%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET772+4 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:48:37 AM UTC 2026 % Result : Theorem 0.44s 0.64s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET772+4 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.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 16:11:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.64 % SZS status Theorem % 0.44/0.64 % SZS output start Proof % 0.44/0.64 ( % 0.44/0.64 (declare-sort $$unsorted 0) % 0.44/0.64 (declare-const tptp.pre_order (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.equivalence (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.equivalence_class (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.empty_set $$unsorted) % 0.44/0.64 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.partition (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (define @t1 () (@var "B" $$unsorted)) % 0.44/0.64 (define @t2 () (@var "X" $$unsorted)) % 0.44/0.64 (define @t3 () (tptp.member @t2 @t1)) % 0.44/0.64 (define @t4 () (@var "A" $$unsorted)) % 0.44/0.64 (define @t5 () (tptp.member @t2 @t4)) % 0.44/0.64 (define @t6 () (@list @t2)) % 0.44/0.64 (define @t7 () (tptp.subset @t4 @t1)) % 0.44/0.64 (define @t8 () (@list @t4 @t1)) % 0.44/0.64 (define @t9 () (@list @t2 @t4)) % 0.44/0.64 (define @t10 () (and @t5 @t3)) % 0.44/0.64 (define @t11 () (@list @t2 @t4 @t1)) % 0.44/0.64 (define @t12 () (@var "E" $$unsorted)) % 0.44/0.64 (define @t13 () (= @t2 @t4)) % 0.44/0.64 (define @t14 () (@var "Y" $$unsorted)) % 0.44/0.64 (define @t15 () (tptp.member @t2 @t14)) % 0.44/0.64 (define @t16 () (tptp.member @t14 @t4)) % 0.44/0.64 (define @t17 () (and @t16 @t15)) % 0.44/0.64 (define @t18 () (@list @t14)) % 0.44/0.64 (define @t19 () (exists @t18 @t17)) % 0.44/0.64 (define @t20 () (= @t2 @t14)) % 0.44/0.64 (define @t21 () (@var "Z" $$unsorted)) % 0.44/0.64 (define @t22 () (tptp.member @t21 @t14)) % 0.44/0.64 (define @t23 () (tptp.member @t21 @t2)) % 0.44/0.64 (define @t24 () (and @t23 @t22)) % 0.44/0.64 (define @t25 () (@list @t21)) % 0.44/0.64 (define @t26 () (exists @t25 @t24)) % 0.44/0.64 (define @t27 () (=> @t26 @t20)) % 0.44/0.64 (define @t28 () (and @t5 @t16)) % 0.44/0.64 (define @t29 () (=> @t28 @t27)) % 0.44/0.64 (define @t30 () (@list @t2 @t14)) % 0.44/0.64 (define @t31 () (forall @t30 @t29)) % 0.44/0.64 (define @t32 () (tptp.member @t2 @t12)) % 0.44/0.64 (define @t33 () (=> @t32 @t19)) % 0.44/0.64 (define @t34 () (forall @t6 @t33)) % 0.44/0.64 (define @t35 () (tptp.subset @t2 @t12)) % 0.44/0.64 (define @t36 () (forall @t6 (=> @t5 @t35))) % 0.44/0.64 (define @t37 () (and @t36 @t34 @t31)) % 0.44/0.64 (define @t38 () (tptp.partition @t4 @t12)) % 0.44/0.64 (define @t39 () (= @t38 @t37)) % 0.44/0.64 (define @t40 () (forall (@list @t4 @t12) @t39)) % 0.44/0.64 (define @t41 () (@var "R" $$unsorted)) % 0.44/0.64 (define @t42 () (tptp.apply @t41 @t2 @t21)) % 0.44/0.64 (define @t43 () (tptp.apply @t41 @t14 @t21)) % 0.44/0.64 (define @t44 () (tptp.apply @t41 @t2 @t14)) % 0.44/0.64 (define @t45 () (and @t44 @t43)) % 0.44/0.64 (define @t46 () (=> @t45 @t42)) % 0.44/0.64 (define @t47 () (tptp.member @t21 @t4)) % 0.44/0.64 (define @t48 () (and @t5 @t16 @t47)) % 0.44/0.64 (define @t49 () (@list @t2 @t14 @t21)) % 0.44/0.64 (define @t50 () (forall @t49 (=> @t48 @t46))) % 0.44/0.64 (define @t51 () (tptp.apply @t41 @t14 @t2)) % 0.44/0.64 (define @t52 () (=> @t44 @t51)) % 0.44/0.64 (define @t53 () (forall @t30 (=> @t28 @t52))) % 0.44/0.64 (define @t54 () (tptp.apply @t41 @t2 @t2)) % 0.44/0.64 (define @t55 () (forall @t6 (=> @t5 @t54))) % 0.44/0.64 (define @t56 () (and @t55 @t53 @t50)) % 0.44/0.64 (define @t57 () (tptp.equivalence @t41 @t4)) % 0.44/0.64 (define @t58 () (= @t57 @t56)) % 0.44/0.64 (define @t59 () (forall (@list @t4 @t41) @t58)) % 0.44/0.64 (define @t60 () (tptp.member @t14 @t12)) % 0.44/0.64 (define @t61 () (tptp.equivalence @t41 @t12)) % 0.44/0.64 (define @t62 () (tptp.member @t14 @t21)) % 0.44/0.64 (define @t63 () (tptp.member @t2 @t21)) % 0.44/0.64 (define @t64 () (and @t47 @t63 @t62)) % 0.44/0.64 (define @t65 () (exists @t25 @t64)) % 0.44/0.64 (define @t66 () (= @t44 @t65)) % 0.44/0.64 (define @t67 () (and @t32 @t60)) % 0.44/0.64 (define @t68 () (=> @t67 @t66)) % 0.44/0.64 (define @t69 () (forall @t30 @t68)) % 0.44/0.64 (define @t70 () (=> @t69 @t61)) % 0.44/0.64 (define @t71 () (=> @t38 @t70)) % 0.44/0.64 (define @t72 () (@list @t4 @t12 @t41)) % 0.44/0.64 (define @t73 () (forall @t72 @t71)) % 0.44/0.64 (define @t74 () (not @t73)) % 0.44/0.64 (define @t75 () (not @t62)) % 0.44/0.64 (define @t76 () (not @t63)) % 0.44/0.64 (define @t77 () (not @t47)) % 0.44/0.64 (define @t78 () (or @t77 @t76 @t75)) % 0.44/0.64 (define @t79 () (= @t44 (not (forall @t25 @t78)))) % 0.44/0.64 (define @t80 () (not @t60)) % 0.44/0.64 (define @t81 () (not @t32)) % 0.44/0.64 (define @t82 () (or @t81 @t80 @t79)) % 0.44/0.64 (define @t83 () (forall @t30 @t82)) % 0.44/0.64 (define @t84 () (not @t83)) % 0.44/0.64 (define @t85 () (not @t38)) % 0.44/0.64 (define @t86 () (or @t85 @t84 @t61)) % 0.44/0.64 (define @t87 () (=> @t83 @t61)) % 0.44/0.64 (define @t88 () (forall @t25 (not @t64))) % 0.44/0.64 (define @t89 () (not @t88)) % 0.44/0.64 (define @t90 () (forall @t72 @t86)) % 0.44/0.64 (define @t91 () (@quantifiers_skolemize @t90 0)) % 0.44/0.64 (define @t92 () (not (tptp.member @t21 @t91))) % 0.44/0.64 (define @t93 () (@quantifiers_skolemize @t90 2)) % 0.44/0.64 (define @t94 () (tptp.apply @t93 @t2 @t14)) % 0.44/0.64 (define @t95 () (@quantifiers_skolemize @t90 1)) % 0.44/0.64 (define @t96 () (not (tptp.member @t14 @t95))) % 0.44/0.64 (define @t97 () (not (tptp.member @t2 @t95))) % 0.44/0.64 (define @t98 () (forall @t30 (or @t97 @t96 (= @t94 (not (forall @t25 (or @t92 @t76 @t75))))))) % 0.44/0.64 (define @t99 () (tptp.equivalence @t93 @t95)) % 0.44/0.64 (define @t100 () (not @t98)) % 0.44/0.64 (define @t101 () (tptp.partition @t91 @t95)) % 0.44/0.64 (define @t102 () (not @t101)) % 0.44/0.64 (define @t103 () (or @t102 @t100 @t99)) % 0.44/0.64 (define @t104 () (@list true)) % 0.44/0.64 (define @t105 () (@list @t103)) % 0.44/0.64 (define @t106 () (not @t94)) % 0.44/0.64 (define @t107 () (forall @t49 (or @t97 @t96 (not (tptp.member @t21 @t95)) @t106 (not (tptp.apply @t93 @t14 @t21)) (tptp.apply @t93 @t2 @t21)))) % 0.44/0.64 (define @t108 () (@quantifiers_skolemize @t107 1)) % 0.44/0.64 (define @t109 () (@quantifiers_skolemize @t107 0)) % 0.44/0.64 (define @t110 () (forall @t30 (or @t97 @t96 @t106 (tptp.apply @t93 @t14 @t2)))) % 0.44/0.64 (define @t111 () (@quantifiers_skolemize @t110 0)) % 0.44/0.64 (define @t112 () (tptp.member @t111 @t95)) % 0.44/0.64 (define @t113 () (@quantifiers_skolemize @t110 1)) % 0.44/0.64 (define @t114 () (tptp.apply @t93 @t113 @t111)) % 0.44/0.64 (define @t115 () (tptp.apply @t93 @t111 @t113)) % 0.44/0.64 (define @t116 () (not @t115)) % 0.44/0.64 (define @t117 () (tptp.member @t113 @t95)) % 0.44/0.64 (define @t118 () (not @t117)) % 0.44/0.64 (define @t119 () (not @t112)) % 0.44/0.64 (define @t120 () (or @t119 @t118 @t116 @t114)) % 0.44/0.64 (define @t121 () (not (tptp.member @t113 @t21))) % 0.44/0.64 (define @t122 () (not (tptp.member @t111 @t21))) % 0.44/0.64 (define @t123 () (or @t92 @t122 @t121)) % 0.44/0.64 (define @t124 () (forall @t25 @t123)) % 0.44/0.64 (define @t125 () (not @t124)) % 0.44/0.64 (define @t126 () (= @t115 @t125)) % 0.44/0.64 (define @t127 () (or @t119 @t118 @t126)) % 0.44/0.64 (define @t128 () (or @t92 @t121 @t122)) % 0.44/0.64 (define @t129 () (forall @t25 @t128)) % 0.44/0.64 (define @t130 () (not @t129)) % 0.44/0.64 (define @t131 () (= @t114 @t130)) % 0.44/0.64 (define @t132 () (or @t118 @t119 @t131)) % 0.44/0.64 (define @t133 () (not @t131)) % 0.44/0.64 (define @t134 () (not @t120)) % 0.44/0.64 (define @t135 () (not @t110)) % 0.44/0.64 (define @t136 () (@list false)) % 0.44/0.64 (define @t137 () (forall @t6 (or @t97 (tptp.apply @t93 @t2 @t2)))) % 0.44/0.64 (define @t138 () (@quantifiers_skolemize @t137 0)) % 0.44/0.64 (define @t139 () (tptp.member @t138 @t95)) % 0.44/0.64 (define @t140 () (tptp.apply @t93 @t138 @t138)) % 0.44/0.64 (define @t141 () (not @t139)) % 0.44/0.64 (define @t142 () (or @t141 @t140)) % 0.44/0.64 (define @t143 () (not (tptp.member @t138 @t21))) % 0.44/0.64 (define @t144 () (or @t92 @t143)) % 0.44/0.64 (define @t145 () (or @t92 @t143 @t143)) % 0.44/0.64 (define @t146 () (forall @t25 @t145)) % 0.44/0.64 (define @t147 () (not @t146)) % 0.44/0.64 (define @t148 () (= @t140 @t147)) % 0.44/0.64 (define @t149 () (or @t141 @t141 @t148)) % 0.44/0.64 (define @t150 () (forall @t25 @t144)) % 0.44/0.64 (define @t151 () (not @t150)) % 0.44/0.64 (define @t152 () (= @t140 @t151)) % 0.44/0.64 (define @t153 () (or @t141 @t141 @t152)) % 0.44/0.64 (define @t154 () (@var "BOUND_VARIABLE_7653" $$unsorted)) % 0.44/0.64 (define @t155 () (not (tptp.member @t154 @t14))) % 0.44/0.64 (define @t156 () (not (tptp.member @t154 @t2))) % 0.44/0.64 (define @t157 () (not @t16)) % 0.44/0.64 (define @t158 () (not @t5)) % 0.44/0.64 (define @t159 () (or @t156 @t155)) % 0.44/0.64 (define @t160 () (or @t158 @t157 @t159 @t20)) % 0.44/0.64 (define @t161 () (@list @t2 @t14 @t154)) % 0.44/0.64 (define @t162 () (forall @t161 @t160)) % 0.44/0.64 (define @t163 () (@list @t154)) % 0.44/0.64 (define @t164 () (forall @t163 @t160)) % 0.44/0.64 (define @t165 () (forall @t163 @t159)) % 0.44/0.64 (define @t166 () (@list @t21)) % 0.44/0.64 (define @t167 () (or @t158 @t157 @t165 @t20)) % 0.44/0.64 (define @t168 () (forall @t25 (or (not @t23) (not @t22)))) % 0.44/0.64 (define @t169 () (or @t158 @t157 @t168 @t20)) % 0.44/0.64 (define @t170 () (or @t158 @t157)) % 0.44/0.64 (define @t171 () (not @t168)) % 0.44/0.64 (define @t172 () (=> @t171 @t20)) % 0.44/0.64 (define @t173 () (not @t28)) % 0.44/0.64 (define @t174 () (forall @t25 (not @t24))) % 0.44/0.64 (define @t175 () (not @t174)) % 0.44/0.64 (define @t176 () (not @t15)) % 0.44/0.64 (define @t177 () (not (forall @t18 (or @t157 @t176)))) % 0.44/0.64 (define @t178 () (forall @t18 (not @t17))) % 0.44/0.64 (define @t179 () (not @t178)) % 0.44/0.64 (define @t180 () (not (tptp.member @t14 @t91))) % 0.44/0.64 (define @t181 () (not (tptp.member @t2 @t91))) % 0.44/0.64 (define @t182 () (forall @t161 (or @t181 @t180 @t20 @t156 @t155))) % 0.44/0.64 (define @t183 () (forall @t6 (or @t97 (not (forall @t18 (or @t180 @t176)))))) % 0.44/0.64 (define @t184 () (and (forall @t6 (or @t181 (tptp.subset @t2 @t95))) @t183 @t182)) % 0.44/0.64 (define @t185 () (= @t101 @t184)) % 0.44/0.64 (define @t186 () (@list false false)) % 0.44/0.64 (define @t187 () (not @t184)) % 0.44/0.64 (define @t188 () (@list @t184)) % 0.44/0.64 (define @t189 () (forall @t18 (or @t180 (not (tptp.member @t138 @t14))))) % 0.44/0.64 (define @t190 () (not @t189)) % 0.44/0.64 (define @t191 () (or @t141 @t190)) % 0.44/0.64 (define @t192 () (not @t152)) % 0.44/0.64 (define @t193 () (not @t142)) % 0.44/0.64 (define @t194 () (not @t137)) % 0.44/0.64 (define @t195 () (not @t43)) % 0.44/0.64 (define @t196 () (not @t44)) % 0.44/0.64 (define @t197 () (or @t196 @t195 @t42)) % 0.44/0.64 (define @t198 () (or @t158 @t157 @t77)) % 0.44/0.64 (define @t199 () (and @t137 @t110 @t107)) % 0.44/0.64 (define @t200 () (= @t99 @t199)) % 0.44/0.64 (define @t201 () (not @t199)) % 0.44/0.64 (define @t202 () (@list true false)) % 0.44/0.64 (define @t203 () (not @t107)) % 0.44/0.64 (define @t204 () (@quantifiers_skolemize @t107 2)) % 0.44/0.64 (define @t205 () (tptp.apply @t93 @t109 @t204)) % 0.44/0.64 (define @t206 () (tptp.apply @t93 @t108 @t204)) % 0.44/0.64 (define @t207 () (not @t206)) % 0.44/0.64 (define @t208 () (tptp.apply @t93 @t109 @t108)) % 0.44/0.64 (define @t209 () (not @t208)) % 0.44/0.64 (define @t210 () (tptp.member @t204 @t95)) % 0.44/0.64 (define @t211 () (not @t210)) % 0.44/0.64 (define @t212 () (tptp.member @t108 @t95)) % 0.44/0.64 (define @t213 () (not @t212)) % 0.44/0.64 (define @t214 () (tptp.member @t109 @t95)) % 0.44/0.64 (define @t215 () (not @t214)) % 0.44/0.64 (define @t216 () (or @t215 @t213 @t211 @t209 @t207 @t205)) % 0.44/0.64 (define @t217 () (not @t216)) % 0.44/0.64 (define @t218 () (@list @t216)) % 0.44/0.64 (define @t219 () (not (tptp.member @t108 @t21))) % 0.44/0.64 (define @t220 () (not (tptp.member @t109 @t21))) % 0.44/0.64 (define @t221 () (forall @t25 (or @t92 @t220 @t219))) % 0.44/0.64 (define @t222 () (not @t221)) % 0.44/0.64 (define @t223 () (= @t208 @t222)) % 0.44/0.64 (define @t224 () (or @t215 @t213 @t223)) % 0.44/0.64 (define @t225 () (@list false false false)) % 0.44/0.64 (define @t226 () (@quantifiers_skolemize @t221 0)) % 0.44/0.64 (define @t227 () (tptp.member @t108 @t226)) % 0.44/0.64 (define @t228 () (not @t227)) % 0.44/0.64 (define @t229 () (tptp.member @t109 @t226)) % 0.44/0.64 (define @t230 () (not @t229)) % 0.44/0.64 (define @t231 () (tptp.member @t226 @t91)) % 0.44/0.64 (define @t232 () (not @t231)) % 0.44/0.64 (define @t233 () (or @t232 @t230 @t228)) % 0.44/0.64 (define @t234 () (not @t233)) % 0.44/0.64 (define @t235 () (@list @t233)) % 0.44/0.64 (define @t236 () (not (tptp.member @t204 @t21))) % 0.44/0.64 (define @t237 () (forall @t25 (or @t92 @t220 @t236))) % 0.44/0.64 (define @t238 () (not @t237)) % 0.44/0.64 (define @t239 () (= @t205 @t238)) % 0.44/0.64 (define @t240 () (or @t215 @t211 @t239)) % 0.44/0.64 (define @t241 () (not @t239)) % 0.44/0.64 (define @t242 () (forall @t18 (or @t180 (not (tptp.member @t204 @t14))))) % 0.44/0.64 (define @t243 () (@quantifiers_skolemize @t242 0)) % 0.44/0.64 (define @t244 () (tptp.member @t204 @t243)) % 0.44/0.64 (define @t245 () (not @t244)) % 0.44/0.64 (define @t246 () (tptp.member @t109 @t243)) % 0.44/0.64 (define @t247 () (not @t246)) % 0.44/0.64 (define @t248 () (tptp.member @t243 @t91)) % 0.44/0.64 (define @t249 () (not @t248)) % 0.44/0.64 (define @t250 () (or @t249 @t247 @t245)) % 0.44/0.64 (define @t251 () (not @t242)) % 0.44/0.64 (define @t252 () (or @t211 @t251)) % 0.44/0.64 (define @t253 () (or @t249 @t245)) % 0.44/0.64 (define @t254 () (not @t253)) % 0.44/0.64 (define @t255 () (@list @t253)) % 0.44/0.64 (define @t256 () (forall @t18 (or @t180 (not (tptp.member @t108 @t14))))) % 0.44/0.64 (define @t257 () (@quantifiers_skolemize @t256 0)) % 0.44/0.64 (define @t258 () (tptp.member @t108 @t257)) % 0.44/0.64 (define @t259 () (not @t258)) % 0.44/0.64 (define @t260 () (tptp.member @t257 @t91)) % 0.44/0.64 (define @t261 () (not @t260)) % 0.44/0.64 (define @t262 () (or @t232 @t261 (= @t226 @t257) @t228 @t259)) % 0.44/0.64 (define @t263 () (= @t257 @t226)) % 0.44/0.64 (define @t264 () (or @t232 @t261 @t263 @t228 @t259)) % 0.44/0.64 (define @t265 () (@list @t182)) % 0.44/0.64 (define @t266 () (not @t256)) % 0.44/0.64 (define @t267 () (or @t213 @t266)) % 0.44/0.64 (define @t268 () (or @t261 @t259)) % 0.44/0.64 (define @t269 () (not @t268)) % 0.44/0.64 (define @t270 () (@list @t268)) % 0.44/0.64 (define @t271 () (@list false false false false false)) % 0.44/0.64 (define @t272 () (forall @t18 (or @t180 (not (tptp.member @t109 @t14))))) % 0.44/0.64 (define @t273 () (@quantifiers_skolemize @t272 0)) % 0.44/0.64 (define @t274 () (not @t272)) % 0.44/0.64 (define @t275 () (or @t215 @t274)) % 0.44/0.64 (define @t276 () (tptp.member @t109 @t273)) % 0.44/0.64 (define @t277 () (not @t276)) % 0.44/0.64 (define @t278 () (tptp.member @t273 @t91)) % 0.44/0.64 (define @t279 () (not @t278)) % 0.44/0.64 (define @t280 () (or @t279 @t277)) % 0.44/0.64 (define @t281 () (not @t280)) % 0.44/0.64 (define @t282 () (@list @t280)) % 0.44/0.64 (define @t283 () (= @t273 @t226)) % 0.44/0.64 (define @t284 () (or @t279 @t232 @t283 @t277 @t230)) % 0.44/0.64 (define @t285 () (forall @t25 (or @t92 @t219 @t236))) % 0.44/0.64 (define @t286 () (@quantifiers_skolemize @t285 0)) % 0.44/0.64 (define @t287 () (not @t285)) % 0.44/0.64 (define @t288 () (= @t206 @t287)) % 0.44/0.64 (define @t289 () (or @t213 @t211 @t288)) % 0.44/0.64 (define @t290 () (tptp.member @t204 @t286)) % 0.44/0.64 (define @t291 () (not @t290)) % 0.44/0.64 (define @t292 () (tptp.member @t108 @t286)) % 0.44/0.64 (define @t293 () (not @t292)) % 0.44/0.64 (define @t294 () (tptp.member @t286 @t91)) % 0.44/0.64 (define @t295 () (not @t294)) % 0.44/0.64 (define @t296 () (or @t295 @t293 @t291)) % 0.44/0.64 (define @t297 () (not @t296)) % 0.44/0.64 (define @t298 () (@list @t296)) % 0.44/0.64 (define @t299 () (= @t243 @t286)) % 0.44/0.64 (define @t300 () (or @t249 @t295 @t299 @t245 @t291)) % 0.44/0.64 (define @t301 () (tptp.member @t108 @t273)) % 0.44/0.64 (define @t302 () (not @t301)) % 0.44/0.64 (define @t303 () (or @t295 @t279 (= @t286 @t273) @t293 @t302)) % 0.44/0.64 (define @t304 () (= @t273 @t286)) % 0.44/0.64 (define @t305 () (or @t295 @t279 @t304 @t293 @t302)) % 0.44/0.64 (define @t306 () (and @t258 @t263 @t283)) % 0.44/0.64 (define @t307 () (not @t283)) % 0.44/0.64 (define @t308 () (not @t263)) % 0.44/0.64 (define @t309 () (not @t304)) % 0.44/0.64 (define @t310 () (not @t299)) % 0.44/0.64 (define @t311 () (and @t229 @t263 @t283 @t304 @t299 @t247)) % 0.44/0.64 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.44/0.64 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.44/0.64 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.44/0.64 (assume @p4 (forall @t11 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) @t10))) % 0.44/0.64 (assume @p5 (forall @t11 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.44/0.64 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.44/0.64 (assume @p7 (forall (@list @t1 @t4 @t12) (= (tptp.member @t1 (tptp.difference @t12 @t4)) (and (tptp.member @t1 @t12) (not (tptp.member @t1 @t4)))))) % 0.44/0.64 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t13))) % 0.44/0.64 (assume @p9 (forall @t11 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t13 (= @t2 @t1))))) % 0.44/0.64 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) @t19))) % 0.44/0.64 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t18 (=> @t16 @t15))))) % 0.44/0.64 (assume @p12 (forall @t8 (= (tptp.disjoint @t4 @t1) (not (exists @t6 @t10))))) % 0.44/0.64 (assume @p13 @t40) % 0.44/0.64 (assume @p14 @t59) % 0.44/0.64 (assume @p15 (forall (@list @t41 @t12 @t4 @t2) (= (tptp.member @t2 (tptp.equivalence_class @t4 @t12 @t41)) (and @t32 (tptp.apply @t41 @t4 @t2))))) % 0.44/0.64 (assume @p16 (forall (@list @t41 @t12) (= (tptp.pre_order @t41 @t12) (and (forall @t6 (=> @t32 @t54)) (forall @t49 (=> (and @t32 @t60 (tptp.member @t21 @t12)) @t46)))))) % 0.44/0.64 (assume @p17 @t74) % 0.44/0.64 (assume @p18 true) % 0.44/0.64 (step @p19 :rule aci_norm :args ((= (or @t85 (or @t84 @t61)) @t86))) % 0.44/0.64 (step @p20 :rule bool-impl-elim :args (@t83 @t61)) % 0.44/0.64 (step @p21 :rule refl :args (@t85)) % 0.44/0.64 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t85 @t87))) % 0.44/0.64 (step @p23 :rule trans :premises (@p22 @p19)) % 0.44/0.64 (step @p24 :rule bool-impl-elim :args (@t38 @t87)) % 0.44/0.64 (step @p25 :rule trans :premises (@p24 @p23)) % 0.44/0.64 (step @p26 :rule cong :premises (@p25) :args ((forall @t72 (=> @t38 @t87)))) % 0.44/0.64 (step @p27 :rule refl :args (@t61)) % 0.44/0.64 (step @p28 :rule aci_norm :args ((= (or (or @t81 @t80) @t79) @t82))) % 0.44/0.64 (step @p29 :rule refl :args (@t79)) % 0.44/0.64 (step @p30 :rule bool-and-de-morgan :args (@t32 @t60 true)) % 0.44/0.64 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t67) @t79))) % 0.44/0.64 (step @p32 :rule trans :premises (@p31 @p28)) % 0.44/0.64 (step @p33 :rule bool-impl-elim :args (@t67 @t79)) % 0.44/0.64 (step @p34 :rule trans :premises (@p33 @p32)) % 0.44/0.64 (step @p35 :rule cong :premises (@p34) :args ((forall @t30 (=> @t67 @t79)))) % 0.44/0.64 (step @p36 :rule aci_norm :args ((= (or @t77 (or @t76 @t75)) @t78))) % 0.44/0.64 (step @p37 :rule bool-and-de-morgan :args (@t63 @t62 true)) % 0.44/0.64 (step @p38 :rule refl :args (@t77)) % 0.44/0.64 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t77 (not (and @t63 @t62))))) % 0.44/0.64 (step @p40 :rule bool-and-de-morgan :args (@t47 @t63 (and @t62))) % 0.44/0.64 (step @p41 :rule trans :premises (@p40 @p39)) % 0.44/0.64 (step @p42 :rule trans :premises (@p41 @p36)) % 0.44/0.64 (step @p43 :rule cong :premises (@p42) :args (@t88)) % 0.44/0.64 (step @p44 :rule cong :premises (@p43) :args (@t89)) % 0.44/0.64 (step @p45 :rule exists-elim :args ((= @t65 @t89))) % 0.44/0.64 (step @p46 :rule trans :premises (@p45 @p44)) % 0.44/0.64 (step @p47 :rule refl :args (@t44)) % 0.44/0.64 (step @p48 :rule cong :premises (@p47 @p46) :args (@t66)) % 0.44/0.64 (step @p49 :rule refl :args (@t67)) % 0.44/0.64 (step @p50 :rule cong :premises (@p49 @p48) :args (@t68)) % 0.44/0.64 (step @p51 :rule cong :premises (@p50) :args (@t69)) % 0.44/0.64 (step @p52 :rule trans :premises (@p51 @p35)) % 0.44/0.64 (step @p53 :rule cong :premises (@p52 @p27) :args (@t70)) % 0.44/0.64 (step @p54 :rule refl :args (@t38)) % 0.44/0.64 (step @p55 :rule cong :premises (@p54 @p53) :args (@t71)) % 0.44/0.64 (step @p56 :rule cong :premises (@p55) :args (@t73)) % 0.44/0.64 (step @p57 :rule trans :premises (@p56 @p26)) % 0.44/0.64 (step @p58 :rule cong :premises (@p57) :args (@t74)) % 0.44/0.64 (step @p59 :rule eq_resolve :premises (@p17 @p58)) % 0.44/0.64 (step @p60 :rule skolemize :premises (@p59)) % 0.44/0.64 (step @p61 :rule bool-double-not-elim :args (@t98)) % 0.44/0.64 (step @p62 :rule refl :args (@t103)) % 0.44/0.64 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t103 (not @t100)))) % 0.44/0.64 (step @p64 :rule cnf_or_neg :args (@t103 1)) % 0.44/0.64 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.44/0.64 (step @p66 :rule reordering :premises (@p65) :args ((or @t98 @t103))) % 0.44/0.64 (step @p67 :rule chain_m_resolution :premises (@p66 @p60) :args (@t98 @t104 @t105)) % 0.44/0.64 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t109 @t108))) % 0.44/0.64 (step @p69 :rule bool-double-not-elim :args (@t112)) % 0.44/0.64 (step @p70 :rule refl :args (@t120)) % 0.44/0.64 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t120 (not @t119)))) % 0.44/0.64 (step @p72 :rule cnf_or_neg :args (@t120 0)) % 0.44/0.64 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.44/0.64 (step @p74 :rule reordering :premises (@p73) :args ((or @t112 @t120))) % 0.44/0.64 (step @p75 :rule bool-double-not-elim :args (@t117)) % 0.44/0.64 (step @p76 :rule nary_cong :premises (@p70 @p75) :args ((or @t120 (not @t118)))) % 0.44/0.64 (step @p77 :rule cnf_or_neg :args (@t120 1)) % 0.44/0.64 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.44/0.64 (step @p79 :rule reordering :premises (@p78) :args ((or @t117 @t120))) % 0.44/0.64 (step @p80 :rule bool-double-not-elim :args (@t115)) % 0.44/0.64 (step @p81 :rule nary_cong :premises (@p70 @p80) :args ((or @t120 (not @t116)))) % 0.44/0.64 (step @p82 :rule cnf_or_neg :args (@t120 2)) % 0.44/0.64 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.44/0.64 (step @p84 :rule reordering :premises (@p83) :args ((or @t115 @t120))) % 0.44/0.64 (step @p85 :rule cnf_or_neg :args (@t120 3)) % 0.44/0.64 (step @p86 :rule instantiate :premises (@p67) :args ((@list @t111 @t113))) % 0.44/0.64 (step @p87 :rule cnf_or_pos :args (@t127)) % 0.44/0.64 (step @p88 :rule reordering :premises (@p87) :args ((or @t119 @t118 @t126 (not @t127)))) % 0.44/0.64 (step @p89 :rule instantiate :premises (@p67) :args ((@list @t113 @t111))) % 0.44/0.64 (step @p90 :rule cnf_or_pos :args (@t132)) % 0.44/0.64 (step @p91 :rule reordering :premises (@p90) :args ((or @t119 @t118 @t131 (not @t132)))) % 0.44/0.64 (step @p92 :rule cnf_equiv_pos1 :args (@t126)) % 0.44/0.64 (step @p93 :rule reordering :premises (@p92) :args ((or @t116 @t125 (not @t126)))) % 0.44/0.64 (step @p94 :rule bool-double-not-elim :args (@t129)) % 0.44/0.64 (step @p95 :rule refl :args (@t114)) % 0.44/0.64 (step @p96 :rule refl :args (@t133)) % 0.44/0.64 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94) :args ((or @t133 @t114 (not @t130)))) % 0.44/0.64 (step @p98 :rule cnf_equiv_pos2 :args (@t131)) % 0.44/0.64 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.44/0.64 (step @p100 :rule reordering :premises (@p99) :args ((or @t114 @t129 @t133))) % 0.44/0.64 (step @p101 :rule aci_norm :args ((= @t128 @t123))) % 0.44/0.64 (step @p102 :rule cong :premises (@p101) :args (@t129)) % 0.44/0.64 (step @p103 :rule true_intro :premises (@p102)) % 0.44/0.64 (step @p104 :rule eq-symm :args (@t124 @t129)) % 0.44/0.64 (step @p105 :rule trans :premises (@p104 @p103)) % 0.44/0.64 (step @p106 :rule true_elim :premises (@p105)) % 0.44/0.64 (step @p107 :rule equiv_elim2 :premises (@p106)) % 0.44/0.64 (step @p108 :rule chain_m_resolution :premises (@p107 @p100 @p93 @p91 @p89 @p88 @p86 @p85 @p84 @p79 @p74) :args (@t120 (@list false true false false false false true false false false) (@list @t129 @t124 @t131 @t132 @t126 @t127 @t114 @t115 @t117 @t112))) % 0.44/0.64 (step @p109 :rule refl :args (@t134)) % 0.44/0.64 (step @p110 :rule bool-double-not-elim :args (@t110)) % 0.44/0.64 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or (not @t135) @t134))) % 0.44/0.64 (assume-push @p616 @t135) % 0.44/0.64 (step @p113 :rule skolemize :premises (@p616)) % 0.44/0.64 (step-pop @p617 :rule scope :premises (@p113)) % 0.44/0.64 (step @p114 :rule process_scope :premises (@p617) :args (@t134)) % 0.44/0.64 (step @p116 :rule implies_elim :premises (@p114)) % 0.44/0.64 (step @p117 :rule eq_resolve :premises (@p116 @p111)) % 0.44/0.64 (step @p118 :rule chain_m_resolution :premises (@p117 @p108) :args (@t110 @t136 (@list @t120))) % 0.44/0.64 (step @p119 :rule bool-double-not-elim :args (@t139)) % 0.44/0.64 (step @p120 :rule refl :args (@t142)) % 0.44/0.64 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t142 (not @t141)))) % 0.44/0.64 (step @p122 :rule cnf_or_neg :args (@t142 0)) % 0.44/0.64 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.44/0.64 (step @p124 :rule reordering :premises (@p123) :args ((or @t139 @t142))) % 0.44/0.64 (step @p125 :rule cnf_or_neg :args (@t142 1)) % 0.44/0.64 (step @p126 :rule aci_norm :args ((= @t145 @t144))) % 0.44/0.64 (step @p127 :rule cong :premises (@p126) :args (@t146)) % 0.44/0.64 (step @p128 :rule cong :premises (@p127) :args (@t147)) % 0.44/0.64 (step @p129 :rule refl :args (@t140)) % 0.44/0.64 (step @p130 :rule cong :premises (@p129 @p128) :args (@t148)) % 0.44/0.64 (step @p131 :rule refl :args (@t141)) % 0.44/0.64 (step @p132 :rule nary_cong :premises (@p131 @p131 @p130) :args (@t149)) % 0.44/0.64 (step @p133 :rule refl :args (@t98)) % 0.44/0.64 (step @p134 :rule cong :premises (@p133 @p132) :args ((=> @t98 @t149))) % 0.44/0.64 (assume-push @p618 @t98) % 0.44/0.64 (step @p136 :rule instantiate :premises (@p67) :args ((@list @t138 @t138))) % 0.44/0.64 (step-pop @p619 :rule scope :premises (@p136)) % 0.44/0.64 (step @p137 :rule process_scope :premises (@p619) :args (@t149)) % 0.44/0.64 (step @p139 :rule eq_resolve :premises (@p137 @p134)) % 0.44/0.64 (step @p140 :rule implies_elim :premises (@p139)) % 0.44/0.64 (step @p141 :rule chain_m_resolution :premises (@p140 @p67) :args (@t153 @t136 (@list @t98))) % 0.44/0.64 (step @p142 :rule cnf_or_pos :args (@t153)) % 0.44/0.64 (step @p143 :rule factoring :premises (@p142)) % 0.44/0.64 (step @p144 :rule reordering :premises (@p143) :args ((or @t141 @t152 (not @t153)))) % 0.44/0.64 (step @p145 :rule aci_norm :args ((= @t160 (or @t158 @t157 @t20 @t156 @t155)))) % 0.44/0.64 (step @p146 :rule cong :premises (@p145) :args (@t162)) % 0.44/0.64 (step @p147 :rule quant-merge-prenex 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