%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET664+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 3.85s 4.05s % Output : Proof 3.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET664+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n020.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:06:25 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 3.85/4.05 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.85/4.05 % SZS status Theorem % 3.85/4.05 % SZS output start Proof % 3.85/4.05 ( % 3.85/4.05 (declare-sort $$unsorted 0) % 3.85/4.05 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.85/4.05 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 3.85/4.05 (declare-const tptp.relation_like (-> $$unsorted Bool)) % 3.85/4.05 (declare-const tptp.empty_set $$unsorted) % 3.85/4.05 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 3.85/4.05 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.85/4.05 (declare-const tptp.set_type $$unsorted) % 3.85/4.05 (declare-const tptp.subset_type (-> $$unsorted $$unsorted)) % 3.85/4.05 (declare-const tptp.member_type (-> $$unsorted $$unsorted)) % 3.85/4.05 (declare-const tptp.ilf_type (-> $$unsorted $$unsorted Bool)) % 3.85/4.05 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 3.85/4.05 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 3.85/4.05 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 3.85/4.05 (declare-const tptp.type (-> $$unsorted $$unsorted Bool)) % 3.85/4.05 (declare-const tptp.binary_relation_type $$unsorted) % 3.85/4.05 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 3.85/4.05 (declare-const tptp.empty (-> $$unsorted Bool)) % 3.85/4.05 (declare-const tptp.relation_type (-> $$unsorted $$unsorted $$unsorted)) % 3.85/4.05 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 3.85/4.05 (define @t1 () (@var "B" $$unsorted)) % 3.85/4.05 (define @t2 () (= @t1 tptp.empty_set)) % 3.85/4.05 (define @t3 () (tptp.subset @t1 tptp.empty_set)) % 3.85/4.05 (define @t4 () (=> @t3 @t2)) % 3.85/4.05 (define @t5 () (tptp.ilf_type @t1 tptp.set_type)) % 3.85/4.05 (define @t6 () (=> @t5 @t4)) % 3.85/4.05 (define @t7 () (@list @t1)) % 3.85/4.05 (define @t8 () (forall @t7 @t6)) % 3.85/4.05 (define @t9 () (tptp.range_of @t1)) % 3.85/4.05 (define @t10 () (tptp.domain_of @t1)) % 3.85/4.05 (define @t11 () (or (= @t10 tptp.empty_set) (= @t9 tptp.empty_set))) % 3.85/4.05 (define @t12 () (=> @t11 @t2)) % 3.85/4.05 (define @t13 () (tptp.ilf_type @t1 tptp.binary_relation_type)) % 3.85/4.05 (define @t14 () (=> @t13 @t12)) % 3.85/4.05 (define @t15 () (forall @t7 @t14)) % 3.85/4.05 (define @t16 () (@var "C" $$unsorted)) % 3.85/4.05 (define @t17 () (@var "D" $$unsorted)) % 3.85/4.05 (define @t18 () (tptp.range_of @t17)) % 3.85/4.05 (define @t19 () (tptp.domain_of @t17)) % 3.85/4.05 (define @t20 () (and (tptp.subset @t19 @t1) (tptp.subset @t18 @t16))) % 3.85/4.05 (define @t21 () (tptp.relation_type @t1 @t16)) % 3.85/4.05 (define @t22 () (tptp.ilf_type @t17 @t21)) % 3.85/4.05 (define @t23 () (@list @t17)) % 3.85/4.05 (define @t24 () (forall @t23 (=> @t22 @t20))) % 3.85/4.05 (define @t25 () (tptp.ilf_type @t16 tptp.set_type)) % 3.85/4.05 (define @t26 () (=> @t25 @t24)) % 3.85/4.05 (define @t27 () (@list @t16)) % 3.85/4.05 (define @t28 () (forall @t27 @t26)) % 3.85/4.05 (define @t29 () (=> @t5 @t28)) % 3.85/4.05 (define @t30 () (forall @t7 @t29)) % 3.85/4.05 (define @t31 () (tptp.cross_product @t1 @t16)) % 3.85/4.05 (define @t32 () (tptp.subset_type @t31)) % 3.85/4.05 (define @t33 () (@var "E" $$unsorted)) % 3.85/4.05 (define @t34 () (tptp.ilf_type @t33 @t32)) % 3.85/4.05 (define @t35 () (tptp.ilf_type @t33 @t21)) % 3.85/4.05 (define @t36 () (@list @t33)) % 3.85/4.05 (define @t37 () (forall @t36 (=> @t35 @t34))) % 3.85/4.05 (define @t38 () (tptp.ilf_type @t17 @t32)) % 3.85/4.05 (define @t39 () (forall @t23 (=> @t38 @t22))) % 3.85/4.05 (define @t40 () (and @t39 @t37)) % 3.85/4.05 (define @t41 () (=> @t25 @t40)) % 3.85/4.05 (define @t42 () (forall @t27 @t41)) % 3.85/4.05 (define @t43 () (=> @t5 @t42)) % 3.85/4.05 (define @t44 () (forall @t7 @t43)) % 3.85/4.05 (define @t45 () (tptp.relation_type @t16 @t1)) % 3.85/4.05 (define @t46 () (tptp.ilf_type @t17 @t45)) % 3.85/4.05 (define @t47 () (tptp.ordered_pair @t17 @t33)) % 3.85/4.05 (define @t48 () (tptp.ilf_type @t33 tptp.set_type)) % 3.85/4.05 (define @t49 () (tptp.ilf_type @t17 tptp.set_type)) % 3.85/4.05 (define @t50 () (= @t1 @t16)) % 3.85/4.05 (define @t51 () (tptp.ilf_type @t16 tptp.binary_relation_type)) % 3.85/4.05 (define @t52 () (tptp.relation_like @t1)) % 3.85/4.05 (define @t53 () (= @t13 (and @t52 @t5))) % 3.85/4.05 (define @t54 () (forall @t7 (=> @t5 @t53))) % 3.85/4.05 (define @t55 () (tptp.power_set @t1)) % 3.85/4.05 (define @t56 () (tptp.subset_type @t1)) % 3.85/4.05 (define @t57 () (tptp.ilf_type @t16 @t56)) % 3.85/4.05 (define @t58 () (forall @t23 (=> @t49 (=> (tptp.member @t17 @t1) (tptp.member @t17 @t16))))) % 3.85/4.05 (define @t59 () (tptp.member @t16 @t1)) % 3.85/4.05 (define @t60 () (tptp.empty @t1)) % 3.85/4.05 (define @t61 () (tptp.relation_like @t17)) % 3.85/4.05 (define @t62 () (forall @t23 (=> @t38 @t61))) % 3.85/4.05 (define @t63 () (=> @t25 @t62)) % 3.85/4.05 (define @t64 () (forall @t27 @t63)) % 3.85/4.05 (define @t65 () (=> @t5 @t64)) % 3.85/4.05 (define @t66 () (forall @t7 @t65)) % 3.85/4.05 (define @t67 () (tptp.domain @t1 @t16 @t17)) % 3.85/4.05 (define @t68 () (tptp.range @t1 @t16 @t17)) % 3.85/4.05 (define @t69 () (=> @t22 (= @t68 @t18))) % 3.85/4.05 (define @t70 () (forall @t23 @t69)) % 3.85/4.05 (define @t71 () (=> @t25 @t70)) % 3.85/4.05 (define @t72 () (forall @t27 @t71)) % 3.85/4.05 (define @t73 () (=> @t5 @t72)) % 3.85/4.05 (define @t74 () (forall @t7 @t73)) % 3.85/4.05 (define @t75 () (tptp.relation_type @t16 tptp.empty_set)) % 3.85/4.05 (define @t76 () (tptp.ilf_type @t17 @t75)) % 3.85/4.05 (define @t77 () (=> @t76 (= @t17 tptp.empty_set))) % 3.85/4.05 (define @t78 () (=> @t46 @t77)) % 3.85/4.05 (define @t79 () (forall @t23 @t78)) % 3.85/4.05 (define @t80 () (=> @t25 @t79)) % 3.85/4.05 (define @t81 () (forall @t27 @t80)) % 3.85/4.05 (define @t82 () (=> @t5 @t81)) % 3.85/4.05 (define @t83 () (forall @t7 @t82)) % 3.85/4.05 (define @t84 () (not @t83)) % 3.85/4.05 (define @t85 () (@var "BOUND_VARIABLE_8146" $$unsorted)) % 3.85/4.05 (define @t86 () (tptp.relation_like @t85)) % 3.85/4.05 (define @t87 () (@var "BOUND_VARIABLE_8144" $$unsorted)) % 3.85/4.05 (define @t88 () (not (tptp.ilf_type @t85 (tptp.subset_type (tptp.cross_product @t1 @t87))))) % 3.85/4.05 (define @t89 () (not (tptp.ilf_type @t87 tptp.set_type))) % 3.85/4.05 (define @t90 () (not @t5)) % 3.85/4.05 (define @t91 () (or @t90 @t89 @t88 @t86)) % 3.85/4.05 (define @t92 () (or @t89 @t88 @t86)) % 3.85/4.05 (define @t93 () (or @t90 @t92)) % 3.85/4.05 (define @t94 () (@list @t1 @t87 @t85)) % 3.85/4.05 (define @t95 () (forall @t94 @t93)) % 3.85/4.05 (define @t96 () (@list @t87 @t85)) % 3.85/4.05 (define @t97 () (forall @t96 @t93)) % 3.85/4.05 (define @t98 () (forall @t96 @t92)) % 3.85/4.05 (define @t99 () (@var "BOUND_VARIABLE_8129" $$unsorted)) % 3.85/4.05 (define @t100 () (or @t90 @t98)) % 3.85/4.05 (define @t101 () (tptp.relation_like @t99)) % 3.85/4.05 (define @t102 () (not (tptp.ilf_type @t99 @t32))) % 3.85/4.05 (define @t103 () (not @t25)) % 3.85/4.05 (define @t104 () (or @t103 @t102 @t101)) % 3.85/4.05 (define @t105 () (@list @t16 @t99)) % 3.85/4.05 (define @t106 () (forall @t105 @t104)) % 3.85/4.05 (define @t107 () (or @t102 @t101)) % 3.85/4.05 (define @t108 () (or @t103 @t107)) % 3.85/4.05 (define @t109 () (forall @t105 @t108)) % 3.85/4.05 (define @t110 () (@list @t99)) % 3.85/4.05 (define @t111 () (forall @t110 @t108)) % 3.85/4.05 (define @t112 () (forall @t110 @t107)) % 3.85/4.05 (define @t113 () (@list @t17)) % 3.85/4.05 (define @t114 () (or @t103 @t112)) % 3.85/4.05 (define @t115 () (not @t38)) % 3.85/4.05 (define @t116 () (forall @t23 (or @t115 @t61))) % 3.85/4.05 (define @t117 () (@var "BOUND_VARIABLE_7781" $$unsorted)) % 3.85/4.05 (define @t118 () (tptp.subset_type (tptp.cross_product @t1 @t117))) % 3.85/4.05 (define @t119 () (@var "BOUND_VARIABLE_7785" $$unsorted)) % 3.85/4.05 (define @t120 () (tptp.relation_type @t1 @t117)) % 3.85/4.05 (define @t121 () (@var "BOUND_VARIABLE_7783" $$unsorted)) % 3.85/4.05 (define @t122 () (and (or (not (tptp.ilf_type @t121 @t118)) (tptp.ilf_type @t121 @t120)) (or (not (tptp.ilf_type @t119 @t120)) (tptp.ilf_type @t119 @t118)))) % 3.85/4.05 (define @t123 () (not (tptp.ilf_type @t117 tptp.set_type))) % 3.85/4.05 (define @t124 () (or @t123 @t122)) % 3.85/4.05 (define @t125 () (or @t90 @t124)) % 3.85/4.05 (define @t126 () (forall (@list @t1 @t117 @t121 @t119) @t125)) % 3.85/4.05 (define @t127 () (@list @t117 @t121 @t119)) % 3.85/4.05 (define @t128 () (forall @t127 @t125)) % 3.85/4.05 (define @t129 () (forall @t127 @t124)) % 3.85/4.05 (define @t130 () (@var "BOUND_VARIABLE_7767" $$unsorted)) % 3.85/4.05 (define @t131 () (@var "BOUND_VARIABLE_7761" $$unsorted)) % 3.85/4.05 (define @t132 () (or @t90 @t129)) % 3.85/4.05 (define @t133 () (or (not (tptp.ilf_type @t130 @t21)) (tptp.ilf_type @t130 @t32))) % 3.85/4.05 (define @t134 () (or (not (tptp.ilf_type @t131 @t32)) (tptp.ilf_type @t131 @t21))) % 3.85/4.05 (define @t135 () (and @t134 @t133)) % 3.85/4.05 (define @t136 () (or @t103 @t135)) % 3.85/4.05 (define @t137 () (forall (@list @t16 @t131 @t130) @t136)) % 3.85/4.05 (define @t138 () (@list @t131 @t130)) % 3.85/4.05 (define @t139 () (forall @t138 @t136)) % 3.85/4.05 (define @t140 () (forall (@list @t130) @t133)) % 3.85/4.05 (define @t141 () (forall @t138 @t133)) % 3.85/4.05 (define @t142 () (forall (@list @t131) @t134)) % 3.85/4.05 (define @t143 () (forall @t138 @t134)) % 3.85/4.05 (define @t144 () (and @t143 @t141)) % 3.85/4.05 (define @t145 () (forall @t138 @t135)) % 3.85/4.05 (define @t146 () (or @t103 @t145)) % 3.85/4.05 (define @t147 () (and (forall @t23 (or @t115 @t22)) (forall @t36 (or (not @t35) @t34)))) % 3.85/4.05 (define @t148 () (@var "BOUND_VARIABLE_8364" $$unsorted)) % 3.85/4.05 (define @t149 () (= tptp.empty_set @t148)) % 3.85/4.05 (define @t150 () (@var "BOUND_VARIABLE_8362" $$unsorted)) % 3.85/4.05 (define @t151 () (not (tptp.ilf_type @t148 (tptp.relation_type @t150 tptp.empty_set)))) % 3.85/4.05 (define @t152 () (not (tptp.ilf_type @t148 (tptp.relation_type @t150 @t1)))) % 3.85/4.05 (define @t153 () (not (tptp.ilf_type @t150 tptp.set_type))) % 3.85/4.05 (define @t154 () (or @t90 @t153 @t152 @t151 @t149)) % 3.85/4.05 (define @t155 () (@list @t1 @t150 @t148)) % 3.85/4.05 (define @t156 () (forall @t155 @t154)) % 3.85/4.05 (define @t157 () (@quantifiers_skolemize @t156 2)) % 3.85/4.05 (define @t158 () (@quantifiers_skolemize @t156 0)) % 3.85/4.05 (define @t159 () (@quantifiers_skolemize @t156 1)) % 3.85/4.05 (define @t160 () (or @t153 @t152 @t151 @t149)) % 3.85/4.05 (define @t161 () (or @t90 @t160)) % 3.85/4.05 (define @t162 () (forall @t155 @t161)) % 3.85/4.05 (define @t163 () (@list @t150 @t148)) % 3.85/4.05 (define @t164 () (forall @t163 @t161)) % 3.85/4.05 (define @t165 () (forall @t163 @t160)) % 3.85/4.05 (define @t166 () (@var "BOUND_VARIABLE_8345" $$unsorted)) % 3.85/4.05 (define @t167 () (or @t90 @t165)) % 3.85/4.05 (define @t168 () (= tptp.empty_set @t166)) % 3.85/4.05 (define @t169 () (not (tptp.ilf_type @t166 @t75))) % 3.85/4.05 (define @t170 () (not (tptp.ilf_type @t166 @t45))) % 3.85/4.05 (define @t171 () (or @t103 @t170 @t169 @t168)) % 3.85/4.05 (define @t172 () (@list @t16 @t166)) % 3.85/4.05 (define @t173 () (forall @t172 @t171)) % 3.85/4.05 (define @t174 () (or @t170 @t169 @t168)) % 3.85/4.05 (define @t175 () (or @t103 @t174)) % 3.85/4.05 (define @t176 () (forall @t172 @t175)) % 3.85/4.05 (define @t177 () (@list @t166)) % 3.85/4.05 (define @t178 () (forall @t177 @t175)) % 3.85/4.05 (define @t179 () (forall @t177 @t174)) % 3.85/4.05 (define @t180 () (or @t103 @t179)) % 3.85/4.05 (define @t181 () (= tptp.empty_set @t17)) % 3.85/4.05 (define @t182 () (not @t76)) % 3.85/4.05 (define @t183 () (not @t46)) % 3.85/4.05 (define @t184 () (or @t183 @t182 @t181)) % 3.85/4.05 (define @t185 () (forall @t23 @t184)) % 3.85/4.05 (define @t186 () (=> @t76 @t181)) % 3.85/4.05 (define @t187 () (tptp.ilf_type @t159 tptp.set_type)) % 3.85/4.05 (define @t188 () (= tptp.empty_set @t157)) % 3.85/4.05 (define @t189 () (tptp.ilf_type @t157 (tptp.relation_type @t159 tptp.empty_set))) % 3.85/4.05 (define @t190 () (not @t189)) % 3.85/4.05 (define @t191 () (tptp.ilf_type @t157 (tptp.relation_type @t159 @t158))) % 3.85/4.05 (define @t192 () (not @t191)) % 3.85/4.05 (define @t193 () (not @t187)) % 3.85/4.05 (define @t194 () (tptp.ilf_type @t158 tptp.set_type)) % 3.85/4.05 (define @t195 () (not @t194)) % 3.85/4.05 (define @t196 () (or @t195 @t193 @t192 @t190 @t188)) % 3.85/4.05 (define @t197 () (@list true)) % 3.85/4.05 (define @t198 () (@list @t196)) % 3.85/4.05 (define @t199 () (tptp.ilf_type @t157 (tptp.subset_type (tptp.cross_product @t159 @t158)))) % 3.85/4.05 (define @t200 () (or @t192 @t199)) % 3.85/4.05 (define @t201 () (not @t199)) % 3.85/4.05 (define @t202 () (and (or @t201 @t191) @t200)) % 3.85/4.05 (define @t203 () (or @t193 @t195 @t202)) % 3.85/4.05 (define @t204 () (@list false false false)) % 3.85/4.05 (define @t205 () (@list false)) % 3.85/4.05 (define @t206 () (@list false false)) % 3.85/4.05 (define @t207 () (@list @t157)) % 3.85/4.05 (define @t208 () (tptp.ilf_type @t157 tptp.set_type)) % 3.85/4.05 (define @t209 () (tptp.relation_like @t157)) % 3.85/4.05 (define @t210 () (and @t209 @t208)) % 3.85/4.05 (define @t211 () (tptp.ilf_type @t157 tptp.binary_relation_type)) % 3.85/4.05 (define @t212 () (= @t211 @t210)) % 3.85/4.05 (define @t213 () (not @t208)) % 3.85/4.05 (define @t214 () (or @t213 @t212)) % 3.85/4.05 (define @t215 () (= tptp.empty_set @t1)) % 3.85/4.05 (define @t216 () (= tptp.empty_set @t9)) % 3.85/4.05 (define @t217 () (= tptp.empty_set @t10)) % 3.85/4.05 (define @t218 () (and (not @t217) (not @t216))) % 3.85/4.05 (define @t219 () (not @t13)) % 3.85/4.05 (define @t220 () (or @t217 @t216)) % 3.85/4.05 (define @t221 () (=> @t220 @t215)) % 3.85/4.05 (define @t222 () (not @t3)) % 3.85/4.05 (define @t223 () (=> @t3 @t215)) % 3.85/4.05 (define @t224 () (tptp.range_of @t157)) % 3.85/4.05 (define @t225 () (tptp.range @t159 @t158 @t157)) % 3.85/4.05 (define @t226 () (@var "BOUND_VARIABLE_8275" $$unsorted)) % 3.85/4.05 (define @t227 () (@var "BOUND_VARIABLE_8273" $$unsorted)) % 3.85/4.05 (define @t228 () (= (tptp.range_of @t226) (tptp.range @t1 @t227 @t226))) % 3.85/4.05 (define @t229 () (not (tptp.ilf_type @t226 (tptp.relation_type @t1 @t227)))) % 3.85/4.05 (define @t230 () (not (tptp.ilf_type @t227 tptp.set_type))) % 3.85/4.05 (define @t231 () (or @t230 @t229 @t228)) % 3.85/4.05 (define @t232 () (or @t90 @t231)) % 3.85/4.05 (define @t233 () (forall (@list @t1 @t227 @t226) @t232)) % 3.85/4.05 (define @t234 () (@list @t227 @t226)) % 3.85/4.05 (define @t235 () (forall @t234 @t232)) % 3.85/4.05 (define @t236 () (forall @t234 @t231)) % 3.85/4.05 (define @t237 () (@var "BOUND_VARIABLE_8256" $$unsorted)) % 3.85/4.05 (define @t238 () (or @t90 @t236)) % 3.85/4.05 (define @t239 () (= (tptp.range_of @t237) (tptp.range @t1 @t16 @t237))) % 3.85/4.05 (define @t240 () (not (tptp.ilf_type @t237 @t21))) % 3.85/4.05 (define @t241 () (or @t103 @t240 @t239)) % 3.85/4.05 (define @t242 () (@list @t16 @t237)) % 3.85/4.05 (define @t243 () (forall @t242 @t241)) % 3.85/4.05 (define @t244 () (or @t240 @t239)) % 3.85/4.05 (define @t245 () (or @t103 @t244)) % 3.85/4.05 (define @t246 () (forall @t242 @t245)) % 3.85/4.05 (define @t247 () (@list @t237)) % 3.85/4.05 (define @t248 () (forall @t247 @t245)) % 3.85/4.05 (define @t249 () (forall @t247 @t244)) % 3.85/4.05 (define @t250 () (or @t103 @t249)) % 3.85/4.05 (define @t251 () (= @t18 @t68)) % 3.85/4.05 (define @t252 () (not @t22)) % 3.85/4.05 (define @t253 () (forall @t23 (or @t252 @t251))) % 3.85/4.05 (define @t254 () (@list @t159 @t158 @t157)) % 3.85/4.05 (define @t255 () (= @t224 @t225)) % 3.85/4.05 (define @t256 () (or @t193 @t195 @t192 @t255)) % 3.85/4.05 (define @t257 () (@list false false false false)) % 3.85/4.05 (define @t258 () (tptp.ilf_type @t224 tptp.set_type)) % 3.85/4.05 (define @t259 () (@var "BOUND_VARIABLE_7726" $$unsorted)) % 3.85/4.05 (define @t260 () (@var "BOUND_VARIABLE_7728" $$unsorted)) % 3.85/4.05 (define @t261 () (and (tptp.subset (tptp.domain_of @t260) @t1) (tptp.subset (tptp.range_of @t260) @t259))) % 3.85/4.05 (define @t262 () (not (tptp.ilf_type @t260 (tptp.relation_type @t1 @t259)))) % 3.85/4.05 (define @t263 () (not (tptp.ilf_type @t259 tptp.set_type))) % 3.85/4.05 (define @t264 () (or @t263 @t262 @t261)) % 3.85/4.05 (define @t265 () (or @t90 @t264)) % 3.85/4.05 (define @t266 () (forall (@list @t1 @t259 @t260) @t265)) % 3.85/4.05 (define @t267 () (@list @t259 @t260)) % 3.85/4.05 (define @t268 () (forall @t267 @t265)) % 3.85/4.05 (define @t269 () (forall @t267 @t264)) % 3.85/4.05 (define @t270 () (@var "BOUND_VARIABLE_7707" $$unsorted)) % 3.85/4.05 (define @t271 () (or @t90 @t269)) % 3.85/4.05 (define @t272 () (and (tptp.subset (tptp.domain_of @t270) @t1) (tptp.subset (tptp.range_of @t270) @t16))) % 3.85/4.05 (define @t273 () (not (tptp.ilf_type @t270 @t21))) % 3.85/4.05 (define @t274 () (or @t103 @t273 @t272)) % 3.85/4.05 (define @t275 () (@list @t16 @t270)) % 3.85/4.05 (define @t276 () (forall @t275 @t274)) % 3.85/4.05 (define @t277 () (or @t273 @t272)) % 3.85/4.05 (define @t278 () (or @t103 @t277)) % 3.85/4.05 (define @t279 () (forall @t275 @t278)) % 3.85/4.05 (define @t280 () (@list @t270)) % 3.85/4.05 (define @t281 () (forall @t280 @t278)) % 3.85/4.05 (define @t282 () (forall @t280 @t277)) % 3.85/4.05 (define @t283 () (or @t103 @t282)) % 3.85/4.05 (define @t284 () (forall @t23 (or @t252 @t20))) % 3.85/4.05 (define @t285 () (tptp.subset @t224 tptp.empty_set)) % 3.85/4.05 (define @t286 () (tptp.domain_of @t157)) % 3.85/4.05 (define @t287 () (and (tptp.subset @t286 @t159) @t285)) % 3.85/4.05 (define @t288 () (tptp.ilf_type tptp.empty_set tptp.set_type)) % 3.85/4.05 (define @t289 () (not @t288)) % 3.85/4.05 (define @t290 () (or @t193 @t289 @t190 @t287)) % 3.85/4.05 (define @t291 () (= tptp.empty_set @t224)) % 3.85/4.05 (define @t292 () (not @t285)) % 3.85/4.05 (define @t293 () (not @t258)) % 3.85/4.05 (define @t294 () (or @t293 @t292 @t291)) % 3.85/4.05 (define @t295 () (not @t291)) % 3.85/4.05 (define @t296 () (and (not (= tptp.empty_set @t286)) @t295)) % 3.85/4.05 (define @t297 () (not @t296)) % 3.85/4.05 (define @t298 () (not @t211)) % 3.85/4.05 (define @t299 () (or @t298 @t296 @t188)) % 3.85/4.05 (define @t300 () (not @t210)) % 3.85/4.05 (define @t301 () (@list true false)) % 3.85/4.05 (define @t302 () (not @t209)) % 3.85/4.05 (define @t303 () (or @t193 @t195 @t201 @t209)) % 3.85/4.05 (define @t304 () (not @t303)) % 3.85/4.05 (define @t305 () (forall @t94 @t91)) % 3.85/4.05 (assume @p1 @t8) % 3.85/4.05 (assume @p2 @t15) % 3.85/4.05 (assume @p3 @t30) % 3.85/4.05 (assume @p4 (forall @t7 (=> @t5 (not (tptp.member @t1 tptp.empty_set))))) % 3.85/4.05 (assume @p5 (tptp.empty tptp.empty_set)) % 3.85/4.05 (assume @p6 (tptp.type tptp.empty_set tptp.set_type)) % 3.85/4.05 (assume @p7 @t44) % 3.85/4.05 (assume @p8 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (exists @t23 @t46)))))) % 3.85/4.05 (assume @p9 (forall @t7 (=> @t13 (forall @t27 (=> @t51 (= @t50 (forall @t23 (=> @t49 (forall @t36 (=> @t48 (= (tptp.member @t47 @t1) (tptp.member @t47 @t16)))))))))))) % 3.85/4.05 (assume @p10 (forall @t7 (=> @t13 (tptp.ilf_type @t10 tptp.set_type)))) % 3.85/4.05 (assume @p11 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (tptp.ilf_type @t31 tptp.set_type)))))) % 3.85/4.05 (assume @p12 (forall @t7 (=> @t13 (tptp.ilf_type @t9 tptp.set_type)))) % 3.85/4.05 (assume @p13 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (tptp.ilf_type (tptp.ordered_pair @t1 @t16) tptp.set_type)))))) % 3.85/4.05 (assume @p14 @t54) % 3.85/4.05 (assume @p15 (exists @t7 @t13)) % 3.85/4.05 (assume @p16 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (= @t57 (tptp.ilf_type @t16 (tptp.member_type @t55)))))))) % 3.85/4.05 (assume @p17 (forall @t7 (=> @t5 (exists @t27 @t57)))) % 3.85/4.05 (assume @p18 (forall @t7 (=> @t13 (forall @t27 (=> @t51 (=> @t50 (= @t16 @t1))))))) % 3.85/4.05 (assume @p19 (forall @t7 (=> @t13 (= @t1 @t1)))) % 3.85/4.05 (assume @p20 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (= (tptp.subset @t1 @t16) @t58)))))) % 3.85/4.05 (assume @p21 (forall @t7 (=> @t5 (tptp.subset @t1 @t1)))) % 3.85/4.05 (assume @p22 (forall @t7 (=> @t5 (= @t60 (forall @t27 (=> @t25 (not @t59))))))) % 3.85/4.05 (assume @p23 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (= (tptp.member @t1 (tptp.power_set @t16)) @t58)))))) % 3.85/4.05 (assume @p24 (forall @t7 (=> @t5 (and (not (tptp.empty @t55)) (tptp.ilf_type @t55 tptp.set_type))))) % 3.85/4.05 (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))))))) % 3.85/4.05 (assume @p26 (forall @t7 (=> (and (not @t60) @t5) (exists @t27 (tptp.ilf_type @t16 (tptp.member_type @t1)))))) % 3.85/4.05 (assume @p27 (forall @t7 (=> @t5 (= @t52 (forall @t27 (=> @t25 (=> @t59 (exists @t23 (and @t49 (exists @t36 (and @t48 (= @t16 @t47)))))))))))) % 3.85/4.05 (assume @p28 (forall @t7 (=> (and @t60 @t5) @t52))) % 3.85/4.05 (assume @p29 @t66) % 3.85/4.05 (assume @p30 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (forall @t23 (=> @t22 (= @t67 @t19)))))))) % 3.85/4.05 (assume @p31 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (forall @t23 (=> @t22 (tptp.ilf_type @t67 @t56)))))))) % 3.85/4.05 (assume @p32 @t74) % 3.85/4.05 (assume @p33 (forall @t7 (=> @t5 (forall @t27 (=> @t25 (forall @t23 (=> @t22 (tptp.ilf_type @t68 (tptp.subset_type @t16))))))))) % 3.85/4.05 (assume @p34 (forall @t7 @t5)) % 3.85/4.05 (assume @p35 @t84) % 3.85/4.05 (assume @p36 true) % 3.85/4.05 (step @p37 :rule aci_norm :args ((= @t93 @t91))) % 3.85/4.05 (step @p38 :rule cong :premises (@p37) :args (@t95)) % 3.85/4.05 (step @p39 :rule quant-merge-prenex :args ((= (forall @t7 @t97) @t95))) % 3.85/4.05 (step @p40 :rule alpha_equiv :args (@t98 (@list @t87 @t85) (@list @t16 @t99))) % 3.85/4.05 (step @p41 :rule refl :args (@t90)) % 3.85/4.05 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t100)) % 3.85/4.05 (step @p43 :rule quant-miniscope-or :args ((= @t97 @t100))) % 3.85/4.05 (step @p44 :rule trans :premises (@p43 @p42)) % 3.85/4.05 (step @p45 :rule symm :premises (@p44)) % 3.85/4.05 (step @p46 :rule cong :premises (@p45) :args ((forall @t7 (or @t90 @t106)))) % 3.85/4.05 (step @p47 :rule trans :premises (@p46 @p39)) % 3.85/4.05 (step @p48 :rule trans :premises (@p47 @p38)) % 3.85/4.05 (step @p49 :rule bool-impl-elim :args (@t5 @t106)) % 3.85/4.05 (step @p50 :rule cong :premises (@p49) :args ((forall @t7 (=> @t5 @t106)))) % 3.85/4.05 (step @p51 :rule trans :premises (@p50 @p48)) % 3.85/4.05 (step @p52 :rule aci_norm :args ((= @t108 @t104))) % 3.85/4.05 (step @p53 :rule cong :premises (@p52) :args (@t109)) % 3.85/4.05 (step @p54 :rule quant-merge-prenex :args ((= (forall @t27 @t111) @t109))) % 3.85/4.05 (step @p55 :rule alpha_equiv :args (@t112 (@list @t99) @t113)) % 3.85/4.05 (step @p56 :rule refl :args (@t103)) % 3.85/4.05 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t114)) % 3.85/4.05 (step @p58 :rule quant-miniscope-or :args ((= @t111 @t114))) % 3.85/4.05 (step @p59 :rule trans :premises (@p58 @p57)) % 3.85/4.05 (step @p60 :rule symm :premises (@p59)) % 3.85/4.05 (step @p61 :rule cong :premises (@p60) :args ((forall @t27 (or @t103 @t116)))) % 3.85/4.05 (step @p62 :rule trans :premises (@p61 @p54)) % 3.85/4.05 (step @p63 :rule trans :premises (@p62 @p53)) % 3.85/4.05 (step @p64 :rule bool-impl-elim :args (@t25 @t116)) % 3.85/4.05 (step @p65 :rule cong :premises (@p64) :args ((forall @t27 (=> @t25 @t116)))) % 3.85/4.05 (step @p66 :rule trans :premises (@p65 @p63)) % 3.85/4.05 (step @p67 :rule bool-impl-elim :args (@t38 @t61)) % 3.85/4.05 (step @p68 :rule cong :premises (@p67) :args (@t62)) % 3.85/4.05 (step @p69 :rule refl :args (@t25)) % 3.85/4.05 (step @p70 :rule cong :premises (@p69 @p68) :args (@t63)) % 3.85/4.05 (step @p71 :rule cong :premises (@p70) :args (@t64)) % 3.85/4.05 (step @p72 :rule trans :premises (@p71 @p66)) % 3.85/4.05 (step @p73 :rule refl :args (@t5)) % 3.85/4.05 (step @p74 :rule cong :premises (@p73 @p72) :args (@t65)) % 3.85/4.05 (step @p75 :rule cong :premises (@p74) :args (@t66)) % 3.85/4.05 (step @p76 :rule trans :premises (@p75 @p51)) % 3.85/4.05 (step @p77 :rule eq_resolve :premises (@p29 @p76)) % 3.85/4.05 (step @p78 :rule aci_norm :args ((= @t125 (or @t90 @t123 @t122)))) % 3.85/4.05 (step @p79 :rule cong :premises (@p78) :args (@t126)) % 3.85/4.05 (step @p80 :rule quant-merge-prenex :args ((= (forall @t7 @t128) @t126))) % 3.85/4.05 (step @p81 :rule alpha_equiv :args (@t129 (@list @t117 @t121 @t119) (@list @t16 @t131 @t130))) % 3.85/4.05 (step @p82 :rule nary_cong :premises (@p41 @p81) :args (@t132)) % 3.85/4.05 (step @p83 :rule quant-miniscope-or :args ((= @t128 @t132))) % 3.85/4.05 (step @p84 :rule trans :premises (@p83 @p82)) % 3.85/4.05 (step @p85 :rule symm :premises (@p84)) % 3.85/4.05 (step @p86 :rule cong :premises (@p85) :args ((forall @t7 (or @t90 @t137)))) % 3.85/4.05 (step @p87 :rule trans :premises (@p86 @p80)) % 3.85/4.05 (step @p88 :rule trans :premises (@p87 @p79)) % 3.85/4.05 (step @p89 :rule bool-impl-elim :args (@t5 @t137)) % 3.85/4.05 (step @p90 :rule cong :premises (@p89) :args ((forall @t7 (=> @t5 @t137)))) % 3.85/4.05 (step @p91 :rule trans :premises (@p90 @p88)) % 3.85/4.05 (step @p92 :rule quant-merge-prenex :args ((= (forall @t27 @t139) @t137))) % 3.85/4.05 (step @p93 :rule alpha_equiv :args (@t140 (@list @t130) (@list @t33))) % 3.85/4.05 (step @p94 :rule quant-unused-vars :args ((= @t141 @t140))) % 3.85/4.05 (step @p95 :rule trans :premises (@p94 @p93)) % 3.85/4.05 (step @p96 :rule alpha_equiv :args (@t142 (@list @t131) @t113)) % 3.85/4.05 (step @p97 :rule quant-unused-vars :args ((= @t143 @t142))) % 3.85/4.05 (step @p98 :rule trans :premises (@p97 @p96)) % 3.85/4.05 (step @p99 :rule nary_cong :premises (@p98 @p95) :args (@t144)) % 3.85/4.05 (step @p100 :rule quant-miniscope-and :args ((= @t145 @t144))) % 3.85/4.05 (step @p101 :rule trans :premises (@p100 @p99)) % 3.85/4.05 (step @p102 :rule nary_cong :premises (@p56 @p101) :args (@t146)) % 3.85/4.05 (step @p103 :rule quant-miniscope-or :args ((= @t139 @t146))) % 3.85/4.05 (step @p104 :rule trans :premises (@p103 @p102)) % 3.85/4.05 (step @p105 :rule symm :premises (@p104)) % 3.85/4.05 (step @p106 :rule cong :premises (@p105) :args ((forall @t27 (or @t103 @t147)))) % 3.85/4.05 (step @p107 :rule trans :premises (@p106 @p92)) % 3.85/4.05 (step @p108 :rule bool-impl-elim :args (@t25 @t147)) % 3.85/4.05 (step @p109 :rule cong :premises (@p108) :args ((forall @t27 (=> @t25 @t147)))) % 3.85/4.05 (step @p110 :rule trans :premises (@p109 @p107)) % 3.85/4.05 (step @p111 :rule bool-impl-elim :args (@t35 @t34)) % 3.85/4.05 (step @p112 :rule cong :premises (@p111) :args (@t37)) % 3.85/4.05 (step @p113 :rule bool-impl-elim :args (@t38 @t22)) % 3.85/4.05 (step @p114 :rule cong :premises (@p113) :args (@t39)) % 3.85/4.05 (step @p115 :rule nary_cong :premises (@p114 @p112) :args (@t40)) % 3.85/4.05 (step @p116 :rule cong :premises (@p69 @p115) :args (@t41)) % 3.85/4.05 (step @p117 :rule cong :premises (@p116) :args (@t42)) % 3.85/4.05 (step @p118 :rule trans :premises (@p117 @p110)) % 3.85/4.05 (step @p119 :rule cong :premises (@p73 @p118) :args (@t43)) % 3.85/4.05 (step @p120 :rule cong :premises (@p119) :args (@t44)) % 3.85/4.05 (step @p121 :rule trans :premises (@p120 @p91)) % 3.85/4.05 (step @p122 :rule eq_resolve :premises (@p7 @p121)) % 3.85/4.05 (step @p123 :rule instantiate :premises (@p122) :args ((@list @t159 @t158 @t157 @t157))) % 3.85/4.05 (step @p124 :rule aci_norm :args ((= @t161 @t154))) % 3.85/4.05 (step @p125 :rule cong :premises (@p124) :args (@t162)) % 3.85/4.05 (step @p126 :rule quant-merge-prenex :args ((= (forall @t7 @t164) @t162))) % 3.85/4.05 (step @p127 :rule alpha_equiv :args (@t165 (@list @t150 @t148) (@list @t16 @t166))) % 3.85/4.05 (step @p128 :rule nary_cong :premises (@p41 @p127) :args (@t167)) % 3.85/4.05 (step @p129 :rule quant-miniscope-or :args ((= @t164 @t167))) % 3.85/4.05 (step @p130 :rule trans :premises (@p129 @p128)) % 3.85/4.05 (step @p131 :rule symm :premises (@p130)) % 3.85/4.05 (step @p132 :rule cong :premises (@p131) :args ((forall @t7 (or @t90 @t173)))) % 3.85/4.05 (step @p133 :rule trans :premises (@p132 @p126)) % 3.85/4.05 (step @p134 :rule trans :premises (@p133 @p125)) % 3.85/4.05 (step @p135 :rule bool-impl-elim :args (@t5 @t173)) % 3.85/4.05 (step @p136 :rule cong :premises (@p135) :args ((forall @t7 (=> @t5 @t173)))) % 3.85/4.05 (step @p137 :rule trans :premises (@p136 @p134)) % 3.85/4.05 (step @p138 :rule aci_norm :args ((= @t175 @t171))) % 3.85/4.05 (step @p139 :rule cong :premises (@p138) :args (@t176)) % 3.85/4.05 (step @p140 :rule quant-merge-prenex :args ((= (forall @t27 @t178) @t176))) % 3.85/4.05 (step @p141 :rule alpha_equiv :args (@t179 (@list @t166) @t113)) % 3.85/4.05 (step @p142 :rule nary_cong :premises (@p56 @p141) :args (@t180)) % 3.85/4.05 (step @p143 :rule quant-miniscope-or :args ((= @t178 @t180))) % 3.85/4.05 (step @p144 :rule trans :premises (@p143 @p142)) % 3.85/4.05 (step @p145 :rule symm :premises (@p144)) % 3.85/4.05 (step @p146 :rule cong :premises (@p145) :args ((forall @t27 (or @t103 @t185)))) % 3.85/4.05 (step @p147 :rule trans :premises (@p146 @p140)) % 3.85/4.05 (step @p148 :rule trans :premises (@p147 @p139)) % 3.85/4.05 (step @p149 :rule bool-impl-elim :args (@t25 @t185)) % 3.85/4.05 (step @p150 :rule cong :premises (@p149) :args ((forall @t27 (=> @t25 @t185)))) % 3.85/4.05 (step @p151 :rule trans :premises (@p150 @p148)) % 3.85/4.05 (step @p152 :rule aci_norm :args ((= (or @t183 (or @t182 @t181)) @t184))) % 3.85/4.05 (step @p153 :rule bool-impl-elim :args (@t76 @t181)) % 3.85/4.05 (step @p154 :rule refl :args (@t183)) % 3.85/4.05 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t183 @t186))) % 3.85/4.05 (step @p156 :rule trans :premises (@p155 @p152)) % 3.85/4.05 (step @p157 :rule bool-impl-elim :args (@t46 @t186)) % 3.85/4.05 (step @p158 :rule trans :premises (@p157 @p156)) % 3.85/4.05 (step @p159 :rule cong :premises (@p158) :args ((forall @t23 (=> @t46 @t186)))) % 3.85/4.05 (step @p160 :rule eq-symm :args (@t17 tptp.empty_set)) % 3.85/4.05 (step @p161 :rule refl :args (@t76)) % 3.85/4.05 (step @p162 :rule cong 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:args (@t258)) % 3.85/4.05 (step @p299 :rule trans :premises (@p298 @p250)) % 3.85/4.05 (step @p300 :rule true_elim :premises (@p299)) % 3.85/4.05 (step @p301 :rule aci_norm :args ((= @t265 (or @t90 @t263 @t262 @t261)))) % 3.85/4.05 (step @p302 :rule cong :premises (@p301) :args (@t266)) % 3.85/4.05 (step @p303 :rule quant-merge-prenex :args ((= (forall @t7 @t268) @t266))) % 3.85/4.05 (step @p304 :rule alpha_equiv :args (@t269 (@list @t259 @t260) (@list @t16 @t270))) % 3.85/4.05 (step @p305 :rule nary_cong :premises (@p41 @p304) :args (@t271)) % 3.85/4.05 (step @p306 :rule quant-miniscope-or :args ((= @t268 @t271))) % 3.85/4.05 (step @p307 :rule trans :premises (@p306 @p305)) % 3.85/4.05 (step @p308 :rule symm :premises (@p307)) % 3.85/4.05 (step @p309 :rule cong :premises (@p308) :args ((forall @t7 (or @t90 @t276)))) % 3.85/4.05 (step @p310 :rule trans :premises (@p309 @p303)) % 3.85/4.05 (step @p311 :rule trans :premises (@p310 @p302)) % 3.85/4.05 (step @p312 :rule bool-impl-elim 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(@t25 @t284)) % 3.85/4.05 (step @p327 :rule cong :premises (@p326) :args ((forall @t27 (=> @t25 @t284)))) % 3.85/4.05 (step @p328 :rule trans :premises (@p327 @p325)) % 3.85/4.05 (step @p329 :rule bool-impl-elim :args (@t22 @t20)) % 3.85/4.05 (step @p330 :rule cong :premises (@p329) :args (@t24)) % 3.85/4.05 (step @p331 :rule cong :premises (@p69 @p330) :args (@t26)) % 3.85/4.05 (step @p332 :rule cong :premises (@p331) :args (@t28)) % 3.85/4.05 (step @p333 :rule trans :premises (@p332 @p328)) % 3.85/4.05 (step @p334 :rule cong :premises (@p73 @p333) :args (@t29)) % 3.85/4.05 (step @p335 :rule cong :premises (@p334) :args (@t30)) % 3.85/4.05 (step @p336 :rule trans :premises (@p335 @p314)) % 3.85/4.05 (step @p337 :rule eq_resolve :premises (@p3 @p336)) % 3.85/4.05 (step @p338 :rule instantiate :premises (@p337) :args ((@list @t159 tptp.empty_set @t157))) % 3.85/4.05 (step @p339 :rule instantiate :premises (@p34) :args ((@list tptp.empty_set))) % 3.85/4.05 (step @p340 :rule bool-double-not-elim :args (@t189)) % 3.85/4.05 (step @p341 :rule nary_cong :premises (@p177 @p340) :args ((or @t196 (not @t190)))) % 3.85/4.05 (step @p342 :rule cnf_or_neg :args (@t196 3)) % 3.85/4.05 (step @p343 :rule eq_resolve :premises (@p342 @p341)) % 3.85/4.05 (step @p344 :rule reordering :premises (@p343) :args ((or @t189 @t196))) % 3.85/4.05 (step @p345 :rule chain_m_resolution :premises (@p344 @p175) :args (@t189 @t197 @t198)) % 3.85/4.05 (step @p346 :rule cnf_or_pos :args (@t290)) % 3.85/4.05 (step @p347 :rule reordering :premises (@p346) :args ((or @t193 @t190 @t289 @t287 (not @t290)))) % 3.85/4.05 (step @p348 :rule chain_m_resolution :premises (@p347 @p182 @p345 @p339 @p338) :args (@t287 @t257 (@list @t187 @t189 @t288 @t290))) % 3.85/4.05 (step @p349 :rule cnf_and_pos :args (@t287 1)) % 3.85/4.05 (step @p350 :rule reordering :premises (@p349) :args ((or @t285 (not @t287)))) % 3.85/4.05 (step @p351 :rule chain_m_resolution :premises (@p350 @p348) :args (@t285 @t205 (@list @t287))) % 3.85/4.05 (step @p352 :rule cnf_or_pos :args (@t294)) % 3.85/4.05 (step @p353 :rule reordering :premises (@p352) :args ((or @t292 @t291 @t293 (not @t294)))) % 3.85/4.05 (step @p354 :rule chain_m_resolution :premises (@p353 @p351 @p300 @p248) :args (@t291 @t204 (@list @t285 @t258 @t294))) % 3.85/4.05 (step @p355 :rule cnf_and_pos :args (@t296 1)) % 3.85/4.05 (step @p356 :rule reordering :premises (@p355) :args ((or @t295 @t297))) % 3.85/4.05 (step @p357 :rule chain_m_resolution :premises (@p356 @p354) :args (@t297 @t205 (@list @t291))) % 3.85/4.05 (step @p358 :rule cnf_or_neg :args (@t196 4)) % 3.85/4.05 (step @p359 :rule chain_m_resolution :premises (@p358 @p175) :args ((not @t188) @t197 @t198)) % 3.85/4.05 (step @p360 :rule cnf_or_pos :args (@t299)) % 3.85/4.05 (step @p361 :rule reordering :premises (@p360) :args ((or @t188 @t298 @t296 (not @t299)))) % 3.85/4.07 (step @p362 :rule chain_m_resolution :premises (@p361 @p359 @p357 @p234) :args (@t298 (@list true true false) (@list @t188 @t296 @t299))) % 3.85/4.07 (step @p363 :rule cnf_equiv_pos2 :args (@t212)) % 3.85/4.07 (step @p364 :rule reordering :premises (@p363) :args ((or @t211 @t300 (not @t212)))) % 3.85/4.07 (step @p365 :rule chain_m_resolution :premises (@p364 @p362 @p211) :args (@t300 @t301 (@list @t211 @t212))) % 3.85/4.07 (step @p366 :rule cnf_and_neg :args (@t210)) % 3.85/4.07 (step @p367 :rule reordering :premises (@p366) :args ((or @t213 @t210 @t302))) % 3.85/4.07 (step @p368 :rule chain_m_resolution :premises (@p367 @p208 @p365) :args (@t302 (@list false true) (@list @t208 @t210))) % 3.85/4.07 (step @p369 :rule cnf_or_pos :args (@t303)) % 3.85/4.07 (step @p370 :rule reordering :premises (@p369) :args ((or @t195 @t193 @t209 @t201 @t304))) % 3.85/4.07 (step @p371 :rule chain_m_resolution :premises (@p370 @p188 @p182 @p368 @p203) :args (@t304 (@list false false true false) (@list @t194 @t187 @t209 @t199))) % 3.85/4.07 (assume-push @p378 @t305) % 3.85/4.07 (step @p373 :rule instantiate :premises (@p77) :args (@t254)) % 3.85/4.07 (step-pop @p379 :rule scope :premises (@p373)) % 3.85/4.07 (step @p374 :rule process_scope :premises (@p379) :args (@t303)) % 3.85/4.07 (step @p376 :rule implies_elim :premises (@p374)) % 3.85/4.07 (step @p377 false :rule chain_m_resolution :premises (@p376 @p371 @p77) :args (false @t301 (@list @t303 @t305))) % 3.85/4.07 ) % 3.85/4.07 % SZS output end Proof % 3.85/4.07 % cvc5 exiting %------------------------------------------------------------------------------