%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU027+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 08:50:28 AM UTC 2026 % Result : Theorem 34.00s 34.36s % Output : Proof 34.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU027+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 % 0.18/0.35 % Computer : n018.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:23:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 34.00/34.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.00/34.36 --- Run --no-e-matching --full-saturate-quant at 6... % 34.00/34.36 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.00/34.36 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.00/34.36 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.00/34.36 % SZS status Theorem % 34.00/34.36 % SZS output start Proof % 34.00/34.36 ( % 34.00/34.36 (declare-sort $$unsorted 0) % 34.00/34.36 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 34.00/34.36 (declare-const tptp.function (-> $$unsorted Bool)) % 34.00/34.36 (declare-const tptp.empty (-> $$unsorted Bool)) % 34.00/34.36 (declare-const tptp.relation (-> $$unsorted Bool)) % 34.00/34.36 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 34.00/34.36 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 34.00/34.36 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 34.00/34.36 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 34.00/34.36 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 34.00/34.36 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 34.00/34.36 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 34.00/34.36 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 34.00/34.36 (declare-const tptp.empty_set $$unsorted) % 34.00/34.36 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 34.00/34.36 (define @t1 () (@var "A" $$unsorted)) % 34.00/34.36 (define @t2 () (@var "B" $$unsorted)) % 34.00/34.36 (define @t3 () (tptp.in @t1 @t2)) % 34.00/34.36 (define @t4 () (@list @t1 @t2)) % 34.00/34.36 (define @t5 () (tptp.function @t1)) % 34.00/34.36 (define @t6 () (tptp.empty @t1)) % 34.00/34.36 (define @t7 () (@list @t1)) % 34.00/34.36 (define @t8 () (tptp.relation @t1)) % 34.00/34.36 (define @t9 () (tptp.one_to_one @t1)) % 34.00/34.36 (define @t10 () (and @t8 @t5 @t9)) % 34.00/34.36 (define @t11 () (and @t8 @t6 @t5)) % 34.00/34.36 (define @t12 () (@var "D" $$unsorted)) % 34.00/34.36 (define @t13 () (@var "C" $$unsorted)) % 34.00/34.36 (define @t14 () (= @t13 (tptp.apply @t1 @t12))) % 34.00/34.36 (define @t15 () (tptp.relation_dom @t1)) % 34.00/34.36 (define @t16 () (tptp.in @t12 @t15)) % 34.00/34.36 (define @t17 () (and @t16 @t14)) % 34.00/34.36 (define @t18 () (@list @t12)) % 34.00/34.36 (define @t19 () (exists @t18 @t17)) % 34.00/34.36 (define @t20 () (tptp.in @t13 @t2)) % 34.00/34.36 (define @t21 () (= @t20 @t19)) % 34.00/34.36 (define @t22 () (@list @t13)) % 34.00/34.36 (define @t23 () (forall @t22 @t21)) % 34.00/34.36 (define @t24 () (tptp.relation_rng @t1)) % 34.00/34.36 (define @t25 () (= @t2 @t24)) % 34.00/34.36 (define @t26 () (= @t25 @t23)) % 34.00/34.36 (define @t27 () (@list @t2)) % 34.00/34.36 (define @t28 () (forall @t27 @t26)) % 34.00/34.36 (define @t29 () (and @t8 @t5)) % 34.00/34.36 (define @t30 () (=> @t29 @t28)) % 34.00/34.36 (define @t31 () (forall @t7 @t30)) % 34.00/34.36 (define @t32 () (tptp.function_inverse @t1)) % 34.00/34.36 (define @t33 () (and (tptp.relation @t32) (tptp.function @t32))) % 34.00/34.36 (define @t34 () (forall @t7 (=> @t29 @t33))) % 34.00/34.36 (define @t35 () (tptp.relation tptp.empty_set)) % 34.00/34.36 (define @t36 () (tptp.empty tptp.empty_set)) % 34.00/34.36 (define @t37 () (tptp.powerset @t1)) % 34.00/34.36 (define @t38 () (tptp.empty @t15)) % 34.00/34.36 (define @t39 () (not @t6)) % 34.00/34.36 (define @t40 () (and @t39 @t8)) % 34.00/34.36 (define @t41 () (tptp.empty @t24)) % 34.00/34.36 (define @t42 () (tptp.empty @t2)) % 34.00/34.36 (define @t43 () (tptp.element @t2 @t37)) % 34.00/34.36 (define @t44 () (tptp.element @t1 @t2)) % 34.00/34.36 (define @t45 () (tptp.element @t2 (tptp.powerset @t13))) % 34.00/34.36 (define @t46 () (@list @t1 @t2 @t13)) % 34.00/34.36 (define @t47 () (tptp.apply @t2 @t13)) % 34.00/34.36 (define @t48 () (= @t12 @t47)) % 34.00/34.36 (define @t49 () (tptp.in @t13 @t24)) % 34.00/34.36 (define @t50 () (and @t49 @t48)) % 34.00/34.36 (define @t51 () (and (=> @t50 @t17) (=> @t17 @t50))) % 34.00/34.36 (define @t52 () (@list @t13 @t12)) % 34.00/34.36 (define @t53 () (forall @t52 @t51)) % 34.00/34.36 (define @t54 () (tptp.relation_dom @t2)) % 34.00/34.36 (define @t55 () (and (= @t54 @t24) @t53)) % 34.00/34.36 (define @t56 () (= @t2 @t32)) % 34.00/34.36 (define @t57 () (= @t56 @t55)) % 34.00/34.36 (define @t58 () (tptp.function @t2)) % 34.00/34.36 (define @t59 () (tptp.relation @t2)) % 34.00/34.36 (define @t60 () (and @t59 @t58)) % 34.00/34.36 (define @t61 () (=> @t60 @t57)) % 34.00/34.36 (define @t62 () (forall @t27 @t61)) % 34.00/34.36 (define @t63 () (=> @t9 @t62)) % 34.00/34.36 (define @t64 () (=> @t29 @t63)) % 34.00/34.36 (define @t65 () (forall @t7 @t64)) % 34.00/34.36 (define @t66 () (tptp.apply @t2 @t12)) % 34.00/34.36 (define @t67 () (tptp.apply @t1 @t13)) % 34.00/34.36 (define @t68 () (= (= @t67 @t12) (= @t66 @t13))) % 34.00/34.36 (define @t69 () (tptp.in @t12 @t54)) % 34.00/34.36 (define @t70 () (tptp.in @t13 @t15)) % 34.00/34.36 (define @t71 () (and @t70 @t69)) % 34.00/34.36 (define @t72 () (=> @t71 @t68)) % 34.00/34.36 (define @t73 () (forall @t52 @t72)) % 34.00/34.36 (define @t74 () (= @t24 @t54)) % 34.00/34.36 (define @t75 () (= @t15 (tptp.relation_rng @t2))) % 34.00/34.36 (define @t76 () (and @t9 @t75 @t74 @t73)) % 34.00/34.36 (define @t77 () (=> @t76 @t56)) % 34.00/34.36 (define @t78 () (=> @t60 @t77)) % 34.00/34.36 (define @t79 () (forall @t27 @t78)) % 34.00/34.36 (define @t80 () (=> @t29 @t79)) % 34.00/34.36 (define @t81 () (forall @t7 @t80)) % 34.00/34.36 (define @t82 () (not @t81)) % 34.00/34.36 (define @t83 () (= @t1 @t2)) % 34.00/34.36 (define @t84 () (@var "BOUND_VARIABLE_7918" $$unsorted)) % 34.00/34.36 (define @t85 () (= @t12 @t67)) % 34.00/34.36 (define @t86 () (tptp.relation_dom @t84)) % 34.00/34.36 (define @t87 () (not @t70)) % 34.00/34.36 (define @t88 () (not (forall @t52 (or @t87 (not (tptp.in @t12 @t86)) (= @t85 (= @t13 (tptp.apply @t84 @t12))))))) % 34.00/34.36 (define @t89 () (not (= @t24 @t86))) % 34.00/34.36 (define @t90 () (not (= @t15 (tptp.relation_rng @t84)))) % 34.00/34.36 (define @t91 () (not (tptp.function @t84))) % 34.00/34.36 (define @t92 () (not (tptp.relation @t84))) % 34.00/34.36 (define @t93 () (not @t9)) % 34.00/34.36 (define @t94 () (not @t5)) % 34.00/34.36 (define @t95 () (not @t8)) % 34.00/34.36 (define @t96 () (= @t84 @t32)) % 34.00/34.36 (define @t97 () (or @t95 @t94 @t93 @t92 @t91 @t90 @t89 @t88 @t96)) % 34.00/34.36 (define @t98 () (or @t92 @t91 @t90 @t89 @t88 @t96)) % 34.00/34.36 (define @t99 () (or @t95 @t94 @t93 @t98)) % 34.00/34.36 (define @t100 () (@list @t1 @t84)) % 34.00/34.36 (define @t101 () (forall @t100 @t99)) % 34.00/34.36 (define @t102 () (@list @t84)) % 34.00/34.36 (define @t103 () (forall @t102 @t99)) % 34.00/34.36 (define @t104 () (forall @t102 @t98)) % 34.00/34.36 (define @t105 () (@list @t2)) % 34.00/34.36 (define @t106 () (or @t95 @t94 @t93 @t104)) % 34.00/34.36 (define @t107 () (= @t85 (= @t13 @t66))) % 34.00/34.36 (define @t108 () (not @t69)) % 34.00/34.36 (define @t109 () (or @t87 @t108 @t107)) % 34.00/34.36 (define @t110 () (forall @t52 @t109)) % 34.00/34.36 (define @t111 () (not @t110)) % 34.00/34.36 (define @t112 () (not @t74)) % 34.00/34.36 (define @t113 () (not @t75)) % 34.00/34.36 (define @t114 () (not @t58)) % 34.00/34.36 (define @t115 () (not @t59)) % 34.00/34.36 (define @t116 () (or @t115 @t114 @t113 @t112 @t111 @t56)) % 34.00/34.36 (define @t117 () (forall @t27 @t116)) % 34.00/34.36 (define @t118 () (or @t95 @t94 @t93 @t117)) % 34.00/34.36 (define @t119 () (or @t93 @t117)) % 34.00/34.36 (define @t120 () (or @t95 @t94)) % 34.00/34.36 (define @t121 () (not @t29)) % 34.00/34.36 (define @t122 () (or @t93 @t116)) % 34.00/34.36 (define @t123 () (or @t115 @t114 @t93 @t113 @t112 @t111 @t56)) % 34.00/34.36 (define @t124 () (or @t93 @t113 @t112 @t111 @t56)) % 34.00/34.36 (define @t125 () (or @t115 @t114)) % 34.00/34.36 (define @t126 () (or @t93 @t113 @t112 @t111)) % 34.00/34.36 (define @t127 () (and @t9 @t75 @t74 @t110)) % 34.00/34.36 (define @t128 () (=> @t127 @t56)) % 34.00/34.36 (define @t129 () (not @t60)) % 34.00/34.36 (define @t130 () (forall @t100 (or @t95 @t94 @t93 @t92 @t91 @t90 @t89 @t88 (= @t32 @t84)))) % 34.00/34.36 (define @t131 () (@quantifiers_skolemize @t130 0)) % 34.00/34.36 (define @t132 () (tptp.function_inverse @t131)) % 34.00/34.36 (define @t133 () (@quantifiers_skolemize @t130 1)) % 34.00/34.36 (define @t134 () (= @t133 @t132)) % 34.00/34.36 (define @t135 () (tptp.apply @t133 @t12)) % 34.00/34.36 (define @t136 () (= @t13 @t135)) % 34.00/34.36 (define @t137 () (tptp.relation_dom @t133)) % 34.00/34.36 (define @t138 () (not (tptp.in @t12 @t137))) % 34.00/34.36 (define @t139 () (tptp.relation_dom @t131)) % 34.00/34.36 (define @t140 () (tptp.in @t13 @t139)) % 34.00/34.36 (define @t141 () (forall @t52 (or (not @t140) @t138 (= (= @t12 (tptp.apply @t131 @t13)) @t136)))) % 34.00/34.36 (define @t142 () (not @t141)) % 34.00/34.36 (define @t143 () (tptp.relation_rng @t131)) % 34.00/34.36 (define @t144 () (= @t143 @t137)) % 34.00/34.36 (define @t145 () (not @t144)) % 34.00/34.36 (define @t146 () (tptp.relation_rng @t133)) % 34.00/34.36 (define @t147 () (= @t139 @t146)) % 34.00/34.36 (define @t148 () (not @t147)) % 34.00/34.36 (define @t149 () (tptp.function @t133)) % 34.00/34.36 (define @t150 () (not @t149)) % 34.00/34.36 (define @t151 () (tptp.relation @t133)) % 34.00/34.36 (define @t152 () (not @t151)) % 34.00/34.36 (define @t153 () (tptp.one_to_one @t131)) % 34.00/34.36 (define @t154 () (not @t153)) % 34.00/34.36 (define @t155 () (tptp.function @t131)) % 34.00/34.36 (define @t156 () (not @t155)) % 34.00/34.36 (define @t157 () (tptp.relation @t131)) % 34.00/34.36 (define @t158 () (not @t157)) % 34.00/34.36 (define @t159 () (or @t158 @t156 @t154 @t152 @t150 @t148 @t145 @t142 @t134)) % 34.00/34.36 (define @t160 () (not @t159)) % 34.00/34.36 (define @t161 () (not @t130)) % 34.00/34.36 (define @t162 () (= @t132 @t133)) % 34.00/34.36 (define @t163 () (or @t158 @t156 @t154 @t152 @t150 @t148 @t145 @t142 @t162)) % 34.00/34.36 (define @t164 () (not @t163)) % 34.00/34.36 (define @t165 () (@list true)) % 34.00/34.36 (define @t166 () (@list @t159)) % 34.00/34.36 (define @t167 () (@var "BOUND_VARIABLE_7850" $$unsorted)) % 34.00/34.36 (define @t168 () (= @t32 @t167)) % 34.00/34.36 (define @t169 () (@var "BOUND_VARIABLE_7793" $$unsorted)) % 34.00/34.36 (define @t170 () (tptp.apply @t1 @t169)) % 34.00/34.36 (define @t171 () (tptp.in @t170 @t24)) % 34.00/34.36 (define @t172 () (not (tptp.in @t169 @t15))) % 34.00/34.36 (define @t173 () (@list @t169)) % 34.00/34.36 (define @t174 () (@var "BOUND_VARIABLE_7775" $$unsorted)) % 34.00/34.36 (define @t175 () (tptp.apply @t167 @t174)) % 34.00/34.36 (define @t176 () (not (tptp.in @t174 @t24))) % 34.00/34.36 (define @t177 () (@list @t174)) % 34.00/34.36 (define @t178 () (and (= @t24 (tptp.relation_dom @t167)) (forall @t177 (or @t176 (and (tptp.in @t175 @t15) (= @t174 (tptp.apply @t1 @t175))))) (forall @t173 (or @t172 (and @t171 (= @t169 (tptp.apply @t167 @t170))))))) % 34.00/34.36 (define @t179 () (= (= @t167 @t32) @t178)) % 34.00/34.36 (define @t180 () (not (tptp.function @t167))) % 34.00/34.36 (define @t181 () (not (tptp.relation @t167))) % 34.00/34.36 (define @t182 () (or @t95 @t94 @t93 @t181 @t180 @t179)) % 34.00/34.36 (define @t183 () (or @t181 @t180 @t179)) % 34.00/34.36 (define @t184 () (or @t95 @t94 @t93 @t183)) % 34.00/34.36 (define @t185 () (@list @t1 @t167)) % 34.00/34.36 (define @t186 () (forall @t185 @t184)) % 34.00/34.36 (define @t187 () (@list @t167)) % 34.00/34.36 (define @t188 () (forall @t187 @t184)) % 34.00/34.36 (define @t189 () (forall @t187 @t183)) % 34.00/34.36 (define @t190 () (or @t95 @t94 @t93 @t189)) % 34.00/34.36 (define @t191 () (and @t171 (= @t169 (tptp.apply @t2 @t170)))) % 34.00/34.36 (define @t192 () (or @t172 @t191)) % 34.00/34.36 (define @t193 () (forall @t173 @t192)) % 34.00/34.36 (define @t194 () (tptp.apply @t2 @t174)) % 34.00/34.36 (define @t195 () (and (tptp.in @t194 @t15) (= @t174 (tptp.apply @t1 @t194)))) % 34.00/34.36 (define @t196 () (or @t176 @t195)) % 34.00/34.36 (define @t197 () (forall @t177 @t196)) % 34.00/34.36 (define @t198 () (and @t74 @t197 @t193)) % 34.00/34.36 (define @t199 () (= @t56 @t198)) % 34.00/34.36 (define @t200 () (or @t115 @t114 @t199)) % 34.00/34.36 (define @t201 () (forall @t27 @t200)) % 34.00/34.36 (define @t202 () (or @t95 @t94 @t93 @t201)) % 34.00/34.36 (define @t203 () (=> @t9 @t201)) % 34.00/34.36 (define @t204 () (not (= @t170 @t170))) % 34.00/34.36 (define @t205 () (or @t172 @t204 @t191)) % 34.00/34.36 (define @t206 () (@var "BOUND_VARIABLE_7791" $$unsorted)) % 34.00/34.36 (define @t207 () (and (tptp.in @t206 @t24) (= @t169 (tptp.apply @t2 @t206)))) % 34.00/34.36 (define @t208 () (not (= @t206 @t170))) % 34.00/34.36 (define @t209 () (or @t208 @t172 @t208 @t207)) % 34.00/34.36 (define @t210 () (@list @t206)) % 34.00/34.36 (define @t211 () (or @t172 @t208 @t207)) % 34.00/34.36 (define @t212 () (forall @t210 @t211)) % 34.00/34.36 (define @t213 () (forall @t173 @t212)) % 34.00/34.36 (define @t214 () (forall (@list @t169 @t206) @t211)) % 34.00/34.36 (define @t215 () (forall (@list @t206 @t169) @t211)) % 34.00/34.36 (define @t216 () (not (= @t194 @t194))) % 34.00/34.36 (define @t217 () (or @t176 @t216 @t195)) % 34.00/34.36 (define @t218 () (@var "BOUND_VARIABLE_7777" $$unsorted)) % 34.00/34.36 (define @t219 () (and (tptp.in @t218 @t15) (= @t174 (tptp.apply @t1 @t218)))) % 34.00/34.36 (define @t220 () (not (= @t218 @t194))) % 34.00/34.36 (define @t221 () (or @t220 @t176 @t220 @t219)) % 34.00/34.36 (define @t222 () (@list @t218)) % 34.00/34.36 (define @t223 () (or @t176 @t220 @t219)) % 34.00/34.36 (define @t224 () (forall @t222 @t223)) % 34.00/34.36 (define @t225 () (forall @t177 @t224)) % 34.00/34.36 (define @t226 () (forall (@list @t174 @t218) @t223)) % 34.00/34.36 (define @t227 () (not @t14)) % 34.00/34.36 (define @t228 () (not @t16)) % 34.00/34.36 (define @t229 () (or @t228 @t227 @t50)) % 34.00/34.36 (define @t230 () (forall @t52 @t229)) % 34.00/34.36 (define @t231 () (@list @t13 @t12)) % 34.00/34.36 (define @t232 () (not @t48)) % 34.00/34.36 (define @t233 () (not @t49)) % 34.00/34.36 (define @t234 () (or @t233 @t232 @t17)) % 34.00/34.36 (define @t235 () (forall @t52 @t234)) % 34.00/34.36 (define @t236 () (and @t235 @t230)) % 34.00/34.36 (define @t237 () (or @t228 @t227)) % 34.00/34.36 (define @t238 () (not @t17)) % 34.00/34.36 (define @t239 () (tptp.apply @t131 @t169)) % 34.00/34.36 (define @t240 () (tptp.in @t239 @t143)) % 34.00/34.36 (define @t241 () (not (tptp.in @t169 @t139))) % 34.00/34.36 (define @t242 () (forall @t173 (or @t241 (and @t240 (= @t169 (tptp.apply @t132 @t239)))))) % 34.00/34.36 (define @t243 () (tptp.apply @t132 @t174)) % 34.00/34.36 (define @t244 () (not (tptp.in @t174 @t143))) % 34.00/34.36 (define @t245 () (and (= @t143 (tptp.relation_dom @t132)) (forall @t177 (or @t244 (and (tptp.in @t243 @t139) (= @t174 (tptp.apply @t131 @t243))))) @t242)) % 34.00/34.36 (define @t246 () (= @t132 @t132)) % 34.00/34.36 (define @t247 () (tptp.function @t132)) % 34.00/34.36 (define @t248 () (not @t247)) % 34.00/34.36 (define @t249 () (tptp.relation @t132)) % 34.00/34.36 (define @t250 () (not @t249)) % 34.00/34.36 (define @t251 () (or @t158 @t156 @t154 @t250 @t248 (= @t245 @t246))) % 34.00/34.36 (define @t252 () (forall @t185 (or @t95 @t94 @t93 @t181 @t180 (= @t178 @t168)))) % 34.00/34.36 (define @t253 () (or @t158 @t156 @t154 @t250 @t248 @t245)) % 34.00/34.36 (define @t254 () (@list false)) % 34.00/34.36 (define @t255 () (@list @t252)) % 34.00/34.36 (define @t256 () (and @t249 @t247)) % 34.00/34.36 (define @t257 () (or @t158 @t156 @t256)) % 34.00/34.36 (define @t258 () (@list false false false)) % 34.00/34.36 (define @t259 () (not @t256)) % 34.00/34.36 (define @t260 () (@list @t256)) % 34.00/34.36 (define @t261 () (@list false false false false false false)) % 34.00/34.36 (define @t262 () (forall @t173 (or @t241 (and @t240 (= @t169 (tptp.apply @t133 @t239)))))) % 34.00/34.36 (define @t263 () (@quantifiers_skolemize @t262 0)) % 34.00/34.36 (define @t264 () (tptp.apply @t133 @t174)) % 34.00/34.36 (define @t265 () (forall @t177 (or @t244 (and (tptp.in @t264 @t139) (= @t174 (tptp.apply @t131 @t264)))))) % 34.00/34.36 (define @t266 () (@quantifiers_skolemize @t265 0)) % 34.00/34.36 (define @t267 () (tptp.in @t266 @t143)) % 34.00/34.36 (define @t268 () (tptp.apply @t133 @t266)) % 34.00/34.36 (define @t269 () (= @t266 (tptp.apply @t131 @t268))) % 34.00/34.36 (define @t270 () (tptp.in @t268 @t139)) % 34.00/34.36 (define @t271 () (and @t270 @t269)) % 34.00/34.36 (define @t272 () (not @t267)) % 34.00/34.36 (define @t273 () (or @t272 @t271)) % 34.00/34.36 (define @t274 () (tptp.in @t266 @t137)) % 34.00/34.36 (define @t275 () (and @t144 @t267)) % 34.00/34.36 (define @t276 () (not @t274)) % 34.00/34.36 (define @t277 () (= @t268 @t268)) % 34.00/34.36 (define @t278 () (not @t277)) % 34.00/34.36 (define @t279 () (or @t276 @t278)) % 34.00/34.36 (define @t280 () (forall @t18 (or @t138 (not (= @t135 @t268))))) % 34.00/34.36 (define @t281 () (not @t280)) % 34.00/34.36 (define @t282 () (@var "BOUND_VARIABLE_7646" $$unsorted)) % 34.00/34.36 (define @t283 () (tptp.in @t13 @t282)) % 34.00/34.36 (define @t284 () (not (forall @t18 @t237))) % 34.00/34.36 (define @t285 () (forall @t22 (= @t283 @t284))) % 34.00/34.36 (define @t286 () (= (= @t282 @t24) @t285)) % 34.00/34.36 (define @t287 () (or @t95 @t94 @t286)) % 34.00/34.36 (define @t288 () (@list @t1 @t282)) % 34.00/34.36 (define @t289 () (forall @t288 @t287)) % 34.00/34.36 (define @t290 () (@list @t282)) % 34.00/34.36 (define @t291 () (forall @t290 @t287)) % 34.00/34.36 (define @t292 () (forall @t290 @t286)) % 34.00/34.36 (define @t293 () (or @t95 @t94 @t292)) % 34.00/34.36 (define @t294 () (forall @t27 (= @t25 (forall @t22 (= @t20 @t284))))) % 34.00/34.36 (define @t295 () (or @t95 @t94 @t294)) % 34.00/34.36 (define @t296 () (forall @t18 @t238)) % 34.00/34.36 (define @t297 () (not @t296)) % 34.00/34.36 (define @t298 () (not (forall @t18 (or @t138 (not @t136))))) % 34.00/34.36 (define @t299 () (forall @t22 (= @t298 @t140))) % 34.00/34.36 (define @t300 () (= (= @t146 @t139) @t299)) % 34.00/34.36 (define @t301 () (or @t152 @t150 @t300)) % 34.00/34.36 (define @t302 () (forall @t288 (or @t95 @t94 (= (= @t24 @t282) (forall @t22 (= @t284 @t283)))))) % 34.00/34.36 (define @t303 () (forall @t22 (= @t140 @t298))) % 34.00/34.36 (define @t304 () (= @t147 @t303)) % 34.00/34.36 (define @t305 () (or @t152 @t150 @t304)) % 34.00/34.36 (define @t306 () (@list false false)) % 34.00/34.36 (define @t307 () (not (= @t268 @t135))) % 34.00/34.36 (define @t308 () (or @t138 @t307)) % 34.00/34.36 (define @t309 () (forall @t18 @t308)) % 34.00/34.36 (define @t310 () (not @t309)) % 34.00/34.36 (define @t311 () (= @t270 @t310)) % 34.00/34.36 (define @t312 () (= @t270 @t281)) % 34.00/34.36 (define @t313 () (not @t312)) % 34.00/34.36 (define @t314 () (= @t269 @t277)) % 34.00/34.36 (define @t315 () (not @t270)) % 34.00/34.36 (define @t316 () (or @t315 @t276 @t314)) % 34.00/34.36 (define @t317 () (or @t315 @t276 @t269)) % 34.00/34.36 (define @t318 () (@list @t141)) % 34.00/34.36 (define @t319 () (not @t273)) % 34.00/34.36 (define @t320 () (not @t265)) % 34.00/34.36 (define @t321 () (and @t144 @t265 @t262)) % 34.00/34.36 (define @t322 () (or @t158 @t156 @t154 @t152 @t150 (= @t321 @t162))) % 34.00/34.36 (define @t323 () (= @t134 @t321)) % 34.00/34.36 (define @t324 () (or @t158 @t156 @t154 @t152 @t150 @t323)) % 34.00/34.36 (define @t325 () (not @t321)) % 34.00/34.36 (define @t326 () (@list true false)) % 34.00/34.36 (define @t327 () (not @t262)) % 34.00/34.36 (define @t328 () (@list false true false)) % 34.00/34.36 (define @t329 () (tptp.apply @t131 @t263)) % 34.00/34.36 (define @t330 () (= @t263 (tptp.apply @t133 @t329))) % 34.00/34.36 (define @t331 () (tptp.in @t329 @t143)) % 34.00/34.36 (define @t332 () (and @t331 @t330)) % 34.00/34.36 (define @t333 () (tptp.in @t263 @t139)) % 34.00/34.36 (define @t334 () (not @t333)) % 34.00/34.36 (define @t335 () (or @t334 @t332)) % 34.00/34.36 (define @t336 () (not @t335)) % 34.00/34.36 (define @t337 () (@list @t335)) % 34.00/34.36 (define @t338 () (and @t331 (= @t263 (tptp.apply @t132 @t329)))) % 34.00/34.36 (define @t339 () (or @t334 @t338)) % 34.00/34.36 (define @t340 () (= @t329 @t329)) % 34.00/34.36 (define @t341 () (tptp.in @t329 @t137)) % 34.00/34.36 (define @t342 () (not @t341)) % 34.00/34.36 (define @t343 () (or @t334 @t342 (= @t340 @t330))) % 34.00/34.36 (define @t344 () (or @t334 @t342 @t330)) % 34.00/34.36 (define @t345 () (not @t331)) % 34.00/34.36 (define @t346 () (and @t342 @t144 @t331)) % 34.00/34.36 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 34.00/34.36 (assume @p2 (forall @t7 (=> @t6 @t5))) % 34.00/34.36 (assume @p3 (forall @t7 (=> @t6 @t8))) % 34.00/34.36 (assume @p4 (forall @t7 (=> @t11 @t10))) % 34.00/34.36 (assume @p5 @t31) % 34.00/34.36 (assume @p6 @t34) % 34.00/34.36 (assume @p7 (forall @t7 (exists @t27 (tptp.element @t2 @t1)))) % 34.00/34.36 (assume @p8 (and @t36 @t35 (tptp.relation_empty_yielding tptp.empty_set))) % 34.00/34.36 (assume @p9 (forall @t7 (not (tptp.empty @t37)))) % 34.00/34.36 (assume @p10 @t36) % 34.00/34.36 (assume @p11 (and @t36 @t35)) % 34.00/34.36 (assume @p12 (forall @t7 (=> @t40 (not @t38)))) % 34.00/34.36 (assume @p13 (forall @t7 (=> @t40 (not @t41)))) % 34.00/34.36 (assume @p14 (forall @t7 (=> @t6 (and @t38 (tptp.relation @t15))))) % 34.00/34.36 (assume @p15 (forall @t7 (=> @t6 (and @t41 (tptp.relation @t24))))) % 34.00/34.36 (assume @p16 (exists @t7 @t29)) % 34.00/34.36 (assume @p17 (exists @t7 (and @t6 @t8))) % 34.00/34.36 (assume @p18 (forall @t7 (=> @t39 (exists @t27 (and @t43 (not @t42)))))) % 34.00/34.36 (assume @p19 (exists @t7 @t6)) % 34.00/34.36 (assume @p20 (exists @t7 @t11)) % 34.00/34.36 (assume @p21 (exists @t7 @t40)) % 34.00/34.36 (assume @p22 (forall @t7 (exists @t27 (and @t43 @t42)))) % 34.00/34.36 (assume @p23 (exists @t7 @t39)) % 34.00/34.36 (assume @p24 (exists @t7 @t10)) % 34.00/34.36 (assume @p25 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 34.00/34.36 (assume @p26 (forall @t4 (tptp.subset @t1 @t1))) % 34.00/34.36 (assume @p27 (forall @t4 (=> @t3 @t44))) % 34.00/34.36 (assume @p28 (forall @t4 (=> @t44 (or @t42 @t3)))) % 34.00/34.36 (assume @p29 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 34.00/34.36 (assume @p30 (forall @t46 (=> (and @t3 @t45) (tptp.element @t1 @t13)))) % 34.00/34.36 (assume @p31 @t65) % 34.00/34.36 (assume @p32 (forall @t46 (not (and @t3 @t45 (tptp.empty @t13))))) % 34.00/34.36 (assume @p33 @t82) % 34.00/34.36 (assume @p34 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 34.00/34.36 (assume @p35 (forall @t4 (not (and @t3 @t42)))) % 34.00/34.36 (assume @p36 (forall @t4 (not (and @t6 (not @t83) @t42)))) % 34.00/34.36 (assume @p37 (forall @t7 (=> @t29 (forall @t27 (=> @t60 (=> (and (= @t15 @t54) (forall @t22 (=> @t70 (= @t67 @t47)))) @t83)))))) % 34.00/34.36 (assume @p38 true) % 34.00/34.36 (step @p39 :rule eq-symm :args (@t84 @t32)) % 34.00/34.36 (step @p40 :rule refl :args (@t88)) % 34.00/34.36 (step @p41 :rule refl :args (@t89)) % 34.00/34.36 (step @p42 :rule refl :args (@t90)) % 34.00/34.36 (step @p43 :rule refl :args (@t91)) % 34.00/34.36 (step @p44 :rule refl :args (@t92)) % 34.00/34.36 (step @p45 :rule refl :args (@t93)) % 34.00/34.36 (step @p46 :rule refl :args (@t94)) % 34.00/34.36 (step @p47 :rule refl :args (@t95)) % 34.00/34.36 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39) :args (@t97)) % 34.00/34.36 (step @p49 :rule aci_norm :args ((= @t99 @t97))) % 34.00/34.36 (step @p50 :rule trans :premises (@p49 @p48)) % 34.00/34.36 (step @p51 :rule cong :premises (@p50) :args (@t101)) % 34.00/34.36 (step @p52 :rule quant-merge-prenex :args ((= (forall @t7 @t103) @t101))) % 34.00/34.36 (step @p53 :rule alpha_equiv :args (@t104 (@list @t84) @t105)) % 34.00/34.36 (step @p54 :rule refl :args (@t93)) % 34.00/34.36 (step @p55 :rule refl :args (@t94)) % 34.00/34.36 (step @p56 :rule refl :args (@t95)) % 34.00/34.36 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54 @p53) :args (@t106)) % 34.00/34.36 (step @p58 :rule quant-miniscope-or :args ((= @t103 @t106))) % 34.00/34.36 (step @p59 :rule trans :premises (@p58 @p57)) % 34.00/34.36 (step @p60 :rule symm :premises (@p59)) % 34.00/34.36 (step @p61 :rule cong :premises (@p60) :args ((forall @t7 @t118))) % 34.00/34.36 (step @p62 :rule trans :premises (@p61 @p52)) % 34.00/34.36 (step @p63 :rule trans :premises (@p62 @p51)) % 34.00/34.36 (step @p64 :rule aci_norm :args ((= (or @t120 @t119) @t118))) % 34.00/34.36 (step @p65 :rule refl :args (@t119)) % 34.00/34.36 (step @p66 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 34.00/34.36 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t121 @t119))) % 34.00/34.36 (step @p68 :rule trans :premises (@p67 @p64)) % 34.00/34.36 (step @p69 :rule bool-impl-elim :args (@t29 @t119)) % 34.00/34.36 (step @p70 :rule trans :premises (@p69 @p68)) % 34.00/34.36 (step @p71 :rule cong :premises (@p70) :args ((forall @t7 (=> @t29 @t119)))) % 34.00/34.36 (step @p72 :rule trans :premises (@p71 @p63)) % 34.00/34.36 (step @p73 :rule quant-miniscope-or :args ((= (forall @t27 @t122) @t119))) % 34.00/34.36 (step @p74 :rule aci_norm :args ((= @t123 @t122))) % 34.00/34.36 (step @p75 :rule cong :premises (@p74) :args ((forall @t27 @t123))) % 34.00/34.36 (step @p76 :rule trans :premises (@p75 @p73)) % 34.00/34.36 (step @p77 :rule aci_norm :args ((= (or @t125 @t124) @t123))) % 34.00/34.36 (step @p78 :rule aci_norm :args ((= (or @t126 @t56) @t124))) % 34.00/34.36 (step @p79 :rule refl :args (@t56)) % 34.00/34.36 (step @p80 :rule aci_norm :args ((= (or @t93 (or @t113 (or @t112 @t111))) @t126))) % 34.00/34.36 (step @p81 :rule bool-and-de-morgan :args (@t74 @t110 true)) % 34.00/34.36 (step @p82 :rule refl :args (@t113)) % 34.00/34.36 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t113 (not (and @t74 @t110))))) % 34.00/34.36 (step @p84 :rule bool-and-de-morgan :args (@t75 @t74 (and @t110))) % 34.00/34.36 (step @p85 :rule trans :premises (@p84 @p83)) % 34.00/34.36 (step @p86 :rule nary_cong :premises (@p54 @p85) :args ((or @t93 (not (and @t75 @t74 @t110))))) % 34.00/34.36 (step @p87 :rule bool-and-de-morgan :args (@t9 @t75 (and @t74 @t110))) % 34.00/34.36 (step @p88 :rule trans :premises (@p87 @p86)) % 34.00/34.36 (step @p89 :rule trans :premises (@p88 @p80)) % 34.00/34.36 (step @p90 :rule nary_cong :premises (@p89 @p79) :args ((or (not @t127) @t56))) % 34.00/34.36 (step @p91 :rule trans :premises (@p90 @p78)) % 34.00/34.36 (step @p92 :rule bool-impl-elim :args (@t127 @t56)) % 34.00/34.36 (step @p93 :rule trans :premises (@p92 @p91)) % 34.00/34.36 (step @p94 :rule bool-and-de-morgan :args (@t59 @t58 true)) % 34.00/34.36 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t129 @t128))) % 34.00/34.36 (step @p96 :rule trans :premises (@p95 @p77)) % 34.00/34.36 (step @p97 :rule bool-impl-elim :args (@t60 @t128)) % 34.00/34.36 (step @p98 :rule trans :premises (@p97 @p96)) % 34.00/34.36 (step @p99 :rule cong :premises (@p98) :args ((forall @t27 (=> @t60 @t128)))) % 34.00/34.36 (step @p100 :rule trans :premises (@p99 @p76)) % 34.00/34.36 (step @p101 :rule refl :args (@t56)) % 34.00/34.36 (step @p102 :rule aci_norm :args ((= (or (or @t87 @t108) @t107) @t109))) % 34.00/34.36 (step @p103 :rule refl :args (@t107)) % 34.00/34.36 (step @p104 :rule bool-and-de-morgan :args (@t70 @t69 true)) % 34.00/34.36 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or (not @t71) @t107))) % 34.00/34.36 (step @p106 :rule trans :premises (@p105 @p102)) % 34.00/34.36 (step @p107 :rule bool-impl-elim :args (@t71 @t107)) % 34.00/34.36 (step @p108 :rule trans :premises (@p107 @p106)) % 34.00/34.36 (step @p109 :rule cong :premises (@p108) :args ((forall @t52 (=> @t71 @t107)))) % 34.00/34.36 (step @p110 :rule eq-symm :args (@t66 @t13)) % 34.00/34.36 (step @p111 :rule eq-symm :args (@t67 @t12)) % 34.00/34.36 (step @p112 :rule cong :premises (@p111 @p110) :args (@t68)) % 34.00/34.36 (step @p113 :rule refl :args (@t71)) % 34.00/34.36 (step @p114 :rule cong :premises (@p113 @p112) :args (@t72)) % 34.00/34.36 (step @p115 :rule cong :premises (@p114) :args (@t73)) % 34.00/34.36 (step @p116 :rule trans :premises (@p115 @p109)) % 34.00/34.36 (step @p117 :rule refl :args (@t74)) % 34.00/34.36 (step @p118 :rule refl :args (@t75)) % 34.00/34.36 (step @p119 :rule refl :args (@t9)) % 34.00/34.36 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116) :args (@t76)) % 34.00/34.36 (step @p121 :rule cong :premises (@p120 @p101) :args (@t77)) % 34.00/34.36 (step @p122 :rule refl :args (@t60)) % 34.00/34.36 (step @p123 :rule cong :premises (@p122 @p121) :args (@t78)) % 34.00/34.36 (step @p124 :rule cong :premises (@p123) :args (@t79)) % 34.00/34.36 (step @p125 :rule trans :premises (@p124 @p100)) % 34.00/34.36 (step @p126 :rule refl :args (@t29)) % 34.00/34.36 (step @p127 :rule cong :premises (@p126 @p125) :args (@t80)) % 34.00/34.36 (step @p128 :rule cong :premises (@p127) :args (@t81)) % 34.00/34.36 (step @p129 :rule trans :premises (@p128 @p72)) % 34.00/34.36 (step @p130 :rule cong :premises (@p129) :args (@t82)) % 34.00/34.36 (step @p131 :rule eq_resolve :premises (@p33 @p130)) % 34.00/34.36 (step @p132 :rule refl :args (@t160)) % 34.00/34.36 (step @p133 :rule bool-double-not-elim :args (@t130)) % 34.00/34.36 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or (not @t161) @t160))) % 34.00/34.36 (step @p135 :rule eq-symm :args (@t132 @t133)) % 34.00/34.36 (step @p136 :rule refl :args (@t142)) % 34.00/34.36 (step @p137 :rule refl :args (@t145)) % 34.00/34.36 (step @p138 :rule refl :args (@t148)) % 34.00/34.36 (step @p139 :rule refl :args (@t150)) % 34.00/34.36 (step @p140 :rule refl :args (@t152)) % 34.00/34.36 (step @p141 :rule refl :args (@t154)) % 34.00/34.36 (step @p142 :rule refl :args (@t156)) % 34.00/34.36 (step @p143 :rule refl :args (@t158)) % 34.00/34.36 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135) :args (@t163)) % 34.00/34.36 (step @p145 :rule cong :premises (@p144) :args (@t164)) % 34.00/34.36 (step @p146 :rule refl :args (@t161)) % 34.00/34.36 (step @p147 :rule cong :premises (@p146 @p145) :args ((=> @t161 @t164))) % 34.00/34.36 (assume-push @p617 @t161) % 34.00/34.36 (step @p149 :rule skolemize :premises (@p131)) % 34.00/34.36 (step-pop @p618 :rule scope :premises (@p149)) % 34.00/34.36 (step @p150 :rule process_scope :premises (@p618) :args (@t164)) % 34.00/34.36 (step @p152 :rule eq_resolve :premises (@p150 @p147)) % 34.00/34.36 (step @p153 :rule implies_elim :premises (@p152)) % 34.00/34.36 (step @p154 :rule eq_resolve :premises (@p153 @p134)) % 34.00/34.36 (step @p155 :rule chain_m_resolution :premises (@p154 @p131) :args (@t160 @t165 (@list @t130))) % 34.00/34.36 (step @p156 :rule bool-double-not-elim :args (@t144)) % 34.00/34.36 (step @p157 :rule refl :args (@t159)) % 34.00/34.36 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or @t159 (not @t145)))) % 34.00/34.36 (step @p159 :rule cnf_or_neg :args (@t159 6)) % 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@p382 :rule cong :premises (@p381) :args (@t285)) % 34.00/34.36 (step @p383 :rule eq-symm :args (@t282 @t24)) % 34.00/34.36 (step @p384 :rule cong :premises (@p383 @p382) :args (@t286)) % 34.00/34.36 (step @p385 :rule nary_cong :premises (@p47 @p46 @p384) :args (@t287)) % 34.00/34.36 (step @p386 :rule cong :premises (@p385) :args (@t289)) % 34.00/34.36 (step @p387 :rule quant-merge-prenex :args ((= (forall @t7 @t291) @t289))) % 34.00/34.36 (step @p388 :rule alpha_equiv :args (@t292 (@list @t282) @t105)) % 34.00/34.36 (step @p389 :rule nary_cong :premises (@p56 @p55 @p388) :args (@t293)) % 34.00/34.36 (step @p390 :rule quant-miniscope-or :args ((= @t291 @t293))) % 34.00/34.36 (step @p391 :rule trans :premises (@p390 @p389)) % 34.00/34.36 (step @p392 :rule symm :premises (@p391)) % 34.00/34.36 (step @p393 :rule cong :premises (@p392) :args ((forall @t7 @t295))) % 34.00/34.36 (step @p394 :rule trans :premises (@p393 @p387)) % 34.00/34.36 (step @p395 :rule trans :premises (@p394 @p386)) % 34.00/34.36 (step @p396 :rule aci_norm :args ((= (or @t120 @t294) @t295))) % 34.00/34.36 (step @p397 :rule refl :args (@t294)) % 34.00/34.36 (step @p398 :rule nary_cong :premises (@p66 @p397) :args ((or @t121 @t294))) % 34.00/34.36 (step @p399 :rule trans :premises (@p398 @p396)) % 34.00/34.36 (step @p400 :rule bool-impl-elim :args (@t29 @t294)) % 34.00/34.36 (step @p401 :rule trans :premises (@p400 @p399)) % 34.00/34.36 (step @p402 :rule cong :premises (@p401) :args ((forall @t7 (=> @t29 @t294)))) % 34.00/34.36 (step @p403 :rule trans :premises (@p402 @p395)) % 34.00/34.36 (step @p404 :rule cong :premises (@p246) :args (@t296)) % 34.00/34.36 (step @p405 :rule cong :premises (@p404) :args (@t297)) % 34.00/34.36 (step @p406 :rule exists-elim :args ((= @t19 @t297))) % 34.00/34.36 (step @p407 :rule trans :premises (@p406 @p405)) % 34.00/34.36 (step @p408 :rule refl :args (@t20)) % 34.00/34.36 (step @p409 :rule cong :premises (@p408 @p407) :args (@t21)) % 34.00/34.36 (step @p410 :rule cong :premises (@p409) :args (@t23)) % 34.00/34.36 (step @p411 :rule refl :args (@t25)) % 34.00/34.36 (step @p412 :rule cong :premises (@p411 @p410) :args (@t26)) % 34.00/34.36 (step @p413 :rule cong :premises (@p412) :args (@t28)) % 34.00/34.36 (step @p414 :rule cong :premises (@p126 @p413) :args (@t30)) % 34.00/34.36 (step @p415 :rule cong :premises (@p414) :args (@t31)) % 34.00/34.36 (step @p416 :rule trans :premises (@p415 @p403)) % 34.00/34.36 (step @p417 :rule eq_resolve :premises (@p5 @p416)) % 34.00/34.36 (step @p418 :rule eq-symm :args (@t298 @t140)) % 34.00/34.36 (step @p419 :rule cong :premises (@p418) :args (@t299)) % 34.00/34.36 (step @p420 :rule eq-symm :args (@t146 @t139)) % 34.00/34.36 (step @p421 :rule cong :premises (@p420 @p419) :args (@t300)) % 34.00/34.36 (step @p422 :rule nary_cong :premises (@p140 @p139 @p421) :args (@t301)) % 34.00/34.36 (step @p423 :rule refl :args (@t302)) % 34.00/34.36 (step @p424 :rule cong :premises (@p423 @p422) :args ((=> @t302 @t301))) % 34.00/34.36 (assume-push @p631 @t302) % 34.00/34.36 (step @p426 :rule instantiate :premises (@p417) :args ((@list @t133 @t139))) % 34.00/34.36 (step-pop @p632 :rule scope :premises (@p426)) % 34.00/34.36 (step @p427 :rule process_scope :premises (@p632) :args (@t301)) % 34.00/34.36 (step @p429 :rule eq_resolve :premises (@p427 @p424)) % 34.00/34.36 (step @p430 :rule implies_elim :premises (@p429)) % 34.00/34.36 (step @p431 :rule chain_m_resolution :premises (@p430 @p417) :args (@t305 @t254 (@list @t302))) % 34.00/34.36 (step @p432 :rule bool-double-not-elim :args (@t149)) % 34.00/34.36 (step @p433 :rule nary_cong :premises (@p157 @p432) :args ((or @t159 (not @t150)))) % 34.00/34.36 (step @p434 :rule cnf_or_neg :args (@t159 4)) % 34.00/34.36 (step @p435 :rule eq_resolve :premises (@p434 @p433)) % 34.00/34.36 (step @p436 :rule reordering :premises (@p435) :args ((or @t149 @t159))) % 34.00/34.36 (step @p437 :rule chain_m_resolution :premises (@p436 @p155) :args (@t149 @t165 @t166)) % 34.00/34.36 (step @p438 :rule bool-double-not-elim :args (@t151)) % 34.00/34.36 (step @p439 :rule nary_cong :premises (@p157 @p438) :args ((or @t159 (not @t152)))) % 34.00/34.36 (step @p440 :rule cnf_or_neg :args (@t159 3)) % 34.00/34.36 (step @p441 :rule eq_resolve :premises (@p440 @p439)) % 34.00/34.36 (step @p442 :rule reordering :premises (@p441) :args ((or @t151 @t159))) % 34.00/34.36 (step @p443 :rule chain_m_resolution :premises (@p442 @p155) :args (@t151 @t165 @t166)) % 34.00/34.36 (step @p444 :rule cnf_or_pos :args (@t305)) % 34.00/34.36 (step @p445 :rule reordering :premises (@p444) :args ((or @t152 @t150 @t304 (not @t305)))) % 34.00/34.36 (step @p446 :rule chain_m_resolution :premises (@p445 @p443 @p437 @p431) :args (@t304 @t258 (@list @t151 @t149 @t305))) % 34.00/34.36 (step @p447 :rule bool-double-not-elim :args (@t147)) % 34.00/34.36 (step @p448 :rule nary_cong :premises (@p157 @p447) :args ((or @t159 (not @t148)))) % 34.00/34.36 (step @p449 :rule cnf_or_neg :args (@t159 5)) % 34.00/34.36 (step @p450 :rule eq_resolve :premises (@p449 @p448)) % 34.00/34.36 (step @p451 :rule reordering :premises (@p450) :args ((or @t147 @t159))) % 34.00/34.36 (step @p452 :rule chain_m_resolution :premises (@p451 @p155) :args (@t147 @t165 @t166)) % 34.00/34.36 (step @p453 :rule cnf_equiv_pos1 :args (@t304)) % 34.00/34.36 (step @p454 :rule reordering :premises (@p453) :args ((or @t148 @t303 (not @t304)))) % 34.00/34.36 (step @p455 :rule chain_m_resolution :premises (@p454 @p452 @p446) :args (@t303 @t306 (@list @t147 @t304))) % 34.00/34.36 (step @p456 :rule eq-symm :args (@t268 @t135)) % 34.00/34.36 (step @p457 :rule cong :premises (@p456) :args (@t307)) % 34.00/34.36 (step @p458 :rule refl :args (@t138)) % 34.00/34.36 (step @p459 :rule nary_cong :premises (@p458 @p457) :args (@t308)) % 34.00/34.36 (step @p460 :rule cong :premises (@p459) :args (@t309)) % 34.00/34.36 (step @p461 :rule cong :premises (@p460) :args (@t310)) % 34.00/34.36 (step @p462 :rule refl :args (@t270)) % 34.00/34.36 (step @p463 :rule cong :premises (@p462 @p461) :args (@t311)) % 34.00/34.36 (step @p464 :rule refl :args (@t303)) % 34.00/34.36 (step @p465 :rule cong :premises (@p464 @p463) :args ((=> @t303 @t311))) % 34.00/34.36 (assume-push @p633 @t303) % 34.00/34.36 (step @p467 :rule instantiate :premises (@p455) :args ((@list @t268))) % 34.00/34.36 (step-pop @p634 :rule scope :premises (@p467)) % 34.00/34.36 (step @p468 :rule process_scope :premises (@p634) :args (@t311)) % 34.00/34.36 (step @p470 :rule eq_resolve :premises (@p468 @p465)) % 34.00/34.36 (step @p471 :rule implies_elim :premises (@p470)) % 34.00/34.36 (step @p472 :rule chain_m_resolution :premises (@p471 @p455) :args (@t312 @t254 (@list @t303))) % 34.00/34.36 (step @p473 :rule bool-double-not-elim :args (@t280)) % 34.00/34.36 (step @p474 :rule refl :args (@t313)) % 34.00/34.36 (step @p475 :rule nary_cong :premises (@p474 @p462 @p473) :args ((or @t313 @t270 (not @t281)))) % 34.00/34.36 (step @p476 :rule cnf_equiv_pos2 :args (@t312)) % 34.00/34.36 (step @p477 :rule eq_resolve :premises (@p476 @p475)) % 34.00/34.36 (step @p478 :rule reordering :premises (@p477) :args ((or @t270 @t280 @t313))) % 34.00/34.36 (step @p479 :rule cnf_and_neg :args (@t271)) % 34.00/34.36 (step @p480 :rule bool-double-not-elim :args (@t141)) % 34.00/34.36 (step @p481 :rule nary_cong :premises (@p157 @p480) :args ((or @t159 (not @t142)))) % 34.00/34.36 (step @p482 :rule cnf_or_neg :args (@t159 7)) % 34.00/34.36 (step @p483 :rule eq_resolve :premises (@p482 @p481)) % 34.00/34.36 (step @p484 :rule reordering :premises (@p483) :args ((or @t141 @t159))) % 34.00/34.36 (step @p485 :rule chain_m_resolution :premises (@p484 @p155) :args (@t141 @t165 @t166)) % 34.00/34.36 (step @p486 :rule bool-eq-true :args (@t269)) % 34.00/34.36 (step @p487 :rule refl :args (@t269)) % 34.00/34.36 (step @p488 :rule cong :premises (@p487 @p366) :args (@t314)) % 34.00/34.36 (step @p489 :rule trans :premises (@p488 @p486)) % 34.00/34.36 (step @p490 :rule refl :args (@t315)) % 34.00/34.36 (step @p491 :rule nary_cong :premises (@p490 @p369 @p489) :args (@t316)) % 34.00/34.36 (step @p492 :rule refl :args (@t141)) % 34.00/34.36 (step @p493 :rule cong :premises (@p492 @p491) :args ((=> @t141 @t316))) % 34.00/34.36 (assume-push @p635 @t141) % 34.00/34.36 (step @p495 :rule instantiate :premises (@p485) :args ((@list @t268 @t266))) % 34.00/34.36 (step-pop @p636 :rule scope :premises (@p495)) % 34.00/34.36 (step @p496 :rule process_scope :premises (@p636) :args (@t316)) % 34.00/34.36 (step @p498 :rule eq_resolve :premises (@p496 @p493)) % 34.00/34.36 (step @p499 :rule implies_elim :premises (@p498)) % 34.00/34.36 (step @p500 :rule chain_m_resolution :premises (@p499 @p485) :args (@t317 @t254 @t318)) % 34.00/34.36 (step @p501 :rule cnf_or_pos :args (@t317)) % 34.00/34.36 (step @p502 :rule reordering :premises (@p501) :args ((or @t269 @t315 @t276 (not @t317)))) % 34.00/34.36 (step @p503 :rule chain_m_resolution :premises (@p502 @p500 @p479 @p478 @p472 @p380 @p364 @p162 @p343 @p342) :args (@t273 (@list false true false false true false false true false) (@list @t317 @t269 @t270 @t312 @t280 @t274 @t144 @t271 @t267))) % 34.00/34.36 (step @p504 :rule refl :args (@t319)) % 34.00/34.36 (step @p505 :rule bool-double-not-elim :args (@t265)) % 34.00/34.36 (step @p506 :rule nary_cong :premises (@p505 @p504) :args ((or (not @t320) @t319))) % 34.00/34.36 (assume-push @p637 @t320) % 34.00/34.36 (step @p508 :rule skolemize :premises (@p637)) % 34.00/34.36 (step-pop @p638 :rule scope :premises (@p508)) % 34.00/34.36 (step @p509 :rule process_scope :premises (@p638) :args (@t319)) % 34.00/34.36 (step @p511 :rule implies_elim :premises (@p509)) % 34.00/34.36 (step @p512 :rule eq_resolve :premises (@p511 @p506)) % 34.00/34.36 (step @p513 :rule chain_m_resolution :premises (@p512 @p503) :args (@t265 @t254 (@list @t273))) % 34.00/34.36 (step @p514 :rule refl :args (@t321)) % 34.00/34.36 (step @p515 :rule cong :premises (@p135 @p514) :args ((= @t162 @t321))) % 34.00/34.36 (step @p516 :rule eq-symm :args (@t321 @t162)) % 34.00/34.36 (step @p517 :rule trans :premises (@p516 @p515)) % 34.00/34.36 (step @p518 :rule nary_cong :premises (@p143 @p142 @p141 @p140 @p139 @p517) :args (@t322)) % 34.00/34.36 (step @p519 :rule cong :premises (@p285 @p518) :args ((=> @t252 @t322))) % 34.00/34.36 (assume-push @p639 @t252) % 34.00/34.36 (step @p521 :rule instantiate :premises (@p272) :args ((@list @t131 @t133))) % 34.00/34.36 (step-pop @p640 :rule scope :premises (@p521)) % 34.00/34.36 (step @p522 :rule process_scope :premises (@p640) :args (@t322)) % 34.00/34.36 (step @p524 :rule eq_resolve :premises (@p522 @p519)) % 34.00/34.36 (step @p525 :rule implies_elim :premises (@p524)) % 34.00/34.36 (step @p526 :rule chain_m_resolution :premises (@p525 @p272) :args (@t324 @t254 @t255)) % 34.00/34.36 (step @p527 :rule cnf_or_pos :args (@t324)) % 34.00/34.36 (step @p528 :rule reordering :premises (@p527) :args ((or @t158 @t156 @t154 @t152 @t150 @t323 (not @t324)))) % 34.00/34.36 (step @p529 :rule chain_m_resolution :premises (@p528 @p314 @p308 @p329 @p443 @p437 @p526) :args (@t323 @t261 (@list @t157 @t155 @t153 @t151 @t149 @t324))) % 34.00/34.36 (step @p530 :rule cnf_or_neg :args (@t159 8)) % 34.00/34.36 (step @p531 :rule chain_m_resolution :premises (@p530 @p155) :args ((not @t134) @t165 @t166)) % 34.00/34.36 (step @p532 :rule cnf_equiv_pos2 :args (@t323)) % 34.00/34.36 (step @p533 :rule reordering :premises (@p532) :args ((or @t134 @t325 (not @t323)))) % 34.00/34.36 (step @p534 :rule chain_m_resolution :premises (@p533 @p531 @p529) :args (@t325 @t326 (@list @t134 @t323))) % 34.00/34.36 (step @p535 :rule cnf_and_neg :args (@t321)) % 34.00/34.36 (step @p536 :rule reordering :premises (@p535) :args ((or @t145 @t321 @t320 @t327))) % 34.00/34.36 (step @p537 :rule chain_m_resolution :premises (@p536 @p162 @p534 @p513) :args (@t327 @t328 (@list @t144 @t321 @t265))) % 34.00/34.36 (step @p538 :rule refl :args (@t336)) % 34.00/34.36 (step @p539 :rule bool-double-not-elim :args (@t262)) % 34.00/34.36 (step @p540 :rule nary_cong :premises (@p539 @p538) :args ((or (not @t327) @t336))) % 34.00/34.36 (assume-push @p641 @t327) % 34.00/34.36 (step @p542 :rule skolemize :premises (@p641)) % 34.00/34.36 (step-pop @p642 :rule scope :premises (@p542)) % 34.00/34.36 (step @p543 :rule process_scope :premises (@p642) :args (@t336)) % 34.00/34.36 (step @p545 :rule implies_elim :premises (@p543)) % 34.00/34.36 (step @p546 :rule eq_resolve :premises (@p545 @p540)) % 34.00/34.36 (step @p547 :rule chain_m_resolution :premises (@p546 @p537) :args (@t336 @t165 (@list @t262))) % 34.00/34.36 (step @p548 :rule bool-double-not-elim :args (@t333)) % 34.00/34.36 (step @p549 :rule refl :args (@t335)) % 34.00/34.36 (step @p550 :rule nary_cong :premises (@p549 @p548) :args ((or @t335 (not @t334)))) % 34.00/34.36 (step @p551 :rule cnf_or_neg :args (@t335 0)) % 34.00/34.36 (step @p552 :rule eq_resolve :premises (@p551 @p550)) % 34.00/34.36 (step @p553 :rule reordering :premises (@p552) :args ((or @t333 @t335))) % 34.00/34.36 (step @p554 :rule chain_m_resolution :premises (@p553 @p547) :args (@t333 @t165 @t337)) % 34.00/34.36 (step @p555 :rule cnf_or_pos :args (@t339)) % 34.00/34.36 (step @p556 :rule reordering :premises (@p555) :args ((or @t334 @t338 (not @t339)))) % 34.00/34.36 (step @p557 :rule chain_m_resolution :premises (@p556 @p554 @p336) :args (@t338 @t306 (@list @t333 @t339))) % 34.00/34.36 (step @p558 :rule cnf_and_pos :args (@t338 0)) % 34.00/34.36 (step @p559 :rule reordering :premises (@p558) :args ((or @t331 (not @t338)))) % 34.00/34.36 (step @p560 :rule chain_m_resolution :premises (@p559 @p557) :args (@t331 @t254 (@list @t338))) % 34.00/34.36 (step @p561 :rule bool-eq-true :args (@t330)) % 34.00/34.36 (step @p562 :rule eq-refl :args (@t329)) % 34.00/34.36 (step @p563 :rule refl :args (@t330)) % 34.00/34.36 (step @p564 :rule cong :premises (@p563 @p562) :args ((= @t330 @t340))) % 34.00/34.36 (step @p565 :rule trans :premises (@p564 @p561)) % 34.00/34.36 (step @p566 :rule eq-symm :args (@t340 @t330)) % 34.00/34.36 (step @p567 :rule trans :premises (@p566 @p565)) % 34.00/34.36 (step @p568 :rule refl :args (@t342)) % 34.00/34.36 (step @p569 :rule refl :args (@t334)) % 34.00/34.36 (step @p570 :rule nary_cong :premises (@p569 @p568 @p567) :args (@t343)) % 34.00/34.36 (step @p571 :rule cong :premises (@p492 @p570) :args ((=> @t141 @t343))) % 34.00/34.36 (assume-push @p643 @t141) % 34.00/34.36 (step @p573 :rule instantiate :premises (@p485) :args ((@list @t263 @t329))) % 34.00/34.36 (step-pop @p644 :rule scope :premises (@p573)) % 34.00/34.36 (step @p574 :rule process_scope :premises (@p644) :args (@t343)) % 34.00/34.36 (step @p576 :rule eq_resolve :premises (@p574 @p571)) % 34.00/34.36 (step @p577 :rule implies_elim :premises (@p576)) % 34.00/34.36 (step @p578 :rule chain_m_resolution :premises (@p577 @p485) :args (@t344 @t254 @t318)) % 34.00/34.36 (step @p579 :rule cnf_or_neg :args (@t335 1)) % 34.00/34.36 (step @p580 :rule chain_m_resolution :premises (@p579 @p547) :args ((not @t332) @t165 @t337)) % 34.00/34.36 (step @p581 :rule cnf_and_neg :args (@t332)) % 34.00/34.36 (step @p582 :rule chain_m_resolution :premises (@p581 @p580 @p560) :args ((not @t330) @t326 (@list @t332 @t331))) % 34.00/34.36 (step @p583 :rule cnf_or_pos :args (@t344)) % 34.00/34.36 (step @p584 :rule reordering :premises (@p583) :args ((or @t334 @t330 @t342 (not @t344)))) % 34.00/34.36 (step @p585 :rule chain_m_resolution :premises (@p584 @p554 @p582 @p578) :args (@t342 @t328 (@list @t333 @t330 @t344))) % 34.00/34.36 (step @p586 :rule bool-double-not-elim :args (@t341)) % 34.00/34.36 (step @p587 :rule refl :args (@t345)) % 34.00/34.36 (step @p588 :rule nary_cong :premises (@p137 @p587 @p586) :args ((or @t145 @t345 (not @t342)))) % 34.00/34.36 (assume-push @p645 @t342) % 34.00/34.36 (assume-push @p646 @t144) % 34.00/34.36 (assume-push @p647 @t331) % 34.00/34.36 (step @p592 :rule evaluate :args ((= true false))) % 34.00/34.36 (step @p593 :rule false_intro :premises (@p645)) % 34.00/34.36 (step @p594 :rule refl :args (@t329)) % 34.00/34.36 (step @p595 :rule cong :premises (@p594 @p162) :args (@t331)) % 34.00/34.36 (step @p596 :rule true_intro :premises (@p647)) % 34.00/34.36 (step @p597 :rule symm :premises (@p596)) % 34.00/34.36 (step @p598 :rule trans :premises (@p597 @p595 @p593)) % 34.00/34.36 (step @p599 false :rule eq_resolve :premises (@p598 @p592)) % 34.00/34.36 (step-pop @p648 :rule scope :premises (@p599)) % 34.00/34.36 (step-pop @p649 :rule scope :premises (@p648)) % 34.00/34.36 (step-pop @p650 :rule scope :premises (@p649)) % 34.00/34.36 (step @p600 :rule process_scope :premises (@p650) :args (false)) % 34.00/34.36 (assume-push @p651 @t144) % 34.00/34.36 (assume-push @p652 @t331) % 34.00/34.36 (assume-push @p653 @t342) % 34.00/34.36 (step @p607 :rule and_intro :premises (@p653 @p162 @p652)) % 34.00/34.36 (step-pop @p654 :rule scope :premises (@p607)) % 34.00/34.36 (step-pop @p655 :rule scope :premises (@p654)) % 34.00/34.36 (step-pop @p656 :rule scope :premises (@p655)) % 34.00/34.36 (step @p608 :rule process_scope :premises (@p656) :args (@t346)) % 34.00/34.36 (step @p612 :rule implies_elim :premises (@p608)) % 34.00/34.36 (step @p613 :rule resolution :premises (@p612 @p600) :args (true @t346)) % 34.00/34.36 (step @p614 :rule not_and :premises (@p613)) % 34.00/34.36 (step @p615 :rule eq_resolve :premises (@p614 @p588)) % 34.00/34.36 (step @p616 false :rule chain_m_resolution :premises (@p615 @p585 @p560 @p162) :args (false (@list true false false) (@list @t341 @t331 @t144))) % 34.00/34.36 ) % 34.00/34.36 % SZS output end Proof % 34.00/34.36 % cvc5 exiting %------------------------------------------------------------------------------