%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET808+4 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:48:41 AM UTC 2026 % Result : Theorem 34.10s 34.77s % Output : Proof 34.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SET808+4 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n002.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 16:13:03 EDT 2026 % 0.15/0.33 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 34.10/34.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.10/34.77 --- Run --no-e-matching --full-saturate-quant at 6... % 34.10/34.77 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.10/34.77 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.10/34.77 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.10/34.77 % SZS status Theorem % 34.10/34.77 % SZS output start Proof % 34.10/34.77 ( % 34.10/34.77 (declare-sort $$unsorted 0) % 34.10/34.77 (declare-const tptp.strict_order (-> $$unsorted $$unsorted Bool)) % 34.10/34.77 (declare-const tptp.on $$unsorted) % 34.10/34.77 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.10/34.77 (declare-const tptp.set (-> $$unsorted Bool)) % 34.10/34.77 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 34.10/34.77 (declare-const tptp.suc (-> $$unsorted $$unsorted)) % 34.10/34.77 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 34.10/34.77 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 34.10/34.77 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 34.10/34.77 (declare-const tptp.initial_segment (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.10/34.77 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 34.10/34.77 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 34.10/34.77 (declare-const tptp.empty_set $$unsorted) % 34.10/34.77 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 34.10/34.77 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 34.10/34.77 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 34.10/34.77 (declare-const tptp.least (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.10/34.77 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 34.10/34.77 (declare-const tptp.strict_well_order (-> $$unsorted $$unsorted Bool)) % 34.10/34.77 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 34.10/34.77 (declare-const tptp.member_predicate $$unsorted) % 34.10/34.77 (define @t1 () (@var "B" $$unsorted)) % 34.10/34.77 (define @t2 () (@var "X" $$unsorted)) % 34.10/34.77 (define @t3 () (tptp.member @t2 @t1)) % 34.10/34.77 (define @t4 () (@var "A" $$unsorted)) % 34.10/34.77 (define @t5 () (tptp.member @t2 @t4)) % 34.10/34.77 (define @t6 () (@list @t2)) % 34.10/34.77 (define @t7 () (forall @t6 (=> @t5 @t3))) % 34.10/34.77 (define @t8 () (tptp.subset @t4 @t1)) % 34.10/34.77 (define @t9 () (= @t8 @t7)) % 34.10/34.77 (define @t10 () (@list @t4 @t1)) % 34.10/34.77 (define @t11 () (forall @t10 @t9)) % 34.10/34.77 (define @t12 () (tptp.subset @t2 @t4)) % 34.10/34.77 (define @t13 () (@list @t2 @t4)) % 34.10/34.77 (define @t14 () (@list @t2 @t4 @t1)) % 34.10/34.77 (define @t15 () (@var "E" $$unsorted)) % 34.10/34.77 (define @t16 () (= @t2 @t4)) % 34.10/34.77 (define @t17 () (tptp.singleton @t4)) % 34.10/34.77 (define @t18 () (@var "Y" $$unsorted)) % 34.10/34.77 (define @t19 () (tptp.member @t2 @t18)) % 34.10/34.77 (define @t20 () (tptp.member @t18 @t4)) % 34.10/34.77 (define @t21 () (@list @t18)) % 34.10/34.77 (define @t22 () (forall @t6 (=> @t5 @t12))) % 34.10/34.77 (define @t23 () (tptp.strict_well_order tptp.member_predicate @t4)) % 34.10/34.77 (define @t24 () (tptp.set @t4)) % 34.10/34.77 (define @t25 () (and @t24 @t23 @t22)) % 34.10/34.77 (define @t26 () (tptp.member @t4 tptp.on)) % 34.10/34.77 (define @t27 () (= @t26 @t25)) % 34.10/34.77 (define @t28 () (@list @t4)) % 34.10/34.77 (define @t29 () (forall @t28 @t27)) % 34.10/34.77 (define @t30 () (@var "R" $$unsorted)) % 34.10/34.77 (define @t31 () (tptp.least @t18 @t30 @t4)) % 34.10/34.77 (define @t32 () (exists @t21 @t31)) % 34.10/34.77 (define @t33 () (exists @t6 @t5)) % 34.10/34.77 (define @t34 () (tptp.subset @t4 @t15)) % 34.10/34.77 (define @t35 () (and @t34 @t33)) % 34.10/34.77 (define @t36 () (=> @t35 @t32)) % 34.10/34.77 (define @t37 () (forall @t28 @t36)) % 34.10/34.77 (define @t38 () (tptp.strict_order @t30 @t15)) % 34.10/34.77 (define @t39 () (and @t38 @t37)) % 34.10/34.77 (define @t40 () (tptp.strict_well_order @t30 @t15)) % 34.10/34.77 (define @t41 () (= @t40 @t39)) % 34.10/34.77 (define @t42 () (@list @t30 @t15)) % 34.10/34.77 (define @t43 () (forall @t42 @t41)) % 34.10/34.77 (define @t44 () (@var "M" $$unsorted)) % 34.10/34.77 (define @t45 () (tptp.member @t2 @t15)) % 34.10/34.77 (define @t46 () (tptp.apply tptp.member_predicate @t2 @t18)) % 34.10/34.77 (define @t47 () (@list @t2 @t18)) % 34.10/34.77 (define @t48 () (forall @t47 (= @t46 @t19))) % 34.10/34.77 (define @t49 () (@var "Z" $$unsorted)) % 34.10/34.77 (define @t50 () (tptp.apply @t30 @t2 @t49)) % 34.10/34.77 (define @t51 () (tptp.apply @t30 @t18 @t49)) % 34.10/34.77 (define @t52 () (tptp.apply @t30 @t2 @t18)) % 34.10/34.77 (define @t53 () (and @t52 @t51)) % 34.10/34.77 (define @t54 () (=> @t53 @t50)) % 34.10/34.77 (define @t55 () (tptp.member @t49 @t15)) % 34.10/34.77 (define @t56 () (tptp.member @t18 @t15)) % 34.10/34.77 (define @t57 () (and @t45 @t56 @t55)) % 34.10/34.77 (define @t58 () (@list @t2 @t18 @t49)) % 34.10/34.77 (define @t59 () (forall @t58 (=> @t57 @t54))) % 34.10/34.77 (define @t60 () (tptp.apply @t30 @t18 @t2)) % 34.10/34.77 (define @t61 () (not (and @t52 @t60))) % 34.10/34.77 (define @t62 () (and @t45 @t56)) % 34.10/34.77 (define @t63 () (forall @t47 (=> @t62 @t61))) % 34.10/34.77 (define @t64 () (and @t63 @t59)) % 34.10/34.77 (define @t65 () (= @t38 @t64)) % 34.10/34.77 (define @t66 () (forall @t42 @t65)) % 34.10/34.77 (define @t67 () (tptp.set @t18)) % 34.10/34.77 (define @t68 () (tptp.member @t18 @t2)) % 34.10/34.77 (define @t69 () (forall @t21 (=> @t68 @t67))) % 34.10/34.77 (define @t70 () (tptp.set @t2)) % 34.10/34.77 (define @t71 () (=> @t70 @t69)) % 34.10/34.77 (define @t72 () (forall @t6 @t71)) % 34.10/34.77 (define @t73 () (@var "C" $$unsorted)) % 34.10/34.77 (define @t74 () (tptp.subset @t4 @t73)) % 34.10/34.77 (define @t75 () (tptp.subset @t1 @t73)) % 34.10/34.77 (define @t76 () (and @t8 @t75)) % 34.10/34.77 (define @t77 () (forall (@list @t4 @t1 @t73) (=> @t76 @t74))) % 34.10/34.77 (define @t78 () (tptp.subset @t4 tptp.on)) % 34.10/34.77 (define @t79 () (forall @t28 (=> @t26 @t78))) % 34.10/34.77 (define @t80 () (not @t79)) % 34.10/34.77 (define @t81 () (@quantifiers_skolemize (forall @t28 (or (not @t26) @t78)) 0)) % 34.10/34.77 (define @t82 () (tptp.member @t2 @t81)) % 34.10/34.77 (define @t83 () (not @t82)) % 34.10/34.77 (define @t84 () (forall @t6 (or @t83 (tptp.member @t2 tptp.on)))) % 34.10/34.77 (define @t85 () (@quantifiers_skolemize @t84 0)) % 34.10/34.77 (define @t86 () (tptp.member @t2 @t85)) % 34.10/34.77 (define @t87 () (not @t86)) % 34.10/34.77 (define @t88 () (forall @t6 (or @t87 (tptp.subset @t2 @t85)))) % 34.10/34.77 (define @t89 () (@quantifiers_skolemize @t88 0)) % 34.10/34.77 (define @t90 () (tptp.member @t81 tptp.on)) % 34.10/34.77 (define @t91 () (tptp.subset @t81 tptp.on)) % 34.10/34.77 (define @t92 () (not @t90)) % 34.10/34.77 (define @t93 () (or @t92 @t91)) % 34.10/34.77 (define @t94 () (@list true)) % 34.10/34.77 (define @t95 () (@list @t93)) % 34.10/34.77 (define @t96 () (forall @t6 (or @t83 (tptp.subset @t2 @t81)))) % 34.10/34.77 (define @t97 () (tptp.strict_well_order tptp.member_predicate @t81)) % 34.10/34.77 (define @t98 () (tptp.set @t81)) % 34.10/34.77 (define @t99 () (and @t98 @t97 @t96)) % 34.10/34.77 (define @t100 () (= @t90 @t99)) % 34.10/34.77 (define @t101 () (@list false false)) % 34.10/34.77 (define @t102 () (not @t99)) % 34.10/34.77 (define @t103 () (@list false)) % 34.10/34.77 (define @t104 () (@list @t99)) % 34.10/34.77 (define @t105 () (@list @t89)) % 34.10/34.77 (define @t106 () (@list @t85)) % 34.10/34.77 (define @t107 () (= @t91 @t84)) % 34.10/34.77 (define @t108 () (not @t84)) % 34.10/34.77 (define @t109 () (@list true false)) % 34.10/34.77 (define @t110 () (tptp.member @t85 @t81)) % 34.10/34.77 (define @t111 () (tptp.member @t85 tptp.on)) % 34.10/34.77 (define @t112 () (not @t110)) % 34.10/34.77 (define @t113 () (or @t112 @t111)) % 34.10/34.77 (define @t114 () (@list @t113)) % 34.10/34.77 (define @t115 () (tptp.subset @t85 @t81)) % 34.10/34.77 (define @t116 () (or @t112 @t115)) % 34.10/34.77 (define @t117 () (forall @t6 (or @t87 @t82))) % 34.10/34.77 (define @t118 () (= @t115 @t117)) % 34.10/34.77 (define @t119 () (not @t115)) % 34.10/34.77 (define @t120 () (not (forall @t21 (not @t31)))) % 34.10/34.77 (define @t121 () (@var "BOUND_VARIABLE_7650" $$unsorted)) % 34.10/34.77 (define @t122 () (not (tptp.member @t121 @t4))) % 34.10/34.77 (define @t123 () (not @t34)) % 34.10/34.77 (define @t124 () (or @t123 @t122 @t120)) % 34.10/34.77 (define @t125 () (@list @t4 @t121)) % 34.10/34.77 (define @t126 () (@list @t121)) % 34.10/34.77 (define @t127 () (forall @t126 @t124)) % 34.10/34.77 (define @t128 () (forall @t126 @t122)) % 34.10/34.77 (define @t129 () (or @t123 @t128 @t120)) % 34.10/34.77 (define @t130 () (forall @t6 (not @t5))) % 34.10/34.77 (define @t131 () (or @t123 @t130 @t120)) % 34.10/34.77 (define @t132 () (not @t130)) % 34.10/34.77 (define @t133 () (and @t34 @t132)) % 34.10/34.77 (define @t134 () (@list tptp.member_predicate @t85)) % 34.10/34.77 (define @t135 () (not (forall @t21 (not (tptp.least @t18 tptp.member_predicate @t4))))) % 34.10/34.77 (define @t136 () (forall @t125 (or (not (tptp.subset @t4 @t85)) @t122 @t135))) % 34.10/34.77 (define @t137 () (@quantifiers_skolemize @t136 0)) % 34.10/34.77 (define @t138 () (tptp.subset @t137 @t85)) % 34.10/34.77 (define @t139 () (forall @t21 (not (tptp.least @t18 tptp.member_predicate @t137)))) % 34.10/34.77 (define @t140 () (not @t139)) % 34.10/34.77 (define @t141 () (@quantifiers_skolemize @t136 1)) % 34.10/34.77 (define @t142 () (tptp.member @t141 @t137)) % 34.10/34.77 (define @t143 () (not @t142)) % 34.10/34.77 (define @t144 () (not @t138)) % 34.10/34.77 (define @t145 () (or @t144 @t143 @t140)) % 34.10/34.77 (define @t146 () (not @t75)) % 34.10/34.77 (define @t147 () (not @t8)) % 34.10/34.77 (define @t148 () (tptp.subset @t137 @t81)) % 34.10/34.77 (define @t149 () (or @t144 @t119 @t148)) % 34.10/34.77 (define @t150 () (@list tptp.member_predicate @t81)) % 34.10/34.77 (define @t151 () (forall @t125 (or (not (tptp.subset @t4 @t81)) @t122 @t135))) % 34.10/34.77 (define @t152 () (tptp.strict_order tptp.member_predicate @t81)) % 34.10/34.77 (define @t153 () (and @t152 @t151)) % 34.10/34.77 (define @t154 () (= @t97 @t153)) % 34.10/34.77 (define @t155 () (not @t153)) % 34.10/34.77 (define @t156 () (@list @t153)) % 34.10/34.77 (define @t157 () (not @t148)) % 34.10/34.77 (define @t158 () (or @t157 @t143 @t140)) % 34.10/34.77 (define @t159 () (not @t145)) % 34.10/34.77 (define @t160 () (not @t136)) % 34.10/34.77 (define @t161 () (not @t51)) % 34.10/34.77 (define @t162 () (not @t52)) % 34.10/34.77 (define @t163 () (not @t55)) % 34.10/34.77 (define @t164 () (not @t56)) % 34.10/34.77 (define @t165 () (not @t45)) % 34.10/34.77 (define @t166 () (or @t162 @t161 @t50)) % 34.10/34.77 (define @t167 () (or @t165 @t164 @t163)) % 34.10/34.77 (define @t168 () (not @t60)) % 34.10/34.77 (define @t169 () (tptp.apply tptp.member_predicate @t2 @t49)) % 34.10/34.77 (define @t170 () (not (tptp.apply tptp.member_predicate @t18 @t49))) % 34.10/34.77 (define @t171 () (not @t46)) % 34.10/34.77 (define @t172 () (not (tptp.member @t18 @t85))) % 34.10/34.77 (define @t173 () (forall @t58 (or @t87 @t172 (not (tptp.member @t49 @t85)) @t171 @t170 @t169))) % 34.10/34.77 (define @t174 () (@quantifiers_skolemize @t173 0)) % 34.10/34.77 (define @t175 () (tptp.member @t174 @t85)) % 34.10/34.77 (define @t176 () (@quantifiers_skolemize @t173 2)) % 34.10/34.77 (define @t177 () (tptp.apply tptp.member_predicate @t174 @t176)) % 34.10/34.77 (define @t178 () (@quantifiers_skolemize @t173 1)) % 34.10/34.77 (define @t179 () (tptp.apply tptp.member_predicate @t178 @t176)) % 34.10/34.77 (define @t180 () (not @t179)) % 34.10/34.77 (define @t181 () (tptp.apply tptp.member_predicate @t174 @t178)) % 34.10/34.77 (define @t182 () (not @t181)) % 34.10/34.77 (define @t183 () (tptp.member @t176 @t85)) % 34.10/34.77 (define @t184 () (not @t183)) % 34.10/34.77 (define @t185 () (tptp.member @t178 @t85)) % 34.10/34.77 (define @t186 () (not @t185)) % 34.10/34.77 (define @t187 () (not @t175)) % 34.10/34.77 (define @t188 () (or @t187 @t186 @t184 @t182 @t180 @t177)) % 34.10/34.77 (define @t189 () (tptp.member @t174 @t81)) % 34.10/34.77 (define @t190 () (or @t187 @t189)) % 34.10/34.77 (define @t191 () (tptp.member @t178 @t81)) % 34.10/34.77 (define @t192 () (or @t186 @t191)) % 34.10/34.77 (define @t193 () (tptp.member @t176 @t81)) % 34.10/34.77 (define @t194 () (or @t184 @t193)) % 34.10/34.77 (define @t195 () (not (tptp.member @t18 @t81))) % 34.10/34.77 (define @t196 () (forall @t58 (or @t83 @t195 (not (tptp.member @t49 @t81)) @t171 @t170 @t169))) % 34.10/34.77 (define @t197 () (not (tptp.apply tptp.member_predicate @t18 @t2))) % 34.10/34.77 (define @t198 () (forall @t47 (or @t83 @t195 @t171 @t197))) % 34.10/34.77 (define @t199 () (and @t198 @t196)) % 34.10/34.77 (define @t200 () (= @t152 @t199)) % 34.10/34.77 (define @t201 () (not @t199)) % 34.10/34.77 (define @t202 () (@list @t199)) % 34.10/34.77 (define @t203 () (not @t193)) % 34.10/34.77 (define @t204 () (not @t191)) % 34.10/34.77 (define @t205 () (not @t189)) % 34.10/34.77 (define @t206 () (or @t205 @t204 @t203 @t182 @t180 @t177)) % 34.10/34.77 (define @t207 () (not @t188)) % 34.10/34.77 (define @t208 () (not @t173)) % 34.10/34.77 (define @t209 () (forall @t47 (or @t87 @t172 @t171 @t197))) % 34.10/34.77 (define @t210 () (@quantifiers_skolemize @t209 0)) % 34.10/34.77 (define @t211 () (tptp.member @t210 @t85)) % 34.10/34.77 (define @t212 () (@quantifiers_skolemize @t209 1)) % 34.10/34.77 (define @t213 () (tptp.apply tptp.member_predicate @t212 @t210)) % 34.10/34.77 (define @t214 () (not @t213)) % 34.10/34.77 (define @t215 () (tptp.apply tptp.member_predicate @t210 @t212)) % 34.10/34.77 (define @t216 () (not @t215)) % 34.10/34.77 (define @t217 () (tptp.member @t212 @t85)) % 34.10/34.77 (define @t218 () (not @t217)) % 34.10/34.77 (define @t219 () (not @t211)) % 34.10/34.77 (define @t220 () (or @t219 @t218 @t216 @t214)) % 34.10/34.77 (define @t221 () (tptp.member @t210 @t81)) % 34.10/34.77 (define @t222 () (or @t219 @t221)) % 34.10/34.77 (define @t223 () (tptp.member @t212 @t81)) % 34.10/34.77 (define @t224 () (or @t218 @t223)) % 34.10/34.77 (define @t225 () (not @t223)) % 34.10/34.77 (define @t226 () (not @t221)) % 34.10/34.77 (define @t227 () (or @t226 @t225 @t216 @t214)) % 34.10/34.77 (define @t228 () (not @t220)) % 34.10/34.77 (define @t229 () (not @t209)) % 34.10/34.77 (define @t230 () (and @t209 @t173)) % 34.10/34.77 (define @t231 () (tptp.strict_order tptp.member_predicate @t85)) % 34.10/34.77 (define @t232 () (= @t231 @t230)) % 34.10/34.77 (define @t233 () (and @t231 @t136)) % 34.10/34.77 (define @t234 () (tptp.strict_well_order tptp.member_predicate @t85)) % 34.10/34.77 (define @t235 () (= @t234 @t233)) % 34.10/34.77 (define @t236 () (@var "BOUND_VARIABLE_7704" $$unsorted)) % 34.10/34.77 (define @t237 () (tptp.set @t236)) % 34.10/34.77 (define @t238 () (not (tptp.member @t236 @t2))) % 34.10/34.77 (define @t239 () (not @t70)) % 34.10/34.77 (define @t240 () (or @t238 @t237)) % 34.10/34.77 (define @t241 () (or @t239 @t240)) % 34.10/34.77 (define @t242 () (forall (@list @t2 @t236) @t241)) % 34.10/34.77 (define @t243 () (@list @t236)) % 34.10/34.77 (define @t244 () (forall @t243 @t241)) % 34.10/34.77 (define @t245 () (forall @t243 @t240)) % 34.10/34.77 (define @t246 () (or @t239 @t245)) % 34.10/34.77 (define @t247 () (forall @t21 (or (not @t68) @t67))) % 34.10/34.77 (define @t248 () (tptp.set @t85)) % 34.10/34.77 (define @t249 () (not @t98)) % 34.10/34.77 (define @t250 () (or @t249 @t112 @t248)) % 34.10/34.77 (define @t251 () (and @t248 @t234 @t88)) % 34.10/34.77 (define @t252 () (= @t111 @t251)) % 34.10/34.77 (define @t253 () (not @t251)) % 34.10/34.77 (define @t254 () (not @t88)) % 34.10/34.77 (define @t255 () (tptp.subset @t89 @t85)) % 34.10/34.77 (define @t256 () (tptp.member @t89 @t85)) % 34.10/34.77 (define @t257 () (not @t256)) % 34.10/34.77 (define @t258 () (or @t257 @t255)) % 34.10/34.77 (define @t259 () (not @t258)) % 34.10/34.77 (define @t260 () (@list @t258)) % 34.10/34.77 (define @t261 () (tptp.member @t89 @t81)) % 34.10/34.77 (define @t262 () (or @t257 @t261)) % 34.10/34.77 (define @t263 () (tptp.subset @t89 @t81)) % 34.10/34.77 (define @t264 () (not @t261)) % 34.10/34.77 (define @t265 () (or @t264 @t263)) % 34.10/34.77 (define @t266 () (not (tptp.member @t2 @t89))) % 34.10/34.77 (define @t267 () (forall @t6 (or @t266 @t82))) % 34.10/34.77 (define @t268 () (= @t263 @t267)) % 34.10/34.77 (define @t269 () (forall @t6 (or @t266 @t86))) % 34.10/34.77 (define @t270 () (@quantifiers_skolemize @t269 0)) % 34.10/34.77 (define @t271 () (@list @t89 @t85)) % 34.10/34.77 (define @t272 () (= @t255 @t269)) % 34.10/34.77 (define @t273 () (not @t269)) % 34.10/34.77 (define @t274 () (tptp.member @t270 @t85)) % 34.10/34.77 (define @t275 () (tptp.member @t270 @t89)) % 34.10/34.77 (define @t276 () (not @t275)) % 34.10/34.77 (define @t277 () (or @t276 @t274)) % 34.10/34.77 (define @t278 () (not @t277)) % 34.10/34.77 (define @t279 () (@list @t277)) % 34.10/34.77 (define @t280 () (tptp.apply tptp.member_predicate @t270 @t89)) % 34.10/34.77 (define @t281 () (= @t275 @t280)) % 34.10/34.77 (define @t282 () (tptp.apply tptp.member_predicate @t270 @t85)) % 34.10/34.77 (define @t283 () (= @t274 @t282)) % 34.10/34.77 (define @t284 () (not @t282)) % 34.10/34.77 (define @t285 () (tptp.apply tptp.member_predicate @t89 @t85)) % 34.10/34.77 (define @t286 () (= @t256 @t285)) % 34.10/34.77 (define @t287 () (not @t285)) % 34.10/34.77 (define @t288 () (not @t280)) % 34.10/34.77 (define @t289 () (tptp.member @t270 @t81)) % 34.10/34.77 (define @t290 () (not @t289)) % 34.10/34.77 (define @t291 () (or @t290 @t264 @t112 @t288 @t287 @t282)) % 34.10/34.77 (define @t292 () (or @t276 @t289)) % 34.10/34.77 (define @t293 () (not @t292)) % 34.10/34.77 (assume @p1 @t11) % 34.10/34.77 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 34.10/34.77 (assume @p3 (forall @t13 (= (tptp.member @t2 (tptp.power_set @t4)) @t12))) % 34.10/34.77 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 34.10/34.77 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 34.10/34.77 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 34.10/34.77 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 34.10/34.77 (assume @p8 (forall @t13 (= (tptp.member @t2 @t17) @t16))) % 34.10/34.77 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 34.10/34.77 (assume @p10 (forall @t13 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t21 (and @t20 @t19))))) % 34.10/34.77 (assume @p11 (forall @t13 (= (tptp.member @t2 (tptp.product @t4)) (forall @t21 (=> @t20 @t19))))) % 34.10/34.77 (assume @p12 @t29) % 34.10/34.77 (assume @p13 @t43) % 34.10/34.77 (assume @p14 (forall (@list @t30 @t15 @t44) (= (tptp.least @t44 @t30 @t15) (and (tptp.member @t44 @t15) (forall @t6 (=> @t45 (or (= @t44 @t2) (tptp.apply @t30 @t44 @t2)))))))) % 34.10/34.77 (assume @p15 @t48) % 34.10/34.77 (assume @p16 @t66) % 34.10/34.77 (assume @p17 @t72) % 34.10/34.77 (assume @p18 (forall (@list @t2 @t30 @t4 @t18) (= (tptp.member @t18 (tptp.initial_segment @t2 @t30 @t4)) (and @t20 @t60)))) % 34.10/34.77 (assume @p19 (forall (@list @t4 @t2) (= (tptp.member @t2 (tptp.suc @t4)) (tptp.member @t2 (tptp.union @t4 @t17))))) % 34.10/34.77 (assume @p20 @t77) % 34.10/34.77 (assume @p21 @t80) % 34.10/34.77 (assume @p22 true) % 34.10/34.77 (step @p23 :rule bool-impl-elim :args (@t5 @t3)) % 34.10/34.77 (step @p24 :rule cong :premises (@p23) :args (@t7)) % 34.10/34.77 (step @p25 :rule refl :args (@t8)) % 34.10/34.77 (step @p26 :rule cong :premises (@p25 @p24) :args (@t9)) % 34.10/34.77 (step @p27 :rule cong :premises (@p26) :args (@t11)) % 34.10/34.77 (step @p28 :rule eq_resolve :premises (@p1 @p27)) % 34.10/34.77 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t89 @t81))) % 34.10/34.77 (step @p30 :rule bool-impl-elim :args (@t5 @t12)) % 34.10/34.77 (step @p31 :rule cong :premises (@p30) :args (@t22)) % 34.10/34.77 (step @p32 :rule refl :args (@t23)) % 34.10/34.77 (step @p33 :rule refl :args (@t24)) % 34.10/34.77 (step @p34 :rule nary_cong :premises (@p33 @p32 @p31) :args (@t25)) % 34.10/34.77 (step @p35 :rule refl :args (@t26)) % 34.10/34.77 (step @p36 :rule cong :premises (@p35 @p34) :args (@t27)) % 34.10/34.77 (step @p37 :rule cong :premises (@p36) :args (@t29)) % 34.10/34.77 (step @p38 :rule eq_resolve :premises (@p12 @p37)) % 34.10/34.77 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t81))) % 34.10/34.77 (step @p40 :rule bool-impl-elim :args (@t26 @t78)) % 34.10/34.77 (step @p41 :rule cong :premises (@p40) :args (@t79)) % 34.10/34.77 (step @p42 :rule cong :premises (@p41) :args (@t80)) % 34.10/34.77 (step @p43 :rule eq_resolve :premises (@p21 @p42)) % 34.10/34.77 (step @p44 :rule skolemize :premises (@p43)) % 34.10/34.77 (step @p45 :rule bool-double-not-elim :args (@t90)) % 34.10/34.77 (step @p46 :rule refl :args (@t93)) % 34.10/34.77 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t93 (not @t92)))) % 34.10/34.77 (step @p48 :rule cnf_or_neg :args (@t93 0)) % 34.10/34.77 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 34.10/34.77 (step @p50 :rule reordering :premises (@p49) :args ((or @t90 @t93))) % 34.10/34.77 (step @p51 :rule chain_m_resolution :premises (@p50 @p44) :args (@t90 @t94 @t95)) % 34.10/34.77 (step @p52 :rule cnf_equiv_pos1 :args (@t100)) % 34.10/34.77 (step @p53 :rule reordering :premises (@p52) :args ((or @t92 @t99 (not @t100)))) % 34.10/34.77 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p39) :args (@t99 @t101 (@list @t90 @t100))) % 34.10/34.77 (step @p55 :rule cnf_and_pos :args (@t99 2)) % 34.10/34.77 (step @p56 :rule reordering :premises (@p55) :args ((or @t96 @t102))) % 34.10/34.77 (step @p57 :rule chain_m_resolution :premises (@p56 @p54) :args (@t96 @t103 @t104)) % 34.10/34.77 (step @p58 :rule instantiate :premises (@p57) :args (@t105)) % 34.10/34.77 (step @p59 :rule instantiate :premises (@p28) :args ((@list @t85 @t81))) % 34.10/34.77 (step @p60 :rule instantiate :premises (@p57) :args (@t106)) % 34.10/34.77 (step @p61 :rule instantiate :premises (@p28) :args ((@list @t81 tptp.on))) % 34.10/34.77 (step @p62 :rule cnf_or_neg :args (@t93 1)) % 34.10/34.77 (step @p63 :rule chain_m_resolution :premises (@p62 @p44) :args ((not @t91) @t94 @t95)) % 34.10/34.77 (step @p64 :rule cnf_equiv_pos2 :args (@t107)) % 34.10/34.77 (step @p65 :rule reordering :premises (@p64) :args ((or @t91 @t108 (not @t107)))) % 34.10/34.77 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p61) :args (@t108 @t109 (@list @t91 @t107))) % 34.10/34.77 (step @p67 :rule skolemize :premises (@p66)) % 34.10/34.77 (step @p68 :rule bool-double-not-elim :args (@t110)) % 34.10/34.77 (step @p69 :rule refl :args (@t113)) % 34.10/34.77 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t113 (not @t112)))) % 34.10/34.77 (step @p71 :rule cnf_or_neg :args (@t113 0)) % 34.10/34.77 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 34.10/34.77 (step @p73 :rule reordering :premises (@p72) :args ((or @t110 @t113))) % 34.10/34.77 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t110 @t94 @t114)) % 34.10/34.77 (step @p75 :rule cnf_or_pos :args (@t116)) % 34.10/34.77 (step @p76 :rule reordering :premises (@p75) :args ((or @t112 @t115 (not @t116)))) % 34.10/34.77 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p60) :args (@t115 @t101 (@list @t110 @t116))) % 34.10/34.77 (step @p78 :rule cnf_equiv_pos1 :args (@t118)) % 34.10/34.77 (step @p79 :rule reordering :premises (@p78) :args ((or @t119 @t117 (not @t118)))) % 34.10/34.77 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p59) :args (@t117 @t101 (@list @t115 @t118))) % 34.10/34.77 (step @p81 :rule instantiate :premises (@p80) :args (@t105)) % 34.10/34.77 (step @p82 :rule quant-merge-prenex :args ((= (forall @t28 @t127) (forall @t125 @t124)))) % 34.10/34.77 (step @p83 :rule refl :args (@t120)) % 34.10/34.77 (step @p84 :rule alpha_equiv :args (@t128 (@list @t121) (@list @t2))) % 34.10/34.77 (step @p85 :rule refl :args (@t123)) % 34.10/34.77 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83) :args (@t129)) % 34.10/34.77 (step @p87 :rule quant-miniscope-or :args ((= @t127 @t129))) % 34.10/34.77 (step @p88 :rule trans :premises (@p87 @p86)) % 34.10/34.77 (step @p89 :rule symm :premises (@p88)) % 34.10/34.77 (step @p90 :rule cong :premises (@p89) :args ((forall @t28 @t131))) % 34.10/34.77 (step @p91 :rule trans :premises (@p90 @p82)) % 34.10/34.77 (step @p92 :rule aci_norm :args ((= (or (or @t123 @t130) @t120) @t131))) % 34.10/34.77 (step @p93 :rule bool-double-not-elim :args (@t130)) % 34.10/34.77 (step @p94 :rule nary_cong :premises (@p85 @p93) :args ((or @t123 (not @t132)))) % 34.10/34.77 (step @p95 :rule bool-and-de-morgan :args (@t34 @t132 true)) % 34.10/34.77 (step @p96 :rule trans :premises (@p95 @p94)) % 34.10/34.77 (step @p97 :rule nary_cong :premises (@p96 @p83) :args ((or (not @t133) @t120))) % 34.10/34.77 (step @p98 :rule trans :premises (@p97 @p92)) % 34.10/34.77 (step @p99 :rule bool-impl-elim :args (@t133 @t120)) % 34.10/34.77 (step @p100 :rule trans :premises (@p99 @p98)) % 34.10/34.77 (step @p101 :rule cong :premises (@p100) :args ((forall @t28 (=> @t133 @t120)))) % 34.10/34.77 (step @p102 :rule trans :premises (@p101 @p91)) % 34.10/34.77 (step @p103 :rule exists-elim :args ((= @t32 @t120))) % 34.10/34.77 (step @p104 :rule exists-elim :args ((= @t33 @t132))) % 34.10/34.77 (step @p105 :rule refl :args (@t34)) % 34.10/34.77 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t35)) % 34.10/34.77 (step @p107 :rule cong :premises (@p106 @p103) :args (@t36)) % 34.10/34.77 (step @p108 :rule cong :premises (@p107) :args (@t37)) % 34.10/34.77 (step @p109 :rule trans :premises (@p108 @p102)) % 34.10/34.77 (step @p110 :rule refl :args (@t38)) % 34.10/34.77 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t39)) % 34.10/34.77 (step @p112 :rule refl :args (@t40)) % 34.10/34.77 (step @p113 :rule cong :premises (@p112 @p111) :args (@t41)) % 34.10/34.77 (step @p114 :rule cong :premises (@p113) :args (@t43)) % 34.10/34.77 (step @p115 :rule eq_resolve :premises (@p13 @p114)) % 34.10/34.77 (step @p116 :rule instantiate :premises (@p115) :args (@t134)) % 34.10/34.77 (step @p117 :rule bool-double-not-elim :args (@t138)) % 34.10/34.77 (step @p118 :rule refl :args (@t145)) % 34.10/34.77 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t145 (not @t144)))) % 34.10/34.77 (step @p120 :rule cnf_or_neg :args (@t145 0)) % 34.10/34.77 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 34.10/34.77 (step @p122 :rule reordering :premises (@p121) :args ((or @t138 @t145))) % 34.10/34.77 (step @p123 :rule bool-double-not-elim :args (@t142)) % 34.10/34.77 (step @p124 :rule nary_cong :premises (@p118 @p123) :args ((or @t145 (not @t143)))) % 34.10/34.77 (step @p125 :rule cnf_or_neg :args (@t145 1)) % 34.10/34.77 (step @p126 :rule eq_resolve :premises (@p125 @p124)) % 34.10/34.77 (step @p127 :rule reordering :premises (@p126) :args ((or @t142 @t145))) % 34.10/34.77 (step @p128 :rule bool-double-not-elim :args (@t139)) % 34.10/34.77 (step @p129 :rule nary_cong :premises (@p118 @p128) :args ((or @t145 (not @t140)))) % 34.10/34.77 (step @p130 :rule cnf_or_neg :args (@t145 2)) % 34.10/34.77 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 34.10/34.77 (step @p132 :rule reordering :premises (@p131) :args ((or @t139 @t145))) % 34.10/34.77 (step @p133 :rule aci_norm :args ((= (or (or @t147 @t146) @t74) (or @t147 @t146 @t74)))) % 34.10/34.77 (step @p134 :rule refl :args (@t74)) % 34.10/34.77 (step @p135 :rule bool-and-de-morgan :args (@t8 @t75 true)) % 34.10/34.77 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or (not @t76) @t74))) % 34.10/34.77 (step @p137 :rule trans :premises (@p136 @p133)) % 34.10/34.77 (step @p138 :rule bool-impl-elim :args (@t76 @t74)) % 34.10/34.77 (step @p139 :rule trans :premises (@p138 @p137)) % 34.10/34.77 (step @p140 :rule cong :premises (@p139) :args (@t77)) % 34.10/34.77 (step @p141 :rule eq_resolve :premises (@p20 @p140)) % 34.10/34.77 (step @p142 :rule instantiate :premises (@p141) :args ((@list @t137 @t85 @t81))) % 34.10/34.77 (step @p143 :rule cnf_or_pos :args (@t149)) % 34.10/34.77 (step @p144 :rule reordering :premises (@p143) :args ((or @t119 @t144 @t148 (not @t149)))) % 34.10/34.77 (step @p145 :rule instantiate :premises (@p115) :args (@t150)) % 34.10/34.77 (step @p146 :rule cnf_and_pos :args (@t99 1)) % 34.10/34.77 (step @p147 :rule reordering :premises (@p146) :args ((or @t97 @t102))) % 34.10/34.77 (step @p148 :rule chain_m_resolution :premises (@p147 @p54) :args (@t97 @t103 @t104)) % 34.10/34.77 (step @p149 :rule cnf_equiv_pos1 :args (@t154)) % 34.10/34.77 (step @p150 :rule reordering :premises (@p149) :args ((or (not @t97) @t153 (not @t154)))) % 34.10/34.77 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p145) :args (@t153 @t101 (@list @t97 @t154))) % 34.10/34.77 (step @p152 :rule cnf_and_pos :args (@t153 1)) % 34.10/34.77 (step @p153 :rule reordering :premises (@p152) :args ((or @t151 @t155))) % 34.10/34.77 (step @p154 :rule chain_m_resolution :premises (@p153 @p151) :args (@t151 @t103 @t156)) % 34.10/34.77 (step @p155 :rule instantiate :premises (@p154) :args ((@list @t137 @t141))) % 34.10/34.77 (step @p156 :rule cnf_or_pos :args (@t158)) % 34.10/34.77 (step @p157 :rule reordering :premises (@p156) :args ((or @t143 @t140 @t157 (not @t158)))) % 34.10/34.77 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p144 @p142 @p77 @p132 @p127 @p122) :args (@t145 (@list false false false false false false false) (@list @t158 @t148 @t149 @t115 @t139 @t142 @t138))) % 34.10/34.77 (step @p159 :rule refl :args (@t159)) % 34.10/34.77 (step @p160 :rule bool-double-not-elim :args (@t136)) % 34.10/34.77 (step @p161 :rule nary_cong :premises (@p160 @p159) :args ((or (not @t160) @t159))) % 34.10/34.77 (assume-push @p432 @t160) % 34.10/34.77 (step @p163 :rule skolemize :premises (@p432)) % 34.10/34.77 (step-pop @p433 :rule scope :premises (@p163)) % 34.10/34.77 (step @p164 :rule process_scope :premises (@p433) :args (@t159)) % 34.10/34.77 (step @p166 :rule implies_elim :premises (@p164)) % 34.10/34.77 (step @p167 :rule eq_resolve :premises (@p166 @p161)) % 34.10/34.77 (step @p168 :rule chain_m_resolution :premises (@p167 @p158) :args (@t136 @t103 (@list @t145))) % 34.10/34.77 (step @p169 :rule aci_norm :args ((= (or @t167 @t166) (or @t165 @t164 @t163 @t162 @t161 @t50)))) % 34.10/34.77 (step @p170 :rule aci_norm :args ((= (or (or @t162 @t161) @t50) @t166))) % 34.10/34.77 (step @p171 :rule refl :args (@t50)) % 34.10/34.77 (step @p172 :rule bool-and-de-morgan :args (@t52 @t51 true)) % 34.10/34.77 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or (not @t53) @t50))) % 34.10/34.77 (step @p174 :rule trans :premises (@p173 @p170)) % 34.10/34.77 (step @p175 :rule bool-impl-elim :args (@t53 @t50)) % 34.10/34.77 (step @p176 :rule trans :premises (@p175 @p174)) % 34.10/34.77 (step @p177 :rule aci_norm :args ((= (or @t165 (or @t164 @t163)) @t167))) % 34.10/34.77 (step @p178 :rule bool-and-de-morgan :args (@t56 @t55 true)) % 34.10/34.77 (step @p179 :rule refl :args (@t165)) % 34.10/34.77 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t165 (not (and @t56 @t55))))) % 34.10/34.77 (step @p181 :rule bool-and-de-morgan :args (@t45 @t56 (and @t55))) % 34.10/34.77 (step @p182 :rule trans :premises (@p181 @p180)) % 34.10/34.77 (step @p183 :rule trans :premises (@p182 @p177)) % 34.10/34.77 (step @p184 :rule nary_cong :premises (@p183 @p176) :args ((or (not @t57) @t54))) % 34.10/34.77 (step @p185 :rule trans :premises (@p184 @p169)) % 34.10/34.77 (step @p186 :rule bool-impl-elim :args (@t57 @t54)) % 34.10/34.77 (step @p187 :rule 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(step @p373 :rule cnf_or_pos :args (@t265)) % 34.10/34.77 (step @p374 :rule reordering :premises (@p373) :args ((or @t264 @t263 (not @t265)))) % 34.10/34.77 (step @p375 :rule chain_m_resolution :premises (@p374 @p372 @p58) :args (@t263 @t101 (@list @t261 @t265))) % 34.10/34.77 (step @p376 :rule cnf_equiv_pos1 :args (@t268)) % 34.10/34.77 (step @p377 :rule reordering :premises (@p376) :args ((or (not @t263) @t267 (not @t268)))) % 34.10/34.77 (step @p378 :rule chain_m_resolution :premises (@p377 @p375 @p29) :args (@t267 @t101 (@list @t263 @t268))) % 34.10/34.77 (step @p379 :rule instantiate :premises (@p247) :args ((@list @t270 @t89 @t85))) % 34.10/34.77 (step @p380 :rule eq-symm :args (@t46 @t19)) % 34.10/34.77 (step @p381 :rule cong :premises (@p380) :args (@t48)) % 34.10/34.77 (step @p382 :rule eq_resolve :premises (@p15 @p381)) % 34.10/34.77 (step @p383 :rule instantiate :premises (@p382) :args ((@list @t270 @t89))) % 34.10/34.77 (step @p384 :rule instantiate :premises (@p28) :args (@t271)) % 34.10/34.77 (step @p385 :rule cnf_or_neg :args (@t258 1)) % 34.10/34.77 (step @p386 :rule chain_m_resolution :premises (@p385 @p362) :args ((not @t255) @t94 @t260)) % 34.10/34.77 (step @p387 :rule cnf_equiv_pos2 :args (@t272)) % 34.10/34.77 (step @p388 :rule reordering :premises (@p387) :args ((or @t255 @t273 (not @t272)))) % 34.10/34.77 (step @p389 :rule chain_m_resolution :premises (@p388 @p386 @p384) :args (@t273 @t109 (@list @t255 @t272))) % 34.10/34.77 (step @p390 :rule refl :args (@t278)) % 34.10/34.77 (step @p391 :rule bool-double-not-elim :args (@t269)) % 34.10/34.77 (step @p392 :rule nary_cong :premises (@p391 @p390) :args ((or (not @t273) @t278))) % 34.10/34.77 (assume-push @p440 @t273) % 34.10/34.77 (step @p394 :rule skolemize :premises (@p440)) % 34.10/34.77 (step-pop @p441 :rule scope :premises (@p394)) % 34.10/34.77 (step @p395 :rule process_scope :premises (@p441) :args (@t278)) % 34.10/34.77 (step @p397 :rule implies_elim :premises (@p395)) % 34.10/34.77 (step @p398 :rule eq_resolve :premises (@p397 @p392)) % 34.10/34.77 (step @p399 :rule chain_m_resolution :premises (@p398 @p389) :args (@t278 @t94 (@list @t269))) % 34.10/34.77 (step @p400 :rule bool-double-not-elim :args (@t275)) % 34.10/34.77 (step @p401 :rule refl :args (@t277)) % 34.10/34.77 (step @p402 :rule nary_cong :premises (@p401 @p400) :args ((or @t277 (not @t276)))) % 34.10/34.77 (step @p403 :rule cnf_or_neg :args (@t277 0)) % 34.10/34.77 (step @p404 :rule eq_resolve :premises (@p403 @p402)) % 34.10/34.77 (step @p405 :rule reordering :premises (@p404) :args ((or @t275 @t277))) % 34.10/34.77 (step @p406 :rule chain_m_resolution :premises (@p405 @p399) :args (@t275 @t94 @t279)) % 34.10/34.77 (step @p407 :rule cnf_equiv_pos1 :args (@t281)) % 34.10/34.77 (step @p408 :rule reordering :premises (@p407) :args ((or @t276 @t280 (not @t281)))) % 34.10/34.77 (step @p409 :rule chain_m_resolution :premises (@p408 @p406 @p383) :args (@t280 @t101 (@list @t275 @t281))) % 34.10/34.77 (step @p410 :rule instantiate :premises (@p382) :args ((@list @t270 @t85))) % 34.10/34.77 (step @p411 :rule cnf_or_neg :args (@t277 1)) % 34.10/34.77 (step @p412 :rule chain_m_resolution :premises (@p411 @p399) :args ((not @t274) @t94 @t279)) % 34.10/34.77 (step @p413 :rule cnf_equiv_pos2 :args (@t283)) % 34.10/34.77 (step @p414 :rule reordering :premises (@p413) :args ((or @t274 @t284 (not @t283)))) % 34.10/34.77 (step @p415 :rule chain_m_resolution :premises (@p414 @p412 @p410) :args (@t284 @t109 (@list @t274 @t283))) % 34.10/34.77 (step @p416 :rule instantiate :premises (@p382) :args (@t271)) % 34.10/34.77 (step @p417 :rule cnf_equiv_pos1 :args (@t286)) % 34.10/34.77 (step @p418 :rule reordering :premises (@p417) :args ((or @t257 @t285 (not @t286)))) % 34.10/34.77 (step @p419 :rule chain_m_resolution :premises (@p418 @p369 @p416) :args (@t285 @t101 (@list @t256 @t286))) % 34.10/34.77 (step @p420 :rule cnf_or_pos :args (@t291)) % 34.10/34.77 (step @p421 :rule reordering :premises (@p420) :args ((or @t112 @t287 @t264 @t282 @t288 @t290 (not @t291)))) % 34.10/34.77 (step @p422 :rule chain_m_resolution :premises (@p421 @p74 @p419 @p372 @p415 @p409 @p379) :args (@t290 (@list false false false true false false) (@list @t110 @t285 @t261 @t282 @t280 @t291))) % 34.10/34.77 (step @p423 :rule cnf_or_pos :args (@t292)) % 34.10/34.77 (step @p424 :rule reordering :premises (@p423) :args ((or @t276 @t289 @t293))) % 34.10/34.77 (step @p425 :rule chain_m_resolution :premises (@p424 @p406 @p422) :args (@t293 (@list false true) (@list @t275 @t289))) % 34.10/34.77 (assume-push @p442 @t267) % 34.10/34.77 (step @p427 :rule instantiate :premises (@p442) :args ((@list @t270))) % 34.10/34.77 (step-pop @p443 :rule scope :premises (@p427)) % 34.10/34.77 (step @p428 :rule process_scope :premises (@p443) :args (@t292)) % 34.10/34.77 (step @p430 :rule implies_elim :premises (@p428)) % 34.10/34.77 (step @p431 false :rule chain_m_resolution :premises (@p430 @p425 @p378) :args (false @t109 (@list @t292 @t267))) % 34.10/34.77 ) % 34.10/34.77 % SZS output end Proof % 34.10/34.77 % cvc5 exiting %------------------------------------------------------------------------------