%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU017+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:50:27 AM UTC 2026 % Result : Theorem 112.13s 113.01s % Output : Proof 112.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU017+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:24:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 112.13/113.01 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 112.13/113.01 --- Run --no-e-matching --full-saturate-quant at 6... % 112.13/113.01 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 112.13/113.01 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 112.13/113.01 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 112.13/113.01 --- Run --trigger-sel=max --full-saturate-quant at 15... % 112.13/113.01 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.13/113.01 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 112.13/113.01 % SZS status Theorem % 112.13/113.01 % SZS output start Proof % 112.13/113.01 ( % 112.13/113.01 (declare-sort $$unsorted 0) % 112.13/113.01 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 112.13/113.01 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 112.13/113.01 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 112.13/113.01 (declare-const tptp.empty (-> $$unsorted Bool)) % 112.13/113.01 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 112.13/113.01 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 112.13/113.01 (declare-const tptp.relation (-> $$unsorted Bool)) % 112.13/113.01 (declare-const tptp.function (-> $$unsorted Bool)) % 112.13/113.01 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 112.13/113.01 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 112.13/113.01 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 112.13/113.01 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 112.13/113.01 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 112.13/113.01 (declare-const tptp.empty_set $$unsorted) % 112.13/113.01 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 112.13/113.01 (define @t1 () (@var "A" $$unsorted)) % 112.13/113.01 (define @t2 () (@var "B" $$unsorted)) % 112.13/113.01 (define @t3 () (tptp.in @t1 @t2)) % 112.13/113.01 (define @t4 () (@list @t1 @t2)) % 112.13/113.01 (define @t5 () (tptp.function @t1)) % 112.13/113.01 (define @t6 () (tptp.empty @t1)) % 112.13/113.01 (define @t7 () (@list @t1)) % 112.13/113.01 (define @t8 () (tptp.relation @t1)) % 112.13/113.01 (define @t9 () (@var "D" $$unsorted)) % 112.13/113.01 (define @t10 () (@var "C" $$unsorted)) % 112.13/113.01 (define @t11 () (= @t10 (tptp.apply @t1 @t9))) % 112.13/113.01 (define @t12 () (tptp.relation_dom @t1)) % 112.13/113.01 (define @t13 () (tptp.in @t9 @t12)) % 112.13/113.01 (define @t14 () (and @t13 @t11)) % 112.13/113.01 (define @t15 () (@list @t9)) % 112.13/113.01 (define @t16 () (exists @t15 @t14)) % 112.13/113.01 (define @t17 () (tptp.in @t10 @t2)) % 112.13/113.01 (define @t18 () (= @t17 @t16)) % 112.13/113.01 (define @t19 () (@list @t10)) % 112.13/113.01 (define @t20 () (forall @t19 @t18)) % 112.13/113.01 (define @t21 () (tptp.relation_rng @t1)) % 112.13/113.01 (define @t22 () (= @t2 @t21)) % 112.13/113.01 (define @t23 () (= @t22 @t20)) % 112.13/113.01 (define @t24 () (@list @t2)) % 112.13/113.01 (define @t25 () (forall @t24 @t23)) % 112.13/113.01 (define @t26 () (and @t8 @t5)) % 112.13/113.01 (define @t27 () (=> @t26 @t25)) % 112.13/113.01 (define @t28 () (forall @t7 @t27)) % 112.13/113.01 (define @t29 () (= @t2 @t10)) % 112.13/113.01 (define @t30 () (= (tptp.apply @t1 @t2) (tptp.apply @t1 @t10))) % 112.13/113.01 (define @t31 () (tptp.in @t10 @t12)) % 112.13/113.01 (define @t32 () (tptp.in @t2 @t12)) % 112.13/113.01 (define @t33 () (and @t32 @t31 @t30)) % 112.13/113.01 (define @t34 () (@list @t2 @t10)) % 112.13/113.01 (define @t35 () (forall @t34 (=> @t33 @t29))) % 112.13/113.01 (define @t36 () (tptp.one_to_one @t1)) % 112.13/113.01 (define @t37 () (= @t36 @t35)) % 112.13/113.01 (define @t38 () (=> @t26 @t37)) % 112.13/113.01 (define @t39 () (forall @t7 @t38)) % 112.13/113.01 (define @t40 () (tptp.relation_composition @t1 @t2)) % 112.13/113.01 (define @t41 () (tptp.relation @t40)) % 112.13/113.01 (define @t42 () (tptp.relation @t2)) % 112.13/113.01 (define @t43 () (tptp.identity_relation @t1)) % 112.13/113.01 (define @t44 () (tptp.relation @t43)) % 112.13/113.01 (define @t45 () (tptp.relation_composition @t2 @t1)) % 112.13/113.01 (define @t46 () (and @t6 @t42)) % 112.13/113.01 (define @t47 () (tptp.relation tptp.empty_set)) % 112.13/113.01 (define @t48 () (tptp.empty tptp.empty_set)) % 112.13/113.01 (define @t49 () (tptp.function @t2)) % 112.13/113.01 (define @t50 () (tptp.powerset @t1)) % 112.13/113.01 (define @t51 () (tptp.empty @t12)) % 112.13/113.01 (define @t52 () (not @t51)) % 112.13/113.01 (define @t53 () (not @t6)) % 112.13/113.01 (define @t54 () (and @t53 @t8)) % 112.13/113.01 (define @t55 () (forall @t7 (=> @t54 @t52))) % 112.13/113.01 (define @t56 () (tptp.empty @t21)) % 112.13/113.01 (define @t57 () (and @t51 (tptp.relation @t12))) % 112.13/113.01 (define @t58 () (forall @t7 (=> @t6 @t57))) % 112.13/113.01 (define @t59 () (tptp.empty @t2)) % 112.13/113.01 (define @t60 () (not @t59)) % 112.13/113.01 (define @t61 () (tptp.element @t2 @t50)) % 112.13/113.01 (define @t62 () (tptp.subset @t1 @t1)) % 112.13/113.01 (define @t63 () (forall @t4 @t62)) % 112.13/113.01 (define @t64 () (tptp.element @t1 @t2)) % 112.13/113.01 (define @t65 () (tptp.apply @t2 @t1)) % 112.13/113.01 (define @t66 () (= (tptp.apply (tptp.relation_composition @t2 @t10) @t1) (tptp.apply @t10 @t65))) % 112.13/113.01 (define @t67 () (tptp.relation_dom @t2)) % 112.13/113.01 (define @t68 () (tptp.in @t1 @t67)) % 112.13/113.01 (define @t69 () (=> @t68 @t66)) % 112.13/113.01 (define @t70 () (tptp.function @t10)) % 112.13/113.01 (define @t71 () (tptp.relation @t10)) % 112.13/113.01 (define @t72 () (and @t71 @t70)) % 112.13/113.01 (define @t73 () (forall @t19 (=> @t72 @t69))) % 112.13/113.01 (define @t74 () (and @t42 @t49)) % 112.13/113.01 (define @t75 () (=> @t74 @t73)) % 112.13/113.01 (define @t76 () (forall @t4 @t75)) % 112.13/113.01 (define @t77 () (or @t59 @t3)) % 112.13/113.01 (define @t78 () (forall @t4 (=> @t64 @t77))) % 112.13/113.01 (define @t79 () (tptp.apply @t2 @t10)) % 112.13/113.01 (define @t80 () (tptp.in @t10 @t1)) % 112.13/113.01 (define @t81 () (=> @t80 (= @t79 @t10))) % 112.13/113.01 (define @t82 () (forall @t19 @t81)) % 112.13/113.01 (define @t83 () (= @t67 @t1)) % 112.13/113.01 (define @t84 () (and @t83 @t82)) % 112.13/113.01 (define @t85 () (= @t2 @t43)) % 112.13/113.01 (define @t86 () (= @t85 @t84)) % 112.13/113.01 (define @t87 () (=> @t74 @t86)) % 112.13/113.01 (define @t88 () (forall @t4 @t87)) % 112.13/113.01 (define @t89 () (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 112.13/113.01 (define @t90 () (tptp.element @t1 @t10)) % 112.13/113.01 (define @t91 () (tptp.element @t2 (tptp.powerset @t10))) % 112.13/113.01 (define @t92 () (and @t3 @t91)) % 112.13/113.01 (define @t93 () (@list @t1 @t2 @t10)) % 112.13/113.01 (define @t94 () (forall @t93 (=> @t92 @t90))) % 112.13/113.01 (define @t95 () (= @t10 @t43)) % 112.13/113.01 (define @t96 () (tptp.relation_composition @t10 @t2)) % 112.13/113.01 (define @t97 () (tptp.one_to_one @t2)) % 112.13/113.01 (define @t98 () (tptp.subset (tptp.relation_rng @t10) @t1)) % 112.13/113.01 (define @t99 () (tptp.relation_dom @t10)) % 112.13/113.01 (define @t100 () (and @t83 (= @t99 @t1) @t98 @t97 (= @t96 @t2))) % 112.13/113.01 (define @t101 () (=> @t100 @t95)) % 112.13/113.01 (define @t102 () (=> @t72 @t101)) % 112.13/113.01 (define @t103 () (forall @t19 @t102)) % 112.13/113.01 (define @t104 () (=> @t74 @t103)) % 112.13/113.01 (define @t105 () (forall @t4 @t104)) % 112.13/113.01 (define @t106 () (not @t105)) % 112.13/113.01 (define @t107 () (tptp.empty @t10)) % 112.13/113.01 (define @t108 () (forall @t93 (not (and @t3 @t91 @t107)))) % 112.13/113.01 (define @t109 () (= @t1 tptp.empty_set)) % 112.13/113.01 (define @t110 () (forall @t7 (=> @t6 @t109))) % 112.13/113.01 (define @t111 () (= @t1 @t2)) % 112.13/113.01 (define @t112 () (not @t111)) % 112.13/113.01 (define @t113 () (forall @t4 (not (and @t6 @t112 @t59)))) % 112.13/113.01 (define @t114 () (tptp.identity_relation @t67)) % 112.13/113.01 (define @t115 () (@var "BOUND_VARIABLE_7885" $$unsorted)) % 112.13/113.01 (define @t116 () (= @t115 @t114)) % 112.13/113.01 (define @t117 () (not (= @t2 (tptp.relation_composition @t115 @t2)))) % 112.13/113.01 (define @t118 () (tptp.relation_rng @t115)) % 112.13/113.01 (define @t119 () (not (tptp.subset @t118 @t67))) % 112.13/113.01 (define @t120 () (tptp.relation_dom @t115)) % 112.13/113.01 (define @t121 () (not (= @t67 @t120))) % 112.13/113.01 (define @t122 () (not (tptp.function @t115))) % 112.13/113.01 (define @t123 () (not (tptp.relation @t115))) % 112.13/113.01 (define @t124 () (not @t97)) % 112.13/113.01 (define @t125 () (not @t49)) % 112.13/113.01 (define @t126 () (not @t42)) % 112.13/113.01 (define @t127 () (or @t126 @t125 @t124 @t123 @t122 @t121 @t119 @t117 @t116)) % 112.13/113.01 (define @t128 () (not (= @t67 @t67))) % 112.13/113.01 (define @t129 () (or @t126 @t125 @t128 @t124 @t123 @t122 @t121 @t119 @t117 (= @t114 @t115))) % 112.13/113.01 (define @t130 () (@list @t2 @t115)) % 112.13/113.01 (define @t131 () (= @t43 @t115)) % 112.13/113.01 (define @t132 () (not (tptp.subset @t118 @t1))) % 112.13/113.01 (define @t133 () (not (= @t1 @t120))) % 112.13/113.01 (define @t134 () (= @t1 @t67)) % 112.13/113.01 (define @t135 () (not @t134)) % 112.13/113.01 (define @t136 () (or @t135 @t126 @t125 @t135 @t124 @t123 @t122 @t133 @t132 @t117 @t131)) % 112.13/113.01 (define @t137 () (or @t126 @t125 @t135 @t124 @t123 @t122 @t133 @t132 @t117 @t131)) % 112.13/113.01 (define @t138 () (forall @t7 @t137)) % 112.13/113.01 (define @t139 () (forall @t130 @t138)) % 112.13/113.01 (define @t140 () (forall (@list @t2 @t115 @t1) @t137)) % 112.13/113.01 (define @t141 () (@list @t1 @t2 @t115)) % 112.13/113.01 (define @t142 () (= @t115 @t43)) % 112.13/113.01 (define @t143 () (or @t126 @t125 @t135 @t124 @t123 @t122 @t133 @t132 @t117 @t142)) % 112.13/113.01 (define @t144 () (or @t123 @t122 @t133 @t132 @t117 @t142)) % 112.13/113.01 (define @t145 () (or @t126 @t125 @t135 @t124 @t144)) % 112.13/113.01 (define @t146 () (forall @t141 @t145)) % 112.13/113.01 (define @t147 () (@list @t115)) % 112.13/113.01 (define @t148 () (forall @t147 @t145)) % 112.13/113.01 (define @t149 () (forall @t147 @t144)) % 112.13/113.01 (define @t150 () (@list @t10)) % 112.13/113.01 (define @t151 () (or @t126 @t125 @t135 @t124 @t149)) % 112.13/113.01 (define @t152 () (= @t2 @t96)) % 112.13/113.01 (define @t153 () (not @t152)) % 112.13/113.01 (define @t154 () (not @t98)) % 112.13/113.01 (define @t155 () (= @t1 @t99)) % 112.13/113.01 (define @t156 () (not @t155)) % 112.13/113.01 (define @t157 () (not @t70)) % 112.13/113.01 (define @t158 () (not @t71)) % 112.13/113.01 (define @t159 () (or @t158 @t157 @t156 @t154 @t153 @t95)) % 112.13/113.01 (define @t160 () (forall @t19 @t159)) % 112.13/113.01 (define @t161 () (or @t126 @t125 @t135 @t124 @t160)) % 112.13/113.01 (define @t162 () (or @t135 @t124 @t160)) % 112.13/113.01 (define @t163 () (or @t126 @t125)) % 112.13/113.01 (define @t164 () (not @t74)) % 112.13/113.01 (define @t165 () (or @t135 @t124 @t159)) % 112.13/113.01 (define @t166 () (or @t158 @t157 @t135 @t156 @t154 @t124 @t153 @t95)) % 112.13/113.01 (define @t167 () (or @t135 @t156 @t154 @t124 @t153 @t95)) % 112.13/113.01 (define @t168 () (or @t158 @t157)) % 112.13/113.01 (define @t169 () (or @t135 @t156 @t154 @t124 @t153)) % 112.13/113.01 (define @t170 () (and @t134 @t155 @t98 @t97 @t152)) % 112.13/113.01 (define @t171 () (=> @t170 @t95)) % 112.13/113.01 (define @t172 () (not @t72)) % 112.13/113.01 (define @t173 () (forall @t130 @t127)) % 112.13/113.01 (define @t174 () (@quantifiers_skolemize @t173 1)) % 112.13/113.01 (define @t175 () (tptp.relation_dom @t174)) % 112.13/113.01 (define @t176 () (@quantifiers_skolemize @t173 0)) % 112.13/113.01 (define @t177 () (tptp.relation_dom @t176)) % 112.13/113.01 (define @t178 () (= @t177 @t175)) % 112.13/113.01 (define @t179 () (= @t174 (tptp.identity_relation @t177))) % 112.13/113.01 (define @t180 () (tptp.relation_composition @t174 @t176)) % 112.13/113.01 (define @t181 () (= @t176 @t180)) % 112.13/113.01 (define @t182 () (not @t181)) % 112.13/113.01 (define @t183 () (tptp.relation_rng @t174)) % 112.13/113.01 (define @t184 () (tptp.subset @t183 @t177)) % 112.13/113.01 (define @t185 () (not @t184)) % 112.13/113.01 (define @t186 () (not @t178)) % 112.13/113.01 (define @t187 () (tptp.function @t174)) % 112.13/113.01 (define @t188 () (not @t187)) % 112.13/113.01 (define @t189 () (tptp.relation @t174)) % 112.13/113.01 (define @t190 () (not @t189)) % 112.13/113.01 (define @t191 () (tptp.one_to_one @t176)) % 112.13/113.01 (define @t192 () (not @t191)) % 112.13/113.01 (define @t193 () (tptp.function @t176)) % 112.13/113.01 (define @t194 () (not @t193)) % 112.13/113.01 (define @t195 () (tptp.relation @t176)) % 112.13/113.01 (define @t196 () (not @t195)) % 112.13/113.01 (define @t197 () (or @t196 @t194 @t192 @t190 @t188 @t186 @t185 @t182 @t179)) % 112.13/113.01 (define @t198 () (@list true)) % 112.13/113.01 (define @t199 () (@list @t197)) % 112.13/113.01 (define @t200 () (not @t112)) % 112.13/113.01 (define @t201 () (or @t53 @t200 @t60)) % 112.13/113.01 (define @t202 () (tptp.relation_dom tptp.empty_set)) % 112.13/113.01 (define @t203 () (tptp.empty @t202)) % 112.13/113.01 (define @t204 () (and @t203 (tptp.relation @t202))) % 112.13/113.01 (define @t205 () (not @t48)) % 112.13/113.01 (define @t206 () (or @t205 @t204)) % 112.13/113.01 (define @t207 () (@list false false)) % 112.13/113.01 (define @t208 () (@list false)) % 112.13/113.01 (define @t209 () (not @t203)) % 112.13/113.01 (define @t210 () (= tptp.empty_set @t202)) % 112.13/113.01 (define @t211 () (or @t205 @t210 @t209)) % 112.13/113.01 (define @t212 () (@list false false false)) % 112.13/113.01 (define @t213 () (tptp.empty @t174)) % 112.13/113.01 (define @t214 () (not @t213)) % 112.13/113.01 (define @t215 () (or @t214 (= @t174 tptp.empty_set))) % 112.13/113.01 (define @t216 () (forall @t7 (or @t53 @t109))) % 112.13/113.01 (define @t217 () (@list @t174)) % 112.13/113.01 (define @t218 () (= tptp.empty_set @t174)) % 112.13/113.01 (define @t219 () (or @t214 @t218)) % 112.13/113.01 (define @t220 () (@list @t216)) % 112.13/113.01 (define @t221 () (not @t8)) % 112.13/113.01 (define @t222 () (not @t64)) % 112.13/113.01 (define @t223 () (not (tptp.in @t10 @t177))) % 112.13/113.01 (define @t224 () (forall @t19 (or @t223 (= @t10 (tptp.apply @t174 @t10))))) % 112.13/113.01 (define @t225 () (@quantifiers_skolemize @t224 0)) % 112.13/113.01 (define @t226 () (tptp.apply @t174 @t225)) % 112.13/113.01 (define @t227 () (not @t91)) % 112.13/113.01 (define @t228 () (not @t3)) % 112.13/113.01 (define @t229 () (@var "BOUND_VARIABLE_7662" $$unsorted)) % 112.13/113.01 (define @t230 () (tptp.in @t10 @t229)) % 112.13/113.01 (define @t231 () (not (forall @t15 (or (not @t13) (not @t11))))) % 112.13/113.01 (define @t232 () (forall @t19 (= @t230 @t231))) % 112.13/113.01 (define @t233 () (= (= @t229 @t21) @t232)) % 112.13/113.01 (define @t234 () (not @t5)) % 112.13/113.01 (define @t235 () (or @t221 @t234 @t233)) % 112.13/113.01 (define @t236 () (@list @t1 @t229)) % 112.13/113.01 (define @t237 () (forall @t236 @t235)) % 112.13/113.01 (define @t238 () (@list @t229)) % 112.13/113.01 (define @t239 () (forall @t238 @t235)) % 112.13/113.01 (define @t240 () (forall @t238 @t233)) % 112.13/113.01 (define @t241 () (or @t221 @t234 @t240)) % 112.13/113.01 (define @t242 () (forall @t24 (= @t22 (forall @t19 (= @t17 @t231))))) % 112.13/113.01 (define @t243 () (or @t221 @t234 @t242)) % 112.13/113.01 (define @t244 () (or @t221 @t234)) % 112.13/113.01 (define @t245 () (not @t26)) % 112.13/113.01 (define @t246 () (forall @t15 (not @t14))) % 112.13/113.01 (define @t247 () (not @t246)) % 112.13/113.01 (define @t248 () (tptp.apply @t174 @t9)) % 112.13/113.01 (define @t249 () (not (tptp.in @t9 @t175))) % 112.13/113.01 (define @t250 () (forall @t19 (= (not (forall @t15 (or @t249 (not (= @t10 @t248))))) (tptp.in @t10 @t183)))) % 112.13/113.01 (define @t251 () (= (= @t183 @t183) @t250)) % 112.13/113.01 (define @t252 () (or @t190 @t188 @t251)) % 112.13/113.01 (define @t253 () (forall @t236 (or @t221 @t234 (= (= @t21 @t229) (forall @t19 (= @t231 @t230)))))) % 112.13/113.01 (define @t254 () (or @t190 @t188 @t250)) % 112.13/113.01 (define @t255 () (forall @t15 (or @t249 (not (= @t226 @t248))))) % 112.13/113.01 (define @t256 () (not @t255)) % 112.13/113.01 (define @t257 () (tptp.in @t226 @t183)) % 112.13/113.01 (define @t258 () (= @t256 @t257)) % 112.13/113.01 (define @t259 () (= @t257 @t256)) % 112.13/113.01 (define @t260 () (= @t10 @t79)) % 112.13/113.01 (define @t261 () (= @t85 (and @t134 (forall @t19 (or (not @t80) @t260))))) % 112.13/113.01 (define @t262 () (and @t178 @t224)) % 112.13/113.01 (define @t263 () (= @t179 @t262)) % 112.13/113.01 (define @t264 () (or @t190 @t188 @t263)) % 112.13/113.01 (define @t265 () (not @t262)) % 112.13/113.01 (define @t266 () (@list true false)) % 112.13/113.01 (define @t267 () (not @t224)) % 112.13/113.01 (define @t268 () (tptp.in @t225 @t177)) % 112.13/113.01 (define @t269 () (= @t225 @t226)) % 112.13/113.01 (define @t270 () (not @t268)) % 112.13/113.01 (define @t271 () (or @t270 @t269)) % 112.13/113.01 (define @t272 () (@list @t271)) % 112.13/113.01 (define @t273 () (tptp.in @t225 @t175)) % 112.13/113.01 (define @t274 () (not @t273)) % 112.13/113.01 (define @t275 () (not (= @t226 @t226))) % 112.13/113.01 (define @t276 () (or @t274 @t275)) % 112.13/113.01 (define @t277 () (not @t259)) % 112.13/113.01 (define @t278 () (tptp.powerset @t177)) % 112.13/113.01 (define @t279 () (tptp.element @t183 @t278)) % 112.13/113.01 (define @t280 () (= @t279 @t184)) % 112.13/113.01 (define @t281 () (= @t184 @t279)) % 112.13/113.01 (define @t282 () (tptp.element @t226 @t177)) % 112.13/113.01 (define @t283 () (not @t279)) % 112.13/113.01 (define @t284 () (not @t257)) % 112.13/113.01 (define @t285 () (or @t284 @t283 @t282)) % 112.13/113.01 (define @t286 () (not @t30)) % 112.13/113.01 (define @t287 () (not @t31)) % 112.13/113.01 (define @t288 () (not @t32)) % 112.13/113.01 (define @t289 () (or @t288 @t287 @t286 @t29)) % 112.13/113.01 (define @t290 () (= @t36 (forall @t34 @t289))) % 112.13/113.01 (define @t291 () (or @t288 @t287 @t286)) % 112.13/113.01 (define @t292 () (@list @t176)) % 112.13/113.01 (define @t293 () (forall @t34 (or (not (tptp.in @t2 @t177)) @t223 (not (= (tptp.apply @t176 @t2) (tptp.apply @t176 @t10))) @t29))) % 112.13/113.01 (define @t294 () (= @t191 @t293)) % 112.13/113.01 (define @t295 () (or @t196 @t194 @t294)) % 112.13/113.01 (define @t296 () (@var "BOUND_VARIABLE_7821" $$unsorted)) % 112.13/113.01 (define @t297 () (= (tptp.apply (tptp.relation_composition @t2 @t296) @t1) (tptp.apply @t296 @t65))) % 112.13/113.01 (define @t298 () (not (tptp.function @t296))) % 112.13/113.01 (define @t299 () (not (tptp.relation @t296))) % 112.13/113.01 (define @t300 () (not @t68)) % 112.13/113.01 (define @t301 () (or @t299 @t298 @t297)) % 112.13/113.01 (define @t302 () (or @t126 @t125 @t300 @t301)) % 112.13/113.01 (define @t303 () (forall (@list @t1 @t2 @t296) @t302)) % 112.13/113.01 (define @t304 () (@list @t296)) % 112.13/113.01 (define @t305 () (forall @t304 @t302)) % 112.13/113.01 (define @t306 () (forall @t304 @t301)) % 112.13/113.01 (define @t307 () (or @t126 @t125 @t300 @t306)) % 112.13/113.01 (define @t308 () (or @t158 @t157 @t66)) % 112.13/113.01 (define @t309 () (forall @t19 @t308)) % 112.13/113.01 (define @t310 () (or @t126 @t125 @t300 @t309)) % 112.13/113.01 (define @t311 () (or @t300 @t309)) % 112.13/113.01 (define @t312 () (or @t300 @t308)) % 112.13/113.01 (define @t313 () (or @t158 @t157 @t300 @t66)) % 112.13/113.01 (define @t314 () (tptp.apply @t176 @t226)) % 112.13/113.01 (define @t315 () (= (tptp.apply @t180 @t225) @t314)) % 112.13/113.01 (define @t316 () (or @t190 @t188 @t274 @t196 @t194 @t315)) % 112.13/113.01 (define @t317 () (tptp.apply @t176 @t225)) % 112.13/113.01 (define @t318 () (= @t317 @t314)) % 112.13/113.01 (define @t319 () (not @t318)) % 112.13/113.01 (define @t320 () (tptp.in @t226 @t177)) % 112.13/113.01 (define @t321 () (not @t320)) % 112.13/113.01 (define @t322 () (or @t270 @t321 @t319 @t269)) % 112.13/113.01 (define @t323 () (tptp.empty @t177)) % 112.13/113.01 (define @t324 () (not @t282)) % 112.13/113.01 (define @t325 () (or @t324 @t323 @t320)) % 112.13/113.01 (define @t326 () (tptp.empty @t175)) % 112.13/113.01 (define @t327 () (and @t178 @t323)) % 112.13/113.01 (define @t328 () (not @t326)) % 112.13/113.01 (define @t329 () (or @t213 @t190 @t328)) % 112.13/113.01 (define @t330 () (tptp.empty @t176)) % 112.13/113.01 (define @t331 () (not @t330)) % 112.13/113.01 (define @t332 () (or @t331 (= @t176 tptp.empty_set))) % 112.13/113.01 (define @t333 () (= tptp.empty_set @t176)) % 112.13/113.01 (define @t334 () (or @t331 @t333)) % 112.13/113.01 (define @t335 () (not @t323)) % 112.13/113.01 (define @t336 () (or @t330 @t196 @t335)) % 112.13/113.01 (define @t337 () (tptp.subset @t177 @t177)) % 112.13/113.01 (define @t338 () (tptp.subset @t177 @t176)) % 112.13/113.01 (define @t339 () (and @t178 @t333 @t210 @t218 @t337)) % 112.13/113.01 (define @t340 () (not @t333)) % 112.13/113.01 (define @t341 () (not @t218)) % 112.13/113.01 (define @t342 () (not @t210)) % 112.13/113.01 (define @t343 () (tptp.powerset @t176)) % 112.13/113.01 (define @t344 () (tptp.element @t177 @t343)) % 112.13/113.01 (define @t345 () (= @t344 @t338)) % 112.13/113.01 (define @t346 () (not @t107)) % 112.13/113.01 (define @t347 () (tptp.element @t177 (tptp.powerset tptp.empty_set))) % 112.13/113.01 (define @t348 () (not @t347)) % 112.13/113.01 (define @t349 () (or @t270 @t348 @t205)) % 112.13/113.01 (define @t350 () (not @t344)) % 112.13/113.01 (define @t351 () (and @t348 @t218 @t210 @t178 @t333 @t344)) % 112.13/113.01 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 112.13/113.01 (assume @p2 (forall @t7 (=> @t6 @t5))) % 112.13/113.01 (assume @p3 (forall @t7 (=> @t6 @t8))) % 112.13/113.01 (assume @p4 @t28) % 112.13/113.01 (assume @p5 @t39) % 112.13/113.01 (assume @p6 (forall @t4 (=> (and @t8 @t42) @t41))) % 112.13/113.01 (assume @p7 (forall @t7 @t44)) % 112.13/113.01 (assume @p8 (forall @t7 (exists @t24 (tptp.element @t2 @t1)))) % 112.13/113.01 (assume @p9 (forall @t4 (=> @t46 (and (tptp.empty @t45) (tptp.relation @t45))))) % 112.13/113.01 (assume @p10 (and @t48 @t47 (tptp.relation_empty_yielding tptp.empty_set))) % 112.13/113.01 (assume @p11 (forall @t4 (=> (and @t8 @t5 @t42 @t49) (and @t41 (tptp.function @t40))))) % 112.13/113.01 (assume @p12 (forall @t7 (not (tptp.empty @t50)))) % 112.13/113.01 (assume @p13 @t48) % 112.13/113.01 (assume @p14 (forall @t7 (and @t44 (tptp.function @t43)))) % 112.13/113.01 (assume @p15 (and @t48 @t47)) % 112.13/113.01 (assume @p16 @t55) % 112.13/113.01 (assume @p17 (forall @t7 (=> @t54 (not @t56)))) % 112.13/113.01 (assume @p18 @t58) % 112.13/113.01 (assume @p19 (forall @t7 (=> @t6 (and @t56 (tptp.relation @t21))))) % 112.13/113.01 (assume @p20 (forall @t4 (=> @t46 (and (tptp.empty @t40) @t41)))) % 112.13/113.01 (assume @p21 (exists @t7 @t26)) % 112.13/113.01 (assume @p22 (exists @t7 (and @t6 @t8))) % 112.13/113.01 (assume @p23 (forall @t7 (=> @t53 (exists @t24 (and @t61 @t60))))) % 112.13/113.01 (assume @p24 (exists @t7 @t6)) % 112.13/113.01 (assume @p25 (exists @t7 @t54)) % 112.13/113.01 (assume @p26 (forall @t7 (exists @t24 (and @t61 @t59)))) % 112.13/113.01 (assume @p27 (exists @t7 @t53)) % 112.13/113.01 (assume @p28 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 112.13/113.01 (assume @p29 @t63) % 112.13/113.01 (assume @p30 (forall @t4 (=> @t3 @t64))) % 112.13/113.01 (assume @p31 @t76) % 112.13/113.01 (assume @p32 @t78) % 112.13/113.01 (assume @p33 @t88) % 112.13/113.01 (assume @p34 @t89) % 112.13/113.01 (assume @p35 @t94) % 112.13/113.01 (assume @p36 @t106) % 112.13/113.01 (assume @p37 @t108) % 112.13/113.01 (assume @p38 @t110) % 112.13/113.01 (assume @p39 (forall @t4 (not (and @t3 @t59)))) % 112.13/113.01 (assume @p40 @t113) % 112.13/113.01 (assume @p41 true) % 112.13/113.01 (step @p42 :rule aci_norm :args ((= (or @t126 @t125 false @t124 @t123 @t122 @t121 @t119 @t117 @t116) @t127))) % 112.13/113.01 (step @p43 :rule eq-symm :args (@t114 @t115)) % 112.13/113.01 (step @p44 :rule refl :args (@t117)) % 112.13/113.01 (step @p45 :rule refl :args (@t119)) % 112.13/113.01 (step @p46 :rule refl :args (@t121)) % 112.13/113.01 (step @p47 :rule refl :args (@t122)) % 112.13/113.01 (step @p48 :rule refl :args (@t123)) % 112.13/113.01 (step @p49 :rule refl :args (@t124)) % 112.13/113.01 (step @p50 :rule evaluate :args ((not true))) % 112.13/113.01 (step @p51 :rule eq-refl :args (@t67)) % 112.13/113.01 (step @p52 :rule cong :premises (@p51) :args (@t128)) % 112.13/113.01 (step @p53 :rule trans :premises (@p52 @p50)) % 112.13/113.01 (step @p54 :rule refl :args (@t125)) % 112.13/113.01 (step @p55 :rule refl :args (@t126)) % 112.13/113.01 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53 @p49 @p48 @p47 @p46 @p45 @p44 @p43) :args (@t129)) % 112.13/113.01 (step @p57 :rule trans :premises (@p56 @p42)) % 112.13/113.01 (step @p58 :rule cong :premises (@p57) :args ((forall @t130 @t129))) % 112.13/113.01 (step @p59 :rule quant-var-elim-eq :args ((= (forall @t7 @t136) @t129))) % 112.13/113.01 (step @p60 :rule aci_norm :args ((= @t137 @t136))) % 112.13/113.01 (step @p61 :rule cong :premises (@p60) :args (@t138)) % 112.13/113.01 (step @p62 :rule trans :premises (@p61 @p59)) % 112.13/113.01 (step @p63 :rule cong :premises (@p62) :args (@t139)) % 112.13/113.01 (step @p64 :rule quant-merge-prenex :args ((= @t139 @t140))) % 112.13/113.01 (step @p65 :rule symm :premises (@p64)) % 112.13/113.01 (step @p66 :rule quant_var_reordering :args ((= (forall @t141 @t137) @t140))) % 112.13/113.01 (step @p67 :rule trans :premises (@p66 @p65 @p63)) % 112.13/113.01 (step @p68 :rule trans :premises (@p67 @p58)) % 112.13/113.01 (step @p69 :rule eq-symm :args (@t115 @t43)) % 112.13/113.01 (step @p70 :rule refl :args (@t132)) % 112.13/113.01 (step @p71 :rule refl :args (@t133)) % 112.13/113.01 (step @p72 :rule refl :args (@t135)) % 112.13/113.01 (step @p73 :rule nary_cong :premises (@p55 @p54 @p72 @p49 @p48 @p47 @p71 @p70 @p44 @p69) :args (@t143)) % 112.13/113.01 (step @p74 :rule aci_norm :args ((= @t145 @t143))) % 112.13/113.01 (step @p75 :rule trans :premises (@p74 @p73)) % 112.13/113.01 (step @p76 :rule cong :premises (@p75) :args (@t146)) % 112.13/113.01 (step @p77 :rule trans :premises (@p76 @p68)) % 112.13/113.01 (step @p78 :rule quant-merge-prenex :args ((= (forall @t4 @t148) @t146))) % 112.13/113.01 (step @p79 :rule alpha_equiv :args (@t149 (@list @t115) @t150)) % 112.13/113.01 (step @p80 :rule refl :args (@t124)) % 112.13/113.01 (step @p81 :rule refl :args (@t135)) % 112.13/113.01 (step @p82 :rule refl :args (@t125)) % 112.13/113.01 (step @p83 :rule refl :args (@t126)) % 112.13/113.01 (step @p84 :rule nary_cong :premises (@p83 @p82 @p81 @p80 @p79) :args (@t151)) % 112.13/113.01 (step @p85 :rule quant-miniscope-or :args ((= @t148 @t151))) % 112.13/113.01 (step @p86 :rule trans :premises (@p85 @p84)) % 112.13/113.01 (step @p87 :rule symm :premises (@p86)) % 112.13/113.01 (step @p88 :rule cong :premises (@p87) :args ((forall @t4 @t161))) % 112.13/113.01 (step @p89 :rule trans :premises (@p88 @p78)) % 112.13/113.01 (step @p90 :rule trans :premises (@p89 @p77)) % 112.13/113.01 (step @p91 :rule aci_norm :args ((= (or @t163 @t162) @t161))) % 112.13/113.01 (step @p92 :rule refl :args (@t162)) % 112.13/113.01 (step @p93 :rule bool-and-de-morgan :args (@t42 @t49 true)) % 112.13/113.01 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t164 @t162))) % 112.13/113.01 (step @p95 :rule trans :premises (@p94 @p91)) % 112.13/113.01 (step @p96 :rule bool-impl-elim :args (@t74 @t162)) % 112.13/113.01 (step @p97 :rule trans :premises (@p96 @p95)) % 112.13/113.01 (step @p98 :rule cong :premises (@p97) :args ((forall @t4 (=> @t74 @t162)))) % 112.13/113.01 (step @p99 :rule trans :premises (@p98 @p90)) % 112.13/113.01 (step @p100 :rule quant-miniscope-or :args ((= (forall @t19 @t165) @t162))) % 112.13/113.01 (step @p101 :rule aci_norm :args ((= @t166 @t165))) % 112.13/113.01 (step @p102 :rule cong :premises (@p101) :args ((forall @t19 @t166))) % 112.13/113.01 (step @p103 :rule trans :premises (@p102 @p100)) % 112.13/113.01 (step @p104 :rule aci_norm :args ((= (or @t168 @t167) @t166))) % 112.13/113.01 (step @p105 :rule aci_norm :args ((= (or @t169 @t95) @t167))) % 112.13/113.01 (step @p106 :rule refl :args (@t95)) % 112.13/113.01 (step @p107 :rule aci_norm :args ((= (or @t135 (or @t156 (or @t154 (or @t124 @t153)))) @t169))) % 112.13/113.01 (step @p108 :rule bool-and-de-morgan :args (@t97 @t152 true)) % 112.13/113.01 (step @p109 :rule refl :args (@t154)) % 112.13/113.01 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t154 (not (and @t97 @t152))))) % 112.13/113.01 (step @p111 :rule bool-and-de-morgan :args (@t98 @t97 (and @t152))) % 112.13/113.01 (step @p112 :rule trans :premises (@p111 @p110)) % 112.13/113.01 (step @p113 :rule refl :args (@t156)) % 112.13/113.01 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t156 (not (and @t98 @t97 @t152))))) % 112.13/113.01 (step @p115 :rule bool-and-de-morgan :args (@t155 @t98 (and @t97 @t152))) % 112.13/113.01 (step @p116 :rule trans :premises (@p115 @p114)) % 112.13/113.01 (step @p117 :rule nary_cong :premises (@p81 @p116) :args ((or @t135 (not (and @t155 @t98 @t97 @t152))))) % 112.13/113.01 (step @p118 :rule bool-and-de-morgan :args (@t134 @t155 (and @t98 @t97 @t152))) % 112.13/113.01 (step @p119 :rule trans :premises (@p118 @p117)) % 112.13/113.01 (step @p120 :rule trans :premises (@p119 @p107)) % 112.13/113.01 (step @p121 :rule nary_cong :premises (@p120 @p106) :args ((or (not @t170) @t95))) % 112.13/113.01 (step @p122 :rule trans :premises (@p121 @p105)) % 112.13/113.01 (step @p123 :rule bool-impl-elim :args (@t170 @t95)) % 112.13/113.01 (step @p124 :rule trans :premises (@p123 @p122)) % 112.13/113.01 (step @p125 :rule bool-and-de-morgan :args (@t71 @t70 true)) % 112.13/113.01 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t172 @t171))) % 112.13/113.01 (step @p127 :rule trans :premises (@p126 @p104)) % 112.13/113.01 (step @p128 :rule bool-impl-elim :args (@t72 @t171)) % 112.13/113.01 (step @p129 :rule trans :premises (@p128 @p127)) % 112.13/113.01 (step @p130 :rule cong :premises (@p129) :args ((forall @t19 (=> @t72 @t171)))) % 112.13/113.01 (step @p131 :rule trans :premises (@p130 @p103)) % 112.13/113.01 (step @p132 :rule refl :args (@t95)) % 112.13/113.01 (step @p133 :rule eq-symm :args (@t96 @t2)) % 112.13/113.01 (step @p134 :rule refl :args (@t97)) % 112.13/113.01 (step @p135 :rule refl :args (@t98)) % 112.13/113.01 (step @p136 :rule eq-symm :args (@t99 @t1)) % 112.13/113.01 (step @p137 :rule eq-symm :args (@t67 @t1)) % 112.13/113.01 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135 @p134 @p133) :args (@t100)) % 112.13/113.01 (step @p139 :rule cong :premises (@p138 @p132) :args (@t101)) % 112.13/113.01 (step @p140 :rule refl :args (@t72)) % 112.13/113.01 (step @p141 :rule cong :premises (@p140 @p139) :args (@t102)) % 112.13/113.01 (step @p142 :rule cong :premises (@p141) :args (@t103)) % 112.13/113.01 (step @p143 :rule trans :premises (@p142 @p131)) % 112.13/113.01 (step @p144 :rule refl :args (@t74)) % 112.13/113.01 (step @p145 :rule cong :premises (@p144 @p143) :args (@t104)) % 112.13/113.01 (step @p146 :rule cong :premises (@p145) :args (@t105)) % 112.13/113.01 (step @p147 :rule trans :premises (@p146 @p99)) % 112.13/113.01 (step @p148 :rule cong :premises (@p147) :args (@t106)) % 112.13/113.01 (step @p149 :rule eq_resolve :premises (@p36 @p148)) % 112.13/113.01 (step @p150 :rule skolemize :premises (@p149)) % 112.13/113.01 (step @p151 :rule bool-double-not-elim :args (@t178)) % 112.13/113.01 (step @p152 :rule refl :args (@t197)) % 112.13/113.01 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or @t197 (not @t186)))) % 112.13/113.01 (step @p154 :rule cnf_or_neg :args (@t197 5)) % 112.13/113.01 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 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(step @p566 :rule eq_resolve :premises (@p29 @p565)) % 112.13/113.01 (step @p567 :rule instantiate :premises (@p566) :args ((@list @t177))) % 112.13/113.01 (assume-push @p704 @t178) % 112.13/113.01 (assume-push @p705 @t333) % 112.13/113.01 (assume-push @p706 @t210) % 112.13/113.01 (assume-push @p707 @t218) % 112.13/113.01 (assume-push @p708 @t337) % 112.13/113.01 (assume-push @p709 @t337) % 112.13/113.01 (assume-push @p710 @t178) % 112.13/113.01 (assume-push @p711 @t218) % 112.13/113.01 (assume-push @p712 @t210) % 112.13/113.01 (assume-push @p713 @t333) % 112.13/113.01 (step @p578 :rule true_intro :premises (@p567)) % 112.13/113.01 (step @p579 :rule cong :premises (@p707) :args (@t202)) % 112.13/113.01 (step @p580 :rule symm :premises (@p707)) % 112.13/113.01 (step @p581 :rule trans :premises (@p580 @p185 @p579 @p359)) % 112.13/113.01 (step @p582 :rule refl :args (@t177)) % 112.13/113.01 (step @p583 :rule cong :premises (@p582 @p581) :args ((tptp.subset @t177 @t174))) % 112.13/113.01 (step @p584 :rule symm :premises (@p705)) % 112.13/113.01 (step @p585 :rule trans :premises (@p584 @p707)) % 112.13/113.01 (step @p586 :rule cong :premises (@p582 @p585) :args (@t338)) % 112.13/113.01 (step @p587 :rule trans :premises (@p586 @p583 @p578)) % 112.13/113.01 (step @p588 :rule true_elim :premises (@p587)) % 112.13/113.01 (step-pop @p714 :rule scope :premises (@p588)) % 112.13/113.01 (step-pop @p715 :rule scope :premises (@p714)) % 112.13/113.01 (step-pop @p716 :rule scope :premises (@p715)) % 112.13/113.01 (step-pop @p717 :rule scope :premises (@p716)) % 112.13/113.01 (step-pop @p718 :rule scope :premises (@p717)) % 112.13/113.01 (step @p589 :rule process_scope :premises (@p718) :args (@t338)) % 112.13/113.01 (step @p595 :rule and_intro :premises (@p567 @p157 @p707 @p185 @p705)) % 112.13/113.01 (step @p596 :rule modus_ponens :premises (@p595 @p589)) % 112.13/113.01 (step-pop @p719 :rule scope :premises (@p596)) % 112.13/113.01 (step-pop @p720 :rule scope :premises (@p719)) % 112.13/113.01 (step-pop @p721 :rule scope :premises (@p720)) % 112.13/113.01 (step-pop @p722 :rule scope :premises (@p721)) % 112.13/113.01 (step-pop @p723 :rule scope :premises (@p722)) % 112.13/113.01 (step @p597 :rule process_scope :premises (@p723) :args (@t338)) % 112.13/113.01 (step @p603 :rule implies_elim :premises (@p597)) % 112.13/113.01 (step @p604 :rule cnf_and_neg :args (@t339)) % 112.13/113.01 (step @p605 :rule resolution :premises (@p604 @p603) :args (true @t339)) % 112.13/113.01 (step @p606 :rule reordering :premises (@p605) :args ((or @t186 @t342 @t338 @t341 @t340 (not @t337)))) % 112.13/113.01 (step @p607 :rule chain_m_resolution :premises (@p606 @p157 @p185 @p545 @p563 @p567) :args (@t338 (@list false false false false false) (@list @t178 @t210 @t218 @t333 @t337))) % 112.13/113.01 (step @p608 :rule cnf_equiv_pos2 :args (@t345)) % 112.13/113.01 (step @p609 :rule reordering :premises (@p608) :args ((or @t344 (not @t338) (not @t345)))) % 112.13/113.01 (step @p610 :rule chain_m_resolution :premises (@p609 @p607 @p564) :args (@t344 @t207 (@list @t338 @t345))) % 112.13/113.01 (step @p611 :rule aci_norm :args ((= (or @t228 (or @t227 @t346)) (or @t228 @t227 @t346)))) % 112.13/113.01 (step @p612 :rule bool-and-de-morgan :args (@t91 @t107 true)) % 112.13/113.01 (step @p613 :rule refl :args (@t228)) % 112.13/113.01 (step @p614 :rule nary_cong :premises (@p613 @p612) :args ((or @t228 (not (and @t91 @t107))))) % 112.13/113.01 (step @p615 :rule bool-and-de-morgan :args (@t3 @t91 (and @t107))) % 112.13/113.01 (step @p616 :rule trans :premises (@p615 @p614)) % 112.13/113.01 (step @p617 :rule trans :premises (@p616 @p611)) % 112.13/113.01 (step @p618 :rule cong :premises (@p617) :args (@t108)) % 112.13/113.01 (step @p619 :rule eq_resolve :premises (@p37 @p618)) % 112.13/113.01 (step @p620 :rule instantiate :premises (@p619) :args ((@list @t225 @t177 tptp.empty_set))) % 112.13/113.01 (step @p621 :rule cnf_or_pos :args (@t349)) % 112.13/113.01 (step @p622 :rule reordering :premises (@p621) :args ((or @t205 @t270 @t348 (not @t349)))) % 112.13/113.01 (step @p623 :rule chain_m_resolution :premises (@p622 @p176 @p357 @p620) :args (@t348 @t212 (@list @t48 @t268 @t349))) % 112.13/113.01 (step @p624 :rule bool-double-not-elim :args (@t347)) % 112.13/113.01 (step @p625 :rule refl :args (@t341)) % 112.13/113.01 (step @p626 :rule refl :args (@t350)) % 112.13/113.01 (step @p627 :rule refl :args (@t342)) % 112.13/113.01 (step @p628 :rule refl :args (@t340)) % 112.13/113.01 (step @p629 :rule refl :args (@t186)) % 112.13/113.01 (step @p630 :rule nary_cong :premises (@p629 @p628 @p627 @p626 @p625 @p624) :args ((or @t186 @t340 @t342 @t350 @t341 (not @t348)))) % 112.13/113.01 (assume-push @p724 @t348) % 112.13/113.01 (assume-push @p725 @t218) % 112.13/113.01 (assume-push @p726 @t210) % 112.13/113.01 (assume-push @p727 @t178) % 112.13/113.01 (assume-push @p728 @t333) % 112.13/113.01 (assume-push @p729 @t344) % 112.13/113.01 (step @p637 :rule evaluate :args ((= true false))) % 112.13/113.01 (step @p638 :rule false_intro :premises (@p623)) % 112.13/113.01 (step @p639 :rule symm :premises (@p725)) % 112.13/113.01 (step @p640 :rule cong :premises (@p639) :args ((tptp.powerset @t174))) % 112.13/113.01 (step @p641 :rule symm :premises (@p185)) % 112.13/113.01 (step @p642 :rule cong :premises (@p639) :args (@t175)) % 112.13/113.01 (step @p643 :rule trans :premises (@p157 @p642 @p641 @p725)) % 112.13/113.01 (step @p644 :rule cong :premises (@p643) :args (@t278)) % 112.13/113.01 (step @p645 :rule trans :premises (@p644 @p640)) % 112.13/113.01 (step @p582 :rule refl :args (@t177)) % 112.13/113.01 (step @p646 :rule cong :premises (@p582 @p645) :args ((tptp.element @t177 @t278))) % 112.13/113.01 (step @p647 :rule symm :premises (@p644)) % 112.13/113.01 (step @p648 :rule symm :premises (@p728)) % 112.13/113.01 (step @p649 :rule trans :premises (@p648 @p725)) % 112.13/113.01 (step @p650 :rule cong :premises (@p649) :args (@t343)) % 112.13/113.01 (step @p651 :rule trans :premises (@p650 @p647)) % 112.13/113.01 (step @p652 :rule cong :premises (@p582 @p651) :args (@t344)) % 112.13/113.01 (step @p653 :rule true_intro :premises (@p729)) % 112.13/113.01 (step @p654 :rule symm :premises (@p653)) % 112.13/113.01 (step @p655 :rule trans :premises (@p654 @p652 @p646 @p638)) % 112.13/113.01 (step @p656 false :rule eq_resolve :premises (@p655 @p637)) % 112.13/113.01 (step-pop @p730 :rule scope :premises (@p656)) % 112.13/113.01 (step-pop @p731 :rule scope :premises (@p730)) % 112.13/113.01 (step-pop @p732 :rule scope :premises (@p731)) % 112.13/113.01 (step-pop @p733 :rule scope :premises (@p732)) % 112.13/113.01 (step-pop @p734 :rule scope :premises (@p733)) % 112.13/113.01 (step-pop @p735 :rule scope :premises (@p734)) % 112.13/113.01 (step @p657 :rule process_scope :premises (@p735) :args (false)) % 112.13/113.01 (assume-push @p736 @t178) % 112.13/113.01 (assume-push @p737 @t333) % 112.13/113.01 (assume-push @p738 @t210) % 112.13/113.01 (assume-push @p739 @t344) % 112.13/113.01 (assume-push @p740 @t218) % 112.13/113.01 (assume-push @p741 @t348) % 112.13/113.01 (step @p670 :rule and_intro :premises (@p623 @p740 @p185 @p157 @p737 @p739)) % 112.13/113.01 (step-pop @p742 :rule scope :premises (@p670)) % 112.13/113.01 (step-pop @p743 :rule scope :premises (@p742)) % 112.13/113.01 (step-pop @p744 :rule scope :premises (@p743)) % 112.13/113.01 (step-pop @p745 :rule scope :premises (@p744)) % 112.13/113.01 (step-pop @p746 :rule scope :premises (@p745)) % 112.13/113.01 (step-pop @p747 :rule scope :premises (@p746)) % 112.13/113.01 (step @p671 :rule process_scope :premises (@p747) :args (@t351)) % 112.13/113.01 (step @p678 :rule implies_elim :premises (@p671)) % 112.13/113.01 (step @p679 :rule resolution :premises (@p678 @p657) :args (true @t351)) % 112.13/113.01 (step @p680 :rule not_and :premises (@p679)) % 112.13/113.01 (step @p681 :rule eq_resolve :premises (@p680 @p630)) % 112.13/113.01 (step @p682 :rule reordering :premises (@p681) :args ((or @t186 @t342 @t350 @t341 @t340 @t347))) % 112.13/113.01 (step @p683 false :rule chain_m_resolution :premises (@p682 @p623 @p610 @p563 @p545 @p185 @p157) :args (false (@list true false false false false false) (@list @t347 @t344 @t333 @t218 @t210 @t178))) % 112.13/113.01 ) % 112.13/113.01 % SZS output end Proof % 112.13/113.01 % cvc5 exiting %------------------------------------------------------------------------------