%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET675+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 35.24s 35.47s % Output : Proof 35.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET675+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n007.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:07:11 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 35.24/35.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.24/35.47 --- Run --no-e-matching --full-saturate-quant at 6... % 35.24/35.47 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.24/35.47 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.24/35.47 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.24/35.47 % SZS status Theorem % 35.24/35.47 % SZS output start Proof % 35.24/35.47 ( % 35.24/35.47 (declare-sort $$unsorted 0) % 35.24/35.47 (declare-const tptp.empty (-> $$unsorted Bool)) % 35.24/35.47 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 35.24/35.47 (declare-const tptp.member_type (-> $$unsorted $$unsorted)) % 35.24/35.47 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 35.24/35.47 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 35.24/35.47 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 35.24/35.47 (declare-const tptp.relation_like (-> $$unsorted Bool)) % 35.24/35.47 (declare-const tptp.subset_type (-> $$unsorted $$unsorted)) % 35.24/35.47 (declare-const tptp.relation_type (-> $$unsorted $$unsorted $$unsorted)) % 35.24/35.47 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 35.24/35.47 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 35.24/35.47 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.24/35.47 (declare-const tptp.set_type $$unsorted) % 35.24/35.47 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 35.24/35.47 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.24/35.47 (declare-const tptp.binary_relation_type $$unsorted) % 35.24/35.47 (declare-const tptp.ilf_type (-> $$unsorted $$unsorted Bool)) % 35.24/35.47 (declare-const tptp.inverse2 (-> $$unsorted $$unsorted $$unsorted)) % 35.24/35.47 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.24/35.47 (declare-const tptp.inverse4 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.24/35.47 (declare-const tptp.image4 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.24/35.47 (define @t1 () (@var "B" $$unsorted)) % 35.24/35.47 (define @t2 () (tptp.range_of @t1)) % 35.24/35.47 (define @t3 () (tptp.domain_of @t1)) % 35.24/35.47 (define @t4 () (= (tptp.image @t1 @t3) @t2)) % 35.24/35.47 (define @t5 () (tptp.ilf_type @t1 tptp.binary_relation_type)) % 35.24/35.47 (define @t6 () (@list @t1)) % 35.24/35.47 (define @t7 () (forall @t6 (=> @t5 @t4))) % 35.24/35.47 (define @t8 () (tptp.inverse2 @t1 @t2)) % 35.24/35.47 (define @t9 () (=> @t5 (= @t8 @t3))) % 35.24/35.47 (define @t10 () (forall @t6 @t9)) % 35.24/35.47 (define @t11 () (@var "D" $$unsorted)) % 35.24/35.47 (define @t12 () (@var "C" $$unsorted)) % 35.24/35.47 (define @t13 () (tptp.domain @t1 @t12 @t11)) % 35.24/35.47 (define @t14 () (tptp.range @t1 @t12 @t11)) % 35.24/35.47 (define @t15 () (and (= (tptp.image4 @t1 @t12 @t11 @t1) @t14) (= (tptp.inverse4 @t1 @t12 @t11 @t12) @t13))) % 35.24/35.47 (define @t16 () (tptp.relation_type @t1 @t12)) % 35.24/35.47 (define @t17 () (tptp.ilf_type @t11 @t16)) % 35.24/35.47 (define @t18 () (@list @t11)) % 35.24/35.47 (define @t19 () (forall @t18 (=> @t17 @t15))) % 35.24/35.47 (define @t20 () (tptp.ilf_type @t12 tptp.set_type)) % 35.24/35.47 (define @t21 () (=> @t20 @t19)) % 35.24/35.47 (define @t22 () (@list @t12)) % 35.24/35.47 (define @t23 () (forall @t22 @t21)) % 35.24/35.47 (define @t24 () (tptp.ilf_type @t1 tptp.set_type)) % 35.24/35.47 (define @t25 () (=> @t24 @t23)) % 35.24/35.47 (define @t26 () (forall @t6 @t25)) % 35.24/35.47 (define @t27 () (tptp.cross_product @t1 @t12)) % 35.24/35.47 (define @t28 () (tptp.subset_type @t27)) % 35.24/35.47 (define @t29 () (@var "E" $$unsorted)) % 35.24/35.47 (define @t30 () (tptp.ilf_type @t29 @t28)) % 35.24/35.47 (define @t31 () (tptp.ilf_type @t29 @t16)) % 35.24/35.47 (define @t32 () (@list @t29)) % 35.24/35.47 (define @t33 () (forall @t32 (=> @t31 @t30))) % 35.24/35.47 (define @t34 () (tptp.ilf_type @t11 @t28)) % 35.24/35.47 (define @t35 () (forall @t18 (=> @t34 @t17))) % 35.24/35.47 (define @t36 () (and @t35 @t33)) % 35.24/35.47 (define @t37 () (=> @t20 @t36)) % 35.24/35.47 (define @t38 () (forall @t22 @t37)) % 35.24/35.47 (define @t39 () (=> @t24 @t38)) % 35.24/35.47 (define @t40 () (forall @t6 @t39)) % 35.24/35.47 (define @t41 () (tptp.relation_type @t12 @t1)) % 35.24/35.47 (define @t42 () (tptp.ilf_type @t11 @t41)) % 35.24/35.47 (define @t43 () (tptp.subset @t1 @t12)) % 35.24/35.47 (define @t44 () (tptp.relation_like @t1)) % 35.24/35.47 (define @t45 () (= @t5 (and @t44 @t24))) % 35.24/35.47 (define @t46 () (forall @t6 (=> @t24 @t45))) % 35.24/35.47 (define @t47 () (tptp.power_set @t1)) % 35.24/35.47 (define @t48 () (tptp.subset_type @t1)) % 35.24/35.47 (define @t49 () (tptp.ilf_type @t12 @t48)) % 35.24/35.47 (define @t50 () (tptp.ilf_type @t11 tptp.set_type)) % 35.24/35.47 (define @t51 () (forall @t18 (=> @t50 (=> (tptp.member @t11 @t1) (tptp.member @t11 @t12))))) % 35.24/35.47 (define @t52 () (tptp.empty @t1)) % 35.24/35.47 (define @t53 () (tptp.ilf_type @t29 tptp.set_type)) % 35.24/35.47 (define @t54 () (tptp.member @t12 @t1)) % 35.24/35.47 (define @t55 () (tptp.relation_like @t11)) % 35.24/35.47 (define @t56 () (forall @t18 (=> @t34 @t55))) % 35.24/35.47 (define @t57 () (=> @t20 @t56)) % 35.24/35.47 (define @t58 () (forall @t22 @t57)) % 35.24/35.47 (define @t59 () (=> @t24 @t58)) % 35.24/35.47 (define @t60 () (forall @t6 @t59)) % 35.24/35.47 (define @t61 () (= @t13 (tptp.domain_of @t11))) % 35.24/35.47 (define @t62 () (forall @t18 (=> @t17 @t61))) % 35.24/35.47 (define @t63 () (=> @t20 @t62)) % 35.24/35.47 (define @t64 () (forall @t22 @t63)) % 35.24/35.47 (define @t65 () (=> @t24 @t64)) % 35.24/35.47 (define @t66 () (forall @t6 @t65)) % 35.24/35.47 (define @t67 () (= @t14 (tptp.range_of @t11))) % 35.24/35.47 (define @t68 () (forall @t18 (=> @t17 @t67))) % 35.24/35.47 (define @t69 () (=> @t20 @t68)) % 35.24/35.47 (define @t70 () (forall @t22 @t69)) % 35.24/35.47 (define @t71 () (=> @t24 @t70)) % 35.24/35.47 (define @t72 () (forall @t6 @t71)) % 35.24/35.47 (define @t73 () (tptp.subset_type @t12)) % 35.24/35.47 (define @t74 () (tptp.image4 @t1 @t12 @t11 @t29)) % 35.24/35.47 (define @t75 () (= @t74 (tptp.image @t11 @t29))) % 35.24/35.47 (define @t76 () (forall @t32 (=> @t53 @t75))) % 35.24/35.47 (define @t77 () (=> @t17 @t76)) % 35.24/35.47 (define @t78 () (forall @t18 @t77)) % 35.24/35.47 (define @t79 () (=> @t20 @t78)) % 35.24/35.47 (define @t80 () (forall @t22 @t79)) % 35.24/35.47 (define @t81 () (=> @t24 @t80)) % 35.24/35.47 (define @t82 () (forall @t6 @t81)) % 35.24/35.47 (define @t83 () (tptp.inverse4 @t1 @t12 @t11 @t29)) % 35.24/35.47 (define @t84 () (= @t83 (tptp.inverse2 @t11 @t29))) % 35.24/35.47 (define @t85 () (forall @t32 (=> @t53 @t84))) % 35.24/35.47 (define @t86 () (=> @t17 @t85)) % 35.24/35.47 (define @t87 () (forall @t18 @t86)) % 35.24/35.47 (define @t88 () (=> @t20 @t87)) % 35.24/35.47 (define @t89 () (forall @t22 @t88)) % 35.24/35.47 (define @t90 () (=> @t24 @t89)) % 35.24/35.47 (define @t91 () (forall @t6 @t90)) % 35.24/35.47 (define @t92 () (and (= (tptp.image4 @t12 @t1 @t11 (tptp.inverse4 @t12 @t1 @t11 @t1)) (tptp.range @t12 @t1 @t11)) (= (tptp.inverse4 @t12 @t1 @t11 (tptp.image4 @t12 @t1 @t11 @t12)) (tptp.domain @t12 @t1 @t11)))) % 35.24/35.47 (define @t93 () (forall @t18 (=> @t42 @t92))) % 35.24/35.47 (define @t94 () (=> @t20 @t93)) % 35.24/35.47 (define @t95 () (forall @t22 @t94)) % 35.24/35.47 (define @t96 () (=> @t24 @t95)) % 35.24/35.47 (define @t97 () (forall @t6 @t96)) % 35.24/35.47 (define @t98 () (not @t97)) % 35.24/35.47 (define @t99 () (@var "BOUND_VARIABLE_8214" $$unsorted)) % 35.24/35.47 (define @t100 () (@var "BOUND_VARIABLE_8212" $$unsorted)) % 35.24/35.47 (define @t101 () (= (tptp.domain @t1 @t100 @t99) (tptp.domain_of @t99))) % 35.24/35.47 (define @t102 () (not (tptp.ilf_type @t99 (tptp.relation_type @t1 @t100)))) % 35.24/35.47 (define @t103 () (not (tptp.ilf_type @t100 tptp.set_type))) % 35.24/35.47 (define @t104 () (not @t24)) % 35.24/35.47 (define @t105 () (or @t103 @t102 @t101)) % 35.24/35.47 (define @t106 () (or @t104 @t105)) % 35.24/35.47 (define @t107 () (forall (@list @t1 @t100 @t99) @t106)) % 35.24/35.47 (define @t108 () (@list @t100 @t99)) % 35.24/35.47 (define @t109 () (forall @t108 @t106)) % 35.24/35.47 (define @t110 () (forall @t108 @t105)) % 35.24/35.47 (define @t111 () (@var "BOUND_VARIABLE_8195" $$unsorted)) % 35.24/35.47 (define @t112 () (or @t104 @t110)) % 35.24/35.47 (define @t113 () (= (tptp.domain @t1 @t12 @t111) (tptp.domain_of @t111))) % 35.24/35.47 (define @t114 () (not (tptp.ilf_type @t111 @t16))) % 35.24/35.47 (define @t115 () (not @t20)) % 35.24/35.47 (define @t116 () (or @t115 @t114 @t113)) % 35.24/35.47 (define @t117 () (@list @t12 @t111)) % 35.24/35.47 (define @t118 () (forall @t117 @t116)) % 35.24/35.47 (define @t119 () (or @t114 @t113)) % 35.24/35.47 (define @t120 () (or @t115 @t119)) % 35.24/35.47 (define @t121 () (forall @t117 @t120)) % 35.24/35.47 (define @t122 () (@list @t111)) % 35.24/35.47 (define @t123 () (forall @t122 @t120)) % 35.24/35.47 (define @t124 () (forall @t122 @t119)) % 35.24/35.47 (define @t125 () (@list @t11)) % 35.24/35.47 (define @t126 () (or @t115 @t124)) % 35.24/35.47 (define @t127 () (not @t17)) % 35.24/35.47 (define @t128 () (forall @t18 (or @t127 @t61))) % 35.24/35.47 (define @t129 () (@var "BOUND_VARIABLE_8648" $$unsorted)) % 35.24/35.47 (define @t130 () (@var "BOUND_VARIABLE_8646" $$unsorted)) % 35.24/35.47 (define @t131 () (and (= (tptp.image4 @t130 @t1 @t129 (tptp.inverse4 @t130 @t1 @t129 @t1)) (tptp.range @t130 @t1 @t129)) (= (tptp.inverse4 @t130 @t1 @t129 (tptp.image4 @t130 @t1 @t129 @t130)) (tptp.domain @t130 @t1 @t129)))) % 35.24/35.47 (define @t132 () (not (tptp.ilf_type @t129 (tptp.relation_type @t130 @t1)))) % 35.24/35.47 (define @t133 () (not (tptp.ilf_type @t130 tptp.set_type))) % 35.24/35.47 (define @t134 () (or @t104 @t133 @t132 @t131)) % 35.24/35.47 (define @t135 () (@list @t1 @t130 @t129)) % 35.24/35.47 (define @t136 () (forall @t135 @t134)) % 35.24/35.47 (define @t137 () (@quantifiers_skolemize @t136 2)) % 35.24/35.47 (define @t138 () (@quantifiers_skolemize @t136 0)) % 35.24/35.47 (define @t139 () (@quantifiers_skolemize @t136 1)) % 35.24/35.47 (define @t140 () (@list @t139 @t138 @t137)) % 35.24/35.47 (define @t141 () (or @t133 @t132 @t131)) % 35.24/35.47 (define @t142 () (or @t104 @t141)) % 35.24/35.47 (define @t143 () (forall @t135 @t142)) % 35.24/35.47 (define @t144 () (@list @t130 @t129)) % 35.24/35.47 (define @t145 () (forall @t144 @t142)) % 35.24/35.47 (define @t146 () (forall @t144 @t141)) % 35.24/35.47 (define @t147 () (@var "BOUND_VARIABLE_8623" $$unsorted)) % 35.24/35.47 (define @t148 () (or @t104 @t146)) % 35.24/35.47 (define @t149 () (and (= (tptp.image4 @t12 @t1 @t147 (tptp.inverse4 @t12 @t1 @t147 @t1)) (tptp.range @t12 @t1 @t147)) (= (tptp.inverse4 @t12 @t1 @t147 (tptp.image4 @t12 @t1 @t147 @t12)) (tptp.domain @t12 @t1 @t147)))) % 35.24/35.47 (define @t150 () (not (tptp.ilf_type @t147 @t41))) % 35.24/35.47 (define @t151 () (or @t115 @t150 @t149)) % 35.24/35.47 (define @t152 () (@list @t12 @t147)) % 35.24/35.47 (define @t153 () (forall @t152 @t151)) % 35.24/35.47 (define @t154 () (or @t150 @t149)) % 35.24/35.47 (define @t155 () (or @t115 @t154)) % 35.24/35.47 (define @t156 () (forall @t152 @t155)) % 35.24/35.47 (define @t157 () (@list @t147)) % 35.24/35.47 (define @t158 () (forall @t157 @t155)) % 35.24/35.47 (define @t159 () (forall @t157 @t154)) % 35.24/35.47 (define @t160 () (or @t115 @t159)) % 35.24/35.47 (define @t161 () (forall @t18 (or (not @t42) @t92))) % 35.24/35.47 (define @t162 () (tptp.ilf_type @t137 (tptp.relation_type @t139 @t138))) % 35.24/35.47 (define @t163 () (tptp.domain @t139 @t138 @t137)) % 35.24/35.47 (define @t164 () (tptp.image4 @t139 @t138 @t137 @t139)) % 35.24/35.47 (define @t165 () (= (tptp.inverse4 @t139 @t138 @t137 @t164) @t163)) % 35.24/35.47 (define @t166 () (tptp.range @t139 @t138 @t137)) % 35.24/35.47 (define @t167 () (tptp.inverse4 @t139 @t138 @t137 @t138)) % 35.24/35.47 (define @t168 () (tptp.image4 @t139 @t138 @t137 @t167)) % 35.24/35.47 (define @t169 () (= @t168 @t166)) % 35.24/35.47 (define @t170 () (and @t169 @t165)) % 35.24/35.47 (define @t171 () (not @t162)) % 35.24/35.47 (define @t172 () (tptp.ilf_type @t139 tptp.set_type)) % 35.24/35.47 (define @t173 () (not @t172)) % 35.24/35.47 (define @t174 () (tptp.ilf_type @t138 tptp.set_type)) % 35.24/35.47 (define @t175 () (not @t174)) % 35.24/35.47 (define @t176 () (or @t175 @t173 @t171 @t170)) % 35.24/35.47 (define @t177 () (@list true)) % 35.24/35.47 (define @t178 () (@list @t176)) % 35.24/35.47 (define @t179 () (tptp.domain_of @t137)) % 35.24/35.47 (define @t180 () (= @t163 @t179)) % 35.24/35.47 (define @t181 () (or @t173 @t175 @t171 @t180)) % 35.24/35.47 (define @t182 () (@list false false false false)) % 35.24/35.47 (define @t183 () (@var "BOUND_VARIABLE_8296" $$unsorted)) % 35.24/35.47 (define @t184 () (@var "BOUND_VARIABLE_8294" $$unsorted)) % 35.24/35.47 (define @t185 () (= (tptp.range @t1 @t184 @t183) (tptp.range_of @t183))) % 35.24/35.47 (define @t186 () (not (tptp.ilf_type @t183 (tptp.relation_type @t1 @t184)))) % 35.24/35.47 (define @t187 () (not (tptp.ilf_type @t184 tptp.set_type))) % 35.24/35.47 (define @t188 () (or @t187 @t186 @t185)) % 35.24/35.47 (define @t189 () (or @t104 @t188)) % 35.24/35.47 (define @t190 () (forall (@list @t1 @t184 @t183) @t189)) % 35.24/35.47 (define @t191 () (@list @t184 @t183)) % 35.24/35.47 (define @t192 () (forall @t191 @t189)) % 35.24/35.47 (define @t193 () (forall @t191 @t188)) % 35.24/35.47 (define @t194 () (@var "BOUND_VARIABLE_8277" $$unsorted)) % 35.24/35.47 (define @t195 () (or @t104 @t193)) % 35.24/35.47 (define @t196 () (= (tptp.range @t1 @t12 @t194) (tptp.range_of @t194))) % 35.24/35.47 (define @t197 () (not (tptp.ilf_type @t194 @t16))) % 35.24/35.47 (define @t198 () (or @t115 @t197 @t196)) % 35.24/35.47 (define @t199 () (@list @t12 @t194)) % 35.24/35.47 (define @t200 () (forall @t199 @t198)) % 35.24/35.47 (define @t201 () (or @t197 @t196)) % 35.24/35.47 (define @t202 () (or @t115 @t201)) % 35.24/35.47 (define @t203 () (forall @t199 @t202)) % 35.24/35.47 (define @t204 () (@list @t194)) % 35.24/35.47 (define @t205 () (forall @t204 @t202)) % 35.24/35.47 (define @t206 () (forall @t204 @t201)) % 35.24/35.47 (define @t207 () (or @t115 @t206)) % 35.24/35.47 (define @t208 () (forall @t18 (or @t127 @t67))) % 35.24/35.47 (define @t209 () (tptp.range_of @t137)) % 35.24/35.47 (define @t210 () (= @t166 @t209)) % 35.24/35.47 (define @t211 () (or @t173 @t175 @t171 @t210)) % 35.24/35.47 (define @t212 () (@var "BOUND_VARIABLE_7754" $$unsorted)) % 35.24/35.47 (define @t213 () (@var "BOUND_VARIABLE_7752" $$unsorted)) % 35.24/35.47 (define @t214 () (and (= (tptp.image4 @t1 @t213 @t212 @t1) (tptp.range @t1 @t213 @t212)) (= (tptp.inverse4 @t1 @t213 @t212 @t213) (tptp.domain @t1 @t213 @t212)))) % 35.24/35.47 (define @t215 () (not (tptp.ilf_type @t212 (tptp.relation_type @t1 @t213)))) % 35.24/35.47 (define @t216 () (not (tptp.ilf_type @t213 tptp.set_type))) % 35.24/35.47 (define @t217 () (or @t104 @t216 @t215 @t214)) % 35.24/35.47 (define @t218 () (or @t216 @t215 @t214)) % 35.24/35.47 (define @t219 () (or @t104 @t218)) % 35.24/35.47 (define @t220 () (@list @t1 @t213 @t212)) % 35.24/35.47 (define @t221 () (forall @t220 @t219)) % 35.24/35.47 (define @t222 () (@list @t213 @t212)) % 35.24/35.47 (define @t223 () (forall @t222 @t219)) % 35.24/35.47 (define @t224 () (forall @t222 @t218)) % 35.24/35.47 (define @t225 () (@var "BOUND_VARIABLE_7730" $$unsorted)) % 35.24/35.47 (define @t226 () (or @t104 @t224)) % 35.24/35.47 (define @t227 () (and (= (tptp.image4 @t1 @t12 @t225 @t1) (tptp.range @t1 @t12 @t225)) (= (tptp.inverse4 @t1 @t12 @t225 @t12) (tptp.domain @t1 @t12 @t225)))) % 35.24/35.47 (define @t228 () (not (tptp.ilf_type @t225 @t16))) % 35.24/35.47 (define @t229 () (or @t115 @t228 @t227)) % 35.24/35.47 (define @t230 () (@list @t12 @t225)) % 35.24/35.47 (define @t231 () (forall @t230 @t229)) % 35.24/35.47 (define @t232 () (or @t228 @t227)) % 35.24/35.47 (define @t233 () (or @t115 @t232)) % 35.24/35.47 (define @t234 () (forall @t230 @t233)) % 35.24/35.47 (define @t235 () (@list @t225)) % 35.24/35.47 (define @t236 () (forall @t235 @t233)) % 35.24/35.47 (define @t237 () (forall @t235 @t232)) % 35.24/35.47 (define @t238 () (or @t115 @t237)) % 35.24/35.47 (define @t239 () (forall @t18 (or @t127 @t15))) % 35.24/35.47 (define @t240 () (= @t167 @t163)) % 35.24/35.47 (define @t241 () (and (= @t164 @t166) @t240)) % 35.24/35.47 (define @t242 () (or @t173 @t175 @t171 @t241)) % 35.24/35.47 (define @t243 () (forall @t220 @t217)) % 35.24/35.47 (define @t244 () (= @t166 @t164)) % 35.24/35.47 (define @t245 () (and @t244 @t240)) % 35.24/35.47 (define @t246 () (or @t173 @t175 @t171 @t245)) % 35.24/35.47 (define @t247 () (@list false)) % 35.24/35.47 (define @t248 () (not @t245)) % 35.24/35.47 (define @t249 () (@list @t245)) % 35.24/35.47 (define @t250 () (= @t3 @t8)) % 35.24/35.47 (define @t251 () (@list @t137)) % 35.24/35.47 (define @t252 () (tptp.ilf_type @t137 tptp.set_type)) % 35.24/35.47 (define @t253 () (tptp.relation_like @t137)) % 35.24/35.47 (define @t254 () (and @t253 @t252)) % 35.24/35.47 (define @t255 () (tptp.ilf_type @t137 tptp.binary_relation_type)) % 35.24/35.47 (define @t256 () (= @t255 @t254)) % 35.24/35.47 (define @t257 () (not @t252)) % 35.24/35.47 (define @t258 () (or @t257 @t256)) % 35.24/35.47 (define @t259 () (@list false false)) % 35.24/35.47 (define @t260 () (@var "BOUND_VARIABLE_8141" $$unsorted)) % 35.24/35.47 (define @t261 () (tptp.relation_like @t260)) % 35.24/35.47 (define @t262 () (@var "BOUND_VARIABLE_8139" $$unsorted)) % 35.24/35.47 (define @t263 () (not (tptp.ilf_type @t260 (tptp.subset_type (tptp.cross_product @t1 @t262))))) % 35.24/35.47 (define @t264 () (not (tptp.ilf_type @t262 tptp.set_type))) % 35.24/35.47 (define @t265 () (or @t264 @t263 @t261)) % 35.24/35.47 (define @t266 () (or @t104 @t265)) % 35.24/35.47 (define @t267 () (forall (@list @t1 @t262 @t260) @t266)) % 35.24/35.47 (define @t268 () (@list @t262 @t260)) % 35.24/35.47 (define @t269 () (forall @t268 @t266)) % 35.24/35.47 (define @t270 () (forall @t268 @t265)) % 35.24/35.47 (define @t271 () (@var "BOUND_VARIABLE_8124" $$unsorted)) % 35.24/35.47 (define @t272 () (or @t104 @t270)) % 35.24/35.47 (define @t273 () (tptp.relation_like @t271)) % 35.24/35.47 (define @t274 () (not (tptp.ilf_type @t271 @t28))) % 35.24/35.47 (define @t275 () (or @t115 @t274 @t273)) % 35.24/35.47 (define @t276 () (@list @t12 @t271)) % 35.24/35.47 (define @t277 () (forall @t276 @t275)) % 35.24/35.47 (define @t278 () (or @t274 @t273)) % 35.24/35.47 (define @t279 () (or @t115 @t278)) % 35.24/35.47 (define @t280 () (forall @t276 @t279)) % 35.24/35.47 (define @t281 () (@list @t271)) % 35.24/35.47 (define @t282 () (forall @t281 @t279)) % 35.24/35.47 (define @t283 () (forall @t281 @t278)) % 35.24/35.47 (define @t284 () (or @t115 @t283)) % 35.24/35.47 (define @t285 () (not @t34)) % 35.24/35.47 (define @t286 () (forall @t18 (or @t285 @t55))) % 35.24/35.47 (define @t287 () (@var "BOUND_VARIABLE_7806" $$unsorted)) % 35.24/35.47 (define @t288 () (tptp.subset_type (tptp.cross_product @t1 @t287))) % 35.24/35.47 (define @t289 () (@var "BOUND_VARIABLE_7810" $$unsorted)) % 35.24/35.47 (define @t290 () (tptp.relation_type @t1 @t287)) % 35.24/35.47 (define @t291 () (@var "BOUND_VARIABLE_7808" $$unsorted)) % 35.24/35.47 (define @t292 () (and (or (not (tptp.ilf_type @t291 @t288)) (tptp.ilf_type @t291 @t290)) (or (not (tptp.ilf_type @t289 @t290)) (tptp.ilf_type @t289 @t288)))) % 35.24/35.47 (define @t293 () (not (tptp.ilf_type @t287 tptp.set_type))) % 35.24/35.47 (define @t294 () (or @t293 @t292)) % 35.24/35.47 (define @t295 () (or @t104 @t294)) % 35.24/35.47 (define @t296 () (forall (@list @t1 @t287 @t291 @t289) @t295)) % 35.24/35.47 (define @t297 () (@list @t287 @t291 @t289)) % 35.24/35.47 (define @t298 () (forall @t297 @t295)) % 35.24/35.47 (define @t299 () (forall @t297 @t294)) % 35.24/35.47 (define @t300 () (@var "BOUND_VARIABLE_7792" $$unsorted)) % 35.24/35.47 (define @t301 () (@var "BOUND_VARIABLE_7786" $$unsorted)) % 35.24/35.47 (define @t302 () (or @t104 @t299)) % 35.24/35.47 (define @t303 () (or (not (tptp.ilf_type @t300 @t16)) (tptp.ilf_type @t300 @t28))) % 35.24/35.47 (define @t304 () (or (not (tptp.ilf_type @t301 @t28)) (tptp.ilf_type @t301 @t16))) % 35.24/35.47 (define @t305 () (and @t304 @t303)) % 35.24/35.47 (define @t306 () (or @t115 @t305)) % 35.24/35.47 (define @t307 () (forall (@list @t12 @t301 @t300) @t306)) % 35.24/35.47 (define @t308 () (@list @t301 @t300)) % 35.24/35.47 (define @t309 () (forall @t308 @t306)) % 35.24/35.47 (define @t310 () (forall (@list @t300) @t303)) % 35.24/35.47 (define @t311 () (@list @t29)) % 35.24/35.47 (define @t312 () (forall @t308 @t303)) % 35.24/35.47 (define @t313 () (forall (@list @t301) @t304)) % 35.24/35.47 (define @t314 () (forall @t308 @t304)) % 35.24/35.47 (define @t315 () (and @t314 @t312)) % 35.24/35.47 (define @t316 () (forall @t308 @t305)) % 35.24/35.47 (define @t317 () (or @t115 @t316)) % 35.24/35.47 (define @t318 () (and (forall @t18 (or @t285 @t17)) (forall @t32 (or (not @t31) @t30)))) % 35.24/35.47 (define @t319 () (tptp.ilf_type @t137 (tptp.subset_type (tptp.cross_product @t139 @t138)))) % 35.24/35.47 (define @t320 () (or @t171 @t319)) % 35.24/35.47 (define @t321 () (not @t319)) % 35.24/35.47 (define @t322 () (and (or @t321 @t162) @t320)) % 35.24/35.47 (define @t323 () (or @t173 @t175 @t322)) % 35.24/35.47 (define @t324 () (or @t173 @t175 @t321 @t253)) % 35.24/35.47 (define @t325 () (= @t179 (tptp.inverse2 @t137 @t209))) % 35.24/35.47 (define @t326 () (not @t255)) % 35.24/35.47 (define @t327 () (or @t326 @t325)) % 35.24/35.47 (define @t328 () (tptp.image @t137 @t179)) % 35.24/35.47 (define @t329 () (or @t326 (= @t328 @t209))) % 35.24/35.47 (define @t330 () (forall @t6 (or (not @t5) @t4))) % 35.24/35.47 (define @t331 () (= @t209 @t328)) % 35.24/35.47 (define @t332 () (or @t326 @t331)) % 35.24/35.47 (define @t333 () (tptp.image @t137 @t167)) % 35.24/35.47 (define @t334 () (@var "BOUND_VARIABLE_8402" $$unsorted)) % 35.24/35.47 (define @t335 () (@var "BOUND_VARIABLE_8400" $$unsorted)) % 35.24/35.47 (define @t336 () (@var "BOUND_VARIABLE_8398" $$unsorted)) % 35.24/35.47 (define @t337 () (= (tptp.image4 @t1 @t336 @t335 @t334) (tptp.image @t335 @t334))) % 35.24/35.47 (define @t338 () (not (tptp.ilf_type @t334 tptp.set_type))) % 35.24/35.47 (define @t339 () (not (tptp.ilf_type @t335 (tptp.relation_type @t1 @t336)))) % 35.24/35.47 (define @t340 () (not (tptp.ilf_type @t336 tptp.set_type))) % 35.24/35.47 (define @t341 () (or @t340 @t339 @t338 @t337)) % 35.24/35.47 (define @t342 () (or @t104 @t341)) % 35.24/35.47 (define @t343 () (forall (@list @t1 @t336 @t335 @t334) @t342)) % 35.24/35.47 (define @t344 () (@list @t336 @t335 @t334)) % 35.24/35.47 (define @t345 () (forall @t344 @t342)) % 35.24/35.47 (define @t346 () (forall @t344 @t341)) % 35.24/35.47 (define @t347 () (@var "BOUND_VARIABLE_8379" $$unsorted)) % 35.24/35.47 (define @t348 () (@var "BOUND_VARIABLE_8377" $$unsorted)) % 35.24/35.47 (define @t349 () (or @t104 @t346)) % 35.24/35.47 (define @t350 () (= (tptp.image4 @t1 @t12 @t348 @t347) (tptp.image @t348 @t347))) % 35.24/35.47 (define @t351 () (not (tptp.ilf_type @t347 tptp.set_type))) % 35.24/35.47 (define @t352 () (not (tptp.ilf_type @t348 @t16))) % 35.24/35.47 (define @t353 () (or @t115 @t352 @t351 @t350)) % 35.24/35.47 (define @t354 () (@list @t12 @t348 @t347)) % 35.24/35.47 (define @t355 () (forall @t354 @t353)) % 35.24/35.47 (define @t356 () (or @t352 @t351 @t350)) % 35.24/35.47 (define @t357 () (or @t115 @t356)) % 35.24/35.47 (define @t358 () (forall @t354 @t357)) % 35.24/35.47 (define @t359 () (@list @t348 @t347)) % 35.24/35.47 (define @t360 () (forall @t359 @t357)) % 35.24/35.47 (define @t361 () (forall @t359 @t356)) % 35.24/35.47 (define @t362 () (@var "BOUND_VARIABLE_8360" $$unsorted)) % 35.24/35.47 (define @t363 () (or @t115 @t361)) % 35.24/35.47 (define @t364 () (= (tptp.image4 @t1 @t12 @t11 @t362) (tptp.image @t11 @t362))) % 35.24/35.47 (define @t365 () (not (tptp.ilf_type @t362 tptp.set_type))) % 35.24/35.47 (define @t366 () (or @t127 @t365 @t364)) % 35.24/35.47 (define @t367 () (@list @t11 @t362)) % 35.24/35.47 (define @t368 () (forall @t367 @t366)) % 35.24/35.47 (define @t369 () (or @t365 @t364)) % 35.24/35.47 (define @t370 () (or @t127 @t369)) % 35.24/35.47 (define @t371 () (forall @t367 @t370)) % 35.24/35.47 (define @t372 () (@list @t362)) % 35.24/35.47 (define @t373 () (forall @t372 @t370)) % 35.24/35.47 (define @t374 () (forall @t372 @t369)) % 35.24/35.47 (define @t375 () (or @t127 @t374)) % 35.24/35.47 (define @t376 () (not @t53)) % 35.24/35.47 (define @t377 () (forall @t32 (or @t376 @t75))) % 35.24/35.47 (define @t378 () (= @t168 @t333)) % 35.24/35.47 (define @t379 () (tptp.ilf_type @t167 tptp.set_type)) % 35.24/35.47 (define @t380 () (not @t379)) % 35.24/35.47 (define @t381 () (or @t173 @t175 @t171 @t380 @t378)) % 35.24/35.47 (define @t382 () (@list false false false false false)) % 35.24/35.47 (define @t383 () (not @t165)) % 35.24/35.47 (define @t384 () (@var "BOUND_VARIABLE_8534" $$unsorted)) % 35.24/35.47 (define @t385 () (@var "BOUND_VARIABLE_8532" $$unsorted)) % 35.24/35.47 (define @t386 () (@var "BOUND_VARIABLE_8530" $$unsorted)) % 35.24/35.47 (define @t387 () (= (tptp.inverse4 @t1 @t386 @t385 @t384) (tptp.inverse2 @t385 @t384))) % 35.24/35.47 (define @t388 () (not (tptp.ilf_type @t384 tptp.set_type))) % 35.24/35.47 (define @t389 () (not (tptp.ilf_type @t385 (tptp.relation_type @t1 @t386)))) % 35.24/35.47 (define @t390 () (not (tptp.ilf_type @t386 tptp.set_type))) % 35.24/35.47 (define @t391 () (or @t104 @t390 @t389 @t388 @t387)) % 35.24/35.47 (define @t392 () (or @t390 @t389 @t388 @t387)) % 35.24/35.47 (define @t393 () (or @t104 @t392)) % 35.24/35.47 (define @t394 () (@list @t1 @t386 @t385 @t384)) % 35.24/35.47 (define @t395 () (forall @t394 @t393)) % 35.24/35.47 (define @t396 () (@list @t386 @t385 @t384)) % 35.24/35.47 (define @t397 () (forall @t396 @t393)) % 35.24/35.47 (define @t398 () (forall @t396 @t392)) % 35.24/35.47 (define @t399 () (@var "BOUND_VARIABLE_8511" $$unsorted)) % 35.24/35.47 (define @t400 () (@var "BOUND_VARIABLE_8509" $$unsorted)) % 35.24/35.47 (define @t401 () (or @t104 @t398)) % 35.24/35.47 (define @t402 () (= (tptp.inverse4 @t1 @t12 @t400 @t399) (tptp.inverse2 @t400 @t399))) % 35.24/35.47 (define @t403 () (not (tptp.ilf_type @t399 tptp.set_type))) % 35.24/35.47 (define @t404 () (not (tptp.ilf_type @t400 @t16))) % 35.24/35.47 (define @t405 () (or @t115 @t404 @t403 @t402)) % 35.24/35.47 (define @t406 () (@list @t12 @t400 @t399)) % 35.24/35.47 (define @t407 () (forall @t406 @t405)) % 35.24/35.47 (define @t408 () (or @t404 @t403 @t402)) % 35.24/35.47 (define @t409 () (or @t115 @t408)) % 35.24/35.47 (define @t410 () (forall @t406 @t409)) % 35.24/35.47 (define @t411 () (@list @t400 @t399)) % 35.24/35.47 (define @t412 () (forall @t411 @t409)) % 35.24/35.47 (define @t413 () (forall @t411 @t408)) % 35.24/35.47 (define @t414 () (@var "BOUND_VARIABLE_8492" $$unsorted)) % 35.24/35.47 (define @t415 () (or @t115 @t413)) % 35.24/35.47 (define @t416 () (= (tptp.inverse4 @t1 @t12 @t11 @t414) (tptp.inverse2 @t11 @t414))) % 35.24/35.47 (define @t417 () (not (tptp.ilf_type @t414 tptp.set_type))) % 35.24/35.47 (define @t418 () (or @t127 @t417 @t416)) % 35.24/35.47 (define @t419 () (@list @t11 @t414)) % 35.24/35.47 (define @t420 () (forall @t419 @t418)) % 35.24/35.47 (define @t421 () (or @t417 @t416)) % 35.24/35.47 (define @t422 () (or @t127 @t421)) % 35.24/35.47 (define @t423 () (forall @t419 @t422)) % 35.24/35.47 (define @t424 () (@list @t414)) % 35.24/35.47 (define @t425 () (forall @t424 @t422)) % 35.24/35.47 (define @t426 () (forall @t424 @t421)) % 35.24/35.47 (define @t427 () (or @t127 @t426)) % 35.24/35.47 (define @t428 () (forall @t32 (or @t376 @t84))) % 35.24/35.47 (define @t429 () (tptp.inverse4 @t139 @t138 @t137 @t166)) % 35.24/35.47 (define @t430 () (tptp.inverse2 @t137 @t166)) % 35.24/35.47 (define @t431 () (tptp.ilf_type @t166 tptp.set_type)) % 35.24/35.47 (define @t432 () (not @t431)) % 35.24/35.47 (define @t433 () (= @t429 @t430)) % 35.24/35.47 (define @t434 () (or @t173 @t175 @t171 @t432 @t433)) % 35.24/35.47 (define @t435 () (forall @t394 @t391)) % 35.24/35.47 (define @t436 () (= @t430 @t429)) % 35.24/35.47 (define @t437 () (or @t173 @t175 @t171 @t432 @t436)) % 35.24/35.47 (define @t438 () (not @t436)) % 35.24/35.47 (define @t439 () (not @t325)) % 35.24/35.47 (define @t440 () (not @t210)) % 35.24/35.47 (define @t441 () (not @t180)) % 35.24/35.47 (define @t442 () (not @t244)) % 35.24/35.47 (define @t443 () (not @t433)) % 35.24/35.47 (define @t444 () (and @t436 @t438)) % 35.24/35.47 (assume @p1 @t7) % 35.24/35.47 (assume @p2 @t10) % 35.24/35.47 (assume @p3 @t26) % 35.24/35.47 (assume @p4 @t40) % 35.24/35.47 (assume @p5 (forall @t6 (=> @t24 (forall @t22 (=> @t20 (exists @t18 @t42)))))) % 35.24/35.47 (assume @p6 (forall @t6 (=> @t24 (forall @t22 (=> @t20 (= (= @t1 @t12) (and @t43 (tptp.subset @t12 @t1)))))))) % 35.24/35.47 (assume @p7 (forall @t6 (=> @t5 (forall @t22 (=> @t20 (tptp.ilf_type (tptp.inverse2 @t1 @t12) tptp.set_type)))))) % 35.24/35.47 (assume @p8 (forall @t6 (=> @t5 (tptp.ilf_type @t3 tptp.set_type)))) % 35.24/35.47 (assume @p9 (forall @t6 (=> @t24 (forall @t22 (=> @t20 (tptp.ilf_type @t27 tptp.set_type)))))) % 35.24/35.47 (assume @p10 (forall @t6 (=> @t5 (tptp.ilf_type @t2 tptp.set_type)))) % 35.24/35.47 (assume @p11 (forall @t6 (=> @t5 (forall @t22 (=> @t20 (tptp.ilf_type (tptp.image @t1 @t12) tptp.set_type)))))) % 35.24/35.47 (assume @p12 @t46) % 35.24/35.47 (assume @p13 (exists @t6 @t5)) % 35.24/35.47 (assume @p14 (forall @t6 (=> @t24 (forall @t22 (=> @t20 (= @t49 (tptp.ilf_type @t12 (tptp.member_type @t47)))))))) % 35.24/35.47 (assume @p15 (forall @t6 (=> @t24 (exists @t22 @t49)))) % 35.24/35.47 (assume @p16 (forall @t6 (=> @t24 (forall @t22 (=> @t20 (= @t43 @t51)))))) % 35.24/35.47 (assume @p17 (forall @t6 (=> @t24 (tptp.subset @t1 @t1)))) % 35.24/35.47 (assume @p18 (forall @t6 (=> @t24 (forall @t22 (=> @t20 (= (tptp.member @t1 (tptp.power_set @t12)) @t51)))))) % 35.24/35.47 (assume @p19 (forall @t6 (=> @t24 (and (not (tptp.empty @t47)) (tptp.ilf_type @t47 tptp.set_type))))) % 35.24/35.47 (assume @p20 (forall @t6 (=> @t24 (forall @t22 (=> (and (not (tptp.empty @t12)) @t20) (= (tptp.ilf_type @t1 (tptp.member_type @t12)) (tptp.member @t1 @t12))))))) % 35.24/35.47 (assume @p21 (forall @t6 (=> (and (not @t52) @t24) (exists @t22 (tptp.ilf_type @t12 (tptp.member_type @t1)))))) % 35.24/35.47 (assume @p22 (forall @t6 (=> @t24 (= @t44 (forall @t22 (=> @t20 (=> @t54 (exists @t18 (and @t50 (exists @t32 (and @t53 (= @t12 (tptp.ordered_pair @t11 @t29))))))))))))) % 35.24/35.47 (assume @p23 @t60) % 35.24/35.47 (assume @p24 (forall @t6 (=> @t24 (forall @t22 (=> @t20 (tptp.ilf_type (tptp.ordered_pair @t1 @t12) tptp.set_type)))))) % 35.24/35.47 (assume @p25 (forall @t6 (=> @t24 (= @t52 (forall @t22 (=> @t20 (not @t54))))))) % 35.24/35.47 (assume @p26 (forall @t6 (=> (and @t52 @t24) @t44))) % 35.24/35.47 (assume @p27 @t66) % 35.24/35.47 (assume @p28 (forall @t6 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(step @p204 :rule cong :premises (@p203) :args ((forall @t22 (or @t115 @t239)))) % 35.24/35.48 (step @p205 :rule trans :premises (@p204 @p198)) % 35.24/35.48 (step @p206 :rule trans :premises (@p205 @p197)) % 35.24/35.48 (step @p207 :rule bool-impl-elim :args (@t20 @t239)) % 35.24/35.48 (step @p208 :rule cong :premises (@p207) :args ((forall @t22 (=> @t20 @t239)))) % 35.24/35.48 (step @p209 :rule trans :premises (@p208 @p206)) % 35.24/35.48 (step @p210 :rule bool-impl-elim :args (@t17 @t15)) % 35.24/35.48 (step @p211 :rule cong :premises (@p210) :args (@t19)) % 35.24/35.48 (step @p212 :rule cong :premises (@p70 @p211) :args (@t21)) % 35.24/35.48 (step @p213 :rule cong :premises (@p212) :args (@t23)) % 35.24/35.48 (step @p214 :rule trans :premises (@p213 @p209)) % 35.24/35.48 (step @p215 :rule cong :premises (@p74 @p214) :args (@t25)) % 35.24/35.48 (step @p216 :rule cong :premises (@p215) :args (@t26)) % 35.24/35.48 (step @p217 :rule trans :premises (@p216 @p195)) % 35.24/35.48 (step 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35.24/35.48 (step @p443 :rule trans :premises (@p442 @p402)) % 35.24/35.48 (step @p444 :rule eq_resolve :premises (@p31 @p443)) % 35.24/35.48 (step @p445 :rule instantiate :premises (@p444) :args ((@list @t139 @t138 @t137 @t167))) % 35.24/35.48 (step @p446 :rule instantiate :premises (@p35) :args ((@list @t167))) % 35.24/35.48 (step @p447 :rule cnf_or_pos :args (@t381)) % 35.24/35.48 (step @p448 :rule reordering :premises (@p447) :args ((or @t175 @t173 @t171 @t380 @t378 (not @t381)))) % 35.24/35.48 (step @p449 :rule chain_m_resolution :premises (@p448 @p137 @p131 @p125 @p446 @p445) :args (@t378 @t382 (@list @t174 @t172 @t162 @t379 @t381))) % 35.24/35.48 (step @p450 :rule trans :premises (@p449 @p388 @p382 @p363)) % 35.24/35.48 (step @p451 :rule cnf_or_neg :args (@t176 3)) % 35.24/35.48 (step @p452 :rule chain_m_resolution :premises (@p451 @p118) :args ((not @t170) @t177 @t178)) % 35.24/35.48 (step @p453 :rule cnf_and_neg :args (@t170)) % 35.24/35.48 (step @p454 :rule chain_m_resolution 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@p467 :rule cong :premises (@p466) :args ((forall @t6 (=> @t24 @t407)))) % 35.24/35.48 (step @p468 :rule trans :premises (@p467 @p465)) % 35.24/35.48 (step @p469 :rule aci_norm :args ((= @t409 @t405))) % 35.24/35.48 (step @p470 :rule cong :premises (@p469) :args (@t410)) % 35.24/35.48 (step @p471 :rule quant-merge-prenex :args ((= (forall @t22 @t412) @t410))) % 35.24/35.48 (step @p472 :rule alpha_equiv :args (@t413 (@list @t400 @t399) (@list @t11 @t414))) % 35.24/35.48 (step @p473 :rule nary_cong :premises (@p57 @p472) :args (@t415)) % 35.24/35.48 (step @p474 :rule quant-miniscope-or :args ((= @t412 @t415))) % 35.24/35.48 (step @p475 :rule trans :premises (@p474 @p473)) % 35.24/35.48 (step @p476 :rule symm :premises (@p475)) % 35.24/35.48 (step @p477 :rule cong :premises (@p476) :args ((forall @t22 (or @t115 @t420)))) % 35.24/35.48 (step @p478 :rule trans :premises (@p477 @p471)) % 35.24/35.48 (step @p479 :rule trans :premises (@p478 @p470)) % 35.24/35.48 (step @p480 :rule bool-impl-elim :args (@t20 @t420)) % 35.24/35.48 (step @p481 :rule cong :premises (@p480) :args ((forall @t22 (=> @t20 @t420)))) % 35.24/35.48 (step @p482 :rule trans :premises (@p481 @p479)) % 35.24/35.48 (step @p483 :rule aci_norm :args ((= @t422 @t418))) % 35.24/35.48 (step @p484 :rule cong :premises (@p483) :args (@t423)) % 35.24/35.48 (step @p485 :rule quant-merge-prenex :args ((= (forall @t18 @t425) @t423))) % 35.24/35.48 (step @p486 :rule alpha_equiv :args (@t426 (@list @t414) @t311)) % 35.24/35.48 (step @p487 :rule nary_cong :premises (@p421 @p486) :args (@t427)) % 35.24/35.48 (step @p488 :rule quant-miniscope-or :args ((= @t425 @t427))) % 35.24/35.48 (step @p489 :rule trans :premises (@p488 @p487)) % 35.24/35.48 (step @p490 :rule symm :premises (@p489)) % 35.24/35.48 (step @p491 :rule cong :premises (@p490) :args ((forall @t18 (or @t127 @t428)))) % 35.24/35.48 (step @p492 :rule trans :premises (@p491 @p485)) % 35.24/35.48 (step @p493 :rule trans :premises (@p492 @p484)) % 35.24/35.48 (step @p494 :rule bool-impl-elim :args (@t17 @t428)) % 35.24/35.48 (step @p495 :rule cong :premises (@p494) :args ((forall @t18 (=> @t17 @t428)))) % 35.24/35.48 (step @p496 :rule trans :premises (@p495 @p493)) % 35.24/35.48 (step @p497 :rule bool-impl-elim :args (@t53 @t84)) % 35.24/35.48 (step @p498 :rule cong :premises (@p497) :args (@t85)) % 35.24/35.48 (step @p499 :rule cong :premises (@p434 @p498) :args (@t86)) % 35.24/35.48 (step @p500 :rule cong :premises (@p499) :args (@t87)) % 35.24/35.48 (step @p501 :rule trans :premises (@p500 @p496)) % 35.24/35.48 (step @p502 :rule cong :premises (@p70 @p501) :args (@t88)) % 35.24/35.48 (step @p503 :rule cong :premises (@p502) :args (@t89)) % 35.24/35.48 (step @p504 :rule trans :premises (@p503 @p482)) % 35.24/35.48 (step @p505 :rule cong :premises (@p74 @p504) :args (@t90)) % 35.24/35.48 (step @p506 :rule cong :premises (@p505) :args (@t91)) % 35.24/35.48 (step @p507 :rule trans :premises (@p506 @p468)) % 35.24/35.48 (step @p508 :rule eq_resolve :premises (@p33 @p507)) % 35.24/35.48 (step @p509 :rule eq-symm :args (@t429 @t430)) % 35.24/35.48 (step @p510 :rule refl :args (@t432)) % 35.24/35.48 (step @p511 :rule nary_cong :premises (@p224 @p223 @p222 @p510 @p509) :args (@t434)) % 35.24/35.48 (step @p512 :rule refl :args (@t435)) % 35.24/35.48 (step @p513 :rule cong :premises (@p512 @p511) :args ((=> @t435 @t434))) % 35.24/35.48 (assume-push @p584 @t435) % 35.24/35.48 (step @p515 :rule instantiate :premises (@p508) :args ((@list @t139 @t138 @t137 @t166))) % 35.24/35.48 (step-pop @p585 :rule scope :premises (@p515)) % 35.24/35.48 (step @p516 :rule process_scope :premises (@p585) :args (@t434)) % 35.24/35.48 (step @p518 :rule eq_resolve :premises (@p516 @p513)) % 35.24/35.48 (step @p519 :rule implies_elim :premises (@p518)) % 35.24/35.48 (step @p520 :rule chain_m_resolution :premises (@p519 @p508) :args (@t437 @t247 (@list @t435))) % 35.24/35.48 (step @p521 :rule instantiate :premises (@p35) :args ((@list @t166))) % 35.24/35.48 (step @p522 :rule cnf_or_pos :args (@t437)) % 35.24/35.48 (step @p523 :rule reordering :premises (@p522) :args ((or @t175 @t173 @t171 @t432 @t436 (not @t437)))) % 35.24/35.48 (step @p524 :rule chain_m_resolution :premises (@p523 @p137 @p131 @p125 @p521 @p520) :args (@t436 @t382 (@list @t174 @t172 @t162 @t431 @t437))) % 35.24/35.48 (step @p525 :rule refl :args (@t438)) % 35.24/35.48 (step @p526 :rule refl :args (@t439)) % 35.24/35.48 (step @p527 :rule refl :args (@t440)) % 35.24/35.48 (step @p528 :rule refl :args (@t441)) % 35.24/35.48 (step @p529 :rule refl :args (@t442)) % 35.24/35.48 (step @p530 :rule bool-double-not-elim :args (@t165)) % 35.24/35.48 (step @p531 :rule nary_cong :premises (@p530 @p529 @p528 @p527 @p526 @p525) :args ((or (not @t383) @t442 @t441 @t440 @t439 @t438))) % 35.24/35.48 (assume-push @p586 @t436) % 35.24/35.48 (assume-push @p587 @t438) % 35.24/35.48 (step @p534 :rule evaluate :args ((= false true))) % 35.24/35.48 (step @p535 :rule true_intro :premises (@p524)) % 35.24/35.48 (step @p536 :rule bool-eq-false :args (@t436)) % 35.24/35.48 (step @p537 :rule symm :premises (@p536)) % 35.24/35.48 (step @p538 :rule cong :premises (@p509) :args (@t443)) % 35.24/35.48 (step @p539 :rule bool-eq-false :args (@t433)) % 35.24/35.48 (step @p540 :rule trans :premises (@p539 @p538)) % 35.24/35.48 (step @p541 :rule trans :premises (@p540 @p537)) % 35.24/35.48 (step @p542 :rule false_intro :premises (@p454)) % 35.24/35.48 (step @p543 :rule symm :premises (@p140)) % 35.24/35.48 (step @p544 :rule symm :premises (@p362)) % 35.24/35.48 (step @p545 :rule cong :premises (@p387 @p181) :args (@t430)) % 35.24/35.48 (step @p546 :rule trans :premises (@p545 @p544 @p543)) % 35.24/35.48 (step @p547 :rule refl :args (@t138)) % 35.24/35.48 (step @p548 :rule refl :args (@t139)) % 35.24/35.48 (step @p549 :rule cong :premises (@p548 @p547 @p387 @p240) :args (@t429)) % 35.24/35.48 (step @p550 :rule cong :premises (@p549 @p546) :args (@t433)) % 35.24/35.48 (step @p551 :rule trans :premises (@p550 @p542)) % 35.24/35.48 (step @p552 :rule eq_resolve :premises (@p551 @p541)) % 35.24/35.48 (step @p553 :rule symm :premises (@p552)) % 35.24/35.48 (step @p554 :rule trans :premises (@p553 @p535)) % 35.24/35.48 (step @p555 false :rule eq_resolve :premises (@p554 @p534)) % 35.24/35.48 (step-pop @p588 :rule scope :premises (@p555)) % 35.24/35.48 (step-pop @p589 :rule scope :premises (@p588)) % 35.24/35.48 (step @p556 :rule process_scope :premises (@p589) :args (false)) % 35.24/35.48 (assume-push @p590 @t383) % 35.24/35.48 (assume-push @p591 @t244) % 35.24/35.48 (assume-push @p592 @t180) % 35.24/35.48 (assume-push @p593 @t210) % 35.24/35.48 (assume-push @p594 @t325) % 35.24/35.48 (assume-push @p595 @t436) % 35.24/35.48 (step @p536 :rule bool-eq-false :args (@t436)) % 35.24/35.48 (step @p537 :rule symm :premises (@p536)) % 35.24/35.48 (step @p538 :rule cong :premises (@p509) :args (@t443)) % 35.24/35.48 (step @p539 :rule bool-eq-false :args (@t433)) % 35.24/35.48 (step @p540 :rule trans :premises (@p539 @p538)) % 35.24/35.48 (step @p541 :rule trans :premises (@p540 @p537)) % 35.24/35.48 (step @p542 :rule false_intro :premises (@p454)) % 35.24/35.48 (step @p543 :rule symm :premises (@p140)) % 35.24/35.48 (step @p544 :rule symm :premises (@p362)) % 35.24/35.48 (step @p545 :rule cong :premises (@p387 @p181) :args (@t430)) % 35.24/35.48 (step @p546 :rule trans :premises (@p545 @p544 @p543)) % 35.24/35.48 (step @p547 :rule refl :args (@t138)) % 35.24/35.48 (step @p548 :rule refl :args (@t139)) % 35.24/35.48 (step @p549 :rule cong :premises (@p548 @p547 @p387 @p240) :args (@t429)) % 35.24/35.48 (step @p550 :rule cong :premises (@p549 @p546) :args (@t433)) % 35.24/35.48 (step @p551 :rule trans :premises (@p550 @p542)) % 35.24/35.48 (step @p565 :rule eq_resolve :premises (@p551 @p541)) % 35.24/35.48 (step @p566 :rule false_elim :premises (@p565)) % 35.24/35.48 (step @p567 :rule and_intro :premises (@p524 @p566)) % 35.24/35.48 (step-pop @p596 :rule scope :premises (@p567)) % 35.24/35.48 (step-pop @p597 :rule scope :premises (@p596)) % 35.24/35.48 (step-pop @p598 :rule scope :premises (@p597)) % 35.24/35.48 (step-pop @p599 :rule scope :premises (@p598)) % 35.24/35.48 (step-pop @p600 :rule scope :premises (@p599)) % 35.24/35.48 (step-pop @p601 :rule scope :premises (@p600)) % 35.24/35.48 (step @p568 :rule process_scope :premises (@p601) :args (@t444)) % 35.24/35.48 (step @p575 :rule implies_elim :premises (@p568)) % 35.24/35.48 (step @p576 :rule resolution :premises (@p575 @p556) :args (true @t444)) % 35.24/35.48 (step @p577 :rule not_and :premises (@p576)) % 35.24/35.48 (step @p578 :rule eq_resolve :premises (@p577 @p531)) % 35.24/35.48 (step @p579 false :rule chain_m_resolution :premises (@p578 @p524 @p454 @p362 @p240 @p181 @p140) :args (false (@list false true false false false false) (@list @t436 @t165 @t325 @t244 @t210 @t180))) % 35.24/35.48 ) % 35.24/35.48 % SZS output end Proof % 35.24/35.48 % cvc5 exiting %------------------------------------------------------------------------------