%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET787-2 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:48:39 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.40s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET787-2 : TPTP v9.2.1. Released v2.7.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 11:12:15 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.40 % SZS status Unsatisfiable % 0.15/0.40 % SZS output start Proof % 0.15/0.40 ( % 0.15/0.40 (declare-sort $$unsorted 0) % 0.15/0.40 (declare-const tptp.b $$unsorted) % 0.15/0.40 (declare-const tptp.converse_sk1 (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.converse_sk2 (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.converseE_sk2 (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.converseE_sk1 (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.fst (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.qsumE_sk2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.eptset $$unsorted) % 0.15/0.40 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.comp (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.sigmaE_sk1x (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.sigma (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.inr (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.card_Union_sk1 (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.interI_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.vimage (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.qconverseE_sk2 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.fin (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.qconverseE_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.le (-> $$unsorted $$unsorted Bool)) % 0.15/0.40 (declare-const tptp.upair (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.inter (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.15/0.40 (declare-const tptp.ord (-> $$unsorted Bool)) % 0.15/0.40 (declare-const tptp.nat $$unsorted) % 0.15/0.40 (declare-const tptp.subsetD_sk1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.order_Inter_sk1 (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.inl (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.sumE_sk2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.int (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.un (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.qInr (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.powI_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.order_Union_sk1 (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.snd (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.diff (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.pow (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.qsumE_sk1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.compE_sk2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.rmult (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.qsum (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.sk2 $$unsorted) % 0.15/0.40 (declare-const tptp.qPair (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.15/0.40 (declare-const tptp.card (-> $$unsorted Bool)) % 0.15/0.40 (declare-const tptp.qconverse (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.rmultE_c2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.40 (declare-const tptp.rmultE_c1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.40 (declare-const tptp.unionE_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.a $$unsorted) % 0.15/0.40 (declare-const tptp.memrel (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.idE_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.sumE_sk1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.15/0.40 (declare-const tptp.compE_sk1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.sigmaE_sk1y (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.disjsum (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.id (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.field (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.qInl (-> $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.radd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.subsetI_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.compE_sk3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.40 (define @t1 () (@var "V" $$unsorted)) % 0.15/0.40 (define @t2 () (@var "U" $$unsorted)) % 0.15/0.40 (define @t3 () (@list @t2 @t1)) % 0.15/0.40 (define @t4 () (@var "W" $$unsorted)) % 0.15/0.40 (define @t5 () (tptp.member @t2 @t1)) % 0.15/0.40 (define @t6 () (not @t5)) % 0.15/0.40 (define @t7 () (@list @t2 @t1 @t4)) % 0.15/0.40 (define @t8 () (tptp.succ @t2)) % 0.15/0.40 (define @t9 () (tptp.member @t8 tptp.nat)) % 0.15/0.40 (define @t10 () (tptp.member @t2 tptp.nat)) % 0.15/0.40 (define @t11 () (@list @t2)) % 0.15/0.40 (define @t12 () (tptp.inr @t1)) % 0.15/0.40 (define @t13 () (tptp.inr @t2)) % 0.15/0.40 (define @t14 () (= @t13 @t12)) % 0.15/0.40 (define @t15 () (= @t2 @t1)) % 0.15/0.40 (define @t16 () (not @t15)) % 0.15/0.40 (define @t17 () (tptp.inl @t1)) % 0.15/0.40 (define @t18 () (tptp.inl @t2)) % 0.15/0.40 (define @t19 () (= @t18 @t17)) % 0.15/0.40 (define @t20 () (tptp.disjsum @t1 @t4)) % 0.15/0.40 (define @t21 () (tptp.cons @t1 tptp.eptset)) % 0.15/0.40 (define @t22 () (tptp.cons @t2 tptp.eptset)) % 0.15/0.40 (define @t23 () (= @t22 @t21)) % 0.15/0.40 (define @t24 () (tptp.succ @t1)) % 0.15/0.40 (define @t25 () (tptp.member @t2 @t24)) % 0.15/0.40 (define @t26 () (tptp.member @t2 (tptp.cons @t1 @t4))) % 0.15/0.40 (define @t27 () (tptp.member @t2 (tptp.diff @t1 @t4))) % 0.15/0.40 (define @t28 () (tptp.member @t2 @t4)) % 0.15/0.40 (define @t29 () (tptp.member @t2 (tptp.int @t1 @t4))) % 0.15/0.40 (define @t30 () (not @t28)) % 0.15/0.40 (define @t31 () (tptp.member @t2 (tptp.un @t1 @t4))) % 0.15/0.40 (define @t32 () (tptp.member @t2 (tptp.pow @t1))) % 0.15/0.40 (define @t33 () (tptp.powI_sk1 @t2 @t1)) % 0.15/0.40 (define @t34 () (tptp.inter @t1)) % 0.15/0.40 (define @t35 () (tptp.member @t2 @t34)) % 0.15/0.40 (define @t36 () (tptp.member @t4 @t1)) % 0.15/0.40 (define @t37 () (not @t36)) % 0.15/0.40 (define @t38 () (tptp.union @t2)) % 0.15/0.40 (define @t39 () (tptp.card @t38)) % 0.15/0.40 (define @t40 () (tptp.card_Union_sk1 @t2)) % 0.15/0.40 (define @t41 () (tptp.fin @t1)) % 0.15/0.40 (define @t42 () (not (tptp.member @t2 @t41))) % 0.15/0.40 (define @t43 () (tptp.ord (tptp.inter @t2))) % 0.15/0.40 (define @t44 () (tptp.order_Inter_sk1 @t2)) % 0.15/0.40 (define @t45 () (tptp.ord @t38)) % 0.15/0.40 (define @t46 () (tptp.order_Union_sk1 @t2)) % 0.15/0.40 (define @t47 () (tptp.ord @t2)) % 0.15/0.40 (define @t48 () (@var "Y" $$unsorted)) % 0.15/0.40 (define @t49 () (@var "X" $$unsorted)) % 0.15/0.40 (define @t50 () (tptp.pair @t1 @t49)) % 0.15/0.40 (define @t51 () (tptp.pair @t2 @t1)) % 0.15/0.40 (define @t52 () (not (tptp.member @t51 @t4))) % 0.15/0.40 (define @t53 () (@list @t2 @t1 @t4 @t49)) % 0.15/0.40 (define @t54 () (tptp.qInl @t1)) % 0.15/0.40 (define @t55 () (tptp.qInr @t2)) % 0.15/0.40 (define @t56 () (tptp.qInr @t1)) % 0.15/0.40 (define @t57 () (tptp.qInl @t2)) % 0.15/0.40 (define @t58 () (tptp.qsumE_sk2 @t2 @t1 @t4)) % 0.15/0.40 (define @t59 () (tptp.member @t58 @t4)) % 0.15/0.40 (define @t60 () (tptp.qsumE_sk1 @t2 @t1 @t4)) % 0.15/0.40 (define @t61 () (tptp.member @t60 @t1)) % 0.15/0.40 (define @t62 () (not (tptp.member @t2 (tptp.qsum @t1 @t4)))) % 0.15/0.40 (define @t63 () (= @t2 (tptp.qInr @t58))) % 0.15/0.40 (define @t64 () (= @t2 (tptp.qInl @t60))) % 0.15/0.40 (define @t65 () (tptp.qconverseE_sk1 @t2 @t1)) % 0.15/0.40 (define @t66 () (tptp.qconverseE_sk2 @t2 @t1)) % 0.15/0.40 (define @t67 () (not (tptp.member @t2 (tptp.qconverse @t1)))) % 0.15/0.40 (define @t68 () (tptp.qPair @t2 @t1)) % 0.15/0.40 (define @t69 () (= @t2 @t4)) % 0.15/0.40 (define @t70 () (not (= @t68 (tptp.qPair @t4 @t49)))) % 0.15/0.40 (define @t71 () (= @t1 @t49)) % 0.15/0.40 (define @t72 () (@var "X2" $$unsorted)) % 0.15/0.40 (define @t73 () (@var "X1" $$unsorted)) % 0.15/0.40 (define @t74 () (@var "Z" $$unsorted)) % 0.15/0.40 (define @t75 () (tptp.rmultE_c2 @t2 @t1 @t4 @t49 @t48 @t74 @t73 @t72)) % 0.15/0.40 (define @t76 () (tptp.rmultE_c1 @t2 @t1 @t4 @t49 @t48 @t74 @t73 @t72)) % 0.15/0.40 (define @t77 () (tptp.pair @t4 @t49)) % 0.15/0.40 (define @t78 () (@list @t2 @t1 @t4 @t49 @t48 @t74 @t73 @t72)) % 0.15/0.40 (define @t79 () (not @t76)) % 0.15/0.40 (define @t80 () (tptp.member @t2 @t48)) % 0.15/0.40 (define @t81 () (tptp.member @t4 @t48)) % 0.15/0.40 (define @t82 () (tptp.member @t1 @t73)) % 0.15/0.40 (define @t83 () (tptp.member @t49 @t73)) % 0.15/0.40 (define @t84 () (not @t75)) % 0.15/0.40 (define @t85 () (tptp.radd @t4 @t49 @t48 @t74)) % 0.15/0.40 (define @t86 () (@list @t2 @t1 @t4 @t49 @t48 @t74)) % 0.15/0.40 (define @t87 () (not (tptp.member (tptp.pair @t13 @t12) @t85))) % 0.15/0.40 (define @t88 () (tptp.member @t1 @t48)) % 0.15/0.40 (define @t89 () (not (tptp.member (tptp.pair @t18 @t17) @t85))) % 0.15/0.40 (define @t90 () (tptp.member @t1 @t4)) % 0.15/0.40 (define @t91 () (not (tptp.member (tptp.pair @t18 @t12) @t85))) % 0.15/0.40 (define @t92 () (not (tptp.member @t51 (tptp.memrel @t4)))) % 0.15/0.40 (define @t93 () (= @t2 tptp.eptset)) % 0.15/0.40 (define @t94 () (tptp.compE_sk3 @t2 @t1 @t4)) % 0.15/0.40 (define @t95 () (tptp.compE_sk1 @t2 @t1 @t4)) % 0.15/0.40 (define @t96 () (not (tptp.member @t2 (tptp.comp @t1 @t4)))) % 0.15/0.40 (define @t97 () (tptp.compE_sk2 @t2 @t1 @t4)) % 0.15/0.40 (define @t98 () (tptp.idE_sk1 @t2 @t1)) % 0.15/0.40 (define @t99 () (not (tptp.member @t2 (tptp.id @t1)))) % 0.15/0.40 (define @t100 () (tptp.sumE_sk2 @t2 @t1 @t4)) % 0.15/0.40 (define @t101 () (tptp.member @t100 @t4)) % 0.15/0.40 (define @t102 () (tptp.sumE_sk1 @t2 @t1 @t4)) % 0.15/0.40 (define @t103 () (tptp.member @t102 @t1)) % 0.15/0.40 (define @t104 () (not (tptp.member @t2 @t20))) % 0.15/0.40 (define @t105 () (= @t2 (tptp.inr @t100))) % 0.15/0.40 (define @t106 () (= @t2 (tptp.inl @t102))) % 0.15/0.40 (define @t107 () (not (= @t51 @t77))) % 0.15/0.40 (define @t108 () (forall @t3 (or (not (tptp.member @t2 @t21)) @t15))) % 0.15/0.40 (define @t109 () (forall @t7 (or (not @t26) @t15 @t28))) % 0.15/0.40 (define @t110 () (not @t27)) % 0.15/0.40 (define @t111 () (not @t29)) % 0.15/0.40 (define @t112 () (not (tptp.member @t4 @t2))) % 0.15/0.40 (define @t113 () (tptp.unionE_sk1 @t2 @t1)) % 0.15/0.40 (define @t114 () (not (tptp.member @t2 (tptp.union @t1)))) % 0.15/0.40 (define @t115 () (@var "B" $$unsorted)) % 0.15/0.40 (define @t116 () (@var "C" $$unsorted)) % 0.15/0.40 (define @t117 () (tptp.member @t116 @t115)) % 0.15/0.40 (define @t118 () (@var "A" $$unsorted)) % 0.15/0.40 (define @t119 () (not (tptp.member @t116 @t118))) % 0.15/0.40 (define @t120 () (tptp.subset @t118 @t115)) % 0.15/0.40 (define @t121 () (not @t120)) % 0.15/0.40 (define @t122 () (@list @t118 @t115 @t116)) % 0.15/0.40 (define @t123 () (@var "R" $$unsorted)) % 0.15/0.40 (define @t124 () (tptp.member @t118 (tptp.field @t123))) % 0.15/0.40 (define @t125 () (tptp.pair @t118 @t115)) % 0.15/0.40 (define @t126 () (@list @t118 @t115 @t123)) % 0.15/0.40 (define @t127 () (@list @t118 @t115)) % 0.15/0.40 (define @t128 () (@var "D" $$unsorted)) % 0.15/0.40 (define @t129 () (= @t118 @t116)) % 0.15/0.40 (define @t130 () (tptp.subsetI_sk1 @t118 @t115)) % 0.15/0.40 (define @t131 () (@list @t118)) % 0.15/0.40 (define @t132 () (not (tptp.member @t49 tptp.eptset))) % 0.15/0.40 (define @t133 () (tptp.upair @t118 @t115)) % 0.15/0.40 (define @t134 () (= @t118 @t115)) % 0.15/0.40 (define @t135 () (@var "I" $$unsorted)) % 0.15/0.40 (define @t136 () (@var "J" $$unsorted)) % 0.15/0.40 (define @t137 () (tptp.sigmaE_sk1x @t118 @t115 @t116)) % 0.15/0.40 (define @t138 () (tptp.sigma @t118 @t115)) % 0.15/0.40 (define @t139 () (not (tptp.member @t116 @t138))) % 0.15/0.40 (define @t140 () (@list @t116 @t118 @t115)) % 0.15/0.40 (define @t141 () (tptp.sigmaE_sk1y @t118 @t115 @t116)) % 0.15/0.40 (define @t142 () (tptp.subset @t115 @t118)) % 0.15/0.40 (define @t143 () (not @t134)) % 0.15/0.40 (define @t144 () (@var "V_b" $$unsorted)) % 0.15/0.40 (define @t145 () (@var "V_a" $$unsorted)) % 0.15/0.40 (define @t146 () (@var "P" $$unsorted)) % 0.15/0.40 (define @t147 () (tptp.fst @t146)) % 0.15/0.40 (define @t148 () (not (tptp.member @t146 @t138))) % 0.15/0.40 (define @t149 () (@list @t146 @t118 @t115)) % 0.15/0.40 (define @t150 () (tptp.member @t116 (tptp.un @t118 @t115))) % 0.15/0.40 (define @t151 () (tptp.converse @t123)) % 0.15/0.40 (define @t152 () (@var "YX" $$unsorted)) % 0.15/0.40 (define @t153 () (not (tptp.member @t152 @t151))) % 0.15/0.40 (define @t154 () (@list @t152 @t123)) % 0.15/0.40 (define @t155 () (tptp.cons tptp.b tptp.eptset)) % 0.15/0.40 (define @t156 () (tptp.cons tptp.a @t155)) % 0.15/0.40 (define @t157 () (tptp.member tptp.sk2 (tptp.union @t156))) % 0.15/0.40 (define @t158 () (tptp.member tptp.sk2 (tptp.un tptp.a tptp.b))) % 0.15/0.40 (define @t159 () (tptp.member tptp.sk2 tptp.b)) % 0.15/0.40 (define @t160 () (not @t159)) % 0.15/0.40 (define @t161 () (or @t160 @t158)) % 0.15/0.40 (define @t162 () (@list true false)) % 0.15/0.40 (define @t163 () (@list tptp.sk2 @t156)) % 0.15/0.40 (define @t164 () (tptp.unionE_sk1 tptp.sk2 @t156)) % 0.15/0.40 (define @t165 () (tptp.member tptp.sk2 @t164)) % 0.15/0.40 (define @t166 () (not @t157)) % 0.15/0.40 (define @t167 () (or @t166 @t165)) % 0.15/0.40 (define @t168 () (@list false false)) % 0.15/0.40 (define @t169 () (tptp.member @t164 @t155)) % 0.15/0.40 (define @t170 () (not @t169)) % 0.15/0.40 (define @t171 () (or @t170 (= @t164 tptp.b))) % 0.15/0.40 (define @t172 () (= tptp.b @t164)) % 0.15/0.40 (define @t173 () (or @t170 @t172)) % 0.15/0.40 (define @t174 () (@list false)) % 0.15/0.40 (define @t175 () (tptp.member @t164 @t156)) % 0.15/0.40 (define @t176 () (not @t175)) % 0.15/0.40 (define @t177 () (or @t176 (= @t164 tptp.a) @t169)) % 0.15/0.40 (define @t178 () (= tptp.a @t164)) % 0.15/0.40 (define @t179 () (or @t176 @t178 @t169)) % 0.15/0.40 (define @t180 () (tptp.member tptp.sk2 tptp.a)) % 0.15/0.40 (define @t181 () (not @t180)) % 0.15/0.40 (define @t182 () (or @t181 @t158)) % 0.15/0.40 (define @t183 () (not @t178)) % 0.15/0.40 (define @t184 () (not @t165)) % 0.15/0.40 (define @t185 () (= true false)) % 0.15/0.40 (define @t186 () (and @t181 @t178 @t165)) % 0.15/0.40 (define @t187 () (or @t166 @t175)) % 0.15/0.40 (define @t188 () (not @t172)) % 0.15/0.40 (define @t189 () (and @t160 @t172 @t165)) % 0.15/0.40 (assume @p1 (forall @t3 (tptp.member @t2 (tptp.cons @t2 @t1)))) % 0.15/0.40 (assume @p2 (forall @t7 (or @t6 (tptp.member @t2 (tptp.cons @t4 @t1))))) % 0.15/0.40 (assume @p3 (forall @t11 (or (not @t10) @t9))) % 0.15/0.40 (assume @p4 (forall @t3 (or @t16 @t14))) % 0.15/0.40 (assume @p5 (forall @t3 (or @t16 @t19))) % 0.15/0.40 (assume @p6 (forall @t7 (or @t6 (tptp.member @t18 @t20)))) % 0.15/0.40 (assume @p7 (forall @t7 (or @t6 (tptp.member @t13 (tptp.disjsum @t4 @t1))))) % 0.15/0.40 (assume @p8 (forall @t3 (or @t16 @t23))) % 0.15/0.40 (assume @p9 (forall @t3 (or @t6 @t25))) % 0.15/0.40 (assume @p10 (forall @t3 (or @t16 @t25))) % 0.15/0.40 (assume @p11 (forall @t11 (tptp.member @t2 @t22))) % 0.15/0.40 (assume @p12 (forall @t7 (or @t16 @t26))) % 0.15/0.40 (assume @p13 (forall @t7 (or @t6 @t28 @t27))) % 0.15/0.40 (assume @p14 (forall @t7 (or @t6 @t30 @t29))) % 0.15/0.40 (assume @p15 (forall @t7 (or @t6 (tptp.member @t2 (tptp.un @t4 @t1))))) % 0.15/0.40 (assume @p16 (forall @t7 (or @t6 @t31))) % 0.15/0.40 (assume @p17 (forall @t3 (or (tptp.member @t33 @t2) @t32))) % 0.15/0.40 (assume @p18 (forall @t3 (or (not (tptp.member @t33 @t1)) @t32))) % 0.15/0.40 (assume @p19 (forall @t7 (or @t6 (tptp.member (tptp.interI_sk1 @t4 @t1) @t1) (tptp.member @t4 @t34)))) % 0.15/0.40 (assume @p20 (forall @t7 (or (not (tptp.member @t2 (tptp.interI_sk1 @t2 @t1))) @t37 @t35))) % 0.15/0.40 (assume @p21 (forall @t11 (or (tptp.member @t40 @t2) @t39))) % 0.15/0.40 (assume @p22 (forall @t11 (or (not (tptp.card @t40)) @t39))) % 0.15/0.40 (assume @p23 (forall @t7 (or @t42 (tptp.member (tptp.int @t2 @t4) @t41)))) % 0.15/0.40 (assume @p24 (forall @t7 (or @t42 (tptp.member (tptp.int @t4 @t2) @t41)))) % 0.15/0.40 (assume @p25 (forall @t11 (or (tptp.member @t44 @t2) @t43))) % 0.15/0.40 (assume @p26 (forall @t11 (or (not (tptp.ord @t44)) @t43))) % 0.15/0.40 (assume @p27 (forall @t11 (or (tptp.member @t46 @t2) @t45))) % 0.15/0.40 (assume @p28 (forall @t11 (or (not (tptp.ord @t46)) @t45))) % 0.15/0.40 (assume @p29 (forall @t3 (or (not @t47) (not (tptp.ord @t1)) (tptp.ord (tptp.un @t2 @t1))))) % 0.15/0.40 (assume @p30 (forall (@list @t2 @t1 @t4 @t49 @t48) (or @t52 (not (tptp.member @t50 @t48)) (tptp.member (tptp.pair @t2 @t49) (tptp.comp @t48 @t4))))) % 0.15/0.40 (assume @p31 (forall @t53 (or @t52 (not (tptp.member @t1 @t49)) (tptp.member @t2 (tptp.vimage @t4 @t49))))) % 0.15/0.40 (assume @p32 (forall @t53 (or @t52 (not (tptp.member @t2 @t49)) (tptp.member @t1 (tptp.image @t4 @t49))))) % 0.15/0.40 (assume @p33 (forall @t3 (not (= @t55 @t54)))) % 0.15/0.40 (assume @p34 (forall @t3 (not (= @t57 @t56)))) % 0.15/0.40 (assume @p35 (forall @t3 (or (not (= @t55 @t56)) @t15))) % 0.15/0.40 (assume @p36 (forall @t3 (or (not (= @t57 @t54)) @t15))) % 0.15/0.40 (assume @p37 (forall @t7 (or @t62 @t61 @t59))) % 0.15/0.40 (assume @p38 (forall @t7 (or @t62 @t61 @t63))) % 0.15/0.40 (assume @p39 (forall @t7 (or @t62 @t64 @t59))) % 0.15/0.40 (assume @p40 (forall @t7 (or @t62 @t64 @t63))) % 0.15/0.40 (assume @p41 (forall @t3 (or @t67 (= @t2 (tptp.qPair @t66 @t65))))) % 0.15/0.40 (assume @p42 (forall @t3 (or @t67 (tptp.member (tptp.qPair @t65 @t66) @t1)))) % 0.15/0.40 (assume @p43 (forall @t7 (or (not (tptp.member @t68 (tptp.qconverse @t4))) (tptp.member (tptp.qPair @t1 @t2) @t4)))) % 0.15/0.40 (assume @p44 (forall @t53 (or @t70 @t69))) % 0.15/0.40 (assume @p45 (forall @t53 (or @t70 @t71))) % 0.15/0.40 (assume @p46 (forall @t11 (or (not @t9) @t10))) % 0.15/0.40 (assume @p47 (forall @t78 (or (not (tptp.member (tptp.pair @t51 @t77) (tptp.rmult @t48 @t74 @t73 @t72))) @t76 @t75))) % 0.15/0.40 (assume @p48 (forall @t78 (or @t79 (tptp.member (tptp.pair @t2 @t4) @t74)))) % 0.15/0.40 (assume @p49 (forall @t78 (or @t79 @t80))) % 0.15/0.40 (assume @p50 (forall @t78 (or @t79 @t81))) % 0.15/0.40 (assume @p51 (forall @t78 (or @t79 @t82))) % 0.15/0.40 (assume @p52 (forall @t78 (or @t79 @t83))) % 0.15/0.40 (assume @p53 (forall @t78 (or @t84 (tptp.member @t50 @t72)))) % 0.15/0.40 (assume @p54 (forall @t78 (or @t84 @t81))) % 0.15/0.40 (assume @p55 (forall @t78 (or @t84 @t69))) % 0.15/0.40 (assume @p56 (forall @t78 (or @t84 @t82))) % 0.15/0.40 (assume @p57 (forall @t78 (or @t84 @t83))) % 0.15/0.40 (assume @p58 (forall @t86 (not (tptp.member (tptp.pair @t13 @t17) @t85)))) % 0.15/0.40 (assume @p59 (forall @t86 (or @t87 @t80))) % 0.15/0.40 (assume @p60 (forall @t86 (or @t87 @t88))) % 0.15/0.40 (assume @p61 (forall @t86 (or @t87 (tptp.member @t51 @t74)))) % 0.15/0.40 (assume @p62 (forall @t86 (or @t89 @t28))) % 0.15/0.40 (assume @p63 (forall @t86 (or @t89 @t90))) % 0.15/0.40 (assume @p64 (forall @t86 (or @t89 (tptp.member @t51 @t49)))) % 0.15/0.40 (assume @p65 (forall @t86 (or @t91 @t28))) % 0.15/0.40 (assume @p66 (forall @t86 (or @t91 @t88))) % 0.15/0.40 (assume @p67 (forall @t3 (or (not (tptp.le @t8 @t1)) (tptp.lt @t2 @t1)))) % 0.15/0.40 (assume @p68 (forall @t11 (or (not (tptp.le tptp.eptset @t8)) @t47))) % 0.15/0.40 (assume @p69 (forall @t7 (or @t92 @t28))) % 0.15/0.40 (assume @p70 (forall @t7 (or @t92 @t90))) % 0.15/0.40 (assume @p71 (forall @t7 (or @t92 @t5))) % 0.15/0.40 (assume @p72 (forall @t11 (or (not (tptp.le @t2 tptp.eptset)) @t93))) % 0.15/0.40 (assume @p73 (forall @t11 (or (not (tptp.le @t2 @t2)) @t47))) % 0.15/0.40 (assume @p74 (forall @t11 (or (not (tptp.ord @t8)) @t47))) % 0.15/0.40 (assume @p75 (forall @t7 (or @t96 (= @t2 (tptp.pair @t95 @t94))))) % 0.15/0.40 (assume @p76 (forall @t7 (or @t96 (tptp.member (tptp.pair @t95 @t97) @t4)))) % 0.15/0.40 (assume @p77 (forall @t7 (or @t96 (tptp.member (tptp.pair @t97 @t94) @t1)))) % 0.15/0.40 (assume @p78 (forall @t3 (or @t99 (tptp.member @t98 @t1)))) % 0.15/0.40 (assume @p79 (forall @t3 (or @t99 (= @t2 (tptp.pair @t98 @t98))))) % 0.15/0.40 (assume @p80 (forall @t3 (not (= @t13 @t17)))) % 0.15/0.40 (assume @p81 (forall @t3 (not (= @t18 @t12)))) % 0.15/0.40 (assume @p82 (forall @t3 (or (not @t14) @t15))) % 0.15/0.40 (assume @p83 (forall @t3 (or (not @t19) @t15))) % 0.15/0.40 (assume @p84 (forall @t7 (or @t104 @t103 @t101))) % 0.15/0.40 (assume @p85 (forall @t7 (or @t104 @t103 @t105))) % 0.15/0.40 (assume @p86 (forall @t7 (or @t104 @t106 @t101))) % 0.15/0.40 (assume @p87 (forall @t7 (or @t104 @t106 @t105))) % 0.15/0.40 (assume @p88 (forall @t53 (or @t107 @t69))) % 0.15/0.40 (assume @p89 (forall @t53 (or @t107 @t71))) % 0.15/0.40 (assume @p90 (forall @t3 (or (not @t23) @t15))) % 0.15/0.40 (assume @p91 (forall @t3 (or (not (= @t8 @t24)) @t15))) % 0.15/0.40 (assume @p92 (forall @t3 (or (not @t25) @t15 @t5))) % 0.15/0.40 (assume @p93 @t108) % 0.15/0.40 (assume @p94 @t109) % 0.15/0.40 (assume @p95 (forall @t7 (or @t110 @t5))) % 0.15/0.40 (assume @p96 (forall @t7 (or @t110 @t30))) % 0.15/0.40 (assume @p97 (forall @t7 (or @t111 @t5))) % 0.15/0.40 (assume @p98 (forall @t7 (or @t111 @t28))) % 0.15/0.40 (assume @p99 (forall @t7 (or (not @t31) @t5 @t28))) % 0.15/0.40 (assume @p100 (forall @t7 (or (not @t32) @t112 @t36))) % 0.15/0.40 (assume @p101 (forall @t3 (or @t114 (tptp.member @t2 @t113)))) % 0.15/0.40 (assume @p102 (forall @t3 (or @t114 (tptp.member @t113 @t1)))) % 0.15/0.40 (assume @p103 (forall @t3 (or (not @t93) (not (tptp.member @t1 @t2))))) % 0.15/0.40 (assume @p104 (forall @t7 (or (not @t35) @t37 @t28))) % 0.15/0.40 (assume @p105 (forall @t7 (or @t6 (tptp.member (tptp.subsetD_sk1 @t1 @t4 @t2) @t1) @t28))) % 0.15/0.40 (assume @p106 (forall @t7 (or (not (tptp.member (tptp.subsetD_sk1 @t2 @t1 @t4) @t1)) @t112 @t36))) % 0.15/0.40 (assume @p107 (forall @t122 (or @t121 @t119 @t117))) % 0.15/0.40 (assume @p108 (forall (@list @t116 @t118 @t123) (or (not (tptp.member (tptp.pair @t116 @t118) @t123)) @t124))) % 0.15/0.40 (assume @p109 (forall @t126 (or (not (tptp.member @t125 @t123)) @t124))) % 0.15/0.40 (assume @p110 (forall @t127 (not (= @t125 tptp.eptset)))) % 0.15/0.40 (assume @p111 (forall @t127 (not (= @t125 @t118)))) % 0.15/0.40 (assume @p112 (forall @t127 (not (= @t125 @t115)))) % 0.15/0.40 (assume @p113 (forall (@list @t118 @t116 @t115 @t128) (or (not @t129) (not (= @t115 @t128)) (= @t125 (tptp.pair @t116 @t128))))) % 0.15/0.40 (assume @p114 (forall @t127 (or (tptp.member @t130 @t118) @t120))) % 0.15/0.40 (assume @p115 (forall @t127 (or (not (tptp.member @t130 @t115)) @t120))) % 0.15/0.40 (assume @p116 (forall @t131 (tptp.subset @t118 @t118))) % 0.15/0.40 (assume @p117 (forall @t122 (or @t121 (not (tptp.subset @t115 @t116)) (tptp.subset @t118 @t116)))) % 0.15/0.40 (assume @p118 (forall (@list @t49 @t118) (or @t132 (tptp.member @t49 @t118)))) % 0.15/0.40 (assume @p119 (forall @t131 (tptp.subset tptp.eptset @t118))) % 0.15/0.40 (assume @p120 (forall @t127 (tptp.member @t118 @t133))) % 0.15/0.40 (assume @p121 (forall (@list @t115 @t118) (tptp.member @t115 @t133))) % 0.15/0.40 (assume @p122 (forall @t122 (or (not (tptp.member @t118 (tptp.upair @t115 @t116))) @t134 @t129))) % 0.15/0.40 (assume @p123 (forall (@list @t135) (tptp.member @t135 (tptp.succ @t135)))) % 0.15/0.40 (assume @p124 (forall (@list @t135 @t136) (or (not (tptp.member @t135 @t136)) (tptp.member @t135 (tptp.succ @t136))))) % 0.15/0.40 (assume @p125 (forall (@list @t115 @t116 @t118) (or (not (tptp.member @t115 @t116)) (not (tptp.member @t118 @t115)) (tptp.member @t118 (tptp.union @t116))))) % 0.15/0.40 (assume @p126 (forall @t140 (or @t139 (tptp.member @t137 @t118)))) % 0.15/0.40 (assume @p127 (forall @t140 (or @t139 (tptp.member @t141 (tptp.apply @t115 @t137))))) % 0.15/0.40 (assume @p128 (forall @t140 (or @t139 (= @t116 (tptp.pair @t137 @t141))))) % 0.15/0.40 (assume @p129 (forall @t127 (or @t121 (not @t142) @t134))) % 0.15/0.40 (assume @p130 (forall @t127 (or @t143 @t120))) % 0.15/0.40 (assume @p131 (forall @t127 (or @t143 @t142))) % 0.15/0.40 (assume @p132 (forall (@list @t115) (tptp.member tptp.eptset (tptp.pow @t115)))) % 0.15/0.40 (assume @p133 (forall @t131 (tptp.member @t118 (tptp.pow @t118)))) % 0.15/0.40 (assume @p134 (forall (@list @t145 @t118 @t144 @t115) (or (not (tptp.member @t145 @t118)) (not (tptp.member @t144 (tptp.apply @t115 @t145))) (tptp.member (tptp.pair @t145 @t144) @t138)))) % 0.15/0.40 (assume @p135 (forall @t149 (or @t148 (tptp.member @t147 @t118)))) % 0.15/0.40 (assume @p136 (forall @t149 (or @t148 (tptp.member (tptp.snd @t146) (tptp.apply @t115 @t147))))) % 0.15/0.40 (assume @p137 (forall @t127 (= (tptp.fst @t125) @t118))) % 0.15/0.40 (assume @p138 (forall @t127 (= (tptp.snd @t125) @t115))) % 0.15/0.40 (assume @p139 (forall (@list @t49) @t132)) % 0.15/0.40 (assume @p140 (forall @t140 (or @t119 @t150))) % 0.15/0.40 (assume @p141 (forall (@list @t116 @t115 @t118) (or (not @t117) @t150))) % 0.15/0.40 (assume @p142 (forall @t7 (or @t52 (tptp.member (tptp.pair @t1 @t2) (tptp.converse @t4))))) % 0.15/0.40 (assume @p143 (forall @t126 (or (not (tptp.member @t125 @t151)) (tptp.member (tptp.pair @t115 @t118) @t123)))) % 0.15/0.40 (assume @p144 (forall @t154 (or @t153 (= @t152 (tptp.pair (tptp.converseE_sk2 @t152) (tptp.converseE_sk1 @t152)))))) % 0.15/0.40 (assume @p145 (forall @t154 (or @t153 (tptp.member (tptp.pair (tptp.converse_sk1 @t152) (tptp.converse_sk2 @t152)) @t123)))) % 0.15/0.40 (assume @p146 @t157) % 0.15/0.40 (assume @p147 (not @t158)) % 0.15/0.40 (step @p148 :rule instantiate :premises (@p15) :args ((@list tptp.sk2 tptp.b tptp.a))) % 0.15/0.40 (step @p149 :rule cnf_or_pos :args (@t161)) % 0.15/0.40 (step @p150 :rule reordering :premises (@p149) :args ((or @t158 @t160 (not @t161)))) % 0.15/0.40 (step @p151 :rule chain_m_resolution :premises (@p150 @p147 @p148) :args (@t160 @t162 (@list @t158 @t161))) % 0.15/0.40 (step @p152 :rule instantiate :premises (@p101) :args (@t163)) % 0.15/0.40 (step @p153 :rule cnf_or_pos :args (@t167)) % 0.15/0.40 (step @p154 :rule reordering :premises (@p153) :args ((or @t166 @t165 (not @t167)))) % 0.15/0.40 (step @p155 :rule chain_m_resolution :premises (@p154 @p146 @p152) :args (@t165 @t168 (@list @t157 @t167))) % 0.15/0.40 (step @p156 :rule eq-symm :args (@t164 tptp.b)) % 0.15/0.40 (step @p157 :rule refl :args (@t170)) % 0.15/0.40 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t171)) % 0.15/0.40 (step @p159 :rule refl :args (@t108)) % 0.15/0.40 (step @p160 :rule cong :premises (@p159 @p158) :args ((=> @t108 @t171))) % 0.15/0.40 (assume-push @p256 @t108) % 0.15/0.40 (step @p162 :rule instantiate :premises (@p93) :args ((@list @t164 tptp.b))) % 0.15/0.40 (step-pop @p257 :rule scope :premises (@p162)) % 0.15/0.40 (step @p163 :rule process_scope :premises (@p257) :args (@t171)) % 0.15/0.40 (step @p165 :rule eq_resolve :premises (@p163 @p160)) % 0.15/0.40 (step @p166 :rule implies_elim :premises (@p165)) % 0.15/0.40 (step @p167 :rule chain_m_resolution :premises (@p166 @p93) :args (@t173 @t174 (@list @t108))) % 0.15/0.40 (step @p168 :rule refl :args (@t169)) % 0.15/0.40 (step @p169 :rule eq-symm :args (@t164 tptp.a)) % 0.15/0.40 (step @p170 :rule refl :args (@t176)) % 0.15/0.40 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168) :args (@t177)) % 0.15/0.40 (step @p172 :rule refl :args (@t109)) % 0.15/0.40 (step @p173 :rule cong :premises (@p172 @p171) :args ((=> @t109 @t177))) % 0.15/0.40 (assume-push @p258 @t109) % 0.15/0.40 (step @p175 :rule instantiate :premises (@p94) :args ((@list @t164 tptp.a @t155))) % 0.15/0.40 (step-pop @p259 :rule scope :premises (@p175)) % 0.15/0.40 (step @p176 :rule process_scope :premises (@p259) :args (@t177)) % 0.15/0.40 (step @p178 :rule eq_resolve :premises (@p176 @p173)) % 0.15/0.40 (step @p179 :rule implies_elim :premises (@p178)) % 0.15/0.40 (step @p180 :rule chain_m_resolution :premises (@p179 @p94) :args (@t179 @t174 (@list @t109))) % 0.15/0.40 (step @p181 :rule instantiate :premises (@p16) :args ((@list tptp.sk2 tptp.a tptp.b))) % 0.15/0.40 (step @p182 :rule cnf_or_pos :args (@t182)) % 0.15/0.40 (step @p183 :rule reordering :premises (@p182) :args ((or @t158 @t181 (not @t182)))) % 0.15/0.40 (step @p184 :rule chain_m_resolution :premises (@p183 @p147 @p181) :args (@t181 @t162 (@list @t158 @t182))) % 0.15/0.40 (step @p185 :rule refl :args (@t183)) % 0.15/0.40 (step @p186 :rule refl :args (@t184)) % 0.15/0.40 (step @p187 :rule bool-double-not-elim :args (@t180)) % 0.15/0.40 (step @p188 :rule nary_cong :premises (@p187 @p186 @p185) :args ((or (not @t181) @t184 @t183))) % 0.15/0.40 (assume-push @p260 @t181) % 0.15/0.40 (assume-push @p261 @t178) % 0.15/0.40 (assume-push @p262 @t165) % 0.15/0.40 (step @p192 :rule evaluate :args (@t185)) % 0.15/0.40 (step @p193 :rule false_intro :premises (@p184)) % 0.15/0.40 (step @p194 :rule symm :premises (@p261)) % 0.15/0.40 (step @p195 :rule refl :args (tptp.sk2)) % 0.15/0.40 (step @p196 :rule cong :premises (@p195 @p194) :args (@t165)) % 0.15/0.40 (step @p197 :rule true_intro :premises (@p155)) % 0.15/0.40 (step @p198 :rule symm :premises (@p197)) % 0.15/0.40 (step @p199 :rule trans :premises (@p198 @p196 @p193)) % 0.15/0.40 (step @p200 false :rule eq_resolve :premises (@p199 @p192)) % 0.15/0.40 (step-pop @p263 :rule scope :premises (@p200)) % 0.15/0.40 (step-pop @p264 :rule scope :premises (@p263)) % 0.15/0.40 (step-pop @p265 :rule scope :premises (@p264)) % 0.15/0.40 (step @p201 :rule process_scope :premises (@p265) :args (false)) % 0.15/0.40 (assume-push @p266 @t181) % 0.15/0.40 (assume-push @p267 @t165) % 0.15/0.40 (assume-push @p268 @t178) % 0.15/0.40 (step @p208 :rule and_intro :premises (@p184 @p268 @p155)) % 0.15/0.40 (step-pop @p269 :rule scope :premises (@p208)) % 0.15/0.40 (step-pop @p270 :rule scope :premises (@p269)) % 0.15/0.40 (step-pop @p271 :rule scope :premises (@p270)) % 0.15/0.40 (step @p209 :rule process_scope :premises (@p271) :args (@t186)) % 0.15/0.40 (step @p213 :rule implies_elim :premises (@p209)) % 0.15/0.40 (step @p214 :rule resolution :premises (@p213 @p201) :args (true @t186)) % 0.15/0.40 (step @p215 :rule not_and :premises (@p214)) % 0.15/0.40 (step @p216 :rule eq_resolve :premises (@p215 @p188)) % 0.15/0.40 (step @p217 :rule chain_m_resolution :premises (@p216 @p184 @p155) :args (@t183 @t162 (@list @t180 @t165))) % 0.15/0.40 (step @p218 :rule instantiate :premises (@p102) :args (@t163)) % 0.15/0.40 (step @p219 :rule cnf_or_pos :args (@t187)) % 0.15/0.40 (step @p220 :rule reordering :premises (@p219) :args ((or @t166 @t175 (not @t187)))) % 0.15/0.40 (step @p221 :rule chain_m_resolution :premises (@p220 @p146 @p218) :args (@t175 @t168 (@list @t157 @t187))) % 0.15/0.40 (step @p222 :rule cnf_or_pos :args (@t179)) % 0.15/0.40 (step @p223 :rule reordering :premises (@p222) :args ((or @t176 @t169 @t178 (not @t179)))) % 0.15/0.40 (step @p224 :rule chain_m_resolution :premises (@p223 @p221 @p217 @p180) :args (@t169 (@list false true false) (@list @t175 @t178 @t179))) % 0.15/0.40 (step @p225 :rule cnf_or_pos :args (@t173)) % 0.15/0.40 (step @p226 :rule reordering :premises (@p225) :args ((or @t170 @t172 (not @t173)))) % 0.15/0.40 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p167) :args (@t172 @t168 (@list @t169 @t173))) % 0.15/0.40 (step @p228 :rule refl :args (@t188)) % 0.15/0.40 (step @p229 :rule bool-double-not-elim :args (@t159)) % 0.15/0.40 (step @p230 :rule nary_cong :premises (@p229 @p186 @p228) :args ((or (not @t160) @t184 @t188))) % 0.15/0.40 (assume-push @p272 @t160) % 0.15/0.40 (assume-push @p273 @t172) % 0.15/0.40 (assume-push @p274 @t165) % 0.15/0.40 (step @p192 :rule evaluate :args (@t185)) % 0.15/0.40 (step @p234 :rule false_intro :premises (@p151)) % 0.15/0.40 (step @p235 :rule symm :premises (@p273)) % 0.15/0.40 (step @p195 :rule refl :args (tptp.sk2)) % 0.15/0.40 (step @p236 :rule cong :premises (@p195 @p235) :args (@t165)) % 0.15/0.40 (step @p197 :rule true_intro :premises (@p155)) % 0.15/0.40 (step @p198 :rule symm :premises (@p197)) % 0.15/0.40 (step @p237 :rule trans :premises (@p198 @p236 @p234)) % 0.15/0.40 (step @p238 false :rule eq_resolve :premises (@p237 @p192)) % 0.15/0.40 (step-pop @p275 :rule scope :premises (@p238)) % 0.15/0.40 (step-pop @p276 :rule scope :premises (@p275)) % 0.15/0.40 (step-pop @p277 :rule scope :premises (@p276)) % 0.15/0.40 (step @p239 :rule process_scope :premises (@p277) :args (false)) % 0.15/0.40 (assume-push @p278 @t160) % 0.15/0.40 (assume-push @p279 @t165) % 0.15/0.40 (assume-push @p280 @t172) % 0.15/0.40 (step @p246 :rule and_intro :premises (@p151 @p280 @p155)) % 0.15/0.40 (step-pop @p281 :rule scope :premises (@p246)) % 0.15/0.40 (step-pop @p282 :rule scope :premises (@p281)) % 0.15/0.40 (step-pop @p283 :rule scope :premises (@p282)) % 0.15/0.40 (step @p247 :rule process_scope :premises (@p283) :args (@t189)) % 0.15/0.40 (step @p251 :rule implies_elim :premises (@p247)) % 0.15/0.40 (step @p252 :rule resolution :premises (@p251 @p239) :args (true @t189)) % 0.15/0.40 (step @p253 :rule not_and :premises (@p252)) % 0.15/0.40 (step @p254 :rule eq_resolve :premises (@p253 @p230)) % 0.15/0.40 (step @p255 false :rule chain_m_resolution :premises (@p254 @p227 @p155 @p151) :args (false (@list false false true) (@list @t172 @t165 @t159))) % 0.15/0.40 ) % 0.15/0.41 % SZS output end Proof % 0.15/0.41 % cvc5 exiting %------------------------------------------------------------------------------