%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU215+3 : 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 : n007.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 08:50:58 AM UTC 2026 % Result : Theorem 15.90s 16.93s % Output : Proof 15.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU215+3 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n007.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 16:39:56 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 15.90/16.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.90/16.93 --- Run --no-e-matching --full-saturate-quant at 6... % 15.90/16.93 % SZS status Theorem % 15.90/16.93 % SZS output start Proof % 15.90/16.93 ( % 15.90/16.93 (declare-sort $$unsorted 0) % 15.90/16.93 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.90/16.93 (declare-const tptp.empty_set $$unsorted) % 15.90/16.93 (declare-const tptp.function (-> $$unsorted Bool)) % 15.90/16.93 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 15.90/16.93 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.90/16.93 (declare-const tptp.relation (-> $$unsorted Bool)) % 15.90/16.93 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.90/16.93 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 15.90/16.93 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 15.90/16.93 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 15.90/16.93 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 15.90/16.93 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.90/16.93 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.90/16.93 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.90/16.93 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 15.90/16.93 (define @t1 () (@var "A" $$unsorted)) % 15.90/16.93 (define @t2 () (@var "B" $$unsorted)) % 15.90/16.93 (define @t3 () (tptp.in @t1 @t2)) % 15.90/16.93 (define @t4 () (@list @t1 @t2)) % 15.90/16.93 (define @t5 () (tptp.function @t1)) % 15.90/16.93 (define @t6 () (tptp.empty @t1)) % 15.90/16.93 (define @t7 () (@list @t1)) % 15.90/16.93 (define @t8 () (tptp.relation @t1)) % 15.90/16.93 (define @t9 () (tptp.unordered_pair @t1 @t2)) % 15.90/16.93 (define @t10 () (@var "C" $$unsorted)) % 15.90/16.93 (define @t11 () (= @t10 (tptp.apply @t1 @t2))) % 15.90/16.93 (define @t12 () (= @t11 (= @t10 tptp.empty_set))) % 15.90/16.93 (define @t13 () (tptp.relation_dom @t1)) % 15.90/16.93 (define @t14 () (tptp.in @t2 @t13)) % 15.90/16.93 (define @t15 () (not @t14)) % 15.90/16.93 (define @t16 () (=> @t15 @t12)) % 15.90/16.93 (define @t17 () (= @t11 (tptp.in (tptp.ordered_pair @t2 @t10) @t1))) % 15.90/16.93 (define @t18 () (=> @t14 @t17)) % 15.90/16.93 (define @t19 () (and @t18 @t16)) % 15.90/16.93 (define @t20 () (@list @t2 @t10)) % 15.90/16.93 (define @t21 () (forall @t20 @t19)) % 15.90/16.93 (define @t22 () (and @t8 @t5)) % 15.90/16.93 (define @t23 () (=> @t22 @t21)) % 15.90/16.93 (define @t24 () (forall @t7 @t23)) % 15.90/16.93 (define @t25 () (tptp.singleton @t1)) % 15.90/16.93 (define @t26 () (tptp.ordered_pair @t1 @t2)) % 15.90/16.93 (define @t27 () (tptp.relation_composition @t1 @t2)) % 15.90/16.93 (define @t28 () (tptp.relation @t27)) % 15.90/16.93 (define @t29 () (tptp.relation @t2)) % 15.90/16.93 (define @t30 () (@list @t2)) % 15.90/16.93 (define @t31 () (tptp.relation_composition @t2 @t1)) % 15.90/16.93 (define @t32 () (and @t6 @t29)) % 15.90/16.93 (define @t33 () (tptp.relation tptp.empty_set)) % 15.90/16.93 (define @t34 () (tptp.empty tptp.empty_set)) % 15.90/16.93 (define @t35 () (and @t28 (tptp.function @t27))) % 15.90/16.93 (define @t36 () (tptp.function @t2)) % 15.90/16.93 (define @t37 () (and @t8 @t5 @t29 @t36)) % 15.90/16.93 (define @t38 () (forall @t4 (=> @t37 @t35))) % 15.90/16.93 (define @t39 () (tptp.powerset @t1)) % 15.90/16.93 (define @t40 () (tptp.empty @t13)) % 15.90/16.93 (define @t41 () (not @t6)) % 15.90/16.93 (define @t42 () (and @t41 @t8)) % 15.90/16.93 (define @t43 () (and @t6 @t8)) % 15.90/16.93 (define @t44 () (exists @t7 @t43)) % 15.90/16.93 (define @t45 () (tptp.empty @t2)) % 15.90/16.93 (define @t46 () (tptp.element @t2 @t39)) % 15.90/16.93 (define @t47 () (tptp.element @t1 @t2)) % 15.90/16.93 (define @t48 () (tptp.relation_dom @t2)) % 15.90/16.93 (define @t49 () (tptp.apply @t10 @t1)) % 15.90/16.93 (define @t50 () (tptp.relation_composition @t10 @t2)) % 15.90/16.93 (define @t51 () (tptp.in @t1 (tptp.relation_dom @t50))) % 15.90/16.93 (define @t52 () (= @t51 (and (tptp.in @t1 (tptp.relation_dom @t10)) (tptp.in @t49 @t48)))) % 15.90/16.93 (define @t53 () (tptp.function @t10)) % 15.90/16.93 (define @t54 () (tptp.relation @t10)) % 15.90/16.93 (define @t55 () (and @t54 @t53)) % 15.90/16.93 (define @t56 () (@list @t10)) % 15.90/16.93 (define @t57 () (forall @t56 (=> @t55 @t52))) % 15.90/16.93 (define @t58 () (and @t29 @t36)) % 15.90/16.93 (define @t59 () (=> @t58 @t57)) % 15.90/16.93 (define @t60 () (forall @t4 @t59)) % 15.90/16.93 (define @t61 () (= (tptp.apply @t50 @t1) (tptp.apply @t2 @t49))) % 15.90/16.93 (define @t62 () (=> @t51 @t61)) % 15.90/16.93 (define @t63 () (forall @t56 (=> @t55 @t62))) % 15.90/16.93 (define @t64 () (=> @t58 @t63)) % 15.90/16.93 (define @t65 () (forall @t4 @t64)) % 15.90/16.93 (define @t66 () (tptp.apply @t2 @t1)) % 15.90/16.93 (define @t67 () (= (tptp.apply (tptp.relation_composition @t2 @t10) @t1) (tptp.apply @t10 @t66))) % 15.90/16.93 (define @t68 () (tptp.in @t1 @t48)) % 15.90/16.93 (define @t69 () (=> @t68 @t67)) % 15.90/16.93 (define @t70 () (forall @t56 (=> @t55 @t69))) % 15.90/16.93 (define @t71 () (=> @t58 @t70)) % 15.90/16.93 (define @t72 () (forall @t4 @t71)) % 15.90/16.93 (define @t73 () (not @t72)) % 15.90/16.93 (define @t74 () (tptp.element @t2 (tptp.powerset @t10))) % 15.90/16.93 (define @t75 () (@list @t1 @t2 @t10)) % 15.90/16.93 (define @t76 () (= @t1 tptp.empty_set)) % 15.90/16.93 (define @t77 () (forall @t7 (=> @t6 @t76))) % 15.90/16.93 (define @t78 () (not @t8)) % 15.90/16.93 (define @t79 () (@quantifiers_skolemize (forall @t7 (or @t41 @t78)) 0)) % 15.90/16.93 (define @t80 () (tptp.empty @t79)) % 15.90/16.93 (define @t81 () (not @t80)) % 15.90/16.93 (define @t82 () (or @t81 (= @t79 tptp.empty_set))) % 15.90/16.93 (define @t83 () (forall @t7 (or @t41 @t76))) % 15.90/16.93 (define @t84 () (= tptp.empty_set @t79)) % 15.90/16.93 (define @t85 () (or @t81 @t84)) % 15.90/16.93 (define @t86 () (@list false)) % 15.90/16.93 (define @t87 () (forall @t7 (not @t43))) % 15.90/16.93 (define @t88 () (not @t87)) % 15.90/16.93 (define @t89 () (or @t81 (not (tptp.relation @t79)))) % 15.90/16.93 (define @t90 () (@list true)) % 15.90/16.93 (define @t91 () (@var "BOUND_VARIABLE_7686" $$unsorted)) % 15.90/16.93 (define @t92 () (@var "BOUND_VARIABLE_7684" $$unsorted)) % 15.90/16.93 (define @t93 () (or (tptp.in @t92 @t13) (= (= @t91 (tptp.apply @t1 @t92)) (= tptp.empty_set @t91)))) % 15.90/16.93 (define @t94 () (@var "BOUND_VARIABLE_7674" $$unsorted)) % 15.90/16.93 (define @t95 () (@var "BOUND_VARIABLE_7672" $$unsorted)) % 15.90/16.93 (define @t96 () (or (not (tptp.in @t95 @t13)) (= (= @t94 (tptp.apply @t1 @t95)) (tptp.in (tptp.ordered_pair @t95 @t94) @t1)))) % 15.90/16.93 (define @t97 () (and @t96 @t93)) % 15.90/16.93 (define @t98 () (not @t5)) % 15.90/16.93 (define @t99 () (or @t78 @t98 @t97)) % 15.90/16.93 (define @t100 () (forall (@list @t1 @t95 @t94 @t92 @t91) @t99)) % 15.90/16.93 (define @t101 () (@list @t95 @t94 @t92 @t91)) % 15.90/16.93 (define @t102 () (forall @t101 @t99)) % 15.90/16.93 (define @t103 () (forall (@list @t92 @t91) @t93)) % 15.90/16.93 (define @t104 () (@var "BOUND_VARIABLE_7653" $$unsorted)) % 15.90/16.93 (define @t105 () (@var "BOUND_VARIABLE_7651" $$unsorted)) % 15.90/16.93 (define @t106 () (@list @t105 @t104)) % 15.90/16.93 (define @t107 () (forall @t101 @t93)) % 15.90/16.93 (define @t108 () (forall (@list @t95 @t94) @t96)) % 15.90/16.93 (define @t109 () (@var "BOUND_VARIABLE_7639" $$unsorted)) % 15.90/16.93 (define @t110 () (@var "BOUND_VARIABLE_7637" $$unsorted)) % 15.90/16.93 (define @t111 () (@list @t110 @t109)) % 15.90/16.93 (define @t112 () (forall @t101 @t96)) % 15.90/16.93 (define @t113 () (and @t112 @t107)) % 15.90/16.93 (define @t114 () (forall @t101 @t97)) % 15.90/16.93 (define @t115 () (or @t78 @t98 @t114)) % 15.90/16.93 (define @t116 () (and (forall (@list @t110 @t109) (or (not (tptp.in @t110 @t13)) (= (= @t109 (tptp.apply @t1 @t110)) (tptp.in (tptp.ordered_pair @t110 @t109) @t1)))) (forall (@list @t105 @t104) (or (tptp.in @t105 @t13) (= (= @t104 (tptp.apply @t1 @t105)) (= tptp.empty_set @t104)))))) % 15.90/16.93 (define @t117 () (or @t78 @t98 @t116)) % 15.90/16.93 (define @t118 () (= @t11 (= tptp.empty_set @t10))) % 15.90/16.93 (define @t119 () (or @t14 @t118)) % 15.90/16.93 (define @t120 () (forall @t20 @t119)) % 15.90/16.93 (define @t121 () (@list @t2 @t10)) % 15.90/16.93 (define @t122 () (or @t15 @t17)) % 15.90/16.93 (define @t123 () (forall @t20 @t122)) % 15.90/16.93 (define @t124 () (and @t123 @t120)) % 15.90/16.93 (define @t125 () (and @t18 (=> @t15 @t118))) % 15.90/16.93 (define @t126 () (@var "BOUND_VARIABLE_7865" $$unsorted)) % 15.90/16.93 (define @t127 () (= (tptp.apply (tptp.relation_composition @t2 @t126) @t1) (tptp.apply @t126 @t66))) % 15.90/16.93 (define @t128 () (not (tptp.function @t126))) % 15.90/16.93 (define @t129 () (not (tptp.relation @t126))) % 15.90/16.93 (define @t130 () (not @t68)) % 15.90/16.93 (define @t131 () (not @t36)) % 15.90/16.93 (define @t132 () (not @t29)) % 15.90/16.93 (define @t133 () (or @t132 @t131 @t130 @t129 @t128 @t127)) % 15.90/16.93 (define @t134 () (@list @t1 @t2 @t126)) % 15.90/16.93 (define @t135 () (forall @t134 @t133)) % 15.90/16.93 (define @t136 () (@quantifiers_skolemize @t135 0)) % 15.90/16.93 (define @t137 () (@quantifiers_skolemize @t135 1)) % 15.90/16.93 (define @t138 () (tptp.apply @t137 @t136)) % 15.90/16.93 (define @t139 () (@quantifiers_skolemize @t135 2)) % 15.90/16.93 (define @t140 () (tptp.apply @t139 @t138)) % 15.90/16.93 (define @t141 () (= tptp.empty_set @t140)) % 15.90/16.93 (define @t142 () (= @t140 @t140)) % 15.90/16.93 (define @t143 () (tptp.relation_dom @t139)) % 15.90/16.93 (define @t144 () (tptp.in @t138 @t143)) % 15.90/16.93 (define @t145 () (or @t144 (= @t142 @t141))) % 15.90/16.93 (define @t146 () (tptp.ordered_pair tptp.empty_set tptp.empty_set)) % 15.90/16.93 (define @t147 () (or (not (tptp.in tptp.empty_set @t143)) (= (= tptp.empty_set (tptp.apply @t139 tptp.empty_set)) (tptp.in @t146 @t139)))) % 15.90/16.93 (define @t148 () (and @t147 @t145)) % 15.90/16.93 (define @t149 () (tptp.function @t139)) % 15.90/16.93 (define @t150 () (not @t149)) % 15.90/16.93 (define @t151 () (tptp.relation @t139)) % 15.90/16.93 (define @t152 () (not @t151)) % 15.90/16.93 (define @t153 () (or @t152 @t150 @t148)) % 15.90/16.93 (define @t154 () (or @t144 @t141)) % 15.90/16.93 (define @t155 () (and @t147 @t154)) % 15.90/16.93 (define @t156 () (or @t152 @t150 @t155)) % 15.90/16.93 (define @t157 () (@list @t100)) % 15.90/16.93 (define @t158 () (or @t129 @t128 @t127)) % 15.90/16.93 (define @t159 () (or @t132 @t131 @t130 @t158)) % 15.90/16.93 (define @t160 () (forall @t134 @t159)) % 15.90/16.93 (define @t161 () (@list @t126)) % 15.90/16.93 (define @t162 () (forall @t161 @t159)) % 15.90/16.93 (define @t163 () (forall @t161 @t158)) % 15.90/16.93 (define @t164 () (@list @t10)) % 15.90/16.93 (define @t165 () (or @t132 @t131 @t130 @t163)) % 15.90/16.93 (define @t166 () (not @t53)) % 15.90/16.93 (define @t167 () (not @t54)) % 15.90/16.93 (define @t168 () (or @t167 @t166 @t67)) % 15.90/16.93 (define @t169 () (forall @t56 @t168)) % 15.90/16.93 (define @t170 () (or @t132 @t131 @t130 @t169)) % 15.90/16.93 (define @t171 () (or @t130 @t169)) % 15.90/16.93 (define @t172 () (or @t132 @t131)) % 15.90/16.93 (define @t173 () (not @t58)) % 15.90/16.93 (define @t174 () (or @t130 @t168)) % 15.90/16.93 (define @t175 () (or @t167 @t166 @t130 @t67)) % 15.90/16.93 (define @t176 () (or @t167 @t166)) % 15.90/16.93 (define @t177 () (not @t55)) % 15.90/16.93 (define @t178 () (tptp.relation_composition @t137 @t139)) % 15.90/16.93 (define @t179 () (tptp.apply @t178 @t136)) % 15.90/16.93 (define @t180 () (= @t179 @t140)) % 15.90/16.93 (define @t181 () (tptp.in @t136 (tptp.relation_dom @t137))) % 15.90/16.93 (define @t182 () (not @t181)) % 15.90/16.93 (define @t183 () (tptp.function @t137)) % 15.90/16.93 (define @t184 () (not @t183)) % 15.90/16.93 (define @t185 () (tptp.relation @t137)) % 15.90/16.93 (define @t186 () (not @t185)) % 15.90/16.93 (define @t187 () (or @t186 @t184 @t182 @t152 @t150 @t180)) % 15.90/16.93 (define @t188 () (@list @t187)) % 15.90/16.93 (define @t189 () (@list false false false)) % 15.90/16.93 (define @t190 () (@var "BOUND_VARIABLE_7803" $$unsorted)) % 15.90/16.93 (define @t191 () (= (tptp.in @t1 (tptp.relation_dom (tptp.relation_composition @t190 @t2))) (and (tptp.in @t1 (tptp.relation_dom @t190)) (tptp.in (tptp.apply @t190 @t1) @t48)))) % 15.90/16.93 (define @t192 () (not (tptp.function @t190))) % 15.90/16.93 (define @t193 () (not (tptp.relation @t190))) % 15.90/16.93 (define @t194 () (or @t193 @t192 @t191)) % 15.90/16.93 (define @t195 () (or @t132 @t131 @t194)) % 15.90/16.93 (define @t196 () (forall (@list @t1 @t2 @t190) @t195)) % 15.90/16.93 (define @t197 () (@list @t190)) % 15.90/16.93 (define @t198 () (forall @t197 @t195)) % 15.90/16.93 (define @t199 () (forall @t197 @t194)) % 15.90/16.93 (define @t200 () (or @t132 @t131 @t199)) % 15.90/16.93 (define @t201 () (or @t167 @t166 @t52)) % 15.90/16.93 (define @t202 () (forall @t56 @t201)) % 15.90/16.93 (define @t203 () (or @t132 @t131 @t202)) % 15.90/16.93 (define @t204 () (@list @t136 @t139 @t137)) % 15.90/16.93 (define @t205 () (and @t181 @t144)) % 15.90/16.93 (define @t206 () (tptp.relation_dom @t178)) % 15.90/16.93 (define @t207 () (tptp.in @t136 @t206)) % 15.90/16.93 (define @t208 () (= @t207 @t205)) % 15.90/16.93 (define @t209 () (or @t152 @t150 @t186 @t184 @t208)) % 15.90/16.93 (define @t210 () (@list false false false false false)) % 15.90/16.93 (define @t211 () (@var "BOUND_VARIABLE_7833" $$unsorted)) % 15.90/16.93 (define @t212 () (tptp.relation_composition @t211 @t2)) % 15.90/16.93 (define @t213 () (= (tptp.apply @t212 @t1) (tptp.apply @t2 (tptp.apply @t211 @t1)))) % 15.90/16.93 (define @t214 () (not (tptp.in @t1 (tptp.relation_dom @t212)))) % 15.90/16.93 (define @t215 () (not (tptp.function @t211))) % 15.90/16.93 (define @t216 () (not (tptp.relation @t211))) % 15.90/16.93 (define @t217 () (or @t216 @t215 @t214 @t213)) % 15.90/16.93 (define @t218 () (or @t132 @t131 @t217)) % 15.90/16.93 (define @t219 () (forall (@list @t1 @t2 @t211) @t218)) % 15.90/16.93 (define @t220 () (@list @t211)) % 15.90/16.93 (define @t221 () (forall @t220 @t218)) % 15.90/16.93 (define @t222 () (forall @t220 @t217)) % 15.90/16.93 (define @t223 () (or @t132 @t131 @t222)) % 15.90/16.93 (define @t224 () (not @t51)) % 15.90/16.93 (define @t225 () (or @t167 @t166 @t224 @t61)) % 15.90/16.93 (define @t226 () (forall @t56 @t225)) % 15.90/16.93 (define @t227 () (or @t132 @t131 @t226)) % 15.90/16.93 (define @t228 () (not @t207)) % 15.90/16.93 (define @t229 () (or @t152 @t150 @t186 @t184 @t228 @t180)) % 15.90/16.93 (define @t230 () (not @t205)) % 15.90/16.93 (define @t231 () (@list true false)) % 15.90/16.93 (define @t232 () (not @t144)) % 15.90/16.93 (define @t233 () (= tptp.empty_set @t179)) % 15.90/16.93 (define @t234 () (= @t179 @t179)) % 15.90/16.93 (define @t235 () (or @t207 (= @t234 @t233))) % 15.90/16.93 (define @t236 () (or (not (tptp.in tptp.empty_set @t206)) (= (= tptp.empty_set (tptp.apply @t178 tptp.empty_set)) (tptp.in @t146 @t178)))) % 15.90/16.93 (define @t237 () (and @t236 @t235)) % 15.90/16.93 (define @t238 () (tptp.function @t178)) % 15.90/16.93 (define @t239 () (not @t238)) % 15.90/16.93 (define @t240 () (tptp.relation @t178)) % 15.90/16.93 (define @t241 () (not @t240)) % 15.90/16.93 (define @t242 () (or @t241 @t239 @t237)) % 15.90/16.93 (define @t243 () (or @t207 @t233)) % 15.90/16.93 (define @t244 () (and @t236 @t243)) % 15.90/16.93 (define @t245 () (or @t241 @t239 @t244)) % 15.90/16.93 (define @t246 () (or @t78 @t98 @t132 @t131)) % 15.90/16.93 (define @t247 () (and @t240 @t238)) % 15.90/16.93 (define @t248 () (or @t186 @t184 @t152 @t150 @t247)) % 15.90/16.93 (define @t249 () (not @t247)) % 15.90/16.93 (define @t250 () (@list @t247)) % 15.90/16.93 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 15.90/16.93 (assume @p2 (forall @t7 (=> @t6 @t5))) % 15.90/16.93 (assume @p3 (forall @t7 (=> @t6 @t8))) % 15.90/16.93 (assume @p4 (forall @t4 (= @t9 (tptp.unordered_pair @t2 @t1)))) % 15.90/16.93 (assume @p5 @t24) % 15.90/16.93 (assume @p6 (forall @t4 (= @t26 (tptp.unordered_pair @t9 @t25)))) % 15.90/16.93 (assume @p7 (forall @t4 (=> (and @t8 @t29) @t28))) % 15.90/16.93 (assume @p8 (forall @t7 (exists @t30 (tptp.element @t2 @t1)))) % 15.90/16.93 (assume @p9 (forall @t4 (=> @t32 (and (tptp.empty @t31) (tptp.relation @t31))))) % 15.90/16.93 (assume @p10 (and @t34 @t33 (tptp.relation_empty_yielding tptp.empty_set))) % 15.90/16.93 (assume @p11 @t38) % 15.90/16.93 (assume @p12 (forall @t7 (not (tptp.empty @t39)))) % 15.90/16.93 (assume @p13 @t34) % 15.90/16.93 (assume @p14 (forall @t4 (not (tptp.empty @t26)))) % 15.90/16.93 (assume @p15 (forall @t7 (not (tptp.empty @t25)))) % 15.90/16.93 (assume @p16 (forall @t4 (not (tptp.empty @t9)))) % 15.90/16.93 (assume @p17 (and @t34 @t33)) % 15.90/16.93 (assume @p18 (forall @t7 (=> @t42 (not @t40)))) % 15.90/16.93 (assume @p19 (forall @t7 (=> @t6 (and @t40 (tptp.relation @t13))))) % 15.90/16.93 (assume @p20 (forall @t4 (=> @t32 (and (tptp.empty @t27) @t28)))) % 15.90/16.93 (assume @p21 (exists @t7 @t22)) % 15.90/16.93 (assume @p22 @t44) % 15.90/16.93 (assume @p23 (forall @t7 (=> @t41 (exists @t30 (and @t46 (not @t45)))))) % 15.90/16.93 (assume @p24 (exists @t7 @t6)) % 15.90/16.93 (assume @p25 (exists @t7 @t42)) % 15.90/16.93 (assume @p26 (forall @t7 (exists @t30 (and @t46 @t45)))) % 15.90/16.93 (assume @p27 (exists @t7 @t41)) % 15.90/16.93 (assume @p28 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 15.90/16.93 (assume @p29 (forall @t4 (tptp.subset @t1 @t1))) % 15.90/16.93 (assume @p30 (forall @t4 (=> @t3 @t47))) % 15.90/16.93 (assume @p31 @t60) % 15.90/16.93 (assume @p32 @t65) % 15.90/16.93 (assume @p33 @t73) % 15.90/16.93 (assume @p34 (forall @t4 (=> @t47 (or @t45 @t3)))) % 15.90/16.93 (assume @p35 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 15.90/16.93 (assume @p36 (forall @t75 (=> (and @t3 @t74) (tptp.element @t1 @t10)))) % 15.90/16.93 (assume @p37 (forall @t75 (not (and @t3 @t74 (tptp.empty @t10))))) % 15.90/16.93 (assume @p38 @t77) % 15.90/16.93 (assume @p39 (forall @t4 (not (and @t3 @t45)))) % 15.90/16.93 (assume @p40 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t45)))) % 15.90/16.93 (assume @p41 true) % 15.90/16.93 (step @p42 :rule evaluate :args ((= false true))) % 15.90/16.93 (step @p43 :rule bool-impl-elim :args (@t6 @t76)) % 15.90/16.93 (step @p44 :rule cong :premises (@p43) :args (@t77)) % 15.90/16.93 (step @p45 :rule eq_resolve :premises (@p38 @p44)) % 15.90/16.93 (step @p46 :rule eq-symm :args (@t79 tptp.empty_set)) % 15.90/16.93 (step @p47 :rule refl :args (@t81)) % 15.90/16.93 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t82)) % 15.90/16.93 (step @p49 :rule refl :args (@t83)) % 15.90/16.93 (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t83 @t82))) % 15.90/16.93 (assume-push @p379 @t83) % 15.90/16.93 (step @p52 :rule instantiate :premises (@p45) :args ((@list @t79))) % 15.90/16.93 (step-pop @p380 :rule scope :premises (@p52)) % 15.90/16.93 (step @p53 :rule process_scope :premises (@p380) :args (@t82)) % 15.90/16.93 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 15.90/16.93 (step @p56 :rule implies_elim :premises (@p55)) % 15.90/16.93 (step @p57 :rule chain_m_resolution :premises (@p56 @p45) :args (@t85 @t86 (@list @t83))) % 15.90/16.93 (step @p58 :rule bool-and-de-morgan :args (@t6 @t8 true)) % 15.90/16.93 (step @p59 :rule cong :premises (@p58) :args (@t87)) % 15.90/16.93 (step @p60 :rule cong :premises (@p59) :args (@t88)) % 15.90/16.93 (step @p61 :rule exists-elim :args ((= @t44 @t88))) % 15.90/16.93 (step @p62 :rule trans :premises (@p61 @p60)) % 15.90/16.93 (step @p63 :rule eq_resolve :premises (@p22 @p62)) % 15.90/16.93 (step @p64 :rule skolemize :premises (@p63)) % 15.90/16.93 (step @p65 :rule bool-double-not-elim :args (@t80)) % 15.90/16.93 (step @p66 :rule refl :args (@t89)) % 15.90/16.93 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t89 (not @t81)))) % 15.90/16.93 (step @p68 :rule cnf_or_neg :args (@t89 0)) % 15.90/16.93 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 15.90/16.93 (step @p70 :rule reordering :premises (@p69) :args ((or @t80 @t89))) % 15.90/16.93 (step @p71 :rule chain_m_resolution :premises (@p70 @p64) :args (@t80 @t90 (@list @t89))) % 15.90/16.93 (step @p72 :rule cnf_or_pos :args (@t85)) % 15.90/16.93 (step @p73 :rule reordering :premises (@p72) :args ((or @t81 @t84 (not @t85)))) % 15.90/16.93 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p57) :args (@t84 (@list false false) (@list @t80 @t85))) % 15.90/16.93 (step @p75 :rule quant-merge-prenex :args ((= (forall @t7 @t102) @t100))) % 15.90/16.93 (step @p76 :rule alpha_equiv :args (@t103 (@list @t92 @t91) @t106)) % 15.90/16.93 (step @p77 :rule quant-unused-vars :args ((= @t107 @t103))) % 15.90/16.93 (step @p78 :rule trans :premises (@p77 @p76)) % 15.90/16.93 (step @p79 :rule alpha_equiv :args (@t108 (@list @t95 @t94) @t111)) % 15.90/16.93 (step @p80 :rule quant-unused-vars :args ((= @t112 @t108))) % 15.90/16.93 (step @p81 :rule trans :premises (@p80 @p79)) % 15.90/16.93 (step @p82 :rule nary_cong :premises (@p81 @p78) :args (@t113)) % 15.90/16.93 (step @p83 :rule quant-miniscope-and :args ((= @t114 @t113))) % 15.90/16.93 (step @p84 :rule trans :premises (@p83 @p82)) % 15.90/16.93 (step @p85 :rule refl :args (@t98)) % 15.90/16.93 (step @p86 :rule refl :args (@t78)) % 15.90/16.93 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args (@t115)) % 15.90/16.93 (step @p88 :rule quant-miniscope-or :args ((= @t102 @t115))) % 15.90/16.93 (step @p89 :rule trans :premises (@p88 @p87)) % 15.90/16.93 (step @p90 :rule symm :premises (@p89)) % 15.90/16.93 (step @p91 :rule cong :premises (@p90) :args ((forall @t7 @t117))) % 15.90/16.93 (step @p92 :rule trans :premises (@p91 @p75)) % 15.90/16.93 (step @p93 :rule aci_norm :args ((= (or (or @t78 @t98) @t116) @t117))) % 15.90/16.93 (step @p94 :rule refl :args (@t116)) % 15.90/16.93 (step @p95 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 15.90/16.93 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or (not @t22) @t116))) % 15.90/16.93 (step @p97 :rule trans :premises (@p96 @p93)) % 15.90/16.93 (step @p98 :rule bool-impl-elim :args (@t22 @t116)) % 15.90/16.93 (step @p99 :rule trans :premises (@p98 @p97)) % 15.90/16.93 (step @p100 :rule cong :premises (@p99) :args ((forall @t7 (=> @t22 @t116)))) % 15.90/16.93 (step @p101 :rule trans :premises (@p100 @p92)) % 15.90/16.93 (step @p102 :rule alpha_equiv :args (@t120 @t121 @t106)) % 15.90/16.93 (step @p103 :rule alpha_equiv :args (@t123 @t121 @t111)) % 15.90/16.93 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t124)) % 15.90/16.93 (step @p105 :rule quant-miniscope-and :args ((= (forall @t20 (and @t122 @t119)) @t124))) % 15.90/16.93 (step @p106 :rule trans :premises (@p105 @p104)) % 15.90/16.93 (step @p107 :rule refl :args (@t118)) % 15.90/16.93 (step @p108 :rule bool-double-not-elim :args (@t14)) % 15.90/16.93 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t15) @t118))) % 15.90/16.93 (step @p110 :rule bool-impl-elim :args (@t15 @t118)) % 15.90/16.93 (step @p111 :rule trans :premises (@p110 @p109)) % 15.90/16.93 (step @p112 :rule bool-impl-elim :args (@t14 @t17)) % 15.90/16.93 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t125)) % 15.90/16.93 (step @p114 :rule cong :premises (@p113) :args ((forall @t20 @t125))) % 15.90/16.93 (step @p115 :rule trans :premises (@p114 @p106)) % 15.90/16.93 (step @p116 :rule eq-symm :args (@t10 tptp.empty_set)) % 15.90/16.93 (step @p117 :rule refl :args (@t11)) % 15.90/16.93 (step @p118 :rule cong :premises (@p117 @p116) :args (@t12)) % 15.90/16.93 (step @p119 :rule refl :args (@t15)) % 15.90/16.93 (step @p120 :rule cong :premises (@p119 @p118) :args (@t16)) % 15.90/16.93 (step @p121 :rule refl :args (@t18)) % 15.90/16.93 (step @p122 :rule nary_cong :premises (@p121 @p120) :args (@t19)) % 15.90/16.93 (step @p123 :rule cong :premises (@p122) :args (@t21)) % 15.90/16.93 (step @p124 :rule trans :premises (@p123 @p115)) % 15.90/16.93 (step @p125 :rule refl :args (@t22)) % 15.90/16.93 (step @p126 :rule cong :premises (@p125 @p124) :args (@t23)) % 15.90/16.93 (step @p127 :rule cong :premises (@p126) :args (@t24)) % 15.90/16.93 (step @p128 :rule trans :premises (@p127 @p101)) % 15.90/16.93 (step @p129 :rule eq_resolve :premises (@p5 @p128)) % 15.90/16.93 (step @p130 :rule bool-eq-true :args (@t141)) % 15.90/16.93 (step @p131 :rule eq-refl :args (@t140)) % 15.90/16.93 (step @p132 :rule refl :args (@t141)) % 15.90/16.93 (step @p133 :rule cong :premises (@p132 @p131) :args ((= @t141 @t142))) % 15.90/16.93 (step @p134 :rule trans :premises (@p133 @p130)) % 15.90/16.93 (step @p135 :rule eq-symm :args (@t142 @t141)) % 15.90/16.93 (step @p136 :rule trans :premises (@p135 @p134)) % 15.90/16.93 (step @p137 :rule refl :args (@t144)) % 15.90/16.93 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t145)) % 15.90/16.93 (step @p139 :rule refl :args (@t147)) % 15.90/16.93 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t148)) % 15.90/16.93 (step @p141 :rule refl :args (@t150)) % 15.90/16.93 (step @p142 :rule refl :args (@t152)) % 15.90/16.93 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140) :args (@t153)) % 15.90/16.93 (step @p144 :rule refl :args (@t100)) % 15.90/16.93 (step @p145 :rule cong :premises (@p144 @p143) :args ((=> @t100 @t153))) % 15.90/16.93 (assume-push @p381 @t100) % 15.90/16.93 (step @p147 :rule instantiate :premises (@p129) :args ((@list @t139 tptp.empty_set tptp.empty_set @t138 @t140))) % 15.90/16.93 (step-pop @p382 :rule scope :premises (@p147)) % 15.90/16.93 (step @p148 :rule process_scope :premises (@p382) :args (@t153)) % 15.90/16.93 (step @p150 :rule eq_resolve :premises (@p148 @p145)) % 15.90/16.93 (step @p151 :rule implies_elim :premises (@p150)) % 15.90/16.93 (step @p152 :rule chain_m_resolution :premises (@p151 @p129) :args (@t156 @t86 @t157)) % 15.90/16.93 (step @p153 :rule aci_norm :args ((= @t159 @t133))) % 15.90/16.93 (step @p154 :rule cong :premises (@p153) :args (@t160)) % 15.90/16.93 (step @p155 :rule quant-merge-prenex :args ((= (forall @t4 @t162) @t160))) % 15.90/16.93 (step @p156 :rule alpha_equiv :args (@t163 (@list @t126) @t164)) % 15.90/16.93 (step @p157 :rule refl :args (@t130)) % 15.90/16.93 (step @p158 :rule refl :args (@t131)) % 15.90/16.93 (step @p159 :rule refl :args (@t132)) % 15.90/16.93 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157 @p156) :args (@t165)) % 15.90/16.93 (step @p161 :rule quant-miniscope-or :args ((= @t162 @t165))) % 15.90/16.93 (step @p162 :rule trans :premises (@p161 @p160)) % 15.90/16.93 (step @p163 :rule symm :premises (@p162)) % 15.90/16.93 (step @p164 :rule cong :premises (@p163) :args ((forall @t4 @t170))) % 15.90/16.93 (step @p165 :rule trans :premises (@p164 @p155)) % 15.90/16.93 (step @p166 :rule trans :premises (@p165 @p154)) % 15.90/16.93 (step @p167 :rule aci_norm :args ((= (or @t172 @t171) @t170))) % 15.90/16.93 (step @p168 :rule refl :args (@t171)) % 15.90/16.93 (step @p169 :rule bool-and-de-morgan :args (@t29 @t36 true)) % 15.90/16.93 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t173 @t171))) % 15.90/16.93 (step @p171 :rule trans :premises (@p170 @p167)) % 15.90/16.93 (step @p172 :rule bool-impl-elim :args (@t58 @t171)) % 15.90/16.93 (step @p173 :rule trans :premises (@p172 @p171)) % 15.90/16.93 (step @p174 :rule cong :premises (@p173) :args ((forall @t4 (=> @t58 @t171)))) % 15.90/16.93 (step @p175 :rule trans :premises (@p174 @p166)) % 15.90/16.93 (step @p176 :rule quant-miniscope-or :args ((= (forall @t56 @t174) @t171))) % 15.90/16.93 (step @p177 :rule aci_norm :args ((= @t175 @t174))) % 15.90/16.93 (step @p178 :rule cong :premises (@p177) :args ((forall @t56 @t175))) % 15.90/16.93 (step @p179 :rule trans :premises (@p178 @p176)) % 15.90/16.93 (step @p180 :rule aci_norm :args ((= (or @t176 (or @t130 @t67)) @t175))) % 15.90/16.93 (step @p181 :rule bool-impl-elim :args (@t68 @t67)) % 15.90/16.93 (step @p182 :rule bool-and-de-morgan :args (@t54 @t53 true)) % 15.90/16.93 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t177 @t69))) % 15.90/16.93 (step @p184 :rule trans :premises (@p183 @p180)) % 15.90/16.93 (step @p185 :rule bool-impl-elim :args (@t55 @t69)) % 15.90/16.93 (step @p186 :rule trans :premises (@p185 @p184)) % 15.90/16.93 (step @p187 :rule cong :premises (@p186) :args (@t70)) % 15.90/16.93 (step @p188 :rule trans :premises (@p187 @p179)) % 15.90/16.93 (step @p189 :rule refl :args (@t58)) % 15.90/16.93 (step @p190 :rule cong :premises (@p189 @p188) :args (@t71)) % 15.90/16.93 (step @p191 :rule cong :premises (@p190) :args (@t72)) % 15.90/16.93 (step @p192 :rule trans :premises (@p191 @p175)) % 15.90/16.93 (step @p193 :rule cong :premises (@p192) :args (@t73)) % 15.90/16.93 (step @p194 :rule eq_resolve :premises (@p33 @p193)) % 15.90/16.93 (step @p195 :rule skolemize :premises (@p194)) % 15.90/16.93 (step @p196 :rule bool-double-not-elim :args (@t149)) % 15.90/16.93 (step @p197 :rule refl :args (@t187)) % 15.90/16.93 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or @t187 (not @t150)))) % 15.90/16.93 (step @p199 :rule cnf_or_neg :args (@t187 4)) % 15.90/16.93 (step @p200 :rule eq_resolve :premises (@p199 @p198)) % 15.90/16.93 (step @p201 :rule reordering :premises (@p200) :args ((or @t149 @t187))) % 15.90/16.93 (step @p202 :rule chain_m_resolution :premises (@p201 @p195) :args (@t149 @t90 @t188)) % 15.90/16.93 (step @p203 :rule bool-double-not-elim :args (@t151)) % 15.90/16.93 (step @p204 :rule nary_cong :premises (@p197 @p203) :args ((or @t187 (not @t152)))) % 15.90/16.93 (step @p205 :rule cnf_or_neg :args (@t187 3)) % 15.90/16.93 (step @p206 :rule eq_resolve :premises (@p205 @p204)) % 15.90/16.93 (step @p207 :rule reordering :premises (@p206) :args ((or @t151 @t187))) % 15.90/16.93 (step @p208 :rule chain_m_resolution :premises (@p207 @p195) :args (@t151 @t90 @t188)) % 15.90/16.93 (step @p209 :rule cnf_or_pos :args (@t156)) % 15.90/16.93 (step @p210 :rule reordering :premises (@p209) :args ((or @t152 @t150 @t155 (not @t156)))) % 15.90/16.93 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p202 @p152) :args (@t155 @t189 (@list @t151 @t149 @t156))) % 15.90/16.93 (step @p212 :rule cnf_and_pos :args (@t155 1)) % 15.90/16.93 (step @p213 :rule reordering :premises (@p212) :args ((or @t154 (not @t155)))) % 15.90/16.93 (step @p214 :rule chain_m_resolution :premises (@p213 @p211) :args (@t154 @t86 (@list @t155))) % 15.90/16.93 (step @p215 :rule aci_norm :args ((= @t195 (or @t132 @t131 @t193 @t192 @t191)))) % 15.90/16.93 (step @p216 :rule cong :premises (@p215) :args (@t196)) % 15.90/16.93 (step @p217 :rule quant-merge-prenex :args ((= (forall @t4 @t198) @t196))) % 15.90/16.93 (step @p218 :rule alpha_equiv :args (@t199 (@list @t190) @t164)) % 15.90/16.93 (step @p219 :rule nary_cong :premises (@p159 @p158 @p218) :args (@t200)) % 15.90/16.93 (step @p220 :rule quant-miniscope-or :args ((= @t198 @t200))) % 15.90/16.93 (step @p221 :rule trans :premises (@p220 @p219)) % 15.90/16.93 (step @p222 :rule symm :premises (@p221)) % 15.90/16.93 (step @p223 :rule cong :premises (@p222) :args ((forall @t4 @t203))) % 15.90/16.93 (step @p224 :rule trans :premises (@p223 @p217)) % 15.90/16.93 (step @p225 :rule trans :premises (@p224 @p216)) % 15.90/16.93 (step @p226 :rule aci_norm :args ((= (or @t172 @t202) @t203))) % 15.90/16.93 (step @p227 :rule refl :args (@t202)) % 15.90/16.93 (step @p228 :rule nary_cong :premises (@p169 @p227) :args ((or @t173 @t202))) % 15.90/16.93 (step @p229 :rule trans :premises (@p228 @p226)) % 15.90/16.93 (step @p230 :rule bool-impl-elim :args (@t58 @t202)) % 15.90/16.93 (step @p231 :rule trans :premises (@p230 @p229)) % 15.90/16.93 (step @p232 :rule cong :premises (@p231) :args ((forall @t4 (=> @t58 @t202)))) % 15.90/16.93 (step @p233 :rule trans :premises (@p232 @p225)) % 15.90/16.93 (step @p234 :rule aci_norm :args ((= (or @t176 @t52) @t201))) % 15.90/16.93 (step @p235 :rule refl :args (@t52)) % 15.90/16.93 (step @p236 :rule nary_cong :premises (@p182 @p235) :args ((or @t177 @t52))) % 15.90/16.93 (step @p237 :rule trans :premises (@p236 @p234)) % 15.90/16.93 (step @p238 :rule bool-impl-elim :args (@t55 @t52)) % 15.90/16.93 (step @p239 :rule trans :premises (@p238 @p237)) % 15.90/16.93 (step @p240 :rule cong :premises (@p239) :args (@t57)) % 15.90/16.93 (step @p241 :rule cong :premises (@p189 @p240) :args (@t59)) % 15.90/16.93 (step @p242 :rule cong :premises (@p241) :args (@t60)) % 15.90/16.93 (step @p243 :rule trans :premises (@p242 @p233)) % 15.90/16.93 (step @p244 :rule eq_resolve :premises (@p31 @p243)) % 15.90/16.93 (step @p245 :rule instantiate :premises (@p244) :args (@t204)) % 15.90/16.93 (step @p246 :rule bool-double-not-elim :args (@t183)) % 15.90/16.93 (step @p247 :rule nary_cong :premises (@p197 @p246) :args ((or @t187 (not @t184)))) % 15.90/16.93 (step @p248 :rule cnf_or_neg :args (@t187 1)) % 15.90/16.93 (step @p249 :rule eq_resolve :premises (@p248 @p247)) % 15.90/16.93 (step @p250 :rule reordering :premises (@p249) :args ((or @t183 @t187))) % 15.90/16.93 (step @p251 :rule chain_m_resolution :premises (@p250 @p195) :args (@t183 @t90 @t188)) % 15.90/16.93 (step @p252 :rule bool-double-not-elim :args (@t185)) % 15.90/16.93 (step @p253 :rule nary_cong :premises (@p197 @p252) :args ((or @t187 (not @t186)))) % 15.90/16.93 (step @p254 :rule cnf_or_neg :args (@t187 0)) % 15.90/16.93 (step @p255 :rule eq_resolve :premises (@p254 @p253)) % 15.90/16.93 (step @p256 :rule reordering :premises (@p255) :args ((or @t185 @t187))) % 15.90/16.93 (step @p257 :rule chain_m_resolution :premises (@p256 @p195) :args (@t185 @t90 @t188)) % 15.90/16.93 (step @p258 :rule cnf_or_pos :args (@t209)) % 15.90/16.93 (step @p259 :rule reordering :premises (@p258) :args ((or @t186 @t184 @t152 @t150 @t208 (not @t209)))) % 15.90/16.93 (step @p260 :rule chain_m_resolution :premises (@p259 @p257 @p251 @p208 @p202 @p245) :args (@t208 @t210 (@list @t185 @t183 @t151 @t149 @t209))) % 15.90/16.93 (step @p261 :rule aci_norm :args ((= @t218 (or @t132 @t131 @t216 @t215 @t214 @t213)))) % 15.90/16.93 (step @p262 :rule cong :premises (@p261) :args (@t219)) % 15.90/16.93 (step @p263 :rule quant-merge-prenex :args ((= (forall @t4 @t221) @t219))) % 15.90/16.93 (step @p264 :rule alpha_equiv :args (@t222 (@list @t211) @t164)) % 15.90/16.93 (step @p265 :rule nary_cong :premises (@p159 @p158 @p264) :args (@t223)) % 15.90/16.93 (step @p266 :rule quant-miniscope-or :args ((= @t221 @t223))) % 15.90/16.93 (step @p267 :rule trans :premises (@p266 @p265)) % 15.90/16.93 (step @p268 :rule symm :premises (@p267)) % 15.90/16.93 (step @p269 :rule cong :premises (@p268) :args ((forall @t4 @t227))) % 15.90/16.93 (step @p270 :rule trans :premises (@p269 @p263)) % 15.90/16.93 (step @p271 :rule trans :premises (@p270 @p262)) % 15.90/16.93 (step @p272 :rule aci_norm :args ((= (or @t172 @t226) @t227))) % 15.90/16.93 (step @p273 :rule refl :args (@t226)) % 15.90/16.93 (step @p274 :rule nary_cong :premises (@p169 @p273) :args ((or @t173 @t226))) % 15.90/16.93 (step @p275 :rule trans :premises (@p274 @p272)) % 15.90/16.93 (step @p276 :rule bool-impl-elim :args (@t58 @t226)) % 15.90/16.93 (step @p277 :rule trans :premises (@p276 @p275)) % 15.90/16.93 (step @p278 :rule cong :premises (@p277) :args ((forall @t4 (=> @t58 @t226)))) % 15.90/16.93 (step @p279 :rule trans :premises (@p278 @p271)) % 15.90/16.93 (step @p280 :rule aci_norm :args ((= (or @t176 (or @t224 @t61)) @t225))) % 15.90/16.93 (step @p281 :rule bool-impl-elim :args (@t51 @t61)) % 15.90/16.93 (step @p282 :rule nary_cong :premises (@p182 @p281) :args ((or @t177 @t62))) % 15.90/16.93 (step @p283 :rule trans :premises (@p282 @p280)) % 15.90/16.93 (step @p284 :rule bool-impl-elim :args (@t55 @t62)) % 15.90/16.93 (step @p285 :rule trans :premises (@p284 @p283)) % 15.90/16.93 (step @p286 :rule cong :premises (@p285) :args (@t63)) % 15.90/16.93 (step @p287 :rule cong :premises (@p189 @p286) :args (@t64)) % 15.90/16.93 (step @p288 :rule cong :premises (@p287) :args (@t65)) % 15.90/16.93 (step @p289 :rule trans :premises (@p288 @p279)) % 15.90/16.93 (step @p290 :rule eq_resolve :premises (@p32 @p289)) % 15.90/16.93 (step @p291 :rule instantiate :premises (@p290) :args (@t204)) % 15.90/16.93 (step @p292 :rule cnf_or_neg :args (@t187 5)) % 15.90/16.93 (step @p293 :rule chain_m_resolution :premises (@p292 @p195) :args ((not @t180) @t90 @t188)) % 15.90/16.93 (step @p294 :rule cnf_or_pos :args (@t229)) % 15.90/16.93 (step @p295 :rule reordering :premises (@p294) :args ((or @t186 @t184 @t152 @t150 @t180 @t228 (not @t229)))) % 15.90/16.93 (step @p296 :rule chain_m_resolution :premises (@p295 @p257 @p251 @p208 @p202 @p293 @p291) :args (@t228 (@list false false false false true false) (@list @t185 @t183 @t151 @t149 @t180 @t229))) % 15.90/16.93 (step @p297 :rule cnf_equiv_pos2 :args (@t208)) % 15.90/16.93 (step @p298 :rule reordering :premises (@p297) :args ((or @t207 @t230 (not @t208)))) % 15.90/16.93 (step @p299 :rule chain_m_resolution :premises (@p298 @p296 @p260) :args (@t230 @t231 (@list @t207 @t208))) % 15.90/16.93 (step @p300 :rule bool-double-not-elim :args (@t181)) % 15.90/16.93 (step @p301 :rule nary_cong :premises (@p197 @p300) :args ((or @t187 (not @t182)))) % 15.90/16.93 (step @p302 :rule cnf_or_neg :args (@t187 2)) % 15.90/16.93 (step @p303 :rule eq_resolve :premises (@p302 @p301)) % 15.90/16.93 (step @p304 :rule reordering :premises (@p303) :args ((or @t181 @t187))) % 15.90/16.93 (step @p305 :rule chain_m_resolution :premises (@p304 @p195) :args (@t181 @t90 @t188)) % 15.90/16.93 (step @p306 :rule cnf_and_neg :args (@t205)) % 15.90/16.93 (step @p307 :rule reordering :premises (@p306) :args ((or @t182 @t205 @t232))) % 15.90/16.93 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p299) :args (@t232 (@list false true) (@list @t181 @t205))) % 15.90/16.93 (step @p309 :rule cnf_or_pos :args (@t154)) % 15.90/16.93 (step @p310 :rule reordering :premises (@p309) :args ((or @t141 @t144 (not @t154)))) % 15.90/16.93 (step @p311 :rule chain_m_resolution :premises (@p310 @p308 @p214) :args (@t141 @t231 (@list @t144 @t154))) % 15.90/16.93 (step @p312 :rule symm :premises (@p311)) % 15.90/16.93 (step @p313 :rule trans :premises (@p312 @p74)) % 15.90/16.93 (step @p314 :rule symm :premises (@p313)) % 15.90/16.93 (step @p315 :rule bool-eq-true :args (@t233)) % 15.90/16.93 (step @p316 :rule eq-refl :args (@t179)) % 15.90/16.93 (step @p317 :rule refl :args (@t233)) % 15.90/16.93 (step @p318 :rule cong :premises (@p317 @p316) :args ((= @t233 @t234))) % 15.90/16.93 (step @p319 :rule trans :premises (@p318 @p315)) % 15.90/16.93 (step @p320 :rule eq-symm :args (@t234 @t233)) % 15.90/16.93 (step @p321 :rule trans :premises (@p320 @p319)) % 15.90/16.93 (step @p322 :rule refl :args (@t207)) % 15.90/16.93 (step @p323 :rule nary_cong :premises (@p322 @p321) :args (@t235)) % 15.90/16.93 (step @p324 :rule refl :args (@t236)) % 15.90/16.93 (step @p325 :rule nary_cong :premises (@p324 @p323) :args (@t237)) % 15.90/16.93 (step @p326 :rule refl :args (@t239)) % 15.90/16.93 (step @p327 :rule refl :args (@t241)) % 15.90/16.93 (step @p328 :rule nary_cong :premises (@p327 @p326 @p325) :args (@t242)) % 15.90/16.93 (step @p329 :rule cong :premises (@p144 @p328) :args ((=> @t100 @t242))) % 15.90/16.93 (assume-push @p383 @t100) % 15.90/16.93 (step @p331 :rule instantiate :premises (@p129) :args ((@list @t178 tptp.empty_set tptp.empty_set @t136 @t179))) % 15.90/16.93 (step-pop @p384 :rule scope :premises (@p331)) % 15.90/16.93 (step @p332 :rule process_scope :premises (@p384) :args (@t242)) % 15.90/16.93 (step @p334 :rule eq_resolve :premises (@p332 @p329)) % 15.90/16.93 (step @p335 :rule implies_elim :premises (@p334)) % 15.90/16.93 (step @p336 :rule chain_m_resolution :premises (@p335 @p129) :args (@t245 @t86 @t157)) % 15.90/16.93 (step @p337 :rule aci_norm :args ((= (or @t246 @t35) (or @t78 @t98 @t132 @t131 @t35)))) % 15.90/16.93 (step @p338 :rule refl :args (@t35)) % 15.90/16.93 (step @p339 :rule aci_norm :args ((= (or @t78 (or @t98 @t172)) @t246))) % 15.90/16.93 (step @p340 :rule nary_cong :premises (@p85 @p169) :args ((or @t98 @t173))) % 15.90/16.93 (step @p341 :rule bool-and-de-morgan :args (@t5 @t29 (and @t36))) % 15.90/16.93 (step @p342 :rule trans :premises (@p341 @p340)) % 15.90/16.93 (step @p343 :rule nary_cong :premises (@p86 @p342) :args ((or @t78 (not (and @t5 @t29 @t36))))) % 15.90/16.93 (step @p344 :rule bool-and-de-morgan :args (@t8 @t5 (and @t29 @t36))) % 15.90/16.93 (step @p345 :rule trans :premises (@p344 @p343)) % 15.90/16.93 (step @p346 :rule trans :premises (@p345 @p339)) % 15.90/16.93 (step @p347 :rule nary_cong :premises (@p346 @p338) :args ((or (not @t37) @t35))) % 15.90/16.93 (step @p348 :rule trans :premises (@p347 @p337)) % 15.90/16.93 (step @p349 :rule bool-impl-elim :args (@t37 @t35)) % 15.90/16.93 (step @p350 :rule trans :premises (@p349 @p348)) % 15.90/16.93 (step @p351 :rule cong :premises (@p350) :args (@t38)) % 15.90/16.93 (step @p352 :rule eq_resolve :premises (@p11 @p351)) % 15.90/16.93 (step @p353 :rule instantiate :premises (@p352) :args ((@list @t137 @t139))) % 15.90/16.94 (step @p354 :rule cnf_or_pos :args (@t248)) % 15.90/16.94 (step @p355 :rule reordering :premises (@p354) :args ((or @t186 @t184 @t152 @t150 @t247 (not @t248)))) % 15.90/16.94 (step @p356 :rule chain_m_resolution :premises (@p355 @p257 @p251 @p208 @p202 @p353) :args (@t247 @t210 (@list @t185 @t183 @t151 @t149 @t248))) % 15.90/16.94 (step @p357 :rule cnf_and_pos :args (@t247 0)) % 15.90/16.94 (step @p358 :rule reordering :premises (@p357) :args ((or @t240 @t249))) % 15.90/16.94 (step @p359 :rule chain_m_resolution :premises (@p358 @p356) :args (@t240 @t86 @t250)) % 15.90/16.94 (step @p360 :rule cnf_and_pos :args (@t247 1)) % 15.90/16.94 (step @p361 :rule reordering :premises (@p360) :args ((or @t238 @t249))) % 15.90/16.94 (step @p362 :rule chain_m_resolution :premises (@p361 @p356) :args (@t238 @t86 @t250)) % 15.90/16.94 (step @p363 :rule cnf_or_pos :args (@t245)) % 15.90/16.94 (step @p364 :rule reordering :premises (@p363) :args ((or @t239 @t241 @t244 (not @t245)))) % 15.90/16.94 (step @p365 :rule chain_m_resolution :premises (@p364 @p362 @p359 @p336) :args (@t244 @t189 (@list @t238 @t240 @t245))) % 15.90/16.94 (step @p366 :rule cnf_and_pos :args (@t244 1)) % 15.90/16.94 (step @p367 :rule reordering :premises (@p366) :args ((or @t243 (not @t244)))) % 15.90/16.94 (step @p368 :rule chain_m_resolution :premises (@p367 @p365) :args (@t243 @t86 (@list @t244))) % 15.90/16.94 (step @p369 :rule cnf_or_pos :args (@t243)) % 15.90/16.94 (step @p370 :rule reordering :premises (@p369) :args ((or @t207 @t233 (not @t243)))) % 15.90/16.94 (step @p371 :rule chain_m_resolution :premises (@p370 @p296 @p368) :args (@t233 @t231 (@list @t207 @t243))) % 15.90/16.94 (step @p372 :rule symm :premises (@p371)) % 15.90/16.94 (step @p373 :rule trans :premises (@p372 @p74 @p314)) % 15.90/16.94 (step @p374 :rule true_intro :premises (@p373)) % 15.90/16.94 (step @p375 :rule false_intro :premises (@p293)) % 15.90/16.94 (step @p376 :rule symm :premises (@p375)) % 15.90/16.94 (step @p377 :rule trans :premises (@p376 @p374)) % 15.90/16.94 (step @p378 false :rule eq_resolve :premises (@p377 @p42)) % 15.90/16.94 ) % 15.90/16.94 % SZS output end Proof % 15.90/16.94 % cvc5 exiting %------------------------------------------------------------------------------