%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU238+3 : 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 : n009.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 08:51:05 AM UTC 2026 % Result : Theorem 0.86s 1.05s % Output : Proof 0.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU238+3 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.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 16:46:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.86/1.05 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.86/1.05 % SZS status Theorem % 0.86/1.05 % SZS output start Proof % 0.86/1.05 ( % 0.86/1.05 (declare-sort $$unsorted 0) % 0.86/1.05 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 0.86/1.05 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.86/1.05 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.86/1.05 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.86/1.05 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.86/1.05 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.86/1.05 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.05 (declare-const tptp.function (-> $$unsorted Bool)) % 0.86/1.05 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.86/1.05 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.86/1.05 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.86/1.05 (declare-const tptp.empty_set $$unsorted) % 0.86/1.05 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.86/1.05 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.86/1.05 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.86/1.05 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.86/1.05 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.86/1.05 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.86/1.05 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.86/1.05 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.86/1.05 (define @t1 () (@var "A" $$unsorted)) % 0.86/1.05 (define @t2 () (@var "B" $$unsorted)) % 0.86/1.05 (define @t3 () (tptp.in @t2 @t1)) % 0.86/1.05 (define @t4 () (not @t3)) % 0.86/1.05 (define @t5 () (tptp.in @t1 @t2)) % 0.86/1.05 (define @t6 () (@list @t1 @t2)) % 0.86/1.05 (define @t7 () (forall @t6 (=> @t5 @t4))) % 0.86/1.05 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.86/1.05 (define @t9 () (tptp.function @t1)) % 0.86/1.05 (define @t10 () (tptp.empty @t1)) % 0.86/1.05 (define @t11 () (@list @t1)) % 0.86/1.05 (define @t12 () (tptp.epsilon_connected @t1)) % 0.86/1.05 (define @t13 () (tptp.epsilon_transitive @t1)) % 0.86/1.05 (define @t14 () (and @t13 @t12)) % 0.86/1.05 (define @t15 () (tptp.ordinal @t1)) % 0.86/1.05 (define @t16 () (tptp.relation @t1)) % 0.86/1.05 (define @t17 () (tptp.one_to_one @t1)) % 0.86/1.05 (define @t18 () (and @t16 @t9 @t17)) % 0.86/1.05 (define @t19 () (and @t16 @t10 @t9)) % 0.86/1.05 (define @t20 () (and @t13 @t12 @t15)) % 0.86/1.05 (define @t21 () (tptp.set_union2 @t2 @t1)) % 0.86/1.05 (define @t22 () (tptp.set_union2 @t1 @t2)) % 0.86/1.05 (define @t23 () (tptp.ordinal_subset @t1 @t2)) % 0.86/1.05 (define @t24 () (tptp.ordinal @t2)) % 0.86/1.05 (define @t25 () (and @t15 @t24)) % 0.86/1.05 (define @t26 () (tptp.succ @t1)) % 0.86/1.05 (define @t27 () (not (= @t1 @t2))) % 0.86/1.05 (define @t28 () (tptp.subset @t1 @t2)) % 0.86/1.05 (define @t29 () (forall @t6 (= @t8 (and @t28 @t27)))) % 0.86/1.05 (define @t30 () (@list @t2)) % 0.86/1.05 (define @t31 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.86/1.05 (define @t32 () (tptp.relation tptp.empty_set)) % 0.86/1.05 (define @t33 () (tptp.empty tptp.empty_set)) % 0.86/1.05 (define @t34 () (not (tptp.empty @t26))) % 0.86/1.05 (define @t35 () (not @t10)) % 0.86/1.05 (define @t36 () (and @t34 (tptp.epsilon_transitive @t26) (tptp.epsilon_connected @t26) (tptp.ordinal @t26))) % 0.86/1.05 (define @t37 () (forall @t11 (=> @t15 @t36))) % 0.86/1.05 (define @t38 () (tptp.relation_empty_yielding @t1)) % 0.86/1.05 (define @t39 () (= @t23 @t28)) % 0.86/1.05 (define @t40 () (forall @t6 (=> @t25 @t39))) % 0.86/1.05 (define @t41 () (tptp.element @t1 @t2)) % 0.86/1.05 (define @t42 () (=> @t8 @t5)) % 0.86/1.05 (define @t43 () (forall @t30 (=> @t24 @t42))) % 0.86/1.05 (define @t44 () (=> @t13 @t43)) % 0.86/1.05 (define @t45 () (forall @t11 @t44)) % 0.86/1.05 (define @t46 () (tptp.empty @t2)) % 0.86/1.05 (define @t47 () (= @t5 (tptp.ordinal_subset @t26 @t2))) % 0.86/1.05 (define @t48 () (forall @t30 (=> @t24 @t47))) % 0.86/1.05 (define @t49 () (=> @t15 @t48)) % 0.86/1.05 (define @t50 () (forall @t11 @t49)) % 0.86/1.05 (define @t51 () (tptp.succ @t2)) % 0.86/1.05 (define @t52 () (tptp.in @t51 @t1)) % 0.86/1.05 (define @t53 () (=> @t3 @t52)) % 0.86/1.05 (define @t54 () (forall @t30 (=> @t24 @t53))) % 0.86/1.05 (define @t55 () (tptp.being_limit_ordinal @t1)) % 0.86/1.05 (define @t56 () (= @t55 @t54)) % 0.86/1.05 (define @t57 () (=> @t15 @t56)) % 0.86/1.05 (define @t58 () (forall @t11 @t57)) % 0.86/1.05 (define @t59 () (= @t1 @t51)) % 0.86/1.05 (define @t60 () (and @t24 @t59)) % 0.86/1.05 (define @t61 () (exists @t30 @t60)) % 0.86/1.05 (define @t62 () (and @t61 @t55)) % 0.86/1.05 (define @t63 () (not @t62)) % 0.86/1.05 (define @t64 () (not @t59)) % 0.86/1.05 (define @t65 () (forall @t30 (=> @t24 @t64))) % 0.86/1.05 (define @t66 () (not @t55)) % 0.86/1.05 (define @t67 () (and @t66 @t65)) % 0.86/1.05 (define @t68 () (not @t67)) % 0.86/1.05 (define @t69 () (and @t68 @t63)) % 0.86/1.05 (define @t70 () (=> @t15 @t69)) % 0.86/1.05 (define @t71 () (forall @t11 @t70)) % 0.86/1.05 (define @t72 () (not @t71)) % 0.86/1.05 (define @t73 () (@var "C" $$unsorted)) % 0.86/1.05 (define @t74 () (tptp.element @t2 (tptp.powerset @t73))) % 0.86/1.05 (define @t75 () (@list @t1 @t2 @t73)) % 0.86/1.05 (define @t76 () (not @t24)) % 0.86/1.05 (define @t77 () (or @t76 @t4 @t52)) % 0.86/1.05 (define @t78 () (= @t55 (forall @t30 @t77))) % 0.86/1.05 (define @t79 () (@var "BOUND_VARIABLE_7888" $$unsorted)) % 0.86/1.05 (define @t80 () (not (= @t1 (tptp.succ @t79)))) % 0.86/1.05 (define @t81 () (not (tptp.ordinal @t79))) % 0.86/1.05 (define @t82 () (or @t66 @t81 @t80)) % 0.86/1.05 (define @t83 () (forall @t30 (or @t76 @t64))) % 0.86/1.05 (define @t84 () (not @t83)) % 0.86/1.05 (define @t85 () (or @t55 @t84)) % 0.86/1.05 (define @t86 () (not @t15)) % 0.86/1.05 (define @t87 () (@list @t1 @t79)) % 0.86/1.05 (define @t88 () (forall @t87 (or @t86 (and @t85 @t82)))) % 0.86/1.05 (define @t89 () (@quantifiers_skolemize @t88 0)) % 0.86/1.05 (define @t90 () (or @t81 @t80)) % 0.86/1.05 (define @t91 () (or @t90 @t66)) % 0.86/1.05 (define @t92 () (and @t85 @t91)) % 0.86/1.05 (define @t93 () (or @t86 @t92)) % 0.86/1.05 (define @t94 () (forall @t87 @t93)) % 0.86/1.05 (define @t95 () (@list @t79)) % 0.86/1.05 (define @t96 () (forall @t95 @t93)) % 0.86/1.05 (define @t97 () (forall @t95 @t90)) % 0.86/1.05 (define @t98 () (@list @t2)) % 0.86/1.05 (define @t99 () (or @t97 @t66)) % 0.86/1.05 (define @t100 () (forall @t95 @t91)) % 0.86/1.05 (define @t101 () (forall @t95 @t85)) % 0.86/1.05 (define @t102 () (and @t101 @t100)) % 0.86/1.05 (define @t103 () (forall @t95 @t92)) % 0.86/1.05 (define @t104 () (or @t86 @t103)) % 0.86/1.05 (define @t105 () (and (not (and @t66 @t83)) (not (and @t84 @t55)))) % 0.86/1.05 (define @t106 () (forall @t30 (not @t60))) % 0.86/1.05 (define @t107 () (not @t106)) % 0.86/1.05 (define @t108 () (@quantifiers_skolemize @t88 1)) % 0.86/1.05 (define @t109 () (tptp.succ @t108)) % 0.86/1.05 (define @t110 () (= @t89 @t109)) % 0.86/1.05 (define @t111 () (not @t110)) % 0.86/1.05 (define @t112 () (tptp.ordinal @t108)) % 0.86/1.05 (define @t113 () (not @t112)) % 0.86/1.05 (define @t114 () (tptp.being_limit_ordinal @t89)) % 0.86/1.05 (define @t115 () (not @t114)) % 0.86/1.05 (define @t116 () (or @t115 @t113 @t111)) % 0.86/1.05 (define @t117 () (forall @t30 (or @t76 (not (= @t51 @t89))))) % 0.86/1.05 (define @t118 () (not @t117)) % 0.86/1.05 (define @t119 () (or @t114 @t118)) % 0.86/1.05 (define @t120 () (and @t119 @t116)) % 0.86/1.05 (define @t121 () (tptp.ordinal @t89)) % 0.86/1.05 (define @t122 () (not @t121)) % 0.86/1.05 (define @t123 () (or @t122 @t120)) % 0.86/1.05 (define @t124 () (not @t123)) % 0.86/1.05 (define @t125 () (not @t88)) % 0.86/1.05 (define @t126 () (not (= @t89 @t51))) % 0.86/1.05 (define @t127 () (or @t76 @t126)) % 0.86/1.05 (define @t128 () (forall @t30 @t127)) % 0.86/1.05 (define @t129 () (not @t128)) % 0.86/1.05 (define @t130 () (or @t114 @t129)) % 0.86/1.05 (define @t131 () (and @t130 @t116)) % 0.86/1.05 (define @t132 () (or @t122 @t131)) % 0.86/1.05 (define @t133 () (not @t132)) % 0.86/1.05 (define @t134 () (@list true)) % 0.86/1.05 (define @t135 () (@list @t123)) % 0.86/1.05 (define @t136 () (forall @t30 (or @t76 (not (tptp.in @t2 @t89)) (tptp.in @t51 @t89)))) % 0.86/1.05 (define @t137 () (= @t114 @t136)) % 0.86/1.05 (define @t138 () (or @t122 @t137)) % 0.86/1.05 (define @t139 () (not @t137)) % 0.86/1.05 (define @t140 () (not @t136)) % 0.86/1.05 (define @t141 () (@list @t108)) % 0.86/1.05 (define @t142 () (tptp.in @t109 @t89)) % 0.86/1.05 (define @t143 () (tptp.in @t108 @t89)) % 0.86/1.05 (define @t144 () (not @t143)) % 0.86/1.05 (define @t145 () (or @t113 @t144 @t142)) % 0.86/1.05 (define @t146 () (tptp.in @t108 @t109)) % 0.86/1.05 (define @t147 () (and @t110 @t146)) % 0.86/1.05 (define @t148 () (tptp.in @t89 @t89)) % 0.86/1.05 (define @t149 () (not @t148)) % 0.86/1.05 (define @t150 () (or @t149 @t149)) % 0.86/1.05 (define @t151 () (forall @t6 (or (not @t5) @t4))) % 0.86/1.05 (define @t152 () (@list false)) % 0.86/1.05 (define @t153 () (not @t142)) % 0.86/1.05 (define @t154 () (and @t110 @t149)) % 0.86/1.05 (define @t155 () (@list true false)) % 0.86/1.05 (define @t156 () (@quantifiers_skolemize @t136 0)) % 0.86/1.05 (define @t157 () (tptp.succ @t156)) % 0.86/1.05 (define @t158 () (tptp.in @t157 @t89)) % 0.86/1.05 (define @t159 () (tptp.in @t156 @t89)) % 0.86/1.05 (define @t160 () (not @t159)) % 0.86/1.05 (define @t161 () (tptp.ordinal @t156)) % 0.86/1.05 (define @t162 () (not @t161)) % 0.86/1.05 (define @t163 () (or @t162 @t160 @t158)) % 0.86/1.05 (define @t164 () (not @t163)) % 0.86/1.05 (define @t165 () (@list @t156)) % 0.86/1.05 (define @t166 () (tptp.ordinal @t157)) % 0.86/1.05 (define @t167 () (tptp.epsilon_transitive @t157)) % 0.86/1.05 (define @t168 () (and (not (tptp.empty @t157)) @t167 (tptp.epsilon_connected @t157) @t166)) % 0.86/1.05 (define @t169 () (or @t162 @t168)) % 0.86/1.05 (define @t170 () (not @t168)) % 0.86/1.05 (define @t171 () (@var "BOUND_VARIABLE_7844" $$unsorted)) % 0.86/1.05 (define @t172 () (= (tptp.in @t1 @t171) (tptp.ordinal_subset @t26 @t171))) % 0.86/1.05 (define @t173 () (not (tptp.ordinal @t171))) % 0.86/1.05 (define @t174 () (or @t173 @t172)) % 0.86/1.05 (define @t175 () (or @t86 @t174)) % 0.86/1.05 (define @t176 () (forall (@list @t1 @t171) @t175)) % 0.86/1.05 (define @t177 () (@list @t171)) % 0.86/1.05 (define @t178 () (forall @t177 @t175)) % 0.86/1.05 (define @t179 () (forall @t177 @t174)) % 0.86/1.05 (define @t180 () (or @t86 @t179)) % 0.86/1.05 (define @t181 () (forall @t30 (or @t76 @t47))) % 0.86/1.05 (define @t182 () (tptp.ordinal_subset @t157 @t89)) % 0.86/1.05 (define @t183 () (= @t159 @t182)) % 0.86/1.05 (define @t184 () (or @t162 @t122 @t183)) % 0.86/1.05 (define @t185 () (= @t89 @t157)) % 0.86/1.05 (define @t186 () (not @t185)) % 0.86/1.05 (define @t187 () (or @t162 @t186)) % 0.86/1.05 (define @t188 () (not @t187)) % 0.86/1.05 (define @t189 () (@var "BOUND_VARIABLE_7820" $$unsorted)) % 0.86/1.05 (define @t190 () (tptp.in @t1 @t189)) % 0.86/1.05 (define @t191 () (not (tptp.proper_subset @t1 @t189))) % 0.86/1.05 (define @t192 () (not (tptp.ordinal @t189))) % 0.86/1.05 (define @t193 () (not @t13)) % 0.86/1.05 (define @t194 () (or @t192 @t191 @t190)) % 0.86/1.05 (define @t195 () (or @t193 @t194)) % 0.86/1.05 (define @t196 () (forall (@list @t1 @t189) @t195)) % 0.86/1.05 (define @t197 () (@list @t189)) % 0.86/1.05 (define @t198 () (forall @t197 @t195)) % 0.86/1.05 (define @t199 () (forall @t197 @t194)) % 0.86/1.05 (define @t200 () (or @t193 @t199)) % 0.86/1.05 (define @t201 () (not @t8)) % 0.86/1.05 (define @t202 () (or @t76 @t201 @t5)) % 0.86/1.05 (define @t203 () (forall @t30 @t202)) % 0.86/1.05 (define @t204 () (@list @t157 @t89)) % 0.86/1.05 (define @t205 () (tptp.proper_subset @t157 @t89)) % 0.86/1.05 (define @t206 () (not @t205)) % 0.86/1.05 (define @t207 () (not @t167)) % 0.86/1.05 (define @t208 () (or @t207 @t122 @t206 @t158)) % 0.86/1.05 (define @t209 () (tptp.subset @t157 @t89)) % 0.86/1.05 (define @t210 () (= @t182 @t209)) % 0.86/1.05 (define @t211 () (not @t210)) % 0.86/1.05 (define @t212 () (not (= @t157 @t89))) % 0.86/1.05 (define @t213 () (and @t209 @t212)) % 0.86/1.05 (define @t214 () (= @t205 @t213)) % 0.86/1.05 (define @t215 () (and @t209 @t186)) % 0.86/1.05 (define @t216 () (= @t205 @t215)) % 0.86/1.05 (define @t217 () (not @t209)) % 0.86/1.05 (define @t218 () (not @t166)) % 0.86/1.05 (define @t219 () (or @t218 @t122 @t210)) % 0.86/1.05 (define @t220 () (or @t162 @t212)) % 0.86/1.05 (assume @p1 @t7) % 0.86/1.05 (assume @p2 (forall @t6 (=> @t8 (not (tptp.proper_subset @t2 @t1))))) % 0.86/1.05 (assume @p3 (forall @t11 (=> @t10 @t9))) % 0.86/1.05 (assume @p4 (forall @t11 (=> @t15 @t14))) % 0.86/1.05 (assume @p5 (forall @t11 (=> @t10 @t16))) % 0.86/1.05 (assume @p6 (forall @t11 (=> @t19 @t18))) % 0.86/1.05 (assume @p7 (forall @t11 (=> @t14 @t15))) % 0.86/1.05 (assume @p8 (forall @t11 (=> @t10 @t20))) % 0.86/1.05 (assume @p9 (forall @t6 (= @t22 @t21))) % 0.86/1.05 (assume @p10 (forall @t6 (=> @t25 (or @t23 (tptp.ordinal_subset @t2 @t1))))) % 0.86/1.05 (assume @p11 (forall @t11 (= @t26 (tptp.set_union2 @t1 (tptp.singleton @t1))))) % 0.86/1.05 (assume @p12 @t29) % 0.86/1.05 (assume @p13 (forall @t11 (exists @t30 (tptp.element @t2 @t1)))) % 0.86/1.05 (assume @p14 (and @t33 @t32 @t31)) % 0.86/1.05 (assume @p15 (forall @t11 @t34)) % 0.86/1.05 (assume @p16 @t33) % 0.86/1.05 (assume @p17 (and @t32 @t31 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t33 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.86/1.05 (assume @p18 (forall @t6 (=> (and @t16 (tptp.relation @t2)) (tptp.relation @t22)))) % 0.86/1.05 (assume @p19 (forall @t6 (=> @t35 (not (tptp.empty @t22))))) % 0.86/1.05 (assume @p20 @t37) % 0.86/1.05 (assume @p21 (forall @t6 (=> @t35 (not (tptp.empty @t21))))) % 0.86/1.05 (assume @p22 (and @t33 @t32)) % 0.86/1.05 (assume @p23 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.86/1.05 (assume @p24 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.86/1.05 (assume @p25 (exists @t11 (and @t16 @t9))) % 0.86/1.05 (assume @p26 (exists @t11 @t20)) % 0.86/1.05 (assume @p27 (exists @t11 (and @t10 @t16))) % 0.86/1.05 (assume @p28 (exists @t11 @t10)) % 0.86/1.05 (assume @p29 (exists @t11 @t19)) % 0.86/1.05 (assume @p30 (exists @t11 (and @t16 @t9 @t17 @t10 @t13 @t12 @t15))) % 0.86/1.05 (assume @p31 (exists @t11 (and @t35 @t16))) % 0.86/1.05 (assume @p32 (exists @t11 @t35)) % 0.86/1.05 (assume @p33 (exists @t11 @t18)) % 0.86/1.05 (assume @p34 (exists @t11 (and @t35 @t13 @t12 @t15))) % 0.86/1.05 (assume @p35 (exists @t11 (and @t16 @t38))) % 0.86/1.05 (assume @p36 (exists @t11 (and @t16 @t38 @t9))) % 0.86/1.05 (assume @p37 (exists @t11 (and @t16 (tptp.relation_non_empty @t1) @t9))) % 0.86/1.05 (assume @p38 @t40) % 0.86/1.05 (assume @p39 (forall @t6 (=> @t25 (tptp.ordinal_subset @t1 @t1)))) % 0.86/1.05 (assume @p40 (forall @t6 (tptp.subset @t1 @t1))) % 0.86/1.05 (assume @p41 (forall @t11 (tptp.in @t1 @t26))) % 0.86/1.05 (assume @p42 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.86/1.05 (assume @p43 (forall 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(@p276) :args ((or @t161 @t163))) % 0.86/1.05 (step @p278 :rule bool-double-not-elim :args (@t159)) % 0.86/1.05 (step @p279 :rule nary_cong :premises (@p273 @p278) :args ((or @t163 (not @t160)))) % 0.86/1.05 (step @p280 :rule cnf_or_neg :args (@t163 1)) % 0.86/1.05 (step @p281 :rule eq_resolve :premises (@p280 @p279)) % 0.86/1.05 (step @p282 :rule reordering :premises (@p281) :args ((or @t159 @t163))) % 0.86/1.05 (step @p283 :rule cnf_or_neg :args (@t163 2)) % 0.86/1.05 (step @p284 :rule bool-impl-elim :args (@t15 @t36)) % 0.86/1.05 (step @p285 :rule cong :premises (@p284) :args (@t37)) % 0.86/1.05 (step @p286 :rule eq_resolve :premises (@p20 @p285)) % 0.86/1.05 (step @p287 :rule instantiate :premises (@p286) :args (@t165)) % 0.86/1.05 (step @p288 :rule cnf_or_pos :args (@t169)) % 0.86/1.05 (step @p289 :rule reordering :premises (@p288) :args ((or @t162 @t168 (not @t169)))) % 0.86/1.05 (step @p290 :rule cnf_or_pos :args (@t163)) % 0.86/1.05 (step @p291 :rule reordering :premises (@p290) :args ((or @t162 @t160 @t158 @t164))) % 0.86/1.05 (step @p292 :rule cnf_and_pos :args (@t168 3)) % 0.86/1.05 (step @p293 :rule reordering :premises (@p292) :args ((or @t166 @t170))) % 0.86/1.05 (step @p294 :rule aci_norm :args ((= @t175 (or @t86 @t173 @t172)))) % 0.86/1.05 (step @p295 :rule cong :premises (@p294) :args (@t176)) % 0.86/1.05 (step @p296 :rule quant-merge-prenex :args ((= (forall @t11 @t178) @t176))) % 0.86/1.05 (step @p297 :rule alpha_equiv :args (@t179 (@list @t171) @t98)) % 0.86/1.05 (step @p298 :rule nary_cong :premises (@p90 @p297) :args (@t180)) % 0.86/1.05 (step @p299 :rule quant-miniscope-or :args ((= @t178 @t180))) % 0.86/1.05 (step @p300 :rule trans :premises (@p299 @p298)) % 0.86/1.05 (step @p301 :rule symm :premises (@p300)) % 0.86/1.05 (step @p302 :rule cong :premises (@p301) :args ((forall @t11 (or @t86 @t181)))) % 0.86/1.05 (step @p303 :rule trans :premises (@p302 @p296)) % 0.86/1.05 (step @p304 :rule trans :premises (@p303 @p295)) % 0.86/1.05 (step @p305 :rule bool-impl-elim :args (@t15 @t181)) % 0.86/1.05 (step @p306 :rule cong :premises (@p305) :args ((forall @t11 (=> @t15 @t181)))) % 0.86/1.05 (step @p307 :rule trans :premises (@p306 @p304)) % 0.86/1.05 (step @p308 :rule bool-impl-elim :args (@t24 @t47)) % 0.86/1.05 (step @p309 :rule cong :premises (@p308) :args (@t48)) % 0.86/1.05 (step @p310 :rule cong :premises (@p68 @p309) :args (@t49)) % 0.86/1.05 (step @p311 :rule cong :premises (@p310) :args (@t50)) % 0.86/1.05 (step @p312 :rule trans :premises (@p311 @p307)) % 0.86/1.05 (step @p313 :rule eq_resolve :premises (@p46 @p312)) % 0.86/1.05 (step @p314 :rule instantiate :premises (@p313) :args ((@list @t156 @t89))) % 0.86/1.05 (step @p315 :rule cnf_or_pos :args (@t184)) % 0.86/1.05 (step @p316 :rule reordering :premises (@p315) :args ((or @t122 @t162 @t183 (not @t184)))) % 0.86/1.05 (step @p317 :rule cnf_or_pos :args (@t187)) % 0.86/1.05 (step @p318 :rule reordering :premises (@p317) :args ((or @t162 @t186 @t188))) % 0.86/1.05 (step @p319 :rule cnf_and_pos :args (@t168 1)) % 0.86/1.05 (step @p320 :rule reordering :premises (@p319) :args ((or @t167 @t170))) % 0.86/1.05 (step @p321 :rule cnf_equiv_pos1 :args (@t183)) % 0.86/1.05 (step @p322 :rule reordering :premises (@p321) :args ((or @t160 @t182 (not @t183)))) % 0.86/1.05 (step @p323 :rule aci_norm :args ((= @t195 (or @t193 @t192 @t191 @t190)))) % 0.86/1.05 (step @p324 :rule cong :premises (@p323) :args (@t196)) % 0.86/1.05 (step @p325 :rule quant-merge-prenex :args ((= (forall @t11 @t198) @t196))) % 0.86/1.05 (step @p326 :rule alpha_equiv :args (@t199 (@list @t189) @t98)) % 0.86/1.05 (step @p327 :rule refl :args (@t193)) % 0.86/1.05 (step @p328 :rule nary_cong :premises (@p327 @p326) :args (@t200)) % 0.86/1.05 (step @p329 :rule quant-miniscope-or :args ((= @t198 @t200))) % 0.86/1.05 (step @p330 :rule trans :premises (@p329 @p328)) % 0.86/1.05 (step @p331 :rule symm :premises (@p330)) % 0.86/1.05 (step @p332 :rule cong :premises (@p331) :args ((forall @t11 (or @t193 @t203)))) % 0.86/1.05 (step @p333 :rule trans :premises (@p332 @p325)) % 0.86/1.05 (step @p334 :rule trans :premises (@p333 @p324)) % 0.86/1.05 (step @p335 :rule bool-impl-elim :args (@t13 @t203)) % 0.86/1.05 (step @p336 :rule cong :premises (@p335) :args ((forall @t11 (=> @t13 @t203)))) % 0.86/1.05 (step @p337 :rule trans :premises (@p336 @p334)) % 0.86/1.05 (step @p338 :rule aci_norm :args ((= (or @t76 (or @t201 @t5)) @t202))) % 0.86/1.05 (step @p339 :rule bool-impl-elim :args (@t8 @t5)) % 0.86/1.05 (step @p340 :rule nary_cong :premises (@p60 @p339) :args ((or @t76 @t42))) % 0.86/1.05 (step @p341 :rule trans :premises (@p340 @p338)) % 0.86/1.05 (step @p342 :rule bool-impl-elim :args (@t24 @t42)) % 0.86/1.05 (step @p343 :rule trans :premises (@p342 @p341)) % 0.86/1.05 (step @p344 :rule cong :premises (@p343) :args (@t43)) % 0.86/1.05 (step @p345 :rule refl :args (@t13)) % 0.86/1.05 (step @p346 :rule cong :premises (@p345 @p344) :args (@t44)) % 0.86/1.05 (step @p347 :rule cong :premises (@p346) :args (@t45)) % 0.86/1.05 (step @p348 :rule trans :premises (@p347 @p337)) % 0.86/1.05 (step @p349 :rule eq_resolve :premises (@p44 @p348)) % 0.86/1.05 (step @p350 :rule instantiate :premises (@p349) :args (@t204)) % 0.86/1.05 (step @p351 :rule cnf_or_pos :args (@t208)) % 0.86/1.05 (step @p352 :rule reordering :premises (@p351) :args ((or @t122 @t158 @t207 @t206 (not @t208)))) % 0.86/1.05 (step @p353 :rule cnf_equiv_pos1 :args (@t210)) % 0.86/1.05 (step @p354 :rule reordering :premises (@p353) :args ((or (not @t182) @t209 @t211))) % 0.86/1.05 (step @p355 :rule eq-symm :args (@t157 @t89)) % 0.86/1.05 (step @p356 :rule cong :premises (@p355) :args (@t212)) % 0.86/1.05 (step @p357 :rule refl :args (@t209)) % 0.86/1.05 (step @p358 :rule nary_cong :premises (@p357 @p356) :args (@t213)) % 0.86/1.05 (step @p359 :rule refl :args (@t205)) % 0.86/1.05 (step @p360 :rule cong :premises (@p359 @p358) :args (@t214)) % 0.86/1.05 (step @p361 :rule refl :args (@t29)) % 0.86/1.05 (step @p362 :rule cong :premises (@p361 @p360) :args ((=> @t29 @t214))) % 0.86/1.05 (assume-push @p437 @t29) % 0.86/1.05 (step @p364 :rule instantiate :premises (@p12) :args (@t204)) % 0.86/1.05 (step-pop @p438 :rule scope :premises (@p364)) % 0.86/1.05 (step @p365 :rule process_scope :premises (@p438) :args (@t214)) % 0.86/1.05 (step @p367 :rule eq_resolve :premises (@p365 @p362)) % 0.86/1.05 (step @p368 :rule implies_elim :premises (@p367)) % 0.86/1.05 (step @p369 :rule chain_m_resolution :premises (@p368 @p12) :args (@t216 @t152 (@list @t29))) % 0.86/1.05 (step @p370 :rule cnf_equiv_pos2 :args (@t216)) % 0.86/1.05 (step @p371 :rule reordering :premises (@p370) :args ((or @t205 (not @t215) (not @t216)))) % 0.86/1.05 (step @p372 :rule bool-double-not-elim :args (@t185)) % 0.86/1.05 (step @p373 :rule refl :args (@t217)) % 0.86/1.05 (step @p374 :rule refl :args (@t215)) % 0.86/1.05 (step @p375 :rule nary_cong :premises (@p374 @p373 @p372) :args ((or @t215 @t217 (not @t186)))) % 0.86/1.05 (step @p376 :rule cnf_and_neg :args (@t215)) % 0.86/1.05 (step @p377 :rule eq_resolve :premises (@p376 @p375)) % 0.86/1.05 (step @p378 :rule reordering :premises (@p377) :args ((or @t185 @t215 @t217))) % 0.86/1.05 (step @p379 :rule chain_m_resolution :premises (@p378 @p371 @p369 @p354 @p352 @p350 @p163 @p322 @p320 @p318 @p316 @p314 @p163 @p289 @p287 @p283 @p282 @p277) :args ((or @t163 @t188 @t211) (@list true false false true false false false false true false false false false false true false false) (@list @t215 @t216 @t209 @t205 @t208 @t121 @t182 @t167 @t185 @t183 @t184 @t121 @t168 @t169 @t158 @t159 @t161))) % 0.86/1.05 (step @p380 :rule aci_norm :args ((= (or (or @t86 @t76) @t39) (or @t86 @t76 @t39)))) % 0.86/1.05 (step @p381 :rule refl :args (@t39)) % 0.86/1.05 (step @p382 :rule bool-and-de-morgan :args (@t15 @t24 true)) % 0.86/1.05 (step @p383 :rule nary_cong :premises (@p382 @p381) :args ((or (not @t25) @t39))) % 0.86/1.05 (step @p384 :rule trans :premises (@p383 @p380)) % 0.86/1.05 (step @p385 :rule bool-impl-elim :args (@t25 @t39)) % 0.86/1.05 (step @p386 :rule trans :premises (@p385 @p384)) % 0.86/1.05 (step @p387 :rule cong :premises (@p386) :args (@t40)) % 0.86/1.05 (step @p388 :rule eq_resolve :premises (@p38 @p387)) % 0.86/1.05 (step @p389 :rule instantiate :premises (@p388) :args (@t204)) % 0.86/1.05 (step @p390 :rule cnf_or_pos :args (@t219)) % 0.86/1.05 (step @p391 :rule reordering :premises (@p390) :args ((or @t122 @t218 @t210 (not @t219)))) % 0.86/1.05 (step @p392 :rule chain_m_resolution :premises (@p391 @p389 @p163 @p379 @p293 @p291 @p289 @p287) :args ((or @t162 @t160 @t158 @t188) (@list false false true false true false false) (@list @t219 @t121 @t210 @t166 @t163 @t168 @t169))) % 0.86/1.05 (step @p393 :rule chain_m_resolution :premises (@p392 @p283 @p282 @p277) :args ((or @t163 @t188) (@list true false false) (@list @t158 @t159 @t161))) % 0.86/1.05 (step @p394 :rule chain_m_resolution :premises (@p393 @p271) :args (@t188 @t134 (@list @t163))) % 0.86/1.05 (step @p395 :rule refl :args (@t162)) % 0.86/1.05 (step @p396 :rule nary_cong :premises (@p395 @p356) :args (@t220)) % 0.86/1.05 (step @p397 :rule refl :args (@t117)) % 0.86/1.05 (step @p398 :rule cong :premises (@p397 @p396) :args ((=> @t117 @t220))) % 0.86/1.05 (assume-push @p439 @t117) % 0.86/1.05 (step @p400 :rule instantiate :premises (@p439) :args (@t165)) % 0.86/1.05 (step-pop @p440 :rule scope :premises (@p400)) % 0.86/1.05 (step @p401 :rule process_scope :premises (@p440) :args (@t220)) % 0.86/1.05 (step @p403 :rule eq_resolve :premises (@p401 @p398)) % 0.86/1.05 (step @p404 :rule implies_elim :premises (@p403)) % 0.86/1.05 (step @p405 :rule chain_m_resolution :premises (@p404 @p394) :args (@t118 @t134 (@list @t187))) % 0.86/1.05 (step @p406 :rule bool-double-not-elim :args (@t117)) % 0.86/1.05 (step @p407 :rule refl :args (@t119)) % 0.86/1.05 (step @p408 :rule nary_cong :premises (@p407 @p406) :args ((or @t119 (not @t118)))) % 0.86/1.05 (step @p409 :rule cnf_or_neg :args (@t119 1)) % 0.86/1.05 (step @p410 :rule eq_resolve :premises (@p409 @p408)) % 0.86/1.05 (step @p411 :rule reordering :premises (@p410) :args ((or @t117 @t119))) % 0.86/1.05 (step @p412 false :rule chain_m_resolution :premises (@p411 @p405 @p261) :args (false (@list true true) (@list @t117 @t119))) % 0.86/1.05 ) % 0.86/1.05 % SZS output end Proof % 0.86/1.05 % cvc5 exiting %------------------------------------------------------------------------------