.42 (define @t224 () (_ @t52 @t2)) % 0.15/0.42 (define @t225 () (lambda @t5 @t223)) % 0.15/0.42 (define @t226 () (_ @t225 @t2)) % 0.15/0.42 (define @t227 () (lambda @t5 (= @t226 @t224))) % 0.15/0.42 (define @t228 () (lambda @t5 @t221)) % 0.15/0.42 (define @t229 () (_ @t228 @t2)) % 0.15/0.42 (define @t230 () (and @t222 @t229)) % 0.15/0.42 (define @t231 () (lambda @t5 @t230)) % 0.15/0.42 (define @t232 () (lambda @t121 (and @t222 @t65))) % 0.15/0.42 (define @t233 () (_ @t63 @t50)) % 0.15/0.42 (define @t234 () (_ @t67 @t51)) % 0.15/0.42 (define @t235 () (lambda @t121 (= @t224 @t65))) % 0.15/0.42 (define @t236 () (_ @t70 @t52)) % 0.15/0.42 (define @t237 () (lambda @t53 (_ (_ @t236 (_ @t234 @t233)) @t6))) % 0.15/0.42 (define @t238 () (lambda @t36 (_ (_ (_ @t69 (_ @t101 @t237)) @t47) @t6))) % 0.15/0.42 (define @t239 () (lambda @t21 (_ (_ @t101 @t238) @t6))) % 0.15/0.42 (define @t240 () (lambda @t22 (_ (_ @t101 @t239) @t6))) % 0.15/0.42 (define @t241 () (forall @t148 (= (tptp.member @t147 @t151 tptp.mactual) (and (tptp.member @t147 @t153 tptp.mactual) (not (tptp.member @t147 @t152 tptp.mactual)))))) % 0.15/0.42 (define @t242 () (tptp.qmltpeq @t151 @t154 tptp.mactual)) % 0.15/0.42 (define @t243 () (not @t241)) % 0.15/0.42 (define @t244 () (or @t243 @t242)) % 0.15/0.42 (define @t245 () (@list true)) % 0.15/0.42 (define @t246 () (@list @t244)) % 0.15/0.42 (define @t247 () (and (tptp.member @t159 @t153 tptp.mactual) (not (tptp.member @t159 @t152 tptp.mactual)))) % 0.15/0.42 (define @t248 () (= @t160 @t247)) % 0.15/0.42 (define @t249 () (@var "BOUND_VARIABLE_9024" $$unsorted)) % 0.15/0.42 (define @t250 () (@var "BOUND_VARIABLE_8988" $$unsorted)) % 0.15/0.42 (define @t251 () (tptp.difference @t7 @t249)) % 0.15/0.42 (define @t252 () (@list @t7 @t249 @t250)) % 0.15/0.42 (define @t253 () (tptp.member @t250 @t7 @t2)) % 0.15/0.42 (define @t254 () (= (tptp.member @t250 @t251 @t2) (and @t253 (not (tptp.member @t250 @t249 @t2))))) % 0.15/0.42 (define @t255 () (forall @t252 @t254)) % 0.15/0.42 (define @t256 () (lambda @t5 @t255)) % 0.15/0.42 (define @t257 () (_ @t256 tptp.mactual)) % 0.15/0.42 (define @t258 () (@list @t249 @t250)) % 0.15/0.42 (define @t259 () (forall @t258 @t254)) % 0.15/0.42 (define @t260 () (tptp.member @t250 @t16 @t6)) % 0.15/0.42 (define @t261 () (tptp.difference @t16 @t7)) % 0.15/0.42 (define @t262 () (@list @t7 @t250)) % 0.15/0.42 (define @t263 () (forall @t262 (= (tptp.member @t250 @t261 @t6) (and @t260 (not (tptp.member @t250 @t7 @t6)))))) % 0.15/0.42 (define @t264 () (lambda @t22 @t263)) % 0.15/0.42 (define @t265 () (forall @t77 (_ @t264 @t7 @t2))) % 0.15/0.42 (define @t266 () (lambda @t5 @t265)) % 0.15/0.42 (define @t267 () (= (tptp.member @t250 @t261 @t2) (and (tptp.member @t250 @t16 @t2) (not @t253)))) % 0.15/0.42 (define @t268 () (forall @t262 @t267)) % 0.15/0.42 (define @t269 () (@list @t250)) % 0.15/0.42 (define @t270 () (forall @t269 @t267)) % 0.15/0.42 (define @t271 () (tptp.difference @t16 @t15)) % 0.15/0.42 (define @t272 () (forall @t77 (= (tptp.member @t7 @t271 @t6) (and @t108 (not @t107))))) % 0.15/0.42 (define @t273 () (lambda @t21 @t272)) % 0.15/0.42 (define @t274 () (forall @t77 (_ @t273 @t7 @t2))) % 0.15/0.42 (define @t275 () (lambda @t5 @t274)) % 0.15/0.42 (define @t276 () (tptp.member @t7 @t271 @t2)) % 0.15/0.42 (define @t277 () (not @t123)) % 0.15/0.42 (define @t278 () (and @t124 @t277)) % 0.15/0.42 (define @t279 () (_ (_ @t122 @t17) @t2)) % 0.15/0.42 (define @t280 () (= @t279 @t278)) % 0.15/0.42 (define @t281 () (= (_ @t35 @t6) (and @t129 (not @t128)))) % 0.15/0.42 (define @t282 () (lambda @t36 @t281)) % 0.15/0.42 (define @t283 () (_ @t282 @t7 @t2)) % 0.15/0.42 (define @t284 () (forall @t77 @t283)) % 0.15/0.42 (define @t285 () (lambda @t5 @t284)) % 0.15/0.42 (define @t286 () (not @t135)) % 0.15/0.42 (define @t287 () (and @t136 @t286)) % 0.15/0.42 (define @t288 () (_ @t35 @t2)) % 0.15/0.42 (define @t289 () (lambda @t5 @t287)) % 0.15/0.42 (define @t290 () (_ @t289 @t2)) % 0.15/0.42 (define @t291 () (lambda @t5 (= @t290 @t288))) % 0.15/0.42 (define @t292 () (lambda @t5 @t286)) % 0.15/0.42 (define @t293 () (_ @t292 @t2)) % 0.15/0.42 (define @t294 () (and @t136 @t293)) % 0.15/0.42 (define @t295 () (lambda @t5 @t294)) % 0.15/0.42 (define @t296 () (lambda @t121 (and @t136 @t65))) % 0.15/0.42 (define @t297 () (_ @t63 @t33)) % 0.15/0.42 (define @t298 () (_ @t67 @t34)) % 0.15/0.42 (define @t299 () (lambda @t121 (= @t288 @t65))) % 0.15/0.42 (define @t300 () (_ @t70 @t35)) % 0.15/0.42 (define @t301 () (lambda @t36 (_ (_ @t300 (_ @t298 @t297)) @t6))) % 0.15/0.42 (define @t302 () (lambda @t21 (_ (_ @t101 @t301) @t6))) % 0.15/0.42 (define @t303 () (= @t161 @t247)) % 0.15/0.42 (define @t304 () (not @t163)) % 0.15/0.42 (define @t305 () (not @t158)) % 0.15/0.42 (define @t306 () (tptp.subset @t151 @t154 tptp.mactual)) % 0.15/0.42 (define @t307 () (= @t306 @t158)) % 0.15/0.42 (define @t308 () (@list false false)) % 0.15/0.42 (define @t309 () (@var "BOUND_VARIABLE_9118" $$unsorted)) % 0.15/0.42 (define @t310 () (@list @t7 @t309)) % 0.15/0.42 (define @t311 () (= (tptp.qmltpeq @t7 @t309 @t2) (and (tptp.subset @t7 @t309 @t2) (tptp.subset @t309 @t7 @t2)))) % 0.15/0.42 (define @t312 () (forall @t310 @t311)) % 0.15/0.42 (define @t313 () (lambda @t5 @t312)) % 0.15/0.42 (define @t314 () (_ @t313 tptp.mactual)) % 0.15/0.42 (define @t315 () (@list @t309)) % 0.15/0.42 (define @t316 () (forall @t315 @t311)) % 0.15/0.42 (define @t317 () (forall @t77 (= (tptp.qmltpeq @t16 @t7 @t6) (and @t94 (tptp.subset @t7 @t16 @t6))))) % 0.15/0.42 (define @t318 () (lambda @t22 @t317)) % 0.15/0.42 (define @t319 () (forall @t77 (_ @t318 @t7 @t2))) % 0.15/0.42 (define @t320 () (lambda @t5 @t319)) % 0.15/0.42 (define @t321 () (tptp.subset @t7 @t16 @t2)) % 0.15/0.42 (define @t322 () (tptp.qmltpeq @t16 @t7 @t2)) % 0.15/0.42 (define @t323 () (_ (_ (_ tptp.subset @t7) @t16) @t2)) % 0.15/0.42 (define @t324 () (and @t104 @t323)) % 0.15/0.42 (define @t325 () (_ (_ @t40 @t7) @t2)) % 0.15/0.42 (define @t326 () (= @t325 @t324)) % 0.15/0.42 (define @t327 () (= (_ @t41 @t6) (and @t106 (_ @t30 @t6)))) % 0.15/0.42 (define @t328 () (lambda @t21 @t327)) % 0.15/0.42 (define @t329 () (_ @t328 @t7 @t2)) % 0.15/0.42 (define @t330 () (forall @t77 @t329)) % 0.15/0.42 (define @t331 () (lambda @t5 @t330)) % 0.15/0.42 (define @t332 () (and @t117 (_ @t30 @t2))) % 0.15/0.42 (define @t333 () (_ @t41 @t2)) % 0.15/0.42 (define @t334 () (lambda @t5 @t332)) % 0.15/0.42 (define @t335 () (_ @t334 @t2)) % 0.15/0.42 (define @t336 () (lambda @t5 (= @t335 @t333))) % 0.15/0.42 (define @t337 () (lambda @t121 (and @t117 @t65))) % 0.15/0.42 (define @t338 () (_ @t67 @t28)) % 0.15/0.42 (define @t339 () (lambda @t121 (= @t333 @t65))) % 0.15/0.42 (define @t340 () (_ @t70 @t41)) % 0.15/0.42 (define @t341 () (lambda @t21 (_ (_ @t340 (_ @t338 @t30)) @t6))) % 0.15/0.42 (define @t342 () (tptp.subset @t154 @t151 tptp.mactual)) % 0.15/0.42 (define @t343 () (and @t306 @t342)) % 0.15/0.42 (define @t344 () (= @t242 @t343)) % 0.15/0.42 (define @t345 () (not @t343)) % 0.15/0.42 (define @t346 () (@list true false)) % 0.15/0.42 (define @t347 () (forall @t84 (or (not @t156) @t157))) % 0.15/0.42 (define @t348 () (= @t342 @t347)) % 0.15/0.42 (define @t349 () (not @t347)) % 0.15/0.42 (define @t350 () (@quantifiers_skolemize @t347 0)) % 0.15/0.42 (define @t351 () (tptp.member @t350 @t151 tptp.mactual)) % 0.15/0.42 (define @t352 () (tptp.member @t350 @t154 tptp.mactual)) % 0.15/0.42 (define @t353 () (not @t352)) % 0.15/0.42 (define @t354 () (or @t353 @t351)) % 0.15/0.42 (define @t355 () (not @t354)) % 0.15/0.42 (define @t356 () (@list @t354)) % 0.15/0.42 (define @t357 () (and (tptp.member @t350 @t153 tptp.mactual) (not (tptp.member @t350 @t152 tptp.mactual)))) % 0.15/0.42 (define @t358 () (= @t352 @t357)) % 0.15/0.42 (define @t359 () (= @t351 @t357)) % 0.15/0.42 (assume @p1 (forall @t5 (exists @t4 @t3))) % 0.15/0.42 (assume @p2 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t9 (_ (_ @t8 @t7) @t6))))) % 0.15/0.42 (assume @p3 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t9 (_ (_ tptp.mforall_di (lambda @t13 (_ (_ (_ tptp.mimplies @t12) (_ @t11 @t7)) @t6))) @t6))))) % 0.15/0.42 (assume @p4 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t9 (_ (_ tptp.mforall_di (lambda @t13 (_ (_ tptp.mforall_di (lambda (@list @t14 @t6) (_ (_ (_ tptp.mimplies (_ (_ tptp.mand @t12) (_ @t11 @t14))) (_ @t8 @t14)) @t6))) @t6))) @t6))))) % 0.15/0.42 (assume @p5 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ @t20 (_ (_ tptp.qmltpeq (_ (_ tptp.difference @t18) @t15)) @t17)) @t6))) @t6))) @t6))))) % 0.15/0.42 (assume @p6 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ @t20 (_ (_ tptp.qmltpeq (_ @t24 @t18)) (_ @t24 @t16))) @t6))) @t6))) @t6))))) % 0.15/0.42 (assume @p7 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ (_ tptp.mimplies (_ @t25 (_ (_ tptp.member @t18) @t15))) (_ (_ tptp.member @t16) @t15)) @t6))) @t6))) @t6))))) % 0.15/0.42 (assume @p8 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ (_ tptp.mimplies (_ @t25 (_ @t26 @t18))) (_ @t26 @t16)) @t6))) @t6))) @t6))))) % 0.15/0.42 (assume @p9 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ (_ tptp.mimplies (_ @t25 (_ (_ tptp.subset @t18) @t15))) @t28) @t6))) @t6))) @t6))))) % 0.15/0.42 (assume @p10 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t23 (_ (_ tptp.mforall_di (lambda @t22 (_ (_ tptp.mforall_di (lambda @t21 (_ (_ (_ tptp.mimplies (_ @t25 (_ @t29 @t18))) @t30) @t6))) @t6))) @t6))))) % 0.15/0.42 (assume @p11 (_ tptp.mlocal (_ tptp.mforall_di @t39))) % 0.15/0.42 (assume @p12 (_ tptp.mlocal (_ tptp.mforall_di @t43))) % 0.15/0.42 (assume @p13 (_ tptp.mlocal (_ tptp.mforall_di @t46))) % 0.15/0.42 (assume @p14 (_ tptp.mlocal (_ tptp.mforall_di (lambda @t22 (_ (_ @t27 @t16) @t6))))) % 0.15/0.42 (assume @p15 @t58) % 0.15/0.42 (assume @p16 true) % 0.15/0.42 (step @p17 (= tptp.mlocal @t60) :rule refl :args (@t60)) % 0.15/0.42 (step @p18 (= tptp.mnot @t63) :rule refl :args (@t63)) % 0.15/0.42 (step @p19 (= tptp.mand @t67) :rule refl :args (@t67)) % 0.15/0.42 (step @p20 (= tptp.mor @t68) :rule refl :args (@t68)) % 0.15/0.42 (step @p21 (= tptp.mimplies @t69) :rule refl :args (@t69)) % 0.15/0.42 (step @p22 (= tptp.mequiv @t70) :rule refl :args (@t70)) % 0.15/0.42 (step @p23 (= tptp.mbox @t73) :rule refl :args (@t73)) % 0.15/0.42 (step @p24 (= tptp.mdia @t74) :rule refl :args (@t74)) % 0.15/0.42 (step @p25 (= tptp.mforall_di @t80) :rule refl :args (@t80)) % 0.15/0.42 (step @p26 (= tptp.mexists_di @t81) :rule refl :args (@t81)) % 0.15/0.42 (step @p27 :rule beta-reduce :args ((= @t90 (forall @t85 (= (tptp.subset @t7 @t82 tptp.mactual) (forall @t84 (or (not (tptp.member @t83 @t7 tptp.mactual)) (tptp.member @t83 @t82 tptp.mactual)))))))) % 0.15/0.42 (step @p28 :rule beta-reduce :args ((= (_ @t60 @t89) @t90))) % 0.15/0.42 (step @p29 :rule trans :premises (@p28 @p27)) % 0.15/0.42 (step @p30 :rule quant-merge-prenex :args ((= (forall @t77 @t92) @t88))) % 0.15/0.42 (step @p31 :rule beta-reduce :args ((= (_ (lambda @t22 (forall @t91 (= (tptp.subset @t16 @t82 @t6) (forall @t84 (or @t93 (tptp.member @t83 @t82 @t6)))))) @t7 @t2) @t92))) % 0.15/0.42 (step @p32 :rule refl :args (@t2)) % 0.15/0.42 (step @p33 :rule refl :args (@t7)) % 0.15/0.42 (step @p34 :rule alpha_equiv :args (@t95 @t96 (@list @t82))) % 0.15/0.42 (step @p35 :rule cong :premises (@p34) :args (@t97)) % 0.15/0.42 (step @p36 :rule ho_cong :premises (@p35 @p33 @p32)) % 0.15/0.42 (step @p37 :rule trans :premises (@p36 @p31)) % 0.15/0.42 (step @p38 :rule cong :premises (@p37) :args (@t98)) % 0.15/0.42 (step @p39 :rule trans :premises (@p38 @p30)) % 0.15/0.42 (step @p40 :rule cong :premises (@p39) :args (@t99)) % 0.15/0.42 (step @p41 :rule beta-reduce :args ((= (_ @t101 @t97) @t99))) % 0.15/0.42 (step @p42 :rule trans :premises (@p41 @p40)) % 0.15/0.42 (step @p43 :rule beta-reduce :args ((= (_ (lambda @t5 (forall @t77 (= @t103 @t102))) @t6) @t95))) % 0.15/0.42 (step @p44 :rule refl :args (@t6)) % 0.15/0.42 (step @p45 :rule refl :args (@t102)) % 0.15/0.42 (step @p46 :rule refl :args (@t103)) % 0.15/0.42 (step @p47 :rule refl :args (@t104)) % 0.15/0.42 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t104 @t103))) % 0.15/0.42 (step @p49 :rule symm :premises (@p48)) % 0.15/0.42 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.15/0.42 (step @p51 :rule cong :premises (@p50 @p45) :args (@t105)) % 0.15/0.42 (step @p52 :rule cong :premises (@p51) :args ((forall @t77 @t105))) % 0.15/0.42 (step @p53 :rule beta-reduce :args ((= (_ (lambda @t21 (= @t106 (forall @t84 (or @t93 (tptp.member @t83 @t15 @t6))))) @t7 @t2) @t105))) % 0.15/0.42 (step @p54 :rule alpha_equiv :args (@t109 @t96 (@list @t83))) % 0.15/0.42 (step @p55 :rule refl :args (@t106)) % 0.15/0.42 (step @p56 :rule cong :premises (@p55 @p54) :args (@t110)) % 0.15/0.42 (step @p57 :rule cong :premises (@p56) :args (@t111)) % 0.15/0.42 (step @p58 :rule ho_cong :premises (@p57 @p33 @p32)) % 0.15/0.42 (step @p59 :rule trans :premises (@p58 @p53)) % 0.15/0.42 (step @p60 :rule cong :premises (@p59) :args (@t112)) % 0.15/0.42 (step @p61 :rule trans :premises (@p60 @p52)) % 0.15/0.42 (step @p62 :rule cong :premises (@p61) :args (@t113)) % 0.15/0.42 (step @p63 :rule beta-reduce :args ((= (_ @t101 @t111) @t113))) % 0.15/0.42 (step @p64 :rule trans :premises (@p63 @p62)) % 0.15/0.42 (step @p65 :rule beta-reduce :args ((= (_ (lambda @t5 (= @t117 @t116)) @t6) @t110))) % 0.15/0.42 (step @p66 :rule beta-reduce :args ((= @t119 @t116))) % 0.15/0.42 (step @p67 :rule refl :args (@t117)) % 0.15/0.42 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t117 @t119))) % 0.15/0.42 (step @p69 :rule eq-symm :args (@t119 @t117)) % 0.15/0.42 (step @p70 :rule trans :premises (@p69 @p68)) % 0.15/0.42 (step @p71 :rule cong :premises (@p70) :args (@t120)) % 0.15/0.42 (step @p72 :rule beta-reduce :args ((= (_ (lambda @t121 (= @t65 @t117)) @t118) @t120))) % 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0.15/0.42 (step @p534 :rule ho_cong :premises (@p105 @p533)) % 0.15/0.42 (step @p535 :rule trans :premises (@p534 @p485)) % 0.15/0.42 (step @p536 :rule ho_cong :premises (@p124 @p535)) % 0.15/0.42 (step @p537 :rule trans :premises (@p536 @p474)) % 0.15/0.42 (step @p538 :rule ho_cong :premises (@p19 @p141)) % 0.15/0.42 (step @p539 :rule ho_cong :premises (@p538 @p516)) % 0.15/0.42 (step @p540 :rule refl :args (@t41)) % 0.15/0.42 (step @p541 :rule ho_cong :premises (@p22 @p540)) % 0.15/0.42 (step @p542 :rule ho_cong :premises (@p541 @p539)) % 0.15/0.42 (step @p543 :rule ho_cong :premises (@p542 @p44)) % 0.15/0.42 (step @p544 :rule cong :premises (@p543) :args (@t42)) % 0.15/0.42 (step @p545 :rule ho_cong :premises (@p139 @p544)) % 0.15/0.42 (step @p546 :rule ho_cong :premises (@p545 @p44)) % 0.15/0.42 (step @p547 :rule cong :premises (@p546) :args (@t43)) % 0.15/0.42 (step @p548 :rule ho_cong :premises (@p139 @p547)) % 0.15/0.42 (step @p549 :rule ho_cong :premises (@p17 @p548)) % 0.15/0.42 (step @p550 :rule trans :premises (@p549 @p537)) % 0.15/0.42 (step @p551 :rule eq_resolve :premises (@p12 @p550)) % 0.15/0.42 (step @p552 :rule instantiate :premises (@p551) :args (@t155)) % 0.15/0.42 (step @p553 :rule cnf_or_neg :args (@t244 1)) % 0.15/0.42 (step @p554 :rule chain_m_resolution :premises (@p553 @p329) :args ((not @t242) @t245 @t246)) % 0.15/0.42 (step @p555 :rule cnf_equiv_pos2 :args (@t344)) % 0.15/0.42 (step @p556 :rule reordering :premises (@p555) :args ((or @t242 @t345 (not @t344)))) % 0.15/0.42 (step @p557 :rule chain_m_resolution :premises (@p556 @p554 @p552) :args (@t345 @t346 (@list @t242 @t344))) % 0.15/0.42 (step @p558 :rule cnf_and_neg :args (@t343)) % 0.15/0.42 (step @p559 :rule chain_m_resolution :premises (@p558 @p557 @p471) :args ((not @t342) @t346 (@list @t343 @t306))) % 0.15/0.42 (step @p560 :rule cnf_equiv_pos2 :args (@t348)) % 0.15/0.42 (step @p561 :rule reordering :premises (@p560) :args ((or @t342 @t349 (not @t348)))) % 0.15/0.42 (step @p562 :rule chain_m_resolution :premises (@p561 @p559 @p153) :args (@t349 @t346 (@list @t342 @t348))) % 0.15/0.42 (step @p563 :rule refl :args (@t355)) % 0.15/0.42 (step @p564 :rule bool-double-not-elim :args (@t347)) % 0.15/0.42 (step @p565 :rule nary_cong :premises (@p564 @p563) :args ((or (not @t349) @t355))) % 0.15/0.42 (assume-push @p592 @t349) % 0.15/0.42 (step @p567 :rule skolemize :premises (@p592)) % 0.15/0.42 (step-pop @p593 :rule scope :premises (@p567)) % 0.15/0.42 (step @p568 :rule process_scope :premises (@p593) :args (@t355)) % 0.15/0.42 (step @p570 :rule implies_elim :premises (@p568)) % 0.15/0.42 (step @p571 :rule eq_resolve :premises (@p570 @p565)) % 0.15/0.42 (step @p572 :rule chain_m_resolution :premises (@p571 @p562) :args (@t355 @t245 (@list @t347))) % 0.15/0.42 (step @p573 :rule cnf_or_neg :args (@t354 1)) % 0.15/0.42 (step @p574 :rule chain_m_resolution :premises (@p573 @p572) :args ((not @t351) @t245 @t356)) % 0.15/0.42 (step @p575 :rule instantiate :premises (@p336) :args ((@list @t350))) % 0.15/0.42 (step @p576 :rule instantiate :premises (@p454) :args ((@list @t153 @t152 @t350))) % 0.15/0.42 (step @p577 :rule bool-double-not-elim :args (@t352)) % 0.15/0.42 (step @p578 :rule refl :args (@t354)) % 0.15/0.42 (step @p579 :rule nary_cong :premises (@p578 @p577) :args ((or @t354 (not @t353)))) % 0.15/0.42 (step @p580 :rule cnf_or_neg :args (@t354 0)) % 0.15/0.42 (step @p581 :rule eq_resolve :premises (@p580 @p579)) % 0.15/0.42 (step @p582 :rule reordering :premises (@p581) :args ((or @t352 @t354))) % 0.15/0.42 (step @p583 :rule chain_m_resolution :premises (@p582 @p572) :args (@t352 @t245 @t356)) % 0.15/0.42 (step @p584 :rule cnf_equiv_pos1 :args (@t358)) % 0.15/0.42 (step @p585 :rule reordering :premises (@p584) :args ((or @t353 @t357 (not @t358)))) % 0.15/0.42 (step @p586 :rule chain_m_resolution :premises (@p585 @p583 @p576) :args (@t357 @t308 (@list @t352 @t358))) % 0.15/0.42 (step @p587 :rule cnf_equiv_pos2 :args (@t359)) % 0.15/0.42 (step @p588 :rule reordering :premises (@p587) :args ((or @t351 (not @t357) (not @t359)))) % 0.15/0.42 (step @p589 false :rule chain_m_resolution :premises (@p588 @p586 @p575 @p574) :args (false (@list false false true) (@list @t357 @t359 @t351))) % 0.15/0.42 ) % 0.15/0.42 % SZS output end Proof % 0.15/0.42 % cvc5 exiting %------------------------------------------------------------------------------