%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM397+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 : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:18 AM UTC 2026 % Result : Theorem 211.55s 211.84s % Output : Proof 211.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM397+1 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:16:32 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 211.55/211.84 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 211.55/211.84 --- Run --no-e-matching --full-saturate-quant at 6... % 211.55/211.84 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 211.55/211.84 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 211.55/211.84 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 211.55/211.84 --- Run --trigger-sel=max --full-saturate-quant at 15... % 211.55/211.84 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 211.55/211.84 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 211.55/211.84 --- Run --prenex-quant=none --full-saturate-quant at 30... % 211.55/211.84 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 211.55/211.84 --- Run --relevant-triggers --full-saturate-quant at 30... % 211.55/211.84 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 211.55/211.84 % SZS status Theorem % 211.55/211.84 % SZS output start Proof % 211.55/211.84 ( % 211.55/211.84 (declare-sort $$unsorted 0) % 211.55/211.84 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 211.55/211.84 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 211.55/211.84 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 211.55/211.84 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 211.55/211.84 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 211.55/211.84 (declare-const tptp.function (-> $$unsorted Bool)) % 211.55/211.84 (declare-const tptp.empty (-> $$unsorted Bool)) % 211.55/211.84 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 211.55/211.84 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 211.55/211.84 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 211.55/211.84 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 211.55/211.84 (declare-const tptp.relation (-> $$unsorted Bool)) % 211.55/211.84 (declare-const tptp.empty_set $$unsorted) % 211.55/211.84 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 211.55/211.84 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 211.55/211.84 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 211.55/211.84 (define @t1 () (@var "A" $$unsorted)) % 211.55/211.84 (define @t2 () (@var "B" $$unsorted)) % 211.55/211.84 (define @t3 () (tptp.in @t2 @t1)) % 211.55/211.84 (define @t4 () (not @t3)) % 211.55/211.84 (define @t5 () (tptp.in @t1 @t2)) % 211.55/211.84 (define @t6 () (@list @t1 @t2)) % 211.55/211.84 (define @t7 () (tptp.function @t1)) % 211.55/211.84 (define @t8 () (tptp.empty @t1)) % 211.55/211.84 (define @t9 () (@list @t1)) % 211.55/211.84 (define @t10 () (tptp.epsilon_connected @t1)) % 211.55/211.84 (define @t11 () (tptp.epsilon_transitive @t1)) % 211.55/211.84 (define @t12 () (and @t11 @t10)) % 211.55/211.84 (define @t13 () (tptp.ordinal @t1)) % 211.55/211.84 (define @t14 () (forall @t9 (=> @t13 @t12))) % 211.55/211.84 (define @t15 () (tptp.relation @t1)) % 211.55/211.84 (define @t16 () (tptp.one_to_one @t1)) % 211.55/211.84 (define @t17 () (and @t15 @t7 @t16)) % 211.55/211.84 (define @t18 () (and @t15 @t8 @t7)) % 211.55/211.84 (define @t19 () (forall @t9 (=> @t12 @t13))) % 211.55/211.84 (define @t20 () (and @t11 @t10 @t13)) % 211.55/211.84 (define @t21 () (tptp.ordinal_subset @t2 @t1)) % 211.55/211.84 (define @t22 () (tptp.ordinal_subset @t1 @t2)) % 211.55/211.84 (define @t23 () (or @t22 @t21)) % 211.55/211.84 (define @t24 () (tptp.ordinal @t2)) % 211.55/211.84 (define @t25 () (and @t13 @t24)) % 211.55/211.84 (define @t26 () (forall @t6 (=> @t25 @t23))) % 211.55/211.84 (define @t27 () (tptp.subset @t2 @t1)) % 211.55/211.84 (define @t28 () (@list @t2)) % 211.55/211.84 (define @t29 () (forall @t28 (=> @t3 @t27))) % 211.55/211.84 (define @t30 () (= @t11 @t29)) % 211.55/211.84 (define @t31 () (forall @t9 @t30)) % 211.55/211.84 (define @t32 () (@var "C" $$unsorted)) % 211.55/211.84 (define @t33 () (tptp.in @t32 @t2)) % 211.55/211.84 (define @t34 () (not @t33)) % 211.55/211.84 (define @t35 () (= @t2 @t32)) % 211.55/211.84 (define @t36 () (not @t35)) % 211.55/211.84 (define @t37 () (tptp.in @t2 @t32)) % 211.55/211.84 (define @t38 () (not @t37)) % 211.55/211.84 (define @t39 () (tptp.in @t32 @t1)) % 211.55/211.84 (define @t40 () (@list @t2 @t32)) % 211.55/211.84 (define @t41 () (forall @t40 (not (and @t3 @t39 @t38 @t36 @t34)))) % 211.55/211.84 (define @t42 () (= @t10 @t41)) % 211.55/211.84 (define @t43 () (forall @t9 @t42)) % 211.55/211.84 (define @t44 () (@var "D" $$unsorted)) % 211.55/211.84 (define @t45 () (tptp.in @t44 @t1)) % 211.55/211.84 (define @t46 () (tptp.in @t32 @t44)) % 211.55/211.84 (define @t47 () (and @t46 @t45)) % 211.55/211.84 (define @t48 () (@list @t44)) % 211.55/211.84 (define @t49 () (exists @t48 @t47)) % 211.55/211.84 (define @t50 () (= @t33 @t49)) % 211.55/211.84 (define @t51 () (@list @t32)) % 211.55/211.84 (define @t52 () (forall @t51 @t50)) % 211.55/211.84 (define @t53 () (tptp.union @t1)) % 211.55/211.84 (define @t54 () (= @t2 @t53)) % 211.55/211.84 (define @t55 () (= @t54 @t52)) % 211.55/211.84 (define @t56 () (forall @t6 @t55)) % 211.55/211.84 (define @t57 () (tptp.relation_empty_yielding tptp.empty_set)) % 211.55/211.84 (define @t58 () (tptp.relation tptp.empty_set)) % 211.55/211.84 (define @t59 () (tptp.empty tptp.empty_set)) % 211.55/211.84 (define @t60 () (tptp.ordinal tptp.empty_set)) % 211.55/211.84 (define @t61 () (not @t8)) % 211.55/211.84 (define @t62 () (tptp.relation_empty_yielding @t1)) % 211.55/211.84 (define @t63 () (tptp.subset @t1 @t2)) % 211.55/211.84 (define @t64 () (= @t22 @t63)) % 211.55/211.84 (define @t65 () (forall @t6 (=> @t25 @t64))) % 211.55/211.84 (define @t66 () (tptp.element @t1 @t2)) % 211.55/211.84 (define @t67 () (=> @t5 @t13)) % 211.55/211.84 (define @t68 () (forall @t6 (=> @t24 @t67))) % 211.55/211.84 (define @t69 () (= @t1 @t2)) % 211.55/211.84 (define @t70 () (not @t69)) % 211.55/211.84 (define @t71 () (not @t5)) % 211.55/211.84 (define @t72 () (not (and @t71 @t70 @t4))) % 211.55/211.84 (define @t73 () (forall @t28 (=> @t24 @t72))) % 211.55/211.84 (define @t74 () (=> @t13 @t73)) % 211.55/211.84 (define @t75 () (forall @t9 @t74)) % 211.55/211.84 (define @t76 () (tptp.empty @t2)) % 211.55/211.84 (define @t77 () (or @t76 @t5)) % 211.55/211.84 (define @t78 () (forall @t6 (=> @t66 @t77))) % 211.55/211.84 (define @t79 () (tptp.ordinal @t53)) % 211.55/211.84 (define @t80 () (forall @t9 (=> @t13 @t79))) % 211.55/211.84 (define @t81 () (not @t80)) % 211.55/211.84 (define @t82 () (tptp.element @t1 (tptp.powerset @t2))) % 211.55/211.84 (define @t83 () (forall @t6 (= @t82 @t63))) % 211.55/211.84 (define @t84 () (tptp.element @t1 @t32)) % 211.55/211.84 (define @t85 () (tptp.element @t2 (tptp.powerset @t32))) % 211.55/211.84 (define @t86 () (and @t5 @t85)) % 211.55/211.84 (define @t87 () (@list @t1 @t2 @t32)) % 211.55/211.84 (define @t88 () (forall @t87 (=> @t86 @t84))) % 211.55/211.84 (define @t89 () (tptp.empty @t32)) % 211.55/211.84 (define @t90 () (forall @t87 (not (and @t5 @t85 @t89)))) % 211.55/211.84 (define @t91 () (tptp.subset @t1 (tptp.union @t2))) % 211.55/211.84 (define @t92 () (forall @t6 (=> @t5 @t91))) % 211.55/211.84 (define @t93 () (not @t24)) % 211.55/211.84 (define @t94 () (or @t93 @t71 @t13)) % 211.55/211.84 (define @t95 () (not @t13)) % 211.55/211.84 (define @t96 () (@quantifiers_skolemize (forall @t9 (or @t95 @t79)) 0)) % 211.55/211.84 (define @t97 () (not (tptp.in @t44 @t96))) % 211.55/211.84 (define @t98 () (tptp.union @t96)) % 211.55/211.84 (define @t99 () (tptp.in @t32 @t98)) % 211.55/211.84 (define @t100 () (not (tptp.in @t2 @t98))) % 211.55/211.84 (define @t101 () (forall @t40 (or @t100 (not @t99) @t37 @t35 @t33))) % 211.55/211.84 (define @t102 () (@quantifiers_skolemize @t101 1)) % 211.55/211.84 (define @t103 () (forall @t48 (or (not (tptp.in @t102 @t44)) @t97))) % 211.55/211.84 (define @t104 () (@quantifiers_skolemize @t103 0)) % 211.55/211.84 (define @t105 () (forall @t48 (not @t47))) % 211.55/211.84 (define @t106 () (not @t105)) % 211.55/211.84 (define @t107 () (not @t46)) % 211.55/211.84 (define @t108 () (not (forall @t48 (or @t107 @t97)))) % 211.55/211.84 (define @t109 () (forall @t51 (= @t108 @t99))) % 211.55/211.84 (define @t110 () (forall @t51 (= @t99 @t108))) % 211.55/211.84 (define @t111 () (= (= @t98 @t98) @t110)) % 211.55/211.84 (define @t112 () (forall @t6 (= @t54 (forall @t51 (= @t33 (not (forall @t48 (or @t107 (not @t45))))))))) % 211.55/211.84 (define @t113 () (@list false)) % 211.55/211.84 (define @t114 () (not @t103)) % 211.55/211.84 (define @t115 () (tptp.in @t102 @t98)) % 211.55/211.84 (define @t116 () (= @t114 @t115)) % 211.55/211.84 (define @t117 () (= @t115 @t114)) % 211.55/211.84 (define @t118 () (@list @t109)) % 211.55/211.84 (define @t119 () (not @t39)) % 211.55/211.84 (define @t120 () (not @t34)) % 211.55/211.84 (define @t121 () (not @t36)) % 211.55/211.84 (define @t122 () (not @t38)) % 211.55/211.84 (define @t123 () (or @t4 @t119 @t122 @t121 @t120)) % 211.55/211.84 (define @t124 () (@list @t98)) % 211.55/211.84 (define @t125 () (not @t10)) % 211.55/211.84 (define @t126 () (not @t11)) % 211.55/211.84 (define @t127 () (forall @t28 (or @t100 (tptp.subset @t2 @t98)))) % 211.55/211.84 (define @t128 () (@quantifiers_skolemize @t127 0)) % 211.55/211.84 (define @t129 () (tptp.in @t128 @t98)) % 211.55/211.84 (define @t130 () (tptp.subset @t128 @t98)) % 211.55/211.84 (define @t131 () (not @t129)) % 211.55/211.84 (define @t132 () (or @t131 @t130)) % 211.55/211.84 (define @t133 () (forall @t48 (or (not (tptp.in @t128 @t44)) @t97))) % 211.55/211.84 (define @t134 () (not @t133)) % 211.55/211.84 (define @t135 () (= @t134 @t129)) % 211.55/211.84 (define @t136 () (= @t129 @t134)) % 211.55/211.84 (define @t137 () (@list @t128 @t96)) % 211.55/211.84 (define @t138 () (tptp.in @t128 @t96)) % 211.55/211.84 (define @t139 () (not @t138)) % 211.55/211.84 (define @t140 () (or @t139 @t130)) % 211.55/211.84 (define @t141 () (@quantifiers_skolemize @t133 0)) % 211.55/211.84 (define @t142 () (tptp.in @t141 @t96)) % 211.55/211.84 (define @t143 () (not @t142)) % 211.55/211.84 (define @t144 () (tptp.in @t128 @t141)) % 211.55/211.84 (define @t145 () (not @t144)) % 211.55/211.84 (define @t146 () (or @t145 @t143)) % 211.55/211.84 (define @t147 () (not @t146)) % 211.55/211.84 (define @t148 () (not @t89)) % 211.55/211.84 (define @t149 () (not @t85)) % 211.55/211.84 (define @t150 () (forall @t51 (= (tptp.in @t32 tptp.empty_set) @t108))) % 211.55/211.84 (define @t151 () (@quantifiers_skolemize @t150 0)) % 211.55/211.84 (define @t152 () (forall @t48 (or (not (tptp.in @t151 @t44)) @t97))) % 211.55/211.84 (define @t153 () (@quantifiers_skolemize @t152 0)) % 211.55/211.84 (define @t154 () (@list @t96)) % 211.55/211.84 (define @t155 () (tptp.ordinal @t96)) % 211.55/211.84 (define @t156 () (tptp.ordinal @t98)) % 211.55/211.84 (define @t157 () (not @t155)) % 211.55/211.84 (define @t158 () (or @t157 @t156)) % 211.55/211.84 (define @t159 () (@list true)) % 211.55/211.84 (define @t160 () (@list @t158)) % 211.55/211.84 (define @t161 () (tptp.epsilon_transitive @t96)) % 211.55/211.84 (define @t162 () (and @t161 (tptp.epsilon_connected @t96))) % 211.55/211.84 (define @t163 () (or @t157 @t162)) % 211.55/211.84 (define @t164 () (@list false false)) % 211.55/211.84 (define @t165 () (forall @t28 (or (not (tptp.in @t2 @t96)) (tptp.subset @t2 @t96)))) % 211.55/211.84 (define @t166 () (= @t161 @t165)) % 211.55/211.84 (define @t167 () (not @t156)) % 211.55/211.84 (define @t168 () (= tptp.empty_set @t98)) % 211.55/211.84 (define @t169 () (not @t168)) % 211.55/211.84 (define @t170 () (not @t60)) % 211.55/211.84 (define @t171 () (and @t60 @t168 @t167)) % 211.55/211.84 (define @t172 () (= @t168 @t150)) % 211.55/211.84 (define @t173 () (not @t150)) % 211.55/211.84 (define @t174 () (@list true false)) % 211.55/211.84 (define @t175 () (not @t152)) % 211.55/211.84 (define @t176 () (tptp.in @t151 tptp.empty_set)) % 211.55/211.84 (define @t177 () (= @t176 @t175)) % 211.55/211.84 (define @t178 () (not @t177)) % 211.55/211.84 (define @t179 () (@list tptp.empty_set tptp.empty_set)) % 211.55/211.84 (define @t180 () (or @t95 @t93)) % 211.55/211.84 (define @t181 () (not @t25)) % 211.55/211.84 (define @t182 () (tptp.subset tptp.empty_set tptp.empty_set)) % 211.55/211.84 (define @t183 () (tptp.ordinal_subset tptp.empty_set tptp.empty_set)) % 211.55/211.84 (define @t184 () (= @t183 @t182)) % 211.55/211.84 (define @t185 () (or @t170 @t170 @t184)) % 211.55/211.84 (define @t186 () (or @t170 @t170 @t183 @t183)) % 211.55/211.84 (define @t187 () (tptp.element tptp.empty_set (tptp.powerset tptp.empty_set))) % 211.55/211.84 (define @t188 () (= @t182 @t187)) % 211.55/211.84 (define @t189 () (not @t59)) % 211.55/211.84 (define @t190 () (not @t187)) % 211.55/211.84 (define @t191 () (not @t176)) % 211.55/211.84 (define @t192 () (or @t191 @t190 @t189)) % 211.55/211.84 (define @t193 () (@list false false false)) % 211.55/211.84 (define @t194 () (tptp.in @t153 @t96)) % 211.55/211.84 (define @t195 () (not @t194)) % 211.55/211.84 (define @t196 () (tptp.in @t151 @t153)) % 211.55/211.84 (define @t197 () (not @t196)) % 211.55/211.84 (define @t198 () (or @t197 @t195)) % 211.55/211.84 (define @t199 () (not @t198)) % 211.55/211.84 (define @t200 () (@list @t198)) % 211.55/211.84 (define @t201 () (tptp.subset @t153 @t96)) % 211.55/211.84 (define @t202 () (or @t195 @t201)) % 211.55/211.84 (define @t203 () (tptp.powerset @t96)) % 211.55/211.84 (define @t204 () (tptp.element @t153 @t203)) % 211.55/211.84 (define @t205 () (= @t201 @t204)) % 211.55/211.84 (define @t206 () (tptp.empty @t96)) % 211.55/211.84 (define @t207 () (not @t206)) % 211.55/211.84 (define @t208 () (not @t204)) % 211.55/211.84 (define @t209 () (or @t197 @t208 @t207)) % 211.55/211.84 (define @t210 () (not @t66)) % 211.55/211.84 (define @t211 () (tptp.element @t128 @t96)) % 211.55/211.84 (define @t212 () (not @t211)) % 211.55/211.84 (define @t213 () (or @t212 @t206 @t138)) % 211.55/211.84 (define @t214 () (tptp.element @t141 @t203)) % 211.55/211.84 (define @t215 () (not @t214)) % 211.55/211.84 (define @t216 () (or @t145 @t215 @t211)) % 211.55/211.84 (define @t217 () (tptp.subset @t141 @t96)) % 211.55/211.84 (define @t218 () (or @t143 @t217)) % 211.55/211.84 (define @t219 () (forall @t6 (= @t63 @t82))) % 211.55/211.84 (define @t220 () (= @t217 @t214)) % 211.55/211.84 (define @t221 () (= @t214 @t217)) % 211.55/211.84 (define @t222 () (not @t132)) % 211.55/211.84 (define @t223 () (not @t127)) % 211.55/211.84 (define @t224 () (tptp.epsilon_transitive @t98)) % 211.55/211.84 (define @t225 () (= @t224 @t127)) % 211.55/211.84 (define @t226 () (tptp.epsilon_connected @t98)) % 211.55/211.84 (define @t227 () (not @t226)) % 211.55/211.84 (define @t228 () (not @t224)) % 211.55/211.84 (define @t229 () (or @t228 @t227 @t156)) % 211.55/211.84 (define @t230 () (@list true false false)) % 211.55/211.84 (define @t231 () (= @t226 @t101)) % 211.55/211.84 (define @t232 () (not @t101)) % 211.55/211.84 (define @t233 () (@quantifiers_skolemize @t101 0)) % 211.55/211.84 (define @t234 () (tptp.in @t102 @t233)) % 211.55/211.84 (define @t235 () (= @t233 @t102)) % 211.55/211.84 (define @t236 () (tptp.in @t233 @t102)) % 211.55/211.84 (define @t237 () (not @t115)) % 211.55/211.84 (define @t238 () (tptp.in @t233 @t98)) % 211.55/211.84 (define @t239 () (not @t238)) % 211.55/211.84 (define @t240 () (or @t239 @t237 @t236 @t235 @t234)) % 211.55/211.84 (define @t241 () (not @t240)) % 211.55/211.84 (define @t242 () (@list @t240)) % 211.55/211.84 (define @t243 () (tptp.in @t104 @t96)) % 211.55/211.84 (define @t244 () (not @t243)) % 211.55/211.84 (define @t245 () (tptp.in @t102 @t104)) % 211.55/211.84 (define @t246 () (not @t245)) % 211.55/211.84 (define @t247 () (or @t246 @t244)) % 211.55/211.84 (define @t248 () (not @t247)) % 211.55/211.84 (define @t249 () (@list @t247)) % 211.55/211.84 (define @t250 () (tptp.ordinal @t104)) % 211.55/211.84 (define @t251 () (or @t157 @t244 @t250)) % 211.55/211.84 (define @t252 () (@var "BOUND_VARIABLE_7771" $$unsorted)) % 211.55/211.84 (define @t253 () (tptp.in @t252 @t1)) % 211.55/211.84 (define @t254 () (= @t1 @t252)) % 211.55/211.84 (define @t255 () (tptp.in @t1 @t252)) % 211.55/211.84 (define @t256 () (not (tptp.ordinal @t252))) % 211.55/211.84 (define @t257 () (or @t256 @t255 @t254 @t253)) % 211.55/211.84 (define @t258 () (or @t95 @t257)) % 211.55/211.84 (define @t259 () (forall (@list @t1 @t252) @t258)) % 211.55/211.84 (define @t260 () (@list @t252)) % 211.55/211.84 (define @t261 () (forall @t260 @t258)) % 211.55/211.84 (define @t262 () (forall @t260 @t257)) % 211.55/211.84 (define @t263 () (or @t95 @t262)) % 211.55/211.84 (define @t264 () (or @t93 @t5 @t69 @t3)) % 211.55/211.84 (define @t265 () (forall @t28 @t264)) % 211.55/211.84 (define @t266 () (not @t4)) % 211.55/211.84 (define @t267 () (not @t70)) % 211.55/211.84 (define @t268 () (not @t71)) % 211.55/211.84 (define @t269 () (or @t268 @t267 @t266)) % 211.55/211.84 (define @t270 () (forall @t48 (or (not (tptp.in @t233 @t44)) @t97))) % 211.55/211.84 (define @t271 () (@quantifiers_skolemize @t270 0)) % 211.55/211.84 (define @t272 () (not @t270)) % 211.55/211.84 (define @t273 () (= @t272 @t238)) % 211.55/211.84 (define @t274 () (= @t238 @t272)) % 211.55/211.84 (define @t275 () (tptp.in @t271 @t96)) % 211.55/211.84 (define @t276 () (not @t275)) % 211.55/211.84 (define @t277 () (tptp.in @t233 @t271)) % 211.55/211.84 (define @t278 () (not @t277)) % 211.55/211.84 (define @t279 () (or @t278 @t276)) % 211.55/211.84 (define @t280 () (not @t279)) % 211.55/211.84 (define @t281 () (@list @t279)) % 211.55/211.84 (define @t282 () (tptp.ordinal @t271)) % 211.55/211.84 (define @t283 () (or @t157 @t276 @t282)) % 211.55/211.84 (define @t284 () (tptp.ordinal @t233)) % 211.55/211.84 (define @t285 () (not @t282)) % 211.55/211.84 (define @t286 () (or @t285 @t278 @t284)) % 211.55/211.84 (define @t287 () (tptp.ordinal @t102)) % 211.55/211.84 (define @t288 () (not @t287)) % 211.55/211.84 (define @t289 () (not @t284)) % 211.55/211.84 (define @t290 () (or @t289 @t288 @t236 @t235 @t234)) % 211.55/211.84 (define @t291 () (not @t250)) % 211.55/211.84 (define @t292 () (or @t291 @t246 @t287)) % 211.55/211.84 (define @t293 () (not @t292)) % 211.55/211.84 (define @t294 () (forall @t6 @t94)) % 211.55/211.84 (assume @p1 (forall @t6 (=> @t5 @t4))) % 211.55/211.84 (assume @p2 (forall @t9 (=> @t8 @t7))) % 211.55/211.84 (assume @p3 @t14) % 211.55/211.84 (assume @p4 (forall @t9 (=> @t8 @t15))) % 211.55/211.84 (assume @p5 (forall @t9 (=> @t18 @t17))) % 211.55/211.84 (assume @p6 @t19) % 211.55/211.84 (assume @p7 (forall @t9 (=> @t8 @t20))) % 211.55/211.84 (assume @p8 @t26) % 211.55/211.84 (assume @p9 @t31) % 211.55/211.84 (assume @p10 @t43) % 211.55/211.84 (assume @p11 (forall @t9 (= @t13 @t12))) % 211.55/211.84 (assume @p12 @t56) % 211.55/211.84 (assume @p13 (forall @t9 (exists @t28 (tptp.element @t2 @t1)))) % 211.55/211.84 (assume @p14 (and @t59 @t58 @t57)) % 211.55/211.84 (assume @p15 @t59) % 211.55/211.84 (assume @p16 (and @t58 @t57 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t59 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) @t60)) % 211.55/211.84 (assume @p17 (and @t59 @t58)) % 211.55/211.84 (assume @p18 (exists @t9 (and @t15 @t7))) % 211.55/211.84 (assume @p19 (exists @t9 @t20)) % 211.55/211.84 (assume @p20 (exists @t9 (and @t8 @t15))) % 211.55/211.84 (assume @p21 (exists @t9 @t8)) % 211.55/211.84 (assume @p22 (exists @t9 @t18)) % 211.55/211.84 (assume @p23 (exists @t9 (and @t15 @t7 @t16 @t8 @t11 @t10 @t13))) % 211.55/211.84 (assume @p24 (exists @t9 (and @t61 @t15))) % 211.55/211.84 (assume @p25 (exists @t9 @t61)) % 211.55/211.84 (assume @p26 (exists @t9 @t17)) % 211.55/211.84 (assume @p27 (exists @t9 (and @t15 @t62))) % 211.55/211.84 (assume @p28 (exists @t9 (and @t15 @t62 @t7))) % 211.55/211.84 (assume @p29 (exists @t9 (and @t15 (tptp.relation_non_empty @t1) @t7))) % 211.55/211.84 (assume @p30 @t65) % 211.55/211.84 (assume @p31 (forall @t6 (=> @t25 (tptp.ordinal_subset @t1 @t1)))) % 211.55/211.84 (assume @p32 (forall @t6 (tptp.subset @t1 @t1))) % 211.55/211.84 (assume @p33 (forall @t6 (=> @t5 @t66))) % 211.55/211.84 (assume @p34 @t68) % 211.55/211.84 (assume @p35 @t75) % 211.55/211.84 (assume @p36 @t78) % 211.55/211.84 (assume @p37 @t81) % 211.55/211.84 (assume @p38 @t83) % 211.55/211.84 (assume @p39 @t88) % 211.55/211.84 (assume @p40 @t90) % 211.55/211.84 (assume @p41 (forall @t9 (=> @t8 (= @t1 tptp.empty_set)))) % 211.55/211.84 (assume @p42 (forall @t6 (not (and @t5 @t76)))) % 211.55/211.84 (assume @p43 (forall @t6 (not (and @t8 @t70 @t76)))) % 211.55/211.84 (assume @p44 @t92) % 211.55/211.84 (assume @p45 true) % 211.55/211.84 (step @p46 :rule aci_norm :args ((= (or @t93 (or @t71 @t13)) @t94))) % 211.55/211.84 (step @p47 :rule bool-impl-elim :args (@t5 @t13)) % 211.55/211.84 (step @p48 :rule refl :args (@t93)) % 211.55/211.84 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t93 @t67))) % 211.55/211.84 (step @p50 :rule trans :premises (@p49 @p46)) % 211.55/211.84 (step @p51 :rule bool-impl-elim :args (@t24 @t67)) % 211.55/211.84 (step @p52 :rule trans :premises (@p51 @p50)) % 211.55/211.84 (step @p53 :rule cong :premises (@p52) :args (@t68)) % 211.55/211.84 (step @p54 :rule eq_resolve :premises (@p34 @p53)) % 211.55/211.84 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t104 @t96))) % 211.55/211.84 (step @p56 :rule bool-and-de-morgan :args (@t46 @t45 true)) % 211.55/211.84 (step @p57 :rule cong :premises (@p56) :args (@t105)) % 211.55/211.84 (step @p58 :rule cong :premises (@p57) :args (@t106)) % 211.55/211.84 (step @p59 :rule exists-elim :args ((= @t49 @t106))) % 211.55/211.84 (step @p60 :rule trans :premises (@p59 @p58)) % 211.55/211.84 (step @p61 :rule refl :args (@t33)) % 211.55/211.84 (step @p62 :rule cong :premises (@p61 @p60) :args (@t50)) % 211.55/211.84 (step @p63 :rule cong :premises (@p62) :args (@t52)) % 211.55/211.84 (step @p64 :rule refl :args (@t54)) % 211.55/211.84 (step @p65 :rule cong :premises (@p64 @p63) :args (@t55)) % 211.55/211.84 (step @p66 :rule cong :premises (@p65) :args (@t56)) % 211.55/211.84 (step @p67 :rule eq_resolve :premises (@p12 @p66)) % 211.55/211.84 (step @p68 :rule bool-eq-true :args (@t109)) % 211.55/211.84 (step @p69 :rule eq-symm :args (true @t109)) % 211.55/211.84 (step @p70 :rule trans :premises (@p69 @p68)) % 211.55/211.84 (step @p71 :rule eq-symm :args (@t99 @t108)) % 211.55/211.84 (step @p72 :rule cong :premises (@p71) :args (@t110)) % 211.55/211.84 (step @p73 :rule eq-refl :args (@t98)) % 211.55/211.84 (step @p74 :rule cong :premises (@p73 @p72) :args (@t111)) % 211.55/211.84 (step @p75 :rule trans :premises (@p74 @p70)) % 211.55/211.84 (step @p76 :rule refl :args (@t112)) % 211.55/211.84 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t112 @t111))) % 211.55/211.84 (assume-push @p553 @t112) % 211.55/211.84 (step @p79 :rule instantiate :premises (@p67) :args ((@list @t96 @t98))) % 211.55/211.84 (step-pop @p554 :rule scope :premises (@p79)) % 211.55/211.84 (step @p80 :rule process_scope :premises (@p554) :args (@t111)) % 211.55/211.84 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 211.55/211.84 (step @p83 :rule implies_elim :premises (@p82)) % 211.55/211.84 (step @p84 :rule chain_m_resolution :premises (@p83 @p67) :args (@t109 @t113 (@list @t112))) % 211.55/211.84 (step @p85 :rule eq-symm :args (@t114 @t115)) % 211.55/211.84 (step @p86 :rule refl :args (@t109)) % 211.55/211.84 (step @p87 :rule cong :premises (@p86 @p85) :args ((=> @t109 @t116))) % 211.55/211.84 (assume-push @p555 @t109) % 211.55/211.84 (step @p89 :rule instantiate :premises (@p84) :args ((@list @t102))) % 211.55/211.84 (step-pop @p556 :rule scope :premises (@p89)) % 211.55/211.84 (step @p90 :rule process_scope :premises (@p556) :args (@t116)) % 211.55/211.84 (step @p92 :rule eq_resolve :premises (@p90 @p87)) % 211.55/211.84 (step @p93 :rule implies_elim :premises (@p92)) % 211.55/211.84 (step @p94 :rule chain_m_resolution :premises (@p93 @p84) :args (@t117 @t113 @t118)) % 211.55/211.84 (step @p95 :rule bool-double-not-elim :args (@t33)) % 211.55/211.84 (step @p96 :rule bool-double-not-elim :args (@t35)) % 211.55/211.84 (step @p97 :rule bool-double-not-elim :args (@t37)) % 211.55/211.84 (step @p98 :rule refl :args (@t119)) % 211.55/211.84 (step @p99 :rule refl :args (@t4)) % 211.55/211.84 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97 @p96 @p95) :args (@t123)) % 211.55/211.84 (step @p101 :rule aci_norm :args ((= (or @t4 (or @t119 (or @t122 (or @t121 @t120)))) @t123))) % 211.55/211.84 (step @p102 :rule trans :premises (@p101 @p100)) % 211.55/211.84 (step @p103 :rule bool-and-de-morgan :args (@t36 @t34 true)) % 211.55/211.84 (step @p104 :rule refl :args (@t122)) % 211.55/211.84 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t122 (not (and @t36 @t34))))) % 211.55/211.84 (step @p106 :rule bool-and-de-morgan :args (@t38 @t36 (and @t34))) % 211.55/211.84 (step @p107 :rule trans :premises (@p106 @p105)) % 211.55/211.84 (step @p108 :rule nary_cong :premises (@p98 @p107) :args ((or @t119 (not (and @t38 @t36 @t34))))) % 211.55/211.84 (step @p109 :rule bool-and-de-morgan :args (@t39 @t38 (and @t36 @t34))) % 211.55/211.84 (step @p110 :rule trans :premises (@p109 @p108)) % 211.55/211.84 (step @p111 :rule nary_cong :premises (@p99 @p110) :args ((or @t4 (not (and @t39 @t38 @t36 @t34))))) % 211.55/211.84 (step @p112 :rule bool-and-de-morgan :args (@t3 @t39 (and @t38 @t36 @t34))) % 211.55/211.84 (step @p113 :rule trans :premises (@p112 @p111)) % 211.55/211.84 (step @p114 :rule trans :premises (@p113 @p102)) % 211.55/211.84 (step @p115 :rule cong :premises (@p114) :args (@t41)) % 211.55/211.84 (step @p116 :rule refl :args (@t10)) % 211.55/211.84 (step @p117 :rule cong :premises (@p116 @p115) :args (@t42)) % 211.55/211.84 (step @p118 :rule cong :premises (@p117) :args (@t43)) % 211.55/211.84 (step @p119 :rule eq_resolve :premises (@p10 @p118)) % 211.55/211.84 (step @p120 :rule instantiate :premises (@p119) :args (@t124)) % 211.55/211.84 (step @p121 :rule aci_norm :args ((= (or (or @t126 @t125) @t13) (or @t126 @t125 @t13)))) % 211.55/211.84 (step @p122 :rule refl :args (@t13)) % 211.55/211.84 (step @p123 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 211.55/211.84 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or (not @t12) @t13))) % 211.55/211.84 (step @p125 :rule trans :premises (@p124 @p121)) % 211.55/211.84 (step @p126 :rule bool-impl-elim :args (@t12 @t13)) % 211.55/211.84 (step @p127 :rule trans :premises (@p126 @p125)) % 211.55/211.84 (step @p128 :rule cong :premises (@p127) :args (@t19)) % 211.55/211.84 (step @p129 :rule eq_resolve :premises (@p6 @p128)) % 211.55/211.84 (step @p130 :rule instantiate :premises (@p129) :args (@t124)) % 211.55/211.84 (step @p131 :rule bool-impl-elim :args (@t3 @t27)) % 211.55/211.84 (step @p132 :rule cong :premises (@p131) :args (@t29)) % 211.55/211.84 (step @p133 :rule refl :args (@t11)) % 211.55/211.84 (step @p134 :rule cong :premises (@p133 @p132) :args (@t30)) % 211.55/211.84 (step @p135 :rule cong :premises (@p134) :args (@t31)) % 211.55/211.84 (step @p136 :rule eq_resolve :premises (@p9 @p135)) % 211.55/211.84 (step @p137 :rule instantiate :premises (@p136) :args (@t124)) % 211.55/211.84 (step @p138 :rule bool-double-not-elim :args (@t129)) % 211.55/211.84 (step @p139 :rule refl :args (@t132)) % 211.55/211.84 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t132 (not @t131)))) % 211.55/211.84 (step @p141 :rule cnf_or_neg :args (@t132 0)) % 211.55/211.84 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 211.55/211.84 (step @p143 :rule reordering :premises (@p142) :args ((or @t129 @t132))) % 211.55/211.84 (step @p144 :rule cnf_or_neg :args (@t132 1)) % 211.55/211.84 (step @p145 :rule eq-symm :args (@t134 @t129)) % 211.55/211.84 (step @p146 :rule cong :premises (@p86 @p145) :args ((=> @t109 @t135))) % 211.55/211.84 (assume-push @p557 @t109) % 211.55/211.84 (step @p148 :rule instantiate :premises (@p84) :args ((@list @t128))) % 211.55/211.84 (step-pop @p558 :rule scope :premises (@p148)) % 211.55/211.84 (step @p149 :rule process_scope :premises (@p558) :args (@t135)) % 211.55/211.84 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 211.55/211.84 (step @p152 :rule implies_elim :premises (@p151)) % 211.55/211.84 (step @p153 :rule chain_m_resolution :premises (@p152 @p84) :args (@t136 @t113 @t118)) % 211.55/211.84 (step @p154 :rule cnf_equiv_pos1 :args (@t136)) % 211.55/211.84 (step @p155 :rule reordering :premises (@p154) :args ((or @t131 @t134 (not @t136)))) % 211.55/211.84 (step @p156 :rule bool-impl-elim :args (@t5 @t91)) % 211.55/211.84 (step @p157 :rule cong :premises (@p156) :args (@t92)) % 211.55/211.84 (step @p158 :rule eq_resolve :premises (@p44 @p157)) % 211.55/211.84 (step @p159 :rule instantiate :premises (@p158) :args (@t137)) % 211.55/211.84 (step @p160 :rule cnf_or_pos :args (@t140)) % 211.55/211.84 (step @p161 :rule reordering :premises (@p160) :args ((or @t130 @t139 (not @t140)))) % 211.55/211.84 (step @p162 :rule refl :args (@t147)) % 211.55/211.84 (step @p163 :rule bool-double-not-elim :args (@t133)) % 211.55/211.84 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or (not @t134) @t147))) % 211.55/211.84 (assume-push @p559 @t134) % 211.55/211.84 (step @p166 :rule skolemize :premises (@p559)) % 211.55/211.84 (step-pop @p560 :rule scope :premises (@p166)) % 211.55/211.84 (step @p167 :rule process_scope :premises (@p560) :args (@t147)) % 211.55/211.84 (step @p169 :rule implies_elim :premises (@p167)) % 211.55/211.84 (step @p170 :rule eq_resolve :premises (@p169 @p164)) % 211.55/211.84 (step @p171 :rule aci_norm :args ((= (or @t71 (or @t149 @t148)) (or @t71 @t149 @t148)))) % 211.55/211.84 (step @p172 :rule bool-and-de-morgan :args (@t85 @t89 true)) % 211.55/211.84 (step @p173 :rule refl :args (@t71)) % 211.55/211.84 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t71 (not (and @t85 @t89))))) % 211.55/211.84 (step @p175 :rule bool-and-de-morgan :args (@t5 @t85 (and @t89))) % 211.55/211.84 (step @p176 :rule trans :premises (@p175 @p174)) % 211.55/211.84 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cnf_or_neg :args (@t240 1)) % 211.55/211.84 (step @p415 :rule eq_resolve :premises (@p414 @p413)) % 211.55/211.84 (step @p416 :rule reordering :premises (@p415) :args ((or @t115 @t240))) % 211.55/211.84 (step @p417 :rule chain_m_resolution :premises (@p416 @p410) :args (@t115 @t159 @t242)) % 211.55/211.84 (step @p418 :rule cnf_equiv_pos1 :args (@t117)) % 211.55/211.84 (step @p419 :rule reordering :premises (@p418) :args ((or @t237 @t114 (not @t117)))) % 211.55/211.84 (step @p420 :rule chain_m_resolution :premises (@p419 @p417 @p94) :args (@t114 @t164 (@list @t115 @t117))) % 211.55/211.84 (step @p421 :rule refl :args (@t248)) % 211.55/211.84 (step @p422 :rule bool-double-not-elim :args (@t103)) % 211.55/211.84 (step @p423 :rule nary_cong :premises (@p422 @p421) :args ((or (not @t114) @t248))) % 211.55/211.84 (assume-push @p583 @t114) % 211.55/211.84 (step @p425 :rule skolemize :premises (@p583)) % 211.55/211.84 (step-pop @p584 :rule scope :premises (@p425)) % 211.55/211.84 (step @p426 :rule process_scope :premises (@p584) :args (@t248)) % 211.55/211.84 (step @p428 :rule implies_elim :premises (@p426)) % 211.55/211.84 (step @p429 :rule eq_resolve :premises (@p428 @p423)) % 211.55/211.84 (step @p430 :rule chain_m_resolution :premises (@p429 @p420) :args (@t248 @t159 (@list @t103))) % 211.55/211.84 (step @p431 :rule bool-double-not-elim :args (@t243)) % 211.55/211.84 (step @p432 :rule refl :args (@t247)) % 211.55/211.84 (step @p433 :rule nary_cong :premises (@p432 @p431) :args ((or @t247 (not @t244)))) % 211.55/211.84 (step @p434 :rule cnf_or_neg :args (@t247 1)) % 211.55/211.84 (step @p435 :rule eq_resolve :premises (@p434 @p433)) % 211.55/211.84 (step @p436 :rule reordering :premises (@p435) :args ((or @t243 @t247))) % 211.55/211.84 (step @p437 :rule chain_m_resolution :premises (@p436 @p430) :args (@t243 @t159 @t249)) % 211.55/211.84 (step @p438 :rule cnf_or_pos :args (@t251)) % 211.55/211.84 (step @p439 :rule reordering :premises (@p438) :args ((or @t157 @t244 @t250 (not @t251)))) % 211.55/211.84 (step @p440 :rule chain_m_resolution :premises (@p439 @p201 @p437 @p55) :args (@t250 @t193 (@list @t155 @t243 @t251))) % 211.55/211.84 (step @p441 :rule bool-double-not-elim :args (@t245)) % 211.55/211.84 (step @p442 :rule nary_cong :premises (@p432 @p441) :args ((or @t247 (not @t246)))) % 211.55/211.84 (step @p443 :rule cnf_or_neg :args (@t247 0)) % 211.55/211.84 (step @p444 :rule eq_resolve :premises (@p443 @p442)) % 211.55/211.84 (step @p445 :rule reordering :premises (@p444) :args ((or @t245 @t247))) % 211.55/211.84 (step @p446 :rule chain_m_resolution :premises (@p445 @p430) :args (@t245 @t159 @t249)) % 211.55/211.84 (step @p447 :rule aci_norm :args ((= @t258 (or @t95 @t256 @t255 @t254 @t253)))) % 211.55/211.84 (step @p448 :rule cong :premises (@p447) :args (@t259)) % 211.55/211.84 (step @p449 :rule quant-merge-prenex :args ((= (forall @t9 @t261) @t259))) % 211.55/211.84 (step @p450 :rule alpha_equiv :args (@t262 (@list @t252) (@list @t2))) % 211.55/211.84 (step @p451 :rule refl :args (@t95)) % 211.55/211.84 (step @p452 :rule nary_cong :premises (@p451 @p450) :args (@t263)) % 211.55/211.84 (step @p453 :rule quant-miniscope-or :args ((= @t261 @t263))) % 211.55/211.84 (step @p454 :rule trans :premises (@p453 @p452)) % 211.55/211.84 (step @p455 :rule symm :premises (@p454)) % 211.55/211.84 (step @p456 :rule cong :premises (@p455) :args ((forall @t9 (or @t95 @t265)))) % 211.55/211.84 (step @p457 :rule trans :premises (@p456 @p449)) % 211.55/211.84 (step @p458 :rule trans :premises (@p457 @p448)) % 211.55/211.84 (step @p459 :rule bool-impl-elim :args (@t13 @t265)) % 211.55/211.84 (step @p460 :rule cong :premises (@p459) :args ((forall @t9 (=> @t13 @t265)))) % 211.55/211.84 (step @p461 :rule trans :premises (@p460 @p458)) % 211.55/211.84 (step @p462 :rule aci_norm :args ((= (or @t93 (or @t5 @t69 @t3)) @t264))) % 211.55/211.84 (step @p463 :rule bool-double-not-elim :args (@t3)) % 211.55/211.84 (step @p464 :rule bool-double-not-elim :args (@t69)) % 211.55/211.84 (step @p465 :rule bool-double-not-elim :args (@t5)) % 211.55/211.84 (step @p466 :rule nary_cong :premises (@p465 @p464 @p463) :args (@t269)) % 211.55/211.84 (step @p467 :rule aci_norm :args ((= (or @t268 (or @t267 @t266)) @t269))) % 211.55/211.84 (step @p468 :rule trans :premises (@p467 @p466)) % 211.55/211.84 (step @p469 :rule bool-and-de-morgan :args (@t70 @t4 true)) % 211.55/211.84 (step @p470 :rule refl :args (@t268)) % 211.55/211.84 (step @p471 :rule nary_cong :premises (@p470 @p469) :args ((or @t268 (not (and @t70 @t4))))) % 211.55/211.84 (step @p472 :rule bool-and-de-morgan :args (@t71 @t70 (and @t4))) % 211.55/211.84 (step @p473 :rule trans :premises (@p472 @p471)) % 211.55/211.84 (step @p474 :rule trans :premises (@p473 @p468)) % 211.55/211.84 (step @p475 :rule nary_cong :premises (@p48 @p474) :args ((or @t93 @t72))) % 211.55/211.84 (step @p476 :rule trans :premises (@p475 @p462)) % 211.55/211.84 (step @p477 :rule bool-impl-elim :args (@t24 @t72)) % 211.55/211.84 (step @p478 :rule trans :premises (@p477 @p476)) % 211.55/211.84 (step @p479 :rule cong :premises (@p478) :args (@t73)) % 211.55/211.84 (step @p480 :rule refl :args (@t13)) % 211.55/211.84 (step @p481 :rule cong :premises (@p480 @p479) :args (@t74)) % 211.55/211.84 (step @p482 :rule cong :premises (@p481) :args (@t75)) % 211.55/211.84 (step @p483 :rule trans :premises (@p482 @p461)) % 211.55/211.84 (step @p484 :rule eq_resolve :premises (@p35 @p483)) % 211.55/211.84 (step @p485 :rule instantiate :premises (@p484) :args ((@list @t233 @t102))) % 211.55/211.84 (step @p486 :rule instantiate :premises (@p54) :args ((@list @t233 @t271))) % 211.55/211.84 (step @p487 :rule instantiate :premises (@p54) :args ((@list @t271 @t96))) % 211.55/211.84 (step @p488 :rule eq-symm :args (@t272 @t238)) % 211.55/211.84 (step @p489 :rule cong :premises (@p86 @p488) :args ((=> @t109 @t273))) % 211.55/211.84 (assume-push @p585 @t109) % 211.55/211.84 (step @p491 :rule instantiate :premises (@p84) :args ((@list @t233))) % 211.55/211.84 (step-pop @p586 :rule scope :premises (@p491)) % 211.55/211.84 (step @p492 :rule process_scope :premises (@p586) :args (@t273)) % 211.55/211.84 (step @p494 :rule eq_resolve :premises (@p492 @p489)) % 211.55/211.84 (step @p495 :rule implies_elim :premises (@p494)) % 211.55/211.84 (step @p496 :rule chain_m_resolution :premises (@p495 @p84) :args (@t274 @t113 @t118)) % 211.55/211.84 (step @p497 :rule bool-double-not-elim :args (@t238)) % 211.55/211.84 (step @p498 :rule nary_cong :premises (@p412 @p497) :args ((or @t240 (not @t239)))) % 211.55/211.84 (step @p499 :rule cnf_or_neg :args (@t240 0)) % 211.55/211.84 (step @p500 :rule eq_resolve :premises (@p499 @p498)) % 211.55/211.84 (step @p501 :rule reordering :premises (@p500) :args ((or @t238 @t240))) % 211.55/211.84 (step @p502 :rule chain_m_resolution :premises (@p501 @p410) :args (@t238 @t159 @t242)) % 211.55/211.84 (step @p503 :rule cnf_equiv_pos1 :args (@t274)) % 211.55/211.84 (step @p504 :rule reordering :premises (@p503) :args ((or @t239 @t272 (not @t274)))) % 211.55/211.84 (step @p505 :rule chain_m_resolution :premises (@p504 @p502 @p496) :args (@t272 @t164 (@list @t238 @t274))) % 211.55/211.84 (step @p506 :rule refl :args (@t280)) % 211.55/211.84 (step @p507 :rule bool-double-not-elim :args (@t270)) % 211.55/211.84 (step @p508 :rule nary_cong :premises (@p507 @p506) :args ((or (not @t272) @t280))) % 211.55/211.84 (assume-push @p587 @t272) % 211.55/211.84 (step @p510 :rule skolemize :premises (@p587)) % 211.55/211.84 (step-pop @p588 :rule scope :premises (@p510)) % 211.55/211.84 (step @p511 :rule process_scope :premises (@p588) :args (@t280)) % 211.55/211.84 (step @p513 :rule implies_elim :premises (@p511)) % 211.55/211.84 (step @p514 :rule eq_resolve :premises (@p513 @p508)) % 211.55/211.84 (step @p515 :rule chain_m_resolution :premises (@p514 @p505) :args (@t280 @t159 (@list @t270))) % 211.55/211.84 (step @p516 :rule bool-double-not-elim :args (@t275)) % 211.55/211.84 (step @p517 :rule refl :args (@t279)) % 211.55/211.84 (step @p518 :rule nary_cong :premises (@p517 @p516) :args ((or @t279 (not @t276)))) % 211.55/211.84 (step @p519 :rule cnf_or_neg :args (@t279 1)) % 211.55/211.84 (step @p520 :rule eq_resolve :premises (@p519 @p518)) % 211.55/211.84 (step @p521 :rule reordering :premises (@p520) :args ((or @t275 @t279))) % 211.55/211.84 (step @p522 :rule chain_m_resolution :premises (@p521 @p515) :args (@t275 @t159 @t281)) % 211.55/211.84 (step @p523 :rule cnf_or_pos :args (@t283)) % 211.55/211.84 (step @p524 :rule reordering :premises (@p523) :args ((or @t157 @t276 @t282 (not @t283)))) % 211.55/211.84 (step @p525 :rule chain_m_resolution :premises (@p524 @p201 @p522 @p487) :args (@t282 @t193 (@list @t155 @t275 @t283))) % 211.55/211.84 (step @p526 :rule bool-double-not-elim :args (@t277)) % 211.55/211.84 (step @p527 :rule nary_cong :premises (@p517 @p526) :args ((or @t279 (not @t278)))) % 211.55/211.84 (step @p528 :rule cnf_or_neg :args (@t279 0)) % 211.55/211.84 (step @p529 :rule eq_resolve :premises (@p528 @p527)) % 211.55/211.84 (step @p530 :rule reordering :premises (@p529) :args ((or @t277 @t279))) % 211.55/211.84 (step @p531 :rule chain_m_resolution :premises (@p530 @p515) :args (@t277 @t159 @t281)) % 211.55/211.84 (step @p532 :rule cnf_or_pos :args (@t286)) % 211.55/211.84 (step @p533 :rule reordering :premises (@p532) :args ((or @t284 @t278 @t285 (not @t286)))) % 211.55/211.84 (step @p534 :rule chain_m_resolution :premises (@p533 @p531 @p525 @p486) :args (@t284 @t193 (@list @t277 @t282 @t286))) % 211.55/211.85 (step @p535 :rule cnf_or_neg :args (@t240 4)) % 211.55/211.85 (step @p536 :rule chain_m_resolution :premises (@p535 @p410) :args ((not @t234) @t159 @t242)) % 211.55/211.85 (step @p537 :rule cnf_or_neg :args (@t240 3)) % 211.55/211.85 (step @p538 :rule chain_m_resolution :premises (@p537 @p410) :args ((not @t235) @t159 @t242)) % 211.55/211.85 (step @p539 :rule cnf_or_neg :args (@t240 2)) % 211.55/211.85 (step @p540 :rule chain_m_resolution :premises (@p539 @p410) :args ((not @t236) @t159 @t242)) % 211.55/211.85 (step @p541 :rule cnf_or_pos :args (@t290)) % 211.55/211.85 (step @p542 :rule reordering :premises (@p541) :args ((or @t236 @t235 @t234 @t289 @t288 (not @t290)))) % 211.55/211.85 (step @p543 :rule chain_m_resolution :premises (@p542 @p540 @p538 @p536 @p534 @p485) :args (@t288 (@list true true true false false) (@list @t236 @t235 @t234 @t284 @t290))) % 211.55/211.85 (step @p544 :rule cnf_or_pos :args (@t292)) % 211.55/211.85 (step @p545 :rule reordering :premises (@p544) :args ((or @t287 @t246 @t291 @t293))) % 211.55/211.85 (step @p546 :rule chain_m_resolution :premises (@p545 @p543 @p446 @p440) :args (@t293 @t230 (@list @t287 @t245 @t250))) % 211.55/211.85 (assume-push @p589 @t294) % 211.55/211.85 (step @p548 :rule instantiate :premises (@p54) :args ((@list @t102 @t104))) % 211.55/211.85 (step-pop @p590 :rule scope :premises (@p548)) % 211.55/211.85 (step @p549 :rule process_scope :premises (@p590) :args (@t292)) % 211.55/211.85 (step @p551 :rule implies_elim :premises (@p549)) % 211.55/211.85 (step @p552 false :rule chain_m_resolution :premises (@p551 @p546 @p54) :args (false @t174 (@list @t292 @t294))) % 211.55/211.85 ) % 211.55/211.85 % SZS output end Proof % 211.55/211.85 % cvc5 exiting %------------------------------------------------------------------------------