%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET668+3 : 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 : n005.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 08:48:23 AM UTC 2026 % Result : Theorem 89.57s 89.78s % Output : Proof 78.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET668+3 : 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 % 0.16/0.33 % Computer : n005.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % 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 16:06:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.34/0.48 %----Proving TF0_NAR, FOF, or CNF % 89.57/89.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 89.57/89.78 --- Run --no-e-matching --full-saturate-quant at 6... % 89.57/89.78 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 89.57/89.78 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 89.57/89.78 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 89.57/89.78 --- Run --trigger-sel=max --full-saturate-quant at 15... % 89.57/89.78 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 89.57/89.78 % SZS status Theorem % 89.57/89.78 % SZS output start Proof % 89.57/89.78 ( % 89.57/89.78 (declare-sort $$unsorted 0) % 89.57/89.78 (declare-const tptp.empty (-> $$unsorted Bool)) % 89.57/89.78 (declare-const tptp.member_type (-> $$unsorted $$unsorted)) % 89.57/89.78 (declare-const tptp.relation_like (-> $$unsorted Bool)) % 89.57/89.78 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 89.57/89.78 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 89.57/89.78 (declare-const tptp.ilf_type (-> $$unsorted $$unsorted Bool)) % 89.57/89.78 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 89.57/89.78 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 89.57/89.78 (declare-const tptp.set_type $$unsorted) % 89.57/89.78 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 89.57/89.78 (declare-const tptp.binary_relation_type $$unsorted) % 89.57/89.78 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 89.57/89.78 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 89.57/89.78 (declare-const tptp.identity_relation_of (-> $$unsorted $$unsorted)) % 89.57/89.78 (declare-const tptp.relation_type (-> $$unsorted $$unsorted $$unsorted)) % 89.57/89.78 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 89.57/89.78 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 89.57/89.78 (declare-const tptp.subset_type (-> $$unsorted $$unsorted)) % 89.57/89.78 (define @t1 () (@var "C" $$unsorted)) % 89.57/89.78 (define @t2 () (@var "B" $$unsorted)) % 89.57/89.78 (define @t3 () (= @t2 @t1)) % 89.57/89.78 (define @t4 () (tptp.subset @t1 @t2)) % 89.57/89.78 (define @t5 () (tptp.subset @t2 @t1)) % 89.57/89.78 (define @t6 () (and @t5 @t4)) % 89.57/89.78 (define @t7 () (=> @t6 @t3)) % 89.57/89.78 (define @t8 () (tptp.ilf_type @t1 tptp.set_type)) % 89.57/89.78 (define @t9 () (@list @t1)) % 89.57/89.78 (define @t10 () (forall @t9 (=> @t8 @t7))) % 89.57/89.78 (define @t11 () (tptp.ilf_type @t2 tptp.set_type)) % 89.57/89.78 (define @t12 () (=> @t11 @t10)) % 89.57/89.78 (define @t13 () (@list @t2)) % 89.57/89.78 (define @t14 () (forall @t13 @t12)) % 89.57/89.78 (define @t15 () (@var "E" $$unsorted)) % 89.57/89.78 (define @t16 () (@var "D" $$unsorted)) % 89.57/89.78 (define @t17 () (and (tptp.subset @t16 (tptp.domain @t2 @t1 @t15)) (tptp.subset @t16 (tptp.range @t2 @t1 @t15)))) % 89.57/89.78 (define @t18 () (tptp.identity_relation_of @t16)) % 89.57/89.78 (define @t19 () (tptp.subset @t18 @t15)) % 89.57/89.78 (define @t20 () (=> @t19 @t17)) % 89.57/89.78 (define @t21 () (tptp.relation_type @t2 @t1)) % 89.57/89.78 (define @t22 () (tptp.ilf_type @t15 @t21)) % 89.57/89.78 (define @t23 () (@list @t15)) % 89.57/89.78 (define @t24 () (forall @t23 (=> @t22 @t20))) % 89.57/89.78 (define @t25 () (tptp.ilf_type @t16 tptp.set_type)) % 89.57/89.78 (define @t26 () (=> @t25 @t24)) % 89.57/89.78 (define @t27 () (@list @t16)) % 89.57/89.78 (define @t28 () (forall @t27 @t26)) % 89.57/89.78 (define @t29 () (=> @t8 @t28)) % 89.57/89.78 (define @t30 () (forall @t9 @t29)) % 89.57/89.78 (define @t31 () (=> @t11 @t30)) % 89.57/89.78 (define @t32 () (forall @t13 @t31)) % 89.57/89.78 (define @t33 () (tptp.member @t1 @t2)) % 89.57/89.78 (define @t34 () (tptp.identity_relation_of @t2)) % 89.57/89.78 (define @t35 () (tptp.cross_product @t2 @t1)) % 89.57/89.78 (define @t36 () (tptp.subset_type @t35)) % 89.57/89.78 (define @t37 () (tptp.ilf_type @t16 @t21)) % 89.57/89.78 (define @t38 () (tptp.ilf_type @t16 @t36)) % 89.57/89.78 (define @t39 () (tptp.relation_type @t1 @t2)) % 89.57/89.78 (define @t40 () (tptp.ilf_type @t16 @t39)) % 89.57/89.78 (define @t41 () (tptp.member @t16 @t1)) % 89.57/89.78 (define @t42 () (tptp.member @t16 @t2)) % 89.57/89.78 (define @t43 () (=> @t42 @t41)) % 89.57/89.78 (define @t44 () (forall @t27 (=> @t25 @t43))) % 89.57/89.78 (define @t45 () (= @t5 @t44)) % 89.57/89.78 (define @t46 () (=> @t8 @t45)) % 89.57/89.78 (define @t47 () (forall @t9 @t46)) % 89.57/89.78 (define @t48 () (=> @t11 @t47)) % 89.57/89.78 (define @t49 () (forall @t13 @t48)) % 89.57/89.78 (define @t50 () (tptp.ordered_pair @t16 @t15)) % 89.57/89.78 (define @t51 () (tptp.ilf_type @t15 tptp.set_type)) % 89.57/89.78 (define @t52 () (tptp.ilf_type @t2 tptp.binary_relation_type)) % 89.57/89.78 (define @t53 () (tptp.relation_like @t2)) % 89.57/89.78 (define @t54 () (tptp.power_set @t2)) % 89.57/89.78 (define @t55 () (tptp.member_type @t54)) % 89.57/89.78 (define @t56 () (tptp.subset_type @t2)) % 89.57/89.78 (define @t57 () (tptp.ilf_type @t1 @t56)) % 89.57/89.78 (define @t58 () (= @t57 (tptp.ilf_type @t1 @t55))) % 89.57/89.78 (define @t59 () (forall @t9 (=> @t8 @t58))) % 89.57/89.78 (define @t60 () (=> @t11 @t59)) % 89.57/89.78 (define @t61 () (forall @t13 @t60)) % 89.57/89.78 (define @t62 () (tptp.subset @t2 @t2)) % 89.57/89.78 (define @t63 () (tptp.member @t2 (tptp.power_set @t1))) % 89.57/89.78 (define @t64 () (=> @t8 (= @t63 @t44))) % 89.57/89.78 (define @t65 () (forall @t9 @t64)) % 89.57/89.78 (define @t66 () (=> @t11 @t65)) % 89.57/89.78 (define @t67 () (forall @t13 @t66)) % 89.57/89.78 (define @t68 () (and (not (tptp.empty @t54)) (tptp.ilf_type @t54 tptp.set_type))) % 89.57/89.78 (define @t69 () (forall @t13 (=> @t11 @t68))) % 89.57/89.78 (define @t70 () (= (tptp.ilf_type @t2 (tptp.member_type @t1)) (tptp.member @t2 @t1))) % 89.57/89.78 (define @t71 () (tptp.empty @t1)) % 89.57/89.78 (define @t72 () (not @t71)) % 89.57/89.78 (define @t73 () (and @t72 @t8)) % 89.57/89.78 (define @t74 () (forall @t9 (=> @t73 @t70))) % 89.57/89.78 (define @t75 () (=> @t11 @t74)) % 89.57/89.78 (define @t76 () (forall @t13 @t75)) % 89.57/89.78 (define @t77 () (tptp.empty @t2)) % 89.57/89.78 (define @t78 () (tptp.domain @t2 @t1 @t16)) % 89.57/89.78 (define @t79 () (tptp.ilf_type @t78 @t56)) % 89.57/89.78 (define @t80 () (forall @t27 (=> @t37 @t79))) % 89.57/89.78 (define @t81 () (=> @t8 @t80)) % 89.57/89.78 (define @t82 () (forall @t9 @t81)) % 89.57/89.78 (define @t83 () (=> @t11 @t82)) % 89.57/89.78 (define @t84 () (forall @t13 @t83)) % 89.57/89.78 (define @t85 () (tptp.range @t2 @t1 @t16)) % 89.57/89.78 (define @t86 () (and (= @t1 (tptp.domain @t1 @t2 @t16)) (tptp.subset @t1 (tptp.range @t1 @t2 @t16)))) % 89.57/89.78 (define @t87 () (tptp.identity_relation_of @t1)) % 89.57/89.78 (define @t88 () (tptp.subset @t87 @t16)) % 89.57/89.78 (define @t89 () (=> @t88 @t86)) % 89.57/89.78 (define @t90 () (forall @t27 (=> @t40 @t89))) % 89.57/89.78 (define @t91 () (=> @t8 @t90)) % 89.57/89.78 (define @t92 () (forall @t9 @t91)) % 89.57/89.78 (define @t93 () (=> @t11 @t92)) % 89.57/89.78 (define @t94 () (forall @t13 @t93)) % 89.57/89.78 (define @t95 () (not @t94)) % 89.57/89.78 (define @t96 () (@var "BOUND_VARIABLE_8161" $$unsorted)) % 89.57/89.78 (define @t97 () (= (tptp.ilf_type @t2 (tptp.member_type @t96)) (tptp.member @t2 @t96))) % 89.57/89.78 (define @t98 () (not (tptp.ilf_type @t96 tptp.set_type))) % 89.57/89.78 (define @t99 () (tptp.empty @t96)) % 89.57/89.78 (define @t100 () (not @t11)) % 89.57/89.78 (define @t101 () (or @t99 @t98 @t97)) % 89.57/89.78 (define @t102 () (or @t100 @t101)) % 89.57/89.78 (define @t103 () (forall (@list @t2 @t96) @t102)) % 89.57/89.78 (define @t104 () (@list @t96)) % 89.57/89.78 (define @t105 () (forall @t104 @t102)) % 89.57/89.78 (define @t106 () (forall @t104 @t101)) % 89.57/89.78 (define @t107 () (@list @t1)) % 89.57/89.78 (define @t108 () (or @t100 @t106)) % 89.57/89.78 (define @t109 () (not @t8)) % 89.57/89.78 (define @t110 () (or @t71 @t109 @t70)) % 89.57/89.78 (define @t111 () (forall @t9 @t110)) % 89.57/89.78 (define @t112 () (@var "BOUND_VARIABLE_8476" $$unsorted)) % 89.57/89.78 (define @t113 () (@var "BOUND_VARIABLE_8474" $$unsorted)) % 89.57/89.78 (define @t114 () (and (= @t113 (tptp.domain @t113 @t2 @t112)) (tptp.subset @t113 (tptp.range @t113 @t2 @t112)))) % 89.57/89.78 (define @t115 () (not (tptp.subset (tptp.identity_relation_of @t113) @t112))) % 89.57/89.78 (define @t116 () (not (tptp.ilf_type @t112 (tptp.relation_type @t113 @t2)))) % 89.57/89.78 (define @t117 () (not (tptp.ilf_type @t113 tptp.set_type))) % 89.57/89.78 (define @t118 () (or @t100 @t117 @t116 @t115 @t114)) % 89.57/89.78 (define @t119 () (@list @t2 @t113 @t112)) % 89.57/89.78 (define @t120 () (forall @t119 @t118)) % 89.57/89.78 (define @t121 () (@quantifiers_skolemize @t120 1)) % 89.57/89.78 (define @t122 () (tptp.power_set @t121)) % 89.57/89.78 (define @t123 () (@quantifiers_skolemize @t120 2)) % 89.57/89.78 (define @t124 () (@quantifiers_skolemize @t120 0)) % 89.57/89.78 (define @t125 () (tptp.domain @t121 @t124 @t123)) % 89.57/89.78 (define @t126 () (or @t117 @t116 @t115 @t114)) % 89.57/89.78 (define @t127 () (or @t100 @t126)) % 89.57/89.78 (define @t128 () (forall @t119 @t127)) % 89.57/89.78 (define @t129 () (@list @t113 @t112)) % 89.57/89.78 (define @t130 () (forall @t129 @t127)) % 89.57/89.78 (define @t131 () (forall @t129 @t126)) % 89.57/89.78 (define @t132 () (@var "BOUND_VARIABLE_8453" $$unsorted)) % 89.57/89.78 (define @t133 () (or @t100 @t131)) % 89.57/89.78 (define @t134 () (and (= @t1 (tptp.domain @t1 @t2 @t132)) (tptp.subset @t1 (tptp.range @t1 @t2 @t132)))) % 89.57/89.78 (define @t135 () (not (tptp.subset @t87 @t132))) % 89.57/89.78 (define @t136 () (not (tptp.ilf_type @t132 @t39))) % 89.57/89.78 (define @t137 () (or @t109 @t136 @t135 @t134)) % 89.57/89.78 (define @t138 () (@list @t1 @t132)) % 89.57/89.78 (define @t139 () (forall @t138 @t137)) % 89.57/89.78 (define @t140 () (or @t136 @t135 @t134)) % 89.57/89.78 (define @t141 () (or @t109 @t140)) % 89.57/89.78 (define @t142 () (forall @t138 @t141)) % 89.57/89.78 (define @t143 () (@list @t132)) % 89.57/89.78 (define @t144 () (forall @t143 @t141)) % 89.57/89.78 (define @t145 () (forall @t143 @t140)) % 89.57/89.78 (define @t146 () (@list @t16)) % 89.57/89.78 (define @t147 () (or @t109 @t145)) % 89.57/89.78 (define @t148 () (not @t88)) % 89.57/89.78 (define @t149 () (not @t40)) % 89.57/89.78 (define @t150 () (or @t149 @t148 @t86)) % 89.57/89.78 (define @t151 () (forall @t27 @t150)) % 89.57/89.78 (define @t152 () (tptp.ilf_type @t121 tptp.set_type)) % 89.57/89.78 (define @t153 () (tptp.subset @t121 (tptp.range @t121 @t124 @t123))) % 89.57/89.78 (define @t154 () (= @t121 @t125)) % 89.57/89.78 (define @t155 () (and @t154 @t153)) % 89.57/89.78 (define @t156 () (tptp.subset (tptp.identity_relation_of @t121) @t123)) % 89.57/89.78 (define @t157 () (not @t156)) % 89.57/89.78 (define @t158 () (tptp.ilf_type @t123 (tptp.relation_type @t121 @t124))) % 89.57/89.78 (define @t159 () (not @t158)) % 89.57/89.78 (define @t160 () (not @t152)) % 89.57/89.78 (define @t161 () (tptp.ilf_type @t124 tptp.set_type)) % 89.57/89.78 (define @t162 () (not @t161)) % 89.57/89.78 (define @t163 () (or @t162 @t160 @t159 @t157 @t155)) % 89.57/89.78 (define @t164 () (@list true)) % 89.57/89.78 (define @t165 () (@list @t163)) % 89.57/89.78 (define @t166 () (tptp.ilf_type @t122 tptp.set_type)) % 89.57/89.78 (define @t167 () (tptp.empty @t122)) % 89.57/89.78 (define @t168 () (not @t167)) % 89.57/89.78 (define @t169 () (and @t168 @t166)) % 89.57/89.78 (define @t170 () (or @t160 @t169)) % 89.57/89.78 (define @t171 () (@list false false)) % 89.57/89.78 (define @t172 () (not @t169)) % 89.57/89.78 (define @t173 () (@list false)) % 89.57/89.78 (define @t174 () (@list @t169)) % 89.57/89.78 (define @t175 () (tptp.member @t125 @t122)) % 89.57/89.78 (define @t176 () (tptp.ilf_type @t125 (tptp.member_type @t122))) % 89.57/89.78 (define @t177 () (= @t176 @t175)) % 89.57/89.78 (define @t178 () (not @t166)) % 89.57/89.78 (define @t179 () (tptp.ilf_type @t125 tptp.set_type)) % 89.57/89.78 (define @t180 () (not @t179)) % 89.57/89.78 (define @t181 () (or @t180 @t167 @t178 @t177)) % 89.57/89.78 (define @t182 () (@var "BOUND_VARIABLE_8094" $$unsorted)) % 89.57/89.78 (define @t183 () (= (tptp.ilf_type @t182 @t56) (tptp.ilf_type @t182 @t55))) % 89.57/89.78 (define @t184 () (not (tptp.ilf_type @t182 tptp.set_type))) % 89.57/89.78 (define @t185 () (or @t184 @t183)) % 89.57/89.78 (define @t186 () (or @t100 @t185)) % 89.57/89.78 (define @t187 () (forall (@list @t2 @t182) @t186)) % 89.57/89.78 (define @t188 () (@list @t182)) % 89.57/89.78 (define @t189 () (forall @t188 @t186)) % 89.57/89.78 (define @t190 () (forall @t188 @t185)) % 89.57/89.78 (define @t191 () (or @t100 @t190)) % 89.57/89.78 (define @t192 () (forall @t9 (or @t109 @t58))) % 89.57/89.78 (define @t193 () (@list @t121 @t125)) % 89.57/89.78 (define @t194 () (tptp.ilf_type @t125 (tptp.subset_type @t121))) % 89.57/89.78 (define @t195 () (= @t194 @t176)) % 89.57/89.78 (define @t196 () (or @t160 @t180 @t195)) % 89.57/89.78 (define @t197 () (@list false false false)) % 89.57/89.78 (define @t198 () (@var "BOUND_VARIABLE_8346" $$unsorted)) % 89.57/89.78 (define @t199 () (@var "BOUND_VARIABLE_8344" $$unsorted)) % 89.57/89.78 (define @t200 () (tptp.ilf_type (tptp.domain @t2 @t199 @t198) @t56)) % 89.57/89.78 (define @t201 () (not (tptp.ilf_type @t198 (tptp.relation_type @t2 @t199)))) % 89.57/89.78 (define @t202 () (not (tptp.ilf_type @t199 tptp.set_type))) % 89.57/89.78 (define @t203 () (or @t202 @t201 @t200)) % 89.57/89.78 (define @t204 () (or @t100 @t203)) % 89.57/89.78 (define @t205 () (forall (@list @t2 @t199 @t198) @t204)) % 89.57/89.78 (define @t206 () (@list @t199 @t198)) % 89.57/89.78 (define @t207 () (forall @t206 @t204)) % 89.57/89.78 (define @t208 () (forall @t206 @t203)) % 89.57/89.78 (define @t209 () (@var "BOUND_VARIABLE_8328" $$unsorted)) % 89.57/89.78 (define @t210 () (or @t100 @t208)) % 89.57/89.78 (define @t211 () (tptp.ilf_type (tptp.domain @t2 @t1 @t209) @t56)) % 89.57/89.78 (define @t212 () (not (tptp.ilf_type @t209 @t21))) % 89.57/89.78 (define @t213 () (or @t109 @t212 @t211)) % 89.57/89.78 (define @t214 () (@list @t1 @t209)) % 89.57/89.78 (define @t215 () (forall @t214 @t213)) % 89.57/89.78 (define @t216 () (or @t212 @t211)) % 89.57/89.78 (define @t217 () (or @t109 @t216)) % 89.57/89.78 (define @t218 () (forall @t214 @t217)) % 89.57/89.78 (define @t219 () (@list @t209)) % 89.57/89.78 (define @t220 () (forall @t219 @t217)) % 89.57/89.78 (define @t221 () (forall @t219 @t216)) % 89.57/89.78 (define @t222 () (or @t109 @t221)) % 89.57/89.78 (define @t223 () (forall @t27 (or (not @t37) @t79))) % 89.57/89.78 (define @t224 () (or @t160 @t162 @t159 @t194)) % 89.57/89.78 (define @t225 () (@var "BOUND_VARIABLE_8133" $$unsorted)) % 89.57/89.78 (define @t226 () (not @t42)) % 89.57/89.78 (define @t227 () (not @t25)) % 89.57/89.78 (define @t228 () (= (tptp.member @t2 (tptp.power_set @t225)) (forall @t27 (or @t227 @t226 (tptp.member @t16 @t225))))) % 89.57/89.78 (define @t229 () (not (tptp.ilf_type @t225 tptp.set_type))) % 89.57/89.78 (define @t230 () (or @t229 @t228)) % 89.57/89.78 (define @t231 () (or @t100 @t230)) % 89.57/89.78 (define @t232 () (forall (@list @t2 @t225) @t231)) % 89.57/89.78 (define @t233 () (@list @t225)) % 89.57/89.78 (define @t234 () (forall @t233 @t231)) % 89.57/89.78 (define @t235 () (forall @t233 @t230)) % 89.57/89.78 (define @t236 () (or @t100 @t235)) % 89.57/89.78 (define @t237 () (or @t227 @t226 @t41)) % 89.57/89.78 (define @t238 () (forall @t27 @t237)) % 89.57/89.78 (define @t239 () (= @t63 @t238)) % 89.57/89.78 (define @t240 () (forall @t9 (or @t109 @t239))) % 89.57/89.78 (define @t241 () (@list @t125 @t121)) % 89.57/89.78 (define @t242 () (forall @t27 (or @t227 (not (tptp.member @t16 @t125)) (tptp.member @t16 @t121)))) % 89.57/89.78 (define @t243 () (= @t175 @t242)) % 89.57/89.78 (define @t244 () (or @t180 @t160 @t243)) % 89.57/89.78 (define @t245 () (@var "BOUND_VARIABLE_7947" $$unsorted)) % 89.57/89.78 (define @t246 () (= (tptp.subset @t2 @t245) (forall @t27 (or @t227 @t226 (tptp.member @t16 @t245))))) % 89.57/89.78 (define @t247 () (not (tptp.ilf_type @t245 tptp.set_type))) % 89.57/89.78 (define @t248 () (or @t247 @t246)) % 89.57/89.78 (define @t249 () (or @t100 @t248)) % 89.57/89.78 (define @t250 () (forall (@list @t2 @t245) @t249)) % 89.57/89.78 (define @t251 () (@list @t245)) % 89.57/89.78 (define @t252 () (forall @t251 @t249)) % 89.57/89.78 (define @t253 () (forall @t251 @t248)) % 89.57/89.78 (define @t254 () (or @t100 @t253)) % 89.57/89.78 (define @t255 () (= @t5 @t238)) % 89.57/89.78 (define @t256 () (forall @t9 (or @t109 @t255))) % 89.57/89.78 (define @t257 () (tptp.subset @t125 @t121)) % 89.57/89.78 (define @t258 () (= @t257 @t242)) % 89.57/89.78 (define @t259 () (or @t180 @t160 @t258)) % 89.57/89.78 (define @t260 () (@var "BOUND_VARIABLE_7700" $$unsorted)) % 89.57/89.78 (define @t261 () (= @t2 @t260)) % 89.57/89.78 (define @t262 () (not (tptp.subset @t260 @t2))) % 89.57/89.78 (define @t263 () (not (tptp.subset @t2 @t260))) % 89.57/89.78 (define @t264 () (not (tptp.ilf_type @t260 tptp.set_type))) % 89.57/89.78 (define @t265 () (or @t264 @t263 @t262 @t261)) % 89.57/89.78 (define @t266 () (or @t100 @t265)) % 89.57/89.78 (define @t267 () (forall (@list @t2 @t260) @t266)) % 89.57/89.78 (define @t268 () (@list @t260)) % 89.57/89.78 (define @t269 () (forall @t268 @t266)) % 89.57/89.78 (define @t270 () (forall @t268 @t265)) % 89.57/89.78 (define @t271 () (or @t100 @t270)) % 89.57/89.78 (define @t272 () (not @t4)) % 89.57/89.78 (define @t273 () (not @t5)) % 89.57/89.78 (define @t274 () (or @t109 @t273 @t272 @t3)) % 89.57/89.78 (define @t275 () (forall @t9 @t274)) % 89.57/89.78 (define @t276 () (or @t273 @t272 @t3)) % 89.57/89.78 (define @t277 () (@var "BOUND_VARIABLE_7777" $$unsorted)) % 89.57/89.78 (define @t278 () (@var "BOUND_VARIABLE_7773" $$unsorted)) % 89.57/89.78 (define @t279 () (@var "BOUND_VARIABLE_7775" $$unsorted)) % 89.57/89.78 (define @t280 () (and (tptp.subset @t279 (tptp.domain @t2 @t278 @t277)) (tptp.subset @t279 (tptp.range @t2 @t278 @t277)))) % 89.57/89.78 (define @t281 () (not (tptp.subset (tptp.identity_relation_of @t279) @t277))) % 89.57/89.78 (define @t282 () (not (tptp.ilf_type @t277 (tptp.relation_type @t2 @t278)))) % 89.57/89.78 (define @t283 () (not (tptp.ilf_type @t279 tptp.set_type))) % 89.57/89.78 (define @t284 () (not (tptp.ilf_type @t278 tptp.set_type))) % 89.57/89.78 (define @t285 () (or @t284 @t283 @t282 @t281 @t280)) % 89.57/89.78 (define @t286 () (or @t100 @t285)) % 89.57/89.78 (define @t287 () (forall (@list @t2 @t278 @t279 @t277) @t286)) % 89.57/89.78 (define @t288 () (@list @t278 @t279 @t277)) % 89.57/89.78 (define @t289 () (forall @t288 @t286)) % 89.57/89.78 (define @t290 () (forall @t288 @t285)) % 89.57/89.78 (define @t291 () (@var "BOUND_VARIABLE_7749" $$unsorted)) % 89.57/89.78 (define @t292 () (@var "BOUND_VARIABLE_7747" $$unsorted)) % 89.57/89.78 (define @t293 () (or @t100 @t290)) % 89.57/89.78 (define @t294 () (and (tptp.subset @t292 (tptp.domain @t2 @t1 @t291)) (tptp.subset @t292 (tptp.range @t2 @t1 @t291)))) % 89.57/89.78 (define @t295 () (not (tptp.subset (tptp.identity_relation_of @t292) @t291))) % 89.57/89.78 (define @t296 () (not (tptp.ilf_type @t291 @t21))) % 89.57/89.78 (define @t297 () (not (tptp.ilf_type @t292 tptp.set_type))) % 89.57/89.78 (define @t298 () (or @t109 @t297 @t296 @t295 @t294)) % 89.57/89.78 (define @t299 () (@list @t1 @t292 @t291)) % 89.57/89.78 (define @t300 () (forall @t299 @t298)) % 89.57/89.78 (define @t301 () (or @t297 @t296 @t295 @t294)) % 89.57/89.78 (define @t302 () (or @t109 @t301)) % 89.57/89.78 (define @t303 () (forall @t299 @t302)) % 89.57/89.78 (define @t304 () (@list @t292 @t291)) % 89.57/89.78 (define @t305 () (forall @t304 @t302)) % 89.57/89.78 (define @t306 () (forall @t304 @t301)) % 89.57/89.78 (define @t307 () (@var "BOUND_VARIABLE_7726" $$unsorted)) % 89.57/89.78 (define @t308 () (or @t109 @t306)) % 89.57/89.78 (define @t309 () (and (tptp.subset @t16 (tptp.domain @t2 @t1 @t307)) (tptp.subset @t16 (tptp.range @t2 @t1 @t307)))) % 89.57/89.78 (define @t310 () (not (tptp.subset @t18 @t307))) % 89.57/89.78 (define @t311 () (not (tptp.ilf_type @t307 @t21))) % 89.57/89.78 (define @t312 () (or @t227 @t311 @t310 @t309)) % 89.57/89.78 (define @t313 () (@list @t16 @t307)) % 89.57/89.78 (define @t314 () (forall @t313 @t312)) % 89.57/89.78 (define @t315 () (or @t311 @t310 @t309)) % 89.57/89.78 (define @t316 () (or @t227 @t315)) % 89.57/89.78 (define @t317 () (forall @t313 @t316)) % 89.57/89.78 (define @t318 () (@list @t307)) % 89.57/89.78 (define @t319 () (forall @t318 @t316)) % 89.57/89.78 (define @t320 () (forall @t318 @t315)) % 89.57/89.78 (define @t321 () (or @t227 @t320)) % 89.57/89.78 (define @t322 () (not @t19)) % 89.57/89.78 (define @t323 () (not @t22)) % 89.57/89.78 (define @t324 () (or @t323 @t322 @t17)) % 89.57/89.78 (define @t325 () (forall @t23 @t324)) % 89.57/89.78 (define @t326 () (tptp.subset @t121 @t125)) % 89.57/89.78 (define @t327 () (and @t326 @t153)) % 89.57/89.78 (define @t328 () (or @t160 @t162 @t160 @t159 @t157 @t327)) % 89.57/89.78 (define @t329 () (not @t327)) % 89.57/89.78 (define @t330 () (@list @t327)) % 89.57/89.78 (define @t331 () (@list true false)) % 89.57/89.78 (define @t332 () (not @t257)) % 89.57/89.78 (define @t333 () (not @t326)) % 89.57/89.78 (define @t334 () (or @t160 @t180 @t333 @t332 @t154)) % 89.57/89.78 (define @t335 () (not @t242)) % 89.57/89.78 (assume @p1 @t14) % 89.57/89.78 (assume @p2 @t32) % 89.57/89.78 (assume @p3 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (forall @t27 (=> @t25 (= (tptp.member (tptp.ordered_pair @t1 @t16) @t34) (and @t33 (= @t1 @t16)))))))))) % 89.57/89.78 (assume @p4 (forall @t13 (=> @t11 (tptp.ilf_type @t34 tptp.binary_relation_type)))) % 89.57/89.78 (assume @p5 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (and (forall @t27 (=> @t38 @t37)) (forall @t23 (=> @t22 (tptp.ilf_type @t15 @t36))))))))) % 89.57/89.78 (assume @p6 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (exists @t27 @t40)))))) % 89.57/89.78 (assume @p7 @t49) % 89.57/89.78 (assume @p8 (forall @t13 (=> @t52 (forall @t9 (=> (tptp.ilf_type @t1 tptp.binary_relation_type) (= @t5 (forall @t27 (=> @t25 (forall @t23 (=> @t51 (=> (tptp.member @t50 @t2) (tptp.member @t50 @t1)))))))))))) % 89.57/89.78 (assume @p9 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (= @t3 @t6)))))) % 89.57/89.78 (assume @p10 (forall @t13 (=> @t52 (tptp.ilf_type (tptp.domain_of @t2) tptp.set_type)))) % 89.57/89.78 (assume @p11 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (tptp.ilf_type @t35 tptp.set_type)))))) % 89.57/89.78 (assume @p12 (forall @t13 (=> @t52 (tptp.ilf_type (tptp.range_of @t2) tptp.set_type)))) % 89.57/89.78 (assume @p13 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (tptp.ilf_type (tptp.ordered_pair @t2 @t1) tptp.set_type)))))) % 89.57/89.78 (assume @p14 (forall @t13 (=> @t11 (= @t52 (and @t53 @t11))))) % 89.57/89.78 (assume @p15 (exists @t13 @t52)) % 89.57/89.78 (assume @p16 @t61) % 89.57/89.78 (assume @p17 (forall @t13 (=> @t11 (exists @t9 @t57)))) % 89.57/89.78 (assume @p18 (forall @t13 (=> @t11 @t62))) % 89.57/89.78 (assume @p19 (forall @t13 (=> @t52 @t62))) % 89.57/89.78 (assume @p20 @t67) % 89.57/89.78 (assume @p21 @t69) % 89.57/89.78 (assume @p22 @t76) % 89.57/89.78 (assume @p23 (forall @t13 (=> (and (not @t77) @t11) (exists @t9 (tptp.ilf_type @t1 (tptp.member_type @t2)))))) % 89.57/89.78 (assume @p24 (forall @t13 (=> @t11 (= @t53 (forall @t9 (=> @t8 (=> @t33 (exists @t27 (and @t25 (exists @t23 (and @t51 (= @t1 @t50)))))))))))) % 89.57/89.78 (assume @p25 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (forall @t27 (=> @t38 (tptp.relation_like @t16)))))))) % 89.57/89.78 (assume @p26 (forall @t13 (=> @t11 (= @t77 (forall @t9 (=> @t8 (not @t33))))))) % 89.57/89.78 (assume @p27 (forall @t13 (=> (and @t77 @t11) @t53))) % 89.57/89.78 (assume @p28 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (forall @t27 (=> @t37 (= @t78 (tptp.domain_of @t16))))))))) % 89.57/89.78 (assume @p29 @t84) % 89.57/89.78 (assume @p30 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (forall @t27 (=> @t37 (= @t85 (tptp.range_of @t16))))))))) % 89.57/89.78 (assume @p31 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (forall @t27 (=> @t37 (tptp.ilf_type @t85 (tptp.subset_type @t1))))))))) % 89.57/89.78 (assume @p32 (forall @t13 @t11)) % 89.57/89.78 (assume @p33 @t95) % 89.57/89.78 (assume @p34 true) % 89.57/89.78 (step @p35 :rule aci_norm :args ((= @t102 (or @t100 @t99 @t98 @t97)))) % 89.57/89.78 (step @p36 :rule cong :premises (@p35) :args (@t103)) % 89.57/89.78 (step @p37 :rule quant-merge-prenex :args ((= (forall @t13 @t105) @t103))) % 89.57/89.78 (step @p38 :rule alpha_equiv :args (@t106 (@list @t96) @t107)) % 89.57/89.78 (step @p39 :rule refl :args (@t100)) % 89.57/89.78 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t108)) % 89.57/89.78 (step @p41 :rule quant-miniscope-or :args ((= @t105 @t108))) % 89.57/89.78 (step @p42 :rule trans :premises (@p41 @p40)) % 89.57/89.78 (step @p43 :rule symm :premises (@p42)) % 89.57/89.78 (step @p44 :rule cong :premises (@p43) :args ((forall @t13 (or @t100 @t111)))) % 89.57/89.78 (step @p45 :rule trans :premises (@p44 @p37)) % 89.57/89.78 (step @p46 :rule trans :premises (@p45 @p36)) % 89.57/89.78 (step @p47 :rule bool-impl-elim :args (@t11 @t111)) % 89.57/89.78 (step @p48 :rule cong :premises (@p47) :args ((forall @t13 (=> @t11 @t111)))) % 89.57/89.78 (step @p49 :rule trans :premises (@p48 @p46)) % 89.57/89.78 (step @p50 :rule aci_norm :args ((= (or (or @t71 @t109) @t70) @t110))) % 89.57/89.78 (step @p51 :rule refl :args (@t70)) % 89.57/89.78 (step @p52 :rule refl :args (@t109)) % 89.57/89.78 (step @p53 :rule bool-double-not-elim :args (@t71)) % 89.57/89.78 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t72) @t109))) % 89.57/89.78 (step @p55 :rule bool-and-de-morgan :args (@t72 @t8 true)) % 89.57/89.78 (step @p56 :rule trans :premises (@p55 @p54)) % 89.57/89.78 (step @p57 :rule nary_cong :premises (@p56 @p51) :args ((or (not @t73) @t70))) % 89.57/89.78 (step @p58 :rule trans :premises (@p57 @p50)) % 89.57/89.78 (step @p59 :rule bool-impl-elim :args (@t73 @t70)) % 89.57/89.78 (step @p60 :rule trans :premises (@p59 @p58)) % 89.57/89.78 (step @p61 :rule cong :premises (@p60) :args (@t74)) % 89.57/89.78 (step @p62 :rule refl :args (@t11)) % 89.57/89.78 (step @p63 :rule cong :premises (@p62 @p61) :args (@t75)) % 89.57/89.78 (step @p64 :rule cong :premises (@p63) :args (@t76)) % 89.57/89.78 (step @p65 :rule trans :premises (@p64 @p49)) % 89.57/89.78 (step @p66 :rule eq_resolve :premises (@p22 @p65)) % 89.57/89.78 (step @p67 :rule instantiate :premises (@p66) :args ((@list @t125 @t122))) % 89.57/89.78 (step @p68 :rule bool-impl-elim :args (@t11 @t68)) % 89.57/89.78 (step @p69 :rule cong :premises (@p68) :args (@t69)) % 89.57/89.78 (step @p70 :rule eq_resolve :premises (@p21 @p69)) % 89.57/89.78 (step @p71 :rule instantiate :premises (@p70) :args ((@list @t121))) % 89.57/89.78 (step @p72 :rule aci_norm :args ((= @t127 @t118))) % 89.57/89.78 (step @p73 :rule cong :premises (@p72) :args (@t128)) % 89.57/89.78 (step @p74 :rule quant-merge-prenex :args ((= (forall @t13 @t130) @t128))) % 89.57/89.78 (step @p75 :rule alpha_equiv :args (@t131 (@list @t113 @t112) (@list @t1 @t132))) % 89.57/89.78 (step @p76 :rule nary_cong :premises (@p39 @p75) :args (@t133)) % 89.57/89.78 (step @p77 :rule quant-miniscope-or :args ((= @t130 @t133))) % 89.57/89.78 (step @p78 :rule trans :premises (@p77 @p76)) % 89.57/89.78 (step @p79 :rule symm :premises (@p78)) % 89.57/89.78 (step @p80 :rule cong :premises (@p79) :args ((forall @t13 (or @t100 @t139)))) % 89.57/89.78 (step @p81 :rule trans :premises (@p80 @p74)) % 89.57/89.78 (step @p82 :rule trans :premises (@p81 @p73)) % 89.57/89.78 (step @p83 :rule bool-impl-elim :args (@t11 @t139)) % 89.57/89.78 (step @p84 :rule cong :premises (@p83) :args ((forall @t13 (=> @t11 @t139)))) % 89.57/89.78 (step @p85 :rule trans :premises (@p84 @p82)) % 89.57/89.78 (step @p86 :rule aci_norm :args ((= @t141 @t137))) % 89.57/89.78 (step @p87 :rule cong :premises (@p86) :args (@t142)) % 89.57/89.78 (step @p88 :rule quant-merge-prenex :args ((= (forall @t9 @t144) @t142))) % 89.57/89.78 (step @p89 :rule alpha_equiv :args (@t145 (@list @t132) @t146)) % 89.57/89.78 (step @p90 :rule nary_cong :premises (@p52 @p89) :args (@t147)) % 89.57/89.78 (step @p91 :rule quant-miniscope-or :args ((= @t144 @t147))) % 89.57/89.78 (step @p92 :rule trans :premises (@p91 @p90)) % 89.57/89.78 (step @p93 :rule symm :premises (@p92)) % 89.57/89.78 (step @p94 :rule cong :premises (@p93) :args ((forall @t9 (or @t109 @t151)))) % 89.57/89.78 (step @p95 :rule trans :premises (@p94 @p88)) % 89.57/89.78 (step @p96 :rule trans :premises (@p95 @p87)) % 89.57/89.78 (step @p97 :rule bool-impl-elim :args (@t8 @t151)) % 89.57/89.78 (step @p98 :rule cong :premises (@p97) :args ((forall @t9 (=> @t8 @t151)))) % 89.57/89.78 (step @p99 :rule trans :premises (@p98 @p96)) % 89.57/89.78 (step @p100 :rule aci_norm :args ((= (or @t149 (or @t148 @t86)) @t150))) % 89.57/89.78 (step @p101 :rule bool-impl-elim :args (@t88 @t86)) % 89.57/89.78 (step @p102 :rule refl :args (@t149)) % 89.57/89.78 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t149 @t89))) % 89.57/89.78 (step @p104 :rule trans :premises (@p103 @p100)) % 89.57/89.78 (step @p105 :rule bool-impl-elim :args (@t40 @t89)) % 89.57/89.78 (step @p106 :rule trans :premises (@p105 @p104)) % 89.57/89.78 (step @p107 :rule cong :premises (@p106) :args (@t90)) % 89.57/89.78 (step @p108 :rule refl :args (@t8)) % 89.57/89.78 (step @p109 :rule cong :premises (@p108 @p107) :args (@t91)) % 89.57/89.78 (step @p110 :rule cong :premises (@p109) :args (@t92)) % 89.57/89.78 (step @p111 :rule trans :premises (@p110 @p99)) % 89.57/89.78 (step @p112 :rule cong :premises (@p62 @p111) :args (@t93)) % 89.57/89.78 (step @p113 :rule cong :premises (@p112) :args (@t94)) % 89.57/89.78 (step @p114 :rule trans :premises (@p113 @p85)) % 89.57/89.78 (step @p115 :rule cong :premises (@p114) :args (@t95)) % 89.57/89.79 (step @p116 :rule eq_resolve :premises (@p33 @p115)) % 89.57/89.79 (step @p117 :rule skolemize :premises (@p116)) % 89.57/89.79 (step @p118 :rule bool-double-not-elim :args (@t152)) % 89.57/89.79 (step @p119 :rule refl :args (@t163)) % 89.57/89.79 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t163 (not @t160)))) % 89.57/89.79 (step @p121 :rule cnf_or_neg :args (@t163 1)) % 89.57/89.79 (step @p122 :rule eq_resolve :premises (@p121 @p120)) % 89.57/89.79 (step @p123 :rule reordering :premises (@p122) :args ((or @t152 @t163))) % 89.57/89.79 (step @p124 :rule chain_m_resolution :premises (@p123 @p117) :args (@t152 @t164 @t165)) % 89.57/89.79 (step @p125 :rule cnf_or_pos :args (@t170)) % 89.57/89.79 (step @p126 :rule reordering :premises (@p125) :args ((or @t160 @t169 (not @t170)))) % 89.57/89.79 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p71) :args (@t169 @t171 (@list @t152 @t170))) % 89.57/89.79 (step @p128 :rule cnf_and_pos :args (@t169 1)) % 89.57/89.79 (step @p129 :rule reordering 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(@p323) :args (@t287)) % 89.57/89.79 (step @p325 :rule quant-merge-prenex :args ((= (forall @t13 @t289) @t287))) % 89.57/89.79 (step @p326 :rule alpha_equiv :args (@t290 (@list @t278 @t279 @t277) (@list @t1 @t292 @t291))) % 89.57/89.79 (step @p327 :rule nary_cong :premises (@p39 @p326) :args (@t293)) % 89.57/89.79 (step @p328 :rule quant-miniscope-or :args ((= @t289 @t293))) % 89.57/89.79 (step @p329 :rule trans :premises (@p328 @p327)) % 89.57/89.79 (step @p330 :rule symm :premises (@p329)) % 89.57/89.79 (step @p331 :rule cong :premises (@p330) :args ((forall @t13 (or @t100 @t300)))) % 89.57/89.79 (step @p332 :rule trans :premises (@p331 @p325)) % 89.57/89.79 (step @p333 :rule trans :premises (@p332 @p324)) % 89.57/89.79 (step @p334 :rule bool-impl-elim :args (@t11 @t300)) % 89.57/89.79 (step @p335 :rule cong :premises (@p334) :args ((forall @t13 (=> @t11 @t300)))) % 89.57/89.79 (step @p336 :rule trans :premises (@p335 @p333)) % 89.57/89.79 (step @p337 :rule aci_norm :args ((= @t302 @t298))) % 89.57/89.79 (step @p338 :rule cong :premises (@p337) :args (@t303)) % 89.57/89.79 (step @p339 :rule quant-merge-prenex :args ((= (forall @t9 @t305) @t303))) % 89.57/89.79 (step @p340 :rule alpha_equiv :args (@t306 (@list @t292 @t291) (@list @t16 @t307))) % 89.57/89.79 (step @p341 :rule nary_cong :premises (@p52 @p340) :args (@t308)) % 89.57/89.79 (step @p342 :rule quant-miniscope-or :args ((= @t305 @t308))) % 89.57/89.79 (step @p343 :rule trans :premises (@p342 @p341)) % 89.57/89.79 (step @p344 :rule symm :premises (@p343)) % 89.57/89.79 (step @p345 :rule cong :premises (@p344) :args ((forall @t9 (or @t109 @t314)))) % 89.57/89.79 (step @p346 :rule trans :premises (@p345 @p339)) % 89.57/89.79 (step @p347 :rule trans :premises (@p346 @p338)) % 89.57/89.79 (step @p348 :rule bool-impl-elim :args (@t8 @t314)) % 89.57/89.79 (step @p349 :rule cong :premises (@p348) :args ((forall @t9 (=> @t8 @t314)))) % 89.57/89.79 (step @p350 :rule trans :premises (@p349 @p347)) % 89.57/89.79 (step @p351 :rule aci_norm :args ((= @t316 @t312))) % 89.57/89.79 (step @p352 :rule cong :premises (@p351) :args (@t317)) % 89.57/89.79 (step @p353 :rule quant-merge-prenex :args ((= (forall @t27 @t319) @t317))) % 89.57/89.79 (step @p354 :rule alpha_equiv :args (@t320 (@list @t307) (@list @t15))) % 89.57/89.79 (step @p355 :rule nary_cong :premises (@p241 @p354) :args (@t321)) % 89.57/89.79 (step @p356 :rule quant-miniscope-or :args ((= @t319 @t321))) % 89.57/89.79 (step @p357 :rule trans :premises (@p356 @p355)) % 89.57/89.79 (step @p358 :rule symm :premises (@p357)) % 89.57/89.79 (step @p359 :rule cong :premises (@p358) :args ((forall @t27 (or @t227 @t325)))) % 89.57/89.79 (step @p360 :rule trans :premises (@p359 @p353)) % 89.57/89.79 (step @p361 :rule trans :premises (@p360 @p352)) % 89.57/89.79 (step @p362 :rule bool-impl-elim :args (@t25 @t325)) % 89.57/89.79 (step @p363 :rule cong :premises (@p362) :args ((forall @t27 (=> @t25 @t325)))) % 89.57/89.79 (step @p364 :rule trans :premises (@p363 @p361)) % 89.57/89.79 (step @p365 :rule aci_norm :args ((= (or @t323 (or @t322 @t17)) @t324))) % 89.57/89.79 (step @p366 :rule bool-impl-elim :args (@t19 @t17)) % 89.57/89.79 (step @p367 :rule refl :args (@t323)) % 89.57/89.79 (step @p368 :rule nary_cong :premises (@p367 @p366) :args ((or @t323 @t20))) % 89.57/89.79 (step @p369 :rule trans :premises (@p368 @p365)) % 89.57/89.79 (step @p370 :rule bool-impl-elim :args (@t22 @t20)) % 89.57/89.79 (step @p371 :rule trans :premises (@p370 @p369)) % 89.57/89.79 (step @p372 :rule cong :premises (@p371) :args (@t24)) % 89.57/89.79 (step @p373 :rule refl :args (@t25)) % 89.57/89.79 (step @p374 :rule cong :premises (@p373 @p372) :args (@t26)) % 89.57/89.79 (step @p375 :rule cong :premises (@p374) :args (@t28)) % 89.57/89.79 (step @p376 :rule trans :premises (@p375 @p364)) % 89.57/89.79 (step @p377 :rule cong :premises (@p108 @p376) :args (@t29)) % 89.57/89.79 (step @p378 :rule cong :premises (@p377) :args (@t30)) % 89.57/89.79 (step @p379 :rule trans :premises (@p378 @p350)) % 89.57/89.79 (step @p380 :rule cong :premises (@p62 @p379) :args (@t31)) % 89.57/89.79 (step @p381 :rule cong :premises (@p380) :args (@t32)) % 89.57/89.79 (step @p382 :rule trans :premises (@p381 @p336)) % 89.57/89.79 (step @p383 :rule eq_resolve :premises (@p2 @p382)) % 89.57/89.79 (step @p384 :rule instantiate :premises (@p383) :args ((@list @t121 @t124 @t121 @t123))) % 89.57/89.79 (step @p385 :rule bool-double-not-elim :args (@t156)) % 89.57/89.79 (step @p386 :rule nary_cong :premises (@p119 @p385) :args ((or @t163 (not @t157)))) % 89.57/89.79 (step @p387 :rule cnf_or_neg :args (@t163 3)) % 89.57/89.79 (step @p388 :rule eq_resolve :premises (@p387 @p386)) % 89.57/89.79 (step @p389 :rule reordering :premises (@p388) :args ((or @t156 @t163))) % 89.57/89.79 (step @p390 :rule chain_m_resolution :premises (@p389 @p117) :args (@t156 @t164 @t165)) % 89.57/89.79 (step @p391 :rule cnf_or_pos :args (@t328)) % 89.57/89.79 (step @p392 :rule factoring :premises (@p391)) % 89.57/89.79 (step @p393 :rule reordering :premises (@p392) :args ((or @t162 @t160 @t159 @t157 @t327 (not @t328)))) % 89.57/89.79 (step @p394 :rule chain_m_resolution :premises (@p393 @p211 @p124 @p205 @p390 @p384) :args (@t327 (@list false false false false false) (@list @t161 @t152 @t158 @t156 @t328))) % 78.98/89.80 (step @p395 :rule cnf_and_pos :args (@t327 0)) % 78.98/89.80 (step @p396 :rule reordering :premises (@p395) :args ((or @t326 @t329))) % 78.98/89.80 (step @p397 :rule chain_m_resolution :premises (@p396 @p394) :args (@t326 @t173 @t330)) % 78.98/89.80 (step @p398 :rule cnf_and_pos :args (@t327 1)) % 78.98/89.80 (step @p399 :rule reordering :premises (@p398) :args ((or @t153 @t329))) % 78.98/89.80 (step @p400 :rule chain_m_resolution :premises (@p399 @p394) :args (@t153 @t173 @t330)) % 78.98/89.80 (step @p401 :rule cnf_or_neg :args (@t163 4)) % 78.98/89.80 (step @p402 :rule chain_m_resolution :premises (@p401 @p117) :args ((not @t155) @t164 @t165)) % 78.98/89.80 (step @p403 :rule cnf_and_neg :args (@t155)) % 78.98/89.80 (step @p404 :rule chain_m_resolution :premises (@p403 @p402 @p400) :args ((not @t154) @t331 (@list @t155 @t153))) % 78.98/89.80 (step @p405 :rule cnf_or_pos :args (@t334)) % 78.98/89.80 (step @p406 :rule reordering :premises (@p405) :args ((or @t160 @t154 @t180 @t333 @t332 (not @t334)))) % 78.98/89.80 (step @p407 :rule chain_m_resolution :premises (@p406 @p124 @p404 @p134 @p397 @p322) :args (@t332 (@list false true false false false) (@list @t152 @t154 @t179 @t326 @t334))) % 78.98/89.80 (step @p408 :rule cnf_equiv_pos2 :args (@t258)) % 78.98/89.80 (step @p409 :rule reordering :premises (@p408) :args ((or @t257 @t335 (not @t258)))) % 78.98/89.80 (step @p410 :rule chain_m_resolution :premises (@p409 @p407 @p290) :args (@t335 @t331 (@list @t257 @t258))) % 78.98/89.80 (step @p411 :rule cnf_equiv_pos1 :args (@t243)) % 78.98/89.80 (step @p412 :rule reordering :premises (@p411) :args ((or (not @t175) @t242 (not @t243)))) % 78.98/89.80 (step @p413 false :rule chain_m_resolution :premises (@p412 @p410 @p261 @p220) :args (false (@list true false false) (@list @t242 @t243 @t175))) % 78.98/89.80 ) % 78.98/89.80 % SZS output end Proof % 78.98/89.80 % cvc5 exiting %------------------------------------------------------------------------------