%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET018+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 : n023.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 08:46:58 AM UTC 2026 % Result : Theorem 132.46s 132.66s % Output : Proof 132.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET018+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n023.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 14:41:28 EDT 2026 % 0.16/0.35 % CPUTime : % 0.34/0.51 %----Proving TF0_NAR, FOF, or CNF % 132.46/132.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 132.46/132.66 --- Run --no-e-matching --full-saturate-quant at 6... % 132.46/132.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 132.46/132.66 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 132.46/132.66 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 132.46/132.66 --- Run --trigger-sel=max --full-saturate-quant at 15... % 132.46/132.66 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 132.46/132.66 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 132.46/132.66 --- Run --prenex-quant=none --full-saturate-quant at 30... % 132.46/132.66 % SZS status Theorem % 132.46/132.66 % SZS output start Proof % 132.46/132.66 ( % 132.46/132.66 (declare-sort $$unsorted 0) % 132.46/132.66 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 132.46/132.66 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.element_relation $$unsorted) % 132.46/132.66 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.universal_class $$unsorted) % 132.46/132.66 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.inductive (-> $$unsorted Bool)) % 132.46/132.66 (declare-const tptp.function (-> $$unsorted Bool)) % 132.46/132.66 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 132.46/132.66 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 132.46/132.66 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.null_class $$unsorted) % 132.46/132.66 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.successor_relation $$unsorted) % 132.46/132.66 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 132.46/132.66 (declare-const tptp.identity_relation $$unsorted) % 132.46/132.66 (define @t1 () (@var "Y" $$unsorted)) % 132.46/132.66 (define @t2 () (@var "U" $$unsorted)) % 132.46/132.66 (define @t3 () (tptp.member @t2 @t1)) % 132.46/132.66 (define @t4 () (@var "X" $$unsorted)) % 132.46/132.66 (define @t5 () (tptp.member @t2 @t4)) % 132.46/132.66 (define @t6 () (@list @t2)) % 132.46/132.66 (define @t7 () (tptp.subclass @t4 @t1)) % 132.46/132.66 (define @t8 () (@list @t4 @t1)) % 132.46/132.66 (define @t9 () (@list @t4)) % 132.46/132.66 (define @t10 () (or (= @t2 @t4) (= @t2 @t1))) % 132.46/132.66 (define @t11 () (tptp.member @t2 tptp.universal_class)) % 132.46/132.66 (define @t12 () (and @t11 @t10)) % 132.46/132.66 (define @t13 () (tptp.unordered_pair @t4 @t1)) % 132.46/132.66 (define @t14 () (tptp.member @t2 @t13)) % 132.46/132.66 (define @t15 () (= @t14 @t12)) % 132.46/132.66 (define @t16 () (@list @t2 @t4 @t1)) % 132.46/132.66 (define @t17 () (forall @t16 @t15)) % 132.46/132.66 (define @t18 () (tptp.singleton @t4)) % 132.46/132.66 (define @t19 () (tptp.singleton @t1)) % 132.46/132.66 (define @t20 () (tptp.ordered_pair @t4 @t1)) % 132.46/132.66 (define @t21 () (@var "V" $$unsorted)) % 132.46/132.66 (define @t22 () (tptp.cross_product @t4 @t1)) % 132.46/132.66 (define @t23 () (tptp.ordered_pair @t2 @t21)) % 132.46/132.66 (define @t24 () (tptp.second @t20)) % 132.46/132.66 (define @t25 () (tptp.first @t20)) % 132.46/132.66 (define @t26 () (and (= @t25 @t4) (= @t24 @t1))) % 132.46/132.66 (define @t27 () (tptp.member @t1 tptp.universal_class)) % 132.46/132.66 (define @t28 () (tptp.member @t4 tptp.universal_class)) % 132.46/132.66 (define @t29 () (and @t28 @t27)) % 132.46/132.66 (define @t30 () (=> @t29 @t26)) % 132.46/132.66 (define @t31 () (forall @t8 @t30)) % 132.46/132.66 (define @t32 () (@var "Z" $$unsorted)) % 132.46/132.66 (define @t33 () (@list @t4 @t1 @t32)) % 132.46/132.66 (define @t34 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 132.46/132.66 (define @t35 () (tptp.member @t32 @t1)) % 132.46/132.66 (define @t36 () (tptp.member @t32 @t4)) % 132.46/132.66 (define @t37 () (tptp.member @t32 tptp.universal_class)) % 132.46/132.66 (define @t38 () (@list @t4 @t32)) % 132.46/132.66 (define @t39 () (@var "XR" $$unsorted)) % 132.46/132.66 (define @t40 () (@var "W" $$unsorted)) % 132.46/132.66 (define @t41 () (tptp.cross_product @t34 tptp.universal_class)) % 132.46/132.66 (define @t42 () (tptp.ordered_pair @t23 @t40)) % 132.46/132.66 (define @t43 () (tptp.member @t42 @t41)) % 132.46/132.66 (define @t44 () (tptp.rotate @t4)) % 132.46/132.66 (define @t45 () (tptp.flip @t4)) % 132.46/132.66 (define @t46 () (tptp.successor @t4)) % 132.46/132.66 (define @t47 () (@list @t1)) % 132.46/132.66 (define @t48 () (@list @t32)) % 132.46/132.66 (define @t49 () (tptp.inductive @t4)) % 132.46/132.66 (define @t50 () (tptp.sum_class @t4)) % 132.46/132.66 (define @t51 () (@list @t2 @t4)) % 132.46/132.66 (define @t52 () (@var "YR" $$unsorted)) % 132.46/132.66 (define @t53 () (tptp.compose @t52 @t39)) % 132.46/132.66 (define @t54 () (@var "XF" $$unsorted)) % 132.46/132.66 (define @t55 () (tptp.function @t54)) % 132.46/132.66 (define @t56 () (@list @t54)) % 132.46/132.66 (define @t57 () (tptp.apply @t54 @t1)) % 132.46/132.66 (define @t58 () (= @t4 @t32)) % 132.46/132.66 (define @t59 () (= (tptp.ordered_pair @t40 @t4) (tptp.ordered_pair @t1 @t32))) % 132.46/132.66 (define @t60 () (and @t59 @t28)) % 132.46/132.66 (define @t61 () (@list @t40 @t4 @t1 @t32)) % 132.46/132.66 (define @t62 () (forall @t61 (=> @t60 @t58))) % 132.46/132.66 (define @t63 () (not @t62)) % 132.46/132.66 (define @t64 () (not @t28)) % 132.46/132.66 (define @t65 () (not @t59)) % 132.46/132.66 (define @t66 () (or @t65 @t64 @t58)) % 132.46/132.66 (define @t67 () (forall @t61 @t66)) % 132.46/132.66 (define @t68 () (@quantifiers_skolemize @t67 3)) % 132.46/132.66 (define @t69 () (@quantifiers_skolemize @t67 2)) % 132.46/132.66 (define @t70 () (tptp.ordered_pair @t69 @t68)) % 132.46/132.66 (define @t71 () (@quantifiers_skolemize @t67 1)) % 132.46/132.66 (define @t72 () (@quantifiers_skolemize @t67 0)) % 132.46/132.66 (define @t73 () (tptp.ordered_pair @t72 @t71)) % 132.46/132.66 (define @t74 () (= @t73 @t70)) % 132.46/132.66 (define @t75 () (= @t71 @t68)) % 132.46/132.66 (define @t76 () (tptp.member @t71 tptp.universal_class)) % 132.46/132.66 (define @t77 () (not @t76)) % 132.46/132.66 (define @t78 () (not @t74)) % 132.46/132.66 (define @t79 () (or @t78 @t77 @t75)) % 132.46/132.66 (define @t80 () (@list true)) % 132.46/132.66 (define @t81 () (@list @t79)) % 132.46/132.66 (define @t82 () (and (= @t4 @t25) (= @t1 @t24))) % 132.46/132.66 (define @t83 () (not @t27)) % 132.46/132.66 (define @t84 () (@list @t72 @t71)) % 132.46/132.66 (define @t85 () (tptp.unordered_pair @t71 @t71)) % 132.46/132.66 (define @t86 () (tptp.member @t71 @t85)) % 132.46/132.66 (define @t87 () (= @t71 @t71)) % 132.46/132.66 (define @t88 () (or @t87 @t87)) % 132.46/132.66 (define @t89 () (and @t76 @t88)) % 132.46/132.66 (define @t90 () (= @t86 @t89)) % 132.46/132.66 (define @t91 () (forall @t16 (= @t14 (and @t11 (or (= @t4 @t2) (= @t1 @t2)))))) % 132.46/132.66 (define @t92 () (= @t76 @t86)) % 132.46/132.66 (define @t93 () (@list false)) % 132.46/132.66 (define @t94 () (@list @t91)) % 132.46/132.66 (define @t95 () (@list false false)) % 132.46/132.66 (define @t96 () (= @t68 @t71)) % 132.46/132.66 (define @t97 () (or @t96 @t96)) % 132.46/132.66 (define @t98 () (and @t76 @t97)) % 132.46/132.66 (define @t99 () (tptp.unordered_pair @t68 @t68)) % 132.46/132.66 (define @t100 () (tptp.member @t71 @t99)) % 132.46/132.66 (define @t101 () (= @t100 @t98)) % 132.46/132.66 (define @t102 () (and @t76 @t75)) % 132.46/132.66 (define @t103 () (= @t100 @t102)) % 132.46/132.66 (define @t104 () (not @t102)) % 132.46/132.66 (define @t105 () (not @t100)) % 132.46/132.66 (define @t106 () (not @t86)) % 132.46/132.66 (define @t107 () (tptp.singleton @t71)) % 132.46/132.66 (define @t108 () (= @t107 @t99)) % 132.46/132.66 (define @t109 () (not @t108)) % 132.46/132.66 (define @t110 () (= @t107 @t85)) % 132.46/132.66 (define @t111 () (not @t110)) % 132.46/132.66 (define @t112 () (= false true)) % 132.46/132.66 (define @t113 () (and @t86 @t110 @t108 @t105)) % 132.46/132.66 (define @t114 () (= @t72 @t99)) % 132.46/132.66 (define @t115 () (tptp.member @t99 tptp.universal_class)) % 132.46/132.66 (define @t116 () (and @t115 @t114)) % 132.46/132.66 (define @t117 () (or @t114 @t108)) % 132.46/132.66 (define @t118 () (or @t114 @t114)) % 132.46/132.66 (define @t119 () (and @t115 @t118)) % 132.46/132.66 (define @t120 () (tptp.unordered_pair @t72 @t72)) % 132.46/132.66 (define @t121 () (tptp.member @t99 @t120)) % 132.46/132.66 (define @t122 () (= @t121 @t119)) % 132.46/132.66 (define @t123 () (= @t121 @t116)) % 132.46/132.66 (define @t124 () (not @t121)) % 132.46/132.66 (define @t125 () (and @t115 @t117)) % 132.46/132.66 (define @t126 () (tptp.singleton @t68)) % 132.46/132.66 (define @t127 () (= @t126 @t99)) % 132.46/132.66 (define @t128 () (or (= @t69 @t99) @t127)) % 132.46/132.66 (define @t129 () (and @t115 @t128)) % 132.46/132.66 (define @t130 () (not @t115)) % 132.46/132.66 (define @t131 () (tptp.unordered_pair @t69 @t126)) % 132.46/132.66 (define @t132 () (tptp.member @t99 @t131)) % 132.46/132.66 (define @t133 () (= @t132 @t129)) % 132.46/132.66 (define @t134 () (not @t132)) % 132.46/132.66 (define @t135 () (tptp.singleton @t72)) % 132.46/132.66 (define @t136 () (= @t135 @t131)) % 132.46/132.66 (define @t137 () (not @t136)) % 132.46/132.66 (define @t138 () (= @t135 @t120)) % 132.46/132.66 (define @t139 () (not @t138)) % 132.46/132.66 (define @t140 () (and @t132 @t136 @t138 @t124)) % 132.46/132.66 (define @t141 () (tptp.unordered_pair @t72 @t107)) % 132.46/132.66 (define @t142 () (tptp.member @t99 @t141)) % 132.46/132.66 (define @t143 () (= @t142 @t125)) % 132.46/132.66 (define @t144 () (not @t142)) % 132.46/132.66 (define @t145 () (tptp.singleton @t69)) % 132.46/132.66 (define @t146 () (tptp.member @t131 (tptp.unordered_pair @t145 @t131))) % 132.46/132.66 (define @t147 () (tptp.member @t131 tptp.universal_class)) % 132.46/132.66 (define @t148 () (= @t145 @t131)) % 132.46/132.66 (define @t149 () (or @t148 (= @t131 @t131))) % 132.46/132.66 (define @t150 () (and @t147 @t149)) % 132.46/132.66 (define @t151 () (= @t146 @t150)) % 132.46/132.66 (define @t152 () (= @t147 @t146)) % 132.46/132.66 (define @t153 () (@list @t69 @t68)) % 132.46/132.66 (define @t154 () (tptp.member @t131 (tptp.unordered_pair @t135 @t141))) % 132.46/132.66 (define @t155 () (= @t141 @t131)) % 132.46/132.66 (define @t156 () (or @t136 @t155)) % 132.46/132.66 (define @t157 () (and @t147 @t156)) % 132.46/132.66 (define @t158 () (= @t154 @t157)) % 132.46/132.66 (define @t159 () (not @t155)) % 132.46/132.66 (define @t160 () (= true false)) % 132.46/132.66 (define @t161 () (and @t144 @t155 @t132)) % 132.46/132.66 (define @t162 () (not @t114)) % 132.46/132.66 (define @t163 () (tptp.member @t72 tptp.universal_class)) % 132.46/132.66 (define @t164 () (not @t163)) % 132.46/132.66 (define @t165 () (and @t164 @t114 @t115)) % 132.46/132.66 (define @t166 () (tptp.second @t73)) % 132.46/132.66 (define @t167 () (= @t71 @t166)) % 132.46/132.66 (define @t168 () (and (= @t72 (tptp.first @t73)) @t167)) % 132.46/132.66 (define @t169 () (or @t164 @t77 @t168)) % 132.46/132.66 (define @t170 () (@list false false false)) % 132.46/132.66 (define @t171 () (and @t163 @t76)) % 132.46/132.66 (define @t172 () (tptp.member @t73 @t34)) % 132.46/132.66 (define @t173 () (= @t172 @t171)) % 132.46/132.66 (define @t174 () (tptp.member @t70 @t34)) % 132.46/132.66 (define @t175 () (and @t74 @t172)) % 132.46/132.66 (define @t176 () (tptp.member @t68 tptp.universal_class)) % 132.46/132.66 (define @t177 () (tptp.member @t69 tptp.universal_class)) % 132.46/132.66 (define @t178 () (and @t177 @t176)) % 132.46/132.66 (define @t179 () (= @t174 @t178)) % 132.46/132.66 (define @t180 () (not @t178)) % 132.46/132.66 (define @t181 () (@list @t178)) % 132.46/132.66 (define @t182 () (= @t68 (tptp.second @t70))) % 132.46/132.66 (define @t183 () (and (= @t69 (tptp.first @t70)) @t182)) % 132.46/132.66 (define @t184 () (not @t176)) % 132.46/132.66 (define @t185 () (not @t177)) % 132.46/132.66 (define @t186 () (or @t185 @t184 @t183)) % 132.46/132.66 (define @t187 () (and @t74 @t167 @t182)) % 132.46/132.66 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 132.46/132.66 (assume @p2 (forall @t9 (tptp.subclass @t4 tptp.universal_class))) % 132.46/132.66 (assume @p3 (forall @t8 (= (= @t4 @t1) (and @t7 (tptp.subclass @t1 @t4))))) % 132.46/132.66 (assume @p4 @t17) % 132.46/132.66 (assume @p5 (forall @t8 (tptp.member @t13 tptp.universal_class))) % 132.46/132.66 (assume @p6 (forall @t9 (= @t18 (tptp.unordered_pair @t4 @t4)))) % 132.46/132.66 (assume @p7 (forall @t8 (= @t20 (tptp.unordered_pair @t18 (tptp.unordered_pair @t4 @t19))))) % 132.46/132.66 (assume @p8 (forall (@list @t2 @t21 @t4 @t1) (= (tptp.member @t23 @t22) (and @t5 (tptp.member @t21 @t1))))) % 132.46/132.66 (assume @p9 @t31) % 132.46/132.66 (assume @p10 (forall @t33 (=> (tptp.member @t32 @t22) (= @t32 (tptp.ordered_pair (tptp.first @t32) (tptp.second @t32)))))) % 132.46/132.66 (assume @p11 (forall @t8 (= (tptp.member @t20 tptp.element_relation) (and @t27 (tptp.member @t4 @t1))))) % 132.46/132.66 (assume @p12 (tptp.subclass tptp.element_relation @t34)) % 132.46/132.66 (assume @p13 (forall @t33 (= (tptp.member @t32 (tptp.intersection @t4 @t1)) (and @t36 @t35)))) % 132.46/132.66 (assume @p14 (forall @t38 (= (tptp.member @t32 (tptp.complement @t4)) (and @t37 (not @t36))))) % 132.46/132.66 (assume @p15 (forall (@list @t4 @t39 @t1) (= (tptp.restrict @t39 @t4 @t1) (tptp.intersection @t39 @t22)))) % 132.46/132.66 (assume @p16 (forall @t9 (not (tptp.member @t4 tptp.null_class)))) % 132.46/132.66 (assume @p17 (forall @t38 (= (tptp.member @t32 (tptp.domain_of @t4)) (and @t37 (not (= (tptp.restrict @t4 (tptp.singleton @t32) tptp.universal_class) tptp.null_class)))))) % 132.46/132.66 (assume @p18 (forall (@list @t4 @t2 @t21 @t40) (= (tptp.member @t42 @t44) (and @t43 (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t21 @t40) @t2) @t4))))) % 132.46/132.66 (assume @p19 (forall @t9 (tptp.subclass @t44 @t41))) % 132.46/132.66 (assume @p20 (forall (@list @t2 @t21 @t40 @t4) (= (tptp.member @t42 @t45) (and @t43 (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t21 @t2) @t40) @t4))))) % 132.46/132.66 (assume @p21 (forall @t9 (tptp.subclass @t45 @t41))) % 132.46/132.66 (assume @p22 (forall @t33 (= (tptp.member @t32 (tptp.union @t4 @t1)) (or @t36 @t35)))) % 132.46/132.66 (assume @p23 (forall @t9 (= @t46 (tptp.union @t4 @t18)))) % 132.46/132.66 (assume @p24 (tptp.subclass tptp.successor_relation @t34)) % 132.46/132.66 (assume @p25 (forall @t8 (= (tptp.member @t20 tptp.successor_relation) (and @t28 @t27 (= @t46 @t1))))) % 132.46/132.66 (assume @p26 (forall @t47 (= (tptp.inverse @t1) (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class)))))) % 132.46/132.66 (assume @p27 (forall @t48 (= (tptp.range_of @t32) (tptp.domain_of (tptp.inverse @t32))))) % 132.46/132.66 (assume @p28 (forall (@list @t4 @t39) (= (tptp.image @t39 @t4) (tptp.range_of (tptp.restrict @t39 @t4 tptp.universal_class))))) % 132.46/132.66 (assume @p29 (forall @t9 (= @t49 (and (tptp.member tptp.null_class @t4) (tptp.subclass (tptp.image tptp.successor_relation @t4) @t4))))) % 132.46/132.66 (assume @p30 (exists @t9 (and @t28 @t49 (forall @t47 (=> (tptp.inductive @t1) @t7))))) % 132.46/132.66 (assume @p31 (forall @t51 (= (tptp.member @t2 @t50) (exists @t47 (and @t3 (tptp.member @t1 @t4)))))) % 132.46/132.66 (assume @p32 (forall @t9 (=> @t28 (tptp.member @t50 tptp.universal_class)))) % 132.46/132.66 (assume @p33 (forall @t51 (= (tptp.member @t2 (tptp.power_class @t4)) (and @t11 (tptp.subclass @t2 @t4))))) % 132.46/132.66 (assume @p34 (forall @t6 (=> @t11 (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 132.46/132.66 (assume @p35 (forall (@list @t39 @t52) (tptp.subclass @t53 @t34))) % 132.46/132.66 (assume @p36 (forall (@list @t39 @t52 @t2 @t21) (= (tptp.member @t23 @t53) (and @t11 (tptp.member @t21 (tptp.image @t52 (tptp.image @t39 (tptp.singleton @t2)))))))) % 132.46/132.66 (assume @p37 (forall @t48 (= (tptp.member @t32 tptp.identity_relation) (exists @t9 (and @t28 (= @t32 (tptp.ordered_pair @t4 @t4))))))) % 132.46/132.66 (assume @p38 (forall @t56 (= @t55 (and (tptp.subclass @t54 @t34) (tptp.subclass (tptp.compose @t54 (tptp.inverse @t54)) tptp.identity_relation))))) % 132.46/132.66 (assume @p39 (forall (@list @t4 @t54) (=> (and @t28 @t55) (tptp.member (tptp.image @t54 @t4) tptp.universal_class)))) % 132.46/132.66 (assume @p40 (forall @t8 (= (tptp.disjoint @t4 @t1) (forall @t6 (not (and @t5 @t3)))))) % 132.46/132.66 (assume @p41 (forall @t9 (=> (not (= @t4 tptp.null_class)) (exists @t6 (and @t11 @t5 (tptp.disjoint @t2 @t4)))))) % 132.46/132.66 (assume @p42 (forall (@list @t54 @t1) (= @t57 (tptp.sum_class (tptp.image @t54 @t19))))) % 132.46/132.66 (assume @p43 (exists @t56 (and @t55 (forall @t47 (=> @t27 (or (= @t1 tptp.null_class) (tptp.member @t57 @t1))))))) % 132.46/132.66 (assume @p44 @t63) % 132.46/132.66 (assume @p45 true) % 132.46/132.66 (step @p46 :rule aci_norm :args ((= (or (or @t65 @t64) @t58) @t66))) % 132.46/132.66 (step @p47 :rule refl :args (@t58)) % 132.46/132.66 (step @p48 :rule bool-and-de-morgan :args (@t59 @t28 true)) % 132.46/132.66 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t60) @t58))) % 132.46/132.66 (step @p50 :rule trans :premises (@p49 @p46)) % 132.46/132.66 (step @p51 :rule bool-impl-elim :args (@t60 @t58)) % 132.46/132.66 (step @p52 :rule trans :premises (@p51 @p50)) % 132.46/132.66 (step @p53 :rule cong :premises (@p52) :args (@t62)) % 132.46/132.66 (step @p54 :rule cong :premises (@p53) :args (@t63)) % 132.46/132.66 (step @p55 :rule eq_resolve :premises (@p44 @p54)) % 132.46/132.66 (step @p56 :rule skolemize :premises (@p55)) % 132.46/132.66 (step @p57 :rule bool-double-not-elim :args (@t74)) % 132.46/132.66 (step @p58 :rule refl :args (@t79)) % 132.46/132.66 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t79 (not @t78)))) % 132.46/132.66 (step @p60 :rule cnf_or_neg :args (@t79 0)) % 132.46/132.66 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 132.46/132.66 (step @p62 :rule reordering :premises (@p61) :args ((or @t74 @t79))) % 132.46/132.66 (step @p63 :rule chain_m_resolution :premises (@p62 @p56) :args (@t74 @t80 @t81)) % 132.46/132.66 (step @p64 :rule cnf_or_neg :args (@t79 2)) % 132.46/132.66 (step @p65 :rule chain_m_resolution :premises (@p64 @p56) :args ((not @t75) @t80 @t81)) % 132.46/132.66 (step @p66 :rule aci_norm :args ((= (or (or @t64 @t83) @t82) (or @t64 @t83 @t82)))) % 132.46/132.66 (step @p67 :rule refl :args (@t82)) % 132.46/132.66 (step @p68 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 132.46/132.66 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or (not @t29) @t82))) % 132.46/132.66 (step @p70 :rule trans :premises (@p69 @p66)) % 132.46/132.66 (step @p71 :rule bool-impl-elim :args (@t29 @t82)) % 132.46/132.66 (step @p72 :rule trans :premises (@p71 @p70)) % 132.46/132.66 (step @p73 :rule cong :premises (@p72) :args ((forall @t8 (=> @t29 @t82)))) % 132.46/132.66 (step @p74 :rule eq-symm :args (@t24 @t1)) % 132.46/132.66 (step @p75 :rule eq-symm :args (@t25 @t4)) % 132.46/132.66 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t26)) % 132.46/132.66 (step @p77 :rule refl :args (@t29)) % 132.46/132.66 (step @p78 :rule cong :premises (@p77 @p76) :args (@t30)) % 132.46/132.66 (step @p79 :rule cong :premises (@p78) :args (@t31)) % 132.46/132.66 (step @p80 :rule trans :premises (@p79 @p73)) % 132.46/132.66 (step @p81 :rule eq_resolve :premises (@p9 @p80)) % 132.46/132.66 (step @p82 :rule instantiate :premises (@p81) :args (@t84)) % 132.46/132.66 (step @p83 :rule eq-symm :args (@t2 @t1)) % 132.46/132.66 (step @p84 :rule eq-symm :args (@t2 @t4)) % 132.46/132.66 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t10)) % 132.46/132.66 (step @p86 :rule refl :args (@t11)) % 132.46/132.66 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t12)) % 132.46/132.66 (step @p88 :rule refl :args (@t14)) % 132.46/132.66 (step @p89 :rule cong :premises (@p88 @p87) :args (@t15)) % 132.46/132.66 (step @p90 :rule cong :premises (@p89) :args (@t17)) % 132.46/132.66 (step @p91 :rule eq_resolve :premises (@p4 @p90)) % 132.46/132.66 (step @p92 :rule eq-symm :args (@t86 @t76)) % 132.46/132.66 (step @p93 :rule aci_norm :args ((= (and @t76 true) @t76))) % 132.46/132.66 (step @p94 :rule eq-refl :args (@t71)) % 132.46/132.66 (step @p95 :rule aci_norm :args ((= @t88 @t87))) % 132.46/132.66 (step @p96 :rule trans :premises (@p95 @p94)) % 132.46/132.66 (step @p97 :rule refl :args (@t76)) % 132.46/132.66 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t89)) % 132.46/132.66 (step @p99 :rule trans :premises (@p98 @p93)) % 132.46/132.66 (step @p100 :rule refl :args (@t86)) % 132.46/132.66 (step @p101 :rule cong :premises (@p100 @p99) :args (@t90)) % 132.46/132.66 (step @p102 :rule trans :premises (@p101 @p92)) % 132.46/132.66 (step @p103 :rule refl :args (@t91)) % 132.46/132.66 (step @p104 :rule cong :premises (@p103 @p102) :args ((=> @t91 @t90))) % 132.46/132.66 (assume-push @p437 @t91) % 132.46/132.66 (step @p106 :rule instantiate :premises (@p91) :args ((@list @t71 @t71 @t71))) % 132.46/132.66 (step-pop @p438 :rule scope :premises (@p106)) % 132.46/132.66 (step @p107 :rule process_scope :premises (@p438) :args (@t90)) % 132.46/132.66 (step @p109 :rule eq_resolve :premises (@p107 @p104)) % 132.46/132.66 (step @p110 :rule implies_elim :premises (@p109)) % 132.46/132.66 (step @p111 :rule chain_m_resolution :premises (@p110 @p91) :args (@t92 @t93 @t94)) % 132.46/132.66 (step @p112 :rule bool-double-not-elim :args (@t76)) % 132.46/132.66 (step @p113 :rule nary_cong :premises (@p58 @p112) :args ((or @t79 (not @t77)))) % 132.46/132.66 (step @p114 :rule cnf_or_neg :args (@t79 1)) % 132.46/132.66 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 132.46/132.66 (step @p116 :rule reordering :premises (@p115) :args ((or @t76 @t79))) % 132.46/132.66 (step @p117 :rule chain_m_resolution :premises (@p116 @p56) :args (@t76 @t80 @t81)) % 132.46/132.66 (step @p118 :rule cnf_equiv_pos1 :args (@t92)) % 132.46/132.66 (step @p119 :rule reordering :premises (@p118) :args ((or @t77 @t86 (not @t92)))) % 132.46/132.66 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p111) :args (@t86 @t95 (@list @t76 @t92))) % 132.46/132.66 (step @p121 :rule eq-symm :args (@t68 @t71)) % 132.46/132.66 (step @p122 :rule aci_norm :args ((= @t97 @t96))) % 132.46/132.66 (step @p123 :rule trans :premises (@p122 @p121)) % 132.46/132.66 (step @p124 :rule nary_cong :premises (@p97 @p123) :args (@t98)) % 132.46/132.66 (step @p125 :rule refl :args (@t100)) % 132.46/132.66 (step @p126 :rule cong :premises (@p125 @p124) :args (@t101)) % 132.46/132.66 (step @p127 :rule cong :premises (@p103 @p126) :args ((=> @t91 @t101))) % 132.46/132.66 (assume-push @p439 @t91) % 132.46/132.66 (step @p129 :rule instantiate :premises (@p91) :args ((@list @t71 @t68 @t68))) % 132.46/132.66 (step-pop @p440 :rule scope :premises (@p129)) % 132.46/132.66 (step @p130 :rule process_scope :premises (@p440) :args (@t101)) % 132.46/132.66 (step @p132 :rule eq_resolve :premises (@p130 @p127)) % 132.46/132.66 (step @p133 :rule implies_elim :premises (@p132)) % 132.46/132.66 (step @p134 :rule chain_m_resolution :premises (@p133 @p91) :args (@t103 @t93 @t94)) % 132.46/132.66 (step @p135 :rule cnf_and_pos :args (@t102 1)) % 132.46/132.66 (step @p136 :rule reordering :premises (@p135) :args ((or @t75 @t104))) % 132.46/132.66 (step @p137 :rule chain_m_resolution :premises (@p136 @p65) :args (@t104 @t80 (@list @t75))) % 132.46/132.66 (step @p138 :rule cnf_equiv_pos1 :args (@t103)) % 132.46/132.66 (step @p139 :rule reordering :premises (@p138) :args ((or @t102 @t105 (not @t103)))) % 132.46/132.66 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p134) :args (@t105 (@list true false) (@list @t102 @t103))) % 132.46/132.66 (step @p141 :rule instantiate :premises (@p6) :args ((@list @t71))) % 132.46/132.66 (step @p142 :rule refl :args (@t106)) % 132.46/132.66 (step @p143 :rule bool-double-not-elim :args (@t100)) % 132.46/132.66 (step @p144 :rule refl :args (@t109)) % 132.46/132.66 (step @p145 :rule refl :args (@t111)) % 132.46/132.66 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143 @p142) :args ((or @t111 @t109 (not @t105) @t106))) % 132.46/132.66 (assume-push @p441 @t86) % 132.46/132.66 (assume-push @p442 @t110) % 132.46/132.66 (assume-push @p443 @t108) % 132.46/132.66 (assume-push @p444 @t105) % 132.46/132.66 (step @p151 :rule evaluate :args (@t112)) % 132.46/132.66 (step @p152 :rule true_intro :premises (@p120)) % 132.46/132.66 (step @p153 :rule refl :args (@t71)) % 132.46/132.66 (step @p154 :rule cong :premises (@p153 @p141) :args ((tptp.member @t71 @t107))) % 132.46/132.66 (step @p155 :rule symm :premises (@p443)) % 132.46/132.66 (step @p156 :rule cong :premises (@p153 @p155) :args (@t100)) % 132.46/132.66 (step @p157 :rule false_intro :premises (@p140)) % 132.46/132.66 (step @p158 :rule symm :premises (@p157)) % 132.46/132.66 (step @p159 :rule trans :premises (@p158 @p156 @p154 @p152)) % 132.46/132.66 (step @p160 false :rule eq_resolve :premises (@p159 @p151)) % 132.46/132.66 (step-pop @p445 :rule scope :premises (@p160)) % 132.46/132.66 (step-pop @p446 :rule scope :premises (@p445)) % 132.46/132.66 (step-pop @p447 :rule scope :premises (@p446)) % 132.46/132.66 (step-pop @p448 :rule scope :premises (@p447)) % 132.46/132.66 (step @p161 :rule process_scope :premises (@p448) :args (false)) % 132.46/132.66 (assume-push @p449 @t110) % 132.46/132.66 (assume-push @p450 @t108) % 132.46/132.66 (assume-push @p451 @t105) % 132.46/132.66 (assume-push @p452 @t86) % 132.46/132.66 (step @p170 :rule and_intro :premises (@p120 @p141 @p450 @p140)) % 132.46/132.66 (step-pop @p453 :rule scope :premises (@p170)) % 132.46/132.66 (step-pop @p454 :rule scope :premises (@p453)) % 132.46/132.66 (step-pop @p455 :rule scope :premises (@p454)) % 132.46/132.66 (step-pop @p456 :rule scope :premises (@p455)) % 132.46/132.66 (step @p171 :rule process_scope :premises (@p456) :args (@t113)) % 132.46/132.66 (step @p176 :rule implies_elim :premises (@p171)) % 132.46/132.66 (step @p177 :rule resolution :premises (@p176 @p161) :args (true @t113)) % 132.46/132.66 (step @p178 :rule not_and :premises (@p177)) % 132.46/132.66 (step @p179 :rule eq_resolve :premises (@p178 @p146)) % 132.46/132.66 (step @p180 :rule chain_m_resolution :premises (@p179 @p141 @p140 @p120) :args (@t109 (@list false true false) (@list @t110 @t100 @t86))) % 132.46/132.66 (step @p181 :rule cnf_and_pos :args (@t116 1)) % 132.46/132.66 (step @p182 :rule reordering :premises (@p181) :args ((or @t114 (not @t116)))) % 132.46/132.66 (step @p183 :rule cnf_or_pos :args (@t117)) % 132.46/132.66 (step @p184 :rule reordering :premises (@p183) :args ((or @t114 @t108 (not @t117)))) % 132.46/132.66 (step @p185 :rule aci_norm :args ((= @t118 @t114))) % 132.46/132.66 (step @p186 :rule refl :args (@t115)) % 132.46/132.66 (step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t119)) % 132.46/132.66 (step @p188 :rule refl :args (@t121)) % 132.46/132.66 (step @p189 :rule cong :premises (@p188 @p187) :args (@t122)) % 132.46/132.66 (step @p190 :rule cong :premises (@p103 @p189) :args ((=> @t91 @t122))) % 132.46/132.66 (assume-push @p457 @t91) % 132.46/132.66 (step @p192 :rule instantiate :premises (@p91) :args ((@list @t99 @t72 @t72))) % 132.46/132.66 (step-pop @p458 :rule scope :premises (@p192)) % 132.46/132.66 (step @p193 :rule process_scope :premises (@p458) :args (@t122)) % 132.46/132.66 (step @p195 :rule eq_resolve :premises (@p193 @p190)) % 132.46/132.66 (step @p196 :rule implies_elim :premises (@p195)) % 132.46/132.66 (step @p197 :rule chain_m_resolution :premises (@p196 @p91) :args (@t123 @t93 @t94)) % 132.46/132.66 (step @p198 :rule cnf_equiv_pos1 :args (@t123)) % 132.46/132.66 (step @p199 :rule reordering :premises (@p198) :args ((or @t116 @t124 (not @t123)))) % 132.46/132.66 (step @p200 :rule cnf_and_pos :args (@t125 1)) % 132.46/132.66 (step @p201 :rule reordering :premises (@p200) :args ((or @t117 (not @t125)))) % 132.46/132.66 (step @p202 :rule instantiate :premises (@p6) :args ((@list @t72))) % 132.46/132.66 (step @p203 :rule instantiate :premises (@p91) :args ((@list @t99 @t69 @t126))) % 132.46/132.66 (step @p204 :rule instantiate :premises (@p6) :args ((@list @t68))) % 132.46/132.66 (step @p205 :rule cnf_or_neg :args (@t128 1)) % 132.46/132.66 (step @p206 :rule reordering :premises (@p205) :args ((or (not @t127) @t128))) % 132.46/132.66 (step @p207 :rule chain_m_resolution :premises (@p206 @p204) :args (@t128 @t93 (@list @t127))) % 132.46/132.66 (step @p208 :rule instantiate :premises (@p5) :args ((@list @t68 @t68))) % 132.46/132.66 (step @p209 :rule cnf_and_neg :args (@t129)) % 132.46/132.66 (step @p210 :rule reordering :premises (@p209) :args ((or @t130 @t129 (not @t128)))) % 132.46/132.66 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p207) :args (@t129 @t95 (@list @t115 @t128))) % 132.46/132.66 (step @p212 :rule cnf_equiv_pos2 :args (@t133)) % 132.46/132.66 (step @p213 :rule reordering :premises (@p212) :args ((or @t132 (not @t129) (not @t133)))) % 132.46/132.66 (step @p214 :rule chain_m_resolution :premises (@p213 @p211 @p203) :args (@t132 @t95 (@list @t129 @t133))) % 132.46/132.66 (step @p215 :rule refl :args (@t134)) % 132.46/132.66 (step @p216 :rule refl :args (@t137)) % 132.46/132.66 (step @p217 :rule bool-double-not-elim :args (@t121)) % 132.46/132.66 (step @p218 :rule refl :args (@t139)) % 132.46/132.66 (step @p219 :rule nary_cong :premises (@p218 @p217 @p216 @p215) :args ((or @t139 (not @t124) @t137 @t134))) % 132.46/132.66 (assume-push @p459 @t132) % 132.46/132.66 (assume-push @p460 @t136) % 132.46/132.66 (assume-push @p461 @t138) % 132.46/132.66 (assume-push @p462 @t124) % 132.46/132.66 (step @p151 :rule evaluate :args (@t112)) % 132.46/132.66 (step @p224 :rule true_intro :premises (@p214)) % 132.46/132.66 (step @p225 :rule symm :premises (@p202)) % 132.46/132.66 (step @p226 :rule trans :premises (@p225 @p460)) % 132.46/132.66 (step @p227 :rule refl :args (@t99)) % 132.46/132.66 (step @p228 :rule cong :premises (@p227 @p226) :args (@t121)) % 132.46/132.66 (step @p229 :rule false_intro :premises (@p462)) % 132.46/132.66 (step @p230 :rule symm :premises (@p229)) % 132.46/132.66 (step @p231 :rule trans :premises (@p230 @p228 @p224)) % 132.46/132.66 (step @p232 false :rule eq_resolve :premises (@p231 @p151)) % 132.46/132.66 (step-pop @p463 :rule scope :premises (@p232)) % 132.46/132.66 (step-pop @p464 :rule scope :premises (@p463)) % 132.46/132.66 (step-pop @p465 :rule scope :premises (@p464)) % 132.46/132.66 (step-pop @p466 :rule scope :premises (@p465)) % 132.46/132.66 (step @p233 :rule process_scope :premises (@p466) :args (false)) % 132.46/132.66 (assume-push @p467 @t138) % 132.46/132.66 (assume-push @p468 @t124) % 132.46/132.66 (assume-push @p469 @t136) % 132.46/132.66 (assume-push @p470 @t132) % 132.46/132.66 (step @p242 :rule and_intro :premises (@p214 @p469 @p202 @p468)) % 132.46/132.66 (step-pop @p471 :rule scope :premises (@p242)) % 132.46/132.66 (step-pop @p472 :rule scope :premises (@p471)) % 132.46/132.66 (step-pop @p473 :rule scope :premises (@p472)) % 132.46/132.66 (step-pop @p474 :rule scope :premises (@p473)) % 132.46/132.66 (step @p243 :rule process_scope :premises (@p474) :args (@t140)) % 132.46/132.66 (step @p248 :rule implies_elim :premises (@p243)) % 132.46/132.66 (step @p249 :rule resolution :premises (@p248 @p233) :args (true @t140)) % 132.46/132.66 (step @p250 :rule not_and :premises (@p249)) % 132.46/132.66 (step @p251 :rule eq_resolve :premises (@p250 @p219)) % 132.46/132.66 (step @p252 :rule instantiate :premises (@p91) :args ((@list @t99 @t72 @t107))) % 132.46/132.66 (step @p253 :rule cnf_equiv_pos1 :args (@t143)) % 132.46/132.66 (step @p254 :rule reordering :premises (@p253) :args ((or @t125 @t144 (not @t143)))) % 132.46/132.66 (step @p255 :rule instantiate :premises (@p91) :args ((@list @t131 @t135 @t141))) % 132.46/132.66 (step @p256 :rule eq-symm :args (@t146 @t147)) % 132.46/132.66 (step @p257 :rule aci_norm :args ((= (and @t147 true) @t147))) % 132.46/132.66 (step @p258 :rule absorb :args ((= (or @t148 true) true))) % 132.46/132.66 (step @p259 :rule eq-refl :args (@t131)) % 132.46/132.66 (step @p260 :rule refl :args (@t148)) % 132.46/132.66 (step @p261 :rule nary_cong :premises (@p260 @p259) :args (@t149)) % 132.46/132.66 (step @p262 :rule trans :premises (@p261 @p258)) % 132.46/132.66 (step @p263 :rule refl :args (@t147)) % 132.46/132.66 (step @p264 :rule nary_cong :premises (@p263 @p262) :args (@t150)) % 132.46/132.66 (step @p265 :rule trans :premises (@p264 @p257)) % 132.46/132.66 (step @p266 :rule refl :args (@t146)) % 132.46/132.66 (step @p267 :rule cong :premises (@p266 @p265) :args (@t151)) % 132.46/132.66 (step @p268 :rule trans :premises (@p267 @p256)) % 132.46/132.66 (step @p269 :rule cong :premises (@p103 @p268) :args ((=> @t91 @t151))) % 132.46/132.66 (assume-push @p475 @t91) % 132.46/132.66 (step @p271 :rule instantiate :premises (@p91) :args ((@list @t131 @t145 @t131))) % 132.46/132.66 (step-pop @p476 :rule scope :premises (@p271)) % 132.46/132.66 (step @p272 :rule process_scope :premises (@p476) :args (@t151)) % 132.46/132.66 (step @p274 :rule eq_resolve :premises (@p272 @p269)) % 132.46/132.66 (step @p275 :rule implies_elim :premises (@p274)) % 132.46/132.66 (step @p276 :rule chain_m_resolution :premises (@p275 @p91) :args (@t152 @t93 @t94)) % 132.46/132.66 (step @p277 :rule instantiate :premises (@p5) :args ((@list @t69 @t126))) % 132.46/132.66 (step @p278 :rule cnf_equiv_pos1 :args (@t152)) % 132.46/132.66 (step @p279 :rule reordering :premises (@p278) :args ((or (not @t147) @t146 (not @t152)))) % 132.46/132.66 (step @p280 :rule chain_m_resolution :premises (@p279 @p277 @p276) :args (@t146 @t95 (@list @t147 @t152))) % 132.46/132.66 (step @p281 :rule true_intro :premises (@p280)) % 132.46/132.66 (step @p282 :rule instantiate :premises (@p7) :args (@t153)) % 132.46/132.66 (step @p283 :rule instantiate :premises (@p7) :args (@t84)) % 132.46/132.66 (step @p284 :rule symm :premises (@p283)) % 132.46/132.66 (step @p285 :rule trans :premises (@p284 @p63 @p282)) % 132.46/132.66 (step @p286 :rule refl :args (@t131)) % 132.46/132.66 (step @p287 :rule cong :premises (@p286 @p285) :args (@t154)) % 132.46/132.66 (step @p288 :rule trans :premises (@p287 @p281)) % 132.46/132.66 (step @p289 :rule true_elim :premises (@p288)) % 132.46/132.66 (step @p290 :rule cnf_equiv_pos1 :args (@t158)) % 132.46/132.66 (step @p291 :rule reordering :premises (@p290) :args ((or @t157 (not @t154) (not @t158)))) % 132.46/132.66 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p255) :args (@t157 @t95 (@list @t154 @t158))) % 132.46/132.66 (step @p293 :rule cnf_and_pos :args (@t157 1)) % 132.46/132.66 (step @p294 :rule reordering :premises (@p293) :args ((or @t156 (not @t157)))) % 132.46/132.66 (step @p295 :rule chain_m_resolution :premises (@p294 @p292) :args (@t156 @t93 (@list @t157))) % 132.46/132.66 (step @p296 :rule cnf_or_pos :args (@t156)) % 132.46/132.66 (step @p297 :rule reordering :premises (@p296) :args ((or @t136 @t155 (not @t156)))) % 132.46/132.66 (step @p298 :rule bool-double-not-elim :args (@t142)) % 132.46/132.66 (step @p299 :rule refl :args (@t159)) % 132.46/132.66 (step @p300 :rule nary_cong :premises (@p299 @p215 @p298) :args ((or @t159 @t134 (not @t144)))) % 132.46/132.66 (assume-push @p477 @t144) % 132.46/132.66 (assume-push @p478 @t155) % 132.46/132.66 (assume-push @p479 @t132) % 132.46/132.66 (step @p304 :rule evaluate :args (@t160)) % 132.46/132.66 (step @p305 :rule false_intro :premises (@p477)) % 132.46/132.66 (step @p306 :rule symm :premises (@p478)) % 132.46/132.66 (step @p227 :rule refl :args (@t99)) % 132.46/132.66 (step @p307 :rule cong :premises (@p227 @p306) :args (@t132)) % 132.46/132.66 (step @p224 :rule true_intro :premises (@p214)) % 132.46/132.66 (step @p308 :rule symm :premises (@p224)) % 132.46/132.66 (step @p309 :rule trans :premises (@p308 @p307 @p305)) % 132.46/132.66 (step @p310 false :rule eq_resolve :premises (@p309 @p304)) % 132.46/132.66 (step-pop @p480 :rule scope :premises (@p310)) % 132.46/132.66 (step-pop @p481 :rule scope :premises (@p480)) % 132.46/132.66 (step-pop @p482 :rule scope :premises (@p481)) % 132.46/132.66 (step @p311 :rule process_scope :premises (@p482) :args (false)) % 132.46/132.66 (assume-push @p483 @t155) % 132.46/132.66 (assume-push @p484 @t132) % 132.46/132.66 (assume-push @p485 @t144) % 132.46/132.66 (step @p318 :rule and_intro :premises (@p485 @p483 @p214)) % 132.46/132.66 (step-pop @p486 :rule scope :premises (@p318)) % 132.46/132.66 (step-pop @p487 :rule scope :premises (@p486)) % 132.46/132.66 (step-pop @p488 :rule scope :premises (@p487)) % 132.46/132.66 (step @p319 :rule process_scope :premises (@p488) :args (@t161)) % 132.46/132.66 (step @p323 :rule implies_elim :premises (@p319)) % 132.46/132.66 (step @p324 :rule resolution :premises (@p323 @p311) :args (true @t161)) % 132.46/132.66 (step @p325 :rule not_and :premises (@p324)) % 132.46/132.66 (step @p326 :rule eq_resolve :premises (@p325 @p300)) % 132.46/132.66 (step @p327 :rule chain_m_resolution :premises (@p326 @p214 @p297 @p295 @p254 @p252 @p251 @p214 @p202 @p201 @p199 @p197 @p184 @p182) :args (@t117 (@list false false false true false true false false true true false true true) (@list @t132 @t155 @t156 @t142 @t143 @t136 @t132 @t138 @t125 @t121 @t123 @t117 @t116))) % 132.46/132.66 (step @p328 :rule chain_m_resolution :premises (@p327 @p180) :args (@t114 @t80 (@list @t108))) % 132.46/132.66 (step @p329 :rule refl :args (@t162)) % 132.46/132.66 (step @p330 :rule refl :args (@t130)) % 132.46/132.66 (step @p331 :rule bool-double-not-elim :args (@t163)) % 132.46/132.66 (step @p332 :rule nary_cong :premises (@p331 @p330 @p329) :args ((or (not @t164) @t130 @t162))) % 132.46/132.66 (assume-push @p489 @t164) % 132.46/132.66 (assume-push @p490 @t114) % 132.46/132.66 (assume-push @p491 @t115) % 132.46/132.66 (step @p304 :rule evaluate :args (@t160)) % 132.46/132.66 (step @p336 :rule false_intro :premises (@p489)) % 132.46/132.66 (step @p337 :rule refl :args (tptp.universal_class)) % 132.46/132.66 (step @p338 :rule symm :premises (@p490)) % 132.46/132.66 (step @p339 :rule cong :premises (@p338 @p337) :args (@t115)) % 132.46/132.66 (step @p340 :rule true_intro :premises (@p208)) % 132.46/132.66 (step @p341 :rule symm :premises (@p340)) % 132.46/132.66 (step @p342 :rule trans :premises (@p341 @p339 @p336)) % 132.46/132.66 (step @p343 false :rule eq_resolve :premises (@p342 @p304)) % 132.46/132.66 (step-pop @p492 :rule scope :premises (@p343)) % 132.46/132.66 (step-pop @p493 :rule scope :premises (@p492)) % 132.46/132.66 (step-pop @p494 :rule scope :premises (@p493)) % 132.46/132.66 (step @p344 :rule process_scope :premises (@p494) :args (false)) % 132.46/132.66 (assume-push @p495 @t164) % 132.46/132.66 (assume-push @p496 @t115) % 132.46/132.66 (assume-push @p497 @t114) % 132.46/132.66 (step @p351 :rule and_intro :premises (@p495 @p497 @p208)) % 132.46/132.66 (step-pop @p498 :rule scope :premises (@p351)) % 132.46/132.66 (step-pop @p499 :rule scope :premises (@p498)) % 132.46/132.66 (step-pop @p500 :rule scope :premises (@p499)) % 132.46/132.66 (step @p352 :rule process_scope :premises (@p500) :args (@t165)) % 132.46/132.66 (step @p356 :rule implies_elim :premises (@p352)) % 132.46/132.66 (step @p357 :rule resolution :premises (@p356 @p344) :args (true @t165)) % 132.46/132.66 (step @p358 :rule not_and :premises (@p357)) % 132.46/132.66 (step @p359 :rule eq_resolve :premises (@p358 @p332)) % 132.46/132.66 (step @p360 :rule chain_m_resolution :premises (@p359 @p208 @p328) :args (@t163 @t95 (@list @t115 @t114))) % 132.46/132.66 (step @p361 :rule cnf_or_pos :args (@t169)) % 132.46/132.66 (step @p362 :rule reordering :premises (@p361) :args ((or @t77 @t164 @t168 (not @t169)))) % 132.46/132.66 (step @p363 :rule chain_m_resolution :premises (@p362 @p117 @p360 @p82) :args (@t168 @t170 (@list @t76 @t163 @t169))) % 132.46/132.66 (step @p364 :rule cnf_and_pos :args (@t168 1)) % 132.46/132.66 (step @p365 :rule reordering :premises (@p364) :args ((or @t167 (not @t168)))) % 132.46/132.66 (step @p366 :rule chain_m_resolution :premises (@p365 @p363) :args (@t167 @t93 (@list @t168))) % 132.46/132.66 (step @p367 :rule instantiate :premises (@p81) :args (@t153)) % 132.46/132.66 (step @p368 :rule instantiate :premises (@p8) :args ((@list @t69 @t68 tptp.universal_class tptp.universal_class))) % 132.46/132.66 (step @p369 :rule instantiate :premises (@p8) :args ((@list @t72 @t71 tptp.universal_class tptp.universal_class))) % 132.46/132.66 (step @p370 :rule cnf_and_neg :args (@t171)) % 132.46/132.66 (step @p371 :rule reordering :premises (@p370) :args ((or @t77 @t164 @t171))) % 132.46/132.66 (step @p372 :rule chain_m_resolution :premises (@p371 @p117 @p360) :args (@t171 @t95 (@list @t76 @t163))) % 132.46/132.66 (step @p373 :rule cnf_equiv_pos2 :args (@t173)) % 132.46/132.66 (step @p374 :rule reordering :premises (@p373) :args ((or @t172 (not @t171) (not @t173)))) % 132.46/132.66 (step @p375 :rule chain_m_resolution :premises (@p374 @p372 @p369) :args (@t172 @t95 (@list @t171 @t173))) % 132.46/132.66 (assume-push @p501 @t74) % 132.46/132.66 (assume-push @p502 @t172) % 132.46/132.66 (assume-push @p503 @t172) % 132.46/132.66 (assume-push @p504 @t74) % 132.46/132.66 (step @p380 :rule true_intro :premises (@p502)) % 132.46/132.66 (step @p381 :rule refl :args (@t34)) % 132.46/132.66 (step @p382 :rule symm :premises (@p63)) % 132.46/132.66 (step @p383 :rule cong :premises (@p382 @p381) :args (@t174)) % 132.46/132.66 (step @p384 :rule trans :premises (@p383 @p380)) % 132.46/132.66 (step @p385 :rule true_elim :premises (@p384)) % 132.46/132.66 (step-pop @p505 :rule scope :premises (@p385)) % 132.46/132.66 (step-pop @p506 :rule scope :premises (@p505)) % 132.46/132.66 (step @p386 :rule process_scope :premises (@p506) :args (@t174)) % 132.46/132.66 (step @p389 :rule and_intro :premises (@p502 @p63)) % 132.46/132.66 (step @p390 :rule modus_ponens :premises (@p389 @p386)) % 132.46/132.66 (step-pop @p507 :rule scope :premises (@p390)) % 132.46/132.66 (step-pop @p508 :rule scope :premises (@p507)) % 132.46/132.66 (step @p391 :rule process_scope :premises (@p508) :args (@t174)) % 132.46/132.67 (step @p394 :rule implies_elim :premises (@p391)) % 132.46/132.67 (step @p395 :rule cnf_and_neg :args (@t175)) % 132.46/132.67 (step @p396 :rule resolution :premises (@p395 @p394) :args (true @t175)) % 132.46/132.67 (step @p397 :rule chain_m_resolution :premises (@p396 @p63 @p375) :args (@t174 @t95 (@list @t74 @t172))) % 132.46/132.67 (step @p398 :rule cnf_equiv_pos1 :args (@t179)) % 132.46/132.67 (step @p399 :rule reordering :premises (@p398) :args ((or @t178 (not @t174) (not @t179)))) % 132.46/132.67 (step @p400 :rule chain_m_resolution :premises (@p399 @p397 @p368) :args (@t178 @t95 (@list @t174 @t179))) % 132.46/132.67 (step @p401 :rule cnf_and_pos :args (@t178 1)) % 132.46/132.67 (step @p402 :rule reordering :premises (@p401) :args ((or @t176 @t180))) % 132.46/132.67 (step @p403 :rule chain_m_resolution :premises (@p402 @p400) :args (@t176 @t93 @t181)) % 132.46/132.67 (step @p404 :rule cnf_and_pos :args (@t178 0)) % 132.46/132.67 (step @p405 :rule reordering :premises (@p404) :args ((or @t177 @t180))) % 132.46/132.67 (step @p406 :rule chain_m_resolution :premises (@p405 @p400) :args (@t177 @t93 @t181)) % 132.46/132.67 (step @p407 :rule cnf_or_pos :args (@t186)) % 132.46/132.67 (step @p408 :rule reordering :premises (@p407) :args ((or @t185 @t184 @t183 (not @t186)))) % 132.46/132.67 (step @p409 :rule chain_m_resolution :premises (@p408 @p406 @p403 @p367) :args (@t183 @t170 (@list @t177 @t176 @t186))) % 132.46/132.67 (step @p410 :rule cnf_and_pos :args (@t183 1)) % 132.46/132.67 (step @p411 :rule reordering :premises (@p410) :args ((or @t182 (not @t183)))) % 132.46/132.67 (step @p412 :rule chain_m_resolution :premises (@p411 @p409) :args (@t182 @t93 (@list @t183))) % 132.46/132.67 (assume-push @p509 @t74) % 132.46/132.67 (assume-push @p510 @t167) % 132.46/132.67 (assume-push @p511 @t182) % 132.46/132.67 (assume-push @p512 @t182) % 132.46/132.67 (assume-push @p513 @t74) % 132.46/132.67 (assume-push @p514 @t167) % 132.46/132.67 (step @p419 :rule symm :premises (@p511)) % 132.46/132.67 (step @p420 :rule cong :premises (@p63) :args (@t166)) % 132.46/132.67 (step @p421 :rule trans :premises (@p510 @p420 @p419)) % 132.46/132.67 (step-pop @p515 :rule scope :premises (@p421)) % 132.46/132.67 (step-pop @p516 :rule scope :premises (@p515)) % 132.46/132.67 (step-pop @p517 :rule scope :premises (@p516)) % 132.46/132.67 (step @p422 :rule process_scope :premises (@p517) :args (@t75)) % 132.46/132.67 (step @p426 :rule and_intro :premises (@p511 @p63 @p510)) % 132.46/132.67 (step @p427 :rule modus_ponens :premises (@p426 @p422)) % 132.46/132.67 (step-pop @p518 :rule scope :premises (@p427)) % 132.46/132.67 (step-pop @p519 :rule scope :premises (@p518)) % 132.46/132.67 (step-pop @p520 :rule scope :premises (@p519)) % 132.46/132.67 (step @p428 :rule process_scope :premises (@p520) :args (@t75)) % 132.46/132.67 (step @p432 :rule implies_elim :premises (@p428)) % 132.46/132.67 (step @p433 :rule cnf_and_neg :args (@t187)) % 132.46/132.67 (step @p434 :rule resolution :premises (@p433 @p432) :args (true @t187)) % 132.46/132.67 (step @p435 :rule reordering :premises (@p434) :args ((or @t78 @t75 (not @t167) (not @t182)))) % 132.46/132.67 (step @p436 false :rule chain_m_resolution :premises (@p435 @p412 @p366 @p65 @p63) :args (false (@list false false true false) (@list @t182 @t167 @t75 @t74))) % 132.46/132.67 ) % 132.46/132.67 % SZS output end Proof % 132.46/132.67 % cvc5 exiting %------------------------------------------------------------------------------