%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET640+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 08:48:20 AM UTC 2026 % Result : Theorem 19.14s 19.31s % Output : Proof 19.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET640+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.34 % Computer : n005.cluster.edu % 0.19/0.34 % Model : x86_64 x86_64 % 0.19/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.34 % Memory : 8042.1875MB % 0.19/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.34 % CPULimit : 300 % 0.19/0.34 % WCLimit : 300 % 0.19/0.34 % DateTime : Tue Jun 2 16:05:33 EDT 2026 % 0.19/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 19.14/19.31 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 19.14/19.31 --- Run --no-e-matching --full-saturate-quant at 6... % 19.14/19.31 % SZS status Theorem % 19.14/19.31 % SZS output start Proof % 19.14/19.31 ( % 19.14/19.31 (declare-sort $$unsorted 0) % 19.14/19.31 (declare-const tptp.empty (-> $$unsorted Bool)) % 19.14/19.31 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 19.14/19.31 (declare-const tptp.relation_type (-> $$unsorted $$unsorted $$unsorted)) % 19.14/19.31 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 19.14/19.31 (declare-const tptp.relation_like (-> $$unsorted Bool)) % 19.14/19.31 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 19.14/19.31 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 19.14/19.31 (declare-const tptp.member_type (-> $$unsorted $$unsorted)) % 19.14/19.31 (declare-const tptp.ilf_type (-> $$unsorted $$unsorted Bool)) % 19.14/19.31 (declare-const tptp.subset_type (-> $$unsorted $$unsorted)) % 19.14/19.31 (declare-const tptp.set_type $$unsorted) % 19.14/19.31 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 19.14/19.31 (define @t1 () (@var "D" $$unsorted)) % 19.14/19.31 (define @t2 () (@var "B" $$unsorted)) % 19.14/19.31 (define @t3 () (tptp.subset @t2 @t1)) % 19.14/19.31 (define @t4 () (@var "C" $$unsorted)) % 19.14/19.31 (define @t5 () (tptp.subset @t4 @t1)) % 19.14/19.31 (define @t6 () (tptp.subset @t2 @t4)) % 19.14/19.31 (define @t7 () (and @t6 @t5)) % 19.14/19.31 (define @t8 () (=> @t7 @t3)) % 19.14/19.31 (define @t9 () (tptp.ilf_type @t1 tptp.set_type)) % 19.14/19.31 (define @t10 () (@list @t1)) % 19.14/19.31 (define @t11 () (forall @t10 (=> @t9 @t8))) % 19.14/19.31 (define @t12 () (tptp.ilf_type @t4 tptp.set_type)) % 19.14/19.31 (define @t13 () (=> @t12 @t11)) % 19.14/19.31 (define @t14 () (@list @t4)) % 19.14/19.31 (define @t15 () (forall @t14 @t13)) % 19.14/19.31 (define @t16 () (tptp.ilf_type @t2 tptp.set_type)) % 19.14/19.31 (define @t17 () (=> @t16 @t15)) % 19.14/19.31 (define @t18 () (@list @t2)) % 19.14/19.31 (define @t19 () (forall @t18 @t17)) % 19.14/19.31 (define @t20 () (@var "F" $$unsorted)) % 19.14/19.31 (define @t21 () (@var "E" $$unsorted)) % 19.14/19.31 (define @t22 () (tptp.ilf_type @t21 tptp.set_type)) % 19.14/19.31 (define @t23 () (@list @t21)) % 19.14/19.31 (define @t24 () (tptp.cross_product @t2 @t4)) % 19.14/19.31 (define @t25 () (tptp.subset_type @t24)) % 19.14/19.31 (define @t26 () (tptp.ilf_type @t21 @t25)) % 19.14/19.31 (define @t27 () (tptp.relation_type @t2 @t4)) % 19.14/19.31 (define @t28 () (tptp.ilf_type @t21 @t27)) % 19.14/19.31 (define @t29 () (forall @t23 (=> @t28 @t26))) % 19.14/19.31 (define @t30 () (tptp.ilf_type @t1 @t27)) % 19.14/19.31 (define @t31 () (tptp.ilf_type @t1 @t25)) % 19.14/19.31 (define @t32 () (forall @t10 (=> @t31 @t30))) % 19.14/19.31 (define @t33 () (and @t32 @t29)) % 19.14/19.31 (define @t34 () (=> @t12 @t33)) % 19.14/19.31 (define @t35 () (forall @t14 @t34)) % 19.14/19.31 (define @t36 () (=> @t16 @t35)) % 19.14/19.31 (define @t37 () (forall @t18 @t36)) % 19.14/19.31 (define @t38 () (tptp.member @t1 @t4)) % 19.14/19.31 (define @t39 () (tptp.member @t1 @t2)) % 19.14/19.31 (define @t40 () (=> @t39 @t38)) % 19.14/19.31 (define @t41 () (forall @t10 (=> @t9 @t40))) % 19.14/19.31 (define @t42 () (= @t6 @t41)) % 19.14/19.31 (define @t43 () (=> @t12 @t42)) % 19.14/19.31 (define @t44 () (forall @t14 @t43)) % 19.14/19.31 (define @t45 () (=> @t16 @t44)) % 19.14/19.31 (define @t46 () (forall @t18 @t45)) % 19.14/19.31 (define @t47 () (tptp.power_set @t2)) % 19.14/19.31 (define @t48 () (tptp.member_type @t47)) % 19.14/19.31 (define @t49 () (tptp.subset_type @t2)) % 19.14/19.31 (define @t50 () (tptp.ilf_type @t4 @t49)) % 19.14/19.31 (define @t51 () (= @t50 (tptp.ilf_type @t4 @t48))) % 19.14/19.31 (define @t52 () (forall @t14 (=> @t12 @t51))) % 19.14/19.31 (define @t53 () (=> @t16 @t52)) % 19.14/19.31 (define @t54 () (forall @t18 @t53)) % 19.14/19.31 (define @t55 () (tptp.member @t2 (tptp.power_set @t4))) % 19.14/19.31 (define @t56 () (=> @t12 (= @t55 @t41))) % 19.14/19.31 (define @t57 () (forall @t14 @t56)) % 19.14/19.31 (define @t58 () (=> @t16 @t57)) % 19.14/19.31 (define @t59 () (forall @t18 @t58)) % 19.14/19.31 (define @t60 () (and (not (tptp.empty @t47)) (tptp.ilf_type @t47 tptp.set_type))) % 19.14/19.31 (define @t61 () (forall @t18 (=> @t16 @t60))) % 19.14/19.31 (define @t62 () (= (tptp.ilf_type @t2 (tptp.member_type @t4)) (tptp.member @t2 @t4))) % 19.14/19.31 (define @t63 () (tptp.empty @t4)) % 19.14/19.31 (define @t64 () (not @t63)) % 19.14/19.31 (define @t65 () (and @t64 @t12)) % 19.14/19.31 (define @t66 () (forall @t14 (=> @t65 @t62))) % 19.14/19.31 (define @t67 () (=> @t16 @t66)) % 19.14/19.31 (define @t68 () (forall @t18 @t67)) % 19.14/19.31 (define @t69 () (tptp.empty @t2)) % 19.14/19.31 (define @t70 () (tptp.member @t4 @t2)) % 19.14/19.31 (define @t71 () (tptp.relation_like @t2)) % 19.14/19.31 (define @t72 () (tptp.subset @t2 (tptp.cross_product @t4 @t1))) % 19.14/19.31 (define @t73 () (tptp.subset @t2 @t21)) % 19.14/19.31 (define @t74 () (=> @t73 @t72)) % 19.14/19.31 (define @t75 () (tptp.relation_type @t4 @t1)) % 19.14/19.31 (define @t76 () (tptp.ilf_type @t21 @t75)) % 19.14/19.31 (define @t77 () (forall @t23 (=> @t76 @t74))) % 19.14/19.31 (define @t78 () (=> @t9 @t77)) % 19.14/19.31 (define @t79 () (forall @t10 @t78)) % 19.14/19.31 (define @t80 () (=> @t12 @t79)) % 19.14/19.31 (define @t81 () (forall @t14 @t80)) % 19.14/19.31 (define @t82 () (=> @t16 @t81)) % 19.14/19.31 (define @t83 () (forall @t18 @t82)) % 19.14/19.31 (define @t84 () (not @t83)) % 19.14/19.31 (define @t85 () (@var "BOUND_VARIABLE_8151" $$unsorted)) % 19.14/19.31 (define @t86 () (not (tptp.subset @t2 @t85))) % 19.14/19.31 (define @t87 () (@var "BOUND_VARIABLE_8149" $$unsorted)) % 19.14/19.31 (define @t88 () (@var "BOUND_VARIABLE_8147" $$unsorted)) % 19.14/19.31 (define @t89 () (not (tptp.ilf_type @t85 (tptp.relation_type @t88 @t87)))) % 19.14/19.31 (define @t90 () (tptp.subset @t2 (tptp.cross_product @t88 @t87))) % 19.14/19.31 (define @t91 () (not (tptp.ilf_type @t87 tptp.set_type))) % 19.14/19.31 (define @t92 () (not (tptp.ilf_type @t88 tptp.set_type))) % 19.14/19.31 (define @t93 () (not @t16)) % 19.14/19.31 (define @t94 () (or @t93 @t92 @t91 @t90 @t89 @t86)) % 19.14/19.31 (define @t95 () (or @t92 @t91 @t90 @t89 @t86)) % 19.14/19.31 (define @t96 () (or @t93 @t95)) % 19.14/19.31 (define @t97 () (@list @t2 @t88 @t87 @t85)) % 19.14/19.31 (define @t98 () (forall @t97 @t96)) % 19.14/19.31 (define @t99 () (@list @t88 @t87 @t85)) % 19.14/19.31 (define @t100 () (forall @t99 @t96)) % 19.14/19.31 (define @t101 () (forall @t99 @t95)) % 19.14/19.31 (define @t102 () (@var "BOUND_VARIABLE_8126" $$unsorted)) % 19.14/19.31 (define @t103 () (@var "BOUND_VARIABLE_8124" $$unsorted)) % 19.14/19.31 (define @t104 () (or @t93 @t101)) % 19.14/19.31 (define @t105 () (not (tptp.subset @t2 @t102))) % 19.14/19.31 (define @t106 () (not (tptp.ilf_type @t102 (tptp.relation_type @t4 @t103)))) % 19.14/19.31 (define @t107 () (tptp.subset @t2 (tptp.cross_product @t4 @t103))) % 19.14/19.31 (define @t108 () (not (tptp.ilf_type @t103 tptp.set_type))) % 19.14/19.31 (define @t109 () (not @t12)) % 19.14/19.31 (define @t110 () (or @t109 @t108 @t107 @t106 @t105)) % 19.14/19.31 (define @t111 () (@list @t4 @t103 @t102)) % 19.14/19.31 (define @t112 () (forall @t111 @t110)) % 19.14/19.31 (define @t113 () (or @t108 @t107 @t106 @t105)) % 19.14/19.31 (define @t114 () (or @t109 @t113)) % 19.14/19.31 (define @t115 () (forall @t111 @t114)) % 19.14/19.31 (define @t116 () (@list @t103 @t102)) % 19.14/19.31 (define @t117 () (forall @t116 @t114)) % 19.14/19.31 (define @t118 () (forall @t116 @t113)) % 19.14/19.31 (define @t119 () (@var "BOUND_VARIABLE_8108" $$unsorted)) % 19.14/19.31 (define @t120 () (or @t109 @t118)) % 19.14/19.31 (define @t121 () (not (tptp.subset @t2 @t119))) % 19.14/19.31 (define @t122 () (not (tptp.ilf_type @t119 @t75))) % 19.14/19.31 (define @t123 () (not @t9)) % 19.14/19.31 (define @t124 () (or @t123 @t72 @t122 @t121)) % 19.14/19.31 (define @t125 () (@list @t1 @t119)) % 19.14/19.31 (define @t126 () (forall @t125 @t124)) % 19.14/19.31 (define @t127 () (or @t122 @t121)) % 19.14/19.31 (define @t128 () (or @t123 @t72 @t127)) % 19.14/19.31 (define @t129 () (forall @t125 @t128)) % 19.14/19.31 (define @t130 () (@list @t119)) % 19.14/19.31 (define @t131 () (forall @t130 @t128)) % 19.14/19.31 (define @t132 () (forall @t130 @t127)) % 19.14/19.31 (define @t133 () (@list @t21)) % 19.14/19.31 (define @t134 () (or @t123 @t72 @t132)) % 19.14/19.31 (define @t135 () (not @t73)) % 19.14/19.31 (define @t136 () (not @t76)) % 19.14/19.31 (define @t137 () (or @t136 @t135)) % 19.14/19.31 (define @t138 () (forall @t23 @t137)) % 19.14/19.31 (define @t139 () (or @t123 @t72 @t138)) % 19.14/19.31 (define @t140 () (or @t72 @t138)) % 19.14/19.31 (define @t141 () (or @t72 @t137)) % 19.14/19.31 (define @t142 () (or @t136 @t135 @t72)) % 19.14/19.31 (define @t143 () (forall @t97 @t94)) % 19.14/19.31 (define @t144 () (@quantifiers_skolemize @t143 1)) % 19.14/19.31 (define @t145 () (tptp.ilf_type @t144 tptp.set_type)) % 19.14/19.31 (define @t146 () (@quantifiers_skolemize @t143 3)) % 19.14/19.31 (define @t147 () (@quantifiers_skolemize @t143 0)) % 19.14/19.31 (define @t148 () (tptp.subset @t147 @t146)) % 19.14/19.31 (define @t149 () (not @t148)) % 19.14/19.31 (define @t150 () (@quantifiers_skolemize @t143 2)) % 19.14/19.31 (define @t151 () (tptp.relation_type @t144 @t150)) % 19.14/19.31 (define @t152 () (tptp.ilf_type @t146 @t151)) % 19.14/19.31 (define @t153 () (not @t152)) % 19.14/19.31 (define @t154 () (tptp.cross_product @t144 @t150)) % 19.14/19.31 (define @t155 () (tptp.subset @t147 @t154)) % 19.14/19.31 (define @t156 () (tptp.ilf_type @t150 tptp.set_type)) % 19.14/19.31 (define @t157 () (not @t156)) % 19.14/19.31 (define @t158 () (not @t145)) % 19.14/19.31 (define @t159 () (tptp.ilf_type @t147 tptp.set_type)) % 19.14/19.31 (define @t160 () (not @t159)) % 19.14/19.31 (define @t161 () (or @t160 @t158 @t157 @t155 @t153 @t149)) % 19.14/19.31 (define @t162 () (@list true)) % 19.14/19.31 (define @t163 () (@list @t161)) % 19.14/19.31 (define @t164 () (@var "BOUND_VARIABLE_7806" $$unsorted)) % 19.14/19.31 (define @t165 () (tptp.subset_type (tptp.cross_product @t2 @t164))) % 19.14/19.31 (define @t166 () (@var "BOUND_VARIABLE_7810" $$unsorted)) % 19.14/19.31 (define @t167 () (tptp.relation_type @t2 @t164)) % 19.14/19.31 (define @t168 () (@var "BOUND_VARIABLE_7808" $$unsorted)) % 19.14/19.31 (define @t169 () (and (or (not (tptp.ilf_type @t168 @t165)) (tptp.ilf_type @t168 @t167)) (or (not (tptp.ilf_type @t166 @t167)) (tptp.ilf_type @t166 @t165)))) % 19.14/19.31 (define @t170 () (not (tptp.ilf_type @t164 tptp.set_type))) % 19.14/19.31 (define @t171 () (or @t170 @t169)) % 19.14/19.31 (define @t172 () (or @t93 @t171)) % 19.14/19.31 (define @t173 () (forall (@list @t2 @t164 @t168 @t166) @t172)) % 19.14/19.31 (define @t174 () (@list @t164 @t168 @t166)) % 19.14/19.31 (define @t175 () (forall @t174 @t172)) % 19.14/19.31 (define @t176 () (forall @t174 @t171)) % 19.14/19.31 (define @t177 () (@var "BOUND_VARIABLE_7792" $$unsorted)) % 19.14/19.31 (define @t178 () (@var "BOUND_VARIABLE_7786" $$unsorted)) % 19.14/19.31 (define @t179 () (or @t93 @t176)) % 19.14/19.31 (define @t180 () (or (not (tptp.ilf_type @t177 @t27)) (tptp.ilf_type @t177 @t25))) % 19.14/19.31 (define @t181 () (or (not (tptp.ilf_type @t178 @t25)) (tptp.ilf_type @t178 @t27))) % 19.14/19.31 (define @t182 () (and @t181 @t180)) % 19.14/19.31 (define @t183 () (or @t109 @t182)) % 19.14/19.31 (define @t184 () (forall (@list @t4 @t178 @t177) @t183)) % 19.14/19.31 (define @t185 () (@list @t178 @t177)) % 19.14/19.31 (define @t186 () (forall @t185 @t183)) % 19.14/19.31 (define @t187 () (forall (@list @t177) @t180)) % 19.14/19.31 (define @t188 () (forall @t185 @t180)) % 19.14/19.31 (define @t189 () (forall (@list @t178) @t181)) % 19.14/19.31 (define @t190 () (@list @t1)) % 19.14/19.31 (define @t191 () (forall @t185 @t181)) % 19.14/19.31 (define @t192 () (and @t191 @t188)) % 19.14/19.31 (define @t193 () (forall @t185 @t182)) % 19.14/19.31 (define @t194 () (or @t109 @t193)) % 19.14/19.31 (define @t195 () (and (forall @t10 (or (not @t31) @t30)) (forall @t23 (or (not @t28) @t26)))) % 19.14/19.31 (define @t196 () (@var "BOUND_VARIABLE_7914" $$unsorted)) % 19.14/19.31 (define @t197 () (= (tptp.ilf_type @t196 @t49) (tptp.ilf_type @t196 @t48))) % 19.14/19.31 (define @t198 () (not (tptp.ilf_type @t196 tptp.set_type))) % 19.14/19.31 (define @t199 () (or @t198 @t197)) % 19.14/19.31 (define @t200 () (or @t93 @t199)) % 19.14/19.31 (define @t201 () (forall (@list @t2 @t196) @t200)) % 19.14/19.31 (define @t202 () (@list @t196)) % 19.14/19.31 (define @t203 () (forall @t202 @t200)) % 19.14/19.31 (define @t204 () (forall @t202 @t199)) % 19.14/19.31 (define @t205 () (@list @t4)) % 19.14/19.31 (define @t206 () (or @t93 @t204)) % 19.14/19.31 (define @t207 () (forall @t14 (or @t109 @t51))) % 19.14/19.31 (define @t208 () (@list @t154)) % 19.14/19.31 (define @t209 () (tptp.power_set @t154)) % 19.14/19.31 (define @t210 () (tptp.ilf_type @t146 (tptp.member_type @t209))) % 19.14/19.31 (define @t211 () (tptp.subset_type @t154)) % 19.14/19.31 (define @t212 () (tptp.ilf_type @t146 @t211)) % 19.14/19.31 (define @t213 () (= @t212 @t210)) % 19.14/19.31 (define @t214 () (tptp.ilf_type @t146 tptp.set_type)) % 19.14/19.31 (define @t215 () (not @t214)) % 19.14/19.31 (define @t216 () (tptp.ilf_type @t154 tptp.set_type)) % 19.14/19.31 (define @t217 () (not @t216)) % 19.14/19.31 (define @t218 () (or @t217 @t215 @t213)) % 19.14/19.31 (define @t219 () (@list false false false)) % 19.14/19.31 (define @t220 () (@var "BOUND_VARIABLE_7978" $$unsorted)) % 19.14/19.31 (define @t221 () (= (tptp.ilf_type @t2 (tptp.member_type @t220)) (tptp.member @t2 @t220))) % 19.14/19.31 (define @t222 () (not (tptp.ilf_type @t220 tptp.set_type))) % 19.14/19.31 (define @t223 () (tptp.empty @t220)) % 19.14/19.31 (define @t224 () (or @t93 @t223 @t222 @t221)) % 19.14/19.31 (define @t225 () (or @t223 @t222 @t221)) % 19.14/19.31 (define @t226 () (or @t93 @t225)) % 19.14/19.31 (define @t227 () (@list @t2 @t220)) % 19.14/19.31 (define @t228 () (forall @t227 @t226)) % 19.14/19.31 (define @t229 () (@list @t220)) % 19.14/19.31 (define @t230 () (forall @t229 @t226)) % 19.14/19.31 (define @t231 () (forall @t229 @t225)) % 19.14/19.31 (define @t232 () (or @t93 @t231)) % 19.14/19.31 (define @t233 () (or @t63 @t109 @t62)) % 19.14/19.31 (define @t234 () (forall @t14 @t233)) % 19.14/19.31 (define @t235 () (tptp.member @t146 @t209)) % 19.14/19.31 (define @t236 () (tptp.ilf_type @t209 tptp.set_type)) % 19.14/19.31 (define @t237 () (not @t236)) % 19.14/19.31 (define @t238 () (tptp.empty @t209)) % 19.14/19.31 (define @t239 () (or @t215 @t238 @t237 (= @t210 @t235))) % 19.14/19.31 (define @t240 () (forall @t227 @t224)) % 19.14/19.31 (define @t241 () (= @t235 @t210)) % 19.14/19.31 (define @t242 () (or @t215 @t238 @t237 @t241)) % 19.14/19.31 (define @t243 () (@list false)) % 19.14/19.31 (define @t244 () (not @t238)) % 19.14/19.31 (define @t245 () (and @t244 @t236)) % 19.14/19.31 (define @t246 () (or @t217 @t245)) % 19.14/19.31 (define @t247 () (not @t245)) % 19.14/19.31 (define @t248 () (@list @t245)) % 19.14/19.31 (define @t249 () (@var "BOUND_VARIABLE_7950" $$unsorted)) % 19.14/19.31 (define @t250 () (not @t39)) % 19.14/19.31 (define @t251 () (= (tptp.member @t2 (tptp.power_set @t249)) (forall @t10 (or @t123 @t250 (tptp.member @t1 @t249))))) % 19.14/19.31 (define @t252 () (not (tptp.ilf_type @t249 tptp.set_type))) % 19.14/19.31 (define @t253 () (or @t93 @t252 @t251)) % 19.14/19.31 (define @t254 () (or @t252 @t251)) % 19.14/19.31 (define @t255 () (or @t93 @t254)) % 19.14/19.31 (define @t256 () (@list @t2 @t249)) % 19.14/19.31 (define @t257 () (forall @t256 @t255)) % 19.14/19.31 (define @t258 () (@list @t249)) % 19.14/19.31 (define @t259 () (forall @t258 @t255)) % 19.14/19.31 (define @t260 () (forall @t258 @t254)) % 19.14/19.31 (define @t261 () (or @t93 @t260)) % 19.14/19.31 (define @t262 () (or @t123 @t250 @t38)) % 19.14/19.31 (define @t263 () (forall @t10 @t262)) % 19.14/19.31 (define @t264 () (= @t55 @t263)) % 19.14/19.31 (define @t265 () (forall @t14 (or @t109 @t264))) % 19.14/19.31 (define @t266 () (forall @t10 (or @t123 (not (tptp.member @t1 @t146)) (tptp.member @t1 @t154)))) % 19.14/19.31 (define @t267 () (or @t215 @t217 (= @t235 @t266))) % 19.14/19.31 (define @t268 () (forall @t256 @t253)) % 19.14/19.31 (define @t269 () (@list @t146 @t154)) % 19.14/19.31 (define @t270 () (= @t266 @t235)) % 19.14/19.31 (define @t271 () (or @t215 @t217 @t270)) % 19.14/19.31 (define @t272 () (@var "BOUND_VARIABLE_7873" $$unsorted)) % 19.14/19.31 (define @t273 () (= (tptp.subset @t2 @t272) (forall @t10 (or @t123 @t250 (tptp.member @t1 @t272))))) % 19.14/19.31 (define @t274 () (not (tptp.ilf_type @t272 tptp.set_type))) % 19.14/19.31 (define @t275 () (or @t274 @t273)) % 19.14/19.31 (define @t276 () (or @t93 @t275)) % 19.14/19.31 (define @t277 () (forall (@list @t2 @t272) @t276)) % 19.14/19.31 (define @t278 () (@list @t272)) % 19.14/19.31 (define @t279 () (forall @t278 @t276)) % 19.14/19.31 (define @t280 () (forall @t278 @t275)) % 19.14/19.31 (define @t281 () (or @t93 @t280)) % 19.14/19.31 (define @t282 () (= @t6 @t263)) % 19.14/19.31 (define @t283 () (forall @t14 (or @t109 @t282))) % 19.14/19.31 (define @t284 () (tptp.subset @t146 @t154)) % 19.14/19.31 (define @t285 () (= @t284 @t266)) % 19.14/19.31 (define @t286 () (or @t215 @t217 @t285)) % 19.14/19.31 (define @t287 () (@var "BOUND_VARIABLE_7639" $$unsorted)) % 19.14/19.31 (define @t288 () (tptp.subset @t2 @t287)) % 19.14/19.31 (define @t289 () (@var "BOUND_VARIABLE_7637" $$unsorted)) % 19.14/19.31 (define @t290 () (not (tptp.subset @t289 @t287))) % 19.14/19.31 (define @t291 () (not (tptp.ilf_type @t287 tptp.set_type))) % 19.14/19.31 (define @t292 () (not (tptp.subset @t2 @t289))) % 19.14/19.31 (define @t293 () (not (tptp.ilf_type @t289 tptp.set_type))) % 19.14/19.31 (define @t294 () (or @t293 @t292 @t291 @t290 @t288)) % 19.14/19.31 (define @t295 () (or @t93 @t294)) % 19.14/19.31 (define @t296 () (forall (@list @t2 @t289 @t287) @t295)) % 19.14/19.31 (define @t297 () (@list @t289 @t287)) % 19.14/19.31 (define @t298 () (forall @t297 @t295)) % 19.14/19.31 (define @t299 () (forall @t297 @t294)) % 19.14/19.31 (define @t300 () (@var "BOUND_VARIABLE_7619" $$unsorted)) % 19.14/19.31 (define @t301 () (or @t93 @t299)) % 19.14/19.31 (define @t302 () (tptp.subset @t2 @t300)) % 19.14/19.31 (define @t303 () (not (tptp.subset @t4 @t300))) % 19.14/19.31 (define @t304 () (not (tptp.ilf_type @t300 tptp.set_type))) % 19.14/19.31 (define @t305 () (not @t6)) % 19.14/19.31 (define @t306 () (or @t109 @t305 @t304 @t303 @t302)) % 19.14/19.31 (define @t307 () (@list @t4 @t300)) % 19.14/19.31 (define @t308 () (forall @t307 @t306)) % 19.14/19.31 (define @t309 () (or @t304 @t303 @t302)) % 19.14/19.31 (define @t310 () (or @t109 @t305 @t309)) % 19.14/19.31 (define @t311 () (forall @t307 @t310)) % 19.14/19.31 (define @t312 () (@list @t300)) % 19.14/19.31 (define @t313 () (forall @t312 @t310)) % 19.14/19.31 (define @t314 () (forall @t312 @t309)) % 19.14/19.31 (define @t315 () (or @t109 @t305 @t314)) % 19.14/19.31 (define @t316 () (not @t5)) % 19.14/19.31 (define @t317 () (or @t123 @t316 @t3)) % 19.14/19.31 (define @t318 () (forall @t10 @t317)) % 19.14/19.31 (define @t319 () (or @t109 @t305 @t318)) % 19.14/19.31 (define @t320 () (or @t305 @t318)) % 19.14/19.31 (define @t321 () (or @t305 @t317)) % 19.14/19.31 (define @t322 () (or @t123 @t305 @t316 @t3)) % 19.14/19.31 (define @t323 () (or @t305 @t316 @t3)) % 19.14/19.31 (define @t324 () (not @t284)) % 19.14/19.31 (define @t325 () (or @t160 @t215 @t149 @t217 @t324 @t155)) % 19.14/19.31 (define @t326 () (not @t266)) % 19.14/19.31 (define @t327 () (@list true false)) % 19.14/19.31 (define @t328 () (not @t235)) % 19.14/19.31 (define @t329 () (not @t210)) % 19.14/19.31 (define @t330 () (not @t212)) % 19.14/19.31 (define @t331 () (or @t153 @t212)) % 19.14/19.31 (define @t332 () (not @t331)) % 19.14/19.31 (define @t333 () (and (or (not (tptp.ilf_type tptp.set_type @t211)) (tptp.ilf_type tptp.set_type @t151)) @t331)) % 19.14/19.31 (define @t334 () (not @t333)) % 19.14/19.31 (define @t335 () (or @t158 @t157 @t333)) % 19.14/19.31 (assume @p1 @t19) % 19.14/19.31 (assume @p2 (forall @t18 (=> @t16 (forall @t14 (=> @t12 (forall @t10 (=> @t9 (= (tptp.member @t1 @t24) (exists @t23 (and @t22 (exists (@list @t20) (and (tptp.ilf_type @t20 tptp.set_type) (tptp.member @t21 @t2) (tptp.member @t20 @t4) (= @t1 (tptp.ordered_pair @t21 @t20)))))))))))))) % 19.14/19.31 (assume @p3 (forall @t18 (=> @t16 (forall @t14 (=> @t12 (tptp.ilf_type @t24 tptp.set_type)))))) % 19.14/19.31 (assume @p4 @t37) % 19.14/19.31 (assume @p5 (forall @t18 (=> @t16 (forall @t14 (=> @t12 (exists @t10 (tptp.ilf_type @t1 (tptp.relation_type @t4 @t2)))))))) % 19.14/19.31 (assume @p6 @t46) % 19.14/19.31 (assume @p7 (forall @t18 (=> @t16 (forall @t14 (=> @t12 (tptp.ilf_type (tptp.ordered_pair @t2 @t4) tptp.set_type)))))) % 19.14/19.31 (assume @p8 @t54) % 19.14/19.31 (assume @p9 (forall @t18 (=> @t16 (exists @t14 @t50)))) % 19.14/19.31 (assume @p10 (forall @t18 (=> @t16 (tptp.subset @t2 @t2)))) % 19.14/19.31 (assume @p11 @t59) % 19.14/19.31 (assume @p12 @t61) % 19.14/19.31 (assume @p13 @t68) % 19.14/19.31 (assume @p14 (forall @t18 (=> (and (not @t69) @t16) (exists @t14 (tptp.ilf_type @t4 (tptp.member_type @t2)))))) % 19.14/19.31 (assume @p15 (forall @t18 (=> @t16 (= @t69 (forall @t14 (=> @t12 (not @t70))))))) % 19.14/19.31 (assume @p16 (forall @t18 (=> @t16 (= @t71 (forall @t14 (=> @t12 (=> @t70 (exists @t10 (and @t9 (exists @t23 (and @t22 (= @t4 (tptp.ordered_pair @t1 @t21))))))))))))) % 19.14/19.31 (assume @p17 (forall @t18 (=> (and @t69 @t16) @t71))) % 19.14/19.31 (assume @p18 (forall @t18 (=> @t16 (forall @t14 (=> @t12 (forall @t10 (=> @t31 (tptp.relation_like @t1)))))))) % 19.14/19.31 (assume @p19 (forall @t18 @t16)) % 19.14/19.31 (assume @p20 @t84) % 19.14/19.31 (assume @p21 true) % 19.14/19.31 (step @p22 :rule aci_norm :args ((= @t96 @t94))) % 19.14/19.31 (step @p23 :rule cong :premises (@p22) :args (@t98)) % 19.14/19.31 (step @p24 :rule quant-merge-prenex :args ((= (forall @t18 @t100) @t98))) % 19.14/19.31 (step @p25 :rule alpha_equiv :args (@t101 (@list @t88 @t87 @t85) (@list @t4 @t103 @t102))) % 19.14/19.31 (step @p26 :rule refl :args (@t93)) % 19.14/19.31 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t104)) % 19.14/19.31 (step @p28 :rule quant-miniscope-or :args ((= @t100 @t104))) % 19.14/19.31 (step @p29 :rule trans :premises (@p28 @p27)) % 19.14/19.31 (step @p30 :rule symm :premises (@p29)) % 19.14/19.31 (step @p31 :rule cong :premises (@p30) :args ((forall @t18 (or @t93 @t112)))) % 19.14/19.31 (step @p32 :rule trans :premises (@p31 @p24)) % 19.14/19.31 (step @p33 :rule trans :premises (@p32 @p23)) % 19.14/19.31 (step @p34 :rule bool-impl-elim :args (@t16 @t112)) % 19.14/19.31 (step @p35 :rule cong :premises (@p34) :args ((forall @t18 (=> @t16 @t112)))) % 19.14/19.31 (step @p36 :rule trans :premises (@p35 @p33)) % 19.14/19.31 (step @p37 :rule aci_norm :args ((= @t114 @t110))) % 19.14/19.31 (step @p38 :rule cong :premises (@p37) :args (@t115)) % 19.14/19.31 (step @p39 :rule quant-merge-prenex :args ((= (forall @t14 @t117) @t115))) % 19.14/19.31 (step @p40 :rule alpha_equiv :args (@t118 (@list @t103 @t102) (@list @t1 @t119))) % 19.14/19.31 (step @p41 :rule refl :args (@t109)) % 19.14/19.31 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t120)) % 19.14/19.31 (step @p43 :rule quant-miniscope-or :args ((= @t117 @t120))) % 19.14/19.31 (step @p44 :rule trans :premises (@p43 @p42)) % 19.14/19.31 (step @p45 :rule symm :premises (@p44)) % 19.14/19.31 (step @p46 :rule cong :premises (@p45) :args ((forall @t14 (or @t109 @t126)))) % 19.14/19.31 (step @p47 :rule trans :premises (@p46 @p39)) % 19.14/19.31 (step @p48 :rule trans :premises (@p47 @p38)) % 19.14/19.31 (step @p49 :rule bool-impl-elim :args (@t12 @t126)) % 19.14/19.31 (step @p50 :rule cong :premises (@p49) :args ((forall @t14 (=> @t12 @t126)))) % 19.14/19.31 (step @p51 :rule trans :premises (@p50 @p48)) % 19.14/19.31 (step @p52 :rule aci_norm :args ((= @t128 @t124))) % 19.14/19.31 (step @p53 :rule cong :premises (@p52) :args (@t129)) % 19.14/19.31 (step @p54 :rule quant-merge-prenex :args ((= (forall @t10 @t131) @t129))) % 19.14/19.31 (step @p55 :rule alpha_equiv :args (@t132 (@list @t119) @t133)) % 19.14/19.31 (step @p56 :rule refl :args (@t72)) % 19.14/19.31 (step @p57 :rule refl :args (@t123)) % 19.14/19.31 (step @p58 :rule nary_cong :premises (@p57 @p56 @p55) :args (@t134)) % 19.14/19.31 (step @p59 :rule quant-miniscope-or :args ((= @t131 @t134))) % 19.14/19.31 (step @p60 :rule trans :premises (@p59 @p58)) % 19.14/19.31 (step @p61 :rule symm :premises (@p60)) % 19.14/19.31 (step @p62 :rule cong :premises (@p61) :args ((forall @t10 @t139))) % 19.14/19.31 (step @p63 :rule trans :premises (@p62 @p54)) % 19.14/19.31 (step @p64 :rule trans :premises (@p63 @p53)) % 19.14/19.31 (step @p65 :rule aci_norm :args ((= (or @t123 @t140) @t139))) % 19.14/19.31 (step @p66 :rule bool-impl-elim :args (@t9 @t140)) % 19.14/19.31 (step @p67 :rule trans :premises (@p66 @p65)) % 19.14/19.31 (step @p68 :rule cong :premises (@p67) :args ((forall @t10 (=> @t9 @t140)))) % 19.14/19.31 (step @p69 :rule trans :premises (@p68 @p64)) % 19.14/19.31 (step @p70 :rule quant-miniscope-or :args ((= (forall @t23 @t141) @t140))) % 19.14/19.31 (step @p71 :rule aci_norm :args ((= @t142 @t141))) % 19.14/19.31 (step @p72 :rule cong :premises (@p71) :args ((forall @t23 @t142))) % 19.14/19.31 (step @p73 :rule trans :premises (@p72 @p70)) % 19.14/19.31 (step @p74 :rule aci_norm :args ((= (or @t136 (or @t135 @t72)) @t142))) % 19.14/19.31 (step @p75 :rule bool-impl-elim :args (@t73 @t72)) % 19.14/19.31 (step @p76 :rule refl :args (@t136)) % 19.14/19.31 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t136 @t74))) % 19.14/19.31 (step @p78 :rule trans :premises (@p77 @p74)) % 19.14/19.31 (step @p79 :rule bool-impl-elim :args (@t76 @t74)) % 19.14/19.31 (step @p80 :rule trans :premises (@p79 @p78)) % 19.14/19.31 (step @p81 :rule cong :premises (@p80) :args (@t77)) % 19.14/19.31 (step @p82 :rule trans :premises (@p81 @p73)) % 19.14/19.31 (step @p83 :rule refl :args (@t9)) % 19.14/19.31 (step @p84 :rule cong :premises (@p83 @p82) :args (@t78)) % 19.14/19.31 (step @p85 :rule cong :premises (@p84) :args (@t79)) % 19.14/19.31 (step @p86 :rule trans :premises (@p85 @p69)) % 19.14/19.31 (step @p87 :rule refl :args (@t12)) % 19.14/19.31 (step @p88 :rule cong :premises (@p87 @p86) :args (@t80)) % 19.14/19.31 (step @p89 :rule cong :premises (@p88) :args (@t81)) % 19.14/19.31 (step @p90 :rule trans :premises (@p89 @p51)) % 19.14/19.31 (step @p91 :rule refl :args (@t16)) % 19.14/19.31 (step @p92 :rule cong :premises (@p91 @p90) :args (@t82)) % 19.14/19.31 (step @p93 :rule cong :premises (@p92) :args (@t83)) % 19.14/19.31 (step @p94 :rule trans :premises (@p93 @p36)) % 19.14/19.31 (step @p95 :rule cong :premises (@p94) :args (@t84)) % 19.14/19.31 (step @p96 :rule eq_resolve :premises (@p20 @p95)) % 19.14/19.31 (step @p97 :rule skolemize :premises (@p96)) % 19.14/19.31 (step @p98 :rule bool-double-not-elim :args (@t145)) % 19.14/19.31 (step @p99 :rule refl :args (@t161)) % 19.14/19.31 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t161 (not @t158)))) % 19.14/19.31 (step @p101 :rule cnf_or_neg :args (@t161 1)) % 19.14/19.31 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 19.14/19.31 (step @p103 :rule reordering :premises (@p102) :args ((or @t145 @t161))) % 19.14/19.31 (step @p104 :rule chain_m_resolution :premises (@p103 @p97) :args (@t145 @t162 @t163)) % 19.14/19.31 (step @p105 :rule bool-double-not-elim :args (@t156)) % 19.14/19.31 (step @p106 :rule nary_cong :premises (@p99 @p105) :args ((or @t161 (not @t157)))) % 19.14/19.31 (step @p107 :rule cnf_or_neg :args (@t161 2)) % 19.14/19.31 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 19.14/19.31 (step @p109 :rule reordering :premises (@p108) :args ((or @t156 @t161))) % 19.14/19.31 (step @p110 :rule chain_m_resolution :premises (@p109 @p97) :args (@t156 @t162 @t163)) % 19.14/19.31 (step @p111 :rule aci_norm :args ((= @t172 (or @t93 @t170 @t169)))) % 19.14/19.31 (step @p112 :rule cong :premises (@p111) :args (@t173)) % 19.14/19.31 (step @p113 :rule quant-merge-prenex :args ((= (forall @t18 @t175) @t173))) % 19.14/19.31 (step @p114 :rule alpha_equiv :args (@t176 (@list @t164 @t168 @t166) (@list @t4 @t178 @t177))) % 19.14/19.31 (step @p115 :rule nary_cong :premises (@p26 @p114) :args (@t179)) % 19.14/19.31 (step @p116 :rule quant-miniscope-or :args ((= @t175 @t179))) % 19.14/19.31 (step @p117 :rule trans :premises (@p116 @p115)) % 19.14/19.31 (step @p118 :rule symm :premises (@p117)) % 19.14/19.31 (step @p119 :rule cong :premises (@p118) :args ((forall @t18 (or @t93 @t184)))) % 19.14/19.31 (step @p120 :rule trans :premises (@p119 @p113)) % 19.14/19.31 (step @p121 :rule trans :premises (@p120 @p112)) % 19.14/19.31 (step @p122 :rule bool-impl-elim :args (@t16 @t184)) % 19.14/19.31 (step @p123 :rule cong :premises (@p122) :args ((forall @t18 (=> @t16 @t184)))) % 19.14/19.31 (step @p124 :rule trans :premises (@p123 @p121)) % 19.14/19.31 (step @p125 :rule quant-merge-prenex :args ((= (forall @t14 @t186) @t184))) % 19.14/19.31 (step @p126 :rule alpha_equiv :args (@t187 (@list @t177) @t133)) % 19.14/19.31 (step @p127 :rule quant-unused-vars :args ((= @t188 @t187))) % 19.14/19.31 (step @p128 :rule trans :premises (@p127 @p126)) % 19.14/19.31 (step @p129 :rule alpha_equiv :args (@t189 (@list @t178) @t190)) % 19.14/19.31 (step @p130 :rule quant-unused-vars :args ((= @t191 @t189))) % 19.14/19.31 (step @p131 :rule trans :premises (@p130 @p129)) % 19.14/19.31 (step @p132 :rule nary_cong :premises (@p131 @p128) :args (@t192)) % 19.14/19.31 (step @p133 :rule quant-miniscope-and :args ((= @t193 @t192))) % 19.14/19.31 (step @p134 :rule trans :premises (@p133 @p132)) % 19.14/19.31 (step @p135 :rule nary_cong :premises (@p41 @p134) :args (@t194)) % 19.14/19.31 (step @p136 :rule quant-miniscope-or :args ((= @t186 @t194))) % 19.14/19.31 (step @p137 :rule trans :premises (@p136 @p135)) % 19.14/19.31 (step @p138 :rule symm :premises (@p137)) % 19.14/19.31 (step @p139 :rule cong :premises (@p138) :args ((forall @t14 (or @t109 @t195)))) % 19.14/19.31 (step @p140 :rule trans :premises (@p139 @p125)) % 19.14/19.31 (step @p141 :rule bool-impl-elim :args (@t12 @t195)) % 19.14/19.31 (step @p142 :rule cong :premises (@p141) :args ((forall @t14 (=> @t12 @t195)))) % 19.14/19.31 (step @p143 :rule trans :premises (@p142 @p140)) % 19.14/19.31 (step @p144 :rule bool-impl-elim :args (@t28 @t26)) % 19.14/19.31 (step @p145 :rule cong :premises (@p144) :args (@t29)) % 19.14/19.31 (step @p146 :rule bool-impl-elim :args (@t31 @t30)) % 19.14/19.31 (step @p147 :rule cong :premises (@p146) :args (@t32)) % 19.14/19.31 (step @p148 :rule nary_cong :premises (@p147 @p145) :args (@t33)) % 19.14/19.31 (step @p149 :rule cong :premises (@p87 @p148) :args (@t34)) % 19.14/19.31 (step @p150 :rule cong :premises (@p149) :args 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(@p350) :args ((forall @t14 (=> @t12 @t320)))) % 19.14/19.31 (step @p352 :rule trans :premises (@p351 @p347)) % 19.14/19.31 (step @p353 :rule quant-miniscope-or :args ((= (forall @t10 @t321) @t320))) % 19.14/19.31 (step @p354 :rule aci_norm :args ((= @t322 @t321))) % 19.14/19.31 (step @p355 :rule cong :premises (@p354) :args ((forall @t10 @t322))) % 19.14/19.31 (step @p356 :rule trans :premises (@p355 @p353)) % 19.14/19.31 (step @p357 :rule aci_norm :args ((= (or @t123 @t323) @t322))) % 19.14/19.31 (step @p358 :rule aci_norm :args ((= (or (or @t305 @t316) @t3) @t323))) % 19.14/19.31 (step @p359 :rule refl :args (@t3)) % 19.14/19.31 (step @p360 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 19.14/19.31 (step @p361 :rule nary_cong :premises (@p360 @p359) :args ((or (not @t7) @t3))) % 19.14/19.31 (step @p362 :rule trans :premises (@p361 @p358)) % 19.14/19.31 (step @p363 :rule bool-impl-elim :args (@t7 @t3)) % 19.14/19.31 (step @p364 :rule trans :premises (@p363 @p362)) % 19.14/19.31 (step @p365 :rule nary_cong :premises (@p57 @p364) :args ((or @t123 @t8))) % 19.14/19.31 (step @p366 :rule trans :premises (@p365 @p357)) % 19.14/19.31 (step @p367 :rule bool-impl-elim :args (@t9 @t8)) % 19.14/19.31 (step @p368 :rule trans :premises (@p367 @p366)) % 19.14/19.31 (step @p369 :rule cong :premises (@p368) :args (@t11)) % 19.14/19.31 (step @p370 :rule trans :premises (@p369 @p356)) % 19.14/19.31 (step @p371 :rule cong :premises (@p87 @p370) :args (@t13)) % 19.14/19.31 (step @p372 :rule cong :premises (@p371) :args (@t15)) % 19.14/19.31 (step @p373 :rule trans :premises (@p372 @p352)) % 19.14/19.31 (step @p374 :rule cong :premises (@p91 @p373) :args (@t17)) % 19.14/19.31 (step @p375 :rule cong :premises (@p374) :args (@t19)) % 19.14/19.31 (step @p376 :rule trans :premises (@p375 @p335)) % 19.14/19.31 (step @p377 :rule eq_resolve :premises (@p1 @p376)) % 19.14/19.31 (step @p378 :rule instantiate :premises (@p377) :args ((@list @t147 @t146 @t154))) % 19.14/19.31 (step @p379 :rule bool-double-not-elim :args (@t148)) % 19.14/19.31 (step @p380 :rule nary_cong :premises (@p99 @p379) :args ((or @t161 (not @t149)))) % 19.14/19.31 (step @p381 :rule cnf_or_neg :args (@t161 5)) % 19.14/19.31 (step @p382 :rule eq_resolve :premises (@p381 @p380)) % 19.14/19.31 (step @p383 :rule reordering :premises (@p382) :args ((or @t148 @t161))) % 19.14/19.31 (step @p384 :rule chain_m_resolution :premises (@p383 @p97) :args (@t148 @t162 @t163)) % 19.14/19.31 (step @p385 :rule cnf_or_neg :args (@t161 3)) % 19.14/19.31 (step @p386 :rule chain_m_resolution :premises (@p385 @p97) :args ((not @t155) @t162 @t163)) % 19.14/19.31 (step @p387 :rule bool-double-not-elim :args (@t159)) % 19.14/19.31 (step @p388 :rule nary_cong :premises (@p99 @p387) :args ((or @t161 (not @t160)))) % 19.14/19.31 (step @p389 :rule cnf_or_neg :args (@t161 0)) % 19.14/19.31 (step @p390 :rule eq_resolve :premises (@p389 @p388)) % 19.14/19.31 (step @p391 :rule reordering :premises (@p390) :args ((or @t159 @t161))) % 19.14/19.31 (step @p392 :rule chain_m_resolution :premises (@p391 @p97) :args (@t159 @t162 @t163)) % 19.14/19.31 (step @p393 :rule cnf_or_pos :args (@t325)) % 19.14/19.31 (step @p394 :rule reordering :premises (@p393) :args ((or @t160 @t155 @t149 @t215 @t217 @t324 (not @t325)))) % 19.14/19.31 (step @p395 :rule chain_m_resolution :premises (@p394 @p392 @p386 @p384 @p179 @p178 @p378) :args (@t324 (@list false true false false false false) (@list @t159 @t155 @t148 @t214 @t216 @t325))) % 19.14/19.31 (step @p396 :rule cnf_equiv_pos2 :args (@t285)) % 19.14/19.31 (step @p397 :rule reordering :premises (@p396) :args ((or @t284 @t326 (not @t285)))) % 19.14/19.31 (step @p398 :rule chain_m_resolution :premises (@p397 @p395 @p321) :args (@t326 @t327 (@list @t284 @t285))) % 19.14/19.31 (step @p399 :rule cnf_equiv_pos2 :args (@t270)) % 19.14/19.31 (step @p400 :rule reordering :premises (@p399) :args ((or @t266 @t328 (not @t270)))) % 19.14/19.31 (step @p401 :rule chain_m_resolution :premises (@p400 @p398 @p292) :args (@t328 @t327 (@list @t266 @t270))) % 19.14/19.31 (step @p402 :rule cnf_equiv_pos2 :args (@t241)) % 19.14/19.31 (step @p403 :rule reordering :premises (@p402) :args ((or @t235 @t329 (not @t241)))) % 19.14/19.31 (step @p404 :rule chain_m_resolution :premises (@p403 @p401 @p241) :args (@t329 @t327 (@list @t235 @t241))) % 19.14/19.31 (step @p405 :rule cnf_equiv_pos1 :args (@t213)) % 19.14/19.31 (step @p406 :rule reordering :premises (@p405) :args ((or @t210 @t330 (not @t213)))) % 19.14/19.31 (step @p407 :rule chain_m_resolution :premises (@p406 @p404 @p182) :args (@t330 @t327 (@list @t210 @t213))) % 19.14/19.31 (step @p408 :rule bool-double-not-elim :args (@t152)) % 19.14/19.31 (step @p409 :rule nary_cong :premises (@p99 @p408) :args ((or @t161 (not @t153)))) % 19.14/19.31 (step @p410 :rule cnf_or_neg :args (@t161 4)) % 19.14/19.31 (step @p411 :rule eq_resolve :premises (@p410 @p409)) % 19.14/19.31 (step @p412 :rule reordering :premises (@p411) :args ((or @t152 @t161))) % 19.14/19.31 (step @p413 :rule chain_m_resolution :premises (@p412 @p97) :args (@t152 @t162 @t163)) % 19.14/19.31 (step @p414 :rule cnf_or_pos :args (@t331)) % 19.14/19.31 (step @p415 :rule reordering :premises (@p414) :args ((or @t153 @t212 @t332))) % 19.14/19.31 (step @p416 :rule chain_m_resolution :premises (@p415 @p413 @p407) :args (@t332 (@list false true) (@list @t152 @t212))) % 19.14/19.31 (step @p417 :rule cnf_and_pos :args (@t333 1)) % 19.14/19.31 (step @p418 :rule reordering :premises (@p417) :args ((or @t331 @t334))) % 19.14/19.31 (step @p419 :rule chain_m_resolution :premises (@p418 @p416) :args (@t334 @t162 (@list @t331))) % 19.14/19.31 (step @p420 :rule cnf_or_pos :args (@t335)) % 19.14/19.31 (step @p421 :rule reordering :premises (@p420) :args ((or @t158 @t157 @t333 (not @t335)))) % 19.14/19.31 (step @p422 false :rule chain_m_resolution :premises (@p421 @p419 @p156 @p110 @p104) :args (false (@list true false false false) (@list @t333 @t335 @t156 @t145))) % 19.14/19.31 ) % 19.14/19.31 % SZS output end Proof % 19.14/19.31 % cvc5 exiting %------------------------------------------------------------------------------