%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET680+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 : n024.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 08:48:25 AM UTC 2026 % Result : Theorem 103.17s 103.46s % Output : Proof 103.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET680+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:07:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.17/0.33 %----Proving TF0_NAR, FOF, or CNF % 103.17/103.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 103.17/103.46 --- Run --no-e-matching --full-saturate-quant at 6... % 103.17/103.46 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 103.17/103.46 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 103.17/103.46 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 103.17/103.46 --- Run --trigger-sel=max --full-saturate-quant at 15... % 103.17/103.46 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 103.17/103.46 % SZS status Theorem % 103.17/103.46 % SZS output start Proof % 103.17/103.46 ( % 103.17/103.46 (declare-sort $$unsorted 0) % 103.17/103.46 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 103.17/103.46 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 103.17/103.46 (declare-const tptp.relation_like (-> $$unsorted Bool)) % 103.17/103.46 (declare-const tptp.empty (-> $$unsorted Bool)) % 103.17/103.46 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 103.17/103.46 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 103.17/103.46 (declare-const tptp.set_type $$unsorted) % 103.17/103.46 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 103.17/103.46 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 103.17/103.46 (declare-const tptp.relation_type (-> $$unsorted $$unsorted $$unsorted)) % 103.17/103.46 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 103.17/103.46 (declare-const tptp.binary_relation_type $$unsorted) % 103.17/103.46 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 103.17/103.46 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 103.17/103.46 (declare-const tptp.member_type (-> $$unsorted $$unsorted)) % 103.17/103.46 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 103.17/103.46 (declare-const tptp.ilf_type (-> $$unsorted $$unsorted Bool)) % 103.17/103.46 (declare-const tptp.subset_type (-> $$unsorted $$unsorted)) % 103.17/103.46 (define @t1 () (@var "C" $$unsorted)) % 103.17/103.46 (define @t2 () (@var "D" $$unsorted)) % 103.17/103.46 (define @t3 () (@var "B" $$unsorted)) % 103.17/103.46 (define @t4 () (tptp.ordered_pair @t3 @t2)) % 103.17/103.46 (define @t5 () (tptp.member @t4 @t1)) % 103.17/103.46 (define @t6 () (tptp.ilf_type @t2 tptp.set_type)) % 103.17/103.46 (define @t7 () (and @t6 @t5)) % 103.17/103.46 (define @t8 () (@list @t2)) % 103.17/103.46 (define @t9 () (exists @t8 @t7)) % 103.17/103.46 (define @t10 () (tptp.member @t3 (tptp.domain_of @t1))) % 103.17/103.46 (define @t11 () (= @t10 @t9)) % 103.17/103.46 (define @t12 () (tptp.ilf_type @t1 tptp.binary_relation_type)) % 103.17/103.46 (define @t13 () (=> @t12 @t11)) % 103.17/103.46 (define @t14 () (@list @t1)) % 103.17/103.46 (define @t15 () (forall @t14 @t13)) % 103.17/103.46 (define @t16 () (tptp.ilf_type @t3 tptp.set_type)) % 103.17/103.46 (define @t17 () (=> @t16 @t15)) % 103.17/103.46 (define @t18 () (@list @t3)) % 103.17/103.46 (define @t19 () (forall @t18 @t17)) % 103.17/103.46 (define @t20 () (tptp.range_of @t2)) % 103.17/103.46 (define @t21 () (tptp.domain_of @t2)) % 103.17/103.46 (define @t22 () (and (tptp.member @t3 @t21) (tptp.member @t1 @t20))) % 103.17/103.46 (define @t23 () (tptp.ordered_pair @t3 @t1)) % 103.17/103.46 (define @t24 () (tptp.member @t23 @t2)) % 103.17/103.46 (define @t25 () (=> @t24 @t22)) % 103.17/103.46 (define @t26 () (tptp.ilf_type @t2 tptp.binary_relation_type)) % 103.17/103.46 (define @t27 () (forall @t8 (=> @t26 @t25))) % 103.17/103.46 (define @t28 () (tptp.ilf_type @t1 tptp.set_type)) % 103.17/103.46 (define @t29 () (=> @t28 @t27)) % 103.17/103.46 (define @t30 () (forall @t14 @t29)) % 103.17/103.46 (define @t31 () (=> @t16 @t30)) % 103.17/103.46 (define @t32 () (forall @t18 @t31)) % 103.17/103.46 (define @t33 () (@var "E" $$unsorted)) % 103.17/103.46 (define @t34 () (tptp.member @t2 @t3)) % 103.17/103.46 (define @t35 () (and @t34 (tptp.member @t33 @t1))) % 103.17/103.46 (define @t36 () (@var "F" $$unsorted)) % 103.17/103.46 (define @t37 () (tptp.ordered_pair @t2 @t33)) % 103.17/103.46 (define @t38 () (tptp.member @t37 @t36)) % 103.17/103.46 (define @t39 () (=> @t38 @t35)) % 103.17/103.46 (define @t40 () (tptp.relation_type @t3 @t1)) % 103.17/103.46 (define @t41 () (tptp.ilf_type @t36 @t40)) % 103.17/103.46 (define @t42 () (@list @t36)) % 103.17/103.46 (define @t43 () (forall @t42 (=> @t41 @t39))) % 103.17/103.46 (define @t44 () (tptp.ilf_type @t33 tptp.set_type)) % 103.17/103.46 (define @t45 () (=> @t44 @t43)) % 103.17/103.46 (define @t46 () (@list @t33)) % 103.17/103.46 (define @t47 () (forall @t46 @t45)) % 103.17/103.46 (define @t48 () (=> @t6 @t47)) % 103.17/103.46 (define @t49 () (forall @t8 @t48)) % 103.17/103.46 (define @t50 () (=> @t28 @t49)) % 103.17/103.46 (define @t51 () (forall @t14 @t50)) % 103.17/103.46 (define @t52 () (=> @t16 @t51)) % 103.17/103.46 (define @t53 () (forall @t18 @t52)) % 103.17/103.46 (define @t54 () (tptp.cross_product @t3 @t1)) % 103.17/103.46 (define @t55 () (tptp.subset_type @t54)) % 103.17/103.46 (define @t56 () (tptp.ilf_type @t33 @t55)) % 103.17/103.46 (define @t57 () (tptp.ilf_type @t33 @t40)) % 103.17/103.46 (define @t58 () (forall @t46 (=> @t57 @t56))) % 103.17/103.46 (define @t59 () (tptp.ilf_type @t2 @t40)) % 103.17/103.46 (define @t60 () (tptp.ilf_type @t2 @t55)) % 103.17/103.46 (define @t61 () (forall @t8 (=> @t60 @t59))) % 103.17/103.46 (define @t62 () (and @t61 @t58)) % 103.17/103.46 (define @t63 () (=> @t28 @t62)) % 103.17/103.46 (define @t64 () (forall @t14 @t63)) % 103.17/103.46 (define @t65 () (=> @t16 @t64)) % 103.17/103.46 (define @t66 () (forall @t18 @t65)) % 103.17/103.46 (define @t67 () (tptp.member_type @t1)) % 103.17/103.46 (define @t68 () (= (tptp.ilf_type @t3 @t67) (tptp.member @t3 @t1))) % 103.17/103.46 (define @t69 () (tptp.empty @t1)) % 103.17/103.46 (define @t70 () (not @t69)) % 103.17/103.46 (define @t71 () (and @t70 @t28)) % 103.17/103.46 (define @t72 () (forall @t14 (=> @t71 @t68))) % 103.17/103.46 (define @t73 () (=> @t16 @t72)) % 103.17/103.46 (define @t74 () (forall @t18 @t73)) % 103.17/103.46 (define @t75 () (tptp.member_type @t3)) % 103.17/103.46 (define @t76 () (tptp.empty @t3)) % 103.17/103.46 (define @t77 () (not @t76)) % 103.17/103.46 (define @t78 () (and @t77 @t16)) % 103.17/103.46 (define @t79 () (tptp.member @t1 @t3)) % 103.17/103.46 (define @t80 () (tptp.ilf_type @t3 tptp.binary_relation_type)) % 103.17/103.46 (define @t81 () (tptp.unordered_pair @t3 @t1)) % 103.17/103.46 (define @t82 () (tptp.relation_like @t3)) % 103.17/103.46 (define @t83 () (= @t80 (and @t82 @t16))) % 103.17/103.46 (define @t84 () (forall @t18 (=> @t16 @t83))) % 103.17/103.46 (define @t85 () (tptp.power_set @t3)) % 103.17/103.46 (define @t86 () (tptp.subset_type @t3)) % 103.17/103.46 (define @t87 () (tptp.ilf_type @t1 @t86)) % 103.17/103.46 (define @t88 () (tptp.member @t2 @t1)) % 103.17/103.46 (define @t89 () (tptp.relation_like @t2)) % 103.17/103.46 (define @t90 () (forall @t8 (=> @t60 @t89))) % 103.17/103.46 (define @t91 () (=> @t28 @t90)) % 103.17/103.46 (define @t92 () (forall @t14 @t91)) % 103.17/103.46 (define @t93 () (=> @t16 @t92)) % 103.17/103.46 (define @t94 () (forall @t18 @t93)) % 103.17/103.46 (define @t95 () (tptp.domain @t3 @t1 @t2)) % 103.17/103.46 (define @t96 () (=> @t59 (= @t95 @t21))) % 103.17/103.46 (define @t97 () (forall @t8 @t96)) % 103.17/103.46 (define @t98 () (=> @t28 @t97)) % 103.17/103.46 (define @t99 () (forall @t14 @t98)) % 103.17/103.46 (define @t100 () (=> @t16 @t99)) % 103.17/103.46 (define @t101 () (forall @t18 @t100)) % 103.17/103.46 (define @t102 () (tptp.range @t3 @t1 @t2)) % 103.17/103.46 (define @t103 () (forall @t18 @t16)) % 103.17/103.46 (define @t104 () (tptp.member (tptp.ordered_pair @t33 @t36) @t2)) % 103.17/103.46 (define @t105 () (tptp.ilf_type @t36 @t67)) % 103.17/103.46 (define @t106 () (and @t105 @t104)) % 103.17/103.46 (define @t107 () (exists @t42 @t106)) % 103.17/103.46 (define @t108 () (tptp.member @t33 @t95)) % 103.17/103.46 (define @t109 () (= @t108 @t107)) % 103.17/103.46 (define @t110 () (tptp.ilf_type @t33 @t75)) % 103.17/103.46 (define @t111 () (=> @t110 @t109)) % 103.17/103.46 (define @t112 () (forall @t46 @t111)) % 103.17/103.46 (define @t113 () (=> @t59 @t112)) % 103.17/103.46 (define @t114 () (forall @t8 @t113)) % 103.17/103.46 (define @t115 () (=> @t71 @t114)) % 103.17/103.46 (define @t116 () (forall @t14 @t115)) % 103.17/103.46 (define @t117 () (=> @t78 @t116)) % 103.17/103.46 (define @t118 () (forall @t18 @t117)) % 103.17/103.46 (define @t119 () (not @t118)) % 103.17/103.46 (define @t120 () (@var "BOUND_VARIABLE_7775" $$unsorted)) % 103.17/103.46 (define @t121 () (@var "BOUND_VARIABLE_7773" $$unsorted)) % 103.17/103.46 (define @t122 () (and (tptp.member @t3 (tptp.domain_of @t120)) (tptp.member @t121 (tptp.range_of @t120)))) % 103.17/103.46 (define @t123 () (not (tptp.member (tptp.ordered_pair @t3 @t121) @t120))) % 103.17/103.46 (define @t124 () (not (tptp.ilf_type @t120 tptp.binary_relation_type))) % 103.17/103.46 (define @t125 () (not (tptp.ilf_type @t121 tptp.set_type))) % 103.17/103.46 (define @t126 () (not @t16)) % 103.17/103.46 (define @t127 () (or @t125 @t124 @t123 @t122)) % 103.17/103.46 (define @t128 () (or @t126 @t127)) % 103.17/103.46 (define @t129 () (forall (@list @t3 @t121 @t120) @t128)) % 103.17/103.46 (define @t130 () (@list @t121 @t120)) % 103.17/103.46 (define @t131 () (forall @t130 @t128)) % 103.17/103.46 (define @t132 () (forall @t130 @t127)) % 103.17/103.46 (define @t133 () (@var "BOUND_VARIABLE_7752" $$unsorted)) % 103.17/103.46 (define @t134 () (or @t126 @t132)) % 103.17/103.46 (define @t135 () (and (tptp.member @t3 (tptp.domain_of @t133)) (tptp.member @t1 (tptp.range_of @t133)))) % 103.17/103.46 (define @t136 () (not (tptp.member @t23 @t133))) % 103.17/103.46 (define @t137 () (not (tptp.ilf_type @t133 tptp.binary_relation_type))) % 103.17/103.46 (define @t138 () (not @t28)) % 103.17/103.46 (define @t139 () (or @t138 @t137 @t136 @t135)) % 103.17/103.46 (define @t140 () (@list @t1 @t133)) % 103.17/103.46 (define @t141 () (forall @t140 @t139)) % 103.17/103.46 (define @t142 () (or @t137 @t136 @t135)) % 103.17/103.46 (define @t143 () (or @t138 @t142)) % 103.17/103.46 (define @t144 () (forall @t140 @t143)) % 103.17/103.46 (define @t145 () (@list @t133)) % 103.17/103.46 (define @t146 () (forall @t145 @t143)) % 103.17/103.46 (define @t147 () (forall @t145 @t142)) % 103.17/103.46 (define @t148 () (@list @t2)) % 103.17/103.46 (define @t149 () (or @t138 @t147)) % 103.17/103.46 (define @t150 () (not @t24)) % 103.17/103.46 (define @t151 () (not @t26)) % 103.17/103.46 (define @t152 () (or @t151 @t150 @t22)) % 103.17/103.46 (define @t153 () (forall @t8 @t152)) % 103.17/103.46 (define @t154 () (@var "BOUND_VARIABLE_8605" $$unsorted)) % 103.17/103.46 (define @t155 () (@var "BOUND_VARIABLE_8607" $$unsorted)) % 103.17/103.46 (define @t156 () (@var "BOUND_VARIABLE_8603" $$unsorted)) % 103.17/103.46 (define @t157 () (= (tptp.member @t155 (tptp.domain @t3 @t156 @t154)) (not (forall @t42 (or (not (tptp.ilf_type @t36 (tptp.member_type @t156))) (not (tptp.member (tptp.ordered_pair @t155 @t36) @t154))))))) % 103.17/103.46 (define @t158 () (not (tptp.ilf_type @t155 @t75))) % 103.17/103.46 (define @t159 () (not (tptp.ilf_type @t154 (tptp.relation_type @t3 @t156)))) % 103.17/103.46 (define @t160 () (not (tptp.ilf_type @t156 tptp.set_type))) % 103.17/103.46 (define @t161 () (tptp.empty @t156)) % 103.17/103.46 (define @t162 () (or @t76 @t126 @t161 @t160 @t159 @t158 @t157)) % 103.17/103.46 (define @t163 () (@list @t3 @t156 @t154 @t155)) % 103.17/103.46 (define @t164 () (forall @t163 @t162)) % 103.17/103.46 (define @t165 () (@quantifiers_skolemize @t164 2)) % 103.17/103.46 (define @t166 () (@quantifiers_skolemize @t164 3)) % 103.17/103.46 (define @t167 () (@quantifiers_skolemize @t164 1)) % 103.17/103.46 (define @t168 () (tptp.member_type @t167)) % 103.17/103.46 (define @t169 () (forall @t42 (or (not (tptp.ilf_type @t36 @t168)) (not (tptp.member (tptp.ordered_pair @t166 @t36) @t165))))) % 103.17/103.46 (define @t170 () (@quantifiers_skolemize @t169 0)) % 103.17/103.46 (define @t171 () (@var "BOUND_VARIABLE_8393" $$unsorted)) % 103.17/103.46 (define @t172 () (@var "BOUND_VARIABLE_8391" $$unsorted)) % 103.17/103.46 (define @t173 () (= (tptp.domain_of @t171) (tptp.domain @t3 @t172 @t171))) % 103.17/103.46 (define @t174 () (not (tptp.ilf_type @t171 (tptp.relation_type @t3 @t172)))) % 103.17/103.46 (define @t175 () (not (tptp.ilf_type @t172 tptp.set_type))) % 103.17/103.46 (define @t176 () (or @t126 @t175 @t174 @t173)) % 103.17/103.46 (define @t177 () (or @t175 @t174 @t173)) % 103.17/103.46 (define @t178 () (or @t126 @t177)) % 103.17/103.46 (define @t179 () (@list @t3 @t172 @t171)) % 103.17/103.46 (define @t180 () (forall @t179 @t178)) % 103.17/103.46 (define @t181 () (@list @t172 @t171)) % 103.17/103.46 (define @t182 () (forall @t181 @t178)) % 103.17/103.46 (define @t183 () (forall @t181 @t177)) % 103.17/103.46 (define @t184 () (@var "BOUND_VARIABLE_8374" $$unsorted)) % 103.17/103.46 (define @t185 () (or @t126 @t183)) % 103.17/103.46 (define @t186 () (= (tptp.domain_of @t184) (tptp.domain @t3 @t1 @t184))) % 103.17/103.46 (define @t187 () (not (tptp.ilf_type @t184 @t40))) % 103.17/103.46 (define @t188 () (or @t138 @t187 @t186)) % 103.17/103.46 (define @t189 () (@list @t1 @t184)) % 103.17/103.46 (define @t190 () (forall @t189 @t188)) % 103.17/103.46 (define @t191 () (or @t187 @t186)) % 103.17/103.46 (define @t192 () (or @t138 @t191)) % 103.17/103.46 (define @t193 () (forall @t189 @t192)) % 103.17/103.46 (define @t194 () (@list @t184)) % 103.17/103.46 (define @t195 () (forall @t194 @t192)) % 103.17/103.46 (define @t196 () (forall @t194 @t191)) % 103.17/103.46 (define @t197 () (or @t138 @t196)) % 103.17/103.46 (define @t198 () (= @t21 @t95)) % 103.17/103.46 (define @t199 () (not @t59)) % 103.17/103.46 (define @t200 () (forall @t8 (or @t199 @t198))) % 103.17/103.46 (define @t201 () (tptp.domain_of @t165)) % 103.17/103.46 (define @t202 () (@quantifiers_skolemize @t164 0)) % 103.17/103.46 (define @t203 () (tptp.domain @t202 @t167 @t165)) % 103.17/103.46 (define @t204 () (tptp.ilf_type @t165 (tptp.relation_type @t202 @t167))) % 103.17/103.46 (define @t205 () (not @t204)) % 103.17/103.46 (define @t206 () (tptp.ilf_type @t167 tptp.set_type)) % 103.17/103.46 (define @t207 () (not @t206)) % 103.17/103.46 (define @t208 () (tptp.ilf_type @t202 tptp.set_type)) % 103.17/103.46 (define @t209 () (not @t208)) % 103.17/103.46 (define @t210 () (or @t209 @t207 @t205 (= @t201 @t203))) % 103.17/103.46 (define @t211 () (forall @t179 @t176)) % 103.17/103.46 (define @t212 () (@list @t202 @t167 @t165)) % 103.17/103.46 (define @t213 () (= @t203 @t201)) % 103.17/103.46 (define @t214 () (or @t209 @t207 @t205 @t213)) % 103.17/103.46 (define @t215 () (@list false)) % 103.17/103.46 (define @t216 () (or @t161 @t160 @t159 @t158 @t157)) % 103.17/103.46 (define @t217 () (or @t76 @t126 @t216)) % 103.17/103.46 (define @t218 () (forall @t163 @t217)) % 103.17/103.46 (define @t219 () (@list @t156 @t154 @t155)) % 103.17/103.46 (define @t220 () (forall @t219 @t217)) % 103.17/103.46 (define @t221 () (forall @t219 @t216)) % 103.17/103.46 (define @t222 () (@var "BOUND_VARIABLE_8578" $$unsorted)) % 103.17/103.46 (define @t223 () (@var "BOUND_VARIABLE_8576" $$unsorted)) % 103.17/103.46 (define @t224 () (or @t76 @t126 @t221)) % 103.17/103.46 (define @t225 () (not @t105)) % 103.17/103.46 (define @t226 () (= (tptp.member @t222 (tptp.domain @t3 @t1 @t223)) (not (forall @t42 (or @t225 (not (tptp.member (tptp.ordered_pair @t222 @t36) @t223))))))) % 103.17/103.46 (define @t227 () (not (tptp.ilf_type @t222 @t75))) % 103.17/103.46 (define @t228 () (not (tptp.ilf_type @t223 @t40))) % 103.17/103.46 (define @t229 () (or @t69 @t138 @t228 @t227 @t226)) % 103.17/103.46 (define @t230 () (@list @t1 @t223 @t222)) % 103.17/103.46 (define @t231 () (forall @t230 @t229)) % 103.17/103.46 (define @t232 () (or @t76 @t126 @t231)) % 103.17/103.46 (define @t233 () (or @t228 @t227 @t226)) % 103.17/103.46 (define @t234 () (or @t69 @t138 @t233)) % 103.17/103.46 (define @t235 () (forall @t230 @t234)) % 103.17/103.46 (define @t236 () (@list @t223 @t222)) % 103.17/103.46 (define @t237 () (forall @t236 @t234)) % 103.17/103.46 (define @t238 () (forall @t236 @t233)) % 103.17/103.46 (define @t239 () (@var "BOUND_VARIABLE_8554" $$unsorted)) % 103.17/103.46 (define @t240 () (or @t69 @t138 @t238)) % 103.17/103.46 (define @t241 () (= (tptp.member @t239 @t95) (not (forall @t42 (or @t225 (not (tptp.member (tptp.ordered_pair @t239 @t36) @t2))))))) % 103.17/103.46 (define @t242 () (not (tptp.ilf_type @t239 @t75))) % 103.17/103.46 (define @t243 () (or @t199 @t242 @t241)) % 103.17/103.46 (define @t244 () (@list @t2 @t239)) % 103.17/103.46 (define @t245 () (forall @t244 @t243)) % 103.17/103.46 (define @t246 () (or @t69 @t138 @t245)) % 103.17/103.46 (define @t247 () (or @t69 @t138)) % 103.17/103.46 (define @t248 () (not @t71)) % 103.17/103.46 (define @t249 () (or @t242 @t241)) % 103.17/103.46 (define @t250 () (or @t199 @t249)) % 103.17/103.46 (define @t251 () (forall @t244 @t250)) % 103.17/103.46 (define @t252 () (@list @t239)) % 103.17/103.46 (define @t253 () (forall @t252 @t250)) % 103.17/103.46 (define @t254 () (forall @t252 @t249)) % 103.17/103.46 (define @t255 () (@list @t33)) % 103.17/103.46 (define @t256 () (or @t199 @t254)) % 103.17/103.46 (define @t257 () (= @t108 (not (forall @t42 (or @t225 (not @t104)))))) % 103.17/103.46 (define @t258 () (forall @t46 (or (not @t110) @t257))) % 103.17/103.46 (define @t259 () (forall @t42 (not @t106))) % 103.17/103.46 (define @t260 () (not @t259)) % 103.17/103.46 (define @t261 () (not @t169)) % 103.17/103.46 (define @t262 () (tptp.member @t166 @t203)) % 103.17/103.46 (define @t263 () (= @t262 @t261)) % 103.17/103.46 (define @t264 () (tptp.empty @t167)) % 103.17/103.46 (define @t265 () (or (tptp.empty @t202) @t209 @t264 @t207 @t205 (not (tptp.ilf_type @t166 (tptp.member_type @t202))) @t263)) % 103.17/103.46 (define @t266 () (@list true)) % 103.17/103.46 (define @t267 () (@list @t265)) % 103.17/103.46 (define @t268 () (@list false false false false)) % 103.17/103.46 (define @t269 () (not @t262)) % 103.17/103.46 (define @t270 () (not @t261)) % 103.17/103.46 (define @t271 () (tptp.member @t166 @t201)) % 103.17/103.46 (define @t272 () (and @t262 @t213)) % 103.17/103.46 (define @t273 () (not @t6)) % 103.17/103.46 (define @t274 () (forall @t8 (or @t273 (not (tptp.member (tptp.ordered_pair @t166 @t2) @t165))))) % 103.17/103.46 (define @t275 () (@quantifiers_skolemize @t274 0)) % 103.17/103.46 (define @t276 () (@list @t275)) % 103.17/103.46 (define @t277 () (tptp.member (tptp.ordered_pair @t166 @t275) @t165)) % 103.17/103.46 (define @t278 () (not @t277)) % 103.17/103.46 (define @t279 () (tptp.ilf_type @t275 @t168)) % 103.17/103.46 (define @t280 () (not @t279)) % 103.17/103.46 (define @t281 () (or @t280 @t278)) % 103.17/103.46 (define @t282 () (@var "BOUND_VARIABLE_7723" $$unsorted)) % 103.17/103.46 (define @t283 () (= (tptp.member @t3 (tptp.domain_of @t282)) (not (forall @t8 (or @t273 (not (tptp.member @t4 @t282))))))) % 103.17/103.46 (define @t284 () (not (tptp.ilf_type @t282 tptp.binary_relation_type))) % 103.17/103.46 (define @t285 () (or @t284 @t283)) % 103.17/103.46 (define @t286 () (or @t126 @t285)) % 103.17/103.46 (define @t287 () (forall (@list @t3 @t282) @t286)) % 103.17/103.46 (define @t288 () (@list @t282)) % 103.17/103.46 (define @t289 () (forall @t288 @t286)) % 103.17/103.46 (define @t290 () (forall @t288 @t285)) % 103.17/103.46 (define @t291 () (@list @t1)) % 103.17/103.46 (define @t292 () (or @t126 @t290)) % 103.17/103.46 (define @t293 () (= @t10 (not (forall @t8 (or @t273 (not @t5)))))) % 103.17/103.46 (define @t294 () (forall @t14 (or (not @t12) @t293))) % 103.17/103.46 (define @t295 () (forall @t8 (not @t7))) % 103.17/103.46 (define @t296 () (not @t295)) % 103.17/103.46 (define @t297 () (@list @t165)) % 103.17/103.46 (define @t298 () (tptp.ilf_type @t165 tptp.set_type)) % 103.17/103.46 (define @t299 () (tptp.relation_like @t165)) % 103.17/103.46 (define @t300 () (and @t299 @t298)) % 103.17/103.46 (define @t301 () (tptp.ilf_type @t165 tptp.binary_relation_type)) % 103.17/103.46 (define @t302 () (= @t301 @t300)) % 103.17/103.46 (define @t303 () (not @t298)) % 103.17/103.46 (define @t304 () (or @t303 @t302)) % 103.17/103.46 (define @t305 () (@list false false)) % 103.17/103.46 (define @t306 () (@var "BOUND_VARIABLE_8348" $$unsorted)) % 103.17/103.46 (define @t307 () (tptp.relation_like @t306)) % 103.17/103.46 (define @t308 () (@var "BOUND_VARIABLE_8346" $$unsorted)) % 103.17/103.46 (define @t309 () (not (tptp.ilf_type @t306 (tptp.subset_type (tptp.cross_product @t3 @t308))))) % 103.17/103.46 (define @t310 () (not (tptp.ilf_type @t308 tptp.set_type))) % 103.17/103.46 (define @t311 () (or @t310 @t309 @t307)) % 103.17/103.46 (define @t312 () (or @t126 @t311)) % 103.17/103.46 (define @t313 () (forall (@list @t3 @t308 @t306) @t312)) % 103.17/103.46 (define @t314 () (@list @t308 @t306)) % 103.17/103.46 (define @t315 () (forall @t314 @t312)) % 103.17/103.46 (define @t316 () (forall @t314 @t311)) % 103.17/103.46 (define @t317 () (@var "BOUND_VARIABLE_8331" $$unsorted)) % 103.17/103.46 (define @t318 () (or @t126 @t316)) % 103.17/103.46 (define @t319 () (tptp.relation_like @t317)) % 103.17/103.46 (define @t320 () (not (tptp.ilf_type @t317 @t55))) % 103.17/103.46 (define @t321 () (or @t138 @t320 @t319)) % 103.17/103.46 (define @t322 () (@list @t1 @t317)) % 103.17/103.46 (define @t323 () (forall @t322 @t321)) % 103.17/103.46 (define @t324 () (or @t320 @t319)) % 103.17/103.46 (define @t325 () (or @t138 @t324)) % 103.17/103.46 (define @t326 () (forall @t322 @t325)) % 103.17/103.46 (define @t327 () (@list @t317)) % 103.17/103.46 (define @t328 () (forall @t327 @t325)) % 103.17/103.46 (define @t329 () (forall @t327 @t324)) % 103.17/103.46 (define @t330 () (or @t138 @t329)) % 103.17/103.46 (define @t331 () (not @t60)) % 103.17/103.46 (define @t332 () (forall @t8 (or @t331 @t89))) % 103.17/103.46 (define @t333 () (@var "BOUND_VARIABLE_8021" $$unsorted)) % 103.17/103.46 (define @t334 () (tptp.subset_type (tptp.cross_product @t3 @t333))) % 103.17/103.46 (define @t335 () (@var "BOUND_VARIABLE_8025" $$unsorted)) % 103.17/103.46 (define @t336 () (tptp.relation_type @t3 @t333)) % 103.17/103.46 (define @t337 () (@var "BOUND_VARIABLE_8023" $$unsorted)) % 103.17/103.46 (define @t338 () (and (or (not (tptp.ilf_type @t337 @t334)) (tptp.ilf_type @t337 @t336)) (or (not (tptp.ilf_type @t335 @t336)) (tptp.ilf_type @t335 @t334)))) % 103.17/103.46 (define @t339 () (not (tptp.ilf_type @t333 tptp.set_type))) % 103.17/103.46 (define @t340 () (or @t339 @t338)) % 103.17/103.46 (define @t341 () (or @t126 @t340)) % 103.17/103.46 (define @t342 () (forall (@list @t3 @t333 @t337 @t335) @t341)) % 103.17/103.46 (define @t343 () (@list @t333 @t337 @t335)) % 103.17/103.46 (define @t344 () (forall @t343 @t341)) % 103.17/103.46 (define @t345 () (forall @t343 @t340)) % 103.17/103.46 (define @t346 () (@var "BOUND_VARIABLE_8007" $$unsorted)) % 103.17/103.46 (define @t347 () (@var "BOUND_VARIABLE_8001" $$unsorted)) % 103.17/103.46 (define @t348 () (or @t126 @t345)) % 103.17/103.46 (define @t349 () (or (not (tptp.ilf_type @t346 @t40)) (tptp.ilf_type @t346 @t55))) % 103.17/103.46 (define @t350 () (or (not (tptp.ilf_type @t347 @t55)) (tptp.ilf_type @t347 @t40))) % 103.17/103.46 (define @t351 () (and @t350 @t349)) % 103.17/103.46 (define @t352 () (or @t138 @t351)) % 103.17/103.46 (define @t353 () (forall (@list @t1 @t347 @t346) @t352)) % 103.17/103.46 (define @t354 () (@list @t347 @t346)) % 103.17/103.46 (define @t355 () (forall @t354 @t352)) % 103.17/103.46 (define @t356 () (forall (@list @t346) @t349)) % 103.17/103.46 (define @t357 () (forall @t354 @t349)) % 103.17/103.46 (define @t358 () (forall (@list @t347) @t350)) % 103.17/103.46 (define @t359 () (forall @t354 @t350)) % 103.17/103.46 (define @t360 () (and @t359 @t357)) % 103.17/103.46 (define @t361 () (forall @t354 @t351)) % 103.17/103.46 (define @t362 () (or @t138 @t361)) % 103.17/103.46 (define @t363 () (and (forall @t8 (or @t331 @t59)) (forall @t46 (or (not @t57) @t56)))) % 103.17/103.46 (define @t364 () (tptp.ilf_type @t165 (tptp.subset_type (tptp.cross_product @t202 @t167)))) % 103.17/103.46 (define @t365 () (or @t205 @t364)) % 103.17/103.46 (define @t366 () (not @t364)) % 103.17/103.46 (define @t367 () (and (or @t366 @t204) @t365)) % 103.17/103.46 (define @t368 () (or @t209 @t207 @t367)) % 103.17/103.46 (define @t369 () (@list false false false)) % 103.17/103.46 (define @t370 () (or @t209 @t207 @t366 @t299)) % 103.17/103.46 (define @t371 () (not @t274)) % 103.17/103.46 (define @t372 () (= @t271 @t371)) % 103.17/103.46 (define @t373 () (not @t301)) % 103.17/103.46 (define @t374 () (tptp.ilf_type @t166 tptp.set_type)) % 103.17/103.46 (define @t375 () (not @t374)) % 103.17/103.46 (define @t376 () (or @t375 @t373 @t372)) % 103.17/103.46 (define @t377 () (not @t271)) % 103.17/103.46 (define @t378 () (tptp.ilf_type @t275 tptp.set_type)) % 103.17/103.46 (define @t379 () (not @t378)) % 103.17/103.46 (define @t380 () (or @t379 @t278)) % 103.17/103.46 (define @t381 () (not @t380)) % 103.17/103.46 (define @t382 () (@var "BOUND_VARIABLE_7882" $$unsorted)) % 103.17/103.46 (define @t383 () (@var "BOUND_VARIABLE_7880" $$unsorted)) % 103.17/103.46 (define @t384 () (@var "BOUND_VARIABLE_7878" $$unsorted)) % 103.17/103.46 (define @t385 () (not (tptp.member (tptp.ordered_pair @t384 @t383) @t382))) % 103.17/103.46 (define @t386 () (@var "BOUND_VARIABLE_7876" $$unsorted)) % 103.17/103.46 (define @t387 () (not (tptp.ilf_type @t382 (tptp.relation_type @t3 @t386)))) % 103.17/103.46 (define @t388 () (and (tptp.member @t384 @t3) (tptp.member @t383 @t386))) % 103.17/103.46 (define @t389 () (not (tptp.ilf_type @t383 tptp.set_type))) % 103.17/103.46 (define @t390 () (not (tptp.ilf_type @t384 tptp.set_type))) % 103.17/103.46 (define @t391 () (not (tptp.ilf_type @t386 tptp.set_type))) % 103.17/103.46 (define @t392 () (or @t391 @t390 @t389 @t388 @t387 @t385)) % 103.17/103.46 (define @t393 () (or @t126 @t392)) % 103.17/103.46 (define @t394 () (forall (@list @t3 @t386 @t384 @t383 @t382) @t393)) % 103.17/103.46 (define @t395 () (@list @t386 @t384 @t383 @t382)) % 103.17/103.46 (define @t396 () (forall @t395 @t393)) % 103.17/103.46 (define @t397 () (forall @t395 @t392)) % 103.17/103.46 (define @t398 () (@var "BOUND_VARIABLE_7852" $$unsorted)) % 103.17/103.46 (define @t399 () (@var "BOUND_VARIABLE_7850" $$unsorted)) % 103.17/103.46 (define @t400 () (@var "BOUND_VARIABLE_7848" $$unsorted)) % 103.17/103.46 (define @t401 () (or @t126 @t397)) % 103.17/103.46 (define @t402 () (not (tptp.member (tptp.ordered_pair @t400 @t399) @t398))) % 103.17/103.46 (define @t403 () (not (tptp.ilf_type @t398 @t40))) % 103.17/103.46 (define @t404 () (and (tptp.member @t400 @t3) (tptp.member @t399 @t1))) % 103.17/103.46 (define @t405 () (not (tptp.ilf_type @t399 tptp.set_type))) % 103.17/103.46 (define @t406 () (not (tptp.ilf_type @t400 tptp.set_type))) % 103.17/103.46 (define @t407 () (or @t138 @t406 @t405 @t404 @t403 @t402)) % 103.17/103.46 (define @t408 () (@list @t1 @t400 @t399 @t398)) % 103.17/103.46 (define @t409 () (forall @t408 @t407)) % 103.17/103.46 (define @t410 () (or @t406 @t405 @t404 @t403 @t402)) % 103.17/103.46 (define @t411 () (or @t138 @t410)) % 103.17/103.46 (define @t412 () (forall @t408 @t411)) % 103.17/103.46 (define @t413 () (@list @t400 @t399 @t398)) % 103.17/103.46 (define @t414 () (forall @t413 @t411)) % 103.17/103.46 (define @t415 () (forall @t413 @t410)) % 103.17/103.46 (define @t416 () (@var "BOUND_VARIABLE_7827" $$unsorted)) % 103.17/103.46 (define @t417 () (@var "BOUND_VARIABLE_7825" $$unsorted)) % 103.17/103.46 (define @t418 () (or @t138 @t415)) % 103.17/103.46 (define @t419 () (not (tptp.member (tptp.ordered_pair @t2 @t417) @t416))) % 103.17/103.46 (define @t420 () (not (tptp.ilf_type @t416 @t40))) % 103.17/103.46 (define @t421 () (and @t34 (tptp.member @t417 @t1))) % 103.17/103.46 (define @t422 () (not (tptp.ilf_type @t417 tptp.set_type))) % 103.17/103.46 (define @t423 () (or @t273 @t422 @t421 @t420 @t419)) % 103.17/103.46 (define @t424 () (@list @t2 @t417 @t416)) % 103.17/103.46 (define @t425 () (forall @t424 @t423)) % 103.17/103.46 (define @t426 () (or @t422 @t421 @t420 @t419)) % 103.17/103.46 (define @t427 () (or @t273 @t426)) % 103.17/103.46 (define @t428 () (forall @t424 @t427)) % 103.17/103.46 (define @t429 () (@list @t417 @t416)) % 103.17/103.46 (define @t430 () (forall @t429 @t427)) % 103.17/103.46 (define @t431 () (forall @t429 @t426)) % 103.17/103.46 (define @t432 () (@var "BOUND_VARIABLE_7809" $$unsorted)) % 103.17/103.46 (define @t433 () (or @t273 @t431)) % 103.17/103.46 (define @t434 () (not (tptp.member @t37 @t432))) % 103.17/103.46 (define @t435 () (not (tptp.ilf_type @t432 @t40))) % 103.17/103.46 (define @t436 () (not @t44)) % 103.17/103.46 (define @t437 () (or @t436 @t35 @t435 @t434)) % 103.17/103.46 (define @t438 () (@list @t33 @t432)) % 103.17/103.46 (define @t439 () (forall @t438 @t437)) % 103.17/103.46 (define @t440 () (or @t435 @t434)) % 103.17/103.46 (define @t441 () (or @t436 @t35 @t440)) % 103.17/103.46 (define @t442 () (forall @t438 @t441)) % 103.17/103.46 (define @t443 () (@list @t432)) % 103.17/103.46 (define @t444 () (forall @t443 @t441)) % 103.17/103.46 (define @t445 () (forall @t443 @t440)) % 103.17/103.46 (define @t446 () (or @t436 @t35 @t445)) % 103.17/103.46 (define @t447 () (not @t38)) % 103.17/103.46 (define @t448 () (not @t41)) % 103.17/103.46 (define @t449 () (or @t448 @t447)) % 103.17/103.46 (define @t450 () (forall @t42 @t449)) % 103.17/103.46 (define @t451 () (or @t436 @t35 @t450)) % 103.17/103.46 (define @t452 () (or @t35 @t450)) % 103.17/103.46 (define @t453 () (or @t35 @t449)) % 103.17/103.46 (define @t454 () (or @t448 @t447 @t35)) % 103.17/103.46 (define @t455 () (tptp.member @t275 @t167)) % 103.17/103.46 (define @t456 () (and (tptp.member @t166 @t202) @t455)) % 103.17/103.46 (define @t457 () (or @t209 @t207 @t375 @t379 @t456 @t205 @t278)) % 103.17/103.46 (define @t458 () (@var "BOUND_VARIABLE_8083" $$unsorted)) % 103.17/103.46 (define @t459 () (= (tptp.ilf_type @t3 (tptp.member_type @t458)) (tptp.member @t3 @t458))) % 103.17/103.46 (define @t460 () (not (tptp.ilf_type @t458 tptp.set_type))) % 103.17/103.46 (define @t461 () (tptp.empty @t458)) % 103.17/103.46 (define @t462 () (or @t126 @t461 @t460 @t459)) % 103.17/103.46 (define @t463 () (or @t461 @t460 @t459)) % 103.17/103.46 (define @t464 () (or @t126 @t463)) % 103.17/103.46 (define @t465 () (@list @t3 @t458)) % 103.17/103.46 (define @t466 () (forall @t465 @t464)) % 103.17/103.46 (define @t467 () (@list @t458)) % 103.17/103.46 (define @t468 () (forall @t467 @t464)) % 103.17/103.46 (define @t469 () (forall @t467 @t463)) % 103.17/103.46 (define @t470 () (or @t126 @t469)) % 103.17/103.46 (define @t471 () (or @t69 @t138 @t68)) % 103.17/103.46 (define @t472 () (forall @t14 @t471)) % 103.17/103.46 (define @t473 () (or @t379 @t264 @t207 (= @t279 @t455))) % 103.17/103.46 (define @t474 () (forall @t465 @t462)) % 103.17/103.46 (define @t475 () (= @t455 @t279)) % 103.17/103.46 (define @t476 () (or @t379 @t264 @t207 @t475)) % 103.17/103.46 (define @t477 () (not @t213)) % 103.17/103.46 (define @t478 () (and @t269 @t213)) % 103.17/103.46 (define @t479 () (@list true false)) % 103.17/103.46 (define @t480 () (and @t271 (tptp.member @t170 (tptp.range_of @t165)))) % 103.17/103.46 (define @t481 () (not @t480)) % 103.17/103.46 (define @t482 () (tptp.member (tptp.ordered_pair @t166 @t170) @t165)) % 103.17/103.46 (define @t483 () (not @t482)) % 103.17/103.46 (define @t484 () (or (not (tptp.ilf_type @t170 @t168)) @t483)) % 103.17/103.46 (define @t485 () (not @t484)) % 103.17/103.46 (define @t486 () (tptp.ilf_type @t170 tptp.set_type)) % 103.17/103.46 (define @t487 () (not @t486)) % 103.17/103.46 (define @t488 () (or @t375 @t487 @t373 @t483 @t480)) % 103.17/103.46 (assume @p1 @t19) % 103.17/103.46 (assume @p2 @t32) % 103.17/103.46 (assume @p3 @t53) % 103.17/103.46 (assume @p4 (forall @t18 (=> @t16 (forall @t14 (=> @t28 (forall @t8 (=> @t6 (forall @t46 (=> @t44 (forall @t42 (=> (tptp.ilf_type @t36 tptp.set_type) (= (= @t36 @t37) (= @t36 (tptp.unordered_pair (tptp.unordered_pair @t2 @t33) (tptp.singleton @t2))))))))))))))) % 103.17/103.46 (assume @p5 (forall @t18 (=> @t16 (forall @t14 (=> @t28 (tptp.ilf_type @t23 tptp.set_type)))))) % 103.17/103.46 (assume @p6 @t66) % 103.17/103.46 (assume @p7 (forall @t18 (=> @t16 (forall @t14 (=> @t28 (exists @t8 (tptp.ilf_type @t2 (tptp.relation_type @t1 @t3)))))))) % 103.17/103.46 (assume @p8 @t74) % 103.17/103.46 (assume @p9 (forall @t18 (=> @t78 (exists @t14 (tptp.ilf_type @t1 @t75))))) % 103.17/103.46 (assume @p10 (forall @t18 (=> @t16 (= @t76 (forall @t14 (=> @t28 (not @t79))))))) % 103.17/103.46 (assume @p11 (forall @t18 (=> @t80 (tptp.ilf_type (tptp.domain_of @t3) tptp.set_type)))) % 103.17/103.46 (assume @p12 (forall @t18 (=> @t16 (tptp.ilf_type (tptp.singleton @t3) tptp.set_type)))) % 103.17/103.46 (assume @p13 (forall @t18 (=> @t16 (forall @t14 (=> @t28 (tptp.ilf_type @t54 tptp.set_type)))))) % 103.17/103.46 (assume @p14 (forall @t18 (=> @t80 (tptp.ilf_type (tptp.range_of @t3) tptp.set_type)))) % 103.17/103.46 (assume @p15 (forall @t18 (=> @t16 (forall @t14 (=> @t28 (tptp.ilf_type @t81 tptp.set_type)))))) % 103.17/103.46 (assume @p16 (forall @t18 (=> @t16 (forall @t14 (=> @t28 (= @t81 (tptp.unordered_pair @t1 @t3))))))) % 103.17/103.46 (assume @p17 @t84) % 103.17/103.46 (assume @p18 (exists @t18 @t80)) % 103.17/103.46 (assume @p19 (forall @t18 (=> @t16 (forall @t14 (=> @t28 (= @t87 (tptp.ilf_type @t1 (tptp.member_type @t85)))))))) % 103.17/103.46 (assume @p20 (forall @t18 (=> @t16 (exists @t14 @t87)))) % 103.17/103.46 (assume @p21 (forall @t18 (=> @t16 (forall @t14 (=> @t28 (= (= @t3 @t1) (forall @t8 (=> @t6 (= @t34 @t88))))))))) % 103.17/103.46 (assume @p22 (forall @t18 (=> @t16 (forall @t14 (=> @t28 (= (tptp.member @t3 (tptp.power_set @t1)) (forall @t8 (=> @t6 (=> @t34 @t88))))))))) % 103.17/103.46 (assume @p23 (forall @t18 (=> @t16 (and (not (tptp.empty @t85)) (tptp.ilf_type @t85 tptp.set_type))))) % 103.17/103.46 (assume @p24 (forall @t18 (=> @t16 (= @t82 (forall @t14 (=> @t28 (=> @t79 (exists @t8 (and @t6 (exists @t46 (and @t44 (= @t1 @t37)))))))))))) % 103.17/103.46 (assume @p25 (forall @t18 (=> (and @t76 @t16) @t82))) % 103.17/103.46 (assume @p26 @t94) % 103.17/103.46 (assume @p27 @t101) % 103.17/103.46 (assume @p28 (forall @t18 (=> @t16 (forall @t14 (=> @t28 (forall @t8 (=> @t59 (tptp.ilf_type @t95 @t86)))))))) % 103.17/103.46 (assume @p29 (forall @t18 (=> @t16 (forall @t14 (=> @t28 (forall @t8 (=> @t59 (= @t102 @t20)))))))) % 103.17/103.46 (assume @p30 (forall @t18 (=> @t16 (forall @t14 (=> @t28 (forall @t8 (=> @t59 (tptp.ilf_type @t102 (tptp.subset_type @t1))))))))) % 103.17/103.46 (assume @p31 @t103) % 103.17/103.46 (assume @p32 @t119) % 103.17/103.46 (assume @p33 true) % 103.17/103.46 (step @p34 :rule aci_norm :args ((= @t128 (or @t126 @t125 @t124 @t123 @t122)))) % 103.17/103.46 (step @p35 :rule cong :premises (@p34) :args (@t129)) % 103.17/103.46 (step @p36 :rule quant-merge-prenex :args ((= (forall @t18 @t131) @t129))) % 103.17/103.46 (step @p37 :rule alpha_equiv :args (@t132 (@list @t121 @t120) (@list @t1 @t133))) % 103.17/103.46 (step @p38 :rule refl :args (@t126)) % 103.17/103.46 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t134)) % 103.17/103.46 (step @p40 :rule quant-miniscope-or :args ((= @t131 @t134))) % 103.17/103.46 (step @p41 :rule trans :premises (@p40 @p39)) % 103.17/103.46 (step @p42 :rule symm :premises (@p41)) % 103.17/103.46 (step @p43 :rule cong :premises (@p42) :args ((forall @t18 (or @t126 @t141)))) % 103.17/103.46 (step @p44 :rule trans :premises (@p43 @p36)) % 103.17/103.46 (step @p45 :rule trans :premises (@p44 @p35)) % 103.17/103.46 (step @p46 :rule bool-impl-elim :args (@t16 @t141)) % 103.17/103.46 (step @p47 :rule cong :premises (@p46) :args ((forall @t18 (=> @t16 @t141)))) % 103.17/103.46 (step @p48 :rule trans :premises (@p47 @p45)) % 103.17/103.46 (step @p49 :rule aci_norm :args ((= @t143 @t139))) % 103.17/103.46 (step @p50 :rule cong :premises (@p49) :args (@t144)) % 103.17/103.46 (step @p51 :rule quant-merge-prenex :args ((= (forall @t14 @t146) @t144))) % 103.17/103.46 (step @p52 :rule alpha_equiv :args (@t147 (@list @t133) @t148)) % 103.17/103.46 (step @p53 :rule refl :args (@t138)) % 103.17/103.46 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t149)) % 103.17/103.46 (step @p55 :rule quant-miniscope-or :args ((= @t146 @t149))) % 103.17/103.46 (step @p56 :rule trans :premises (@p55 @p54)) % 103.17/103.46 (step @p57 :rule symm :premises (@p56)) % 103.17/103.46 (step @p58 :rule cong :premises (@p57) :args ((forall @t14 (or @t138 @t153)))) % 103.17/103.46 (step @p59 :rule trans :premises (@p58 @p51)) % 103.17/103.46 (step @p60 :rule trans :premises (@p59 @p50)) % 103.17/103.46 (step @p61 :rule bool-impl-elim :args (@t28 @t153)) % 103.17/103.46 (step @p62 :rule cong :premises (@p61) :args ((forall @t14 (=> @t28 @t153)))) % 103.17/103.46 (step @p63 :rule trans :premises (@p62 @p60)) % 103.17/103.46 (step @p64 :rule aci_norm :args ((= (or @t151 (or @t150 @t22)) @t152))) % 103.17/103.46 (step @p65 :rule bool-impl-elim :args (@t24 @t22)) % 103.17/103.46 (step @p66 :rule refl :args (@t151)) % 103.17/103.46 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t151 @t25))) % 103.17/103.46 (step @p68 :rule trans :premises (@p67 @p64)) % 103.17/103.46 (step @p69 :rule bool-impl-elim :args (@t26 @t25)) % 103.17/103.46 (step @p70 :rule trans :premises (@p69 @p68)) % 103.17/103.46 (step @p71 :rule cong :premises (@p70) :args (@t27)) % 103.17/103.46 (step @p72 :rule refl :args (@t28)) % 103.17/103.46 (step @p73 :rule cong :premises (@p72 @p71) :args (@t29)) % 103.17/103.46 (step @p74 :rule cong :premises (@p73) :args (@t30)) % 103.17/103.46 (step @p75 :rule trans :premises (@p74 @p63)) % 103.17/103.46 (step @p76 :rule refl :args (@t16)) % 103.17/103.46 (step @p77 :rule cong :premises (@p76 @p75) :args (@t31)) % 103.17/103.46 (step @p78 :rule cong :premises (@p77) :args (@t32)) % 103.17/103.46 (step @p79 :rule trans :premises (@p78 @p48)) % 103.17/103.46 (step @p80 :rule eq_resolve :premises (@p2 @p79)) % 103.17/103.46 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t166 @t170 @t165))) % 103.17/103.46 (step @p82 :rule aci_norm :args ((= @t178 @t176))) % 103.17/103.46 (step @p83 :rule cong :premises (@p82) :args (@t180)) % 103.17/103.46 (step @p84 :rule quant-merge-prenex :args ((= (forall @t18 @t182) @t180))) % 103.17/103.46 (step @p85 :rule alpha_equiv :args (@t183 (@list @t172 @t171) (@list @t1 @t184))) % 103.17/103.46 (step @p86 :rule nary_cong :premises (@p38 @p85) :args (@t185)) % 103.17/103.46 (step @p87 :rule quant-miniscope-or :args ((= @t182 @t185))) % 103.17/103.46 (step @p88 :rule trans :premises (@p87 @p86)) % 103.17/103.46 (step @p89 :rule symm :premises (@p88)) % 103.17/103.46 (step @p90 :rule cong :premises (@p89) :args ((forall @t18 (or @t126 @t190)))) % 103.17/103.46 (step @p91 :rule trans :premises (@p90 @p84)) % 103.17/103.46 (step @p92 :rule trans :premises (@p91 @p83)) % 103.17/103.46 (step @p93 :rule bool-impl-elim :args (@t16 @t190)) % 103.17/103.46 (step @p94 :rule cong :premises (@p93) :args ((forall @t18 (=> @t16 @t190)))) % 103.17/103.46 (step @p95 :rule trans :premises (@p94 @p92)) % 103.17/103.46 (step @p96 :rule aci_norm :args ((= @t192 @t188))) % 103.17/103.46 (step @p97 :rule cong :premises (@p96) :args (@t193)) % 103.17/103.46 (step @p98 :rule quant-merge-prenex :args ((= (forall @t14 @t195) @t193))) % 103.17/103.46 (step @p99 :rule alpha_equiv :args (@t196 (@list @t184) @t148)) % 103.17/103.46 (step @p100 :rule nary_cong :premises (@p53 @p99) :args (@t197)) % 103.17/103.46 (step @p101 :rule quant-miniscope-or :args ((= @t195 @t197))) % 103.17/103.46 (step @p102 :rule trans :premises (@p101 @p100)) % 103.17/103.46 (step @p103 :rule symm :premises (@p102)) % 103.17/103.46 (step @p104 :rule cong :premises (@p103) :args ((forall @t14 (or @t138 @t200)))) % 103.17/103.46 (step @p105 :rule trans :premises (@p104 @p98)) % 103.17/103.46 (step @p106 :rule trans :premises (@p105 @p97)) % 103.17/103.46 (step @p107 :rule bool-impl-elim :args (@t28 @t200)) % 103.17/103.46 (step @p108 :rule cong :premises (@p107) :args ((forall @t14 (=> @t28 @t200)))) % 103.17/103.46 (step @p109 :rule trans :premises (@p108 @p106)) % 103.17/103.46 (step @p110 :rule bool-impl-elim :args (@t59 @t198)) % 103.17/103.46 (step @p111 :rule cong :premises (@p110) :args ((forall @t8 (=> @t59 @t198)))) % 103.17/103.46 (step @p112 :rule eq-symm :args (@t95 @t21)) % 103.17/103.46 (step @p113 :rule refl :args (@t59)) % 103.17/103.46 (step @p114 :rule cong :premises (@p113 @p112) :args (@t96)) % 103.17/103.46 (step @p115 :rule cong :premises (@p114) :args (@t97)) % 103.17/103.46 (step @p116 :rule trans :premises (@p115 @p111)) % 103.17/103.46 (step @p117 :rule cong :premises (@p72 @p116) :args (@t98)) % 103.17/103.46 (step @p118 :rule cong :premises (@p117) :args (@t99)) % 103.17/103.46 (step @p119 :rule trans :premises (@p118 @p109)) % 103.17/103.46 (step @p120 :rule cong :premises (@p76 @p119) :args (@t100)) % 103.17/103.46 (step @p121 :rule cong :premises (@p120) :args (@t101)) % 103.17/103.46 (step @p122 :rule trans :premises (@p121 @p95)) % 103.17/103.46 (step @p123 :rule eq_resolve :premises (@p27 @p122)) % 103.17/103.46 (step @p124 :rule eq-symm :args (@t201 @t203)) % 103.17/103.46 (step @p125 :rule refl :args (@t205)) % 103.17/103.46 (step @p126 :rule refl :args (@t207)) % 103.17/103.46 (step @p127 :rule refl :args (@t209)) % 103.17/103.46 (step @p128 :rule nary_cong :premises (@p127 @p126 @p125 @p124) :args (@t210)) % 103.17/103.46 (step @p129 :rule refl :args (@t211)) % 103.17/103.46 (step @p130 :rule cong :premises (@p129 @p128) :args ((=> @t211 @t210))) % 103.17/103.46 (assume-push @p646 @t211) % 103.17/103.46 (step @p132 :rule instantiate :premises (@p123) :args (@t212)) % 103.17/103.46 (step-pop @p647 :rule scope :premises (@p132)) % 103.17/103.46 (step @p133 :rule process_scope :premises (@p647) :args (@t210)) % 103.17/103.46 (step @p135 :rule eq_resolve :premises (@p133 @p130)) % 103.17/103.46 (step @p136 :rule implies_elim :premises (@p135)) % 103.17/103.46 (step @p137 :rule chain_m_resolution :premises (@p136 @p123) :args (@t214 @t215 (@list @t211))) % 103.17/103.46 (step @p138 :rule aci_norm :args ((= @t217 @t162))) % 103.17/103.46 (step @p139 :rule cong :premises (@p138) :args (@t218)) % 103.17/103.46 (step @p140 :rule quant-merge-prenex :args ((= (forall @t18 @t220) @t218))) % 103.17/103.46 (step @p141 :rule alpha_equiv :args (@t221 (@list @t156 @t154 @t155) (@list @t1 @t223 @t222))) % 103.17/103.46 (step @p142 :rule refl :args (@t76)) % 103.17/103.46 (step @p143 :rule nary_cong :premises (@p142 @p38 @p141) :args (@t224)) % 103.17/103.46 (step @p144 :rule quant-miniscope-or :args ((= @t220 @t224))) % 103.17/103.46 (step @p145 :rule trans :premises (@p144 @p143)) % 103.17/103.46 (step @p146 :rule symm :premises (@p145)) % 103.17/103.46 (step @p147 :rule cong :premises (@p146) :args ((forall @t18 @t232))) % 103.17/103.46 (step @p148 :rule trans :premises (@p147 @p140)) % 103.17/103.46 (step @p149 :rule trans :premises (@p148 @p139)) % 103.17/103.46 (step @p150 :rule aci_norm :args ((= (or (or @t76 @t126) @t231) @t232))) % 103.17/103.46 (step @p151 :rule refl :args (@t231)) % 103.17/103.46 (step @p152 :rule bool-double-not-elim :args (@t76)) % 103.17/103.46 (step @p153 :rule nary_cong :premises (@p152 @p38) :args ((or (not @t77) @t126))) % 103.17/103.46 (step @p154 :rule bool-and-de-morgan :args (@t77 @t16 true)) % 103.17/103.46 (step @p155 :rule trans :premises (@p154 @p153)) % 103.17/103.46 (step @p156 :rule nary_cong :premises (@p155 @p151) :args ((or (not @t78) @t231))) % 103.17/103.46 (step @p157 :rule trans :premises (@p156 @p150)) % 103.17/103.46 (step @p158 :rule bool-impl-elim :args (@t78 @t231)) % 103.17/103.46 (step @p159 :rule trans :premises (@p158 @p157)) % 103.17/103.46 (step @p160 :rule cong :premises (@p159) :args ((forall @t18 (=> @t78 @t231)))) % 103.17/103.46 (step @p161 :rule trans :premises (@p160 @p149)) % 103.17/103.46 (step @p162 :rule aci_norm :args ((= @t234 @t229))) % 103.17/103.46 (step @p163 :rule cong :premises (@p162) :args (@t235)) % 103.17/103.46 (step @p164 :rule quant-merge-prenex :args ((= (forall @t14 @t237) @t235))) % 103.17/103.46 (step @p165 :rule alpha_equiv :args (@t238 (@list @t223 @t222) (@list @t2 @t239))) % 103.17/103.46 (step @p166 :rule refl :args (@t69)) % 103.17/103.46 (step @p167 :rule nary_cong :premises (@p166 @p53 @p165) :args (@t240)) % 103.17/103.46 (step @p168 :rule quant-miniscope-or :args ((= @t237 @t240))) % 103.17/103.46 (step @p169 :rule trans :premises (@p168 @p167)) % 103.17/103.46 (step @p170 :rule symm :premises (@p169)) % 103.17/103.46 (step @p171 :rule cong :premises (@p170) :args ((forall @t14 @t246))) % 103.17/103.46 (step @p172 :rule trans :premises (@p171 @p164)) % 103.17/103.46 (step @p173 :rule trans :premises (@p172 @p163)) % 103.17/103.46 (step @p174 :rule aci_norm :args ((= (or @t247 @t245) @t246))) % 103.17/103.46 (step @p175 :rule refl :args (@t245)) % 103.17/103.46 (step @p176 :rule bool-double-not-elim :args (@t69)) % 103.17/103.46 (step @p177 :rule nary_cong :premises (@p176 @p53) :args ((or (not @t70) @t138))) % 103.17/103.46 (step @p178 :rule bool-and-de-morgan :args (@t70 @t28 true)) % 103.17/103.46 (step @p179 :rule trans :premises (@p178 @p177)) % 103.17/103.46 (step @p180 :rule nary_cong :premises (@p179 @p175) :args ((or @t248 @t245))) % 103.17/103.46 (step @p181 :rule trans :premises (@p180 @p174)) % 103.17/103.46 (step @p182 :rule bool-impl-elim :args (@t71 @t245)) % 103.17/103.46 (step @p183 :rule trans :premises (@p182 @p181)) % 103.17/103.46 (step @p184 :rule cong :premises (@p183) :args ((forall @t14 (=> @t71 @t245)))) % 103.17/103.46 (step @p185 :rule trans :premises (@p184 @p173)) % 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@p434 :rule bool-double-not-elim :args (@t274)) % 103.17/103.46 (step @p435 :rule nary_cong :premises (@p434 @p433) :args ((or (not @t371) @t381))) % 103.17/103.46 (assume-push @p658 @t371) % 103.17/103.46 (step @p437 :rule skolemize :premises (@p658)) % 103.17/103.46 (step-pop @p659 :rule scope :premises (@p437)) % 103.17/103.46 (step @p438 :rule process_scope :premises (@p659) :args (@t381)) % 103.17/103.46 (step @p440 :rule implies_elim :premises (@p438)) % 103.17/103.46 (step @p441 :rule eq_resolve :premises (@p440 @p435)) % 103.17/103.46 (step @p442 :rule bool-double-not-elim :args (@t277)) % 103.17/103.46 (step @p443 :rule refl :args (@t380)) % 103.17/103.46 (step @p444 :rule nary_cong :premises (@p443 @p442) :args ((or @t380 (not @t278)))) % 103.17/103.46 (step @p445 :rule cnf_or_neg :args (@t380 1)) % 103.17/103.46 (step @p446 :rule eq_resolve :premises (@p445 @p444)) % 103.17/103.46 (step @p447 :rule reordering :premises (@p446) :args ((or @t277 @t380))) % 103.17/103.46 (step @p448 :rule cnf_or_pos :args (@t281)) % 103.17/103.46 (step @p449 :rule reordering :premises (@p448) :args ((or @t278 @t280 (not @t281)))) % 103.17/103.46 (step @p450 :rule instantiate :premises (@p31) :args (@t276)) % 103.17/103.46 (step @p451 :rule aci_norm :args ((= @t393 (or @t126 @t391 @t390 @t389 @t388 @t387 @t385)))) % 103.17/103.46 (step @p452 :rule cong :premises (@p451) :args (@t394)) % 103.17/103.46 (step @p453 :rule quant-merge-prenex :args ((= (forall @t18 @t396) @t394))) % 103.17/103.46 (step @p454 :rule alpha_equiv :args (@t397 (@list @t386 @t384 @t383 @t382) (@list @t1 @t400 @t399 @t398))) % 103.17/103.46 (step @p455 :rule nary_cong :premises (@p38 @p454) :args (@t401)) % 103.17/103.46 (step @p456 :rule quant-miniscope-or :args ((= @t396 @t401))) % 103.17/103.46 (step @p457 :rule trans :premises (@p456 @p455)) % 103.17/103.46 (step @p458 :rule symm :premises (@p457)) % 103.17/103.46 (step @p459 :rule cong :premises (@p458) :args ((forall @t18 (or @t126 @t409)))) % 103.17/103.46 (step @p460 :rule trans :premises (@p459 @p453)) % 103.17/103.46 (step @p461 :rule trans :premises (@p460 @p452)) % 103.17/103.46 (step @p462 :rule bool-impl-elim :args (@t16 @t409)) % 103.17/103.46 (step @p463 :rule cong :premises (@p462) :args ((forall @t18 (=> @t16 @t409)))) % 103.17/103.46 (step @p464 :rule trans :premises (@p463 @p461)) % 103.17/103.46 (step @p465 :rule aci_norm :args ((= @t411 @t407))) % 103.17/103.46 (step @p466 :rule cong :premises (@p465) :args (@t412)) % 103.17/103.46 (step @p467 :rule quant-merge-prenex :args ((= (forall @t14 @t414) @t412))) % 103.17/103.46 (step @p468 :rule alpha_equiv :args (@t415 (@list @t400 @t399 @t398) (@list @t2 @t417 @t416))) % 103.17/103.46 (step @p469 :rule nary_cong :premises (@p53 @p468) :args (@t418)) % 103.17/103.46 (step @p470 :rule quant-miniscope-or :args ((= @t414 @t418))) % 103.17/103.46 (step @p471 :rule trans :premises (@p470 @p469)) % 103.17/103.46 (step @p472 :rule symm :premises (@p471)) % 103.17/103.46 (step @p473 :rule cong :premises (@p472) :args ((forall @t14 (or @t138 @t425)))) % 103.17/103.46 (step @p474 :rule trans :premises (@p473 @p467)) % 103.17/103.46 (step @p475 :rule trans :premises (@p474 @p466)) % 103.17/103.46 (step @p476 :rule bool-impl-elim :args (@t28 @t425)) % 103.17/103.46 (step @p477 :rule cong :premises (@p476) :args ((forall @t14 (=> @t28 @t425)))) % 103.17/103.46 (step @p478 :rule trans :premises (@p477 @p475)) % 103.17/103.46 (step @p479 :rule aci_norm :args ((= @t427 @t423))) % 103.17/103.46 (step @p480 :rule cong :premises (@p479) :args (@t428)) % 103.17/103.46 (step @p481 :rule quant-merge-prenex :args ((= (forall @t8 @t430) @t428))) % 103.17/103.46 (step @p482 :rule alpha_equiv :args (@t431 (@list @t417 @t416) (@list @t33 @t432))) % 103.17/103.46 (step @p483 :rule refl :args (@t273)) % 103.17/103.46 (step @p484 :rule nary_cong :premises (@p483 @p482) :args (@t433)) % 103.17/103.46 (step @p485 :rule quant-miniscope-or :args ((= @t430 @t433))) % 103.17/103.46 (step @p486 :rule trans :premises (@p485 @p484)) % 103.17/103.46 (step @p487 :rule symm :premises (@p486)) % 103.17/103.46 (step @p488 :rule cong :premises (@p487) :args ((forall @t8 (or @t273 @t439)))) % 103.17/103.46 (step @p489 :rule trans :premises (@p488 @p481)) % 103.17/103.46 (step @p490 :rule trans :premises (@p489 @p480)) % 103.17/103.46 (step @p491 :rule bool-impl-elim :args (@t6 @t439)) % 103.17/103.46 (step @p492 :rule cong :premises (@p491) :args ((forall @t8 (=> @t6 @t439)))) % 103.17/103.46 (step @p493 :rule trans :premises (@p492 @p490)) % 103.17/103.46 (step @p494 :rule aci_norm :args ((= @t441 @t437))) % 103.17/103.46 (step @p495 :rule cong :premises (@p494) :args (@t442)) % 103.17/103.46 (step @p496 :rule quant-merge-prenex :args ((= (forall @t46 @t444) @t442))) % 103.17/103.46 (step @p497 :rule alpha_equiv :args (@t445 (@list @t432) (@list @t36))) % 103.17/103.46 (step @p498 :rule refl :args (@t35)) % 103.17/103.46 (step @p499 :rule refl :args (@t436)) % 103.17/103.46 (step @p500 :rule nary_cong :premises (@p499 @p498 @p497) :args (@t446)) % 103.17/103.46 (step @p501 :rule quant-miniscope-or :args ((= @t444 @t446))) % 103.17/103.46 (step @p502 :rule trans :premises (@p501 @p500)) % 103.17/103.46 (step @p503 :rule symm :premises (@p502)) % 103.17/103.46 (step @p504 :rule cong :premises (@p503) :args ((forall @t46 @t451))) % 103.17/103.46 (step @p505 :rule trans :premises (@p504 @p496)) % 103.17/103.46 (step @p506 :rule trans :premises (@p505 @p495)) % 103.17/103.46 (step @p507 :rule aci_norm :args ((= (or @t436 @t452) @t451))) % 103.17/103.46 (step @p508 :rule bool-impl-elim :args (@t44 @t452)) % 103.17/103.46 (step @p509 :rule trans :premises (@p508 @p507)) % 103.17/103.46 (step @p510 :rule cong :premises (@p509) :args ((forall @t46 (=> @t44 @t452)))) % 103.17/103.46 (step @p511 :rule trans :premises (@p510 @p506)) % 103.17/103.46 (step @p512 :rule quant-miniscope-or :args ((= (forall @t42 @t453) @t452))) % 103.17/103.46 (step @p513 :rule aci_norm :args ((= @t454 @t453))) % 103.17/103.46 (step @p514 :rule cong :premises (@p513) :args ((forall @t42 @t454))) % 103.17/103.46 (step @p515 :rule trans :premises (@p514 @p512)) % 103.17/103.46 (step @p516 :rule aci_norm :args ((= (or @t448 (or @t447 @t35)) @t454))) % 103.17/103.46 (step @p517 :rule bool-impl-elim :args (@t38 @t35)) % 103.17/103.46 (step @p518 :rule refl :args (@t448)) % 103.17/103.46 (step @p519 :rule nary_cong :premises (@p518 @p517) :args ((or @t448 @t39))) % 103.17/103.46 (step @p520 :rule trans :premises (@p519 @p516)) % 103.17/103.46 (step @p521 :rule bool-impl-elim :args (@t41 @t39)) % 103.17/103.46 (step @p522 :rule trans :premises (@p521 @p520)) % 103.17/103.46 (step @p523 :rule cong :premises (@p522) :args (@t43)) % 103.17/103.46 (step @p524 :rule trans :premises (@p523 @p515)) % 103.17/103.46 (step @p525 :rule refl :args (@t44)) % 103.17/103.46 (step @p526 :rule cong :premises (@p525 @p524) :args (@t45)) % 103.17/103.46 (step @p527 :rule cong :premises (@p526) :args (@t47)) % 103.17/103.46 (step @p528 :rule trans :premises (@p527 @p511)) % 103.17/103.46 (step @p529 :rule refl :args (@t6)) % 103.17/103.46 (step @p530 :rule cong :premises (@p529 @p528) :args (@t48)) % 103.17/103.46 (step @p531 :rule cong :premises (@p530) :args (@t49)) % 103.17/103.46 (step @p532 :rule trans :premises (@p531 @p493)) % 103.17/103.46 (step @p533 :rule cong :premises (@p72 @p532) :args (@t50)) % 103.17/103.46 (step @p534 :rule cong :premises (@p533) :args (@t51)) % 103.17/103.46 (step @p535 :rule trans :premises (@p534 @p478)) % 103.17/103.46 (step @p536 :rule cong :premises (@p76 @p535) :args (@t52)) % 103.17/103.46 (step @p537 :rule cong :premises (@p536) :args (@t53)) % 103.17/103.46 (step @p538 :rule trans :premises (@p537 @p464)) % 103.17/103.46 (step @p539 :rule eq_resolve :premises (@p3 @p538)) % 103.17/103.46 (step @p540 :rule instantiate :premises (@p539) :args ((@list @t202 @t167 @t166 @t275 @t165))) % 103.17/103.46 (step @p541 :rule cnf_or_pos :args (@t457)) % 103.17/103.46 (step @p542 :rule reordering :premises (@p541) :args ((or @t209 @t207 @t205 @t375 @t379 @t278 @t456 (not @t457)))) % 103.17/103.46 (step @p543 :rule aci_norm :args ((= @t464 @t462))) % 103.17/103.46 (step @p544 :rule cong :premises (@p543) :args (@t466)) % 103.17/103.46 (step @p545 :rule quant-merge-prenex :args ((= (forall @t18 @t468) @t466))) % 103.17/103.46 (step @p546 :rule alpha_equiv :args (@t469 (@list @t458) @t291)) % 103.17/103.46 (step @p547 :rule nary_cong :premises (@p38 @p546) :args (@t470)) % 103.17/103.46 (step @p548 :rule quant-miniscope-or :args ((= @t468 @t470))) % 103.17/103.46 (step @p549 :rule trans :premises (@p548 @p547)) % 103.17/103.46 (step @p550 :rule symm :premises (@p549)) % 103.17/103.46 (step @p551 :rule cong :premises (@p550) :args ((forall @t18 (or @t126 @t472)))) % 103.17/103.46 (step @p552 :rule trans :premises (@p551 @p545)) % 103.17/103.46 (step @p553 :rule trans :premises (@p552 @p544)) % 103.17/103.46 (step @p554 :rule bool-impl-elim :args (@t16 @t472)) % 103.17/103.46 (step @p555 :rule cong :premises (@p554) :args ((forall @t18 (=> @t16 @t472)))) % 103.17/103.46 (step @p556 :rule trans :premises (@p555 @p553)) % 103.17/103.46 (step @p557 :rule aci_norm :args ((= (or @t247 @t68) @t471))) % 103.17/103.46 (step @p558 :rule refl :args (@t68)) % 103.17/103.46 (step @p559 :rule nary_cong :premises (@p179 @p558) :args ((or @t248 @t68))) % 103.17/103.46 (step @p560 :rule trans :premises (@p559 @p557)) % 103.17/103.46 (step @p561 :rule bool-impl-elim :args (@t71 @t68)) % 103.17/103.46 (step @p562 :rule trans :premises (@p561 @p560)) % 103.17/103.46 (step @p563 :rule cong :premises (@p562) :args (@t72)) % 103.17/103.46 (step @p564 :rule cong :premises (@p76 @p563) :args (@t73)) % 103.17/103.46 (step @p565 :rule cong :premises (@p564) :args (@t74)) % 103.17/103.46 (step @p566 :rule trans :premises (@p565 @p556)) % 103.17/103.46 (step @p567 :rule eq_resolve :premises (@p8 @p566)) % 103.17/103.46 (step @p568 :rule eq-symm :args (@t279 @t455)) % 103.17/103.46 (step @p569 :rule refl :args (@t264)) % 103.17/103.46 (step @p570 :rule refl :args (@t379)) % 103.17/103.46 (step @p571 :rule nary_cong :premises (@p570 @p569 @p126 @p568) :args (@t473)) % 103.17/103.46 (step @p572 :rule refl :args (@t474)) % 103.17/103.46 (step @p573 :rule cong :premises (@p572 @p571) :args ((=> @t474 @t473))) % 103.17/103.46 (assume-push @p660 @t474) % 103.17/103.46 (step @p575 :rule instantiate :premises (@p567) :args ((@list @t275 @t167))) % 103.17/103.46 (step-pop @p661 :rule scope :premises (@p575)) % 103.17/103.46 (step @p576 :rule process_scope :premises (@p661) :args (@t473)) % 103.17/103.46 (step @p578 :rule eq_resolve :premises (@p576 @p573)) % 103.17/103.46 (step @p579 :rule implies_elim :premises (@p578)) % 103.17/103.46 (step @p580 :rule chain_m_resolution :premises (@p579 @p567) :args (@t476 @t215 (@list @t474))) % 103.17/103.46 (step @p581 :rule cnf_or_neg :args (@t265 2)) % 103.17/103.46 (step @p582 :rule chain_m_resolution :premises (@p581 @p227) :args ((not @t264) @t266 @t267)) % 103.17/103.46 (step @p583 :rule cnf_or_pos :args (@t476)) % 103.17/103.46 (step @p584 :rule reordering :premises (@p583) :args ((or @t264 @t207 @t379 @t475 (not @t476)))) % 103.17/103.46 (step @p585 :rule chain_m_resolution :premises (@p584 @p582 @p240 @p450 @p580) :args (@t475 (@list true false false false) (@list @t264 @t206 @t378 @t476))) % 103.17/103.46 (step @p586 :rule cnf_equiv_pos1 :args (@t475)) % 103.17/103.46 (step @p587 :rule reordering :premises (@p586) :args ((or @t279 (not @t455) (not @t475)))) % 103.17/103.46 (step @p588 :rule cnf_and_pos :args (@t456 1)) % 103.17/103.46 (step @p589 :rule reordering :premises (@p588) :args ((or @t455 (not @t456)))) % 103.17/103.46 (step @p590 :rule chain_m_resolution :premises (@p589 @p587 @p585 @p542 @p540 @p450 @p427 @p234 @p240 @p246 @p449 @p447 @p441 @p432 @p430 @p284 @p279 @p249 @p258 @p251) :args (@t269 (@list true false false false false false false false false true false true true false false false false false true) (@list @t455 @t475 @t456 @t457 @t378 @t374 @t204 @t206 @t208 @t279 @t277 @t380 @t274 @t372 @t281 @t271 @t213 @t169 @t263))) % 103.17/103.46 (step @p591 :rule refl :args (@t377)) % 103.17/103.46 (step @p592 :rule refl :args (@t477)) % 103.17/103.46 (step @p593 :rule bool-double-not-elim :args (@t262)) % 103.17/103.46 (step @p594 :rule nary_cong :premises (@p593 @p592 @p591) :args ((or (not @t269) @t477 @t377))) % 103.17/103.46 (assume-push @p662 @t269) % 103.17/103.46 (assume-push @p663 @t213) % 103.17/103.46 (assume-push @p664 @t269) % 103.17/103.46 (assume-push @p665 @t213) % 103.17/103.46 (step @p599 :rule false_intro :premises (@p662)) % 103.17/103.46 (step @p264 :rule symm :premises (@p249)) % 103.17/103.46 (step @p265 :rule refl :args (@t166)) % 103.17/103.46 (step @p266 :rule cong :premises (@p265 @p264) :args (@t271)) % 103.17/103.46 (step @p600 :rule trans :premises (@p266 @p599)) % 103.17/103.46 (step @p601 :rule false_elim :premises (@p600)) % 103.17/103.46 (step-pop @p666 :rule scope :premises (@p601)) % 103.17/103.46 (step-pop @p667 :rule scope :premises (@p666)) % 103.17/103.46 (step @p602 :rule process_scope :premises (@p667) :args (@t377)) % 103.17/103.46 (step @p605 :rule and_intro :premises (@p662 @p249)) % 103.17/103.46 (step @p606 :rule modus_ponens :premises (@p605 @p602)) % 103.17/103.46 (step-pop @p668 :rule scope :premises (@p606)) % 103.17/103.46 (step-pop @p669 :rule scope :premises (@p668)) % 103.17/103.46 (step @p607 :rule process_scope :premises (@p669) :args (@t377)) % 103.17/103.46 (step @p610 :rule implies_elim :premises (@p607)) % 103.17/103.46 (step @p611 :rule cnf_and_neg :args (@t478)) % 103.17/103.46 (step @p612 :rule resolution :premises (@p611 @p610) :args (true @t478)) % 103.17/103.46 (step @p613 :rule eq_resolve :premises (@p612 @p594)) % 103.17/103.46 (step @p614 :rule chain_m_resolution :premises (@p613 @p590 @p249) :args (@t377 @t479 (@list @t262 @t213))) % 103.17/103.46 (step @p615 :rule cnf_and_pos :args (@t480 0)) % 103.17/103.46 (step @p616 :rule reordering :premises (@p615) :args ((or @t271 @t481))) % 103.17/103.46 (step @p617 :rule chain_m_resolution :premises (@p616 @p614) :args (@t481 @t266 (@list @t271))) % 103.17/103.46 (step @p618 :rule cnf_equiv_neg1 :args (@t263)) % 103.17/103.46 (step @p619 :rule reordering :premises (@p618) :args ((or @t262 @t261 @t263))) % 103.17/103.46 (step @p620 :rule chain_m_resolution :premises (@p619 @p590 @p251) :args (@t261 (@list true true) (@list @t262 @t263))) % 103.17/103.47 (step @p621 :rule refl :args (@t485)) % 103.17/103.47 (step @p622 :rule nary_cong :premises (@p252 @p621) :args ((or @t270 @t485))) % 103.17/103.47 (assume-push @p670 @t261) % 103.17/103.47 (step @p624 :rule skolemize :premises (@p670)) % 103.17/103.47 (step-pop @p671 :rule scope :premises (@p624)) % 103.17/103.47 (step @p625 :rule process_scope :premises (@p671) :args (@t485)) % 103.17/103.47 (step @p627 :rule implies_elim :premises (@p625)) % 103.17/103.47 (step @p628 :rule eq_resolve :premises (@p627 @p622)) % 103.17/103.47 (step @p629 :rule chain_m_resolution :premises (@p628 @p620) :args (@t485 @t266 (@list @t169))) % 103.17/103.47 (step @p630 :rule bool-double-not-elim :args (@t482)) % 103.17/103.47 (step @p631 :rule refl :args (@t484)) % 103.17/103.47 (step @p632 :rule nary_cong :premises (@p631 @p630) :args ((or @t484 (not @t483)))) % 103.17/103.47 (step @p633 :rule cnf_or_neg :args (@t484 1)) % 103.17/103.47 (step @p634 :rule eq_resolve :premises (@p633 @p632)) % 103.17/103.47 (step @p635 :rule reordering :premises (@p634) :args ((or @t482 @t484))) % 103.17/103.47 (step @p636 :rule chain_m_resolution :premises (@p635 @p629) :args (@t482 @t266 (@list @t484))) % 103.17/103.47 (step @p637 :rule cnf_or_pos :args (@t488)) % 103.17/103.47 (step @p638 :rule reordering :premises (@p637) :args ((or @t375 @t373 @t483 @t487 @t480 (not @t488)))) % 103.17/103.47 (step @p639 :rule chain_m_resolution :premises (@p638 @p427 @p426 @p636 @p617 @p81) :args (@t487 (@list false false false true false) (@list @t374 @t301 @t482 @t480 @t488))) % 103.17/103.47 (assume-push @p672 @t103) % 103.17/103.47 (step @p641 :rule instantiate :premises (@p31) :args ((@list @t170))) % 103.17/103.47 (step-pop @p673 :rule scope :premises (@p641)) % 103.17/103.47 (step @p642 :rule process_scope :premises (@p673) :args (@t486)) % 103.17/103.47 (step @p644 :rule implies_elim :premises (@p642)) % 103.17/103.47 (step @p645 false :rule chain_m_resolution :premises (@p644 @p639 @p31) :args (false @t479 (@list @t486 @t103))) % 103.17/103.47 ) % 103.17/103.47 % SZS output end Proof % 103.17/103.47 % cvc5 exiting %------------------------------------------------------------------------------