%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET663+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 : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:48:23 AM UTC 2026 % Result : Theorem 33.23s 33.43s % Output : Proof 33.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET663+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 % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:05:47 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 33.23/33.43 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.23/33.43 --- Run --no-e-matching --full-saturate-quant at 6... % 33.23/33.43 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.23/33.43 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.23/33.43 % SZS status Theorem % 33.23/33.43 % SZS output start Proof % 33.23/33.43 ( % 33.23/33.43 (declare-sort $$unsorted 0) % 33.23/33.43 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.23/33.43 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 33.23/33.43 (declare-const tptp.relation_like (-> $$unsorted Bool)) % 33.23/33.43 (declare-const tptp.empty_set $$unsorted) % 33.23/33.43 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.23/33.43 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.23/33.43 (declare-const tptp.set_type $$unsorted) % 33.23/33.43 (declare-const tptp.subset_type (-> $$unsorted $$unsorted)) % 33.23/33.43 (declare-const tptp.member_type (-> $$unsorted $$unsorted)) % 33.23/33.43 (declare-const tptp.ilf_type (-> $$unsorted $$unsorted Bool)) % 33.23/33.43 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 33.23/33.43 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 33.23/33.43 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 33.23/33.43 (declare-const tptp.type (-> $$unsorted $$unsorted Bool)) % 33.23/33.43 (declare-const tptp.binary_relation_type $$unsorted) % 33.23/33.43 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 33.23/33.43 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.23/33.43 (declare-const tptp.relation_type (-> $$unsorted $$unsorted $$unsorted)) % 33.23/33.43 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 33.23/33.43 (define @t1 () (@var "B" $$unsorted)) % 33.23/33.43 (define @t2 () (= @t1 tptp.empty_set)) % 33.23/33.43 (define @t3 () (tptp.subset @t1 tptp.empty_set)) % 33.23/33.43 (define @t4 () (=> @t3 @t2)) % 33.23/33.43 (define @t5 () (tptp.ilf_type @t1 tptp.set_type)) % 33.23/33.43 (define @t6 () (=> @t5 @t4)) % 33.23/33.43 (define @t7 () (@list @t1)) % 33.23/33.43 (define @t8 () (forall @t7 @t6)) % 33.23/33.43 (define @t9 () (tptp.range_of @t1)) % 33.23/33.43 (define @t10 () (tptp.domain_of @t1)) % 33.23/33.43 (define @t11 () (or (= @t10 tptp.empty_set) (= @t9 tptp.empty_set))) % 33.23/33.43 (define @t12 () (=> @t11 @t2)) % 33.23/33.43 (define @t13 () (tptp.ilf_type @t1 tptp.binary_relation_type)) % 33.23/33.43 (define @t14 () (=> @t13 @t12)) % 33.23/33.43 (define @t15 () (forall @t7 @t14)) % 33.23/33.43 (define @t16 () (@var "C" $$unsorted)) % 33.23/33.43 (define @t17 () (@var "D" $$unsorted)) % 33.23/33.43 (define @t18 () (tptp.range_of @t17)) % 33.23/33.43 (define @t19 () (tptp.domain_of @t17)) % 33.23/33.43 (define @t20 () (and (tptp.subset @t19 @t1) (tptp.subset @t18 @t16))) % 33.23/33.43 (define @t21 () (tptp.relation_type @t1 @t16)) % 33.23/33.43 (define @t22 () (tptp.ilf_type @t17 @t21)) % 33.23/33.43 (define @t23 () (@list @t17)) % 33.23/33.43 (define @t24 () (forall @t23 (=> @t22 @t20))) % 33.23/33.43 (define @t25 () (tptp.ilf_type @t16 tptp.set_type)) % 33.23/33.43 (define @t26 () (=> @t25 @t24)) % 33.23/33.43 (define @t27 () (@list @t16)) % 33.23/33.43 (define @t28 () (forall @t27 @t26)) % 33.23/33.43 (define @t29 () (=> @t5 @t28)) % 33.23/33.43 (define @t30 () (forall @t7 @t29)) % 33.23/33.43 (define @t31 () (tptp.cross_product @t1 @t16)) % 33.23/33.43 (define @t32 () (tptp.subset_type @t31)) % 33.23/33.43 (define @t33 () (@var "E" $$unsorted)) % 33.23/33.43 (define @t34 () (tptp.ilf_type @t33 @t32)) % 33.23/33.43 (define @t35 () (tptp.ilf_type @t33 @t21)) % 33.23/33.43 (define @t36 () (@list @t33)) % 33.23/33.43 (define @t37 () (forall @t36 (=> @t35 @t34))) % 33.23/33.43 (define @t38 () (tptp.ilf_type @t17 @t32)) % 33.23/33.43 (define @t39 () (forall @t23 (=> @t38 @t22))) % 33.23/33.43 (define @t40 () (and @t39 @t37)) % 33.23/33.43 (define @t41 () (=> @t25 @t40)) % 33.23/33.43 (define @t42 () (forall @t27 @t41)) % 33.23/33.43 (define @t43 () (=> @t5 @t42)) % 33.23/33.43 (define @t44 () (forall @t7 @t43)) % 33.23/33.43 (define @t45 () (tptp.ordered_pair @t17 @t33)) % 33.23/33.43 (define @t46 () (tptp.ilf_type @t33 tptp.set_type)) % 33.23/33.43 (define @t47 () (tptp.ilf_type @t17 tptp.set_type)) % 33.23/33.43 (define @t48 () (= @t1 @t16)) % 33.23/33.43 (define @t49 () (tptp.ilf_type @t16 tptp.binary_relation_type)) % 33.23/33.43 (define @t50 () (tptp.ilf_type @t10 tptp.set_type)) % 33.23/33.43 (define @t51 () (forall @t7 (=> @t13 @t50))) % 33.23/33.43 (define @t52 () (tptp.relation_like @t1)) % 33.23/33.43 (define @t53 () (= @t13 (and @t52 @t5))) % 33.23/33.43 (define @t54 () (forall @t7 (=> @t5 @t53))) % 33.23/33.43 (define @t55 () (tptp.power_set @t1)) % 33.23/33.43 (define @t56 () (tptp.subset_type @t1)) % 33.23/33.43 (define @t57 () (tptp.ilf_type @t16 @t56)) % 33.23/33.43 (define @t58 () (forall @t23 (=> @t47 (=> (tptp.member @t17 @t1) (tptp.member @t17 @t16))))) % 33.23/33.43 (define @t59 () (tptp.member @t16 @t1)) % 33.23/33.43 (define @t60 () (tptp.empty @t1)) % 33.23/33.43 (define @t61 () (tptp.relation_like @t17)) % 33.23/33.43 (define @t62 () (forall @t23 (=> @t38 @t61))) % 33.23/33.43 (define @t63 () (=> @t25 @t62)) % 33.23/33.43 (define @t64 () (forall @t27 @t63)) % 33.23/33.43 (define @t65 () (=> @t5 @t64)) % 33.23/33.43 (define @t66 () (forall @t7 @t65)) % 33.23/33.43 (define @t67 () (tptp.domain @t1 @t16 @t17)) % 33.23/33.43 (define @t68 () (tptp.range @t1 @t16 @t17)) % 33.23/33.43 (define @t69 () (tptp.relation_type tptp.empty_set @t16)) % 33.23/33.43 (define @t70 () (tptp.ilf_type @t17 @t69)) % 33.23/33.43 (define @t71 () (=> @t70 (= @t17 tptp.empty_set))) % 33.23/33.43 (define @t72 () (=> @t22 @t71)) % 33.23/33.43 (define @t73 () (forall @t23 @t72)) % 33.23/33.43 (define @t74 () (=> @t25 @t73)) % 33.23/33.43 (define @t75 () (forall @t27 @t74)) % 33.23/33.43 (define @t76 () (=> @t5 @t75)) % 33.23/33.43 (define @t77 () (forall @t7 @t76)) % 33.23/33.43 (define @t78 () (not @t77)) % 33.23/33.43 (define @t79 () (@var "BOUND_VARIABLE_8364" $$unsorted)) % 33.23/33.43 (define @t80 () (= tptp.empty_set @t79)) % 33.23/33.43 (define @t81 () (@var "BOUND_VARIABLE_8362" $$unsorted)) % 33.23/33.43 (define @t82 () (not (tptp.ilf_type @t79 (tptp.relation_type tptp.empty_set @t81)))) % 33.23/33.43 (define @t83 () (not (tptp.ilf_type @t79 (tptp.relation_type @t1 @t81)))) % 33.23/33.43 (define @t84 () (not (tptp.ilf_type @t81 tptp.set_type))) % 33.23/33.43 (define @t85 () (not @t5)) % 33.23/33.43 (define @t86 () (or @t85 @t84 @t83 @t82 @t80)) % 33.23/33.43 (define @t87 () (or @t84 @t83 @t82 @t80)) % 33.23/33.43 (define @t88 () (or @t85 @t87)) % 33.23/33.43 (define @t89 () (@list @t1 @t81 @t79)) % 33.23/33.43 (define @t90 () (forall @t89 @t88)) % 33.23/33.43 (define @t91 () (@list @t81 @t79)) % 33.23/33.43 (define @t92 () (forall @t91 @t88)) % 33.23/33.43 (define @t93 () (forall @t91 @t87)) % 33.23/33.43 (define @t94 () (@var "BOUND_VARIABLE_8345" $$unsorted)) % 33.23/33.43 (define @t95 () (or @t85 @t93)) % 33.23/33.43 (define @t96 () (= tptp.empty_set @t94)) % 33.23/33.43 (define @t97 () (not (tptp.ilf_type @t94 @t69))) % 33.23/33.43 (define @t98 () (not (tptp.ilf_type @t94 @t21))) % 33.23/33.43 (define @t99 () (not @t25)) % 33.23/33.43 (define @t100 () (or @t99 @t98 @t97 @t96)) % 33.23/33.43 (define @t101 () (@list @t16 @t94)) % 33.23/33.43 (define @t102 () (forall @t101 @t100)) % 33.23/33.43 (define @t103 () (or @t98 @t97 @t96)) % 33.23/33.43 (define @t104 () (or @t99 @t103)) % 33.23/33.43 (define @t105 () (forall @t101 @t104)) % 33.23/33.43 (define @t106 () (@list @t94)) % 33.23/33.43 (define @t107 () (forall @t106 @t104)) % 33.23/33.43 (define @t108 () (forall @t106 @t103)) % 33.23/33.43 (define @t109 () (@list @t17)) % 33.23/33.43 (define @t110 () (or @t99 @t108)) % 33.23/33.43 (define @t111 () (= tptp.empty_set @t17)) % 33.23/33.43 (define @t112 () (not @t70)) % 33.23/33.43 (define @t113 () (not @t22)) % 33.23/33.43 (define @t114 () (or @t113 @t112 @t111)) % 33.23/33.43 (define @t115 () (forall @t23 @t114)) % 33.23/33.43 (define @t116 () (=> @t70 @t111)) % 33.23/33.43 (define @t117 () (forall @t89 @t86)) % 33.23/33.43 (define @t118 () (@quantifiers_skolemize @t117 1)) % 33.23/33.43 (define @t119 () (tptp.ilf_type @t118 tptp.set_type)) % 33.23/33.43 (define @t120 () (@quantifiers_skolemize @t117 2)) % 33.23/33.43 (define @t121 () (= tptp.empty_set @t120)) % 33.23/33.43 (define @t122 () (tptp.ilf_type @t120 (tptp.relation_type tptp.empty_set @t118))) % 33.23/33.43 (define @t123 () (not @t122)) % 33.23/33.43 (define @t124 () (@quantifiers_skolemize @t117 0)) % 33.23/33.43 (define @t125 () (tptp.relation_type @t124 @t118)) % 33.23/33.43 (define @t126 () (tptp.ilf_type @t120 @t125)) % 33.23/33.43 (define @t127 () (not @t126)) % 33.23/33.43 (define @t128 () (not @t119)) % 33.23/33.43 (define @t129 () (tptp.ilf_type @t124 tptp.set_type)) % 33.23/33.43 (define @t130 () (not @t129)) % 33.23/33.43 (define @t131 () (or @t130 @t128 @t127 @t123 @t121)) % 33.23/33.43 (define @t132 () (@list true)) % 33.23/33.43 (define @t133 () (@list @t131)) % 33.23/33.43 (define @t134 () (@list @t120)) % 33.23/33.43 (define @t135 () (tptp.ilf_type @t120 tptp.set_type)) % 33.23/33.43 (define @t136 () (tptp.relation_like @t120)) % 33.23/33.43 (define @t137 () (and @t136 @t135)) % 33.23/33.43 (define @t138 () (tptp.ilf_type @t120 tptp.binary_relation_type)) % 33.23/33.43 (define @t139 () (= @t138 @t137)) % 33.23/33.43 (define @t140 () (not @t135)) % 33.23/33.43 (define @t141 () (or @t140 @t139)) % 33.23/33.43 (define @t142 () (@list false false)) % 33.23/33.43 (define @t143 () (@var "BOUND_VARIABLE_8146" $$unsorted)) % 33.23/33.43 (define @t144 () (tptp.relation_like @t143)) % 33.23/33.43 (define @t145 () (@var "BOUND_VARIABLE_8144" $$unsorted)) % 33.23/33.43 (define @t146 () (not (tptp.ilf_type @t143 (tptp.subset_type (tptp.cross_product @t1 @t145))))) % 33.23/33.43 (define @t147 () (not (tptp.ilf_type @t145 tptp.set_type))) % 33.23/33.43 (define @t148 () (or @t147 @t146 @t144)) % 33.23/33.43 (define @t149 () (or @t85 @t148)) % 33.23/33.43 (define @t150 () (forall (@list @t1 @t145 @t143) @t149)) % 33.23/33.43 (define @t151 () (@list @t145 @t143)) % 33.23/33.43 (define @t152 () (forall @t151 @t149)) % 33.23/33.43 (define @t153 () (forall @t151 @t148)) % 33.23/33.43 (define @t154 () (@var "BOUND_VARIABLE_8129" $$unsorted)) % 33.23/33.43 (define @t155 () (or @t85 @t153)) % 33.23/33.43 (define @t156 () (tptp.relation_like @t154)) % 33.23/33.43 (define @t157 () (not (tptp.ilf_type @t154 @t32))) % 33.23/33.43 (define @t158 () (or @t99 @t157 @t156)) % 33.23/33.43 (define @t159 () (@list @t16 @t154)) % 33.23/33.43 (define @t160 () (forall @t159 @t158)) % 33.23/33.43 (define @t161 () (or @t157 @t156)) % 33.23/33.43 (define @t162 () (or @t99 @t161)) % 33.23/33.43 (define @t163 () (forall @t159 @t162)) % 33.23/33.43 (define @t164 () (@list @t154)) % 33.23/33.43 (define @t165 () (forall @t164 @t162)) % 33.23/33.43 (define @t166 () (forall @t164 @t161)) % 33.23/33.43 (define @t167 () (or @t99 @t166)) % 33.23/33.43 (define @t168 () (not @t38)) % 33.23/33.43 (define @t169 () (forall @t23 (or @t168 @t61))) % 33.23/33.43 (define @t170 () (@var "BOUND_VARIABLE_7781" $$unsorted)) % 33.23/33.43 (define @t171 () (tptp.subset_type (tptp.cross_product @t1 @t170))) % 33.23/33.43 (define @t172 () (@var "BOUND_VARIABLE_7785" $$unsorted)) % 33.23/33.43 (define @t173 () (tptp.relation_type @t1 @t170)) % 33.23/33.43 (define @t174 () (@var "BOUND_VARIABLE_7783" $$unsorted)) % 33.23/33.43 (define @t175 () (and (or (not (tptp.ilf_type @t174 @t171)) (tptp.ilf_type @t174 @t173)) (or (not (tptp.ilf_type @t172 @t173)) (tptp.ilf_type @t172 @t171)))) % 33.23/33.43 (define @t176 () (not (tptp.ilf_type @t170 tptp.set_type))) % 33.23/33.43 (define @t177 () (or @t176 @t175)) % 33.23/33.43 (define @t178 () (or @t85 @t177)) % 33.23/33.43 (define @t179 () (forall (@list @t1 @t170 @t174 @t172) @t178)) % 33.23/33.43 (define @t180 () (@list @t170 @t174 @t172)) % 33.23/33.43 (define @t181 () (forall @t180 @t178)) % 33.23/33.43 (define @t182 () (forall @t180 @t177)) % 33.23/33.43 (define @t183 () (@var "BOUND_VARIABLE_7767" $$unsorted)) % 33.23/33.43 (define @t184 () (@var "BOUND_VARIABLE_7761" $$unsorted)) % 33.23/33.43 (define @t185 () (or @t85 @t182)) % 33.23/33.43 (define @t186 () (or (not (tptp.ilf_type @t183 @t21)) (tptp.ilf_type @t183 @t32))) % 33.23/33.43 (define @t187 () (or (not (tptp.ilf_type @t184 @t32)) (tptp.ilf_type @t184 @t21))) % 33.23/33.43 (define @t188 () (and @t187 @t186)) % 33.23/33.43 (define @t189 () (or @t99 @t188)) % 33.23/33.43 (define @t190 () (forall (@list @t16 @t184 @t183) @t189)) % 33.23/33.43 (define @t191 () (@list @t184 @t183)) % 33.23/33.43 (define @t192 () (forall @t191 @t189)) % 33.23/33.43 (define @t193 () (forall (@list @t183) @t186)) % 33.23/33.43 (define @t194 () (forall @t191 @t186)) % 33.23/33.43 (define @t195 () (forall (@list @t184) @t187)) % 33.23/33.43 (define @t196 () (forall @t191 @t187)) % 33.23/33.43 (define @t197 () (and @t196 @t194)) % 33.23/33.43 (define @t198 () (forall @t191 @t188)) % 33.23/33.43 (define @t199 () (or @t99 @t198)) % 33.23/33.43 (define @t200 () (and (forall @t23 (or @t168 @t22)) (forall @t36 (or (not @t35) @t34)))) % 33.23/33.43 (define @t201 () (tptp.subset_type (tptp.cross_product @t124 @t118))) % 33.23/33.43 (define @t202 () (tptp.ilf_type @t120 @t201)) % 33.23/33.43 (define @t203 () (or @t127 @t202)) % 33.23/33.43 (define @t204 () (and (or (not (tptp.ilf_type tptp.set_type @t201)) (tptp.ilf_type tptp.set_type @t125)) @t203)) % 33.23/33.43 (define @t205 () (or @t130 @t128 @t204)) % 33.23/33.43 (define @t206 () (@list false)) % 33.23/33.43 (define @t207 () (not @t202)) % 33.23/33.43 (define @t208 () (or @t130 @t128 @t207 @t136)) % 33.23/33.43 (define @t209 () (= tptp.empty_set @t1)) % 33.23/33.43 (define @t210 () (= tptp.empty_set @t9)) % 33.23/33.43 (define @t211 () (= tptp.empty_set @t10)) % 33.23/33.43 (define @t212 () (and (not @t211) (not @t210))) % 33.23/33.43 (define @t213 () (not @t13)) % 33.23/33.43 (define @t214 () (or @t211 @t210)) % 33.23/33.43 (define @t215 () (=> @t214 @t209)) % 33.23/33.43 (define @t216 () (tptp.range_of @t120)) % 33.23/33.43 (define @t217 () (tptp.domain_of @t120)) % 33.23/33.43 (define @t218 () (= tptp.empty_set @t217)) % 33.23/33.43 (define @t219 () (not @t218)) % 33.23/33.43 (define @t220 () (and @t219 (not (= tptp.empty_set @t216)))) % 33.23/33.43 (define @t221 () (not @t138)) % 33.23/33.43 (define @t222 () (or @t221 @t220 @t121)) % 33.23/33.43 (define @t223 () (tptp.ilf_type @t217 tptp.set_type)) % 33.23/33.43 (define @t224 () (or @t221 @t223)) % 33.23/33.43 (define @t225 () (not @t3)) % 33.23/33.43 (define @t226 () (=> @t3 @t209)) % 33.23/33.43 (define @t227 () (tptp.subset @t217 tptp.empty_set)) % 33.23/33.43 (define @t228 () (not @t227)) % 33.23/33.43 (define @t229 () (not @t223)) % 33.23/33.43 (define @t230 () (or @t229 @t228 @t218)) % 33.23/33.43 (define @t231 () (and @t227 (tptp.subset @t216 @t118))) % 33.23/33.43 (define @t232 () (not @t231)) % 33.23/33.43 (define @t233 () (@var "BOUND_VARIABLE_7726" $$unsorted)) % 33.23/33.43 (define @t234 () (@var "BOUND_VARIABLE_7728" $$unsorted)) % 33.23/33.43 (define @t235 () (and (tptp.subset (tptp.domain_of @t234) @t1) (tptp.subset (tptp.range_of @t234) @t233))) % 33.23/33.43 (define @t236 () (not (tptp.ilf_type @t234 (tptp.relation_type @t1 @t233)))) % 33.23/33.43 (define @t237 () (not (tptp.ilf_type @t233 tptp.set_type))) % 33.23/33.43 (define @t238 () (or @t237 @t236 @t235)) % 33.23/33.43 (define @t239 () (or @t85 @t238)) % 33.23/33.43 (define @t240 () (forall (@list @t1 @t233 @t234) @t239)) % 33.23/33.43 (define @t241 () (@list @t233 @t234)) % 33.23/33.43 (define @t242 () (forall @t241 @t239)) % 33.23/33.43 (define @t243 () (forall @t241 @t238)) % 33.23/33.43 (define @t244 () (@var "BOUND_VARIABLE_7707" $$unsorted)) % 33.23/33.43 (define @t245 () (or @t85 @t243)) % 33.23/33.43 (define @t246 () (and (tptp.subset (tptp.domain_of @t244) @t1) (tptp.subset (tptp.range_of @t244) @t16))) % 33.23/33.43 (define @t247 () (not (tptp.ilf_type @t244 @t21))) % 33.23/33.43 (define @t248 () (or @t99 @t247 @t246)) % 33.23/33.43 (define @t249 () (@list @t16 @t244)) % 33.23/33.43 (define @t250 () (forall @t249 @t248)) % 33.23/33.43 (define @t251 () (or @t247 @t246)) % 33.23/33.43 (define @t252 () (or @t99 @t251)) % 33.23/33.43 (define @t253 () (forall @t249 @t252)) % 33.23/33.43 (define @t254 () (@list @t244)) % 33.23/33.43 (define @t255 () (forall @t254 @t252)) % 33.23/33.43 (define @t256 () (forall @t254 @t251)) % 33.23/33.43 (define @t257 () (or @t99 @t256)) % 33.23/33.43 (define @t258 () (forall @t23 (or @t113 @t20))) % 33.23/33.43 (define @t259 () (tptp.ilf_type tptp.empty_set tptp.set_type)) % 33.23/33.43 (define @t260 () (not @t259)) % 33.23/33.43 (define @t261 () (or @t260 @t128 @t123 @t231)) % 33.23/33.43 (assume @p1 @t8) % 33.23/33.43 (assume @p2 @t15) % 33.23/33.43 (assume @p3 @t30) % 33.23/33.43 (assume @p4 (forall @t7 (=> @t5 (not (tptp.member @t1 tptp.empty_set))))) % 33.23/33.43 (assume @p5 (tptp.empty tptp.empty_set)) % 33.23/33.43 (assume @p6 (tptp.type tptp.empty_set tptp.set_type)) % 33.23/33.43 (assume @p7 @t44) % 33.23/33.43 (assume @p8 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (exists @t23 (tptp.ilf_type @t17 (tptp.relation_type @t16 @t1)))))))) % 33.23/33.43 (assume @p9 (forall @t7 (=> @t13 (forall @t27 (=> @t49 (= @t48 (forall @t23 (=> @t47 (forall @t36 (=> @t46 (= (tptp.member @t45 @t1) (tptp.member @t45 @t16)))))))))))) % 33.23/33.43 (assume @p10 @t51) % 33.23/33.43 (assume @p11 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (tptp.ilf_type @t31 tptp.set_type)))))) % 33.23/33.43 (assume @p12 (forall @t7 (=> @t13 (tptp.ilf_type @t9 tptp.set_type)))) % 33.23/33.43 (assume @p13 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (tptp.ilf_type (tptp.ordered_pair @t1 @t16) tptp.set_type)))))) % 33.23/33.43 (assume @p14 @t54) % 33.23/33.43 (assume @p15 (exists @t7 @t13)) % 33.23/33.43 (assume @p16 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (= @t57 (tptp.ilf_type @t16 (tptp.member_type @t55)))))))) % 33.23/33.43 (assume @p17 (forall @t7 (=> @t5 (exists @t27 @t57)))) % 33.23/33.43 (assume @p18 (forall @t7 (=> @t13 (forall @t27 (=> @t49 (=> @t48 (= @t16 @t1))))))) % 33.23/33.43 (assume @p19 (forall @t7 (=> @t13 (= @t1 @t1)))) % 33.23/33.43 (assume @p20 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (= (tptp.subset @t1 @t16) @t58)))))) % 33.23/33.43 (assume @p21 (forall @t7 (=> @t5 (tptp.subset @t1 @t1)))) % 33.23/33.43 (assume @p22 (forall @t7 (=> @t5 (= @t60 (forall @t27 (=> @t25 (not @t59))))))) % 33.23/33.43 (assume @p23 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (= (tptp.member @t1 (tptp.power_set @t16)) @t58)))))) % 33.23/33.43 (assume @p24 (forall @t7 (=> @t5 (and (not (tptp.empty @t55)) (tptp.ilf_type @t55 tptp.set_type))))) % 33.23/33.43 (assume @p25 (forall @t7 (=> @t5 (forall @t27 (=> (and (not (tptp.empty @t16)) @t25) (= (tptp.ilf_type @t1 (tptp.member_type @t16)) (tptp.member @t1 @t16))))))) % 33.23/33.43 (assume @p26 (forall @t7 (=> (and (not @t60) @t5) (exists @t27 (tptp.ilf_type @t16 (tptp.member_type @t1)))))) % 33.23/33.43 (assume @p27 (forall @t7 (=> @t5 (= @t52 (forall @t27 (=> @t25 (=> @t59 (exists @t23 (and @t47 (exists @t36 (and @t46 (= @t16 @t45)))))))))))) % 33.23/33.43 (assume @p28 (forall @t7 (=> (and @t60 @t5) @t52))) % 33.23/33.43 (assume @p29 @t66) % 33.23/33.43 (assume @p30 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (forall @t23 (=> @t22 (= @t67 @t19)))))))) % 33.23/33.43 (assume @p31 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (forall @t23 (=> @t22 (tptp.ilf_type @t67 @t56)))))))) % 33.23/33.43 (assume @p32 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (forall @t23 (=> @t22 (= @t68 @t18)))))))) % 33.23/33.43 (assume @p33 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (forall @t23 (=> @t22 (tptp.ilf_type @t68 (tptp.subset_type @t16))))))))) % 33.23/33.43 (assume @p34 (forall @t7 @t5)) % 33.23/33.43 (assume @p35 @t78) % 33.23/33.43 (assume @p36 true) % 33.23/33.43 (step @p37 :rule aci_norm :args ((= @t88 @t86))) % 33.23/33.43 (step @p38 :rule cong :premises (@p37) :args (@t90)) % 33.23/33.43 (step @p39 :rule quant-merge-prenex :args ((= (forall @t7 @t92) @t90))) % 33.23/33.43 (step @p40 :rule alpha_equiv :args (@t93 (@list @t81 @t79) (@list @t16 @t94))) % 33.23/33.43 (step @p41 :rule refl :args (@t85)) % 33.23/33.43 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t95)) % 33.23/33.43 (step @p43 :rule quant-miniscope-or :args ((= @t92 @t95))) % 33.23/33.43 (step @p44 :rule trans :premises (@p43 @p42)) % 33.23/33.43 (step @p45 :rule symm :premises (@p44)) % 33.23/33.43 (step @p46 :rule cong :premises (@p45) :args ((forall @t7 (or @t85 @t102)))) % 33.23/33.43 (step @p47 :rule trans :premises (@p46 @p39)) % 33.23/33.43 (step @p48 :rule trans :premises (@p47 @p38)) % 33.23/33.43 (step @p49 :rule bool-impl-elim :args (@t5 @t102)) % 33.23/33.43 (step @p50 :rule cong :premises (@p49) :args ((forall @t7 (=> @t5 @t102)))) % 33.23/33.43 (step @p51 :rule trans :premises (@p50 @p48)) % 33.23/33.43 (step @p52 :rule aci_norm :args ((= @t104 @t100))) % 33.23/33.43 (step @p53 :rule cong :premises (@p52) :args (@t105)) % 33.23/33.43 (step @p54 :rule quant-merge-prenex :args ((= (forall @t27 @t107) @t105))) % 33.23/33.43 (step @p55 :rule alpha_equiv :args (@t108 (@list @t94) @t109)) % 33.23/33.43 (step @p56 :rule refl :args (@t99)) % 33.23/33.43 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t110)) % 33.23/33.43 (step @p58 :rule quant-miniscope-or :args ((= @t107 @t110))) % 33.23/33.43 (step @p59 :rule trans :premises (@p58 @p57)) % 33.23/33.43 (step @p60 :rule symm :premises (@p59)) % 33.23/33.43 (step @p61 :rule cong :premises (@p60) :args ((forall @t27 (or @t99 @t115)))) % 33.23/33.43 (step @p62 :rule trans :premises (@p61 @p54)) % 33.23/33.43 (step @p63 :rule trans :premises (@p62 @p53)) % 33.23/33.43 (step @p64 :rule bool-impl-elim :args (@t25 @t115)) % 33.23/33.43 (step @p65 :rule cong :premises (@p64) :args ((forall @t27 (=> @t25 @t115)))) % 33.23/33.43 (step @p66 :rule trans :premises (@p65 @p63)) % 33.23/33.43 (step @p67 :rule aci_norm :args ((= (or @t113 (or @t112 @t111)) @t114))) % 33.23/33.43 (step @p68 :rule bool-impl-elim :args (@t70 @t111)) % 33.23/33.43 (step @p69 :rule refl :args (@t113)) % 33.23/33.43 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t113 @t116))) % 33.23/33.43 (step @p71 :rule trans :premises (@p70 @p67)) % 33.23/33.43 (step @p72 :rule bool-impl-elim :args (@t22 @t116)) % 33.23/33.43 (step @p73 :rule trans :premises (@p72 @p71)) % 33.23/33.43 (step @p74 :rule cong :premises (@p73) :args ((forall @t23 (=> @t22 @t116)))) % 33.23/33.43 (step @p75 :rule eq-symm :args (@t17 tptp.empty_set)) % 33.23/33.43 (step @p76 :rule refl :args (@t70)) % 33.23/33.43 (step @p77 :rule cong :premises (@p76 @p75) :args (@t71)) % 33.23/33.43 (step @p78 :rule refl :args (@t22)) % 33.23/33.43 (step @p79 :rule cong :premises (@p78 @p77) :args (@t72)) % 33.23/33.43 (step @p80 :rule cong :premises (@p79) :args (@t73)) % 33.23/33.43 (step @p81 :rule trans :premises (@p80 @p74)) % 33.23/33.43 (step @p82 :rule refl :args (@t25)) % 33.23/33.43 (step @p83 :rule cong :premises (@p82 @p81) :args (@t74)) % 33.23/33.43 (step @p84 :rule cong :premises (@p83) :args (@t75)) % 33.23/33.43 (step @p85 :rule trans :premises (@p84 @p66)) % 33.23/33.43 (step @p86 :rule refl :args (@t5)) % 33.23/33.43 (step @p87 :rule cong :premises (@p86 @p85) :args (@t76)) % 33.23/33.43 (step @p88 :rule cong :premises (@p87) :args (@t77)) % 33.23/33.43 (step @p89 :rule trans :premises (@p88 @p51)) % 33.23/33.43 (step @p90 :rule cong :premises (@p89) :args (@t78)) % 33.23/33.43 (step @p91 :rule eq_resolve :premises (@p35 @p90)) % 33.23/33.43 (step @p92 :rule skolemize :premises (@p91)) % 33.23/33.43 (step @p93 :rule bool-double-not-elim :args (@t119)) % 33.23/33.43 (step @p94 :rule refl :args (@t131)) % 33.23/33.43 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t131 (not @t128)))) % 33.23/33.43 (step @p96 :rule cnf_or_neg :args (@t131 1)) % 33.23/33.43 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 33.23/33.43 (step @p98 :rule reordering :premises (@p97) :args ((or @t119 @t131))) % 33.23/33.43 (step @p99 :rule chain_m_resolution :premises (@p98 @p92) :args (@t119 @t132 @t133)) % 33.23/33.43 (step @p100 :rule bool-double-not-elim :args (@t122)) % 33.23/33.43 (step @p101 :rule nary_cong :premises (@p94 @p100) :args ((or @t131 (not @t123)))) % 33.23/33.43 (step @p102 :rule cnf_or_neg :args (@t131 3)) % 33.23/33.43 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 33.23/33.43 (step @p104 :rule reordering :premises (@p103) :args ((or @t122 @t131))) % 33.23/33.43 (step @p105 :rule chain_m_resolution :premises (@p104 @p92) :args (@t122 @t132 @t133)) % 33.23/33.43 (step @p106 :rule instantiate :premises (@p34) :args ((@list tptp.empty_set))) % 33.23/33.43 (step @p107 :rule bool-impl-elim :args (@t5 @t53)) % 33.23/33.43 (step @p108 :rule cong :premises (@p107) :args (@t54)) % 33.23/33.43 (step @p109 :rule eq_resolve :premises (@p14 @p108)) % 33.23/33.43 (step @p110 :rule instantiate :premises (@p109) :args (@t134)) % 33.23/33.43 (step @p111 :rule instantiate :premises (@p34) :args (@t134)) % 33.23/33.43 (step @p112 :rule cnf_or_pos :args (@t141)) % 33.23/33.43 (step @p113 :rule reordering :premises (@p112) :args ((or @t140 @t139 (not @t141)))) % 33.23/33.43 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p110) :args (@t139 @t142 (@list @t135 @t141))) % 33.23/33.43 (step @p115 :rule aci_norm :args ((= @t149 (or @t85 @t147 @t146 @t144)))) % 33.23/33.43 (step @p116 :rule cong :premises (@p115) :args (@t150)) % 33.23/33.43 (step @p117 :rule quant-merge-prenex :args ((= (forall @t7 @t152) @t150))) % 33.23/33.43 (step @p118 :rule alpha_equiv :args (@t153 (@list @t145 @t143) (@list @t16 @t154))) % 33.23/33.43 (step @p119 :rule nary_cong :premises (@p41 @p118) :args (@t155)) % 33.23/33.43 (step @p120 :rule quant-miniscope-or :args ((= @t152 @t155))) % 33.23/33.43 (step @p121 :rule trans :premises (@p120 @p119)) % 33.23/33.43 (step @p122 :rule symm :premises (@p121)) % 33.23/33.43 (step @p123 :rule cong :premises (@p122) :args ((forall @t7 (or @t85 @t160)))) % 33.23/33.43 (step @p124 :rule trans :premises (@p123 @p117)) % 33.23/33.43 (step @p125 :rule trans :premises (@p124 @p116)) % 33.23/33.43 (step @p126 :rule bool-impl-elim :args (@t5 @t160)) % 33.23/33.43 (step @p127 :rule cong :premises (@p126) :args ((forall @t7 (=> @t5 @t160)))) % 33.23/33.43 (step @p128 :rule trans :premises (@p127 @p125)) % 33.23/33.43 (step @p129 :rule aci_norm :args ((= @t162 @t158))) % 33.23/33.43 (step @p130 :rule cong :premises (@p129) :args (@t163)) % 33.23/33.43 (step @p131 :rule quant-merge-prenex :args ((= (forall @t27 @t165) @t163))) % 33.23/33.43 (step @p132 :rule alpha_equiv :args (@t166 (@list @t154) @t109)) % 33.23/33.43 (step @p133 :rule nary_cong :premises (@p56 @p132) :args (@t167)) % 33.23/33.43 (step @p134 :rule quant-miniscope-or :args ((= @t165 @t167))) % 33.23/33.43 (step @p135 :rule trans :premises (@p134 @p133)) % 33.23/33.43 (step @p136 :rule symm :premises (@p135)) % 33.23/33.43 (step @p137 :rule cong :premises (@p136) :args ((forall @t27 (or @t99 @t169)))) % 33.23/33.43 (step @p138 :rule trans :premises (@p137 @p131)) % 33.23/33.43 (step @p139 :rule trans :premises (@p138 @p130)) % 33.23/33.43 (step @p140 :rule bool-impl-elim :args (@t25 @t169)) % 33.23/33.43 (step @p141 :rule cong :premises (@p140) :args ((forall @t27 (=> @t25 @t169)))) % 33.23/33.43 (step @p142 :rule trans :premises (@p141 @p139)) % 33.23/33.43 (step @p143 :rule bool-impl-elim :args (@t38 @t61)) % 33.23/33.43 (step @p144 :rule cong :premises (@p143) :args (@t62)) % 33.23/33.43 (step @p145 :rule cong :premises (@p82 @p144) :args (@t63)) % 33.23/33.43 (step @p146 :rule cong :premises (@p145) :args (@t64)) % 33.23/33.43 (step @p147 :rule trans :premises (@p146 @p142)) % 33.23/33.43 (step @p148 :rule cong :premises (@p86 @p147) :args (@t65)) % 33.23/33.43 (step @p149 :rule cong :premises (@p148) :args (@t66)) % 33.23/33.43 (step @p150 :rule trans :premises (@p149 @p128)) % 33.23/33.43 (step @p151 :rule eq_resolve :premises (@p29 @p150)) % 33.23/33.43 (step @p152 :rule instantiate :premises (@p151) :args ((@list @t124 @t118 @t120))) % 33.23/33.43 (step @p153 :rule aci_norm :args ((= @t178 (or @t85 @t176 @t175)))) % 33.23/33.43 (step @p154 :rule cong :premises (@p153) :args (@t179)) % 33.23/33.43 (step @p155 :rule quant-merge-prenex :args ((= (forall @t7 @t181) @t179))) % 33.23/33.43 (step @p156 :rule alpha_equiv :args (@t182 (@list @t170 @t174 @t172) (@list @t16 @t184 @t183))) % 33.23/33.43 (step @p157 :rule nary_cong :premises (@p41 @p156) :args (@t185)) % 33.23/33.43 (step @p158 :rule quant-miniscope-or :args ((= @t181 @t185))) % 33.23/33.43 (step @p159 :rule trans :premises (@p158 @p157)) % 33.23/33.43 (step @p160 :rule symm :premises (@p159)) % 33.23/33.43 (step @p161 :rule cong :premises (@p160) :args ((forall @t7 (or @t85 @t190)))) % 33.23/33.43 (step @p162 :rule trans :premises (@p161 @p155)) % 33.23/33.43 (step @p163 :rule trans :premises (@p162 @p154)) % 33.23/33.43 (step @p164 :rule bool-impl-elim :args (@t5 @t190)) % 33.23/33.43 (step @p165 :rule cong :premises (@p164) :args ((forall @t7 (=> @t5 @t190)))) % 33.23/33.43 (step @p166 :rule trans :premises (@p165 @p163)) % 33.23/33.43 (step @p167 :rule quant-merge-prenex :args ((= (forall @t27 @t192) @t190))) % 33.23/33.43 (step @p168 :rule alpha_equiv :args (@t193 (@list @t183) (@list @t33))) % 33.23/33.43 (step @p169 :rule quant-unused-vars :args ((= @t194 @t193))) % 33.23/33.43 (step @p170 :rule trans :premises (@p169 @p168)) % 33.23/33.43 (step @p171 :rule alpha_equiv :args (@t195 (@list @t184) @t109)) % 33.23/33.43 (step @p172 :rule quant-unused-vars :args ((= @t196 @t195))) % 33.23/33.43 (step @p173 :rule trans :premises (@p172 @p171)) % 33.23/33.43 (step @p174 :rule nary_cong :premises (@p173 @p170) :args (@t197)) % 33.23/33.43 (step @p175 :rule quant-miniscope-and :args ((= @t198 @t197))) % 33.23/33.43 (step @p176 :rule trans :premises (@p175 @p174)) % 33.23/33.43 (step @p177 :rule nary_cong :premises (@p56 @p176) :args (@t199)) % 33.23/33.43 (step @p178 :rule quant-miniscope-or :args ((= @t192 @t199))) % 33.23/33.43 (step @p179 :rule trans :premises (@p178 @p177)) % 33.23/33.43 (step @p180 :rule symm :premises (@p179)) % 33.23/33.43 (step @p181 :rule cong :premises (@p180) :args ((forall @t27 (or @t99 @t200)))) % 33.23/33.43 (step @p182 :rule trans :premises (@p181 @p167)) % 33.23/33.43 (step @p183 :rule bool-impl-elim :args (@t25 @t200)) % 33.23/33.43 (step @p184 :rule cong :premises (@p183) :args ((forall @t27 (=> @t25 @t200)))) % 33.23/33.43 (step @p185 :rule trans :premises (@p184 @p182)) % 33.23/33.43 (step @p186 :rule bool-impl-elim :args (@t35 @t34)) % 33.23/33.43 (step @p187 :rule cong :premises (@p186) :args (@t37)) % 33.23/33.43 (step @p188 :rule bool-impl-elim :args (@t38 @t22)) % 33.23/33.43 (step @p189 :rule cong :premises (@p188) :args (@t39)) % 33.23/33.43 (step @p190 :rule nary_cong :premises (@p189 @p187) :args (@t40)) % 33.23/33.43 (step @p191 :rule cong :premises (@p82 @p190) :args (@t41)) % 33.23/33.43 (step @p192 :rule cong :premises (@p191) :args (@t42)) % 33.23/33.43 (step @p193 :rule trans :premises (@p192 @p185)) % 33.23/33.43 (step @p194 :rule cong :premises (@p86 @p193) :args (@t43)) % 33.23/33.43 (step @p195 :rule cong :premises (@p194) :args (@t44)) % 33.23/33.43 (step @p196 :rule trans :premises (@p195 @p166)) % 33.23/33.43 (step @p197 :rule eq_resolve :premises (@p7 @p196)) % 33.23/33.43 (step @p198 :rule instantiate :premises (@p197) :args ((@list @t124 @t118 tptp.set_type @t120))) % 33.23/33.43 (step @p199 :rule bool-double-not-elim :args (@t129)) % 33.23/33.43 (step @p200 :rule nary_cong :premises (@p94 @p199) :args ((or @t131 (not @t130)))) % 33.23/33.43 (step @p201 :rule cnf_or_neg :args (@t131 0)) % 33.23/33.43 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 33.23/33.43 (step @p203 :rule reordering :premises (@p202) :args ((or @t129 @t131))) % 33.23/33.43 (step @p204 :rule chain_m_resolution :premises (@p203 @p92) :args (@t129 @t132 @t133)) % 33.23/33.43 (step @p205 :rule cnf_or_pos :args (@t205)) % 33.23/33.43 (step @p206 :rule reordering :premises (@p205) :args ((or @t130 @t128 @t204 (not @t205)))) % 33.23/33.43 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p99 @p198) :args (@t204 (@list false false false) (@list @t129 @t119 @t205))) % 33.23/33.43 (step @p208 :rule cnf_and_pos :args (@t204 1)) % 33.23/33.43 (step @p209 :rule reordering :premises (@p208) :args ((or @t203 (not @t204)))) % 33.23/33.43 (step @p210 :rule chain_m_resolution :premises (@p209 @p207) :args (@t203 @t206 (@list @t204))) % 33.23/33.43 (step @p211 :rule bool-double-not-elim :args (@t126)) % 33.23/33.43 (step @p212 :rule nary_cong :premises (@p94 @p211) :args ((or @t131 (not @t127)))) % 33.23/33.43 (step @p213 :rule cnf_or_neg :args (@t131 2)) % 33.23/33.43 (step @p214 :rule eq_resolve :premises (@p213 @p212)) % 33.23/33.43 (step @p215 :rule reordering :premises (@p214) :args ((or @t126 @t131))) % 33.23/33.43 (step @p216 :rule chain_m_resolution :premises (@p215 @p92) :args (@t126 @t132 @t133)) % 33.23/33.43 (step @p217 :rule cnf_or_pos :args (@t203)) % 33.23/33.43 (step @p218 :rule reordering :premises (@p217) :args ((or @t127 @t202 (not @t203)))) % 33.23/33.43 (step @p219 :rule chain_m_resolution :premises (@p218 @p216 @p210) :args (@t202 @t142 (@list @t126 @t203))) % 33.23/33.43 (step @p220 :rule cnf_or_pos :args (@t208)) % 33.23/33.43 (step @p221 :rule reordering :premises (@p220) :args ((or @t130 @t128 @t136 @t207 (not @t208)))) % 33.23/33.43 (step @p222 :rule chain_m_resolution :premises (@p221 @p204 @p99 @p219 @p152) :args (@t136 (@list false false false false) (@list @t129 @t119 @t202 @t208))) % 33.23/33.43 (step @p223 :rule cnf_and_neg :args (@t137)) % 33.23/33.43 (step @p224 :rule reordering :premises (@p223) :args ((or @t140 (not @t136) @t137))) % 33.23/33.43 (step @p225 :rule chain_m_resolution :premises (@p224 @p111 @p222) :args (@t137 @t142 (@list @t135 @t136))) % 33.23/33.43 (step @p226 :rule cnf_equiv_pos2 :args (@t139)) % 33.23/33.43 (step @p227 :rule reordering :premises (@p226) :args ((or @t138 (not @t137) (not @t139)))) % 33.23/33.43 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p114) :args (@t138 @t142 (@list @t137 @t139))) % 33.23/33.43 (step @p229 :rule cnf_or_neg :args (@t131 4)) % 33.23/33.43 (step @p230 :rule chain_m_resolution :premises (@p229 @p92) :args ((not @t121) @t132 @t133)) % 33.23/33.43 (step @p231 :rule aci_norm :args ((= (or @t213 (or @t212 @t209)) (or @t213 @t212 @t209)))) % 33.23/33.43 (step @p232 :rule refl :args (@t209)) % 33.23/33.43 (step @p233 :rule bool-or-de-morgan :args (@t211 @t210 false)) % 33.23/33.43 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or (not @t214) @t209))) % 33.23/33.43 (step @p235 :rule bool-impl-elim :args (@t214 @t209)) % 33.23/33.43 (step @p236 :rule trans :premises (@p235 @p234)) % 33.23/33.43 (step @p237 :rule refl :args (@t213)) % 33.23/33.43 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or @t213 @t215))) % 33.23/33.43 (step @p239 :rule trans :premises (@p238 @p231)) % 33.23/33.43 (step @p240 :rule bool-impl-elim :args (@t13 @t215)) % 33.23/33.43 (step @p241 :rule trans :premises (@p240 @p239)) % 33.23/33.43 (step @p242 :rule cong :premises (@p241) :args ((forall @t7 (=> @t13 @t215)))) % 33.23/33.43 (step @p243 :rule eq-symm :args (@t1 tptp.empty_set)) % 33.23/33.43 (step @p244 :rule eq-symm :args (@t9 tptp.empty_set)) % 33.23/33.43 (step @p245 :rule eq-symm :args (@t10 tptp.empty_set)) % 33.23/33.43 (step @p246 :rule nary_cong :premises (@p245 @p244) :args (@t11)) % 33.23/33.43 (step @p247 :rule cong :premises (@p246 @p243) :args (@t12)) % 33.23/33.43 (step @p248 :rule refl :args (@t13)) % 33.23/33.43 (step @p249 :rule cong :premises (@p248 @p247) :args (@t14)) % 33.23/33.43 (step @p250 :rule cong :premises (@p249) :args (@t15)) % 33.23/33.43 (step @p251 :rule trans :premises (@p250 @p242)) % 33.23/33.43 (step @p252 :rule eq_resolve :premises (@p2 @p251)) % 33.23/33.43 (step @p253 :rule instantiate :premises (@p252) :args (@t134)) % 33.23/33.43 (step @p254 :rule cnf_or_pos :args (@t222)) % 33.23/33.43 (step @p255 :rule reordering :premises (@p254) :args ((or @t121 @t221 @t220 (not @t222)))) % 33.23/33.43 (step @p256 :rule bool-impl-elim :args (@t13 @t50)) % 33.23/33.43 (step @p257 :rule cong :premises (@p256) :args (@t51)) % 33.23/33.43 (step @p258 :rule eq_resolve :premises (@p10 @p257)) % 33.23/33.43 (step @p259 :rule instantiate :premises (@p258) :args (@t134)) % 33.23/33.43 (step @p260 :rule cnf_or_pos :args (@t224)) % 33.23/33.43 (step @p261 :rule reordering :premises (@p260) :args ((or @t221 @t223 (not @t224)))) % 33.23/33.43 (step @p262 :rule cnf_and_pos :args (@t220 0)) % 33.23/33.43 (step @p263 :rule reordering :premises (@p262) :args ((or @t219 (not @t220)))) % 33.23/33.43 (step @p264 :rule aci_norm :args ((= (or @t85 (or @t225 @t209)) (or @t85 @t225 @t209)))) % 33.23/33.43 (step @p265 :rule bool-impl-elim :args (@t3 @t209)) % 33.23/33.43 (step @p266 :rule nary_cong :premises (@p41 @p265) :args ((or @t85 @t226))) % 33.23/33.43 (step @p267 :rule trans :premises (@p266 @p264)) % 33.23/33.43 (step @p268 :rule bool-impl-elim :args (@t5 @t226)) % 33.23/33.43 (step @p269 :rule trans :premises (@p268 @p267)) % 33.23/33.43 (step @p270 :rule cong :premises (@p269) :args ((forall @t7 (=> @t5 @t226)))) % 33.23/33.43 (step @p271 :rule refl :args (@t3)) % 33.23/33.43 (step @p272 :rule cong :premises (@p271 @p243) :args (@t4)) % 33.23/33.43 (step @p273 :rule cong :premises (@p86 @p272) :args (@t6)) % 33.23/33.43 (step @p274 :rule cong :premises (@p273) :args (@t8)) % 33.23/33.43 (step @p275 :rule trans :premises (@p274 @p270)) % 33.23/33.43 (step @p276 :rule eq_resolve :premises (@p1 @p275)) % 33.23/33.43 (step @p277 :rule instantiate :premises (@p276) :args ((@list @t217))) % 33.23/33.43 (step @p278 :rule cnf_or_pos :args (@t230)) % 33.23/33.43 (step @p279 :rule reordering :premises (@p278) :args ((or @t218 @t229 @t228 (not @t230)))) % 33.23/33.43 (step @p280 :rule chain_m_resolution :premises (@p279 @p277 @p263 @p261 @p259 @p255 @p253 @p230) :args ((or @t221 @t228) (@list false true false false false false true) (@list @t230 @t218 @t223 @t224 @t220 @t222 @t121))) % 33.23/33.43 (step @p281 :rule chain_m_resolution :premises (@p280 @p228) :args (@t228 @t206 (@list @t138))) % 33.23/33.43 (step @p282 :rule cnf_and_pos :args (@t231 0)) % 33.23/33.43 (step @p283 :rule reordering :premises (@p282) :args ((or @t227 @t232))) % 33.23/33.43 (step @p284 :rule chain_m_resolution :premises (@p283 @p281) :args (@t232 @t132 (@list @t227))) % 33.23/33.43 (step @p285 :rule aci_norm :args ((= @t239 (or @t85 @t237 @t236 @t235)))) % 33.23/33.43 (step @p286 :rule cong :premises (@p285) :args (@t240)) % 33.23/33.43 (step @p287 :rule quant-merge-prenex :args ((= (forall @t7 @t242) @t240))) % 33.23/33.43 (step @p288 :rule alpha_equiv :args (@t243 (@list @t233 @t234) (@list @t16 @t244))) % 33.23/33.43 (step @p289 :rule nary_cong :premises (@p41 @p288) :args (@t245)) % 33.23/33.43 (step @p290 :rule quant-miniscope-or :args ((= @t242 @t245))) % 33.23/33.43 (step @p291 :rule trans :premises (@p290 @p289)) % 33.23/33.43 (step @p292 :rule symm :premises (@p291)) % 33.23/33.43 (step @p293 :rule cong :premises (@p292) :args ((forall @t7 (or @t85 @t250)))) % 33.23/33.43 (step @p294 :rule trans :premises (@p293 @p287)) % 33.23/33.43 (step @p295 :rule trans :premises (@p294 @p286)) % 33.23/33.43 (step @p296 :rule bool-impl-elim :args (@t5 @t250)) % 33.23/33.43 (step @p297 :rule cong :premises (@p296) :args ((forall @t7 (=> @t5 @t250)))) % 33.23/33.43 (step @p298 :rule trans :premises (@p297 @p295)) % 33.23/33.43 (step @p299 :rule aci_norm :args ((= @t252 @t248))) % 33.23/33.43 (step @p300 :rule cong :premises (@p299) :args (@t253)) % 33.23/33.43 (step @p301 :rule quant-merge-prenex :args ((= (forall @t27 @t255) @t253))) % 33.23/33.43 (step @p302 :rule alpha_equiv :args (@t256 (@list @t244) @t109)) % 33.23/33.43 (step @p303 :rule nary_cong :premises (@p56 @p302) :args (@t257)) % 33.23/33.43 (step @p304 :rule quant-miniscope-or :args ((= @t255 @t257))) % 33.23/33.43 (step @p305 :rule trans :premises (@p304 @p303)) % 33.23/33.43 (step @p306 :rule symm :premises (@p305)) % 33.23/33.43 (step @p307 :rule cong :premises (@p306) :args ((forall @t27 (or @t99 @t258)))) % 33.23/33.43 (step @p308 :rule trans :premises (@p307 @p301)) % 33.23/33.43 (step @p309 :rule trans :premises (@p308 @p300)) % 33.23/33.43 (step @p310 :rule bool-impl-elim :args (@t25 @t258)) % 33.23/33.43 (step @p311 :rule cong :premises (@p310) :args ((forall @t27 (=> @t25 @t258)))) % 33.23/33.43 (step @p312 :rule trans :premises (@p311 @p309)) % 33.23/33.43 (step @p313 :rule bool-impl-elim :args (@t22 @t20)) % 33.23/33.43 (step @p314 :rule cong :premises (@p313) :args (@t24)) % 33.23/33.43 (step @p315 :rule cong :premises (@p82 @p314) :args (@t26)) % 33.23/33.43 (step @p316 :rule cong :premises (@p315) :args (@t28)) % 33.23/33.43 (step @p317 :rule trans :premises (@p316 @p312)) % 33.23/33.43 (step @p318 :rule cong :premises (@p86 @p317) :args (@t29)) % 33.23/33.43 (step @p319 :rule cong :premises (@p318) :args (@t30)) % 33.23/33.43 (step @p320 :rule trans :premises (@p319 @p298)) % 33.23/33.43 (step @p321 :rule eq_resolve :premises (@p3 @p320)) % 33.23/33.43 (step @p322 :rule instantiate :premises (@p321) :args ((@list tptp.empty_set @t118 @t120))) % 33.23/33.43 (step @p323 :rule cnf_or_pos :args (@t261)) % 33.23/33.43 (step @p324 :rule reordering :premises (@p323) :args ((or @t128 @t123 @t260 @t231 (not @t261)))) % 33.23/33.43 (step @p325 false :rule chain_m_resolution :premises (@p324 @p322 @p284 @p106 @p105 @p99) :args (false (@list false true false false false) (@list @t261 @t231 @t259 @t122 @t119))) % 33.23/33.43 ) % 33.23/33.43 % SZS output end Proof % 33.23/33.43 % cvc5 exiting %------------------------------------------------------------------------------