%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU145+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:50:42 AM UTC 2026 % Result : Theorem 30.82s 31.07s % Output : Proof 30.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU145+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 11:32:00 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 30.82/31.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 30.82/31.07 --- Run --no-e-matching --full-saturate-quant at 6... % 30.82/31.07 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 30.82/31.07 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 30.82/31.07 % SZS status Theorem % 30.82/31.07 % SZS output start Proof % 30.82/31.07 ( % 30.82/31.07 (declare-sort $$unsorted 0) % 30.82/31.07 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 30.82/31.07 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 30.82/31.07 (declare-const tptp.empty_set $$unsorted) % 30.82/31.07 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 30.82/31.07 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 30.82/31.07 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 30.82/31.07 (declare-const tptp.empty (-> $$unsorted Bool)) % 30.82/31.07 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 30.82/31.07 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 30.82/31.07 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 30.82/31.07 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 30.82/31.07 (define @t1 () (@var "A" $$unsorted)) % 30.82/31.07 (define @t2 () (@var "B" $$unsorted)) % 30.82/31.07 (define @t3 () (not (tptp.in @t2 @t1))) % 30.82/31.07 (define @t4 () (tptp.in @t1 @t2)) % 30.82/31.07 (define @t5 () (@list @t1 @t2)) % 30.82/31.07 (define @t6 () (tptp.proper_subset @t2 @t1)) % 30.82/31.07 (define @t7 () (tptp.proper_subset @t1 @t2)) % 30.82/31.07 (define @t8 () (tptp.unordered_pair @t1 @t2)) % 30.82/31.07 (define @t9 () (tptp.set_union2 @t2 @t1)) % 30.82/31.07 (define @t10 () (tptp.set_union2 @t1 @t2)) % 30.82/31.07 (define @t11 () (tptp.set_intersection2 @t1 @t2)) % 30.82/31.07 (define @t12 () (tptp.subset @t1 @t2)) % 30.82/31.07 (define @t13 () (= @t1 @t2)) % 30.82/31.07 (define @t14 () (@var "C" $$unsorted)) % 30.82/31.07 (define @t15 () (tptp.in @t14 @t2)) % 30.82/31.07 (define @t16 () (= @t15 (= @t14 @t1))) % 30.82/31.07 (define @t17 () (@list @t14)) % 30.82/31.07 (define @t18 () (forall @t17 @t16)) % 30.82/31.07 (define @t19 () (tptp.singleton @t1)) % 30.82/31.07 (define @t20 () (= @t2 @t19)) % 30.82/31.07 (define @t21 () (= @t20 @t18)) % 30.82/31.07 (define @t22 () (forall @t5 @t21)) % 30.82/31.07 (define @t23 () (= @t1 tptp.empty_set)) % 30.82/31.07 (define @t24 () (@list @t1)) % 30.82/31.07 (define @t25 () (@var "D" $$unsorted)) % 30.82/31.07 (define @t26 () (tptp.in @t25 @t14)) % 30.82/31.07 (define @t27 () (@list @t25)) % 30.82/31.07 (define @t28 () (@list @t1 @t2 @t14)) % 30.82/31.07 (define @t29 () (tptp.in @t25 @t2)) % 30.82/31.07 (define @t30 () (tptp.in @t25 @t1)) % 30.82/31.07 (define @t31 () (tptp.in @t14 @t1)) % 30.82/31.07 (define @t32 () (tptp.set_difference @t1 @t2)) % 30.82/31.07 (define @t33 () (forall @t28 (= (= @t14 @t32) (forall @t27 (= @t26 (and @t30 (not @t29))))))) % 30.82/31.07 (define @t34 () (tptp.disjoint @t1 @t2)) % 30.82/31.07 (define @t35 () (forall @t5 (= @t34 (= @t11 tptp.empty_set)))) % 30.82/31.07 (define @t36 () (not @t13)) % 30.82/31.07 (define @t37 () (tptp.empty @t1)) % 30.82/31.07 (define @t38 () (not @t37)) % 30.82/31.07 (define @t39 () (tptp.subset @t19 @t2)) % 30.82/31.07 (define @t40 () (forall @t5 (= @t39 @t4))) % 30.82/31.07 (define @t41 () (= @t32 tptp.empty_set)) % 30.82/31.07 (define @t42 () (forall @t5 (= @t41 @t12))) % 30.82/31.07 (define @t43 () (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t14)))) % 30.82/31.07 (define @t44 () (or @t31 @t43)) % 30.82/31.07 (define @t45 () (forall @t28 (=> @t12 @t44))) % 30.82/31.07 (define @t46 () (not @t45)) % 30.82/31.07 (define @t47 () (tptp.set_intersection2 @t2 @t14)) % 30.82/31.07 (define @t48 () (tptp.subset @t1 @t14)) % 30.82/31.07 (define @t49 () (tptp.subset (tptp.set_difference @t1 @t14) (tptp.set_difference @t2 @t14))) % 30.82/31.07 (define @t50 () (forall @t28 (=> @t12 @t49))) % 30.82/31.07 (define @t51 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 30.82/31.07 (define @t52 () (tptp.set_difference @t1 tptp.empty_set)) % 30.82/31.07 (define @t53 () (forall @t24 (= @t52 @t1))) % 30.82/31.07 (define @t54 () (and @t31 @t15)) % 30.82/31.07 (define @t55 () (exists @t17 @t54)) % 30.82/31.07 (define @t56 () (and @t55 @t34)) % 30.82/31.07 (define @t57 () (not @t56)) % 30.82/31.07 (define @t58 () (forall @t17 (not @t54))) % 30.82/31.07 (define @t59 () (not @t34)) % 30.82/31.07 (define @t60 () (and @t59 @t58)) % 30.82/31.07 (define @t61 () (not @t60)) % 30.82/31.07 (define @t62 () (and @t61 @t57)) % 30.82/31.07 (define @t63 () (forall @t5 @t62)) % 30.82/31.07 (define @t64 () (tptp.set_difference @t10 @t2)) % 30.82/31.07 (define @t65 () (forall @t5 (= @t64 @t32))) % 30.82/31.07 (define @t66 () (tptp.set_difference @t1 @t32)) % 30.82/31.07 (define @t67 () (forall @t5 (= @t66 @t11))) % 30.82/31.07 (define @t68 () (tptp.set_difference tptp.empty_set @t1)) % 30.82/31.07 (define @t69 () (forall @t24 (= @t68 tptp.empty_set))) % 30.82/31.07 (define @t70 () (tptp.in @t14 @t11)) % 30.82/31.07 (define @t71 () (tptp.empty @t2)) % 30.82/31.07 (define @t72 () (= @t34 (= @t32 @t1))) % 30.82/31.07 (define @t73 () (forall @t5 @t72)) % 30.82/31.07 (define @t74 () (not @t12)) % 30.82/31.07 (define @t75 () (or @t74 @t31 @t43)) % 30.82/31.07 (define @t76 () (forall @t28 @t75)) % 30.82/31.07 (define @t77 () (@quantifiers_skolemize @t76 0)) % 30.82/31.07 (define @t78 () (@quantifiers_skolemize @t76 2)) % 30.82/31.07 (define @t79 () (tptp.singleton @t78)) % 30.82/31.07 (define @t80 () (@list @t79 @t77)) % 30.82/31.07 (define @t81 () (@quantifiers_skolemize @t76 1)) % 30.82/31.07 (define @t82 () (tptp.set_difference @t81 @t79)) % 30.82/31.07 (define @t83 () (tptp.subset @t77 @t82)) % 30.82/31.07 (define @t84 () (tptp.in @t78 @t77)) % 30.82/31.07 (define @t85 () (tptp.subset @t77 @t81)) % 30.82/31.07 (define @t86 () (not @t85)) % 30.82/31.07 (define @t87 () (or @t86 @t84 @t83)) % 30.82/31.07 (define @t88 () (@list true)) % 30.82/31.07 (define @t89 () (@list @t87)) % 30.82/31.07 (define @t90 () (tptp.subset @t79 @t77)) % 30.82/31.07 (define @t91 () (= @t84 @t90)) % 30.82/31.07 (define @t92 () (not @t90)) % 30.82/31.07 (define @t93 () (@list true false)) % 30.82/31.07 (define @t94 () (tptp.set_difference @t79 @t77)) % 30.82/31.07 (define @t95 () (= tptp.empty_set @t94)) % 30.82/31.07 (define @t96 () (= @t90 @t95)) % 30.82/31.07 (define @t97 () (not @t95)) % 30.82/31.07 (define @t98 () (tptp.in @t25 @t79)) % 30.82/31.07 (define @t99 () (and @t98 (not (tptp.in @t25 @t77)))) % 30.82/31.07 (define @t100 () (tptp.in @t25 tptp.empty_set)) % 30.82/31.07 (define @t101 () (forall @t27 (= @t100 @t99))) % 30.82/31.07 (define @t102 () (= @t95 @t101)) % 30.82/31.07 (define @t103 () (not @t101)) % 30.82/31.07 (define @t104 () (@var "BOUND_VARIABLE_7838" $$unsorted)) % 30.82/31.07 (define @t105 () (@var "BOUND_VARIABLE_7852" $$unsorted)) % 30.82/31.07 (define @t106 () (not (tptp.in @t105 @t104))) % 30.82/31.07 (define @t107 () (@var "BOUND_VARIABLE_7836" $$unsorted)) % 30.82/31.07 (define @t108 () (not (tptp.in @t105 @t107))) % 30.82/31.07 (define @t109 () (not (tptp.disjoint @t107 @t104))) % 30.82/31.07 (define @t110 () (or @t108 @t106)) % 30.82/31.07 (define @t111 () (or @t110 @t109)) % 30.82/31.07 (define @t112 () (forall (@list @t107 @t104 @t105) @t111)) % 30.82/31.07 (define @t113 () (@list @t105)) % 30.82/31.07 (define @t114 () (forall @t113 @t111)) % 30.82/31.07 (define @t115 () (@list @t107 @t104)) % 30.82/31.07 (define @t116 () (forall @t113 @t110)) % 30.82/31.07 (define @t117 () (or @t116 @t109)) % 30.82/31.07 (define @t118 () (forall @t115 (or (forall @t17 (or (not (tptp.in @t14 @t107)) (not (tptp.in @t14 @t104)))) @t109))) % 30.82/31.07 (define @t119 () (@var "BOUND_VARIABLE_7823" $$unsorted)) % 30.82/31.07 (define @t120 () (@var "BOUND_VARIABLE_7821" $$unsorted)) % 30.82/31.07 (define @t121 () (forall (@list @t120 @t119) (or (tptp.disjoint @t120 @t119) (not (forall @t17 (or (not (tptp.in @t14 @t120)) (not (tptp.in @t14 @t119)))))))) % 30.82/31.07 (define @t122 () (forall @t17 (or (not @t31) (not @t15)))) % 30.82/31.07 (define @t123 () (or @t122 @t59)) % 30.82/31.07 (define @t124 () (forall @t5 @t123)) % 30.82/31.07 (define @t125 () (@list @t1 @t2)) % 30.82/31.07 (define @t126 () (not @t122)) % 30.82/31.07 (define @t127 () (or @t34 @t126)) % 30.82/31.07 (define @t128 () (forall @t5 @t127)) % 30.82/31.07 (define @t129 () (and @t128 @t124)) % 30.82/31.07 (define @t130 () (and (not (and @t59 @t122)) (not (and @t126 @t34)))) % 30.82/31.07 (define @t131 () (not @t58)) % 30.82/31.07 (define @t132 () (@quantifiers_skolemize @t101 0)) % 30.82/31.07 (define @t133 () (= tptp.empty_set (tptp.set_difference tptp.empty_set tptp.empty_set))) % 30.82/31.07 (define @t134 () (tptp.disjoint tptp.empty_set tptp.empty_set)) % 30.82/31.07 (define @t135 () (= @t134 @t133)) % 30.82/31.07 (define @t136 () (not @t133)) % 30.82/31.07 (define @t137 () (@list false false)) % 30.82/31.07 (define @t138 () (tptp.in @t132 tptp.empty_set)) % 30.82/31.07 (define @t139 () (not @t138)) % 30.82/31.07 (define @t140 () (not @t134)) % 30.82/31.07 (define @t141 () (or @t140 @t139 @t139)) % 30.82/31.07 (define @t142 () (tptp.in @t132 @t77)) % 30.82/31.07 (define @t143 () (not @t142)) % 30.82/31.07 (define @t144 () (tptp.in @t132 @t79)) % 30.82/31.07 (define @t145 () (and @t144 @t143)) % 30.82/31.07 (define @t146 () (= @t138 @t145)) % 30.82/31.07 (define @t147 () (@list true true)) % 30.82/31.07 (define @t148 () (not @t145)) % 30.82/31.07 (define @t149 () (@list false)) % 30.82/31.07 (define @t150 () (@list @t145)) % 30.82/31.07 (define @t151 () (tptp.in @t14 @t79)) % 30.82/31.07 (define @t152 () (forall @t17 (= @t151 (= @t14 @t78)))) % 30.82/31.07 (define @t153 () (= @t151 (= @t78 @t14))) % 30.82/31.07 (define @t154 () (forall @t17 @t153)) % 30.82/31.07 (define @t155 () (= (= @t79 @t79) @t154)) % 30.82/31.07 (define @t156 () (forall @t5 (= @t20 (forall @t17 (= @t15 (= @t1 @t14)))))) % 30.82/31.07 (define @t157 () (= @t144 (= @t132 @t78))) % 30.82/31.07 (define @t158 () (= @t78 @t132)) % 30.82/31.07 (define @t159 () (= @t144 @t158)) % 30.82/31.07 (define @t160 () (@list @t152)) % 30.82/31.07 (define @t161 () (tptp.in @t25 @t94)) % 30.82/31.07 (define @t162 () (forall @t27 (= @t161 @t99))) % 30.82/31.07 (define @t163 () (= (= @t94 @t94) @t162)) % 30.82/31.07 (define @t164 () (@list @t33)) % 30.82/31.07 (define @t165 () (not @t100)) % 30.82/31.07 (define @t166 () (forall @t27 (= @t161 (and @t98 @t165)))) % 30.82/31.07 (define @t167 () (@quantifiers_skolemize @t166 0)) % 30.82/31.07 (define @t168 () (@list @t167)) % 30.82/31.07 (define @t169 () (tptp.set_difference @t79 tptp.empty_set)) % 30.82/31.07 (define @t170 () (= @t169 @t94)) % 30.82/31.07 (define @t171 () (= (= @t94 @t169) @t166)) % 30.82/31.07 (define @t172 () (= @t166 @t170)) % 30.82/31.07 (define @t173 () (tptp.disjoint @t77 @t79)) % 30.82/31.07 (define @t174 () (tptp.set_difference @t77 @t79)) % 30.82/31.07 (define @t175 () (= @t77 @t174)) % 30.82/31.07 (define @t176 () (forall @t5 (= @t34 (= @t1 @t32)))) % 30.82/31.07 (define @t177 () (= @t173 @t175)) % 30.82/31.07 (define @t178 () (@list @t77 @t79)) % 30.82/31.07 (define @t179 () (= @t175 @t173)) % 30.82/31.07 (define @t180 () (tptp.subset @t174 @t82)) % 30.82/31.07 (define @t181 () (or @t86 @t180)) % 30.82/31.07 (define @t182 () (not @t83)) % 30.82/31.07 (define @t183 () (not @t180)) % 30.82/31.07 (define @t184 () (not @t175)) % 30.82/31.07 (define @t185 () (= true false)) % 30.82/31.07 (define @t186 () (and @t180 @t175 @t182)) % 30.82/31.07 (define @t187 () (not @t173)) % 30.82/31.07 (define @t188 () (tptp.disjoint @t77 @t94)) % 30.82/31.07 (define @t189 () (not @t188)) % 30.82/31.07 (define @t190 () (= @t79 @t94)) % 30.82/31.07 (define @t191 () (not @t190)) % 30.82/31.07 (define @t192 () (and @t190 @t187)) % 30.82/31.07 (define @t193 () (@list @t79 @t94)) % 30.82/31.07 (define @t194 () (tptp.set_difference @t94 @t94)) % 30.82/31.07 (define @t195 () (= tptp.empty_set @t194)) % 30.82/31.07 (define @t196 () (forall @t27 @t165)) % 30.82/31.07 (define @t197 () (= @t100 (and @t161 (not @t161)))) % 30.82/31.07 (define @t198 () (forall @t27 @t197)) % 30.82/31.07 (define @t199 () (= @t195 @t198)) % 30.82/31.07 (define @t200 () (= @t196 @t195)) % 30.82/31.07 (define @t201 () (= @t100 (and @t100 @t165))) % 30.82/31.07 (define @t202 () (forall @t27 @t201)) % 30.82/31.07 (define @t203 () (= @t133 @t202)) % 30.82/31.07 (define @t204 () (= @t133 @t196)) % 30.82/31.07 (define @t205 () (tptp.set_intersection2 @t79 @t77)) % 30.82/31.07 (define @t206 () (tptp.set_intersection2 @t77 @t79)) % 30.82/31.07 (define @t207 () (= @t206 @t205)) % 30.82/31.07 (define @t208 () (tptp.set_difference @t79 @t94)) % 30.82/31.07 (define @t209 () (= @t205 @t208)) % 30.82/31.07 (define @t210 () (tptp.set_union2 @t79 @t94)) % 30.82/31.07 (define @t211 () (= @t208 (tptp.set_difference @t210 @t94))) % 30.82/31.07 (define @t212 () (tptp.set_union2 @t94 @t79)) % 30.82/31.07 (define @t213 () (= @t210 @t212)) % 30.82/31.07 (define @t214 () (tptp.set_difference @t212 @t79)) % 30.82/31.07 (define @t215 () (= (tptp.set_difference @t94 @t79) @t214)) % 30.82/31.07 (define @t216 () (tptp.set_intersection2 @t77 @t94)) % 30.82/31.07 (define @t217 () (= tptp.empty_set @t216)) % 30.82/31.07 (define @t218 () (and @t190 @t207 @t209 @t211 @t213 @t215 @t195)) % 30.82/31.07 (define @t219 () (= @t216 tptp.empty_set)) % 30.82/31.07 (define @t220 () (= @t188 @t219)) % 30.82/31.07 (define @t221 () (= @t188 @t217)) % 30.82/31.07 (define @t222 () (not @t170)) % 30.82/31.07 (define @t223 () (= @t79 @t169)) % 30.82/31.07 (define @t224 () (not @t223)) % 30.82/31.07 (define @t225 () (and @t223 @t191)) % 30.82/31.07 (define @t226 () (not @t166)) % 30.82/31.07 (define @t227 () (tptp.in @t167 tptp.empty_set)) % 30.82/31.07 (define @t228 () (not @t227)) % 30.82/31.07 (define @t229 () (tptp.in @t167 @t79)) % 30.82/31.07 (define @t230 () (and @t229 @t228)) % 30.82/31.07 (define @t231 () (tptp.in @t167 @t94)) % 30.82/31.07 (define @t232 () (= @t231 @t230)) % 30.82/31.07 (define @t233 () (not @t232)) % 30.82/31.07 (define @t234 () (tptp.in @t167 @t77)) % 30.82/31.07 (define @t235 () (not @t234)) % 30.82/31.07 (define @t236 () (and @t229 @t235)) % 30.82/31.07 (define @t237 () (= @t231 @t236)) % 30.82/31.07 (define @t238 () (not @t237)) % 30.82/31.07 (define @t239 () (not @t231)) % 30.82/31.07 (define @t240 () (not @t236)) % 30.82/31.07 (define @t241 () (or @t140 @t228 @t228)) % 30.82/31.07 (define @t242 () (not @t229)) % 30.82/31.07 (define @t243 () (= @t229 (= @t167 @t78))) % 30.82/31.07 (define @t244 () (= @t78 @t167)) % 30.82/31.07 (define @t245 () (= @t229 @t244)) % 30.82/31.07 (define @t246 () (not @t244)) % 30.82/31.07 (define @t247 () (not @t158)) % 30.82/31.07 (define @t248 () (and @t143 @t158 @t244 @t234)) % 30.82/31.07 (assume @p1 (forall @t5 (=> @t4 @t3))) % 30.82/31.07 (assume @p2 (forall @t5 (=> @t7 (not @t6)))) % 30.82/31.07 (assume @p3 (forall @t5 (= @t8 (tptp.unordered_pair @t2 @t1)))) % 30.82/31.07 (assume @p4 (forall @t5 (= @t10 @t9))) % 30.82/31.07 (assume @p5 (forall @t5 (= @t11 (tptp.set_intersection2 @t2 @t1)))) % 30.82/31.07 (assume @p6 (forall @t5 (= @t13 (and @t12 (tptp.subset @t2 @t1))))) % 30.82/31.07 (assume @p7 @t22) % 30.82/31.07 (assume @p8 (forall @t24 (= @t23 (forall (@list @t2) @t3)))) % 30.82/31.07 (assume @p9 (forall @t28 (= (= @t14 @t8) (forall @t27 (= @t26 (or (= @t25 @t1) (= @t25 @t2))))))) % 30.82/31.07 (assume @p10 (forall @t28 (= (= @t14 @t10) (forall @t27 (= @t26 (or @t30 @t29)))))) % 30.82/31.07 (assume @p11 (forall @t5 (= @t12 (forall @t17 (=> @t31 @t15))))) % 30.82/31.07 (assume @p12 (forall @t28 (= (= @t14 @t11) (forall @t27 (= @t26 (and @t30 @t29)))))) % 30.82/31.07 (assume @p13 @t33) % 30.82/31.07 (assume @p14 @t35) % 30.82/31.07 (assume @p15 (forall @t5 (= @t7 (and @t12 @t36)))) % 30.82/31.07 (assume @p16 true) % 30.82/31.07 (assume @p17 (tptp.empty tptp.empty_set)) % 30.82/31.07 (assume @p18 (forall @t5 (=> @t38 (not (tptp.empty @t10))))) % 30.82/31.07 (assume @p19 (forall @t5 (=> @t38 (not (tptp.empty @t9))))) % 30.82/31.07 (assume @p20 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 30.82/31.07 (assume @p21 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 30.82/31.07 (assume @p22 (forall @t5 (not (tptp.proper_subset @t1 @t1)))) % 30.82/31.07 (assume @p23 (forall @t24 (not (= @t19 tptp.empty_set)))) % 30.82/31.07 (assume @p24 @t40) % 30.82/31.07 (assume @p25 @t42) % 30.82/31.07 (assume @p26 @t46) % 30.82/31.07 (assume @p27 (exists @t24 @t37)) % 30.82/31.07 (assume @p28 (exists @t24 @t38)) % 30.82/31.07 (assume @p29 (forall @t5 (tptp.subset @t1 @t1))) % 30.82/31.07 (assume @p30 (forall @t5 (=> @t34 (tptp.disjoint @t2 @t1)))) % 30.82/31.07 (assume @p31 (forall @t5 (=> @t12 (= @t10 @t2)))) % 30.82/31.07 (assume @p32 (forall @t5 (tptp.subset @t11 @t1))) % 30.82/31.07 (assume @p33 (forall @t28 (=> (and @t12 @t48) (tptp.subset @t1 @t47)))) % 30.82/31.07 (assume @p34 (forall @t24 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 30.82/31.07 (assume @p35 (forall @t28 (=> (and @t12 (tptp.subset @t2 @t14)) @t48))) % 30.82/31.07 (assume @p36 (forall @t28 (=> @t12 (tptp.subset (tptp.set_intersection2 @t1 @t14) @t47)))) % 30.82/31.07 (assume @p37 (forall @t5 (=> @t12 (= @t11 @t1)))) % 30.82/31.07 (assume @p38 (forall @t24 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 30.82/31.07 (assume @p39 (forall @t5 (=> (forall @t17 (= @t31 @t15)) @t13))) % 30.82/31.07 (assume @p40 (forall @t24 (tptp.subset tptp.empty_set @t1))) % 30.82/31.07 (assume @p41 @t50) % 30.82/31.07 (assume @p42 (forall @t5 (tptp.subset @t32 @t1))) % 30.82/31.07 (assume @p43 (forall @t5 (= @t51 @t10))) % 30.82/31.07 (assume @p44 @t53) % 30.82/31.07 (assume @p45 @t63) % 30.82/31.07 (assume @p46 (forall @t24 (=> (tptp.subset @t1 tptp.empty_set) @t23))) % 30.82/31.07 (assume @p47 @t65) % 30.82/31.07 (assume @p48 (forall @t5 (=> @t12 (= @t2 @t51)))) % 30.82/31.07 (assume @p49 @t67) % 30.82/31.07 (assume @p50 @t69) % 30.82/31.07 (assume @p51 (forall @t5 (and (not (and @t59 (forall @t17 (not @t70)))) (not (and (exists @t17 @t70) @t34))))) % 30.82/31.07 (assume @p52 (forall @t5 (not (and @t12 @t6)))) % 30.82/31.07 (assume @p53 (forall @t28 (=> (and @t12 (tptp.disjoint @t2 @t14)) (tptp.disjoint @t1 @t14)))) % 30.82/31.07 (assume @p54 (forall @t24 (= (tptp.unordered_pair @t1 @t1) @t19))) % 30.82/31.07 (assume @p55 (forall @t24 (=> @t37 @t23))) % 30.82/31.07 (assume @p56 (forall @t5 (not (and @t4 @t71)))) % 30.82/31.07 (assume @p57 (forall @t5 (tptp.subset @t1 @t10))) % 30.82/31.07 (assume @p58 @t73) % 30.82/31.07 (assume @p59 (forall @t5 (not (and @t37 @t36 @t71)))) % 30.82/31.07 (assume @p60 (forall @t28 (=> (and @t12 (tptp.subset @t14 @t2)) (tptp.subset (tptp.set_union2 @t1 @t14) @t2)))) % 30.82/31.07 (step @p61 :rule instantiate :premises (@p13) :args ((@list @t79 @t77 tptp.empty_set))) % 30.82/31.07 (step @p62 :rule eq-symm :args (@t32 tptp.empty_set)) % 30.82/31.07 (step @p63 :rule refl :args (@t12)) % 30.82/31.07 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t12 @t41))) % 30.82/31.07 (step @p65 :rule eq-symm :args (@t41 @t12)) % 30.82/31.07 (step @p66 :rule trans :premises (@p65 @p64)) % 30.82/31.07 (step @p67 :rule cong :premises (@p66) :args (@t42)) % 30.82/31.07 (step @p68 :rule eq_resolve :premises (@p25 @p67)) % 30.82/31.07 (step @p69 :rule instantiate :premises (@p68) :args (@t80)) % 30.82/31.07 (step @p70 :rule eq-symm :args (@t39 @t4)) % 30.82/31.07 (step @p71 :rule cong :premises (@p70) :args (@t40)) % 30.82/31.07 (step @p72 :rule eq_resolve :premises (@p24 @p71)) % 30.82/31.07 (step @p73 :rule instantiate :premises (@p72) :args ((@list @t78 @t77))) % 30.82/31.07 (step @p74 :rule aci_norm :args ((= (or @t74 @t44) @t75))) % 30.82/31.07 (step @p75 :rule bool-impl-elim :args (@t12 @t44)) % 30.82/31.07 (step @p76 :rule trans :premises (@p75 @p74)) % 30.82/31.07 (step @p77 :rule cong :premises (@p76) :args (@t45)) % 30.82/31.07 (step @p78 :rule cong :premises (@p77) :args (@t46)) % 30.82/31.07 (step @p79 :rule eq_resolve :premises (@p26 @p78)) % 30.82/31.07 (step @p80 :rule skolemize :premises (@p79)) % 30.82/31.07 (step @p81 :rule cnf_or_neg :args (@t87 1)) % 30.82/31.07 (step @p82 :rule chain_m_resolution :premises (@p81 @p80) :args ((not @t84) @t88 @t89)) % 30.82/31.07 (step @p83 :rule cnf_equiv_pos2 :args (@t91)) % 30.82/31.07 (step @p84 :rule reordering :premises (@p83) :args ((or @t84 @t92 (not @t91)))) % 30.82/31.07 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p73) :args (@t92 @t93 (@list @t84 @t91))) % 30.82/31.07 (step @p86 :rule cnf_equiv_pos2 :args (@t96)) % 30.82/31.07 (step @p87 :rule reordering :premises (@p86) :args ((or @t90 @t97 (not @t96)))) % 30.82/31.07 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p69) :args (@t97 @t93 (@list @t90 @t96))) % 30.82/31.07 (step @p89 :rule cnf_equiv_pos2 :args (@t102)) % 30.82/31.07 (step @p90 :rule reordering :premises (@p89) :args ((or @t95 @t103 (not @t102)))) % 30.82/31.07 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p61) :args (@t103 @t93 (@list @t95 @t102))) % 30.82/31.07 (step @p92 :rule skolemize :premises (@p91)) % 30.82/31.07 (step @p93 :rule aci_norm :args ((= @t111 (or @t109 @t108 @t106)))) % 30.82/31.07 (step @p94 :rule cong :premises (@p93) :args (@t112)) % 30.82/31.07 (step @p95 :rule quant-merge-prenex :args ((= (forall @t115 @t114) @t112))) % 30.82/31.07 (step @p96 :rule refl :args (@t109)) % 30.82/31.07 (step @p97 :rule alpha_equiv :args (@t116 (@list @t105) (@list @t14))) % 30.82/31.07 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t117)) % 30.82/31.07 (step @p99 :rule quant-miniscope-or :args ((= @t114 @t117))) % 30.82/31.07 (step @p100 :rule trans :premises (@p99 @p98)) % 30.82/31.07 (step @p101 :rule symm :premises (@p100)) % 30.82/31.07 (step @p102 :rule cong :premises (@p101) :args (@t118)) % 30.82/31.07 (step @p103 :rule trans :premises (@p102 @p95)) % 30.82/31.07 (step @p104 :rule trans :premises (@p103 @p94)) % 30.82/31.07 (step @p105 :rule refl :args (@t121)) % 30.82/31.07 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((and @t121 @t118))) % 30.82/31.07 (step @p107 :rule alpha_equiv :args (@t124 @t125 (@list @t107 @t104))) % 30.82/31.07 (step @p108 :rule alpha_equiv :args (@t128 @t125 (@list @t120 @t119))) % 30.82/31.07 (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t129)) % 30.82/31.07 (step @p110 :rule quant-miniscope-and :args ((= (forall @t5 (and @t127 @t123)) @t129))) % 30.82/31.07 (step @p111 :rule trans :premises (@p110 @p109)) % 30.82/31.07 (step @p112 :rule trans :premises (@p111 @p106)) % 30.82/31.07 (step @p113 :rule refl :args (@t59)) % 30.82/31.07 (step @p114 :rule bool-double-not-elim :args (@t122)) % 30.82/31.07 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t126) @t59))) % 30.82/31.07 (step @p116 :rule bool-and-de-morgan :args (@t126 @t34 true)) % 30.82/31.07 (step @p117 :rule trans :premises (@p116 @p115)) % 30.82/31.07 (step @p118 :rule refl :args (@t126)) % 30.82/31.07 (step @p119 :rule bool-double-not-elim :args (@t34)) % 30.82/31.07 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t59) @t126))) % 30.82/31.07 (step @p121 :rule bool-and-de-morgan :args (@t59 @t122 true)) % 30.82/31.07 (step @p122 :rule trans :premises (@p121 @p120)) % 30.82/31.07 (step @p123 :rule nary_cong :premises (@p122 @p117) :args (@t130)) % 30.82/31.07 (step @p124 :rule cong :premises (@p123) :args ((forall @t5 @t130))) % 30.82/31.07 (step @p125 :rule trans :premises (@p124 @p112)) % 30.82/31.07 (step @p126 :rule refl :args (@t34)) % 30.82/31.07 (step @p127 :rule bool-and-de-morgan :args (@t31 @t15 true)) % 30.82/31.07 (step @p128 :rule cong :premises (@p127) :args (@t58)) % 30.82/31.07 (step @p129 :rule cong :premises (@p128) :args (@t131)) % 30.82/31.07 (step @p130 :rule exists-elim :args ((= @t55 @t131))) % 30.82/31.07 (step @p131 :rule trans :premises (@p130 @p129)) % 30.82/31.07 (step @p132 :rule nary_cong :premises (@p131 @p126) :args (@t56)) % 30.82/31.07 (step @p133 :rule cong :premises (@p132) :args (@t57)) % 30.82/31.07 (step @p134 :rule refl :args (@t59)) % 30.82/31.07 (step @p135 :rule nary_cong :premises (@p134 @p128) :args (@t60)) % 30.82/31.07 (step @p136 :rule cong :premises (@p135) :args (@t61)) % 30.82/31.07 (step @p137 :rule nary_cong :premises (@p136 @p133) :args (@t62)) % 30.82/31.07 (step @p138 :rule cong :premises (@p137) :args (@t63)) % 30.82/31.07 (step @p139 :rule trans :premises (@p138 @p125)) % 30.82/31.07 (step @p140 :rule eq_resolve :premises (@p45 @p139)) % 30.82/31.07 (step @p141 :rule and_elim :premises (@p140) :args (1)) % 30.82/31.07 (step @p142 :rule instantiate :premises (@p141) :args ((@list tptp.empty_set tptp.empty_set @t132))) % 30.82/31.07 (step @p143 :rule eq-symm :args (@t32 @t1)) % 30.82/31.07 (step @p144 :rule cong :premises (@p126 @p143) :args (@t72)) % 30.82/31.07 (step @p145 :rule cong :premises (@p144) :args (@t73)) % 30.82/31.07 (step @p146 :rule eq_resolve :premises (@p58 @p145)) % 30.82/31.07 (step @p147 :rule instantiate :premises (@p146) :args ((@list tptp.empty_set tptp.empty_set))) % 30.82/31.07 (step @p148 :rule eq-symm :args (@t68 tptp.empty_set)) % 30.82/31.07 (step @p149 :rule cong :premises (@p148) :args (@t69)) % 30.82/31.07 (step @p150 :rule eq_resolve :premises (@p50 @p149)) % 30.82/31.07 (step @p151 :rule instantiate :premises (@p150) :args ((@list tptp.empty_set))) % 30.82/31.07 (step @p152 :rule cnf_equiv_pos2 :args (@t135)) % 30.82/31.07 (step @p153 :rule reordering :premises (@p152) :args ((or @t134 @t136 (not @t135)))) % 30.82/31.07 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p147) :args (@t134 @t137 (@list @t133 @t135))) % 30.82/31.07 (step @p155 :rule cnf_or_pos :args (@t141)) % 30.82/31.07 (step @p156 :rule factoring :premises (@p155)) % 30.82/31.07 (step @p157 :rule reordering :premises (@p156) :args ((or @t140 @t139 (not @t141)))) % 30.82/31.07 (step @p158 :rule chain_m_resolution :premises (@p157 @p154 @p142) :args (@t139 @t137 (@list @t134 @t141))) % 30.82/31.07 (step @p159 :rule cnf_equiv_neg1 :args (@t146)) % 30.82/31.07 (step @p160 :rule reordering :premises (@p159) :args ((or @t138 @t145 @t146))) % 30.82/31.07 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p92) :args (@t145 @t147 (@list @t138 @t146))) % 30.82/31.07 (step @p162 :rule cnf_and_pos :args (@t145 1)) % 30.82/31.07 (step @p163 :rule reordering :premises (@p162) :args ((or @t143 @t148))) % 30.82/31.07 (step @p164 :rule chain_m_resolution :premises (@p163 @p161) :args (@t143 @t149 @t150)) % 30.82/31.07 (step @p165 :rule eq-symm :args (@t14 @t1)) % 30.82/31.07 (step @p166 :rule refl :args (@t15)) % 30.82/31.07 (step @p167 :rule cong :premises (@p166 @p165) :args (@t16)) % 30.82/31.07 (step @p168 :rule cong :premises (@p167) :args (@t18)) % 30.82/31.07 (step @p169 :rule refl :args (@t20)) % 30.82/31.07 (step @p170 :rule cong :premises (@p169 @p168) :args (@t21)) % 30.82/31.07 (step @p171 :rule cong :premises (@p170) :args (@t22)) % 30.82/31.07 (step @p172 :rule eq_resolve :premises (@p7 @p171)) % 30.82/31.07 (step @p173 :rule bool-eq-true :args (@t152)) % 30.82/31.07 (step @p174 :rule eq-symm :args (true @t152)) % 30.82/31.07 (step @p175 :rule trans :premises (@p174 @p173)) % 30.82/31.07 (step @p176 :rule eq-symm :args (@t78 @t14)) % 30.82/31.07 (step @p177 :rule refl :args (@t151)) % 30.82/31.07 (step @p178 :rule cong :premises (@p177 @p176) :args (@t153)) % 30.82/31.07 (step @p179 :rule cong :premises (@p178) :args (@t154)) % 30.82/31.07 (step @p180 :rule eq-refl :args (@t79)) % 30.82/31.07 (step @p181 :rule cong :premises (@p180 @p179) :args (@t155)) % 30.82/31.07 (step @p182 :rule trans :premises (@p181 @p175)) % 30.82/31.07 (step @p183 :rule refl :args (@t156)) % 30.82/31.07 (step @p184 :rule cong :premises (@p183 @p182) :args ((=> @t156 @t155))) % 30.82/31.07 (assume-push @p573 @t156) % 30.82/31.07 (step @p186 :rule instantiate :premises (@p172) :args ((@list @t78 @t79))) % 30.82/31.07 (step-pop @p574 :rule scope :premises (@p186)) % 30.82/31.07 (step @p187 :rule process_scope :premises (@p574) :args (@t155)) % 30.82/31.07 (step @p189 :rule eq_resolve :premises (@p187 @p184)) % 30.82/31.07 (step @p190 :rule implies_elim :premises (@p189)) % 30.82/31.07 (step @p191 :rule chain_m_resolution :premises (@p190 @p172) :args (@t152 @t149 (@list @t156))) % 30.82/31.07 (step @p192 :rule eq-symm :args (@t132 @t78)) % 30.82/31.07 (step @p193 :rule refl :args (@t144)) % 30.82/31.07 (step @p194 :rule cong :premises (@p193 @p192) :args (@t157)) % 30.82/31.07 (step @p195 :rule refl :args (@t152)) % 30.82/31.07 (step @p196 :rule cong :premises (@p195 @p194) :args ((=> @t152 @t157))) % 30.82/31.07 (assume-push @p575 @t152) % 30.82/31.07 (step @p198 :rule instantiate :premises (@p191) :args ((@list @t132))) % 30.82/31.07 (step-pop @p576 :rule scope :premises (@p198)) % 30.82/31.07 (step @p199 :rule process_scope :premises (@p576) :args (@t157)) % 30.82/31.07 (step @p201 :rule eq_resolve :premises (@p199 @p196)) % 30.82/31.07 (step @p202 :rule implies_elim :premises (@p201)) % 30.82/31.07 (step @p203 :rule chain_m_resolution :premises (@p202 @p191) :args (@t159 @t149 @t160)) % 30.82/31.07 (step @p204 :rule cnf_and_pos :args (@t145 0)) % 30.82/31.07 (step @p205 :rule reordering :premises (@p204) :args ((or @t144 @t148))) % 30.82/31.07 (step @p206 :rule chain_m_resolution :premises (@p205 @p161) :args (@t144 @t149 @t150)) % 30.82/31.07 (step @p207 :rule cnf_equiv_pos1 :args (@t159)) % 30.82/31.07 (step @p208 :rule reordering :premises (@p207) :args ((or (not @t144) @t158 (not @t159)))) % 30.82/31.07 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p203) :args (@t158 @t137 (@list @t144 @t159))) % 30.82/31.07 (step @p210 :rule bool-eq-true :args (@t162)) % 30.82/31.07 (step @p211 :rule eq-symm :args (true @t162)) % 30.82/31.07 (step @p212 :rule trans :premises (@p211 @p210)) % 30.82/31.07 (step @p213 :rule refl :args (@t162)) % 30.82/31.07 (step @p214 :rule eq-refl :args (@t94)) % 30.82/31.07 (step @p215 :rule cong :premises (@p214 @p213) :args (@t163)) % 30.82/31.07 (step @p216 :rule trans :premises (@p215 @p212)) % 30.82/31.07 (step @p217 :rule refl :args (@t33)) % 30.82/31.07 (step @p218 :rule cong :premises (@p217 @p216) :args ((=> @t33 @t163))) % 30.82/31.07 (assume-push @p577 @t33) % 30.82/31.07 (step @p220 :rule instantiate :premises (@p13) :args ((@list @t79 @t77 @t94))) % 30.82/31.07 (step-pop @p578 :rule scope :premises (@p220)) % 30.82/31.07 (step @p221 :rule process_scope :premises (@p578) :args (@t163)) % 30.82/31.07 (step @p223 :rule eq_resolve :premises (@p221 @p218)) % 30.82/31.07 (step @p224 :rule implies_elim :premises (@p223)) % 30.82/31.07 (step @p225 :rule chain_m_resolution :premises (@p224 @p13) :args (@t162 @t149 @t164)) % 30.82/31.07 (step @p226 :rule instantiate :premises (@p225) :args (@t168)) % 30.82/31.07 (step @p227 :rule eq-symm :args (@t170 @t166)) % 30.82/31.07 (step @p228 :rule refl :args (@t166)) % 30.82/31.07 (step @p229 :rule eq-symm :args (@t94 @t169)) % 30.82/31.07 (step @p230 :rule cong :premises (@p229 @p228) :args (@t171)) % 30.82/31.07 (step @p231 :rule trans :premises (@p230 @p227)) % 30.82/31.07 (step @p232 :rule cong :premises (@p217 @p231) :args ((=> @t33 @t171))) % 30.82/31.07 (assume-push @p579 @t33) % 30.82/31.07 (step @p234 :rule instantiate :premises (@p13) :args ((@list @t79 tptp.empty_set @t94))) % 30.82/31.07 (step-pop @p580 :rule scope :premises (@p234)) % 30.82/31.07 (step @p235 :rule process_scope :premises (@p580) :args (@t171)) % 30.82/31.07 (step @p237 :rule eq_resolve :premises (@p235 @p232)) % 30.82/31.07 (step @p238 :rule implies_elim :premises (@p237)) % 30.82/31.07 (step @p239 :rule chain_m_resolution :premises (@p238 @p13) :args (@t172 @t149 @t164)) % 30.82/31.07 (step @p240 :rule eq-symm :args (@t52 @t1)) % 30.82/31.07 (step @p241 :rule cong :premises (@p240) :args (@t53)) % 30.82/31.07 (step @p242 :rule eq_resolve :premises (@p44 @p241)) % 30.82/31.07 (step @p243 :rule instantiate :premises (@p242) :args ((@list @t79))) % 30.82/31.07 (step @p244 :rule eq-symm 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:premises (@p460)) % 30.82/31.08 (step-pop @p642 :rule scope :premises (@p641)) % 30.82/31.08 (step @p461 :rule process_scope :premises (@p642) :args (@t222)) % 30.82/31.08 (step @p464 :rule and_intro :premises (@p638 @p243)) % 30.82/31.08 (step @p465 :rule modus_ponens :premises (@p464 @p461)) % 30.82/31.08 (step-pop @p643 :rule scope :premises (@p465)) % 30.82/31.08 (step-pop @p644 :rule scope :premises (@p643)) % 30.82/31.08 (step @p466 :rule process_scope :premises (@p644) :args (@t222)) % 30.82/31.08 (step @p469 :rule implies_elim :premises (@p466)) % 30.82/31.08 (step @p470 :rule cnf_and_neg :args (@t225)) % 30.82/31.08 (step @p471 :rule resolution :premises (@p470 @p469) :args (true @t225)) % 30.82/31.08 (step @p472 :rule eq_resolve :premises (@p471 @p451)) % 30.82/31.08 (step @p473 :rule chain_m_resolution :premises (@p472 @p447 @p243) :args (@t222 @t93 (@list @t190 @t223))) % 30.82/31.08 (step @p474 :rule cnf_equiv_pos1 :args (@t172)) % 30.82/31.08 (step @p475 :rule reordering :premises (@p474) :args ((or @t170 @t226 (not @t172)))) % 30.82/31.08 (step @p476 :rule chain_m_resolution :premises (@p475 @p473 @p239) :args (@t226 @t93 (@list @t170 @t172))) % 30.82/31.08 (step @p477 :rule refl :args (@t233)) % 30.82/31.08 (step @p478 :rule bool-double-not-elim :args (@t166)) % 30.82/31.08 (step @p479 :rule nary_cong :premises (@p478 @p477) :args ((or (not @t226) @t233))) % 30.82/31.08 (assume-push @p645 @t226) % 30.82/31.08 (step @p481 :rule skolemize :premises (@p645)) % 30.82/31.08 (step-pop @p646 :rule scope :premises (@p481)) % 30.82/31.08 (step @p482 :rule process_scope :premises (@p646) :args (@t233)) % 30.82/31.08 (step @p484 :rule implies_elim :premises (@p482)) % 30.82/31.08 (step @p485 :rule eq_resolve :premises (@p484 @p479)) % 30.82/31.08 (step @p486 :rule chain_m_resolution :premises (@p485 @p476) :args (@t233 @t88 (@list @t166))) % 30.82/31.08 (step @p487 :rule cnf_equiv_pos1 :args (@t237)) % 30.82/31.08 (step @p488 :rule reordering :premises (@p487) :args ((or @t239 @t236 @t238))) % 30.82/31.08 (step @p489 :rule cnf_equiv_neg2 :args (@t232)) % 30.82/31.08 (step @p490 :rule cnf_and_pos :args (@t236 0)) % 30.82/31.08 (step @p491 :rule reordering :premises (@p490) :args ((or @t229 @t240))) % 30.82/31.08 (step @p492 :rule instantiate :premises (@p141) :args ((@list tptp.empty_set tptp.empty_set @t167))) % 30.82/31.08 (step @p493 :rule cnf_or_pos :args (@t241)) % 30.82/31.08 (step @p494 :rule factoring :premises (@p493)) % 30.82/31.08 (step @p495 :rule reordering :premises (@p494) :args ((or @t140 @t228 (not @t241)))) % 30.82/31.08 (step @p496 :rule chain_m_resolution :premises (@p495 @p154 @p492) :args (@t228 @t137 (@list @t134 @t241))) % 30.82/31.08 (step @p497 :rule bool-double-not-elim :args (@t227)) % 30.82/31.08 (step @p498 :rule refl :args (@t242)) % 30.82/31.08 (step @p499 :rule refl :args (@t230)) % 30.82/31.08 (step @p500 :rule nary_cong :premises (@p499 @p498 @p497) :args ((or @t230 @t242 (not @t228)))) % 30.82/31.08 (step @p501 :rule cnf_and_neg :args (@t230)) % 30.82/31.08 (step @p502 :rule eq_resolve :premises (@p501 @p500)) % 30.82/31.08 (step @p503 :rule reordering :premises (@p502) :args ((or @t227 @t230 @t242))) % 30.82/31.08 (step @p504 :rule chain_m_resolution :premises (@p503 @p496 @p491 @p489 @p488 @p226) :args ((or @t232 @t239) (@list true false true false false) (@list @t227 @t229 @t230 @t236 @t237))) % 30.82/31.08 (step @p505 :rule chain_m_resolution :premises (@p504 @p486) :args (@t239 @t88 (@list @t232))) % 30.82/31.08 (step @p506 :rule cnf_equiv_pos2 :args (@t237)) % 30.82/31.08 (step @p507 :rule reordering :premises (@p506) :args ((or @t231 @t240 @t238))) % 30.82/31.08 (step @p508 :rule chain_m_resolution :premises (@p507 @p505 @p226) :args (@t240 @t93 (@list @t231 @t237))) % 30.82/31.08 (step @p509 :rule cnf_equiv_neg1 :args (@t232)) % 30.82/31.08 (step @p510 :rule reordering :premises (@p509) :args ((or @t231 @t230 @t232))) % 30.82/31.08 (step @p511 :rule chain_m_resolution :premises (@p510 @p505 @p486) :args (@t230 @t147 (@list @t231 @t232))) % 30.82/31.08 (step @p512 :rule cnf_and_pos :args (@t230 0)) % 30.82/31.08 (step @p513 :rule reordering :premises (@p512) :args ((or @t229 (not @t230)))) % 30.82/31.08 (step @p514 :rule chain_m_resolution :premises (@p513 @p511) :args (@t229 @t149 (@list @t230))) % 30.82/31.08 (step @p515 :rule bool-double-not-elim :args (@t234)) % 30.82/31.08 (step @p516 :rule refl :args (@t236)) % 30.82/31.08 (step @p517 :rule nary_cong :premises (@p516 @p498 @p515) :args ((or @t236 @t242 (not @t235)))) % 30.82/31.08 (step @p518 :rule cnf_and_neg :args (@t236)) % 30.82/31.08 (step @p519 :rule eq_resolve :premises (@p518 @p517)) % 30.82/31.08 (step @p520 :rule reordering :premises (@p519) :args ((or @t242 @t234 @t236))) % 30.82/31.08 (step @p521 :rule chain_m_resolution :premises (@p520 @p514 @p508) :args (@t234 (@list false true) (@list @t229 @t236))) % 30.82/31.08 (step @p522 :rule eq-symm :args (@t167 @t78)) % 30.82/31.08 (step @p523 :rule refl :args (@t229)) % 30.82/31.08 (step @p524 :rule cong :premises (@p523 @p522) :args (@t243)) % 30.82/31.08 (step @p525 :rule cong :premises (@p195 @p524) :args ((=> @t152 @t243))) % 30.82/31.08 (assume-push @p647 @t152) % 30.82/31.08 (step @p527 :rule instantiate :premises (@p191) :args (@t168)) % 30.82/31.08 (step-pop @p648 :rule scope :premises (@p527)) % 30.82/31.08 (step @p528 :rule process_scope :premises (@p648) :args (@t243)) % 30.82/31.08 (step @p530 :rule eq_resolve :premises (@p528 @p525)) % 30.82/31.08 (step @p531 :rule implies_elim :premises (@p530)) % 30.82/31.08 (step @p532 :rule chain_m_resolution :premises (@p531 @p191) :args (@t245 @t149 @t160)) % 30.82/31.08 (step @p533 :rule cnf_equiv_pos1 :args (@t245)) % 30.82/31.08 (step @p534 :rule reordering :premises (@p533) :args ((or @t242 @t244 (not @t245)))) % 30.82/31.08 (step @p535 :rule chain_m_resolution :premises (@p534 @p514 @p532) :args (@t244 @t137 (@list @t229 @t245))) % 30.82/31.08 (step @p536 :rule refl :args (@t246)) % 30.82/31.08 (step @p537 :rule refl :args (@t247)) % 30.82/31.08 (step @p538 :rule refl :args (@t235)) % 30.82/31.08 (step @p539 :rule bool-double-not-elim :args (@t142)) % 30.82/31.08 (step @p540 :rule nary_cong :premises (@p539 @p538 @p537 @p536) :args ((or (not @t143) @t235 @t247 @t246))) % 30.82/31.08 (assume-push @p649 @t143) % 30.82/31.08 (assume-push @p650 @t158) % 30.82/31.08 (assume-push @p651 @t244) % 30.82/31.08 (assume-push @p652 @t234) % 30.82/31.08 (step @p277 :rule evaluate :args (@t185)) % 30.82/31.08 (step @p545 :rule false_intro :premises (@p164)) % 30.82/31.08 (step @p316 :rule refl :args (@t77)) % 30.82/31.08 (step @p546 :rule symm :premises (@p651)) % 30.82/31.08 (step @p547 :rule trans :premises (@p546 @p209)) % 30.82/31.08 (step @p548 :rule cong :premises (@p547 @p316) :args (@t234)) % 30.82/31.08 (step @p549 :rule true_intro :premises (@p652)) % 30.82/31.08 (step @p550 :rule symm :premises (@p549)) % 30.82/31.08 (step @p551 :rule trans :premises (@p550 @p548 @p545)) % 30.82/31.08 (step @p552 false :rule eq_resolve :premises (@p551 @p277)) % 30.82/31.08 (step-pop @p653 :rule scope :premises (@p552)) % 30.82/31.08 (step-pop @p654 :rule scope :premises (@p653)) % 30.82/31.08 (step-pop @p655 :rule scope :premises (@p654)) % 30.82/31.08 (step-pop @p656 :rule scope :premises (@p655)) % 30.82/31.08 (step @p553 :rule process_scope :premises (@p656) :args (false)) % 30.82/31.08 (assume-push @p657 @t143) % 30.82/31.08 (assume-push @p658 @t234) % 30.82/31.08 (assume-push @p659 @t158) % 30.82/31.08 (assume-push @p660 @t244) % 30.82/31.08 (step @p562 :rule and_intro :premises (@p164 @p209 @p660 @p658)) % 30.82/31.08 (step-pop @p661 :rule scope :premises (@p562)) % 30.82/31.08 (step-pop @p662 :rule scope :premises (@p661)) % 30.82/31.08 (step-pop @p663 :rule scope :premises (@p662)) % 30.82/31.08 (step-pop @p664 :rule scope :premises (@p663)) % 30.82/31.08 (step @p563 :rule process_scope :premises (@p664) :args (@t248)) % 30.82/31.08 (step @p568 :rule implies_elim :premises (@p563)) % 30.82/31.08 (step @p569 :rule resolution :premises (@p568 @p553) :args (true @t248)) % 30.82/31.08 (step @p570 :rule not_and :premises (@p569)) % 30.82/31.08 (step @p571 :rule eq_resolve :premises (@p570 @p540)) % 30.82/31.08 (step @p572 false :rule chain_m_resolution :premises (@p571 @p535 @p521 @p209 @p164) :args (false (@list false false false true) (@list @t244 @t234 @t158 @t142))) % 30.82/31.08 ) % 30.82/31.08 % SZS output end Proof % 30.82/31.08 % cvc5 exiting %------------------------------------------------------------------------------