%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET669+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 : n026.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 08:48:24 AM UTC 2026 % Result : Theorem 35.64s 35.83s % Output : Proof 35.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET669+3 : TPTP v9.2.1. Released v2.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:06:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 35.64/35.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.64/35.83 --- Run --no-e-matching --full-saturate-quant at 6... % 35.64/35.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.64/35.83 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.64/35.83 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.64/35.83 % SZS status Theorem % 35.64/35.83 % SZS output start Proof % 35.64/35.83 ( % 35.64/35.83 (declare-sort $$unsorted 0) % 35.64/35.83 (declare-const tptp.empty (-> $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.member_type (-> $$unsorted $$unsorted)) % 35.64/35.83 (declare-const tptp.relation_like (-> $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 35.64/35.83 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.ilf_type (-> $$unsorted $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.64/35.83 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 35.64/35.83 (declare-const tptp.set_type $$unsorted) % 35.64/35.83 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 35.64/35.83 (declare-const tptp.binary_relation_type $$unsorted) % 35.64/35.83 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.64/35.83 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.identity_relation_of (-> $$unsorted $$unsorted)) % 35.64/35.83 (declare-const tptp.relation_type (-> $$unsorted $$unsorted $$unsorted)) % 35.64/35.83 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.64/35.83 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 35.64/35.83 (declare-const tptp.subset_type (-> $$unsorted $$unsorted)) % 35.64/35.83 (define @t1 () (@var "C" $$unsorted)) % 35.64/35.83 (define @t2 () (@var "B" $$unsorted)) % 35.64/35.83 (define @t3 () (= @t2 @t1)) % 35.64/35.83 (define @t4 () (tptp.subset @t1 @t2)) % 35.64/35.83 (define @t5 () (tptp.subset @t2 @t1)) % 35.64/35.83 (define @t6 () (and @t5 @t4)) % 35.64/35.83 (define @t7 () (=> @t6 @t3)) % 35.64/35.83 (define @t8 () (tptp.ilf_type @t1 tptp.set_type)) % 35.64/35.83 (define @t9 () (@list @t1)) % 35.64/35.83 (define @t10 () (forall @t9 (=> @t8 @t7))) % 35.64/35.83 (define @t11 () (tptp.ilf_type @t2 tptp.set_type)) % 35.64/35.83 (define @t12 () (=> @t11 @t10)) % 35.64/35.83 (define @t13 () (@list @t2)) % 35.64/35.83 (define @t14 () (forall @t13 @t12)) % 35.64/35.83 (define @t15 () (@var "E" $$unsorted)) % 35.64/35.83 (define @t16 () (@var "D" $$unsorted)) % 35.64/35.83 (define @t17 () (and (tptp.subset @t16 (tptp.domain @t2 @t1 @t15)) (tptp.subset @t16 (tptp.range @t2 @t1 @t15)))) % 35.64/35.83 (define @t18 () (tptp.identity_relation_of @t16)) % 35.64/35.83 (define @t19 () (tptp.subset @t18 @t15)) % 35.64/35.83 (define @t20 () (=> @t19 @t17)) % 35.64/35.83 (define @t21 () (tptp.relation_type @t2 @t1)) % 35.64/35.83 (define @t22 () (tptp.ilf_type @t15 @t21)) % 35.64/35.83 (define @t23 () (@list @t15)) % 35.64/35.83 (define @t24 () (forall @t23 (=> @t22 @t20))) % 35.64/35.83 (define @t25 () (tptp.ilf_type @t16 tptp.set_type)) % 35.64/35.83 (define @t26 () (=> @t25 @t24)) % 35.64/35.83 (define @t27 () (@list @t16)) % 35.64/35.83 (define @t28 () (forall @t27 @t26)) % 35.64/35.83 (define @t29 () (=> @t8 @t28)) % 35.64/35.83 (define @t30 () (forall @t9 @t29)) % 35.64/35.83 (define @t31 () (=> @t11 @t30)) % 35.64/35.83 (define @t32 () (forall @t13 @t31)) % 35.64/35.83 (define @t33 () (tptp.member @t1 @t2)) % 35.64/35.83 (define @t34 () (tptp.identity_relation_of @t2)) % 35.64/35.83 (define @t35 () (tptp.cross_product @t2 @t1)) % 35.64/35.83 (define @t36 () (tptp.subset_type @t35)) % 35.64/35.83 (define @t37 () (tptp.ilf_type @t16 @t21)) % 35.64/35.83 (define @t38 () (tptp.ilf_type @t16 @t36)) % 35.64/35.83 (define @t39 () (tptp.member @t16 @t1)) % 35.64/35.83 (define @t40 () (tptp.member @t16 @t2)) % 35.64/35.83 (define @t41 () (=> @t40 @t39)) % 35.64/35.83 (define @t42 () (forall @t27 (=> @t25 @t41))) % 35.64/35.83 (define @t43 () (= @t5 @t42)) % 35.64/35.83 (define @t44 () (=> @t8 @t43)) % 35.64/35.83 (define @t45 () (forall @t9 @t44)) % 35.64/35.83 (define @t46 () (=> @t11 @t45)) % 35.64/35.83 (define @t47 () (forall @t13 @t46)) % 35.64/35.83 (define @t48 () (tptp.ordered_pair @t16 @t15)) % 35.64/35.83 (define @t49 () (tptp.ilf_type @t15 tptp.set_type)) % 35.64/35.83 (define @t50 () (tptp.ilf_type @t2 tptp.binary_relation_type)) % 35.64/35.83 (define @t51 () (tptp.relation_like @t2)) % 35.64/35.83 (define @t52 () (tptp.power_set @t2)) % 35.64/35.83 (define @t53 () (tptp.member_type @t52)) % 35.64/35.83 (define @t54 () (tptp.subset_type @t2)) % 35.64/35.83 (define @t55 () (tptp.ilf_type @t1 @t54)) % 35.64/35.83 (define @t56 () (= @t55 (tptp.ilf_type @t1 @t53))) % 35.64/35.83 (define @t57 () (forall @t9 (=> @t8 @t56))) % 35.64/35.83 (define @t58 () (=> @t11 @t57)) % 35.64/35.83 (define @t59 () (forall @t13 @t58)) % 35.64/35.83 (define @t60 () (tptp.subset @t2 @t2)) % 35.64/35.83 (define @t61 () (tptp.member @t2 (tptp.power_set @t1))) % 35.64/35.83 (define @t62 () (=> @t8 (= @t61 @t42))) % 35.64/35.83 (define @t63 () (forall @t9 @t62)) % 35.64/35.83 (define @t64 () (=> @t11 @t63)) % 35.64/35.83 (define @t65 () (forall @t13 @t64)) % 35.64/35.83 (define @t66 () (and (not (tptp.empty @t52)) (tptp.ilf_type @t52 tptp.set_type))) % 35.64/35.83 (define @t67 () (forall @t13 (=> @t11 @t66))) % 35.64/35.83 (define @t68 () (= (tptp.ilf_type @t2 (tptp.member_type @t1)) (tptp.member @t2 @t1))) % 35.64/35.83 (define @t69 () (tptp.empty @t1)) % 35.64/35.83 (define @t70 () (not @t69)) % 35.64/35.83 (define @t71 () (and @t70 @t8)) % 35.64/35.83 (define @t72 () (forall @t9 (=> @t71 @t68))) % 35.64/35.83 (define @t73 () (=> @t11 @t72)) % 35.64/35.83 (define @t74 () (forall @t13 @t73)) % 35.64/35.83 (define @t75 () (tptp.empty @t2)) % 35.64/35.83 (define @t76 () (tptp.domain @t2 @t1 @t16)) % 35.64/35.83 (define @t77 () (tptp.range @t2 @t1 @t16)) % 35.64/35.83 (define @t78 () (tptp.subset_type @t1)) % 35.64/35.83 (define @t79 () (tptp.ilf_type @t77 @t78)) % 35.64/35.83 (define @t80 () (forall @t27 (=> @t37 @t79))) % 35.64/35.83 (define @t81 () (=> @t8 @t80)) % 35.64/35.83 (define @t82 () (forall @t9 @t81)) % 35.64/35.83 (define @t83 () (=> @t11 @t82)) % 35.64/35.83 (define @t84 () (forall @t13 @t83)) % 35.64/35.83 (define @t85 () (and (tptp.subset @t1 @t76) (= @t1 @t77))) % 35.64/35.83 (define @t86 () (tptp.identity_relation_of @t1)) % 35.64/35.83 (define @t87 () (tptp.subset @t86 @t16)) % 35.64/35.83 (define @t88 () (=> @t87 @t85)) % 35.64/35.83 (define @t89 () (forall @t27 (=> @t37 @t88))) % 35.64/35.83 (define @t90 () (=> @t8 @t89)) % 35.64/35.83 (define @t91 () (forall @t9 @t90)) % 35.64/35.83 (define @t92 () (=> @t11 @t91)) % 35.64/35.83 (define @t93 () (forall @t13 @t92)) % 35.64/35.83 (define @t94 () (not @t93)) % 35.64/35.83 (define @t95 () (@var "BOUND_VARIABLE_7945" $$unsorted)) % 35.64/35.83 (define @t96 () (not @t40)) % 35.64/35.83 (define @t97 () (not @t25)) % 35.64/35.83 (define @t98 () (= (tptp.subset @t2 @t95) (forall @t27 (or @t97 @t96 (tptp.member @t16 @t95))))) % 35.64/35.83 (define @t99 () (not (tptp.ilf_type @t95 tptp.set_type))) % 35.64/35.83 (define @t100 () (not @t11)) % 35.64/35.83 (define @t101 () (or @t99 @t98)) % 35.64/35.83 (define @t102 () (or @t100 @t101)) % 35.64/35.83 (define @t103 () (forall (@list @t2 @t95) @t102)) % 35.64/35.83 (define @t104 () (@list @t95)) % 35.64/35.83 (define @t105 () (forall @t104 @t102)) % 35.64/35.83 (define @t106 () (forall @t104 @t101)) % 35.64/35.83 (define @t107 () (@list @t1)) % 35.64/35.83 (define @t108 () (or @t100 @t106)) % 35.64/35.83 (define @t109 () (or @t97 @t96 @t39)) % 35.64/35.83 (define @t110 () (forall @t27 @t109)) % 35.64/35.83 (define @t111 () (= @t5 @t110)) % 35.64/35.83 (define @t112 () (not @t8)) % 35.64/35.83 (define @t113 () (forall @t9 (or @t112 @t111))) % 35.64/35.83 (define @t114 () (@var "BOUND_VARIABLE_8474" $$unsorted)) % 35.64/35.83 (define @t115 () (@var "BOUND_VARIABLE_8472" $$unsorted)) % 35.64/35.83 (define @t116 () (and (tptp.subset @t115 (tptp.domain @t2 @t115 @t114)) (= @t115 (tptp.range @t2 @t115 @t114)))) % 35.64/35.83 (define @t117 () (not (tptp.subset (tptp.identity_relation_of @t115) @t114))) % 35.64/35.83 (define @t118 () (not (tptp.ilf_type @t114 (tptp.relation_type @t2 @t115)))) % 35.64/35.83 (define @t119 () (not (tptp.ilf_type @t115 tptp.set_type))) % 35.64/35.83 (define @t120 () (or @t100 @t119 @t118 @t117 @t116)) % 35.64/35.83 (define @t121 () (@list @t2 @t115 @t114)) % 35.64/35.83 (define @t122 () (forall @t121 @t120)) % 35.64/35.83 (define @t123 () (@quantifiers_skolemize @t122 1)) % 35.64/35.83 (define @t124 () (@quantifiers_skolemize @t122 2)) % 35.64/35.83 (define @t125 () (@quantifiers_skolemize @t122 0)) % 35.64/35.83 (define @t126 () (tptp.range @t125 @t123 @t124)) % 35.64/35.83 (define @t127 () (@list @t126 @t123)) % 35.64/35.83 (define @t128 () (or @t119 @t118 @t117 @t116)) % 35.64/35.83 (define @t129 () (or @t100 @t128)) % 35.64/35.83 (define @t130 () (forall @t121 @t129)) % 35.64/35.83 (define @t131 () (@list @t115 @t114)) % 35.64/35.83 (define @t132 () (forall @t131 @t129)) % 35.64/35.83 (define @t133 () (forall @t131 @t128)) % 35.64/35.83 (define @t134 () (@var "BOUND_VARIABLE_8451" $$unsorted)) % 35.64/35.83 (define @t135 () (or @t100 @t133)) % 35.64/35.83 (define @t136 () (and (tptp.subset @t1 (tptp.domain @t2 @t1 @t134)) (= @t1 (tptp.range @t2 @t1 @t134)))) % 35.64/35.83 (define @t137 () (not (tptp.subset @t86 @t134))) % 35.64/35.83 (define @t138 () (not (tptp.ilf_type @t134 @t21))) % 35.64/35.83 (define @t139 () (or @t112 @t138 @t137 @t136)) % 35.64/35.83 (define @t140 () (@list @t1 @t134)) % 35.64/35.83 (define @t141 () (forall @t140 @t139)) % 35.64/35.83 (define @t142 () (or @t138 @t137 @t136)) % 35.64/35.83 (define @t143 () (or @t112 @t142)) % 35.64/35.83 (define @t144 () (forall @t140 @t143)) % 35.64/35.83 (define @t145 () (@list @t134)) % 35.64/35.83 (define @t146 () (forall @t145 @t143)) % 35.64/35.83 (define @t147 () (forall @t145 @t142)) % 35.64/35.83 (define @t148 () (@list @t16)) % 35.64/35.83 (define @t149 () (or @t112 @t147)) % 35.64/35.83 (define @t150 () (not @t87)) % 35.64/35.83 (define @t151 () (not @t37)) % 35.64/35.83 (define @t152 () (or @t151 @t150 @t85)) % 35.64/35.83 (define @t153 () (forall @t27 @t152)) % 35.64/35.83 (define @t154 () (tptp.ilf_type @t123 tptp.set_type)) % 35.64/35.83 (define @t155 () (= @t123 @t126)) % 35.64/35.83 (define @t156 () (tptp.subset @t123 (tptp.domain @t125 @t123 @t124))) % 35.64/35.83 (define @t157 () (and @t156 @t155)) % 35.64/35.83 (define @t158 () (tptp.subset (tptp.identity_relation_of @t123) @t124)) % 35.64/35.83 (define @t159 () (not @t158)) % 35.64/35.83 (define @t160 () (tptp.ilf_type @t124 (tptp.relation_type @t125 @t123))) % 35.64/35.83 (define @t161 () (not @t160)) % 35.64/35.83 (define @t162 () (not @t154)) % 35.64/35.83 (define @t163 () (tptp.ilf_type @t125 tptp.set_type)) % 35.64/35.83 (define @t164 () (not @t163)) % 35.64/35.83 (define @t165 () (or @t164 @t162 @t161 @t159 @t157)) % 35.64/35.83 (define @t166 () (@list true)) % 35.64/35.83 (define @t167 () (@list @t165)) % 35.64/35.83 (define @t168 () (forall @t27 (or @t97 (not (tptp.member @t16 @t126)) (tptp.member @t16 @t123)))) % 35.64/35.83 (define @t169 () (tptp.subset @t126 @t123)) % 35.64/35.83 (define @t170 () (= @t169 @t168)) % 35.64/35.83 (define @t171 () (tptp.ilf_type @t126 tptp.set_type)) % 35.64/35.83 (define @t172 () (not @t171)) % 35.64/35.83 (define @t173 () (or @t172 @t162 @t170)) % 35.64/35.83 (define @t174 () (@list false false false)) % 35.64/35.83 (define @t175 () (@var "BOUND_VARIABLE_7698" $$unsorted)) % 35.64/35.83 (define @t176 () (= @t2 @t175)) % 35.64/35.83 (define @t177 () (not (tptp.subset @t175 @t2))) % 35.64/35.83 (define @t178 () (not (tptp.subset @t2 @t175))) % 35.64/35.83 (define @t179 () (not (tptp.ilf_type @t175 tptp.set_type))) % 35.64/35.83 (define @t180 () (or @t179 @t178 @t177 @t176)) % 35.64/35.83 (define @t181 () (or @t100 @t180)) % 35.64/35.83 (define @t182 () (forall (@list @t2 @t175) @t181)) % 35.64/35.83 (define @t183 () (@list @t175)) % 35.64/35.83 (define @t184 () (forall @t183 @t181)) % 35.64/35.83 (define @t185 () (forall @t183 @t180)) % 35.64/35.83 (define @t186 () (or @t100 @t185)) % 35.64/35.83 (define @t187 () (not @t4)) % 35.64/35.83 (define @t188 () (not @t5)) % 35.64/35.83 (define @t189 () (or @t112 @t188 @t187 @t3)) % 35.64/35.83 (define @t190 () (forall @t9 @t189)) % 35.64/35.83 (define @t191 () (or @t188 @t187 @t3)) % 35.64/35.83 (define @t192 () (@list @t123 @t126)) % 35.64/35.83 (define @t193 () (@var "BOUND_VARIABLE_7775" $$unsorted)) % 35.64/35.83 (define @t194 () (@var "BOUND_VARIABLE_7771" $$unsorted)) % 35.64/35.83 (define @t195 () (@var "BOUND_VARIABLE_7773" $$unsorted)) % 35.64/35.83 (define @t196 () (and (tptp.subset @t195 (tptp.domain @t2 @t194 @t193)) (tptp.subset @t195 (tptp.range @t2 @t194 @t193)))) % 35.64/35.83 (define @t197 () (not (tptp.subset (tptp.identity_relation_of @t195) @t193))) % 35.64/35.83 (define @t198 () (not (tptp.ilf_type @t193 (tptp.relation_type @t2 @t194)))) % 35.64/35.83 (define @t199 () (not (tptp.ilf_type @t195 tptp.set_type))) % 35.64/35.83 (define @t200 () (not (tptp.ilf_type @t194 tptp.set_type))) % 35.64/35.83 (define @t201 () (or @t200 @t199 @t198 @t197 @t196)) % 35.64/35.83 (define @t202 () (or @t100 @t201)) % 35.64/35.83 (define @t203 () (forall (@list @t2 @t194 @t195 @t193) @t202)) % 35.64/35.83 (define @t204 () (@list @t194 @t195 @t193)) % 35.64/35.83 (define @t205 () (forall @t204 @t202)) % 35.64/35.83 (define @t206 () (forall @t204 @t201)) % 35.64/35.83 (define @t207 () (@var "BOUND_VARIABLE_7747" $$unsorted)) % 35.64/35.83 (define @t208 () (@var "BOUND_VARIABLE_7745" $$unsorted)) % 35.64/35.83 (define @t209 () (or @t100 @t206)) % 35.64/35.83 (define @t210 () (and (tptp.subset @t208 (tptp.domain @t2 @t1 @t207)) (tptp.subset @t208 (tptp.range @t2 @t1 @t207)))) % 35.64/35.83 (define @t211 () (not (tptp.subset (tptp.identity_relation_of @t208) @t207))) % 35.64/35.83 (define @t212 () (not (tptp.ilf_type @t207 @t21))) % 35.64/35.83 (define @t213 () (not (tptp.ilf_type @t208 tptp.set_type))) % 35.64/35.83 (define @t214 () (or @t112 @t213 @t212 @t211 @t210)) % 35.64/35.83 (define @t215 () (@list @t1 @t208 @t207)) % 35.64/35.83 (define @t216 () (forall @t215 @t214)) % 35.64/35.83 (define @t217 () (or @t213 @t212 @t211 @t210)) % 35.64/35.83 (define @t218 () (or @t112 @t217)) % 35.64/35.83 (define @t219 () (forall @t215 @t218)) % 35.64/35.83 (define @t220 () (@list @t208 @t207)) % 35.64/35.83 (define @t221 () (forall @t220 @t218)) % 35.64/35.83 (define @t222 () (forall @t220 @t217)) % 35.64/35.83 (define @t223 () (@var "BOUND_VARIABLE_7724" $$unsorted)) % 35.64/35.83 (define @t224 () (or @t112 @t222)) % 35.64/35.83 (define @t225 () (and (tptp.subset @t16 (tptp.domain @t2 @t1 @t223)) (tptp.subset @t16 (tptp.range @t2 @t1 @t223)))) % 35.64/35.83 (define @t226 () (not (tptp.subset @t18 @t223))) % 35.64/35.83 (define @t227 () (not (tptp.ilf_type @t223 @t21))) % 35.64/35.83 (define @t228 () (or @t97 @t227 @t226 @t225)) % 35.64/35.83 (define @t229 () (@list @t16 @t223)) % 35.64/35.83 (define @t230 () (forall @t229 @t228)) % 35.64/35.83 (define @t231 () (or @t227 @t226 @t225)) % 35.64/35.83 (define @t232 () (or @t97 @t231)) % 35.64/35.83 (define @t233 () (forall @t229 @t232)) % 35.64/35.83 (define @t234 () (@list @t223)) % 35.64/35.83 (define @t235 () (forall @t234 @t232)) % 35.64/35.83 (define @t236 () (forall @t234 @t231)) % 35.64/35.83 (define @t237 () (or @t97 @t236)) % 35.64/35.83 (define @t238 () (not @t19)) % 35.64/35.83 (define @t239 () (not @t22)) % 35.64/35.83 (define @t240 () (or @t239 @t238 @t17)) % 35.64/35.83 (define @t241 () (forall @t23 @t240)) % 35.64/35.83 (define @t242 () (tptp.subset @t123 @t126)) % 35.64/35.83 (define @t243 () (and @t156 @t242)) % 35.64/35.83 (define @t244 () (or @t164 @t162 @t162 @t161 @t159 @t243)) % 35.64/35.83 (define @t245 () (not @t243)) % 35.64/35.83 (define @t246 () (@list false)) % 35.64/35.83 (define @t247 () (@list @t243)) % 35.64/35.83 (define @t248 () (@list true false)) % 35.64/35.83 (define @t249 () (not @t169)) % 35.64/35.83 (define @t250 () (not @t242)) % 35.64/35.83 (define @t251 () (or @t162 @t172 @t250 @t249 @t155)) % 35.64/35.83 (define @t252 () (not @t168)) % 35.64/35.83 (define @t253 () (@var "BOUND_VARIABLE_8131" $$unsorted)) % 35.64/35.83 (define @t254 () (= (tptp.member @t2 (tptp.power_set @t253)) (forall @t27 (or @t97 @t96 (tptp.member @t16 @t253))))) % 35.64/35.83 (define @t255 () (not (tptp.ilf_type @t253 tptp.set_type))) % 35.64/35.83 (define @t256 () (or @t100 @t255 @t254)) % 35.64/35.83 (define @t257 () (or @t255 @t254)) % 35.64/35.83 (define @t258 () (or @t100 @t257)) % 35.64/35.83 (define @t259 () (@list @t2 @t253)) % 35.64/35.83 (define @t260 () (forall @t259 @t258)) % 35.64/35.83 (define @t261 () (@list @t253)) % 35.64/35.83 (define @t262 () (forall @t261 @t258)) % 35.64/35.83 (define @t263 () (forall @t261 @t257)) % 35.64/35.83 (define @t264 () (or @t100 @t263)) % 35.64/35.83 (define @t265 () (= @t61 @t110)) % 35.64/35.83 (define @t266 () (forall @t9 (or @t112 @t265))) % 35.64/35.83 (define @t267 () (tptp.power_set @t123)) % 35.64/35.83 (define @t268 () (tptp.member @t126 @t267)) % 35.64/35.83 (define @t269 () (or @t172 @t162 (= @t268 @t168))) % 35.64/35.83 (define @t270 () (forall @t259 @t256)) % 35.64/35.83 (define @t271 () (= @t168 @t268)) % 35.64/35.83 (define @t272 () (or @t172 @t162 @t271)) % 35.64/35.83 (define @t273 () (@var "BOUND_VARIABLE_8159" $$unsorted)) % 35.64/35.83 (define @t274 () (= (tptp.ilf_type @t2 (tptp.member_type @t273)) (tptp.member @t2 @t273))) % 35.64/35.83 (define @t275 () (not (tptp.ilf_type @t273 tptp.set_type))) % 35.64/35.83 (define @t276 () (tptp.empty @t273)) % 35.64/35.83 (define @t277 () (or @t276 @t275 @t274)) % 35.64/35.83 (define @t278 () (or @t100 @t277)) % 35.64/35.83 (define @t279 () (forall (@list @t2 @t273) @t278)) % 35.64/35.83 (define @t280 () (@list @t273)) % 35.64/35.83 (define @t281 () (forall @t280 @t278)) % 35.64/35.83 (define @t282 () (forall @t280 @t277)) % 35.64/35.83 (define @t283 () (or @t100 @t282)) % 35.64/35.83 (define @t284 () (or @t69 @t112 @t68)) % 35.64/35.83 (define @t285 () (forall @t9 @t284)) % 35.64/35.83 (define @t286 () (tptp.ilf_type @t267 tptp.set_type)) % 35.64/35.83 (define @t287 () (tptp.empty @t267)) % 35.64/35.83 (define @t288 () (not @t287)) % 35.64/35.83 (define @t289 () (and @t288 @t286)) % 35.64/35.83 (define @t290 () (or @t162 @t289)) % 35.64/35.83 (define @t291 () (@list false false)) % 35.64/35.83 (define @t292 () (not @t289)) % 35.64/35.83 (define @t293 () (@list @t289)) % 35.64/35.83 (define @t294 () (tptp.ilf_type @t126 (tptp.member_type @t267))) % 35.64/35.83 (define @t295 () (= @t294 @t268)) % 35.64/35.83 (define @t296 () (not @t286)) % 35.64/35.83 (define @t297 () (or @t172 @t287 @t296 @t295)) % 35.64/35.83 (define @t298 () (@var "BOUND_VARIABLE_8092" $$unsorted)) % 35.64/35.83 (define @t299 () (= (tptp.ilf_type @t298 @t54) (tptp.ilf_type @t298 @t53))) % 35.64/35.83 (define @t300 () (not (tptp.ilf_type @t298 tptp.set_type))) % 35.64/35.83 (define @t301 () (or @t300 @t299)) % 35.64/35.83 (define @t302 () (or @t100 @t301)) % 35.64/35.83 (define @t303 () (forall (@list @t2 @t298) @t302)) % 35.64/35.83 (define @t304 () (@list @t298)) % 35.64/35.83 (define @t305 () (forall @t304 @t302)) % 35.64/35.83 (define @t306 () (forall @t304 @t301)) % 35.64/35.83 (define @t307 () (or @t100 @t306)) % 35.64/35.83 (define @t308 () (forall @t9 (or @t112 @t56))) % 35.64/35.83 (define @t309 () (tptp.ilf_type @t126 (tptp.subset_type @t123))) % 35.64/35.83 (define @t310 () (= @t309 @t294)) % 35.64/35.83 (define @t311 () (or @t162 @t172 @t310)) % 35.64/35.83 (define @t312 () (@var "BOUND_VARIABLE_8424" $$unsorted)) % 35.64/35.83 (define @t313 () (@var "BOUND_VARIABLE_8426" $$unsorted)) % 35.64/35.83 (define @t314 () (tptp.ilf_type (tptp.range @t2 @t312 @t313) (tptp.subset_type @t312))) % 35.64/35.83 (define @t315 () (not (tptp.ilf_type @t313 (tptp.relation_type @t2 @t312)))) % 35.64/35.83 (define @t316 () (not (tptp.ilf_type @t312 tptp.set_type))) % 35.64/35.83 (define @t317 () (or @t316 @t315 @t314)) % 35.64/35.83 (define @t318 () (or @t100 @t317)) % 35.64/35.83 (define @t319 () (forall (@list @t2 @t312 @t313) @t318)) % 35.64/35.83 (define @t320 () (@list @t312 @t313)) % 35.64/35.83 (define @t321 () (forall @t320 @t318)) % 35.64/35.83 (define @t322 () (forall @t320 @t317)) % 35.64/35.83 (define @t323 () (@var "BOUND_VARIABLE_8408" $$unsorted)) % 35.64/35.83 (define @t324 () (or @t100 @t322)) % 35.64/35.83 (define @t325 () (tptp.ilf_type (tptp.range @t2 @t1 @t323) @t78)) % 35.64/35.83 (define @t326 () (not (tptp.ilf_type @t323 @t21))) % 35.64/35.83 (define @t327 () (or @t112 @t326 @t325)) % 35.64/35.83 (define @t328 () (@list @t1 @t323)) % 35.64/35.83 (define @t329 () (forall @t328 @t327)) % 35.64/35.83 (define @t330 () (or @t326 @t325)) % 35.64/35.83 (define @t331 () (or @t112 @t330)) % 35.64/35.83 (define @t332 () (forall @t328 @t331)) % 35.64/35.83 (define @t333 () (@list @t323)) % 35.64/35.83 (define @t334 () (forall @t333 @t331)) % 35.64/35.83 (define @t335 () (forall @t333 @t330)) % 35.64/35.83 (define @t336 () (or @t112 @t335)) % 35.64/35.83 (define @t337 () (forall @t27 (or @t151 @t79))) % 35.64/35.83 (define @t338 () (or @t164 @t162 @t161 @t309)) % 35.64/35.83 (assume @p1 @t14) % 35.64/35.83 (assume @p2 @t32) % 35.64/35.83 (assume @p3 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (forall @t27 (=> @t25 (= (tptp.member (tptp.ordered_pair @t1 @t16) @t34) (and @t33 (= @t1 @t16)))))))))) % 35.64/35.83 (assume @p4 (forall @t13 (=> @t11 (tptp.ilf_type @t34 tptp.binary_relation_type)))) % 35.64/35.83 (assume @p5 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (and (forall @t27 (=> @t38 @t37)) (forall @t23 (=> @t22 (tptp.ilf_type @t15 @t36))))))))) % 35.64/35.83 (assume @p6 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (exists @t27 (tptp.ilf_type @t16 (tptp.relation_type @t1 @t2)))))))) % 35.64/35.83 (assume @p7 @t47) % 35.64/35.83 (assume @p8 (forall @t13 (=> @t50 (forall @t9 (=> (tptp.ilf_type @t1 tptp.binary_relation_type) (= @t5 (forall @t27 (=> @t25 (forall @t23 (=> @t49 (=> (tptp.member @t48 @t2) (tptp.member @t48 @t1)))))))))))) % 35.64/35.83 (assume @p9 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (= @t3 @t6)))))) % 35.64/35.83 (assume @p10 (forall @t13 (=> @t50 (tptp.ilf_type (tptp.domain_of @t2) tptp.set_type)))) % 35.64/35.83 (assume @p11 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (tptp.ilf_type @t35 tptp.set_type)))))) % 35.64/35.83 (assume @p12 (forall @t13 (=> @t50 (tptp.ilf_type (tptp.range_of @t2) tptp.set_type)))) % 35.64/35.83 (assume @p13 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (tptp.ilf_type (tptp.ordered_pair @t2 @t1) tptp.set_type)))))) % 35.64/35.83 (assume @p14 (forall @t13 (=> @t11 (= @t50 (and @t51 @t11))))) % 35.64/35.83 (assume @p15 (exists @t13 @t50)) % 35.64/35.83 (assume @p16 @t59) % 35.64/35.83 (assume @p17 (forall @t13 (=> @t11 (exists @t9 @t55)))) % 35.64/35.83 (assume @p18 (forall @t13 (=> @t11 @t60))) % 35.64/35.83 (assume @p19 (forall @t13 (=> @t50 @t60))) % 35.64/35.83 (assume @p20 @t65) % 35.64/35.83 (assume @p21 @t67) % 35.64/35.83 (assume @p22 @t74) % 35.64/35.83 (assume @p23 (forall @t13 (=> (and (not @t75) @t11) (exists @t9 (tptp.ilf_type @t1 (tptp.member_type @t2)))))) % 35.64/35.83 (assume @p24 (forall @t13 (=> @t11 (= @t51 (forall @t9 (=> @t8 (=> @t33 (exists @t27 (and @t25 (exists @t23 (and @t49 (= @t1 @t48)))))))))))) % 35.64/35.83 (assume @p25 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (forall @t27 (=> @t38 (tptp.relation_like @t16)))))))) % 35.64/35.83 (assume @p26 (forall @t13 (=> @t11 (= @t75 (forall @t9 (=> @t8 (not @t33))))))) % 35.64/35.83 (assume @p27 (forall @t13 (=> (and @t75 @t11) @t51))) % 35.64/35.83 (assume @p28 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (forall @t27 (=> @t37 (= @t76 (tptp.domain_of @t16))))))))) % 35.64/35.83 (assume @p29 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (forall @t27 (=> @t37 (tptp.ilf_type @t76 @t54)))))))) % 35.64/35.83 (assume @p30 (forall @t13 (=> @t11 (forall @t9 (=> @t8 (forall @t27 (=> @t37 (= @t77 (tptp.range_of @t16))))))))) % 35.64/35.83 (assume @p31 @t84) % 35.64/35.83 (assume @p32 (forall @t13 @t11)) % 35.64/35.83 (assume @p33 @t94) % 35.64/35.83 (assume @p34 true) % 35.64/35.83 (step @p35 :rule aci_norm :args ((= @t102 (or @t100 @t99 @t98)))) % 35.64/35.83 (step @p36 :rule cong :premises (@p35) :args (@t103)) % 35.64/35.83 (step @p37 :rule quant-merge-prenex :args ((= (forall @t13 @t105) @t103))) % 35.64/35.83 (step @p38 :rule alpha_equiv :args (@t106 (@list @t95) @t107)) % 35.64/35.83 (step @p39 :rule refl :args (@t100)) % 35.64/35.83 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t108)) % 35.64/35.83 (step @p41 :rule quant-miniscope-or :args ((= @t105 @t108))) % 35.64/35.83 (step @p42 :rule trans :premises (@p41 @p40)) % 35.64/35.83 (step @p43 :rule symm :premises (@p42)) % 35.64/35.83 (step @p44 :rule cong :premises (@p43) :args ((forall @t13 (or @t100 @t113)))) % 35.64/35.83 (step @p45 :rule trans :premises (@p44 @p37)) % 35.64/35.83 (step @p46 :rule trans :premises (@p45 @p36)) % 35.64/35.83 (step @p47 :rule bool-impl-elim :args (@t11 @t113)) % 35.64/35.83 (step @p48 :rule cong :premises (@p47) :args ((forall @t13 (=> @t11 @t113)))) % 35.64/35.83 (step @p49 :rule trans :premises (@p48 @p46)) % 35.64/35.83 (step @p50 :rule bool-impl-elim :args (@t8 @t111)) % 35.64/35.83 (step @p51 :rule cong :premises (@p50) :args ((forall @t9 (=> @t8 @t111)))) % 35.64/35.83 (step @p52 :rule aci_norm :args ((= (or @t97 (or @t96 @t39)) @t109))) % 35.64/35.83 (step @p53 :rule bool-impl-elim :args (@t40 @t39)) % 35.64/35.83 (step @p54 :rule refl :args (@t97)) % 35.64/35.83 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t97 @t41))) % 35.64/35.83 (step @p56 :rule trans :premises (@p55 @p52)) % 35.64/35.83 (step @p57 :rule bool-impl-elim :args (@t25 @t41)) % 35.64/35.83 (step @p58 :rule trans :premises (@p57 @p56)) % 35.64/35.83 (step @p59 :rule cong :premises (@p58) :args (@t42)) % 35.64/35.83 (step @p60 :rule refl :args (@t5)) % 35.64/35.83 (step @p61 :rule cong :premises (@p60 @p59) :args (@t43)) % 35.64/35.83 (step @p62 :rule refl :args (@t8)) % 35.64/35.83 (step @p63 :rule cong :premises (@p62 @p61) :args (@t44)) % 35.64/35.83 (step @p64 :rule cong :premises (@p63) :args (@t45)) % 35.64/35.83 (step @p65 :rule trans :premises (@p64 @p51)) % 35.64/35.83 (step @p66 :rule refl :args (@t11)) % 35.64/35.83 (step @p67 :rule cong :premises (@p66 @p65) :args (@t46)) % 35.64/35.83 (step @p68 :rule cong :premises (@p67) :args (@t47)) % 35.64/35.83 (step @p69 :rule trans :premises (@p68 @p49)) % 35.64/35.83 (step @p70 :rule eq_resolve :premises (@p7 @p69)) % 35.64/35.83 (step @p71 :rule instantiate :premises (@p70) :args (@t127)) % 35.64/35.83 (step @p72 :rule instantiate :premises (@p32) :args ((@list @t126))) % 35.64/35.83 (step @p73 :rule aci_norm :args ((= @t129 @t120))) % 35.64/35.83 (step @p74 :rule cong :premises (@p73) :args (@t130)) % 35.64/35.83 (step @p75 :rule quant-merge-prenex :args ((= (forall @t13 @t132) @t130))) % 35.64/35.83 (step @p76 :rule alpha_equiv :args (@t133 (@list @t115 @t114) (@list @t1 @t134))) % 35.64/35.83 (step @p77 :rule nary_cong :premises (@p39 @p76) :args (@t135)) % 35.64/35.83 (step @p78 :rule quant-miniscope-or :args ((= @t132 @t135))) % 35.64/35.83 (step @p79 :rule trans :premises (@p78 @p77)) % 35.64/35.83 (step @p80 :rule symm :premises (@p79)) % 35.64/35.83 (step @p81 :rule cong :premises (@p80) :args ((forall @t13 (or @t100 @t141)))) % 35.64/35.83 (step @p82 :rule trans :premises (@p81 @p75)) % 35.64/35.83 (step @p83 :rule trans :premises (@p82 @p74)) % 35.64/35.83 (step @p84 :rule bool-impl-elim :args (@t11 @t141)) % 35.64/35.83 (step @p85 :rule cong :premises (@p84) :args ((forall @t13 (=> @t11 @t141)))) % 35.64/35.83 (step @p86 :rule trans :premises (@p85 @p83)) % 35.64/35.83 (step @p87 :rule aci_norm :args ((= @t143 @t139))) % 35.64/35.83 (step @p88 :rule cong :premises (@p87) :args (@t144)) % 35.64/35.83 (step @p89 :rule quant-merge-prenex :args ((= (forall @t9 @t146) @t144))) % 35.64/35.83 (step @p90 :rule alpha_equiv :args (@t147 (@list @t134) @t148)) % 35.64/35.83 (step @p91 :rule refl :args (@t112)) % 35.64/35.83 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t149)) % 35.64/35.83 (step @p93 :rule quant-miniscope-or :args ((= @t146 @t149))) % 35.64/35.83 (step @p94 :rule trans :premises (@p93 @p92)) % 35.64/35.83 (step @p95 :rule symm :premises (@p94)) % 35.64/35.83 (step @p96 :rule cong :premises (@p95) :args ((forall @t9 (or @t112 @t153)))) % 35.64/35.83 (step @p97 :rule trans :premises (@p96 @p89)) % 35.64/35.83 (step @p98 :rule trans :premises (@p97 @p88)) % 35.64/35.83 (step @p99 :rule bool-impl-elim :args (@t8 @t153)) % 35.64/35.83 (step @p100 :rule cong :premises (@p99) :args ((forall @t9 (=> @t8 @t153)))) % 35.64/35.83 (step @p101 :rule trans :premises (@p100 @p98)) % 35.64/35.83 (step @p102 :rule aci_norm :args ((= (or @t151 (or @t150 @t85)) @t152))) % 35.64/35.83 (step @p103 :rule bool-impl-elim :args (@t87 @t85)) % 35.64/35.83 (step @p104 :rule refl :args (@t151)) % 35.64/35.83 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t151 @t88))) % 35.64/35.83 (step @p106 :rule trans :premises (@p105 @p102)) % 35.64/35.83 (step @p107 :rule bool-impl-elim :args (@t37 @t88)) % 35.64/35.83 (step @p108 :rule trans :premises (@p107 @p106)) % 35.64/35.83 (step @p109 :rule cong :premises (@p108) :args (@t89)) % 35.64/35.83 (step @p110 :rule cong :premises (@p62 @p109) :args (@t90)) % 35.64/35.83 (step @p111 :rule cong :premises (@p110) :args (@t91)) % 35.64/35.83 (step @p112 :rule trans :premises (@p111 @p101)) % 35.64/35.83 (step @p113 :rule cong :premises (@p66 @p112) :args (@t92)) % 35.64/35.83 (step @p114 :rule cong :premises (@p113) :args (@t93)) % 35.64/35.83 (step @p115 :rule trans :premises (@p114 @p86)) % 35.64/35.83 (step @p116 :rule cong :premises (@p115) :args (@t94)) % 35.64/35.83 (step @p117 :rule eq_resolve :premises (@p33 @p116)) % 35.64/35.83 (step @p118 :rule skolemize :premises (@p117)) % 35.64/35.83 (step @p119 :rule bool-double-not-elim :args (@t154)) % 35.64/35.83 (step @p120 :rule refl :args (@t165)) % 35.64/35.83 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t165 (not @t162)))) % 35.64/35.83 (step @p122 :rule cnf_or_neg :args (@t165 1)) % 35.64/35.83 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 35.64/35.83 (step @p124 :rule reordering :premises (@p123) :args ((or @t154 @t165))) % 35.64/35.83 (step @p125 :rule chain_m_resolution :premises (@p124 @p118) :args (@t154 @t166 @t167)) % 35.64/35.83 (step @p126 :rule cnf_or_pos :args (@t173)) % 35.64/35.83 (step @p127 :rule reordering :premises (@p126) :args ((or @t162 @t172 @t170 (not @t173)))) % 35.64/35.83 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p72 @p71) :args (@t170 @t174 (@list @t154 @t171 @t173))) % 35.64/35.83 (step @p129 :rule aci_norm :args ((= @t181 (or @t100 @t179 @t178 @t177 @t176)))) 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@p327 :rule trans :premises (@p326 @p320)) % 35.64/35.83 (step @p328 :rule bool-impl-elim :args (@t71 @t68)) % 35.64/35.83 (step @p329 :rule trans :premises (@p328 @p327)) % 35.64/35.83 (step @p330 :rule cong :premises (@p329) :args (@t72)) % 35.64/35.83 (step @p331 :rule cong :premises (@p66 @p330) :args (@t73)) % 35.64/35.83 (step @p332 :rule cong :premises (@p331) :args (@t74)) % 35.64/35.83 (step @p333 :rule trans :premises (@p332 @p319)) % 35.64/35.83 (step @p334 :rule eq_resolve :premises (@p22 @p333)) % 35.64/35.83 (step @p335 :rule instantiate :premises (@p334) :args ((@list @t126 @t267))) % 35.64/35.83 (step @p336 :rule bool-impl-elim :args (@t11 @t66)) % 35.64/35.83 (step @p337 :rule cong :premises (@p336) :args (@t67)) % 35.64/35.83 (step @p338 :rule eq_resolve :premises (@p21 @p337)) % 35.64/35.83 (step @p339 :rule instantiate :premises (@p338) :args ((@list @t123))) % 35.64/35.83 (step @p340 :rule cnf_or_pos :args (@t290)) % 35.64/35.83 (step @p341 :rule reordering :premises (@p340) :args ((or @t162 @t289 (not @t290)))) % 35.64/35.83 (step @p342 :rule chain_m_resolution :premises (@p341 @p125 @p339) :args (@t289 @t291 (@list @t154 @t290))) % 35.64/35.83 (step @p343 :rule cnf_and_pos :args (@t289 1)) % 35.64/35.83 (step @p344 :rule reordering :premises (@p343) :args ((or @t286 @t292))) % 35.64/35.83 (step @p345 :rule chain_m_resolution :premises (@p344 @p342) :args (@t286 @t246 @t293)) % 35.64/35.83 (step @p346 :rule cnf_and_pos :args (@t289 0)) % 35.64/35.83 (step @p347 :rule reordering :premises (@p346) :args ((or @t288 @t292))) % 35.64/35.83 (step @p348 :rule chain_m_resolution :premises (@p347 @p342) :args (@t288 @t246 @t293)) % 35.64/35.83 (step @p349 :rule cnf_or_pos :args (@t297)) % 35.64/35.83 (step @p350 :rule reordering :premises (@p349) :args ((or @t172 @t287 @t296 @t295 (not @t297)))) % 35.64/35.83 (step @p351 :rule chain_m_resolution :premises (@p350 @p72 @p348 @p345 @p335) :args (@t295 (@list false true false false) (@list @t171 @t287 @t286 @t297))) % 35.64/35.83 (step @p352 :rule aci_norm :args ((= @t302 (or @t100 @t300 @t299)))) % 35.64/35.83 (step @p353 :rule cong :premises (@p352) :args (@t303)) % 35.64/35.83 (step @p354 :rule quant-merge-prenex :args ((= (forall @t13 @t305) @t303))) % 35.64/35.83 (step @p355 :rule alpha_equiv :args (@t306 (@list @t298) @t107)) % 35.64/35.83 (step @p356 :rule nary_cong :premises (@p39 @p355) :args (@t307)) % 35.64/35.83 (step @p357 :rule quant-miniscope-or :args ((= @t305 @t307))) % 35.64/35.83 (step @p358 :rule trans :premises (@p357 @p356)) % 35.64/35.83 (step @p359 :rule symm :premises (@p358)) % 35.64/35.83 (step @p360 :rule cong :premises (@p359) :args ((forall @t13 (or @t100 @t308)))) % 35.64/35.83 (step @p361 :rule trans :premises (@p360 @p354)) % 35.64/35.83 (step @p362 :rule trans :premises (@p361 @p353)) % 35.64/35.83 (step @p363 :rule bool-impl-elim :args (@t11 @t308)) % 35.64/35.83 (step @p364 :rule cong :premises (@p363) :args ((forall @t13 (=> @t11 @t308)))) % 35.64/35.83 (step @p365 :rule trans :premises (@p364 @p362)) % 35.64/35.83 (step @p366 :rule bool-impl-elim :args (@t8 @t56)) % 35.64/35.83 (step @p367 :rule cong :premises (@p366) :args (@t57)) % 35.64/35.83 (step @p368 :rule cong :premises (@p66 @p367) :args (@t58)) % 35.64/35.83 (step @p369 :rule cong :premises (@p368) :args (@t59)) % 35.64/35.83 (step @p370 :rule trans :premises (@p369 @p365)) % 35.64/35.83 (step @p371 :rule eq_resolve :premises (@p16 @p370)) % 35.64/35.83 (step @p372 :rule instantiate :premises (@p371) :args (@t192)) % 35.64/35.83 (step @p373 :rule cnf_or_pos :args (@t311)) % 35.64/35.83 (step @p374 :rule reordering :premises (@p373) :args ((or @t162 @t172 @t310 (not @t311)))) % 35.64/35.83 (step @p375 :rule chain_m_resolution :premises (@p374 @p125 @p72 @p372) :args (@t310 @t174 (@list @t154 @t171 @t311))) % 35.64/35.83 (step @p376 :rule aci_norm :args ((= @t318 (or @t100 @t316 @t315 @t314)))) % 35.64/35.83 (step @p377 :rule cong :premises (@p376) :args (@t319)) % 35.64/35.83 (step @p378 :rule quant-merge-prenex :args ((= (forall @t13 @t321) @t319))) % 35.64/35.83 (step @p379 :rule alpha_equiv :args (@t322 (@list @t312 @t313) (@list @t1 @t323))) % 35.64/35.83 (step @p380 :rule nary_cong :premises (@p39 @p379) :args (@t324)) % 35.64/35.83 (step @p381 :rule quant-miniscope-or :args ((= @t321 @t324))) % 35.64/35.83 (step @p382 :rule trans :premises (@p381 @p380)) % 35.64/35.83 (step @p383 :rule symm :premises (@p382)) % 35.64/35.83 (step @p384 :rule cong :premises (@p383) :args ((forall @t13 (or @t100 @t329)))) % 35.64/35.83 (step @p385 :rule trans :premises (@p384 @p378)) % 35.64/35.83 (step @p386 :rule trans :premises (@p385 @p377)) % 35.64/35.83 (step @p387 :rule bool-impl-elim :args (@t11 @t329)) % 35.64/35.83 (step @p388 :rule cong :premises (@p387) :args ((forall @t13 (=> @t11 @t329)))) % 35.64/35.83 (step @p389 :rule trans :premises (@p388 @p386)) % 35.64/35.83 (step @p390 :rule aci_norm :args ((= @t331 @t327))) % 35.64/35.83 (step @p391 :rule cong :premises (@p390) :args (@t332)) % 35.64/35.83 (step @p392 :rule quant-merge-prenex :args ((= (forall @t9 @t334) @t332))) % 35.64/35.83 (step @p393 :rule alpha_equiv :args (@t335 (@list @t323) @t148)) % 35.64/35.83 (step @p394 :rule nary_cong :premises (@p91 @p393) :args (@t336)) % 35.64/35.84 (step @p395 :rule quant-miniscope-or :args ((= @t334 @t336))) % 35.64/35.84 (step @p396 :rule trans :premises (@p395 @p394)) % 35.64/35.84 (step @p397 :rule symm :premises (@p396)) % 35.64/35.84 (step @p398 :rule cong :premises (@p397) :args ((forall @t9 (or @t112 @t337)))) % 35.64/35.84 (step @p399 :rule trans :premises (@p398 @p392)) % 35.64/35.84 (step @p400 :rule trans :premises (@p399 @p391)) % 35.64/35.84 (step @p401 :rule bool-impl-elim :args (@t8 @t337)) % 35.64/35.84 (step @p402 :rule cong :premises (@p401) :args ((forall @t9 (=> @t8 @t337)))) % 35.64/35.84 (step @p403 :rule trans :premises (@p402 @p400)) % 35.64/35.84 (step @p404 :rule bool-impl-elim :args (@t37 @t79)) % 35.64/35.84 (step @p405 :rule cong :premises (@p404) :args (@t80)) % 35.64/35.84 (step @p406 :rule cong :premises (@p62 @p405) :args (@t81)) % 35.64/35.84 (step @p407 :rule cong :premises (@p406) :args (@t82)) % 35.64/35.84 (step @p408 :rule trans :premises (@p407 @p403)) % 35.64/35.84 (step @p409 :rule cong :premises (@p66 @p408) :args (@t83)) % 35.64/35.84 (step @p410 :rule cong :premises (@p409) :args (@t84)) % 35.64/35.84 (step @p411 :rule trans :premises (@p410 @p389)) % 35.64/35.84 (step @p412 :rule eq_resolve :premises (@p31 @p411)) % 35.64/35.84 (step @p413 :rule instantiate :premises (@p412) :args ((@list @t125 @t123 @t124))) % 35.64/35.84 (step @p414 :rule cnf_or_pos :args (@t338)) % 35.64/35.84 (step @p415 :rule reordering :premises (@p414) :args ((or @t164 @t162 @t161 @t309 (not @t338)))) % 35.64/35.84 (step @p416 :rule chain_m_resolution :premises (@p415 @p240 @p125 @p234 @p413) :args (@t309 (@list false false false false) (@list @t163 @t154 @t160 @t338))) % 35.64/35.84 (step @p417 :rule cnf_equiv_pos1 :args (@t310)) % 35.64/35.84 (step @p418 :rule reordering :premises (@p417) :args ((or (not @t309) @t294 (not @t310)))) % 35.64/35.84 (step @p419 :rule chain_m_resolution :premises (@p418 @p416 @p375) :args (@t294 @t291 (@list @t309 @t310))) % 35.64/35.84 (step @p420 :rule cnf_equiv_pos1 :args (@t295)) % 35.64/35.84 (step @p421 :rule reordering :premises (@p420) :args ((or (not @t294) @t268 (not @t295)))) % 35.64/35.84 (step @p422 :rule chain_m_resolution :premises (@p421 @p419 @p351) :args (@t268 @t291 (@list @t294 @t295))) % 35.64/35.84 (step @p423 :rule cnf_equiv_pos2 :args (@t271)) % 35.64/35.84 (step @p424 :rule reordering :premises (@p423) :args ((or @t168 (not @t268) (not @t271)))) % 35.64/35.84 (step @p425 false :rule chain_m_resolution :premises (@p424 @p422 @p305 @p260) :args (false (@list false false true) (@list @t268 @t271 @t168))) % 35.64/35.84 ) % 35.64/35.84 % SZS output end Proof % 35.64/35.84 % cvc5 exiting %------------------------------------------------------------------------------