%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET016+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 : n013.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 08:46:57 AM UTC 2026 % Result : Theorem 123.43s 123.62s % Output : Proof 123.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SET016+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n013.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 14:40:30 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.52 %----Proving TF0_NAR, FOF, or CNF % 123.43/123.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 123.43/123.62 --- Run --no-e-matching --full-saturate-quant at 6... % 123.43/123.62 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 123.43/123.62 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 123.43/123.62 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 123.43/123.62 --- Run --trigger-sel=max --full-saturate-quant at 15... % 123.43/123.62 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 123.43/123.62 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 123.43/123.62 % SZS status Theorem % 123.43/123.62 % SZS output start Proof % 123.43/123.62 ( % 123.43/123.62 (declare-sort $$unsorted 0) % 123.43/123.62 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 123.43/123.62 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.element_relation $$unsorted) % 123.43/123.62 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.universal_class $$unsorted) % 123.43/123.62 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.inductive (-> $$unsorted Bool)) % 123.43/123.62 (declare-const tptp.function (-> $$unsorted Bool)) % 123.43/123.62 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 123.43/123.62 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 123.43/123.62 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.null_class $$unsorted) % 123.43/123.62 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.successor_relation $$unsorted) % 123.43/123.62 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 123.43/123.62 (declare-const tptp.identity_relation $$unsorted) % 123.43/123.62 (define @t1 () (@var "Y" $$unsorted)) % 123.43/123.62 (define @t2 () (@var "U" $$unsorted)) % 123.43/123.62 (define @t3 () (tptp.member @t2 @t1)) % 123.43/123.62 (define @t4 () (@var "X" $$unsorted)) % 123.43/123.62 (define @t5 () (tptp.member @t2 @t4)) % 123.43/123.62 (define @t6 () (@list @t2)) % 123.43/123.62 (define @t7 () (tptp.subclass @t4 @t1)) % 123.43/123.62 (define @t8 () (@list @t4 @t1)) % 123.43/123.62 (define @t9 () (@list @t4)) % 123.43/123.62 (define @t10 () (or (= @t2 @t4) (= @t2 @t1))) % 123.43/123.62 (define @t11 () (tptp.member @t2 tptp.universal_class)) % 123.43/123.62 (define @t12 () (and @t11 @t10)) % 123.43/123.62 (define @t13 () (tptp.unordered_pair @t4 @t1)) % 123.43/123.62 (define @t14 () (tptp.member @t2 @t13)) % 123.43/123.62 (define @t15 () (= @t14 @t12)) % 123.43/123.62 (define @t16 () (@list @t2 @t4 @t1)) % 123.43/123.62 (define @t17 () (forall @t16 @t15)) % 123.43/123.62 (define @t18 () (tptp.singleton @t4)) % 123.43/123.62 (define @t19 () (tptp.singleton @t1)) % 123.43/123.62 (define @t20 () (tptp.ordered_pair @t4 @t1)) % 123.43/123.62 (define @t21 () (@var "V" $$unsorted)) % 123.43/123.62 (define @t22 () (tptp.cross_product @t4 @t1)) % 123.43/123.62 (define @t23 () (tptp.ordered_pair @t2 @t21)) % 123.43/123.62 (define @t24 () (tptp.member @t1 tptp.universal_class)) % 123.43/123.62 (define @t25 () (tptp.member @t4 tptp.universal_class)) % 123.43/123.62 (define @t26 () (@var "Z" $$unsorted)) % 123.43/123.62 (define @t27 () (@list @t4 @t1 @t26)) % 123.43/123.62 (define @t28 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 123.43/123.62 (define @t29 () (tptp.member @t26 @t1)) % 123.43/123.62 (define @t30 () (tptp.member @t26 @t4)) % 123.43/123.62 (define @t31 () (tptp.member @t26 tptp.universal_class)) % 123.43/123.62 (define @t32 () (@list @t4 @t26)) % 123.43/123.62 (define @t33 () (@var "XR" $$unsorted)) % 123.43/123.62 (define @t34 () (@var "W" $$unsorted)) % 123.43/123.62 (define @t35 () (tptp.cross_product @t28 tptp.universal_class)) % 123.43/123.62 (define @t36 () (tptp.ordered_pair @t23 @t34)) % 123.43/123.62 (define @t37 () (tptp.member @t36 @t35)) % 123.43/123.62 (define @t38 () (tptp.rotate @t4)) % 123.43/123.62 (define @t39 () (tptp.flip @t4)) % 123.43/123.62 (define @t40 () (tptp.successor @t4)) % 123.43/123.62 (define @t41 () (@list @t1)) % 123.43/123.62 (define @t42 () (@list @t26)) % 123.43/123.62 (define @t43 () (tptp.inductive @t4)) % 123.43/123.62 (define @t44 () (tptp.sum_class @t4)) % 123.43/123.62 (define @t45 () (@list @t2 @t4)) % 123.43/123.62 (define @t46 () (@var "YR" $$unsorted)) % 123.43/123.62 (define @t47 () (tptp.compose @t46 @t33)) % 123.43/123.62 (define @t48 () (@var "XF" $$unsorted)) % 123.43/123.62 (define @t49 () (tptp.function @t48)) % 123.43/123.62 (define @t50 () (@list @t48)) % 123.43/123.62 (define @t51 () (tptp.apply @t48 @t1)) % 123.43/123.62 (define @t52 () (tptp.member @t34 tptp.universal_class)) % 123.43/123.62 (define @t53 () (= (tptp.ordered_pair @t34 @t4) (tptp.ordered_pair @t1 @t26))) % 123.43/123.62 (define @t54 () (and @t53 @t52)) % 123.43/123.62 (define @t55 () (=> @t54 (= @t34 @t1))) % 123.43/123.62 (define @t56 () (@list @t34 @t4 @t1 @t26)) % 123.43/123.62 (define @t57 () (forall @t56 @t55)) % 123.43/123.62 (define @t58 () (not @t57)) % 123.43/123.62 (define @t59 () (= @t1 @t34)) % 123.43/123.62 (define @t60 () (not @t52)) % 123.43/123.62 (define @t61 () (not @t53)) % 123.43/123.62 (define @t62 () (or @t61 @t60 @t59)) % 123.43/123.62 (define @t63 () (forall @t56 @t62)) % 123.43/123.62 (define @t64 () (@quantifiers_skolemize @t63 2)) % 123.43/123.62 (define @t65 () (@quantifiers_skolemize @t63 0)) % 123.43/123.62 (define @t66 () (= @t64 @t65)) % 123.43/123.62 (define @t67 () (or @t66 @t66)) % 123.43/123.62 (define @t68 () (tptp.member @t65 tptp.universal_class)) % 123.43/123.62 (define @t69 () (and @t68 @t67)) % 123.43/123.62 (define @t70 () (tptp.unordered_pair @t64 @t64)) % 123.43/123.62 (define @t71 () (tptp.member @t65 @t70)) % 123.43/123.62 (define @t72 () (= @t71 @t69)) % 123.43/123.62 (define @t73 () (forall @t16 (= @t14 (and @t11 (or (= @t4 @t2) (= @t1 @t2)))))) % 123.43/123.62 (define @t74 () (= @t65 @t64)) % 123.43/123.62 (define @t75 () (and @t68 @t74)) % 123.43/123.62 (define @t76 () (= @t71 @t75)) % 123.43/123.62 (define @t77 () (@list false)) % 123.43/123.62 (define @t78 () (@list @t73)) % 123.43/123.62 (define @t79 () (not @t68)) % 123.43/123.62 (define @t80 () (@quantifiers_skolemize @t63 3)) % 123.43/123.62 (define @t81 () (@quantifiers_skolemize @t63 1)) % 123.43/123.62 (define @t82 () (= (tptp.ordered_pair @t65 @t81) (tptp.ordered_pair @t64 @t80))) % 123.43/123.62 (define @t83 () (not @t82)) % 123.43/123.62 (define @t84 () (or @t83 @t79 @t74)) % 123.43/123.62 (define @t85 () (not @t84)) % 123.43/123.62 (define @t86 () (not @t63)) % 123.43/123.62 (define @t87 () (or @t83 @t79 @t66)) % 123.43/123.62 (define @t88 () (not @t87)) % 123.43/123.62 (define @t89 () (@list true)) % 123.43/123.62 (define @t90 () (@list @t84)) % 123.43/123.62 (define @t91 () (not @t75)) % 123.43/123.62 (define @t92 () (not @t71)) % 123.43/123.62 (define @t93 () (tptp.singleton @t81)) % 123.43/123.62 (define @t94 () (tptp.unordered_pair @t65 @t93)) % 123.43/123.62 (define @t95 () (tptp.member @t65 @t94)) % 123.43/123.62 (define @t96 () (or (= @t65 @t65) (= @t93 @t65))) % 123.43/123.62 (define @t97 () (and @t68 @t96)) % 123.43/123.62 (define @t98 () (= @t95 @t97)) % 123.43/123.62 (define @t99 () (= @t68 @t95)) % 123.43/123.62 (define @t100 () (@list false false)) % 123.43/123.62 (define @t101 () (tptp.singleton @t65)) % 123.43/123.62 (define @t102 () (tptp.singleton @t80)) % 123.43/123.62 (define @t103 () (tptp.unordered_pair @t64 @t102)) % 123.43/123.62 (define @t104 () (tptp.singleton @t64)) % 123.43/123.62 (define @t105 () (= @t104 @t70)) % 123.43/123.62 (define @t106 () (or @t105 (= @t103 @t70))) % 123.43/123.62 (define @t107 () (not @t105)) % 123.43/123.62 (define @t108 () (tptp.member @t70 tptp.universal_class)) % 123.43/123.62 (define @t109 () (and @t108 @t106)) % 123.43/123.62 (define @t110 () (tptp.unordered_pair @t104 @t103)) % 123.43/123.62 (define @t111 () (tptp.member @t70 @t110)) % 123.43/123.62 (define @t112 () (= @t111 @t109)) % 123.43/123.62 (define @t113 () (tptp.unordered_pair @t101 @t94)) % 123.43/123.62 (define @t114 () (tptp.member @t70 @t113)) % 123.43/123.62 (define @t115 () (= @t94 @t70)) % 123.43/123.62 (define @t116 () (= @t101 @t70)) % 123.43/123.62 (define @t117 () (or @t116 @t115)) % 123.43/123.62 (define @t118 () (and @t108 @t117)) % 123.43/123.62 (define @t119 () (= @t114 @t118)) % 123.43/123.62 (define @t120 () (= @t94 @t104)) % 123.43/123.62 (define @t121 () (not @t120)) % 123.43/123.62 (define @t122 () (not @t115)) % 123.43/123.62 (define @t123 () (and @t105 @t122)) % 123.43/123.62 (define @t124 () (or (= @t104 @t94) (= @t103 @t94))) % 123.43/123.62 (define @t125 () (tptp.member @t94 tptp.universal_class)) % 123.43/123.62 (define @t126 () (and @t125 @t124)) % 123.43/123.62 (define @t127 () (tptp.member @t94 @t110)) % 123.43/123.62 (define @t128 () (= @t127 @t126)) % 123.43/123.62 (define @t129 () (= @t94 @t103)) % 123.43/123.62 (define @t130 () (or @t120 @t129)) % 123.43/123.62 (define @t131 () (and @t125 @t130)) % 123.43/123.62 (define @t132 () (= @t127 @t131)) % 123.43/123.62 (define @t133 () (tptp.member @t94 @t113)) % 123.43/123.62 (define @t134 () (= @t101 @t94)) % 123.43/123.62 (define @t135 () (or @t134 (= @t94 @t94))) % 123.43/123.62 (define @t136 () (and @t125 @t135)) % 123.43/123.62 (define @t137 () (= @t133 @t136)) % 123.43/123.62 (define @t138 () (= @t125 @t133)) % 123.43/123.62 (define @t139 () (tptp.member @t65 @t103)) % 123.43/123.62 (define @t140 () (and @t129 @t95)) % 123.43/123.62 (define @t141 () (not @t95)) % 123.43/123.62 (define @t142 () (or @t66 (= @t102 @t65))) % 123.43/123.62 (define @t143 () (and @t68 @t142)) % 123.43/123.62 (define @t144 () (= @t139 @t143)) % 123.43/123.62 (define @t145 () (= @t65 @t102)) % 123.43/123.62 (define @t146 () (or @t74 @t145)) % 123.43/123.62 (define @t147 () (and @t68 @t146)) % 123.43/123.62 (define @t148 () (= @t139 @t147)) % 123.43/123.62 (define @t149 () (tptp.unordered_pair @t80 @t80)) % 123.43/123.62 (define @t150 () (= @t102 @t149)) % 123.43/123.62 (define @t151 () (= @t65 @t149)) % 123.43/123.62 (define @t152 () (and @t150 @t145)) % 123.43/123.62 (define @t153 () (not @t145)) % 123.43/123.62 (define @t154 () (not @t150)) % 123.43/123.62 (define @t155 () (tptp.unordered_pair @t65 @t65)) % 123.43/123.62 (define @t156 () (tptp.member @t149 @t155)) % 123.43/123.62 (define @t157 () (not @t156)) % 123.43/123.62 (define @t158 () (not @t116)) % 123.43/123.62 (define @t159 () (= @t101 @t155)) % 123.43/123.62 (define @t160 () (not @t159)) % 123.43/123.62 (define @t161 () (not @t92)) % 123.43/123.62 (define @t162 () (and @t159 @t150 @t116 @t145 @t92)) % 123.43/123.62 (define @t163 () (tptp.member @t149 tptp.universal_class)) % 123.43/123.62 (define @t164 () (and @t163 @t151)) % 123.43/123.62 (define @t165 () (or @t151 @t151)) % 123.43/123.62 (define @t166 () (and @t163 @t165)) % 123.43/123.62 (define @t167 () (= @t156 @t166)) % 123.43/123.62 (define @t168 () (= @t156 @t164)) % 123.43/123.62 (define @t169 () (and @t92 @t115 @t95)) % 123.43/123.62 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 123.43/123.62 (assume @p2 (forall @t9 (tptp.subclass @t4 tptp.universal_class))) % 123.43/123.62 (assume @p3 (forall @t8 (= (= @t4 @t1) (and @t7 (tptp.subclass @t1 @t4))))) % 123.43/123.62 (assume @p4 @t17) % 123.43/123.62 (assume @p5 (forall @t8 (tptp.member @t13 tptp.universal_class))) % 123.43/123.62 (assume @p6 (forall @t9 (= @t18 (tptp.unordered_pair @t4 @t4)))) % 123.43/123.62 (assume @p7 (forall @t8 (= @t20 (tptp.unordered_pair @t18 (tptp.unordered_pair @t4 @t19))))) % 123.43/123.62 (assume @p8 (forall (@list @t2 @t21 @t4 @t1) (= (tptp.member @t23 @t22) (and @t5 (tptp.member @t21 @t1))))) % 123.43/123.62 (assume @p9 (forall @t8 (=> (and @t25 @t24) (and (= (tptp.first @t20) @t4) (= (tptp.second @t20) @t1))))) % 123.43/123.62 (assume @p10 (forall @t27 (=> (tptp.member @t26 @t22) (= @t26 (tptp.ordered_pair (tptp.first @t26) (tptp.second @t26)))))) % 123.43/123.62 (assume @p11 (forall @t8 (= (tptp.member @t20 tptp.element_relation) (and @t24 (tptp.member @t4 @t1))))) % 123.43/123.62 (assume @p12 (tptp.subclass tptp.element_relation @t28)) % 123.43/123.62 (assume @p13 (forall @t27 (= (tptp.member @t26 (tptp.intersection @t4 @t1)) (and @t30 @t29)))) % 123.43/123.62 (assume @p14 (forall @t32 (= (tptp.member @t26 (tptp.complement @t4)) (and @t31 (not @t30))))) % 123.43/123.62 (assume @p15 (forall (@list @t4 @t33 @t1) (= (tptp.restrict @t33 @t4 @t1) (tptp.intersection @t33 @t22)))) % 123.43/123.62 (assume @p16 (forall @t9 (not (tptp.member @t4 tptp.null_class)))) % 123.43/123.62 (assume @p17 (forall @t32 (= (tptp.member @t26 (tptp.domain_of @t4)) (and @t31 (not (= (tptp.restrict @t4 (tptp.singleton @t26) tptp.universal_class) tptp.null_class)))))) % 123.43/123.62 (assume @p18 (forall (@list @t4 @t2 @t21 @t34) (= (tptp.member @t36 @t38) (and @t37 (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t21 @t34) @t2) @t4))))) % 123.43/123.62 (assume @p19 (forall @t9 (tptp.subclass @t38 @t35))) % 123.43/123.62 (assume @p20 (forall (@list @t2 @t21 @t34 @t4) (= (tptp.member @t36 @t39) (and @t37 (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t21 @t2) @t34) @t4))))) % 123.43/123.62 (assume @p21 (forall @t9 (tptp.subclass @t39 @t35))) % 123.43/123.62 (assume @p22 (forall @t27 (= (tptp.member @t26 (tptp.union @t4 @t1)) (or @t30 @t29)))) % 123.43/123.62 (assume @p23 (forall @t9 (= @t40 (tptp.union @t4 @t18)))) % 123.43/123.62 (assume @p24 (tptp.subclass tptp.successor_relation @t28)) % 123.43/123.62 (assume @p25 (forall @t8 (= (tptp.member @t20 tptp.successor_relation) (and @t25 @t24 (= @t40 @t1))))) % 123.43/123.62 (assume @p26 (forall @t41 (= (tptp.inverse @t1) (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class)))))) % 123.43/123.62 (assume @p27 (forall @t42 (= (tptp.range_of @t26) (tptp.domain_of (tptp.inverse @t26))))) % 123.43/123.62 (assume @p28 (forall (@list @t4 @t33) (= (tptp.image @t33 @t4) (tptp.range_of (tptp.restrict @t33 @t4 tptp.universal_class))))) % 123.43/123.62 (assume @p29 (forall @t9 (= @t43 (and (tptp.member tptp.null_class @t4) (tptp.subclass (tptp.image tptp.successor_relation @t4) @t4))))) % 123.43/123.62 (assume @p30 (exists @t9 (and @t25 @t43 (forall @t41 (=> (tptp.inductive @t1) @t7))))) % 123.43/123.62 (assume @p31 (forall @t45 (= (tptp.member @t2 @t44) (exists @t41 (and @t3 (tptp.member @t1 @t4)))))) % 123.43/123.62 (assume @p32 (forall @t9 (=> @t25 (tptp.member @t44 tptp.universal_class)))) % 123.43/123.62 (assume @p33 (forall @t45 (= (tptp.member @t2 (tptp.power_class @t4)) (and @t11 (tptp.subclass @t2 @t4))))) % 123.43/123.62 (assume @p34 (forall @t6 (=> @t11 (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 123.43/123.62 (assume @p35 (forall (@list @t33 @t46) (tptp.subclass @t47 @t28))) % 123.43/123.62 (assume @p36 (forall (@list @t33 @t46 @t2 @t21) (= (tptp.member @t23 @t47) (and @t11 (tptp.member @t21 (tptp.image @t46 (tptp.image @t33 (tptp.singleton @t2)))))))) % 123.43/123.62 (assume @p37 (forall @t42 (= (tptp.member @t26 tptp.identity_relation) (exists @t9 (and @t25 (= @t26 (tptp.ordered_pair @t4 @t4))))))) % 123.43/123.62 (assume @p38 (forall @t50 (= @t49 (and (tptp.subclass @t48 @t28) (tptp.subclass (tptp.compose @t48 (tptp.inverse @t48)) tptp.identity_relation))))) % 123.43/123.62 (assume @p39 (forall (@list @t4 @t48) (=> (and @t25 @t49) (tptp.member (tptp.image @t48 @t4) tptp.universal_class)))) % 123.43/123.62 (assume @p40 (forall @t8 (= (tptp.disjoint @t4 @t1) (forall @t6 (not (and @t5 @t3)))))) % 123.43/123.62 (assume @p41 (forall @t9 (=> (not (= @t4 tptp.null_class)) (exists @t6 (and @t11 @t5 (tptp.disjoint @t2 @t4)))))) % 123.43/123.62 (assume @p42 (forall (@list @t48 @t1) (= @t51 (tptp.sum_class (tptp.image @t48 @t19))))) % 123.43/123.62 (assume @p43 (exists @t50 (and @t49 (forall @t41 (=> @t24 (or (= @t1 tptp.null_class) (tptp.member @t51 @t1))))))) % 123.43/123.62 (assume @p44 @t58) % 123.43/123.62 (assume @p45 true) % 123.43/123.62 (step @p46 :rule eq-symm :args (@t2 @t1)) % 123.43/123.62 (step @p47 :rule eq-symm :args (@t2 @t4)) % 123.43/123.62 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t10)) % 123.43/123.62 (step @p49 :rule refl :args (@t11)) % 123.43/123.62 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t12)) % 123.43/123.62 (step @p51 :rule refl :args (@t14)) % 123.43/123.62 (step @p52 :rule cong :premises (@p51 @p50) :args (@t15)) % 123.43/123.62 (step @p53 :rule cong :premises (@p52) :args (@t17)) % 123.43/123.62 (step @p54 :rule eq_resolve :premises (@p4 @p53)) % 123.43/123.62 (step @p55 :rule eq-symm :args (@t64 @t65)) % 123.43/123.62 (step @p56 :rule aci_norm :args ((= @t67 @t66))) % 123.43/123.62 (step @p57 :rule trans :premises (@p56 @p55)) % 123.43/123.62 (step @p58 :rule refl :args (@t68)) % 123.43/123.62 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t69)) % 123.43/123.62 (step @p60 :rule refl :args (@t71)) % 123.43/123.62 (step @p61 :rule cong :premises (@p60 @p59) :args (@t72)) % 123.43/123.62 (step @p62 :rule refl :args (@t73)) % 123.43/123.62 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t73 @t72))) % 123.43/123.62 (assume-push @p413 @t73) % 123.43/123.62 (step @p65 :rule instantiate :premises (@p54) :args ((@list @t65 @t64 @t64))) % 123.43/123.62 (step-pop @p414 :rule scope :premises (@p65)) % 123.43/123.62 (step @p66 :rule process_scope :premises (@p414) :args (@t72)) % 123.43/123.62 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 123.43/123.62 (step @p69 :rule implies_elim :premises (@p68)) % 123.43/123.62 (step @p70 :rule chain_m_resolution :premises (@p69 @p54) :args (@t76 @t77 @t78)) % 123.43/123.62 (step @p71 :rule aci_norm :args ((= (or (or @t61 @t60) @t59) @t62))) % 123.43/123.62 (step @p72 :rule refl :args (@t59)) % 123.43/123.62 (step @p73 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 123.43/123.62 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or (not @t54) @t59))) % 123.43/123.62 (step @p75 :rule trans :premises (@p74 @p71)) % 123.43/123.62 (step @p76 :rule bool-impl-elim :args (@t54 @t59)) % 123.43/123.62 (step @p77 :rule trans :premises (@p76 @p75)) % 123.43/123.62 (step @p78 :rule cong :premises (@p77) :args ((forall @t56 (=> @t54 @t59)))) % 123.43/123.62 (step @p79 :rule eq-symm :args (@t34 @t1)) % 123.43/123.62 (step @p80 :rule refl :args (@t54)) % 123.43/123.62 (step @p81 :rule cong :premises (@p80 @p79) :args (@t55)) % 123.43/123.62 (step @p82 :rule cong :premises (@p81) :args (@t57)) % 123.43/123.62 (step @p83 :rule trans :premises (@p82 @p78)) % 123.43/123.62 (step @p84 :rule cong :premises (@p83) :args (@t58)) % 123.43/123.62 (step @p85 :rule eq_resolve :premises (@p44 @p84)) % 123.43/123.62 (step @p86 :rule refl :args (@t85)) % 123.43/123.62 (step @p87 :rule bool-double-not-elim :args (@t63)) % 123.43/123.62 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t86) @t85))) % 123.43/123.62 (step @p89 :rule refl :args (@t79)) % 123.43/123.62 (step @p90 :rule refl :args (@t83)) % 123.43/123.62 (step @p91 :rule nary_cong :premises (@p90 @p89 @p55) :args (@t87)) % 123.43/123.62 (step @p92 :rule cong :premises (@p91) :args (@t88)) % 123.43/123.62 (step @p93 :rule refl :args (@t86)) % 123.43/123.62 (step @p94 :rule cong :premises (@p93 @p92) :args ((=> @t86 @t88))) % 123.43/123.62 (assume-push @p415 @t86) % 123.43/123.62 (step @p96 :rule skolemize :premises (@p85)) % 123.43/123.62 (step-pop @p416 :rule scope :premises (@p96)) % 123.43/123.62 (step @p97 :rule process_scope :premises (@p416) :args (@t88)) % 123.43/123.62 (step @p99 :rule eq_resolve :premises (@p97 @p94)) % 123.43/123.62 (step @p100 :rule implies_elim :premises (@p99)) % 123.43/123.62 (step @p101 :rule eq_resolve :premises (@p100 @p88)) % 123.43/123.62 (step @p102 :rule chain_m_resolution :premises (@p101 @p85) :args (@t85 @t89 (@list @t63))) % 123.43/123.62 (step @p103 :rule cnf_or_neg :args (@t84 2)) % 123.43/123.62 (step @p104 :rule chain_m_resolution :premises (@p103 @p102) :args ((not @t74) @t89 @t90)) % 123.43/123.62 (step @p105 :rule cnf_and_pos :args (@t75 1)) % 123.43/123.62 (step @p106 :rule reordering :premises (@p105) :args ((or @t74 @t91))) % 123.43/123.62 (step @p107 :rule chain_m_resolution :premises (@p106 @p104) :args (@t91 @t89 (@list @t74))) % 123.43/123.62 (step @p108 :rule cnf_equiv_pos1 :args (@t76)) % 123.43/123.62 (step @p109 :rule reordering :premises (@p108) :args ((or @t75 @t92 (not @t76)))) % 123.43/123.62 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p70) :args (@t92 (@list true false) (@list @t75 @t76))) % 123.43/123.62 (step @p111 :rule eq-symm :args (@t95 @t68)) % 123.43/123.62 (step @p112 :rule aci_norm :args ((= (and @t68 true) @t68))) % 123.43/123.62 (step @p113 :rule absorb :args ((= (or true (= @t65 @t93)) true))) % 123.43/123.62 (step @p114 :rule eq-symm :args (@t93 @t65)) % 123.43/123.62 (step @p115 :rule eq-refl :args (@t65)) % 123.43/123.62 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t96)) % 123.43/123.62 (step @p117 :rule trans :premises (@p116 @p113)) % 123.43/123.62 (step @p118 :rule nary_cong :premises (@p58 @p117) :args (@t97)) % 123.43/123.62 (step @p119 :rule trans :premises (@p118 @p112)) % 123.43/123.62 (step @p120 :rule refl :args (@t95)) % 123.43/123.62 (step @p121 :rule cong :premises (@p120 @p119) :args (@t98)) % 123.43/123.62 (step @p122 :rule trans :premises (@p121 @p111)) % 123.43/123.62 (step @p123 :rule cong :premises (@p62 @p122) :args ((=> @t73 @t98))) % 123.43/123.62 (assume-push @p417 @t73) % 123.43/123.62 (step @p125 :rule instantiate :premises (@p54) :args ((@list @t65 @t65 @t93))) % 123.43/123.62 (step-pop @p418 :rule scope :premises (@p125)) % 123.43/123.62 (step @p126 :rule process_scope :premises (@p418) :args (@t98)) % 123.43/123.62 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 123.43/123.62 (step @p129 :rule implies_elim :premises (@p128)) % 123.43/123.62 (step @p130 :rule chain_m_resolution :premises (@p129 @p54) :args (@t99 @t77 @t78)) % 123.43/123.62 (step @p131 :rule bool-double-not-elim :args (@t68)) % 123.43/123.62 (step @p132 :rule refl :args (@t84)) % 123.43/123.62 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t84 (not @t79)))) % 123.43/123.62 (step @p134 :rule cnf_or_neg :args (@t84 1)) % 123.43/123.62 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 123.43/123.62 (step @p136 :rule reordering :premises (@p135) :args ((or @t68 @t84))) % 123.43/123.62 (step @p137 :rule chain_m_resolution :premises (@p136 @p102) :args (@t68 @t89 @t90)) % 123.43/123.62 (step @p138 :rule cnf_equiv_pos1 :args (@t99)) % 123.43/123.62 (step @p139 :rule reordering :premises (@p138) :args ((or @t79 @t95 (not @t99)))) % 123.43/123.62 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p130) :args (@t95 @t100 (@list @t68 @t99))) % 123.43/123.62 (step @p141 :rule instantiate :premises (@p54) :args ((@list @t70 @t101 @t94))) % 123.43/123.62 (step @p142 :rule instantiate :premises (@p54) :args ((@list @t70 @t104 @t103))) % 123.43/123.62 (step @p143 :rule instantiate :premises (@p6) :args ((@list @t64))) % 123.43/123.62 (step @p144 :rule cnf_or_neg :args (@t106 0)) % 123.43/123.62 (step @p145 :rule reordering :premises (@p144) :args ((or @t107 @t106))) % 123.43/123.62 (step @p146 :rule chain_m_resolution :premises (@p145 @p143) :args (@t106 @t77 (@list @t105))) % 123.43/123.62 (step @p147 :rule instantiate :premises (@p5) :args ((@list @t64 @t64))) % 123.43/123.62 (step @p148 :rule cnf_and_neg :args (@t109)) % 123.43/123.62 (step @p149 :rule reordering :premises (@p148) :args ((or (not @t108) @t109 (not @t106)))) % 123.43/123.62 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p146) :args (@t109 @t100 (@list @t108 @t106))) % 123.43/123.62 (step @p151 :rule cnf_equiv_pos2 :args (@t112)) % 123.43/123.62 (step @p152 :rule reordering :premises (@p151) :args ((or @t111 (not @t109) (not @t112)))) % 123.43/123.62 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p142) :args (@t111 @t100 (@list @t109 @t112))) % 123.43/123.62 (step @p154 :rule true_intro :premises (@p153)) % 123.43/123.62 (step @p155 :rule instantiate :premises (@p7) :args ((@list @t64 @t80))) % 123.43/123.62 (step @p156 :rule bool-double-not-elim :args (@t82)) % 123.43/123.62 (step @p157 :rule nary_cong :premises (@p132 @p156) :args ((or @t84 (not @t83)))) % 123.43/123.62 (step @p158 :rule cnf_or_neg :args (@t84 0)) % 123.43/123.62 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 123.43/123.62 (step @p160 :rule reordering :premises (@p159) :args ((or @t82 @t84))) % 123.43/123.62 (step @p161 :rule chain_m_resolution :premises (@p160 @p102) :args (@t82 @t89 @t90)) % 123.43/123.62 (step @p162 :rule instantiate :premises (@p7) :args ((@list @t65 @t81))) % 123.43/123.62 (step @p163 :rule symm :premises (@p162)) % 123.43/123.62 (step @p164 :rule trans :premises (@p163 @p161 @p155)) % 123.43/123.62 (step @p165 :rule refl :args (@t70)) % 123.43/123.62 (step @p166 :rule cong :premises (@p165 @p164) :args (@t114)) % 123.43/123.62 (step @p167 :rule trans :premises (@p166 @p154)) % 123.43/123.62 (step @p168 :rule true_elim :premises (@p167)) % 123.43/123.62 (step @p169 :rule cnf_equiv_pos1 :args (@t119)) % 123.43/123.62 (step @p170 :rule reordering :premises (@p169) :args ((or @t118 (not @t114) (not @t119)))) % 123.43/123.62 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p141) :args (@t118 @t100 (@list @t114 @t119))) % 123.43/123.62 (step @p172 :rule cnf_and_pos :args (@t118 1)) % 123.43/123.62 (step @p173 :rule reordering :premises (@p172) :args ((or @t117 (not @t118)))) % 123.43/123.62 (step @p174 :rule chain_m_resolution :premises (@p173 @p171) :args (@t117 @t77 (@list @t118))) % 123.43/123.62 (step @p175 :rule cnf_or_pos :args (@t117)) % 123.43/123.62 (step @p176 :rule reordering :premises (@p175) :args ((or @t116 @t115 (not @t117)))) % 123.43/123.62 (step @p177 :rule refl :args (@t121)) % 123.43/123.62 (step @p178 :rule bool-double-not-elim :args (@t115)) % 123.43/123.62 (step @p179 :rule refl :args (@t107)) % 123.43/123.62 (step @p180 :rule nary_cong :premises (@p179 @p178 @p177) :args ((or @t107 (not @t122) @t121))) % 123.43/123.62 (assume-push @p419 @t105) % 123.43/123.62 (assume-push @p420 @t122) % 123.43/123.62 (assume-push @p421 @t122) % 123.43/123.62 (assume-push @p422 @t105) % 123.43/123.62 (step @p185 :rule false_intro :premises (@p420)) % 123.43/123.62 (step @p186 :rule refl :args (@t94)) % 123.43/123.62 (step @p187 :rule cong :premises (@p186 @p143) :args (@t120)) % 123.43/123.62 (step @p188 :rule trans :premises (@p187 @p185)) % 123.43/123.62 (step @p189 :rule false_elim :premises (@p188)) % 123.43/123.62 (step-pop @p423 :rule scope :premises (@p189)) % 123.43/123.62 (step-pop @p424 :rule scope :premises (@p423)) % 123.43/123.62 (step @p190 :rule process_scope :premises (@p424) :args (@t121)) % 123.43/123.62 (step @p193 :rule and_intro :premises (@p420 @p143)) % 123.43/123.62 (step @p194 :rule modus_ponens :premises (@p193 @p190)) % 123.43/123.62 (step-pop @p425 :rule scope :premises (@p194)) % 123.43/123.62 (step-pop @p426 :rule scope :premises (@p425)) % 123.43/123.62 (step @p195 :rule process_scope :premises (@p426) :args (@t121)) % 123.43/123.62 (step @p198 :rule implies_elim :premises (@p195)) % 123.43/123.62 (step @p199 :rule cnf_and_neg :args (@t123)) % 123.43/123.62 (step @p200 :rule resolution :premises (@p199 @p198) :args (true @t123)) % 123.43/123.62 (step @p201 :rule eq_resolve :premises (@p200 @p180)) % 123.43/123.62 (step @p202 :rule eq-symm :args (@t103 @t94)) % 123.43/123.62 (step @p203 :rule eq-symm :args (@t104 @t94)) % 123.43/123.62 (step @p204 :rule nary_cong :premises (@p203 @p202) :args (@t124)) % 123.43/123.62 (step @p205 :rule refl :args (@t125)) % 123.43/123.62 (step @p206 :rule nary_cong :premises (@p205 @p204) :args (@t126)) % 123.43/123.62 (step @p207 :rule refl :args (@t127)) % 123.43/123.62 (step @p208 :rule cong :premises (@p207 @p206) :args (@t128)) % 123.43/123.62 (step @p209 :rule cong :premises (@p62 @p208) :args ((=> @t73 @t128))) % 123.43/123.62 (assume-push @p427 @t73) % 123.43/123.62 (step @p211 :rule instantiate :premises (@p54) :args ((@list @t94 @t104 @t103))) % 123.43/123.62 (step-pop @p428 :rule scope :premises (@p211)) % 123.43/123.62 (step @p212 :rule process_scope :premises (@p428) :args (@t128)) % 123.43/123.62 (step @p214 :rule eq_resolve :premises (@p212 @p209)) % 123.43/123.62 (step @p215 :rule implies_elim :premises (@p214)) % 123.43/123.62 (step @p216 :rule chain_m_resolution :premises (@p215 @p54) :args (@t132 @t77 @t78)) % 123.43/123.62 (step @p217 :rule eq-symm :args (@t133 @t125)) % 123.43/123.62 (step @p218 :rule aci_norm :args ((= (and @t125 true) @t125))) % 123.43/123.62 (step @p219 :rule absorb :args ((= (or @t134 true) true))) % 123.43/123.62 (step @p220 :rule eq-refl :args (@t94)) % 123.43/123.62 (step @p221 :rule refl :args (@t134)) % 123.43/123.62 (step @p222 :rule nary_cong :premises (@p221 @p220) :args (@t135)) % 123.43/123.62 (step @p223 :rule trans :premises (@p222 @p219)) % 123.43/123.62 (step @p224 :rule nary_cong :premises (@p205 @p223) :args (@t136)) % 123.43/123.62 (step @p225 :rule trans :premises (@p224 @p218)) % 123.43/123.62 (step @p226 :rule refl :args (@t133)) % 123.43/123.62 (step @p227 :rule cong :premises (@p226 @p225) :args (@t137)) % 123.43/123.62 (step @p228 :rule trans :premises (@p227 @p217)) % 123.43/123.62 (step @p229 :rule cong :premises (@p62 @p228) :args ((=> @t73 @t137))) % 123.43/123.62 (assume-push @p429 @t73) % 123.43/123.62 (step @p231 :rule instantiate :premises (@p54) :args ((@list @t94 @t101 @t94))) % 123.43/123.62 (step-pop @p430 :rule scope :premises (@p231)) % 123.43/123.62 (step @p232 :rule process_scope :premises (@p430) :args (@t137)) % 123.43/123.62 (step @p234 :rule eq_resolve :premises (@p232 @p229)) % 123.43/123.62 (step @p235 :rule implies_elim :premises (@p234)) % 123.43/123.62 (step @p236 :rule chain_m_resolution :premises (@p235 @p54) :args (@t138 @t77 @t78)) % 123.43/123.62 (step @p237 :rule instantiate :premises (@p5) :args ((@list @t65 @t93))) % 123.43/123.62 (step @p238 :rule cnf_equiv_pos1 :args (@t138)) % 123.43/123.62 (step @p239 :rule reordering :premises (@p238) :args ((or (not @t125) @t133 (not @t138)))) % 123.43/123.62 (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p236) :args (@t133 @t100 (@list @t125 @t138))) % 123.43/123.62 (step @p241 :rule true_intro :premises (@p240)) % 123.43/123.62 (step @p242 :rule symm :premises (@p161)) % 123.43/123.62 (step @p243 :rule symm :premises (@p155)) % 123.43/123.62 (step @p244 :rule trans :premises (@p243 @p242 @p162)) % 123.43/123.62 (step @p186 :rule refl :args (@t94)) % 123.43/123.62 (step @p245 :rule cong :premises (@p186 @p244) :args (@t127)) % 123.43/123.62 (step @p246 :rule trans :premises (@p245 @p241)) % 123.43/123.62 (step @p247 :rule true_elim :premises (@p246)) % 123.43/123.62 (step @p248 :rule cnf_equiv_pos1 :args (@t132)) % 123.43/123.62 (step @p249 :rule reordering :premises (@p248) :args ((or @t131 (not @t127) (not @t132)))) % 123.43/123.62 (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p216) :args (@t131 @t100 (@list @t127 @t132))) % 123.43/123.62 (step @p251 :rule cnf_and_pos :args (@t131 1)) % 123.43/123.62 (step @p252 :rule reordering :premises (@p251) :args ((or @t130 (not @t131)))) % 123.43/123.62 (step @p253 :rule chain_m_resolution :premises (@p252 @p250) :args (@t130 @t77 (@list @t131))) % 123.43/123.62 (step @p254 :rule cnf_or_pos :args (@t130)) % 123.43/123.62 (step @p255 :rule reordering :premises (@p254) :args ((or @t120 @t129 (not @t130)))) % 123.43/123.62 (assume-push @p431 @t129) % 123.43/123.62 (assume-push @p432 @t95) % 123.43/123.62 (assume-push @p433 @t95) % 123.43/123.62 (assume-push @p434 @t129) % 123.43/123.62 (step @p260 :rule true_intro :premises (@p140)) % 123.43/123.62 (step @p261 :rule symm :premises (@p431)) % 123.43/123.62 (step @p262 :rule refl :args (@t65)) % 123.43/123.62 (step @p263 :rule cong :premises (@p262 @p261) :args (@t139)) % 123.43/123.62 (step @p264 :rule trans :premises (@p263 @p260)) % 123.43/123.62 (step @p265 :rule true_elim :premises (@p264)) % 123.43/123.62 (step-pop @p435 :rule scope :premises (@p265)) % 123.43/123.62 (step-pop @p436 :rule scope :premises (@p435)) % 123.43/123.62 (step @p266 :rule process_scope :premises (@p436) :args (@t139)) % 123.43/123.62 (step @p269 :rule and_intro :premises (@p140 @p431)) % 123.43/123.62 (step @p270 :rule modus_ponens :premises (@p269 @p266)) % 123.43/123.62 (step-pop @p437 :rule scope :premises (@p270)) % 123.43/123.62 (step-pop @p438 :rule scope :premises (@p437)) % 123.43/123.62 (step @p271 :rule process_scope :premises (@p438) :args (@t139)) % 123.43/123.62 (step @p274 :rule implies_elim :premises (@p271)) % 123.43/123.62 (step @p275 :rule cnf_and_neg :args (@t140)) % 123.43/123.62 (step @p276 :rule resolution :premises (@p275 @p274) :args (true @t140)) % 123.43/123.62 (step @p277 :rule reordering :premises (@p276) :args ((or @t139 (not @t129) @t141))) % 123.43/123.62 (step @p278 :rule eq-symm :args (@t102 @t65)) % 123.43/123.62 (step @p279 :rule nary_cong :premises (@p55 @p278) :args (@t142)) % 123.43/123.62 (step @p280 :rule nary_cong :premises (@p58 @p279) :args (@t143)) % 123.43/123.62 (step @p281 :rule refl :args (@t139)) % 123.43/123.62 (step @p282 :rule cong :premises (@p281 @p280) :args (@t144)) % 123.43/123.62 (step @p283 :rule cong :premises (@p62 @p282) :args ((=> @t73 @t144))) % 123.43/123.62 (assume-push @p439 @t73) % 123.43/123.62 (step @p285 :rule instantiate :premises (@p54) :args ((@list @t65 @t64 @t102))) % 123.43/123.62 (step-pop @p440 :rule scope :premises (@p285)) % 123.43/123.62 (step @p286 :rule process_scope :premises (@p440) :args (@t144)) % 123.43/123.62 (step @p288 :rule eq_resolve :premises (@p286 @p283)) % 123.43/123.62 (step @p289 :rule implies_elim :premises (@p288)) % 123.43/123.62 (step @p290 :rule chain_m_resolution :premises (@p289 @p54) :args (@t148 @t77 @t78)) % 123.43/123.62 (step @p291 :rule cnf_equiv_pos1 :args (@t148)) % 123.43/123.62 (step @p292 :rule reordering :premises (@p291) :args ((or @t147 (not @t139) (not @t148)))) % 123.43/123.62 (step @p293 :rule cnf_and_pos :args (@t147 1)) % 123.43/123.62 (step @p294 :rule reordering :premises (@p293) :args ((or @t146 (not @t147)))) % 123.43/123.62 (step @p295 :rule cnf_or_pos :args (@t146)) % 123.43/123.62 (step @p296 :rule reordering :premises (@p295) :args ((or @t74 @t145 (not @t146)))) % 123.43/123.62 (step @p297 :rule instantiate :premises (@p6) :args ((@list @t80))) % 123.43/123.62 (assume-push @p441 @t150) % 123.43/123.62 (assume-push @p442 @t145) % 123.43/123.62 (assume-push @p443 @t150) % 123.43/123.62 (assume-push @p444 @t145) % 123.43/123.62 (step @p302 :rule trans :premises (@p442 @p297)) % 123.43/123.62 (step-pop @p445 :rule scope :premises (@p302)) % 123.43/123.62 (step-pop @p446 :rule scope :premises (@p445)) % 123.43/123.62 (step @p303 :rule process_scope :premises (@p446) :args (@t151)) % 123.43/123.62 (step @p306 :rule and_intro :premises (@p297 @p442)) % 123.43/123.62 (step @p307 :rule modus_ponens :premises (@p306 @p303)) % 123.43/123.62 (step-pop @p447 :rule scope :premises (@p307)) % 123.43/123.62 (step-pop @p448 :rule scope :premises (@p447)) % 123.43/123.62 (step @p308 :rule process_scope :premises (@p448) :args (@t151)) % 123.43/123.62 (step @p311 :rule implies_elim :premises (@p308)) % 123.43/123.62 (step @p312 :rule cnf_and_neg :args (@t152)) % 123.43/123.62 (step @p313 :rule resolution :premises (@p312 @p311) :args (true @t152)) % 123.43/123.62 (step @p314 :rule reordering :premises (@p313) :args ((or @t154 @t151 @t153))) % 123.43/123.62 (step @p315 :rule instantiate :premises (@p6) :args ((@list @t65))) % 123.43/123.62 (step @p316 :rule refl :args (@t157)) % 123.43/123.62 (step @p317 :rule bool-double-not-elim :args (@t71)) % 123.43/123.62 (step @p318 :rule refl :args (@t153)) % 123.43/123.62 (step @p319 :rule refl :args (@t158)) % 123.43/123.62 (step @p320 :rule refl :args (@t154)) % 123.43/123.62 (step @p321 :rule refl :args (@t160)) % 123.43/123.62 (step @p322 :rule nary_cong :premises (@p321 @p320 @p319 @p318 @p317 @p316) :args ((or @t160 @t154 @t158 @t153 @t161 @t157))) % 123.43/123.62 (assume-push @p449 @t159) % 123.43/123.62 (assume-push @p450 @t150) % 123.43/123.62 (assume-push @p451 @t116) % 123.43/123.62 (assume-push @p452 @t145) % 123.43/123.62 (assume-push @p453 @t92) % 123.43/123.62 (assume-push @p454 @t92) % 123.43/123.62 (assume-push @p455 @t116) % 123.43/123.62 (assume-push @p456 @t145) % 123.43/123.62 (assume-push @p457 @t150) % 123.43/123.62 (assume-push @p458 @t159) % 123.43/123.62 (step @p333 :rule false_intro :premises (@p110)) % 123.43/123.62 (step @p262 :rule refl :args (@t65)) % 123.43/123.62 (step @p334 :rule cong :premises (@p262 @p451) :args ((tptp.member @t65 @t101))) % 123.43/123.62 (step @p335 :rule symm :premises (@p451)) % 123.43/123.62 (step @p336 :rule symm :premises (@p452)) % 123.43/123.62 (step @p337 :rule symm :premises (@p297)) % 123.43/123.62 (step @p338 :rule trans :premises (@p337 @p336)) % 123.43/123.62 (step @p339 :rule cong :premises (@p338 @p335) :args ((tptp.member @t149 @t70))) % 123.43/123.62 (step @p340 :rule symm :premises (@p315)) % 123.43/123.62 (step @p341 :rule trans :premises (@p340 @p451)) % 123.43/123.62 (step @p342 :rule refl :args (@t149)) % 123.43/123.62 (step @p343 :rule cong :premises (@p342 @p341) :args (@t156)) % 123.43/123.62 (step @p344 :rule trans :premises (@p343 @p339 @p334 @p333)) % 123.43/123.62 (step @p345 :rule false_elim :premises (@p344)) % 123.43/123.62 (step-pop @p459 :rule scope :premises (@p345)) % 123.43/123.62 (step-pop @p460 :rule scope :premises (@p459)) % 123.43/123.62 (step-pop @p461 :rule scope :premises (@p460)) % 123.43/123.62 (step-pop @p462 :rule scope :premises (@p461)) % 123.43/123.62 (step-pop @p463 :rule scope :premises (@p462)) % 123.43/123.62 (step @p346 :rule process_scope :premises (@p463) :args (@t157)) % 123.43/123.62 (step @p352 :rule and_intro :premises (@p110 @p451 @p452 @p297 @p315)) % 123.43/123.62 (step @p353 :rule modus_ponens :premises (@p352 @p346)) % 123.43/123.62 (step-pop @p464 :rule scope :premises (@p353)) % 123.43/123.62 (step-pop @p465 :rule scope :premises (@p464)) % 123.43/123.62 (step-pop @p466 :rule scope :premises (@p465)) % 123.43/123.62 (step-pop @p467 :rule scope :premises (@p466)) % 123.43/123.62 (step-pop @p468 :rule scope :premises (@p467)) % 123.43/123.62 (step @p354 :rule process_scope :premises (@p468) :args (@t157)) % 123.43/123.62 (step @p360 :rule implies_elim :premises (@p354)) % 123.43/123.62 (step @p361 :rule cnf_and_neg :args (@t162)) % 123.43/123.62 (step @p362 :rule resolution :premises (@p361 @p360) :args (true @t162)) % 123.43/123.62 (step @p363 :rule eq_resolve :premises (@p362 @p322)) % 123.43/123.62 (step @p364 :rule reordering :premises (@p363) :args ((or @t160 @t154 @t71 @t158 @t153 @t157))) % 123.43/123.62 (step @p365 :rule instantiate :premises (@p5) :args ((@list @t80 @t80))) % 123.43/123.62 (step @p366 :rule cnf_and_neg :args (@t164)) % 123.43/123.62 (step @p367 :rule reordering :premises (@p366) :args ((or (not @t163) @t164 (not @t151)))) % 123.43/123.62 (step @p368 :rule aci_norm :args ((= @t165 @t151))) % 123.43/123.62 (step @p369 :rule refl :args (@t163)) % 123.43/123.62 (step @p370 :rule nary_cong :premises (@p369 @p368) :args (@t166)) % 123.43/123.62 (step @p371 :rule refl :args (@t156)) % 123.43/123.62 (step @p372 :rule cong :premises (@p371 @p370) :args (@t167)) % 123.43/123.62 (step @p373 :rule cong :premises (@p62 @p372) :args ((=> @t73 @t167))) % 123.43/123.62 (assume-push @p469 @t73) % 123.43/123.62 (step @p375 :rule instantiate :premises (@p54) :args ((@list @t149 @t65 @t65))) % 123.43/123.62 (step-pop @p470 :rule scope :premises (@p375)) % 123.43/123.62 (step @p376 :rule process_scope :premises (@p470) :args (@t167)) % 123.43/123.62 (step @p378 :rule eq_resolve :premises (@p376 @p373)) % 123.43/123.62 (step @p379 :rule implies_elim :premises (@p378)) % 123.43/123.62 (step @p380 :rule chain_m_resolution :premises (@p379 @p54) :args (@t168 @t77 @t78)) % 123.43/123.62 (step @p381 :rule cnf_equiv_pos2 :args (@t168)) % 123.43/123.62 (step @p382 :rule reordering :premises (@p381) :args ((or @t156 (not @t164) (not @t168)))) % 123.43/123.62 (step @p383 :rule chain_m_resolution :premises (@p382 @p380 @p367 @p365 @p364 @p110 @p297 @p315 @p314 @p297 @p296 @p104 @p294 @p292 @p290 @p277 @p140 @p255 @p253 @p201 @p143 @p176 @p174) :args (@t115 (@list false false false true true false false false false false true false false false false false false false true false false false) (@list @t168 @t164 @t163 @t156 @t71 @t150 @t159 @t151 @t150 @t145 @t74 @t146 @t147 @t148 @t139 @t95 @t129 @t130 @t120 @t105 @t116 @t117))) % 123.43/123.62 (step @p384 :rule refl :args (@t141)) % 123.43/123.62 (step @p385 :rule refl :args (@t122)) % 123.43/123.63 (step @p386 :rule nary_cong :premises (@p385 @p317 @p384) :args ((or @t122 @t161 @t141))) % 123.43/123.63 (assume-push @p471 @t92) % 123.43/123.63 (assume-push @p472 @t115) % 123.43/123.63 (assume-push @p473 @t95) % 123.43/123.63 (step @p390 :rule evaluate :args ((= true false))) % 123.43/123.63 (step @p333 :rule false_intro :premises (@p110)) % 123.43/123.63 (step @p262 :rule refl :args (@t65)) % 123.43/123.63 (step @p391 :rule cong :premises (@p262 @p472) :args (@t95)) % 123.43/123.63 (step @p260 :rule true_intro :premises (@p140)) % 123.43/123.63 (step @p392 :rule symm :premises (@p260)) % 123.43/123.63 (step @p393 :rule trans :premises (@p392 @p391 @p333)) % 123.43/123.63 (step @p394 false :rule eq_resolve :premises (@p393 @p390)) % 123.43/123.63 (step-pop @p474 :rule scope :premises (@p394)) % 123.43/123.63 (step-pop @p475 :rule scope :premises (@p474)) % 123.43/123.63 (step-pop @p476 :rule scope :premises (@p475)) % 123.43/123.63 (step @p395 :rule process_scope :premises (@p476) :args (false)) % 123.43/123.63 (assume-push @p477 @t115) % 123.43/123.63 (assume-push @p478 @t92) % 123.43/123.63 (assume-push @p479 @t95) % 123.43/123.63 (step @p402 :rule and_intro :premises (@p110 @p477 @p140)) % 123.43/123.63 (step-pop @p480 :rule scope :premises (@p402)) % 123.43/123.63 (step-pop @p481 :rule scope :premises (@p480)) % 123.43/123.63 (step-pop @p482 :rule scope :premises (@p481)) % 123.43/123.63 (step @p403 :rule process_scope :premises (@p482) :args (@t169)) % 123.43/123.63 (step @p407 :rule implies_elim :premises (@p403)) % 123.43/123.63 (step @p408 :rule resolution :premises (@p407 @p395) :args (true @t169)) % 123.43/123.63 (step @p409 :rule not_and :premises (@p408)) % 123.43/123.63 (step @p410 :rule eq_resolve :premises (@p409 @p386)) % 123.43/123.63 (step @p411 :rule reordering :premises (@p410) :args ((or @t71 @t122 @t141))) % 123.43/123.63 (step @p412 false :rule chain_m_resolution :premises (@p411 @p383 @p140 @p110) :args (false (@list false false true) (@list @t115 @t95 @t71))) % 123.43/123.63 ) % 123.43/123.63 % SZS output end Proof % 123.43/123.63 % cvc5 exiting %------------------------------------------------------------------------------