%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM401+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:39:18 AM UTC 2026 % Result : Theorem 33.89s 34.22s % Output : Proof 33.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM401+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n018.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 11:16:20 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 33.89/34.22 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.89/34.22 --- Run --no-e-matching --full-saturate-quant at 6... % 33.89/34.22 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.89/34.22 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.89/34.22 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.89/34.22 % SZS status Theorem % 33.89/34.22 % SZS output start Proof % 33.89/34.22 ( % 33.89/34.22 (declare-sort $$unsorted 0) % 33.89/34.22 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 33.89/34.22 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 33.89/34.22 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 33.89/34.22 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 33.89/34.22 (declare-const tptp.function (-> $$unsorted Bool)) % 33.89/34.22 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 33.89/34.22 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.89/34.22 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 33.89/34.22 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 33.89/34.22 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 33.89/34.22 (declare-const tptp.empty_set $$unsorted) % 33.89/34.22 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.22 (declare-const tptp.relation (-> $$unsorted Bool)) % 33.89/34.22 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.89/34.22 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 33.89/34.22 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 33.89/34.22 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.89/34.22 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 33.89/34.22 (define @t1 () (@var "A" $$unsorted)) % 33.89/34.22 (define @t2 () (@var "B" $$unsorted)) % 33.89/34.22 (define @t3 () (tptp.in @t2 @t1)) % 33.89/34.22 (define @t4 () (not @t3)) % 33.89/34.22 (define @t5 () (tptp.in @t1 @t2)) % 33.89/34.22 (define @t6 () (@list @t1 @t2)) % 33.89/34.22 (define @t7 () (forall @t6 (=> @t5 @t4))) % 33.89/34.22 (define @t8 () (tptp.function @t1)) % 33.89/34.22 (define @t9 () (tptp.empty @t1)) % 33.89/34.22 (define @t10 () (@list @t1)) % 33.89/34.22 (define @t11 () (tptp.epsilon_connected @t1)) % 33.89/34.22 (define @t12 () (tptp.epsilon_transitive @t1)) % 33.89/34.22 (define @t13 () (and @t12 @t11)) % 33.89/34.22 (define @t14 () (tptp.ordinal @t1)) % 33.89/34.22 (define @t15 () (forall @t10 (=> @t14 @t13))) % 33.89/34.22 (define @t16 () (tptp.relation @t1)) % 33.89/34.22 (define @t17 () (tptp.one_to_one @t1)) % 33.89/34.22 (define @t18 () (and @t16 @t8 @t17)) % 33.89/34.22 (define @t19 () (and @t16 @t9 @t8)) % 33.89/34.22 (define @t20 () (and @t12 @t11 @t14)) % 33.89/34.22 (define @t21 () (tptp.set_union2 @t2 @t1)) % 33.89/34.22 (define @t22 () (tptp.set_union2 @t1 @t2)) % 33.89/34.22 (define @t23 () (tptp.ordinal_subset @t2 @t1)) % 33.89/34.22 (define @t24 () (tptp.ordinal_subset @t1 @t2)) % 33.89/34.22 (define @t25 () (or @t24 @t23)) % 33.89/34.22 (define @t26 () (tptp.ordinal @t2)) % 33.89/34.22 (define @t27 () (and @t14 @t26)) % 33.89/34.22 (define @t28 () (forall @t6 (=> @t27 @t25))) % 33.89/34.22 (define @t29 () (tptp.subset @t2 @t1)) % 33.89/34.22 (define @t30 () (tptp.subset @t1 @t2)) % 33.89/34.22 (define @t31 () (= @t1 @t2)) % 33.89/34.22 (define @t32 () (tptp.singleton @t1)) % 33.89/34.22 (define @t33 () (tptp.succ @t1)) % 33.89/34.22 (define @t34 () (@var "C" $$unsorted)) % 33.89/34.22 (define @t35 () (tptp.in @t34 @t2)) % 33.89/34.22 (define @t36 () (= @t35 (= @t34 @t1))) % 33.89/34.22 (define @t37 () (@list @t34)) % 33.89/34.22 (define @t38 () (forall @t37 @t36)) % 33.89/34.22 (define @t39 () (= @t2 @t32)) % 33.89/34.22 (define @t40 () (= @t39 @t38)) % 33.89/34.22 (define @t41 () (forall @t6 @t40)) % 33.89/34.22 (define @t42 () (@list @t2)) % 33.89/34.22 (define @t43 () (forall @t42 (=> @t3 @t29))) % 33.89/34.22 (define @t44 () (= @t12 @t43)) % 33.89/34.22 (define @t45 () (forall @t10 @t44)) % 33.89/34.22 (define @t46 () (@var "D" $$unsorted)) % 33.89/34.22 (define @t47 () (@list @t46)) % 33.89/34.22 (define @t48 () (forall @t47 (= (tptp.in @t46 @t34) (or (tptp.in @t46 @t1) (tptp.in @t46 @t2))))) % 33.89/34.22 (define @t49 () (= (= @t34 @t22) @t48)) % 33.89/34.22 (define @t50 () (@list @t1 @t2 @t34)) % 33.89/34.22 (define @t51 () (forall @t50 @t49)) % 33.89/34.22 (define @t52 () (tptp.relation_empty_yielding tptp.empty_set)) % 33.89/34.22 (define @t53 () (tptp.relation tptp.empty_set)) % 33.89/34.22 (define @t54 () (tptp.empty tptp.empty_set)) % 33.89/34.22 (define @t55 () (not (tptp.empty @t33))) % 33.89/34.22 (define @t56 () (tptp.ordinal tptp.empty_set)) % 33.89/34.22 (define @t57 () (not @t9)) % 33.89/34.22 (define @t58 () (and @t55 (tptp.epsilon_transitive @t33) (tptp.epsilon_connected @t33) (tptp.ordinal @t33))) % 33.89/34.22 (define @t59 () (forall @t10 (=> @t14 @t58))) % 33.89/34.22 (define @t60 () (tptp.relation_empty_yielding @t1)) % 33.89/34.22 (define @t61 () (= @t24 @t30)) % 33.89/34.22 (define @t62 () (forall @t6 (=> @t27 @t61))) % 33.89/34.22 (define @t63 () (tptp.element @t1 @t2)) % 33.89/34.22 (define @t64 () (not @t31)) % 33.89/34.22 (define @t65 () (not @t5)) % 33.89/34.22 (define @t66 () (not (and @t65 @t64 @t4))) % 33.89/34.22 (define @t67 () (forall @t42 (=> @t26 @t66))) % 33.89/34.22 (define @t68 () (=> @t14 @t67)) % 33.89/34.22 (define @t69 () (forall @t10 @t68)) % 33.89/34.22 (define @t70 () (tptp.empty @t2)) % 33.89/34.22 (define @t71 () (or @t70 @t5)) % 33.89/34.22 (define @t72 () (forall @t6 (=> @t63 @t71))) % 33.89/34.22 (define @t73 () (tptp.in @t1 (tptp.succ @t2))) % 33.89/34.22 (define @t74 () (=> @t26 (= @t73 @t24))) % 33.89/34.22 (define @t75 () (forall @t42 @t74)) % 33.89/34.22 (define @t76 () (=> @t14 @t75)) % 33.89/34.22 (define @t77 () (forall @t10 @t76)) % 33.89/34.22 (define @t78 () (not @t77)) % 33.89/34.22 (define @t79 () (tptp.element @t1 (tptp.powerset @t2))) % 33.89/34.22 (define @t80 () (forall @t6 (= @t79 @t30))) % 33.89/34.22 (define @t81 () (tptp.element @t1 @t34)) % 33.89/34.22 (define @t82 () (tptp.element @t2 (tptp.powerset @t34))) % 33.89/34.22 (define @t83 () (and @t5 @t82)) % 33.89/34.22 (define @t84 () (forall @t50 (=> @t83 @t81))) % 33.89/34.22 (define @t85 () (tptp.empty @t34)) % 33.89/34.22 (define @t86 () (forall @t50 (not (and @t5 @t82 @t85)))) % 33.89/34.22 (define @t87 () (@var "BOUND_VARIABLE_7853" $$unsorted)) % 33.89/34.22 (define @t88 () (= (tptp.ordinal_subset @t1 @t87) (tptp.in @t1 (tptp.succ @t87)))) % 33.89/34.22 (define @t89 () (not (tptp.ordinal @t87))) % 33.89/34.22 (define @t90 () (not @t14)) % 33.89/34.22 (define @t91 () (or @t90 @t89 @t88)) % 33.89/34.22 (define @t92 () (@list @t1 @t87)) % 33.89/34.22 (define @t93 () (forall @t92 @t91)) % 33.89/34.22 (define @t94 () (@quantifiers_skolemize @t93 1)) % 33.89/34.22 (define @t95 () (tptp.singleton @t94)) % 33.89/34.22 (define @t96 () (tptp.in @t34 @t95)) % 33.89/34.22 (define @t97 () (forall @t37 (= @t96 (= @t34 @t94)))) % 33.89/34.22 (define @t98 () (= @t96 (= @t94 @t34))) % 33.89/34.22 (define @t99 () (forall @t37 @t98)) % 33.89/34.22 (define @t100 () (= (= @t95 @t95) @t99)) % 33.89/34.22 (define @t101 () (forall @t6 (= @t39 (forall @t37 (= @t35 (= @t1 @t34)))))) % 33.89/34.22 (define @t102 () (@list false)) % 33.89/34.22 (define @t103 () (= @t22 @t34)) % 33.89/34.22 (define @t104 () (tptp.succ @t94)) % 33.89/34.22 (define @t105 () (forall @t47 (= (tptp.in @t46 @t104) (or (tptp.in @t46 @t94) (tptp.in @t46 @t95))))) % 33.89/34.22 (define @t106 () (tptp.set_union2 @t94 @t95)) % 33.89/34.22 (define @t107 () (= @t106 @t104)) % 33.89/34.22 (define @t108 () (forall @t50 (= @t48 @t103))) % 33.89/34.22 (define @t109 () (= @t105 @t107)) % 33.89/34.22 (define @t110 () (= @t104 @t106)) % 33.89/34.22 (define @t111 () (= @t110 @t105)) % 33.89/34.22 (define @t112 () (@list @t94)) % 33.89/34.22 (define @t113 () (@list false false)) % 33.89/34.22 (define @t114 () (@quantifiers_skolemize @t93 0)) % 33.89/34.22 (define @t115 () (@list @t114)) % 33.89/34.22 (define @t116 () (or @t89 @t88)) % 33.89/34.22 (define @t117 () (or @t90 @t116)) % 33.89/34.22 (define @t118 () (forall @t92 @t117)) % 33.89/34.22 (define @t119 () (@list @t87)) % 33.89/34.22 (define @t120 () (forall @t119 @t117)) % 33.89/34.22 (define @t121 () (forall @t119 @t116)) % 33.89/34.22 (define @t122 () (@list @t2)) % 33.89/34.22 (define @t123 () (or @t90 @t121)) % 33.89/34.22 (define @t124 () (= @t24 @t73)) % 33.89/34.22 (define @t125 () (not @t26)) % 33.89/34.22 (define @t126 () (forall @t42 (or @t125 @t124))) % 33.89/34.22 (define @t127 () (tptp.in @t114 @t104)) % 33.89/34.22 (define @t128 () (tptp.ordinal_subset @t114 @t94)) % 33.89/34.22 (define @t129 () (= @t128 @t127)) % 33.89/34.22 (define @t130 () (tptp.ordinal @t94)) % 33.89/34.22 (define @t131 () (not @t130)) % 33.89/34.22 (define @t132 () (tptp.ordinal @t114)) % 33.89/34.22 (define @t133 () (not @t132)) % 33.89/34.22 (define @t134 () (or @t133 @t131 @t129)) % 33.89/34.22 (define @t135 () (@list true)) % 33.89/34.22 (define @t136 () (@list @t134)) % 33.89/34.22 (define @t137 () (or @t90 @t125)) % 33.89/34.22 (define @t138 () (not @t27)) % 33.89/34.22 (define @t139 () (@list @t114 @t94)) % 33.89/34.22 (define @t140 () (tptp.subset @t114 @t94)) % 33.89/34.22 (define @t141 () (= @t128 @t140)) % 33.89/34.22 (define @t142 () (or @t133 @t131 @t141)) % 33.89/34.22 (define @t143 () (@list false false false)) % 33.89/34.22 (define @t144 () (not @t141)) % 33.89/34.22 (define @t145 () (not @t128)) % 33.89/34.22 (define @t146 () (tptp.in @t114 @t95)) % 33.89/34.22 (define @t147 () (tptp.in @t114 @t94)) % 33.89/34.22 (define @t148 () (or @t147 @t146)) % 33.89/34.22 (define @t149 () (= @t127 @t148)) % 33.89/34.22 (define @t150 () (not @t149)) % 33.89/34.22 (define @t151 () (not @t148)) % 33.89/34.22 (define @t152 () (tptp.element @t114 (tptp.powerset @t94))) % 33.89/34.22 (define @t153 () (= @t140 @t152)) % 33.89/34.22 (define @t154 () (not @t140)) % 33.89/34.22 (define @t155 () (= @t114 @t94)) % 33.89/34.22 (define @t156 () (not @t155)) % 33.89/34.22 (define @t157 () (= @t114 @t104)) % 33.89/34.22 (define @t158 () (not @t157)) % 33.89/34.22 (define @t159 () (= @t94 @t104)) % 33.89/34.22 (define @t160 () (not @t159)) % 33.89/34.22 (define @t161 () (= false true)) % 33.89/34.22 (define @t162 () (and @t155 @t157 @t160)) % 33.89/34.22 (define @t163 () (tptp.subset @t94 @t114)) % 33.89/34.22 (define @t164 () (and @t140 @t163)) % 33.89/34.22 (define @t165 () (= @t155 @t164)) % 33.89/34.22 (define @t166 () (not @t165)) % 33.89/34.22 (define @t167 () (not @t164)) % 33.89/34.22 (define @t168 () (tptp.ordinal @t104)) % 33.89/34.22 (define @t169 () (tptp.epsilon_transitive @t104)) % 33.89/34.22 (define @t170 () (and (not (tptp.empty @t104)) @t169 (tptp.epsilon_connected @t104) @t168)) % 33.89/34.22 (define @t171 () (or @t131 @t170)) % 33.89/34.22 (define @t172 () (not @t170)) % 33.89/34.22 (define @t173 () (@list @t170)) % 33.89/34.22 (define @t174 () (forall @t42 (or (not (tptp.in @t2 @t104)) (tptp.subset @t2 @t104)))) % 33.89/34.22 (define @t175 () (= @t169 @t174)) % 33.89/34.22 (define @t176 () (tptp.subset @t94 @t104)) % 33.89/34.22 (define @t177 () (tptp.in @t94 @t104)) % 33.89/34.22 (define @t178 () (not @t177)) % 33.89/34.22 (define @t179 () (or @t178 @t176)) % 33.89/34.22 (define @t180 () (and @t157 @t176)) % 33.89/34.22 (define @t181 () (@var "BOUND_VARIABLE_7826" $$unsorted)) % 33.89/34.22 (define @t182 () (tptp.in @t181 @t1)) % 33.89/34.22 (define @t183 () (= @t1 @t181)) % 33.89/34.22 (define @t184 () (tptp.in @t1 @t181)) % 33.89/34.22 (define @t185 () (not (tptp.ordinal @t181))) % 33.89/34.22 (define @t186 () (or @t185 @t184 @t183 @t182)) % 33.89/34.22 (define @t187 () (or @t90 @t186)) % 33.89/34.22 (define @t188 () (forall (@list @t1 @t181) @t187)) % 33.89/34.22 (define @t189 () (@list @t181)) % 33.89/34.22 (define @t190 () (forall @t189 @t187)) % 33.89/34.22 (define @t191 () (forall @t189 @t186)) % 33.89/34.22 (define @t192 () (or @t90 @t191)) % 33.89/34.22 (define @t193 () (or @t125 @t5 @t31 @t3)) % 33.89/34.22 (define @t194 () (forall @t42 @t193)) % 33.89/34.22 (define @t195 () (not @t4)) % 33.89/34.22 (define @t196 () (not @t64)) % 33.89/34.22 (define @t197 () (not @t65)) % 33.89/34.22 (define @t198 () (or @t197 @t196 @t195)) % 33.89/34.22 (define @t199 () (tptp.in @t104 @t114)) % 33.89/34.22 (define @t200 () (not @t168)) % 33.89/34.22 (define @t201 () (or @t133 @t200 @t127 @t157 @t199)) % 33.89/34.22 (define @t202 () (tptp.in @t104 @t94)) % 33.89/34.22 (define @t203 () (not @t202)) % 33.89/34.22 (define @t204 () (or @t178 @t203)) % 33.89/34.22 (define @t205 () (not @t199)) % 33.89/34.22 (define @t206 () (and @t199 @t155 @t203)) % 33.89/34.22 (define @t207 () (tptp.in @t94 @t114)) % 33.89/34.22 (define @t208 () (or @t133 @t131 @t147 @t155 @t207)) % 33.89/34.22 (define @t209 () (not @t82)) % 33.89/34.22 (define @t210 () (tptp.element @t94 @t94)) % 33.89/34.22 (define @t211 () (not @t152)) % 33.89/34.22 (define @t212 () (not @t207)) % 33.89/34.22 (define @t213 () (or @t212 @t211 @t210)) % 33.89/34.22 (define @t214 () (not @t85)) % 33.89/34.22 (define @t215 () (not @t54)) % 33.89/34.22 (define @t216 () (tptp.powerset tptp.empty_set)) % 33.89/34.22 (define @t217 () (tptp.element @t114 @t216)) % 33.89/34.22 (define @t218 () (not @t217)) % 33.89/34.22 (define @t219 () (or @t212 @t218 @t215)) % 33.89/34.22 (define @t220 () (tptp.in @t94 @t94)) % 33.89/34.22 (define @t221 () (not @t220)) % 33.89/34.22 (define @t222 () (or @t221 @t221)) % 33.89/34.22 (define @t223 () (forall @t6 (or @t65 @t4))) % 33.89/34.22 (define @t224 () (@list @t94 @t94)) % 33.89/34.22 (define @t225 () (not @t63)) % 33.89/34.22 (define @t226 () (tptp.empty @t94)) % 33.89/34.22 (define @t227 () (not @t210)) % 33.89/34.22 (define @t228 () (or @t227 @t226 @t220)) % 33.89/34.22 (define @t229 () (not @t226)) % 33.89/34.22 (define @t230 () (tptp.in tptp.empty_set @t114)) % 33.89/34.22 (define @t231 () (not @t230)) % 33.89/34.22 (define @t232 () (or @t231 @t211 @t229)) % 33.89/34.22 (define @t233 () (@list tptp.empty_set tptp.empty_set)) % 33.89/34.22 (define @t234 () (tptp.subset tptp.empty_set tptp.empty_set)) % 33.89/34.22 (define @t235 () (tptp.ordinal_subset tptp.empty_set tptp.empty_set)) % 33.89/34.22 (define @t236 () (= @t235 @t234)) % 33.89/34.22 (define @t237 () (not @t56)) % 33.89/34.22 (define @t238 () (or @t237 @t237 @t236)) % 33.89/34.22 (define @t239 () (or @t237 @t237 @t235 @t235)) % 33.89/34.22 (define @t240 () (tptp.element tptp.empty_set @t216)) % 33.89/34.22 (define @t241 () (= @t234 @t240)) % 33.89/34.22 (define @t242 () (not @t240)) % 33.89/34.22 (define @t243 () (tptp.in @t114 tptp.empty_set)) % 33.89/34.22 (define @t244 () (not @t243)) % 33.89/34.22 (define @t245 () (or @t244 @t242 @t215)) % 33.89/34.22 (define @t246 () (= tptp.empty_set @t114)) % 33.89/34.22 (define @t247 () (or @t237 @t133 @t230 @t246 @t243)) % 33.89/34.22 (define @t248 () (not @t246)) % 33.89/34.22 (define @t249 () (and @t218 @t246 @t240)) % 33.89/34.22 (define @t250 () (tptp.epsilon_transitive @t94)) % 33.89/34.22 (define @t251 () (and @t250 (tptp.epsilon_connected @t94))) % 33.89/34.22 (define @t252 () (or @t131 @t251)) % 33.89/34.22 (define @t253 () (forall @t42 (or (not (tptp.in @t2 @t94)) (tptp.subset @t2 @t94)))) % 33.89/34.22 (define @t254 () (= @t250 @t253)) % 33.89/34.22 (define @t255 () (@list true false)) % 33.89/34.22 (define @t256 () (not @t147)) % 33.89/34.22 (define @t257 () (or @t256 @t140)) % 33.89/34.22 (define @t258 () (= @t155 @t146)) % 33.89/34.22 (define @t259 () (not @t258)) % 33.89/34.22 (define @t260 () (= @t146 @t155)) % 33.89/34.22 (assume @p1 @t7) % 33.89/34.22 (assume @p2 (forall @t10 (=> @t9 @t8))) % 33.89/34.22 (assume @p3 @t15) % 33.89/34.22 (assume @p4 (forall @t10 (=> @t9 @t16))) % 33.89/34.22 (assume @p5 (forall @t10 (=> @t19 @t18))) % 33.89/34.22 (assume @p6 (forall @t10 (=> @t13 @t14))) % 33.89/34.22 (assume @p7 (forall @t10 (=> @t9 @t20))) % 33.89/34.22 (assume @p8 (forall @t6 (= @t22 @t21))) % 33.89/34.22 (assume @p9 @t28) % 33.89/34.22 (assume @p10 (forall @t6 (= @t31 (and @t30 @t29)))) % 33.89/34.22 (assume @p11 (forall @t10 (= @t33 (tptp.set_union2 @t1 @t32)))) % 33.89/34.22 (assume @p12 @t41) % 33.89/34.22 (assume @p13 @t45) % 33.89/34.22 (assume @p14 @t51) % 33.89/34.22 (assume @p15 (forall @t10 (exists @t42 (tptp.element @t2 @t1)))) % 33.89/34.22 (assume @p16 (and @t54 @t53 @t52)) % 33.89/34.22 (assume @p17 (forall @t10 @t55)) % 33.89/34.22 (assume @p18 @t54) % 33.89/34.22 (assume @p19 (and @t53 @t52 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t54 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) @t56)) % 33.89/34.22 (assume @p20 (forall @t6 (=> (and @t16 (tptp.relation @t2)) (tptp.relation @t22)))) % 33.89/34.22 (assume @p21 (forall @t6 (=> @t57 (not (tptp.empty @t22))))) % 33.89/34.22 (assume @p22 @t59) % 33.89/34.22 (assume @p23 (forall @t6 (=> @t57 (not (tptp.empty @t21))))) % 33.89/34.22 (assume @p24 (and @t54 @t53)) % 33.89/34.22 (assume @p25 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 33.89/34.22 (assume @p26 (exists @t10 (and @t16 @t8))) % 33.89/34.22 (assume @p27 (exists @t10 @t20)) % 33.89/34.22 (assume @p28 (exists @t10 (and @t9 @t16))) % 33.89/34.22 (assume @p29 (exists @t10 @t9)) % 33.89/34.22 (assume @p30 (exists @t10 @t19)) % 33.89/34.22 (assume @p31 (exists @t10 (and @t16 @t8 @t17 @t9 @t12 @t11 @t14))) % 33.89/34.22 (assume @p32 (exists @t10 (and @t57 @t16))) % 33.89/34.22 (assume @p33 (exists @t10 @t57)) % 33.89/34.22 (assume @p34 (exists @t10 @t18)) % 33.89/34.22 (assume @p35 (exists @t10 (and @t57 @t12 @t11 @t14))) % 33.89/34.22 (assume @p36 (exists @t10 (and @t16 @t60))) % 33.89/34.22 (assume @p37 (exists @t10 (and @t16 @t60 @t8))) % 33.89/34.22 (assume @p38 (exists @t10 (and @t16 (tptp.relation_non_empty @t1) @t8))) % 33.89/34.22 (assume @p39 @t62) % 33.89/34.22 (assume @p40 (forall @t6 (=> @t27 (tptp.ordinal_subset @t1 @t1)))) % 33.89/34.22 (assume @p41 (forall @t6 (tptp.subset @t1 @t1))) % 33.89/34.22 (assume @p42 (forall @t10 (tptp.in @t1 @t33))) % 33.89/34.22 (assume @p43 (forall @t10 (not (= @t1 @t33)))) % 33.89/34.22 (assume @p44 (forall @t10 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 33.89/34.22 (assume @p45 (forall @t6 (=> @t5 @t63))) % 33.89/34.22 (assume @p46 @t69) % 33.89/34.22 (assume @p47 @t72) % 33.89/34.22 (assume @p48 @t78) % 33.89/34.22 (assume @p49 @t80) % 33.89/34.22 (assume @p50 @t84) % 33.89/34.22 (assume @p51 @t86) % 33.89/34.22 (assume @p52 (forall @t10 (=> @t9 (= @t1 tptp.empty_set)))) % 33.89/34.22 (assume @p53 (forall @t6 (not (and @t5 @t70)))) % 33.89/34.22 (assume @p54 (forall @t6 (not (and @t9 @t64 @t70)))) % 33.89/34.22 (assume @p55 true) % 33.89/34.22 (step @p56 :rule eq-symm :args (@t34 @t1)) % 33.89/34.22 (step @p57 :rule refl :args (@t35)) % 33.89/34.22 (step @p58 :rule cong :premises (@p57 @p56) :args (@t36)) % 33.89/34.22 (step @p59 :rule cong :premises (@p58) :args (@t38)) % 33.89/34.22 (step @p60 :rule refl :args (@t39)) % 33.89/34.22 (step @p61 :rule cong :premises (@p60 @p59) :args (@t40)) % 33.89/34.22 (step @p62 :rule cong :premises (@p61) :args (@t41)) % 33.89/34.22 (step @p63 :rule eq_resolve :premises (@p12 @p62)) % 33.89/34.22 (step @p64 :rule bool-eq-true :args (@t97)) % 33.89/34.22 (step @p65 :rule eq-symm :args (true @t97)) % 33.89/34.22 (step @p66 :rule trans :premises (@p65 @p64)) % 33.89/34.22 (step @p67 :rule eq-symm :args (@t94 @t34)) % 33.89/34.22 (step @p68 :rule refl :args (@t96)) % 33.89/34.22 (step @p69 :rule cong :premises (@p68 @p67) :args (@t98)) % 33.89/34.22 (step @p70 :rule cong :premises (@p69) :args (@t99)) % 33.89/34.22 (step @p71 :rule eq-refl :args (@t95)) % 33.89/34.22 (step @p72 :rule cong :premises (@p71 @p70) :args (@t100)) % 33.89/34.22 (step @p73 :rule trans :premises (@p72 @p66)) % 33.89/34.22 (step @p74 :rule refl :args (@t101)) % 33.89/34.22 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t101 @t100))) % 33.89/34.22 (assume-push @p506 @t101) % 33.89/34.22 (step @p77 :rule instantiate :premises (@p63) :args ((@list @t94 @t95))) % 33.89/34.22 (step-pop @p507 :rule scope :premises (@p77)) % 33.89/34.22 (step @p78 :rule process_scope :premises (@p507) :args (@t100)) % 33.89/34.22 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 33.89/34.22 (step @p81 :rule implies_elim :premises (@p80)) % 33.89/34.22 (step @p82 :rule chain_m_resolution :premises (@p81 @p63) :args (@t97 @t102 (@list @t101))) % 33.89/34.22 (step @p83 :rule eq-symm :args (@t103 @t48)) % 33.89/34.22 (step @p84 :rule refl :args (@t48)) % 33.89/34.22 (step @p85 :rule eq-symm :args (@t34 @t22)) % 33.89/34.22 (step @p86 :rule cong :premises (@p85 @p84) :args (@t49)) % 33.89/34.22 (step @p87 :rule trans :premises (@p86 @p83)) % 33.89/34.22 (step @p88 :rule cong :premises (@p87) :args (@t51)) % 33.89/34.22 (step @p89 :rule eq_resolve :premises (@p14 @p88)) % 33.89/34.22 (step @p90 :rule refl :args (@t105)) % 33.89/34.22 (step @p91 :rule eq-symm :args (@t106 @t104)) % 33.89/34.22 (step @p92 :rule cong :premises (@p91 @p90) :args ((= @t107 @t105))) % 33.89/34.22 (step @p93 :rule eq-symm :args (@t105 @t107)) % 33.89/34.22 (step @p94 :rule trans :premises (@p93 @p92)) % 33.89/34.22 (step @p95 :rule refl :args (@t108)) % 33.89/34.22 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t108 @t109))) % 33.89/34.22 (assume-push @p508 @t108) % 33.89/34.22 (step @p98 :rule instantiate :premises (@p89) :args ((@list @t94 @t95 @t104))) % 33.89/34.22 (step-pop @p509 :rule scope :premises (@p98)) % 33.89/34.22 (step @p99 :rule process_scope :premises (@p509) :args (@t109)) % 33.89/34.22 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 33.89/34.22 (step @p102 :rule implies_elim :premises (@p101)) % 33.89/34.22 (step @p103 :rule chain_m_resolution :premises (@p102 @p89) :args (@t111 @t102 (@list @t108))) % 33.89/34.22 (step @p104 :rule instantiate :premises (@p11) :args (@t112)) % 33.89/34.22 (step @p105 :rule cnf_equiv_pos1 :args (@t111)) % 33.89/34.22 (step @p106 :rule reordering :premises (@p105) :args ((or (not @t110) @t105 (not @t111)))) % 33.89/34.22 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p103) :args (@t105 @t113 (@list @t110 @t111))) % 33.89/34.22 (step @p108 :rule instantiate :premises (@p107) :args (@t115)) % 33.89/34.22 (step @p109 :rule aci_norm :args ((= @t117 @t91))) % 33.89/34.22 (step @p110 :rule cong :premises (@p109) :args (@t118)) % 33.89/34.22 (step @p111 :rule quant-merge-prenex :args ((= (forall @t10 @t120) @t118))) % 33.89/34.22 (step @p112 :rule alpha_equiv :args (@t121 (@list @t87) @t122)) % 33.89/34.22 (step @p113 :rule refl :args (@t90)) % 33.89/34.22 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t123)) % 33.89/34.22 (step @p115 :rule quant-miniscope-or :args ((= @t120 @t123))) % 33.89/34.22 (step @p116 :rule trans :premises (@p115 @p114)) % 33.89/34.22 (step @p117 :rule symm :premises (@p116)) % 33.89/34.22 (step @p118 :rule cong :premises (@p117) :args ((forall @t10 (or @t90 @t126)))) % 33.89/34.22 (step @p119 :rule trans :premises (@p118 @p111)) % 33.89/34.22 (step @p120 :rule trans :premises (@p119 @p110)) % 33.89/34.22 (step @p121 :rule bool-impl-elim :args (@t14 @t126)) % 33.89/34.22 (step @p122 :rule cong :premises (@p121) :args ((forall @t10 (=> @t14 @t126)))) % 33.89/34.22 (step @p123 :rule trans :premises (@p122 @p120)) % 33.89/34.22 (step @p124 :rule bool-impl-elim :args (@t26 @t124)) % 33.89/34.22 (step @p125 :rule cong :premises (@p124) :args ((forall @t42 (=> @t26 @t124)))) % 33.89/34.22 (step @p126 :rule eq-symm :args (@t73 @t24)) % 33.89/34.22 (step @p127 :rule refl :args (@t26)) % 33.89/34.22 (step @p128 :rule cong :premises (@p127 @p126) :args (@t74)) % 33.89/34.22 (step @p129 :rule cong :premises (@p128) :args (@t75)) % 33.89/34.22 (step @p130 :rule trans :premises (@p129 @p125)) % 33.89/34.22 (step @p131 :rule refl :args (@t14)) % 33.89/34.22 (step @p132 :rule cong :premises (@p131 @p130) :args (@t76)) % 33.89/34.22 (step @p133 :rule cong :premises (@p132) :args (@t77)) % 33.89/34.22 (step @p134 :rule trans :premises (@p133 @p123)) % 33.89/34.22 (step @p135 :rule cong :premises (@p134) :args (@t78)) % 33.89/34.22 (step @p136 :rule eq_resolve :premises (@p48 @p135)) % 33.89/34.22 (step @p137 :rule skolemize :premises (@p136)) % 33.89/34.22 (step @p138 :rule cnf_or_neg :args (@t134 2)) % 33.89/34.22 (step @p139 :rule chain_m_resolution :premises (@p138 @p137) :args ((not @t129) @t135 @t136)) % 33.89/34.22 (step @p140 :rule cnf_equiv_neg2 :args (@t129)) % 33.89/34.22 (step @p141 :rule aci_norm :args ((= (or @t137 @t61) (or @t90 @t125 @t61)))) % 33.89/34.22 (step @p142 :rule refl :args (@t61)) % 33.89/34.22 (step @p143 :rule bool-and-de-morgan :args (@t14 @t26 true)) % 33.89/34.22 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t138 @t61))) % 33.89/34.22 (step @p145 :rule trans :premises (@p144 @p141)) % 33.89/34.22 (step @p146 :rule bool-impl-elim :args (@t27 @t61)) % 33.89/34.22 (step @p147 :rule trans :premises (@p146 @p145)) % 33.89/34.22 (step @p148 :rule cong :premises (@p147) :args (@t62)) % 33.89/34.22 (step @p149 :rule eq_resolve :premises (@p39 @p148)) % 33.89/34.22 (step @p150 :rule instantiate :premises (@p149) :args (@t139)) % 33.89/34.22 (step @p151 :rule bool-double-not-elim :args (@t130)) % 33.89/34.22 (step @p152 :rule refl :args (@t134)) % 33.89/34.22 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or @t134 (not @t131)))) % 33.89/34.22 (step @p154 :rule cnf_or_neg :args (@t134 1)) % 33.89/34.22 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 33.89/34.22 (step @p156 :rule reordering :premises (@p155) :args ((or @t130 @t134))) % 33.89/34.22 (step @p157 :rule chain_m_resolution :premises (@p156 @p137) :args (@t130 @t135 @t136)) % 33.89/34.22 (step @p158 :rule bool-double-not-elim :args (@t132)) % 33.89/34.22 (step @p159 :rule nary_cong :premises (@p152 @p158) :args ((or @t134 (not @t133)))) % 33.89/34.22 (step @p160 :rule cnf_or_neg :args (@t134 0)) % 33.89/34.22 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 33.89/34.22 (step @p162 :rule reordering :premises (@p161) :args ((or @t132 @t134))) % 33.89/34.22 (step @p163 :rule chain_m_resolution :premises (@p162 @p137) :args (@t132 @t135 @t136)) % 33.89/34.22 (step @p164 :rule cnf_or_pos :args (@t142)) % 33.89/34.22 (step @p165 :rule reordering :premises (@p164) :args ((or @t133 @t131 @t141 (not @t142)))) % 33.89/34.22 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p157 @p150) :args (@t141 @t143 (@list @t132 @t130 @t142))) % 33.89/34.22 (step @p167 :rule cnf_equiv_pos1 :args (@t141)) % 33.89/34.22 (step @p168 :rule reordering :premises (@p167) :args ((or @t145 @t140 @t144))) % 33.89/34.22 (step @p169 :rule cnf_equiv_pos2 :args (@t149)) % 33.89/34.22 (step @p170 :rule reordering :premises (@p169) :args ((or @t127 @t151 @t150))) % 33.89/34.22 (step @p171 :rule eq-symm :args (@t79 @t30)) % 33.89/34.22 (step @p172 :rule cong :premises (@p171) :args (@t80)) % 33.89/34.22 (step @p173 :rule eq_resolve :premises (@p49 @p172)) % 33.89/34.22 (step @p174 :rule instantiate :premises (@p173) :args (@t139)) % 33.89/34.22 (step @p175 :rule cnf_equiv_pos1 :args (@t153)) % 33.89/34.22 (step @p176 :rule reordering :premises (@p175) :args ((or @t154 @t152 (not @t153)))) % 33.89/34.22 (step @p177 :rule instantiate :premises (@p43) :args (@t112)) % 33.89/34.22 (step @p178 :rule refl :args (@t156)) % 33.89/34.22 (step @p179 :rule refl :args (@t158)) % 33.89/34.22 (step @p180 :rule bool-double-not-elim :args (@t159)) % 33.89/34.22 (step @p181 :rule nary_cong :premises (@p180 @p179 @p178) :args ((or (not @t160) @t158 @t156))) % 33.89/34.22 (assume-push @p510 @t155) % 33.89/34.22 (assume-push @p511 @t157) % 33.89/34.22 (assume-push @p512 @t160) % 33.89/34.22 (step @p185 :rule evaluate :args (@t161)) % 33.89/34.22 (step @p186 :rule symm :premises (@p510)) % 33.89/34.22 (step @p187 :rule trans :premises (@p186 @p511)) % 33.89/34.22 (step @p188 :rule true_intro :premises (@p187)) % 33.89/34.22 (step @p189 :rule false_intro :premises (@p177)) % 33.89/34.22 (step @p190 :rule symm :premises (@p189)) % 33.89/34.22 (step @p191 :rule trans :premises (@p190 @p188)) % 33.89/34.22 (step @p192 false :rule eq_resolve :premises (@p191 @p185)) % 33.89/34.22 (step-pop @p513 :rule scope :premises (@p192)) % 33.89/34.22 (step-pop @p514 :rule scope :premises (@p513)) % 33.89/34.22 (step-pop @p515 :rule scope :premises (@p514)) % 33.89/34.22 (step @p193 :rule process_scope :premises (@p515) :args (false)) % 33.89/34.22 (assume-push @p516 @t160) % 33.89/34.22 (assume-push @p517 @t157) % 33.89/34.22 (assume-push @p518 @t155) % 33.89/34.22 (step @p200 :rule and_intro :premises (@p518 @p517 @p177)) % 33.89/34.22 (step-pop @p519 :rule scope :premises (@p200)) % 33.89/34.22 (step-pop @p520 :rule scope :premises (@p519)) % 33.89/34.22 (step-pop @p521 :rule scope :premises (@p520)) % 33.89/34.22 (step @p201 :rule process_scope :premises (@p521) :args (@t162)) % 33.89/34.22 (step @p205 :rule implies_elim :premises (@p201)) % 33.89/34.22 (step @p206 :rule resolution :premises (@p205 @p193) :args (true @t162)) % 33.89/34.22 (step @p207 :rule not_and :premises (@p206)) % 33.89/34.22 (step @p208 :rule eq_resolve :premises (@p207 @p181)) % 33.89/34.22 (step @p209 :rule instantiate :premises (@p10) :args (@t139)) % 33.89/34.22 (step @p210 :rule cnf_equiv_pos2 :args (@t165)) % 33.89/34.22 (step @p211 :rule reordering :premises (@p210) :args ((or @t155 @t167 @t166))) % 33.89/34.22 (step @p212 :rule cnf_and_neg :args (@t164)) % 33.89/34.22 (step @p213 :rule reordering :premises (@p212) :args ((or @t154 @t164 (not @t163)))) % 33.89/34.22 (step @p214 :rule bool-impl-elim :args (@t3 @t29)) % 33.89/34.22 (step @p215 :rule cong :premises (@p214) :args (@t43)) % 33.89/34.22 (step @p216 :rule refl :args (@t12)) % 33.89/34.22 (step @p217 :rule cong :premises (@p216 @p215) :args (@t44)) % 33.89/34.22 (step @p218 :rule cong :premises (@p217) :args (@t45)) % 33.89/34.22 (step @p219 :rule eq_resolve :premises (@p13 @p218)) % 33.89/34.22 (step @p220 :rule instantiate :premises (@p219) :args ((@list @t104))) % 33.89/34.22 (step @p221 :rule bool-impl-elim :args (@t14 @t58)) % 33.89/34.22 (step @p222 :rule cong :premises (@p221) :args (@t59)) % 33.89/34.22 (step @p223 :rule eq_resolve :premises (@p22 @p222)) % 33.89/34.22 (step @p224 :rule instantiate :premises (@p223) :args (@t112)) % 33.89/34.22 (step @p225 :rule cnf_or_pos :args (@t171)) % 33.89/34.22 (step @p226 :rule reordering :premises (@p225) :args ((or @t131 @t170 (not @t171)))) % 33.89/34.22 (step @p227 :rule chain_m_resolution :premises (@p226 @p157 @p224) :args (@t170 @t113 (@list @t130 @t171))) % 33.89/34.22 (step @p228 :rule cnf_and_pos :args (@t170 1)) % 33.89/34.22 (step @p229 :rule reordering :premises (@p228) :args ((or @t169 @t172))) % 33.89/34.22 (step @p230 :rule chain_m_resolution :premises (@p229 @p227) :args (@t169 @t102 @t173)) % 33.89/34.22 (step @p231 :rule cnf_equiv_pos1 :args (@t175)) % 33.89/34.22 (step @p232 :rule reordering :premises (@p231) :args ((or (not @t169) @t174 (not @t175)))) % 33.89/34.22 (step @p233 :rule chain_m_resolution :premises (@p232 @p230 @p220) :args (@t174 @t113 (@list @t169 @t175))) % 33.89/34.22 (step @p234 :rule instantiate :premises (@p233) :args (@t112)) % 33.89/34.22 (step @p235 :rule instantiate :premises (@p42) :args (@t112)) % 33.89/34.22 (step @p236 :rule cnf_or_pos :args (@t179)) % 33.89/34.22 (step @p237 :rule reordering :premises (@p236) :args ((or @t178 @t176 (not @t179)))) % 33.89/34.22 (step @p238 :rule chain_m_resolution :premises (@p237 @p235 @p234) :args (@t176 @t113 (@list @t177 @t179))) % 33.89/34.22 (assume-push @p522 @t157) % 33.89/34.22 (assume-push @p523 @t176) % 33.89/34.22 (assume-push @p524 @t176) % 33.89/34.22 (assume-push @p525 @t157) % 33.89/34.22 (step @p243 :rule true_intro :premises (@p238)) % 33.89/34.22 (step @p244 :rule refl :args (@t94)) % 33.89/34.22 (step @p245 :rule cong :premises (@p244 @p522) :args (@t163)) % 33.89/34.22 (step @p246 :rule trans :premises (@p245 @p243)) % 33.89/34.22 (step @p247 :rule true_elim :premises (@p246)) % 33.89/34.22 (step-pop @p526 :rule scope :premises (@p247)) % 33.89/34.22 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33.89/34.22 (step @p261 :rule cnf_or_neg :args (@t148 0)) % 33.89/34.22 (step @p262 :rule aci_norm :args ((= @t187 (or @t90 @t185 @t184 @t183 @t182)))) % 33.89/34.22 (step @p263 :rule cong :premises (@p262) :args (@t188)) % 33.89/34.22 (step @p264 :rule quant-merge-prenex :args ((= (forall @t10 @t190) @t188))) % 33.89/34.22 (step @p265 :rule alpha_equiv :args (@t191 (@list @t181) @t122)) % 33.89/34.22 (step @p266 :rule nary_cong :premises (@p113 @p265) :args (@t192)) % 33.89/34.22 (step @p267 :rule quant-miniscope-or :args ((= @t190 @t192))) % 33.89/34.22 (step @p268 :rule trans :premises (@p267 @p266)) % 33.89/34.22 (step @p269 :rule symm :premises (@p268)) % 33.89/34.22 (step @p270 :rule cong :premises (@p269) :args ((forall @t10 (or @t90 @t194)))) % 33.89/34.22 (step @p271 :rule trans :premises (@p270 @p264)) % 33.89/34.22 (step @p272 :rule trans :premises (@p271 @p263)) % 33.89/34.22 (step @p273 :rule bool-impl-elim :args (@t14 @t194)) % 33.89/34.22 (step @p274 :rule cong :premises 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(step @p358 :rule aci_norm :args ((= (or @t65 (or @t209 @t214)) (or @t65 @t209 @t214)))) % 33.89/34.22 (step @p359 :rule bool-and-de-morgan :args (@t82 @t85 true)) % 33.89/34.22 (step @p360 :rule refl :args (@t65)) % 33.89/34.22 (step @p361 :rule nary_cong :premises (@p360 @p359) :args ((or @t65 (not (and @t82 @t85))))) % 33.89/34.22 (step @p362 :rule bool-and-de-morgan :args (@t5 @t82 (and @t85))) % 33.89/34.22 (step @p363 :rule trans :premises (@p362 @p361)) % 33.89/34.22 (step @p364 :rule trans :premises (@p363 @p358)) % 33.89/34.22 (step @p365 :rule cong :premises (@p364) :args (@t86)) % 33.89/34.22 (step @p366 :rule eq_resolve :premises (@p51 @p365)) % 33.89/34.22 (step @p367 :rule instantiate :premises (@p366) :args ((@list @t94 @t114 tptp.empty_set))) % 33.89/34.22 (step @p368 :rule cnf_or_pos :args (@t219)) % 33.89/34.22 (step @p369 :rule reordering :premises (@p368) :args ((or @t215 @t218 @t212 (not @t219)))) % 33.89/34.22 (step @p370 :rule aci_norm :args ((= @t222 @t221))) % 33.89/34.22 (step @p371 :rule refl :args (@t223)) % 33.89/34.22 (step @p372 :rule cong :premises (@p371 @p370) :args ((=> @t223 @t222))) % 33.89/34.22 (assume-push @p542 @t223) % 33.89/34.22 (step @p374 :rule instantiate :premises (@p307) :args (@t224)) % 33.89/34.22 (step-pop @p543 :rule scope :premises (@p374)) % 33.89/34.22 (step @p375 :rule process_scope :premises (@p543) :args (@t222)) % 33.89/34.22 (step @p377 :rule eq_resolve :premises (@p375 @p372)) % 33.89/34.22 (step @p378 :rule implies_elim :premises (@p377)) % 33.89/34.22 (step @p379 :rule chain_m_resolution :premises (@p378 @p307) :args (@t221 @t102 (@list @t223))) % 33.89/34.22 (step @p380 :rule aci_norm :args ((= (or @t225 @t71) (or @t225 @t70 @t5)))) % 33.89/34.22 (step @p381 :rule bool-impl-elim :args (@t63 @t71)) % 33.89/34.22 (step @p382 :rule trans :premises (@p381 @p380)) % 33.89/34.22 (step @p383 :rule cong :premises (@p382) :args (@t72)) % 33.89/34.22 (step @p384 :rule eq_resolve :premises (@p47 @p383)) % 33.89/34.22 (step @p385 :rule instantiate :premises (@p384) :args (@t224)) % 33.89/34.22 (step @p386 :rule cnf_or_pos :args (@t228)) % 33.89/34.22 (step @p387 :rule reordering :premises (@p386) :args ((or @t226 @t220 @t227 (not @t228)))) % 33.89/34.22 (step @p388 :rule instantiate :premises (@p366) :args ((@list tptp.empty_set @t114 @t94))) % 33.89/34.22 (step @p389 :rule cnf_or_pos :args (@t232)) % 33.89/34.22 (step @p390 :rule reordering :premises (@p389) :args ((or @t229 @t211 @t231 (not @t232)))) % 33.89/34.22 (step @p391 :rule and_elim :premises (@p19) :args (7)) % 33.89/34.22 (step @p392 :rule instantiate :premises (@p298) :args ((@list tptp.empty_set @t114))) % 33.89/34.22 (step @p393 :rule instantiate :premises (@p366) :args ((@list @t114 tptp.empty_set tptp.empty_set))) % 33.89/34.22 (step @p394 :rule instantiate :premises (@p173) :args (@t233)) % 33.89/34.22 (step @p395 :rule instantiate :premises (@p149) :args (@t233)) % 33.89/34.22 (step @p396 :rule cnf_or_pos :args 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33.89/34.22 (step @p410 :rule factoring :premises (@p409)) % 33.89/34.22 (step @p411 :rule reordering :premises (@p410) :args ((or @t237 @t235 (not @t239)))) % 33.89/34.22 (step @p412 :rule chain_m_resolution :premises (@p411 @p391 @p408) :args (@t235 @t113 (@list @t56 @t239))) % 33.89/34.22 (step @p413 :rule cnf_equiv_pos1 :args (@t236)) % 33.89/34.22 (step @p414 :rule reordering :premises (@p413) :args ((or @t234 (not @t235) (not @t236)))) % 33.89/34.22 (step @p415 :rule chain_m_resolution :premises (@p414 @p412 @p399) :args (@t234 @t113 (@list @t235 @t236))) % 33.89/34.22 (step @p416 :rule cnf_equiv_pos1 :args (@t241)) % 33.89/34.22 (step @p417 :rule reordering :premises (@p416) :args ((or (not @t234) @t240 (not @t241)))) % 33.89/34.22 (step @p418 :rule chain_m_resolution :premises (@p417 @p415 @p394) :args (@t240 @t113 (@list @t234 @t241))) % 33.89/34.22 (step @p419 :rule cnf_or_pos :args (@t245)) % 33.89/34.22 (step @p420 :rule reordering :premises (@p419) :args ((or @t215 @t242 @t244 (not @t245)))) % 33.89/34.22 (step @p421 :rule chain_m_resolution :premises (@p420 @p357 @p418 @p393) :args (@t244 @t143 (@list @t54 @t240 @t245))) % 33.89/34.22 (step @p422 :rule cnf_or_pos :args (@t247)) % 33.89/34.22 (step @p423 :rule reordering :premises (@p422) :args ((or @t237 @t133 @t230 @t246 @t243 (not @t247)))) % 33.89/34.22 (step @p424 :rule bool-double-not-elim :args (@t217)) % 33.89/34.22 (step @p425 :rule refl :args (@t248)) % 33.89/34.22 (step @p426 :rule refl :args (@t242)) % 33.89/34.22 (step @p427 :rule nary_cong :premises (@p426 @p425 @p424) :args ((or @t242 @t248 (not @t218)))) % 33.89/34.22 (assume-push @p544 @t218) % 33.89/34.22 (assume-push @p545 @t246) % 33.89/34.22 (assume-push @p546 @t240) % 33.89/34.22 (step @p431 :rule evaluate :args ((= true false))) % 33.89/34.22 (step @p432 :rule false_intro :premises (@p544)) % 33.89/34.22 (step @p433 :rule refl :args (@t216)) % 33.89/34.22 (step @p434 :rule cong :premises (@p545 @p433) :args (@t240)) % 33.89/34.22 (step @p435 :rule true_intro :premises (@p418)) % 33.89/34.22 (step @p436 :rule symm :premises (@p435)) % 33.89/34.22 (step @p437 :rule trans :premises (@p436 @p434 @p432)) % 33.89/34.22 (step @p438 false :rule eq_resolve :premises (@p437 @p431)) % 33.89/34.22 (step-pop @p547 :rule scope :premises (@p438)) % 33.89/34.22 (step-pop @p548 :rule scope :premises (@p547)) % 33.89/34.22 (step-pop @p549 :rule scope :premises (@p548)) % 33.89/34.22 (step @p439 :rule process_scope :premises (@p549) :args (false)) % 33.89/34.22 (assume-push @p550 @t240) % 33.89/34.22 (assume-push @p551 @t246) % 33.89/34.22 (assume-push @p552 @t218) % 33.89/34.22 (step @p446 :rule and_intro :premises (@p552 @p551 @p418)) % 33.89/34.22 (step-pop @p553 :rule scope :premises (@p446)) % 33.89/34.22 (step-pop @p554 :rule scope :premises (@p553)) % 33.89/34.22 (step-pop @p555 :rule scope :premises (@p554)) % 33.89/34.22 (step @p447 :rule process_scope :premises (@p555) :args (@t249)) % 33.89/34.22 (step @p451 :rule implies_elim :premises (@p447)) % 33.89/34.22 (step @p452 :rule resolution :premises (@p451 @p439) :args (true @t249)) % 33.89/34.22 (step @p453 :rule not_and :premises (@p452)) % 33.89/34.22 (step @p454 :rule eq_resolve :premises (@p453 @p427)) % 33.89/34.22 (step @p455 :rule reordering :premises (@p454) :args ((or @t242 @t217 @t248))) % 33.89/34.22 (step @p456 :rule chain_m_resolution :premises (@p455 @p418 @p423 @p421 @p392 @p163 @p391 @p390 @p388 @p387 @p385 @p379 @p369 @p367 @p357 @p356 @p354 @p344 @p342 @p157 @p163 @p341 @p311 @p304 @p302 @p299 @p163 @p261 @p260 @p176 @p174 @p170 @p108 @p168 @p166 @p140 @p139) :args (@t145 (@list false false true false false false true false false false true true false false false false false false false false true true false false false false true true false false true false false false true true) (@list @t240 @t246 @t243 @t247 @t132 @t56 @t230 @t232 @t226 @t228 @t220 @t217 @t219 @t54 @t210 @t213 @t207 @t208 @t130 @t132 @t155 @t202 @t199 @t168 @t201 @t132 @t147 @t157 @t152 @t153 @t148 @t149 @t140 @t141 @t127 @t129))) % 33.89/34.22 (step @p457 :rule cnf_equiv_neg1 :args (@t129)) % 33.89/34.22 (step @p458 :rule reordering :premises (@p457) :args ((or @t128 @t127 @t129))) % 33.89/34.22 (step @p459 :rule chain_m_resolution :premises (@p458 @p456 @p139) :args (@t127 (@list true true) (@list @t128 @t129))) % 33.89/34.22 (step @p460 :rule cnf_equiv_pos1 :args (@t149)) % 33.89/34.22 (step @p461 :rule reordering :premises (@p460) :args ((or (not @t127) @t148 @t150))) % 33.89/34.22 (step @p462 :rule chain_m_resolution :premises (@p461 @p459 @p108) :args (@t148 @t113 (@list @t127 @t149))) % 33.89/34.22 (step @p463 :rule instantiate :premises (@p219) :args (@t112)) % 33.89/34.22 (step @p464 :rule bool-impl-elim :args (@t14 @t13)) % 33.89/34.22 (step @p465 :rule cong :premises (@p464) :args (@t15)) % 33.89/34.22 (step @p466 :rule eq_resolve :premises (@p3 @p465)) % 33.89/34.22 (step @p467 :rule instantiate :premises (@p466) :args (@t112)) % 33.89/34.22 (step @p468 :rule cnf_or_pos :args (@t252)) % 33.89/34.22 (step @p469 :rule reordering :premises (@p468) :args ((or @t131 @t251 (not @t252)))) % 33.89/34.22 (step @p470 :rule chain_m_resolution :premises (@p469 @p157 @p467) :args (@t251 @t113 (@list @t130 @t252))) % 33.89/34.22 (step @p471 :rule cnf_and_pos :args (@t251 0)) % 33.89/34.22 (step @p472 :rule reordering :premises (@p471) :args ((or @t250 (not @t251)))) % 33.89/34.22 (step @p473 :rule chain_m_resolution :premises (@p472 @p470) :args (@t250 @t102 (@list @t251))) % 33.89/34.22 (step @p474 :rule cnf_equiv_pos1 :args (@t254)) % 33.89/34.22 (step @p475 :rule reordering :premises (@p474) :args ((or (not @t250) @t253 (not @t254)))) % 33.89/34.22 (step @p476 :rule chain_m_resolution :premises (@p475 @p473 @p463) :args (@t253 @t113 (@list @t250 @t254))) % 33.89/34.22 (step @p477 :rule instantiate :premises (@p476) :args (@t115)) % 33.89/34.22 (step @p478 :rule cnf_equiv_pos2 :args (@t141)) % 33.89/34.22 (step @p479 :rule reordering :premises (@p478) :args ((or @t128 @t154 @t144))) % 33.89/34.22 (step @p480 :rule chain_m_resolution :premises (@p479 @p456 @p166) :args (@t154 @t255 (@list @t128 @t141))) % 33.89/34.22 (step @p481 :rule cnf_or_pos :args (@t257)) % 33.89/34.22 (step @p482 :rule reordering :premises (@p481) :args ((or @t140 @t256 (not @t257)))) % 33.89/34.22 (step @p483 :rule chain_m_resolution :premises (@p482 @p480 @p477) :args (@t256 @t255 (@list @t140 @t257))) % 33.89/34.22 (step @p484 :rule cnf_or_pos :args (@t148)) % 33.89/34.22 (step @p485 :rule reordering :premises (@p484) :args ((or @t147 @t146 @t151))) % 33.89/34.22 (step @p486 :rule chain_m_resolution :premises (@p485 @p483 @p462) :args (@t146 @t255 (@list @t147 @t148))) % 33.89/34.22 (step @p487 :rule cnf_and_pos :args (@t164 0)) % 33.89/34.22 (step @p488 :rule reordering :premises (@p487) :args ((or @t140 @t167))) % 33.89/34.22 (step @p489 :rule chain_m_resolution :premises (@p488 @p480) :args (@t167 @t135 (@list @t140))) % 33.89/34.22 (step @p490 :rule cnf_equiv_pos1 :args (@t165)) % 33.89/34.22 (step @p491 :rule reordering :premises (@p490) :args ((or @t164 @t156 @t166))) % 33.89/34.22 (step @p492 :rule chain_m_resolution :premises (@p491 @p489 @p209) :args (@t156 @t255 (@list @t164 @t165))) % 33.89/34.22 (step @p493 :rule cnf_equiv_pos2 :args (@t258)) % 33.89/34.22 (step @p494 :rule reordering :premises (@p493) :args ((or @t155 (not @t146) @t259))) % 33.89/34.22 (step @p495 :rule chain_m_resolution :premises (@p494 @p492 @p486) :args (@t259 @t255 (@list @t155 @t146))) % 33.89/34.22 (step @p496 :rule eq-symm :args (@t146 @t155)) % 33.89/34.22 (step @p497 :rule refl :args (@t97)) % 33.89/34.22 (step @p498 :rule cong :premises (@p497 @p496) :args ((=> @t97 @t260))) % 33.89/34.22 (assume-push @p556 @t97) % 33.89/34.22 (step @p500 :rule instantiate :premises (@p82) :args (@t115)) % 33.89/34.22 (step-pop @p557 :rule scope :premises (@p500)) % 33.89/34.22 (step @p501 :rule process_scope :premises (@p557) :args (@t260)) % 33.89/34.22 (step @p503 :rule eq_resolve :premises (@p501 @p498)) % 33.89/34.22 (step @p504 :rule implies_elim :premises (@p503)) % 33.89/34.22 (step @p505 false :rule chain_m_resolution :premises (@p504 @p495 @p82) :args (false @t255 (@list @t258 @t97))) % 33.89/34.22 ) % 33.89/34.22 % SZS output end Proof % 33.89/34.22 % cvc5 exiting %------------------------------------------------------------------------------