%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP023+2 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:24:47 AM UTC 2026 % Result : Theorem 49.20s 49.48s % Output : Proof 49.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP023+2 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n028.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Tue Jun 2 04:05:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 49.20/49.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 49.20/49.48 --- Run --no-e-matching --full-saturate-quant at 6... % 49.20/49.48 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 49.20/49.48 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 49.20/49.48 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 49.20/49.48 % SZS status Theorem % 49.20/49.48 % SZS output start Proof % 49.20/49.48 ( % 49.20/49.48 (declare-sort $$unsorted 0) % 49.20/49.48 (declare-const tptp.c_2Emin_2E_3D (-> $$unsorted $$unsorted)) % 49.20/49.48 (declare-const tptp.c_2Ebool_2E_7E $$unsorted) % 49.20/49.48 (declare-const tptp.c_2Ebool_2E_2F_5C $$unsorted) % 49.20/49.48 (declare-const tptp.c_2Ebool_2E_5C_2F $$unsorted) % 49.20/49.48 (declare-const tptp.c_2Emin_2E_3D_3D_3E $$unsorted) % 49.20/49.48 (declare-const tptp.c_2Ereal__topology_2Ecball $$unsorted) % 49.20/49.48 (declare-const tptp.c_2Epair_2E_2C (-> $$unsorted $$unsorted $$unsorted)) % 49.20/49.48 (declare-const tptp.c_2Epred__set_2ESUBSET (-> $$unsorted $$unsorted)) % 49.20/49.48 (declare-const tptp.c_2Ebool_2E_3F (-> $$unsorted $$unsorted)) % 49.20/49.48 (declare-const tptp.ne (-> $$unsorted Bool)) % 49.20/49.48 (declare-const tptp.c_2Ereal__topology_2Ebounded__def $$unsorted) % 49.20/49.48 (declare-const tptp.ind $$unsorted) % 49.20/49.48 (declare-const tptp.ty_2Erealax_2Ereal $$unsorted) % 49.20/49.48 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 49.20/49.48 (declare-const tptp.c_2Ebool_2E_21 (-> $$unsorted $$unsorted)) % 49.20/49.48 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 49.20/49.48 (declare-const tptp.c_2Ebool_2EF $$unsorted) % 49.20/49.48 (declare-const tptp.c_2Ereal__topology_2Eball $$unsorted) % 49.20/49.48 (declare-const tptp.bool $$unsorted) % 49.20/49.48 (declare-const tptp.arr (-> $$unsorted $$unsorted $$unsorted)) % 49.20/49.48 (declare-const tptp.p (-> $$unsorted Bool)) % 49.20/49.48 (declare-const tptp.k (-> $$unsorted $$unsorted $$unsorted)) % 49.20/49.48 (declare-const tptp.ty_2Epair_2Eprod (-> $$unsorted $$unsorted $$unsorted)) % 49.20/49.48 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 49.20/49.48 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 49.20/49.48 (define @t1 () (@var "B" $$unsorted)) % 49.20/49.48 (define @t2 () (@var "A" $$unsorted)) % 49.20/49.48 (define @t3 () (tptp.arr @t2 @t1)) % 49.20/49.48 (define @t4 () (tptp.ne @t2)) % 49.20/49.48 (define @t5 () (@list @t2)) % 49.20/49.48 (define @t6 () (@var "X" $$unsorted)) % 49.20/49.48 (define @t7 () (@var "F" $$unsorted)) % 49.20/49.48 (define @t8 () (tptp.ap @t7 @t6)) % 49.20/49.48 (define @t9 () (tptp.mem @t8 @t1)) % 49.20/49.48 (define @t10 () (tptp.mem @t6 @t2)) % 49.20/49.48 (define @t11 () (@list @t6)) % 49.20/49.48 (define @t12 () (forall @t11 (=> @t10 @t9))) % 49.20/49.48 (define @t13 () (tptp.mem @t7 @t3)) % 49.20/49.48 (define @t14 () (=> @t13 @t12)) % 49.20/49.48 (define @t15 () (@list @t2 @t1 @t7)) % 49.20/49.48 (define @t16 () (forall @t15 @t14)) % 49.20/49.48 (define @t17 () (@var "R" $$unsorted)) % 49.20/49.48 (define @t18 () (@var "Q" $$unsorted)) % 49.20/49.48 (define @t19 () (tptp.p @t17)) % 49.20/49.48 (define @t20 () (tptp.p @t18)) % 49.20/49.48 (define @t21 () (tptp.mem @t17 tptp.bool)) % 49.20/49.48 (define @t22 () (@list @t17)) % 49.20/49.48 (define @t23 () (tptp.mem @t18 tptp.bool)) % 49.20/49.48 (define @t24 () (@list @t18)) % 49.20/49.48 (define @t25 () (@var "G" $$unsorted)) % 49.20/49.48 (define @t26 () (@var "Y" $$unsorted)) % 49.20/49.48 (define @t27 () (@var "A_27a" $$unsorted)) % 49.20/49.48 (define @t28 () (tptp.arr @t27 tptp.bool)) % 49.20/49.48 (define @t29 () (tptp.arr @t28 tptp.bool)) % 49.20/49.48 (define @t30 () (tptp.ne @t27)) % 49.20/49.48 (define @t31 () (@list @t27)) % 49.20/49.48 (define @t32 () (tptp.p (tptp.ap @t18 @t6))) % 49.20/49.48 (define @t33 () (tptp.mem @t18 (tptp.arr @t2 tptp.bool))) % 49.20/49.48 (define @t34 () (tptp.ne tptp.ty_2Erealax_2Ereal)) % 49.20/49.48 (define @t35 () (@var "A1" $$unsorted)) % 49.20/49.48 (define @t36 () (@var "A0" $$unsorted)) % 49.20/49.48 (define @t37 () (tptp.arr tptp.ty_2Erealax_2Ereal tptp.bool)) % 49.20/49.48 (define @t38 () (tptp.ty_2Epair_2Eprod tptp.ty_2Erealax_2Ereal tptp.ty_2Erealax_2Ereal)) % 49.20/49.48 (define @t39 () (tptp.arr @t38 @t37)) % 49.20/49.48 (define @t40 () (tptp.mem tptp.c_2Ereal__topology_2Eball @t39)) % 49.20/49.48 (define @t41 () (@var "A_27b" $$unsorted)) % 49.20/49.48 (define @t42 () (tptp.mem (tptp.c_2Epair_2E_2C @t27 @t41) (tptp.arr @t27 (tptp.arr @t41 (tptp.ty_2Epair_2Eprod @t27 @t41))))) % 49.20/49.48 (define @t43 () (tptp.ne @t41)) % 49.20/49.48 (define @t44 () (@list @t41)) % 49.20/49.48 (define @t45 () (forall @t44 (=> @t43 @t42))) % 49.20/49.48 (define @t46 () (=> @t30 @t45)) % 49.20/49.48 (define @t47 () (forall @t31 @t46)) % 49.20/49.48 (define @t48 () (tptp.mem tptp.c_2Ereal__topology_2Ecball @t39)) % 49.20/49.48 (define @t49 () (tptp.arr tptp.bool tptp.bool)) % 49.20/49.48 (define @t50 () (tptp.arr tptp.bool @t49)) % 49.20/49.48 (define @t51 () (@var "V1t2" $$unsorted)) % 49.20/49.48 (define @t52 () (tptp.p @t51)) % 49.20/49.48 (define @t53 () (@var "V0t1" $$unsorted)) % 49.20/49.48 (define @t54 () (tptp.p @t53)) % 49.20/49.48 (define @t55 () (@var "V0t" $$unsorted)) % 49.20/49.48 (define @t56 () (tptp.p @t55)) % 49.20/49.48 (define @t57 () (not @t56)) % 49.20/49.48 (define @t58 () (=> @t56 false)) % 49.20/49.48 (define @t59 () (tptp.mem @t55 tptp.bool)) % 49.20/49.48 (define @t60 () (@list @t55)) % 49.20/49.48 (define @t61 () (forall @t60 (=> @t59 (= (not @t57) @t56)))) % 49.20/49.48 (define @t62 () (@var "V0x" $$unsorted)) % 49.20/49.48 (define @t63 () (@var "V1y" $$unsorted)) % 49.20/49.48 (define @t64 () (@list @t62)) % 49.20/49.48 (define @t65 () (@var "V2x" $$unsorted)) % 49.20/49.48 (define @t66 () (@var "V0P" $$unsorted)) % 49.20/49.48 (define @t67 () (@var "V1x" $$unsorted)) % 49.20/49.48 (define @t68 () (@var "V2C" $$unsorted)) % 49.20/49.48 (define @t69 () (@var "V1B" $$unsorted)) % 49.20/49.48 (define @t70 () (tptp.p @t69)) % 49.20/49.48 (define @t71 () (@var "V0A" $$unsorted)) % 49.20/49.48 (define @t72 () (tptp.p @t71)) % 49.20/49.48 (define @t73 () (or @t72 @t70 (tptp.p @t68))) % 49.20/49.48 (define @t74 () (tptp.mem @t69 tptp.bool)) % 49.20/49.48 (define @t75 () (@list @t69)) % 49.20/49.48 (define @t76 () (tptp.mem @t71 tptp.bool)) % 49.20/49.48 (define @t77 () (@list @t71)) % 49.20/49.48 (define @t78 () (or @t72 @t70)) % 49.20/49.48 (define @t79 () (not @t70)) % 49.20/49.48 (define @t80 () (not @t72)) % 49.20/49.48 (define @t81 () (not @t78)) % 49.20/49.48 (define @t82 () (@var "V1e" $$unsorted)) % 49.20/49.48 (define @t83 () (tptp.c_2Epair_2E_2C tptp.ty_2Erealax_2Ereal tptp.ty_2Erealax_2Ereal)) % 49.20/49.48 (define @t84 () (tptp.ap @t83 @t62)) % 49.20/49.48 (define @t85 () (tptp.ap @t84 @t82)) % 49.20/49.48 (define @t86 () (tptp.ap tptp.c_2Ereal__topology_2Ecball @t85)) % 49.20/49.48 (define @t87 () (tptp.ap tptp.c_2Ereal__topology_2Eball @t85)) % 49.20/49.48 (define @t88 () (tptp.c_2Epred__set_2ESUBSET tptp.ty_2Erealax_2Ereal)) % 49.20/49.48 (define @t89 () (tptp.p (tptp.ap (tptp.ap @t88 @t87) @t86))) % 49.20/49.48 (define @t90 () (tptp.mem @t82 tptp.ty_2Erealax_2Ereal)) % 49.20/49.48 (define @t91 () (@list @t82)) % 49.20/49.48 (define @t92 () (forall @t91 (=> @t90 @t89))) % 49.20/49.48 (define @t93 () (tptp.mem @t62 tptp.ty_2Erealax_2Ereal)) % 49.20/49.48 (define @t94 () (=> @t93 @t92)) % 49.20/49.48 (define @t95 () (forall @t64 @t94)) % 49.20/49.48 (define @t96 () (@var "V0s" $$unsorted)) % 49.20/49.48 (define @t97 () (tptp.p (tptp.ap tptp.c_2Ereal__topology_2Ebounded__def @t96))) % 49.20/49.48 (define @t98 () (@var "V1t" $$unsorted)) % 49.20/49.48 (define @t99 () (tptp.ap @t88 @t96)) % 49.20/49.48 (define @t100 () (tptp.p (tptp.ap @t99 @t98))) % 49.20/49.48 (define @t101 () (tptp.p (tptp.ap tptp.c_2Ereal__topology_2Ebounded__def @t98))) % 49.20/49.48 (define @t102 () (and @t101 @t100)) % 49.20/49.48 (define @t103 () (=> @t102 @t97)) % 49.20/49.48 (define @t104 () (tptp.mem @t98 @t37)) % 49.20/49.48 (define @t105 () (@list @t98)) % 49.20/49.48 (define @t106 () (forall @t105 (=> @t104 @t103))) % 49.20/49.48 (define @t107 () (tptp.mem @t96 @t37)) % 49.20/49.48 (define @t108 () (=> @t107 @t106)) % 49.20/49.48 (define @t109 () (@list @t96)) % 49.20/49.48 (define @t110 () (forall @t109 @t108)) % 49.20/49.48 (define @t111 () (tptp.p (tptp.ap tptp.c_2Ereal__topology_2Ebounded__def @t86))) % 49.20/49.48 (define @t112 () (forall @t91 (=> @t90 @t111))) % 49.20/49.48 (define @t113 () (=> @t93 @t112)) % 49.20/49.48 (define @t114 () (forall @t64 @t113)) % 49.20/49.48 (define @t115 () (=> @t80 false)) % 49.20/49.48 (define @t116 () (=> @t79 false)) % 49.20/49.48 (define @t117 () (=> @t72 false)) % 49.20/49.48 (define @t118 () (@var "V0p" $$unsorted)) % 49.20/49.48 (define @t119 () (tptp.p @t118)) % 49.20/49.48 (define @t120 () (not @t119)) % 49.20/49.48 (define @t121 () (@var "V1q" $$unsorted)) % 49.20/49.48 (define @t122 () (tptp.p @t121)) % 49.20/49.48 (define @t123 () (not @t122)) % 49.20/49.48 (define @t124 () (@var "V2r" $$unsorted)) % 49.20/49.48 (define @t125 () (tptp.p @t124)) % 49.20/49.48 (define @t126 () (not @t125)) % 49.20/49.48 (define @t127 () (tptp.mem @t124 tptp.bool)) % 49.20/49.48 (define @t128 () (@list @t124)) % 49.20/49.48 (define @t129 () (tptp.mem @t121 tptp.bool)) % 49.20/49.48 (define @t130 () (@list @t121)) % 49.20/49.48 (define @t131 () (tptp.mem @t118 tptp.bool)) % 49.20/49.48 (define @t132 () (@list @t118)) % 49.20/49.48 (define @t133 () (or @t119 @t126)) % 49.20/49.48 (define @t134 () (or @t119 @t122)) % 49.20/49.48 (define @t135 () (tptp.p (tptp.ap tptp.c_2Ereal__topology_2Ebounded__def @t87))) % 49.20/49.48 (define @t136 () (forall @t91 (=> @t90 @t135))) % 49.20/49.48 (define @t137 () (=> @t93 @t136)) % 49.20/49.48 (define @t138 () (forall @t64 @t137)) % 49.20/49.48 (define @t139 () (not @t138)) % 49.20/49.48 (define @t140 () (@var "BOUND_VARIABLE_8802" $$unsorted)) % 49.20/49.48 (define @t141 () (tptp.p (tptp.ap tptp.c_2Ereal__topology_2Ebounded__def (tptp.ap tptp.c_2Ereal__topology_2Eball (tptp.ap @t84 @t140))))) % 49.20/49.48 (define @t142 () (not (tptp.mem @t140 tptp.ty_2Erealax_2Ereal))) % 49.20/49.48 (define @t143 () (not @t93)) % 49.20/49.48 (define @t144 () (or @t143 @t142 @t141)) % 49.20/49.48 (define @t145 () (or @t142 @t141)) % 49.20/49.48 (define @t146 () (or @t143 @t145)) % 49.20/49.48 (define @t147 () (@list @t62 @t140)) % 49.20/49.48 (define @t148 () (forall @t147 @t146)) % 49.20/49.48 (define @t149 () (@list @t140)) % 49.20/49.48 (define @t150 () (forall @t149 @t146)) % 49.20/49.48 (define @t151 () (forall @t149 @t145)) % 49.20/49.48 (define @t152 () (@list @t82)) % 49.20/49.48 (define @t153 () (or @t143 @t151)) % 49.20/49.48 (define @t154 () (not @t90)) % 49.20/49.48 (define @t155 () (forall @t91 (or @t154 @t135))) % 49.20/49.48 (define @t156 () (forall @t147 @t144)) % 49.20/49.48 (define @t157 () (@quantifiers_skolemize @t156 1)) % 49.20/49.48 (define @t158 () (@quantifiers_skolemize @t156 0)) % 49.20/49.48 (define @t159 () (tptp.ap @t83 @t158)) % 49.20/49.48 (define @t160 () (tptp.ap @t159 @t157)) % 49.20/49.48 (define @t161 () (tptp.ap tptp.c_2Ereal__topology_2Eball @t160)) % 49.20/49.48 (define @t162 () (tptp.p (tptp.ap tptp.c_2Ereal__topology_2Ebounded__def @t161))) % 49.20/49.48 (define @t163 () (tptp.mem @t157 tptp.ty_2Erealax_2Ereal)) % 49.20/49.48 (define @t164 () (not @t163)) % 49.20/49.48 (define @t165 () (tptp.mem @t158 tptp.ty_2Erealax_2Ereal)) % 49.20/49.48 (define @t166 () (not @t165)) % 49.20/49.48 (define @t167 () (or @t166 @t164 @t162)) % 49.20/49.48 (define @t168 () (@list true)) % 49.20/49.48 (define @t169 () (@list @t167)) % 49.20/49.48 (define @t170 () (@var "BOUND_VARIABLE_8448" $$unsorted)) % 49.20/49.48 (define @t171 () (tptp.ap @t84 @t170)) % 49.20/49.48 (define @t172 () (tptp.p (tptp.ap (tptp.ap @t88 (tptp.ap tptp.c_2Ereal__topology_2Eball @t171)) (tptp.ap tptp.c_2Ereal__topology_2Ecball @t171)))) % 49.20/49.48 (define @t173 () (not (tptp.mem @t170 tptp.ty_2Erealax_2Ereal))) % 49.20/49.48 (define @t174 () (or @t173 @t172)) % 49.20/49.48 (define @t175 () (or @t143 @t174)) % 49.20/49.48 (define @t176 () (forall (@list @t62 @t170) @t175)) % 49.20/49.48 (define @t177 () (@list @t170)) % 49.20/49.48 (define @t178 () (forall @t177 @t175)) % 49.20/49.48 (define @t179 () (forall @t177 @t174)) % 49.20/49.48 (define @t180 () (or @t143 @t179)) % 49.20/49.48 (define @t181 () (forall @t91 (or @t154 @t89))) % 49.20/49.48 (define @t182 () (@list @t158 @t157)) % 49.20/49.48 (define @t183 () (tptp.ap tptp.c_2Ereal__topology_2Ecball @t160)) % 49.20/49.48 (define @t184 () (tptp.p (tptp.ap (tptp.ap @t88 @t161) @t183))) % 49.20/49.48 (define @t185 () (or @t166 @t164 @t184)) % 49.20/49.48 (define @t186 () (@list false false false)) % 49.20/49.48 (define @t187 () (@var "BOUND_VARIABLE_8504" $$unsorted)) % 49.20/49.48 (define @t188 () (tptp.p (tptp.ap tptp.c_2Ereal__topology_2Ebounded__def (tptp.ap tptp.c_2Ereal__topology_2Ecball (tptp.ap @t84 @t187))))) % 49.20/49.48 (define @t189 () (not (tptp.mem @t187 tptp.ty_2Erealax_2Ereal))) % 49.20/49.48 (define @t190 () (or @t189 @t188)) % 49.20/49.48 (define @t191 () (or @t143 @t190)) % 49.20/49.48 (define @t192 () (forall (@list @t62 @t187) @t191)) % 49.20/49.48 (define @t193 () (@list @t187)) % 49.20/49.48 (define @t194 () (forall @t193 @t191)) % 49.20/49.48 (define @t195 () (forall @t193 @t190)) % 49.20/49.48 (define @t196 () (or @t143 @t195)) % 49.20/49.48 (define @t197 () (forall @t91 (or @t154 @t111))) % 49.20/49.48 (define @t198 () (tptp.p (tptp.ap tptp.c_2Ereal__topology_2Ebounded__def @t183))) % 49.20/49.48 (define @t199 () (or @t166 @t164 @t198)) % 49.20/49.48 (define @t200 () (@var "BOUND_VARIABLE_8481" $$unsorted)) % 49.20/49.48 (define @t201 () (not (tptp.p (tptp.ap @t99 @t200)))) % 49.20/49.48 (define @t202 () (not (tptp.p (tptp.ap tptp.c_2Ereal__topology_2Ebounded__def @t200)))) % 49.20/49.48 (define @t203 () (not (tptp.mem @t200 @t37))) % 49.20/49.48 (define @t204 () (not @t107)) % 49.20/49.48 (define @t205 () (or @t203 @t202 @t201)) % 49.20/49.48 (define @t206 () (or @t204 @t97 @t205)) % 49.20/49.48 (define @t207 () (forall (@list @t96 @t200) @t206)) % 49.20/49.48 (define @t208 () (@list @t200)) % 49.20/49.48 (define @t209 () (forall @t208 @t206)) % 49.20/49.48 (define @t210 () (forall @t208 @t205)) % 49.20/49.48 (define @t211 () (or @t204 @t97 @t210)) % 49.20/49.48 (define @t212 () (not @t100)) % 49.20/49.48 (define @t213 () (not @t101)) % 49.20/49.48 (define @t214 () (not @t104)) % 49.20/49.48 (define @t215 () (or @t214 @t213 @t212)) % 49.20/49.48 (define @t216 () (forall @t105 @t215)) % 49.20/49.48 (define @t217 () (or @t204 @t97 @t216)) % 49.20/49.48 (define @t218 () (or @t97 @t216)) % 49.20/49.48 (define @t219 () (or @t97 @t215)) % 49.20/49.48 (define @t220 () (or @t214 @t213 @t212 @t97)) % 49.20/49.48 (define @t221 () (or @t213 @t212 @t97)) % 49.20/49.48 (define @t222 () (@var "BOUND_VARIABLE_7960" $$unsorted)) % 49.20/49.48 (define @t223 () (tptp.mem (tptp.ap @t7 @t222) @t1)) % 49.20/49.48 (define @t224 () (not (tptp.mem @t222 @t2))) % 49.20/49.48 (define @t225 () (not @t13)) % 49.20/49.48 (define @t226 () (or @t224 @t223)) % 49.20/49.48 (define @t227 () (or @t225 @t226)) % 49.20/49.48 (define @t228 () (forall (@list @t2 @t1 @t7 @t222) @t227)) % 49.20/49.48 (define @t229 () (@list @t222)) % 49.20/49.48 (define @t230 () (forall @t229 @t227)) % 49.20/49.48 (define @t231 () (forall @t229 @t226)) % 49.20/49.48 (define @t232 () (or @t225 @t231)) % 49.20/49.48 (define @t233 () (forall @t11 (or (not @t10) @t9))) % 49.20/49.48 (define @t234 () (tptp.arr tptp.ty_2Erealax_2Ereal @t38)) % 49.20/49.48 (define @t235 () (@var "BOUND_VARIABLE_8118" $$unsorted)) % 49.20/49.48 (define @t236 () (tptp.mem (tptp.c_2Epair_2E_2C @t27 @t235) (tptp.arr @t27 (tptp.arr @t235 (tptp.ty_2Epair_2Eprod @t27 @t235))))) % 49.20/49.48 (define @t237 () (not (tptp.ne @t235))) % 49.20/49.48 (define @t238 () (not @t30)) % 49.20/49.48 (define @t239 () (or @t237 @t236)) % 49.20/49.48 (define @t240 () (or @t238 @t239)) % 49.20/49.48 (define @t241 () (forall (@list @t27 @t235) @t240)) % 49.20/49.48 (define @t242 () (@list @t235)) % 49.20/49.48 (define @t243 () (forall @t242 @t240)) % 49.20/49.48 (define @t244 () (forall @t242 @t239)) % 49.20/49.48 (define @t245 () (or @t238 @t244)) % 49.20/49.48 (define @t246 () (forall @t44 (or (not @t43) @t42))) % 49.20/49.48 (define @t247 () (tptp.mem @t83 (tptp.arr tptp.ty_2Erealax_2Ereal @t234))) % 49.20/49.48 (define @t248 () (not @t34)) % 49.20/49.48 (define @t249 () (or @t248 @t248 @t247)) % 49.20/49.48 (define @t250 () (tptp.mem @t159 @t234)) % 49.20/49.48 (define @t251 () (not @t247)) % 49.20/49.48 (define @t252 () (or @t251 @t166 @t250)) % 49.20/49.48 (define @t253 () (tptp.mem @t160 @t38)) % 49.20/49.48 (define @t254 () (not @t250)) % 49.20/49.48 (define @t255 () (or @t254 @t164 @t253)) % 49.20/49.48 (define @t256 () (tptp.mem @t161 @t37)) % 49.20/49.48 (define @t257 () (not @t253)) % 49.20/49.48 (define @t258 () (not @t40)) % 49.20/49.48 (define @t259 () (or @t258 @t257 @t256)) % 49.20/49.48 (define @t260 () (tptp.mem @t183 @t37)) % 49.20/49.48 (define @t261 () (not @t48)) % 49.20/49.48 (define @t262 () (or @t261 @t257 @t260)) % 49.20/49.48 (define @t263 () (not @t184)) % 49.20/49.48 (define @t264 () (not @t198)) % 49.20/49.48 (define @t265 () (not @t260)) % 49.20/49.48 (define @t266 () (not @t256)) % 49.20/49.48 (define @t267 () (or @t266 @t162 @t265 @t264 @t263)) % 49.20/49.48 (assume @p1 (tptp.ne tptp.bool)) % 49.20/49.48 (assume @p2 (tptp.ne tptp.ind)) % 49.20/49.48 (assume @p3 (forall @t5 (=> @t4 (forall (@list @t1) (=> (tptp.ne @t1) (tptp.ne @t3)))))) % 49.20/49.48 (assume @p4 @t16) % 49.20/49.48 (assume @p5 (forall @t24 (=> @t23 (forall @t22 (=> @t21 (=> (= @t20 @t19) (= @t18 @t17))))))) % 49.20/49.48 (assume @p6 (forall @t15 (=> @t13 (forall (@list @t25) (=> (tptp.mem @t25 @t3) (=> (forall @t11 (=> @t10 (= @t8 (tptp.ap @t25 @t6)))) (= @t7 @t25))))))) % 49.20/49.48 (assume @p7 (forall (@list @t2 @t26 @t6) (=> @t10 (= (tptp.ap (tptp.k @t2 @t26) @t6) @t26)))) % 49.20/49.48 (assume @p8 (forall (@list @t2 @t6) (=> @t10 (= (tptp.ap (tptp.i @t2) @t6) @t6)))) % 49.20/49.48 (assume @p9 (tptp.mem tptp.c_2Ebool_2ET tptp.bool)) % 49.20/49.48 (assume @p10 (tptp.p tptp.c_2Ebool_2ET)) % 49.20/49.48 (assume @p11 (forall @t31 (=> @t30 (tptp.mem (tptp.c_2Ebool_2E_3F @t27) @t29)))) % 49.20/49.48 (assume @p12 (forall @t5 (=> @t4 (forall @t24 (=> @t33 (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_3F @t2) @t18)) (exists @t11 (and @t10 @t32)))))))) % 49.20/49.48 (assume @p13 @t34) % 49.20/49.48 (assume @p14 (forall (@list @t36) (=> (tptp.ne @t36) (forall (@list @t35) (=> (tptp.ne @t35) (tptp.ne (tptp.ty_2Epair_2Eprod @t36 @t35))))))) % 49.20/49.48 (assume @p15 @t40) % 49.20/49.48 (assume @p16 (forall @t31 (=> @t30 (tptp.mem (tptp.c_2Epred__set_2ESUBSET @t27) (tptp.arr @t28 @t29))))) % 49.20/49.48 (assume @p17 @t47) % 49.20/49.48 (assume @p18 @t48) % 49.20/49.48 (assume @p19 (tptp.mem tptp.c_2Ereal__topology_2Ebounded__def (tptp.arr @t37 tptp.bool))) % 49.20/49.48 (assume @p20 (tptp.mem tptp.c_2Ebool_2EF tptp.bool)) % 49.20/49.48 (assume @p21 (not (tptp.p tptp.c_2Ebool_2EF))) % 49.20/49.48 (assume @p22 (tptp.mem tptp.c_2Emin_2E_3D_3D_3E @t50)) % 49.20/49.48 (assume @p23 (forall @t24 (=> @t23 (forall @t22 (=> @t21 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E @t18) @t17)) (=> @t20 @t19))))))) % 49.20/49.48 (assume @p24 (tptp.mem tptp.c_2Ebool_2E_5C_2F @t50)) % 49.20/49.48 (assume @p25 (forall @t24 (=> @t23 (forall @t22 (=> @t21 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_5C_2F @t18) @t17)) (or @t20 @t19))))))) % 49.20/49.48 (assume @p26 (tptp.mem tptp.c_2Ebool_2E_2F_5C @t50)) % 49.20/49.48 (assume @p27 (forall @t24 (=> @t23 (forall @t22 (=> @t21 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C @t18) @t17)) (and @t20 @t19))))))) % 49.20/49.48 (assume @p28 (tptp.mem tptp.c_2Ebool_2E_7E @t49)) % 49.20/49.48 (assume @p29 (forall @t24 (=> @t23 (= (tptp.p (tptp.ap tptp.c_2Ebool_2E_7E @t18)) (not @t20))))) % 49.20/49.48 (assume @p30 (forall @t31 (=> @t30 (tptp.mem (tptp.c_2Emin_2E_3D @t27) (tptp.arr @t27 @t28))))) % 49.20/49.48 (assume @p31 (forall @t5 (=> @t4 (forall @t11 (=> @t10 (forall (@list @t26) (=> (tptp.mem @t26 @t2) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D @t2) @t6) @t26)) (= @t6 @t26))))))))) % 49.20/49.48 (assume @p32 (forall @t31 (=> @t30 (tptp.mem (tptp.c_2Ebool_2E_21 @t27) @t29)))) % 49.20/49.48 (assume @p33 (forall @t5 (=> @t4 (forall @t24 (=> @t33 (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 @t2) @t18)) (forall @t11 (=> @t10 @t32)))))))) % 49.20/49.48 (assume @p34 true) % 49.20/49.48 (assume @p35 (forall (@list @t53) (=> (tptp.mem @t53 tptp.bool) (forall (@list @t51) (=> (tptp.mem @t51 tptp.bool) (=> (=> @t54 @t52) (=> (=> @t52 @t54) (= @t54 @t52)))))))) % 49.20/49.48 (assume @p36 (forall @t60 (=> @t59 (=> @t58 @t57)))) % 49.20/49.48 (assume @p37 (forall @t60 (=> @t59 (=> @t57 @t58)))) % 49.20/49.48 (assume @p38 (forall @t60 (=> @t59 (and (= (=> true @t56) @t56) (= (=> @t56 true) true) (= (=> false @t56) true) (= (=> @t56 @t56) true) (= @t58 @t57))))) % 49.20/49.48 (assume @p39 (and @t61 (= (not true) false) (= (not false) true))) % 49.20/49.48 (assume @p40 (forall @t31 (=> @t30 (forall @t64 (=> (tptp.mem @t62 @t27) (forall (@list @t63) (=> (tptp.mem @t63 @t27) (= (= @t62 @t63) (= @t63 @t62))))))))) % 49.20/49.48 (assume @p41 (forall @t60 (=> @t59 (and (= (= true @t56) @t56) (= (= @t56 true) @t56) (= (= false @t56) @t57) (= (= @t56 false) @t57))))) % 49.20/49.48 (assume @p42 (forall @t31 (=> @t30 (forall (@list @t66) (=> (tptp.mem @t66 @t28) (= (not (forall (@list @t67) (=> (tptp.mem @t67 @t27) (tptp.p (tptp.ap @t66 @t67))))) (exists (@list @t65) (and (tptp.mem @t65 @t27) (not (tptp.p (tptp.ap @t66 @t65))))))))))) % 49.20/49.48 (assume @p43 (forall @t77 (=> @t76 (forall @t75 (=> @t74 (forall (@list @t68) (=> (tptp.mem @t68 tptp.bool) (= @t73 @t73)))))))) % 49.20/49.48 (assume @p44 (forall @t77 (=> @t76 (forall @t75 (=> @t74 (= @t78 (or @t70 @t72))))))) % 49.20/49.48 (assume @p45 (forall @t77 (=> @t76 (forall @t75 (=> @t74 (and (= (not (and @t72 @t70)) (or @t80 @t79)) (= @t81 (and @t80 @t79)))))))) % 49.20/49.48 (assume @p46 @t95) % 49.20/49.48 (assume @p47 @t110) % 49.20/49.48 (assume @p48 @t114) % 49.20/49.48 (assume @p49 @t61) % 49.20/49.48 (assume @p50 (forall @t77 (=> @t76 (=> @t72 @t115)))) % 49.20/49.48 (assume @p51 (forall @t77 (=> @t76 (forall @t75 (=> @t74 (= (=> @t81 false) (=> @t117 @t116))))))) % 49.20/49.48 (assume @p52 (forall @t77 (=> @t76 (forall @t75 (=> @t74 (= (=> (not (or @t80 @t70)) false) (=> @t72 @t116))))))) % 49.20/49.48 (assume @p53 (forall @t77 (=> @t76 (=> @t115 (=> @t117 false))))) % 49.20/49.48 (assume @p54 (forall @t132 (=> @t131 (forall @t130 (=> @t129 (forall @t128 (=> @t127 (= (= @t119 (= @t122 @t125)) (and (or @t119 @t122 @t125) (or @t119 @t126 @t123) (or @t122 @t126 @t120) (or @t125 @t123 @t120)))))))))) % 49.20/49.48 (assume @p55 (forall @t132 (=> @t131 (forall @t130 (=> @t129 (forall @t128 (=> @t127 (= (= @t119 (and @t122 @t125)) (and (or @t119 @t123 @t126) (or @t122 @t120) (or @t125 @t120)))))))))) % 49.20/49.48 (assume @p56 (forall @t132 (=> @t131 (forall @t130 (=> @t129 (forall @t128 (=> @t127 (= (= @t119 (or @t122 @t125)) (and (or @t119 @t123) @t133 (or @t122 @t125 @t120)))))))))) % 49.20/49.48 (assume @p57 (forall @t132 (=> @t131 (forall @t130 (=> @t129 (forall @t128 (=> @t127 (= (= @t119 (=> @t122 @t125)) (and @t134 @t133 (or @t123 @t125 @t120)))))))))) % 49.20/49.48 (assume @p58 (forall @t132 (=> @t131 (forall @t130 (=> @t129 (= (= @t119 @t123) (and @t134 (or @t123 @t120)))))))) % 49.20/49.48 (assume @p59 @t139) % 49.20/49.48 (step @p60 :rule aci_norm :args ((= @t146 @t144))) % 49.20/49.48 (step @p61 :rule cong :premises (@p60) :args (@t148)) % 49.20/49.48 (step @p62 :rule quant-merge-prenex :args ((= (forall @t64 @t150) @t148))) % 49.20/49.48 (step @p63 :rule alpha_equiv :args (@t151 (@list @t140) @t152)) % 49.20/49.48 (step @p64 :rule refl :args (@t143)) % 49.20/49.48 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t153)) % 49.20/49.48 (step @p66 :rule quant-miniscope-or :args ((= @t150 @t153))) % 49.20/49.48 (step @p67 :rule trans :premises (@p66 @p65)) % 49.20/49.48 (step @p68 :rule symm :premises (@p67)) % 49.20/49.48 (step @p69 :rule cong :premises (@p68) :args ((forall @t64 (or @t143 @t155)))) % 49.20/49.48 (step @p70 :rule trans :premises (@p69 @p62)) % 49.20/49.48 (step @p71 :rule trans :premises (@p70 @p61)) % 49.20/49.48 (step @p72 :rule bool-impl-elim :args (@t93 @t155)) % 49.20/49.48 (step @p73 :rule cong :premises (@p72) :args ((forall @t64 (=> @t93 @t155)))) % 49.20/49.48 (step @p74 :rule trans :premises (@p73 @p71)) % 49.20/49.48 (step @p75 :rule bool-impl-elim :args (@t90 @t135)) % 49.20/49.48 (step @p76 :rule cong :premises (@p75) :args (@t136)) % 49.20/49.48 (step @p77 :rule refl :args (@t93)) % 49.20/49.48 (step @p78 :rule cong :premises (@p77 @p76) :args (@t137)) % 49.20/49.48 (step @p79 :rule cong :premises (@p78) :args (@t138)) % 49.20/49.48 (step @p80 :rule trans :premises (@p79 @p74)) % 49.20/49.48 (step @p81 :rule cong :premises (@p80) :args (@t139)) % 49.20/49.48 (step @p82 :rule eq_resolve :premises (@p59 @p81)) % 49.20/49.48 (step @p83 :rule skolemize :premises (@p82)) % 49.20/49.48 (step @p84 :rule cnf_or_neg :args (@t167 2)) % 49.20/49.48 (step @p85 :rule chain_m_resolution :premises (@p84 @p83) :args ((not @t162) @t168 @t169)) % 49.20/49.48 (step @p86 :rule aci_norm :args ((= @t175 (or @t143 @t173 @t172)))) % 49.20/49.48 (step @p87 :rule cong :premises (@p86) :args (@t176)) % 49.20/49.48 (step @p88 :rule quant-merge-prenex :args ((= (forall @t64 @t178) @t176))) % 49.20/49.48 (step @p89 :rule alpha_equiv :args (@t179 (@list @t170) @t152)) % 49.20/49.48 (step @p90 :rule nary_cong :premises (@p64 @p89) :args (@t180)) % 49.20/49.48 (step @p91 :rule quant-miniscope-or :args ((= @t178 @t180))) % 49.20/49.48 (step @p92 :rule trans :premises (@p91 @p90)) % 49.20/49.48 (step @p93 :rule symm :premises (@p92)) % 49.20/49.48 (step @p94 :rule cong :premises (@p93) :args ((forall @t64 (or @t143 @t181)))) % 49.20/49.48 (step @p95 :rule trans :premises (@p94 @p88)) % 49.20/49.48 (step @p96 :rule trans :premises (@p95 @p87)) % 49.20/49.48 (step @p97 :rule bool-impl-elim :args (@t93 @t181)) % 49.20/49.48 (step @p98 :rule cong :premises (@p97) :args ((forall @t64 (=> @t93 @t181)))) % 49.20/49.48 (step @p99 :rule trans :premises (@p98 @p96)) % 49.20/49.48 (step @p100 :rule bool-impl-elim :args (@t90 @t89)) % 49.20/49.48 (step @p101 :rule cong :premises (@p100) :args (@t92)) % 49.20/49.48 (step @p102 :rule cong :premises (@p77 @p101) :args (@t94)) % 49.20/49.48 (step @p103 :rule cong :premises (@p102) :args (@t95)) % 49.20/49.48 (step @p104 :rule trans :premises (@p103 @p99)) % 49.20/49.48 (step @p105 :rule eq_resolve :premises (@p46 @p104)) % 49.20/49.48 (step @p106 :rule instantiate :premises (@p105) :args (@t182)) % 49.20/49.48 (step @p107 :rule bool-double-not-elim :args (@t163)) % 49.20/49.48 (step @p108 :rule refl :args (@t167)) % 49.20/49.48 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t167 (not @t164)))) % 49.20/49.48 (step @p110 :rule cnf_or_neg :args (@t167 1)) % 49.20/49.48 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 49.20/49.48 (step @p112 :rule reordering :premises (@p111) :args ((or @t163 @t167))) % 49.20/49.48 (step @p113 :rule chain_m_resolution :premises (@p112 @p83) :args (@t163 @t168 @t169)) % 49.20/49.48 (step @p114 :rule bool-double-not-elim :args (@t165)) % 49.20/49.48 (step @p115 :rule nary_cong :premises (@p108 @p114) :args ((or @t167 (not @t166)))) % 49.20/49.48 (step @p116 :rule cnf_or_neg :args (@t167 0)) % 49.20/49.48 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 49.20/49.48 (step @p118 :rule reordering :premises (@p117) :args ((or @t165 @t167))) % 49.20/49.48 (step @p119 :rule chain_m_resolution :premises (@p118 @p83) :args (@t165 @t168 @t169)) % 49.20/49.48 (step @p120 :rule cnf_or_pos :args (@t185)) % 49.20/49.48 (step @p121 :rule reordering :premises (@p120) :args ((or @t166 @t164 @t184 (not @t185)))) % 49.20/49.48 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p113 @p106) :args (@t184 @t186 (@list @t165 @t163 @t185))) % 49.20/49.48 (step @p123 :rule aci_norm :args ((= @t191 (or @t143 @t189 @t188)))) % 49.20/49.48 (step @p124 :rule cong :premises (@p123) :args (@t192)) % 49.20/49.48 (step @p125 :rule quant-merge-prenex :args ((= (forall @t64 @t194) @t192))) % 49.20/49.48 (step @p126 :rule alpha_equiv :args (@t195 (@list @t187) @t152)) % 49.20/49.48 (step @p127 :rule nary_cong :premises (@p64 @p126) :args (@t196)) % 49.20/49.48 (step @p128 :rule quant-miniscope-or :args ((= @t194 @t196))) % 49.20/49.48 (step @p129 :rule trans :premises (@p128 @p127)) % 49.20/49.48 (step @p130 :rule symm :premises (@p129)) % 49.20/49.48 (step @p131 :rule cong :premises (@p130) :args ((forall @t64 (or @t143 @t197)))) % 49.20/49.48 (step @p132 :rule trans :premises (@p131 @p125)) % 49.20/49.48 (step @p133 :rule trans :premises (@p132 @p124)) % 49.20/49.48 (step @p134 :rule bool-impl-elim :args (@t93 @t197)) % 49.20/49.48 (step @p135 :rule cong :premises (@p134) :args ((forall @t64 (=> @t93 @t197)))) % 49.20/49.48 (step @p136 :rule trans :premises (@p135 @p133)) % 49.20/49.48 (step @p137 :rule bool-impl-elim :args (@t90 @t111)) % 49.20/49.48 (step @p138 :rule cong :premises (@p137) :args (@t112)) % 49.20/49.48 (step @p139 :rule cong :premises (@p77 @p138) :args (@t113)) % 49.20/49.48 (step @p140 :rule cong :premises (@p139) :args (@t114)) % 49.20/49.48 (step @p141 :rule trans :premises (@p140 @p136)) % 49.20/49.48 (step @p142 :rule eq_resolve :premises (@p48 @p141)) % 49.20/49.48 (step @p143 :rule instantiate :premises (@p142) :args (@t182)) % 49.20/49.48 (step @p144 :rule cnf_or_pos :args (@t199)) % 49.20/49.48 (step @p145 :rule reordering :premises (@p144) :args ((or @t166 @t164 @t198 (not @t199)))) % 49.20/49.48 (step @p146 :rule chain_m_resolution :premises (@p145 @p119 @p113 @p143) :args (@t198 @t186 (@list @t165 @t163 @t199))) % 49.20/49.48 (step @p147 :rule aci_norm :args ((= @t206 (or @t204 @t97 @t203 @t202 @t201)))) % 49.20/49.48 (step @p148 :rule cong :premises (@p147) :args (@t207)) % 49.20/49.48 (step @p149 :rule quant-merge-prenex :args ((= (forall @t109 @t209) @t207))) % 49.20/49.48 (step @p150 :rule alpha_equiv :args (@t210 (@list @t200) (@list @t98))) % 49.20/49.48 (step @p151 :rule refl :args (@t97)) % 49.20/49.48 (step @p152 :rule refl :args (@t204)) % 49.20/49.48 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150) :args (@t211)) % 49.20/49.48 (step @p154 :rule quant-miniscope-or :args ((= @t209 @t211))) % 49.20/49.48 (step @p155 :rule trans :premises (@p154 @p153)) % 49.20/49.48 (step @p156 :rule symm :premises (@p155)) % 49.20/49.48 (step @p157 :rule cong :premises (@p156) :args ((forall @t109 @t217))) % 49.20/49.48 (step @p158 :rule trans :premises (@p157 @p149)) % 49.20/49.48 (step @p159 :rule trans :premises (@p158 @p148)) % 49.20/49.48 (step @p160 :rule aci_norm :args ((= (or @t204 @t218) @t217))) % 49.20/49.48 (step @p161 :rule bool-impl-elim :args (@t107 @t218)) % 49.20/49.48 (step @p162 :rule trans :premises (@p161 @p160)) % 49.20/49.48 (step @p163 :rule cong :premises (@p162) :args ((forall @t109 (=> @t107 @t218)))) % 49.20/49.48 (step @p164 :rule trans :premises (@p163 @p159)) % 49.20/49.48 (step @p165 :rule quant-miniscope-or :args ((= (forall @t105 @t219) @t218))) % 49.20/49.48 (step @p166 :rule aci_norm :args ((= @t220 @t219))) % 49.20/49.48 (step @p167 :rule cong :premises (@p166) :args ((forall @t105 @t220))) % 49.20/49.48 (step @p168 :rule trans :premises (@p167 @p165)) % 49.20/49.48 (step @p169 :rule aci_norm :args ((= (or @t214 @t221) @t220))) % 49.20/49.48 (step @p170 :rule aci_norm :args ((= (or (or @t213 @t212) @t97) @t221))) % 49.20/49.48 (step @p171 :rule bool-and-de-morgan :args (@t101 @t100 true)) % 49.20/49.48 (step @p172 :rule nary_cong :premises (@p171 @p151) :args ((or (not @t102) @t97))) % 49.20/49.48 (step @p173 :rule trans :premises (@p172 @p170)) % 49.20/49.48 (step @p174 :rule bool-impl-elim :args (@t102 @t97)) % 49.20/49.48 (step @p175 :rule trans :premises (@p174 @p173)) % 49.20/49.48 (step @p176 :rule refl :args (@t214)) % 49.20/49.48 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or @t214 @t103))) % 49.20/49.48 (step @p178 :rule trans :premises (@p177 @p169)) % 49.20/49.48 (step @p179 :rule bool-impl-elim :args (@t104 @t103)) % 49.20/49.48 (step @p180 :rule trans :premises (@p179 @p178)) % 49.20/49.48 (step @p181 :rule cong :premises (@p180) :args (@t106)) % 49.20/49.48 (step @p182 :rule trans :premises (@p181 @p168)) % 49.20/49.48 (step @p183 :rule refl :args (@t107)) % 49.20/49.48 (step @p184 :rule cong :premises (@p183 @p182) :args (@t108)) % 49.20/49.48 (step @p185 :rule cong :premises (@p184) :args (@t110)) % 49.20/49.48 (step @p186 :rule trans :premises (@p185 @p164)) % 49.20/49.48 (step @p187 :rule eq_resolve :premises (@p47 @p186)) % 49.20/49.48 (step @p188 :rule instantiate :premises (@p187) :args ((@list @t161 @t183))) % 49.20/49.48 (step @p189 :rule aci_norm :args ((= @t227 (or @t225 @t224 @t223)))) % 49.20/49.48 (step @p190 :rule cong :premises (@p189) :args (@t228)) % 49.20/49.48 (step @p191 :rule quant-merge-prenex :args ((= (forall @t15 @t230) @t228))) % 49.20/49.48 (step @p192 :rule alpha_equiv :args (@t231 (@list @t222) (@list @t6))) % 49.20/49.48 (step @p193 :rule refl :args (@t225)) % 49.20/49.48 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t232)) % 49.20/49.48 (step @p195 :rule quant-miniscope-or :args ((= @t230 @t232))) % 49.20/49.48 (step @p196 :rule trans :premises (@p195 @p194)) % 49.20/49.48 (step @p197 :rule symm :premises (@p196)) % 49.20/49.48 (step @p198 :rule cong :premises (@p197) :args ((forall @t15 (or @t225 @t233)))) % 49.20/49.48 (step @p199 :rule trans :premises (@p198 @p191)) % 49.20/49.48 (step @p200 :rule trans :premises (@p199 @p190)) % 49.20/49.48 (step @p201 :rule bool-impl-elim :args (@t13 @t233)) % 49.20/49.48 (step @p202 :rule cong :premises (@p201) :args ((forall @t15 (=> @t13 @t233)))) % 49.20/49.48 (step @p203 :rule trans :premises (@p202 @p200)) % 49.20/49.48 (step @p204 :rule bool-impl-elim :args (@t10 @t9)) % 49.20/49.48 (step @p205 :rule cong :premises (@p204) :args (@t12)) % 49.20/49.48 (step @p206 :rule refl :args (@t13)) % 49.20/49.48 (step @p207 :rule cong :premises (@p206 @p205) :args (@t14)) % 49.20/49.48 (step @p208 :rule cong :premises (@p207) :args (@t16)) % 49.20/49.48 (step @p209 :rule trans :premises (@p208 @p203)) % 49.20/49.48 (step @p210 :rule eq_resolve :premises (@p4 @p209)) % 49.20/49.48 (step @p211 :rule instantiate :premises (@p210) :args ((@list @t38 @t37 tptp.c_2Ereal__topology_2Eball @t160))) % 49.20/49.48 (step @p212 :rule instantiate :premises (@p210) :args ((@list tptp.ty_2Erealax_2Ereal @t38 @t159 @t157))) % 49.20/49.48 (step @p213 :rule instantiate :premises (@p210) :args ((@list tptp.ty_2Erealax_2Ereal @t234 @t83 @t158))) % 49.20/49.48 (step @p214 :rule aci_norm :args ((= @t240 (or @t238 @t237 @t236)))) % 49.20/49.48 (step @p215 :rule cong :premises (@p214) :args (@t241)) % 49.20/49.48 (step @p216 :rule quant-merge-prenex :args ((= (forall @t31 @t243) @t241))) % 49.20/49.48 (step @p217 :rule alpha_equiv :args (@t244 (@list @t235) (@list @t41))) % 49.20/49.48 (step @p218 :rule refl :args (@t238)) % 49.20/49.48 (step @p219 :rule nary_cong :premises (@p218 @p217) :args (@t245)) % 49.20/49.48 (step @p220 :rule quant-miniscope-or :args ((= @t243 @t245))) % 49.20/49.48 (step @p221 :rule trans :premises (@p220 @p219)) % 49.20/49.48 (step @p222 :rule symm :premises (@p221)) % 49.20/49.48 (step @p223 :rule cong :premises (@p222) :args ((forall @t31 (or @t238 @t246)))) % 49.20/49.48 (step @p224 :rule trans :premises (@p223 @p216)) % 49.20/49.48 (step @p225 :rule trans :premises (@p224 @p215)) % 49.20/49.48 (step @p226 :rule bool-impl-elim :args (@t30 @t246)) % 49.20/49.48 (step @p227 :rule cong :premises (@p226) :args ((forall @t31 (=> @t30 @t246)))) % 49.20/49.48 (step @p228 :rule trans :premises (@p227 @p225)) % 49.20/49.48 (step @p229 :rule bool-impl-elim :args (@t43 @t42)) % 49.20/49.48 (step @p230 :rule cong :premises (@p229) :args (@t45)) % 49.20/49.48 (step @p231 :rule refl :args (@t30)) % 49.20/49.48 (step @p232 :rule cong :premises (@p231 @p230) :args (@t46)) % 49.20/49.48 (step @p233 :rule cong :premises (@p232) :args (@t47)) % 49.20/49.48 (step @p234 :rule trans :premises (@p233 @p228)) % 49.20/49.48 (step @p235 :rule eq_resolve :premises (@p17 @p234)) % 49.20/49.48 (step @p236 :rule instantiate :premises (@p235) :args ((@list tptp.ty_2Erealax_2Ereal tptp.ty_2Erealax_2Ereal))) % 49.20/49.48 (step @p237 :rule cnf_or_pos :args (@t249)) % 49.20/49.48 (step @p238 :rule factoring :premises (@p237)) % 49.20/49.48 (step @p239 :rule reordering :premises (@p238) :args ((or @t248 @t247 (not @t249)))) % 49.20/49.48 (step @p240 :rule chain_m_resolution :premises (@p239 @p13 @p236) :args (@t247 (@list false false) (@list @t34 @t249))) % 49.20/49.48 (step @p241 :rule cnf_or_pos :args (@t252)) % 49.20/49.48 (step @p242 :rule reordering :premises (@p241) :args ((or @t166 @t251 @t250 (not @t252)))) % 49.20/49.48 (step @p243 :rule chain_m_resolution :premises (@p242 @p119 @p240 @p213) :args (@t250 @t186 (@list @t165 @t247 @t252))) % 49.20/49.48 (step @p244 :rule cnf_or_pos :args (@t255)) % 49.20/49.48 (step @p245 :rule reordering :premises (@p244) :args ((or @t164 @t254 @t253 (not @t255)))) % 49.20/49.48 (step @p246 :rule chain_m_resolution :premises (@p245 @p113 @p243 @p212) :args (@t253 @t186 (@list @t163 @t250 @t255))) % 49.20/49.48 (step @p247 :rule cnf_or_pos :args (@t259)) % 49.20/49.48 (step @p248 :rule reordering :premises (@p247) :args ((or @t258 @t256 @t257 (not @t259)))) % 49.20/49.48 (step @p249 :rule chain_m_resolution :premises (@p248 @p15 @p246 @p211) :args (@t256 @t186 (@list @t40 @t253 @t259))) % 49.20/49.48 (step @p250 :rule instantiate :premises (@p210) :args ((@list @t38 @t37 tptp.c_2Ereal__topology_2Ecball @t160))) % 49.20/49.48 (step @p251 :rule cnf_or_pos :args (@t262)) % 49.20/49.48 (step @p252 :rule reordering :premises (@p251) :args ((or @t261 @t260 @t257 (not @t262)))) % 49.20/49.48 (step @p253 :rule chain_m_resolution :premises (@p252 @p18 @p246 @p250) :args (@t260 @t186 (@list @t48 @t253 @t262))) % 49.20/49.48 (step @p254 :rule cnf_or_pos :args (@t267)) % 49.20/49.48 (step @p255 :rule reordering :premises (@p254) :args ((or @t162 @t263 @t264 @t266 @t265 (not @t267)))) % 49.20/49.48 (step @p256 false :rule chain_m_resolution :premises (@p255 @p253 @p249 @p188 @p146 @p122 @p85) :args (false (@list false false false false false true) (@list @t260 @t256 @t267 @t198 @t184 @t162))) % 49.20/49.48 ) % 49.20/49.48 % SZS output end Proof % 49.20/49.48 % cvc5 exiting %------------------------------------------------------------------------------