%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MED007+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:35:25 AM UTC 2026 % Result : Theorem 0.36s 0.78s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : MED007+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n016.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 09:41:24 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.78 % SZS status Theorem % 0.36/0.78 % SZS output start Proof % 0.36/0.78 ( % 0.36/0.78 (declare-sort $$unsorted 0) % 0.36/0.78 (declare-const tptp.s0 (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.s1 (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.s3 (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.qillt27 (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.drugbg (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.n0 $$unsorted) % 0.36/0.78 (declare-const tptp.bcapacityex (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.s2 (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.releaselg (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.bcapacityne (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.qilt27 (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.conditionnormo (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.bcapacitysn (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.drugsu (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.conditionhypo (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.conditionhyper (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.uptakepg (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.uptakelg (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.drugi (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.bsecretioni (-> $$unsorted Bool)) % 0.36/0.78 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.78 (define @t2 () (@var "Z" $$unsorted)) % 0.36/0.78 (define @t3 () (@var "Y" $$unsorted)) % 0.36/0.78 (define @t4 () (@var "X0" $$unsorted)) % 0.36/0.78 (define @t5 () (tptp.bcapacitysn @t4)) % 0.36/0.78 (define @t6 () (tptp.bcapacityex @t4)) % 0.36/0.78 (define @t7 () (tptp.bcapacityne @t4)) % 0.36/0.78 (define @t8 () (@list @t4)) % 0.36/0.78 (define @t9 () (not @t6)) % 0.36/0.78 (define @t10 () (not @t7)) % 0.36/0.78 (define @t11 () (not @t5)) % 0.36/0.78 (define @t12 () (tptp.conditionnormo @t4)) % 0.36/0.78 (define @t13 () (tptp.conditionhypo @t4)) % 0.36/0.78 (define @t14 () (tptp.conditionhyper @t4)) % 0.36/0.78 (define @t15 () (not @t13)) % 0.36/0.78 (define @t16 () (not @t14)) % 0.36/0.78 (define @t17 () (not @t12)) % 0.36/0.78 (define @t18 () (@var "X1" $$unsorted)) % 0.36/0.78 (define @t19 () (tptp.uptakepg @t18)) % 0.36/0.78 (define @t20 () (tptp.uptakelg @t18)) % 0.36/0.78 (define @t21 () (tptp.gt @t4 @t18)) % 0.36/0.78 (define @t22 () (not @t21)) % 0.36/0.78 (define @t23 () (@list @t18)) % 0.36/0.78 (define @t24 () (tptp.drugi @t18)) % 0.36/0.78 (define @t25 () (forall @t23 (=> @t22 @t24))) % 0.36/0.78 (define @t26 () (not (tptp.releaselg @t18))) % 0.36/0.78 (define @t27 () (@list @t4 @t18)) % 0.36/0.78 (define @t28 () (tptp.bsecretioni @t18)) % 0.36/0.78 (define @t29 () (forall @t23 (=> @t22 @t28))) % 0.36/0.78 (define @t30 () (and (forall @t23 (=> @t22 (tptp.drugsu @t18))) @t9)) % 0.36/0.78 (define @t31 () (forall @t23 (=> @t22 @t26))) % 0.36/0.78 (define @t32 () (tptp.drugbg @t18)) % 0.36/0.78 (define @t33 () (forall @t23 (=> @t22 @t32))) % 0.36/0.78 (define @t34 () (tptp.conditionnormo @t18)) % 0.36/0.78 (define @t35 () (forall @t23 (=> @t22 @t34))) % 0.36/0.78 (define @t36 () (tptp.conditionhyper @t18)) % 0.36/0.78 (define @t37 () (forall @t23 (=> @t21 @t36))) % 0.36/0.78 (define @t38 () (tptp.qilt27 @t4)) % 0.36/0.78 (define @t39 () (and @t29 @t5 @t38 @t37)) % 0.36/0.78 (define @t40 () (not @t38)) % 0.36/0.78 (define @t41 () (and @t31 @t5 @t40 @t37)) % 0.36/0.78 (define @t42 () (forall @t23 (=> @t22 @t19))) % 0.36/0.78 (define @t43 () (or @t31 @t42)) % 0.36/0.78 (define @t44 () (and @t43 @t7 @t29 @t37)) % 0.36/0.78 (define @t45 () (forall @t23 (=> @t22 @t20))) % 0.36/0.78 (define @t46 () (and @t45 @t42 @t6 @t37)) % 0.36/0.78 (define @t47 () (tptp.s3 @t4)) % 0.36/0.78 (define @t48 () (tptp.s2 @t4)) % 0.36/0.78 (define @t49 () (tptp.s1 @t4)) % 0.36/0.78 (define @t50 () (tptp.s0 @t4)) % 0.36/0.78 (define @t51 () (not @t49)) % 0.36/0.78 (define @t52 () (not @t50)) % 0.36/0.78 (define @t53 () (not @t48)) % 0.36/0.78 (define @t54 () (not @t47)) % 0.36/0.78 (define @t55 () (or @t39 @t41 @t44 @t46)) % 0.36/0.78 (define @t56 () (=> @t35 @t55)) % 0.36/0.78 (define @t57 () (forall @t8 @t56)) % 0.36/0.78 (define @t58 () (tptp.drugsu @t4)) % 0.36/0.78 (define @t59 () (tptp.drugbg @t4)) % 0.36/0.78 (define @t60 () (and @t49 @t40)) % 0.36/0.78 (define @t61 () (tptp.drugi @t4)) % 0.36/0.78 (define @t62 () (or @t60 @t48 @t47)) % 0.36/0.78 (define @t63 () (forall @t8 (=> @t59 @t62))) % 0.36/0.78 (define @t64 () (forall @t8 (=> @t61 @t47))) % 0.36/0.78 (define @t65 () (or @t45 @t42)) % 0.36/0.78 (define @t66 () (=> @t65 @t25)) % 0.36/0.78 (define @t67 () (forall @t8 @t66)) % 0.36/0.78 (define @t68 () (=> @t31 @t33)) % 0.36/0.78 (define @t69 () (forall @t8 @t68)) % 0.36/0.78 (define @t70 () (@var "X2" $$unsorted)) % 0.36/0.78 (define @t71 () (tptp.conditionhyper @t70)) % 0.36/0.78 (define @t72 () (tptp.gt @t18 @t70)) % 0.36/0.78 (define @t73 () (@list @t70)) % 0.36/0.78 (define @t74 () (forall @t73 (=> @t72 @t71))) % 0.36/0.78 (define @t75 () (not @t35)) % 0.36/0.78 (define @t76 () (tptp.bcapacityex @t18)) % 0.36/0.78 (define @t77 () (tptp.bcapacityne @t18)) % 0.36/0.78 (define @t78 () (or @t77 @t76)) % 0.36/0.78 (define @t79 () (tptp.s2 @t18)) % 0.36/0.78 (define @t80 () (and @t22 @t79 @t74 @t78)) % 0.36/0.78 (define @t81 () (exists @t23 @t80)) % 0.36/0.78 (define @t82 () (and @t49 @t75)) % 0.36/0.78 (define @t83 () (=> @t82 @t81)) % 0.36/0.78 (define @t84 () (forall @t8 @t83)) % 0.36/0.78 (define @t85 () (or @t7 @t6)) % 0.36/0.78 (define @t86 () (tptp.gt tptp.n0 @t4)) % 0.36/0.78 (define @t87 () (not @t86)) % 0.36/0.78 (define @t88 () (and @t87 @t48 @t37 @t85)) % 0.36/0.78 (define @t89 () (exists @t8 @t88)) % 0.36/0.78 (define @t90 () (tptp.qilt27 tptp.n0)) % 0.36/0.78 (define @t91 () (tptp.bcapacitysn tptp.n0)) % 0.36/0.78 (define @t92 () (not @t91)) % 0.36/0.78 (define @t93 () (forall @t8 (=> @t86 @t14))) % 0.36/0.78 (define @t94 () (tptp.s1 tptp.n0)) % 0.36/0.78 (define @t95 () (and @t94 @t93 @t92 @t90)) % 0.36/0.78 (define @t96 () (=> @t95 @t89)) % 0.36/0.78 (define @t97 () (not @t96)) % 0.36/0.78 (define @t98 () (@var "BOUND_VARIABLE_7928" $$unsorted)) % 0.36/0.78 (define @t99 () (tptp.drugi @t98)) % 0.36/0.78 (define @t100 () (tptp.gt @t4 @t98)) % 0.36/0.78 (define @t101 () (forall @t23 (or @t21 @t19))) % 0.36/0.78 (define @t102 () (forall @t23 (or @t21 @t20))) % 0.36/0.78 (define @t103 () (and (not @t102) (not @t101))) % 0.36/0.78 (define @t104 () (or @t100 @t99)) % 0.36/0.78 (define @t105 () (or @t103 @t104)) % 0.36/0.78 (define @t106 () (forall (@list @t4 @t98) @t105)) % 0.36/0.78 (define @t107 () (@list @t98)) % 0.36/0.78 (define @t108 () (forall @t107 @t105)) % 0.36/0.78 (define @t109 () (forall @t107 @t104)) % 0.36/0.78 (define @t110 () (@list @t18)) % 0.36/0.78 (define @t111 () (or @t103 @t109)) % 0.36/0.78 (define @t112 () (forall @t23 (or @t21 @t24))) % 0.36/0.78 (define @t113 () (or @t102 @t101)) % 0.36/0.78 (define @t114 () (not @t22)) % 0.36/0.78 (define @t115 () (@list tptp.n0 tptp.n0)) % 0.36/0.78 (define @t116 () (@list tptp.n0)) % 0.36/0.78 (define @t117 () (forall @t23 (or @t22 @t36))) % 0.36/0.78 (define @t118 () (not @t117)) % 0.36/0.78 (define @t119 () (not @t85)) % 0.36/0.78 (define @t120 () (not @t87)) % 0.36/0.78 (define @t121 () (or @t120 @t53 @t118 @t119)) % 0.36/0.78 (define @t122 () (and @t87 @t48 @t117 @t85)) % 0.36/0.78 (define @t123 () (forall @t8 (not @t122))) % 0.36/0.78 (define @t124 () (not @t123)) % 0.36/0.78 (define @t125 () (tptp.s3 tptp.n0)) % 0.36/0.78 (define @t126 () (not @t125)) % 0.36/0.78 (define @t127 () (not @t94)) % 0.36/0.78 (define @t128 () (or @t127 @t126)) % 0.36/0.78 (define @t129 () (@list false false)) % 0.36/0.78 (define @t130 () (tptp.drugi tptp.n0)) % 0.36/0.78 (define @t131 () (not @t130)) % 0.36/0.78 (define @t132 () (or @t131 @t125)) % 0.36/0.78 (define @t133 () (tptp.gt tptp.n0 tptp.n0)) % 0.36/0.78 (define @t134 () (tptp.gt tptp.n0 @t18)) % 0.36/0.78 (define @t135 () (forall @t23 (or @t134 @t19))) % 0.36/0.78 (define @t136 () (not @t135)) % 0.36/0.78 (define @t137 () (forall @t23 (or @t134 @t20))) % 0.36/0.78 (define @t138 () (and (not @t137) @t136)) % 0.36/0.78 (define @t139 () (or @t138 @t133 @t130)) % 0.36/0.78 (define @t140 () (@list true true false)) % 0.36/0.78 (define @t141 () (@list false)) % 0.36/0.78 (define @t142 () (@quantifiers_skolemize @t135 0)) % 0.36/0.78 (define @t143 () (tptp.uptakepg @t142)) % 0.36/0.78 (define @t144 () (tptp.gt tptp.n0 @t142)) % 0.36/0.78 (define @t145 () (or @t144 @t143)) % 0.36/0.78 (define @t146 () (@list true)) % 0.36/0.78 (define @t147 () (@list @t145)) % 0.36/0.78 (define @t148 () (not @t144)) % 0.36/0.78 (define @t149 () (@var "BOUND_VARIABLE_7961" $$unsorted)) % 0.36/0.78 (define @t150 () (tptp.drugbg @t149)) % 0.36/0.78 (define @t151 () (tptp.gt @t4 @t149)) % 0.36/0.78 (define @t152 () (forall @t23 (or @t21 @t26))) % 0.36/0.78 (define @t153 () (not @t152)) % 0.36/0.78 (define @t154 () (or @t151 @t150)) % 0.36/0.78 (define @t155 () (or @t153 @t154)) % 0.36/0.78 (define @t156 () (forall (@list @t4 @t149) @t155)) % 0.36/0.78 (define @t157 () (@list @t149)) % 0.36/0.78 (define @t158 () (forall @t157 @t155)) % 0.36/0.78 (define @t159 () (forall @t157 @t154)) % 0.36/0.78 (define @t160 () (or @t153 @t159)) % 0.36/0.78 (define @t161 () (forall @t23 (or @t21 @t32))) % 0.36/0.78 (define @t162 () (not @t59)) % 0.36/0.78 (define @t163 () (not @t90)) % 0.36/0.78 (define @t164 () (and @t94 @t163)) % 0.36/0.78 (define @t165 () (not @t164)) % 0.36/0.78 (define @t166 () (tptp.s2 tptp.n0)) % 0.36/0.78 (define @t167 () (not @t166)) % 0.36/0.78 (define @t168 () (or @t127 @t167)) % 0.36/0.78 (define @t169 () (tptp.drugbg tptp.n0)) % 0.36/0.78 (define @t170 () (not @t169)) % 0.36/0.78 (define @t171 () (or @t170 @t164 @t166 @t125)) % 0.36/0.78 (define @t172 () (forall @t23 (or @t134 @t26))) % 0.36/0.78 (define @t173 () (not @t172)) % 0.36/0.78 (define @t174 () (or @t173 @t133 @t169)) % 0.36/0.78 (define @t175 () (@quantifiers_skolemize @t172 0)) % 0.36/0.78 (define @t176 () (tptp.releaselg @t175)) % 0.36/0.78 (define @t177 () (not @t176)) % 0.36/0.78 (define @t178 () (tptp.gt tptp.n0 @t175)) % 0.36/0.78 (define @t179 () (or @t178 @t177)) % 0.36/0.78 (define @t180 () (@list @t179)) % 0.36/0.78 (define @t181 () (not @t178)) % 0.36/0.78 (define @t182 () (or @t178 @t177 @t144 @t143)) % 0.36/0.78 (define @t183 () (not @t182)) % 0.36/0.78 (define @t184 () (@var "BOUND_VARIABLE_7878" $$unsorted)) % 0.36/0.78 (define @t185 () (or (not (tptp.gt @t4 @t184)) (tptp.conditionhyper @t184))) % 0.36/0.78 (define @t186 () (@var "BOUND_VARIABLE_7872" $$unsorted)) % 0.36/0.78 (define @t187 () (or (tptp.gt @t4 @t186) (tptp.uptakepg @t186))) % 0.36/0.78 (define @t188 () (@var "BOUND_VARIABLE_7867" $$unsorted)) % 0.36/0.78 (define @t189 () (or (tptp.gt @t4 @t188) (tptp.uptakelg @t188))) % 0.36/0.78 (define @t190 () (and @t189 @t187 @t6 @t185)) % 0.36/0.78 (define @t191 () (@var "BOUND_VARIABLE_7860" $$unsorted)) % 0.36/0.78 (define @t192 () (or (not (tptp.gt @t4 @t191)) (tptp.conditionhyper @t191))) % 0.36/0.78 (define @t193 () (@var "BOUND_VARIABLE_7855" $$unsorted)) % 0.36/0.78 (define @t194 () (or (tptp.gt @t4 @t193) (tptp.bsecretioni @t193))) % 0.36/0.78 (define @t195 () (@var "BOUND_VARIABLE_7849" $$unsorted)) % 0.36/0.78 (define @t196 () (tptp.uptakepg @t195)) % 0.36/0.78 (define @t197 () (tptp.gt @t4 @t195)) % 0.36/0.78 (define @t198 () (@var "BOUND_VARIABLE_7843" $$unsorted)) % 0.36/0.78 (define @t199 () (not (tptp.releaselg @t198))) % 0.36/0.78 (define @t200 () (tptp.gt @t4 @t198)) % 0.36/0.78 (define @t201 () (or @t197 @t196)) % 0.36/0.78 (define @t202 () (or @t200 @t199)) % 0.36/0.78 (define @t203 () (or @t202 @t201)) % 0.36/0.78 (define @t204 () (and @t203 @t7 @t194 @t192)) % 0.36/0.78 (define @t205 () (@var "BOUND_VARIABLE_7836" $$unsorted)) % 0.36/0.78 (define @t206 () (or (not (tptp.gt @t4 @t205)) (tptp.conditionhyper @t205))) % 0.36/0.78 (define @t207 () (@var "BOUND_VARIABLE_7830" $$unsorted)) % 0.36/0.78 (define @t208 () (or (tptp.gt @t4 @t207) (not (tptp.releaselg @t207)))) % 0.36/0.78 (define @t209 () (and @t208 @t5 @t40 @t206)) % 0.36/0.78 (define @t210 () (@var "BOUND_VARIABLE_7823" $$unsorted)) % 0.36/0.78 (define @t211 () (or (not (tptp.gt @t4 @t210)) (tptp.conditionhyper @t210))) % 0.36/0.78 (define @t212 () (@var "BOUND_VARIABLE_7818" $$unsorted)) % 0.36/0.78 (define @t213 () (or (tptp.gt @t4 @t212) (tptp.bsecretioni @t212))) % 0.36/0.78 (define @t214 () (and @t213 @t5 @t38 @t211)) % 0.36/0.78 (define @t215 () (forall @t23 (or @t21 @t34))) % 0.36/0.78 (define @t216 () (not @t215)) % 0.36/0.78 (define @t217 () (or @t216 @t214 @t209 @t204 @t190)) % 0.36/0.78 (define @t218 () (forall (@list @t4 @t212 @t210 @t207 @t205 @t198 @t195 @t193 @t191 @t188 @t186 @t184) @t217)) % 0.36/0.78 (define @t219 () (forall (@list @t212 @t210 @t207 @t205 @t198 @t195 @t193 @t191 @t188 @t186 @t184) @t217)) % 0.36/0.78 (define @t220 () (forall (@list @t184) @t185)) % 0.36/0.78 (define @t221 () (@list @t188 @t186 @t184)) % 0.36/0.78 (define @t222 () (forall @t221 @t185)) % 0.36/0.78 (define @t223 () (forall @t221 @t6)) % 0.36/0.78 (define @t224 () (forall (@list @t186) @t187)) % 0.36/0.78 (define @t225 () (forall @t221 @t187)) % 0.36/0.78 (define @t226 () (forall (@list @t188) @t189)) % 0.36/0.78 (define @t227 () (forall @t221 @t189)) % 0.36/0.78 (define @t228 () (and @t227 @t225 @t223 @t222)) % 0.36/0.78 (define @t229 () (forall @t221 @t190)) % 0.36/0.78 (define @t230 () (forall (@list @t191) @t192)) % 0.36/0.78 (define @t231 () (@list @t198 @t195 @t193 @t191)) % 0.36/0.78 (define @t232 () (forall @t231 @t192)) % 0.36/0.78 (define @t233 () (forall (@list @t193) @t194)) % 0.36/0.78 (define @t234 () (forall @t231 @t194)) % 0.36/0.78 (define @t235 () (forall @t231 @t7)) % 0.36/0.78 (define @t236 () (forall (@list @t195) @t201)) % 0.36/0.78 (define @t237 () (forall (@list @t198) @t202)) % 0.36/0.78 (define @t238 () (or @t237 @t236)) % 0.36/0.78 (define @t239 () (forall (@list @t198 @t195) @t203)) % 0.36/0.78 (define @t240 () (forall @t231 @t203)) % 0.36/0.78 (define @t241 () (and @t240 @t235 @t234 @t232)) % 0.36/0.78 (define @t242 () (forall @t231 @t204)) % 0.36/0.78 (define @t243 () (forall (@list @t205) @t206)) % 0.36/0.78 (define @t244 () (@list @t207 @t205)) % 0.36/0.78 (define @t245 () (forall @t244 @t206)) % 0.36/0.78 (define @t246 () (forall @t244 @t40)) % 0.36/0.78 (define @t247 () (forall @t244 @t5)) % 0.36/0.78 (define @t248 () (forall (@list @t207) @t208)) % 0.36/0.78 (define @t249 () (forall @t244 @t208)) % 0.36/0.78 (define @t250 () (and @t249 @t247 @t246 @t245)) % 0.36/0.78 (define @t251 () (forall @t244 @t209)) % 0.36/0.78 (define @t252 () (forall (@list @t210) @t211)) % 0.36/0.78 (define @t253 () (@list @t212 @t210)) % 0.36/0.78 (define @t254 () (forall @t253 @t211)) % 0.36/0.78 (define @t255 () (forall @t253 @t38)) % 0.36/0.78 (define @t256 () (forall @t253 @t5)) % 0.36/0.78 (define @t257 () (forall (@list @t212) @t213)) % 0.36/0.78 (define @t258 () (forall @t253 @t213)) % 0.36/0.78 (define @t259 () (and @t258 @t256 @t255 @t254)) % 0.36/0.78 (define @t260 () (forall @t253 @t214)) % 0.36/0.78 (define @t261 () (or @t216 @t260 @t251 @t242 @t229)) % 0.36/0.78 (define @t262 () (and @t102 @t101 @t6 @t117)) % 0.36/0.78 (define @t263 () (forall @t23 (or @t21 @t28))) % 0.36/0.78 (define @t264 () (and (or @t152 @t101) @t7 @t263 @t117)) % 0.36/0.78 (define @t265 () (and @t152 @t5 @t40 @t117)) % 0.36/0.78 (define @t266 () (and @t263 @t5 @t38 @t117)) % 0.36/0.78 (define @t267 () (or @t216 @t266 @t265 @t264 @t262)) % 0.36/0.78 (define @t268 () (or @t266 @t265 @t264 @t262)) % 0.36/0.78 (define @t269 () (@quantifiers_skolemize @t137 0)) % 0.36/0.78 (define @t270 () (@quantifiers_skolemize (forall @t23 (or (tptp.gt @t269 @t18) @t28)) 0)) % 0.36/0.78 (define @t271 () (and (or @t144 (tptp.uptakelg @t142)) @t145 (tptp.bcapacityex tptp.n0) (or (not (tptp.gt tptp.n0 @t269)) (tptp.conditionhyper @t269)))) % 0.36/0.78 (define @t272 () (not @t271)) % 0.36/0.78 (define @t273 () (or @t181 (tptp.conditionhyper @t175))) % 0.36/0.78 (define @t274 () (and @t179 @t91 @t163 @t273)) % 0.36/0.78 (define @t275 () (not @t274)) % 0.36/0.78 (define @t276 () (and (or (tptp.gt tptp.n0 @t270) (tptp.bsecretioni @t270)) @t91 @t90 @t273)) % 0.36/0.78 (define @t277 () (not @t276)) % 0.36/0.78 (define @t278 () (forall @t23 (or @t134 @t34))) % 0.36/0.78 (define @t279 () (@quantifiers_skolemize @t278 0)) % 0.36/0.78 (define @t280 () (tptp.conditionnormo @t279)) % 0.36/0.78 (define @t281 () (tptp.gt tptp.n0 @t279)) % 0.36/0.78 (define @t282 () (or @t281 @t280)) % 0.36/0.78 (define @t283 () (@var "BOUND_VARIABLE_9920" $$unsorted)) % 0.36/0.78 (define @t284 () (@var "BOUND_VARIABLE_9921" $$unsorted)) % 0.36/0.78 (define @t285 () (@list @t283 @t284)) % 0.36/0.78 (define @t286 () (forall @t8 (or @t86 @t53 @t118 (and @t10 @t9)))) % 0.36/0.78 (define @t287 () (and (not @t77) (not @t76))) % 0.36/0.78 (define @t288 () (forall @t73 (or (not @t72) @t71))) % 0.36/0.78 (define @t289 () (not @t288)) % 0.36/0.78 (define @t290 () (not @t79)) % 0.36/0.78 (define @t291 () (forall @t23 (or @t134 @t290 @t289 @t287))) % 0.36/0.78 (define @t292 () (@var "BOUND_VARIABLE_8023" $$unsorted)) % 0.36/0.78 (define @t293 () (tptp.conditionnormo @t292)) % 0.36/0.78 (define @t294 () (tptp.gt @t4 @t292)) % 0.36/0.78 (define @t295 () (not (forall @t23 (or @t21 @t290 @t289 @t287)))) % 0.36/0.78 (define @t296 () (or @t294 @t293)) % 0.36/0.78 (define @t297 () (or @t51 @t296 @t295)) % 0.36/0.78 (define @t298 () (forall (@list @t4 @t292) @t297)) % 0.36/0.78 (define @t299 () (@list @t292)) % 0.36/0.78 (define @t300 () (forall @t299 @t297)) % 0.36/0.78 (define @t301 () (forall @t299 @t296)) % 0.36/0.78 (define @t302 () (or @t51 @t301 @t295)) % 0.36/0.78 (define @t303 () (or @t51 @t215 @t295)) % 0.36/0.78 (define @t304 () (and @t49 @t216)) % 0.36/0.78 (define @t305 () (not @t78)) % 0.36/0.78 (define @t306 () (or @t114 @t290 @t289 @t305)) % 0.36/0.78 (define @t307 () (and @t22 @t79 @t288 @t78)) % 0.36/0.78 (define @t308 () (forall @t23 (not @t307))) % 0.36/0.78 (define @t309 () (not @t308)) % 0.36/0.78 (define @t310 () (not @t291)) % 0.36/0.78 (define @t311 () (or @t127 @t310 @t281 @t280)) % 0.36/0.78 (define @t312 () (not @t282)) % 0.36/0.78 (define @t313 () (not @t278)) % 0.36/0.78 (define @t314 () (and @t182 (tptp.bcapacityne tptp.n0) (or @t144 (tptp.bsecretioni @t142)) (or @t148 (tptp.conditionhyper @t142)))) % 0.36/0.78 (define @t315 () (or @t313 @t276 @t274 @t314 @t271)) % 0.36/0.78 (assume @p1 (forall (@list @t1) (not (tptp.gt @t1 @t1)))) % 0.36/0.78 (assume @p2 (forall (@list @t1 @t3 @t2) (=> (and (tptp.gt @t1 @t3) (tptp.gt @t3 @t2)) (tptp.gt @t1 @t2)))) % 0.36/0.78 (assume @p3 (forall @t8 (or @t7 @t6 @t5))) % 0.36/0.78 (assume @p4 (forall @t8 (or @t10 @t9))) % 0.36/0.78 (assume @p5 (forall @t8 (or @t10 @t11))) % 0.36/0.78 (assume @p6 (forall @t8 (or @t9 @t11))) % 0.36/0.78 (assume @p7 (forall @t8 (or @t14 @t13 @t12))) % 0.36/0.78 (assume @p8 (forall @t8 (or @t16 @t15))) % 0.36/0.78 (assume @p9 (forall @t8 (or @t16 @t17))) % 0.36/0.78 (assume @p10 (forall @t8 (or @t15 @t17))) % 0.36/0.78 (assume @p11 (forall @t8 (=> @t25 (forall @t23 (=> @t22 (and @t20 @t19)))))) % 0.36/0.78 (assume @p12 (forall @t27 (=> @t22 (=> @t20 @t26)))) % 0.36/0.78 (assume @p13 (forall @t8 (=> @t30 @t29))) % 0.36/0.78 (assume @p14 (forall @t8 (=> @t33 @t31))) % 0.36/0.78 (assume @p15 (forall @t8 (=> @t39 @t35))) % 0.36/0.78 (assume @p16 (forall @t8 (=> @t41 @t35))) % 0.36/0.78 (assume @p17 (forall @t8 (=> @t44 @t35))) % 0.36/0.78 (assume @p18 (forall @t8 (=> @t46 (forall @t23 (=> @t22 (or @t34 (tptp.conditionhypo @t18))))))) % 0.36/0.78 (assume @p19 (forall @t8 (or @t50 @t49 @t48 @t47))) % 0.36/0.78 (assume @p20 (forall @t8 (or @t52 @t51))) % 0.36/0.78 (assume @p21 (forall @t8 (or @t52 @t53))) % 0.36/0.78 (assume @p22 (forall @t8 (or @t52 @t54))) % 0.36/0.78 (assume @p23 (forall @t8 (or @t51 @t53))) % 0.36/0.78 (assume @p24 (forall @t8 (or @t51 @t54))) % 0.36/0.78 (assume @p25 (forall @t8 (or @t53 @t54))) % 0.36/0.78 (assume @p26 @t57) % 0.36/0.78 (assume @p27 (forall @t8 (=> (and @t49 @t38) @t58))) % 0.36/0.78 (assume @p28 (forall @t8 (=> @t60 @t59))) % 0.36/0.78 (assume @p29 (forall @t8 (=> @t48 (and @t59 @t58)))) % 0.36/0.78 (assume @p30 (forall @t8 (=> @t47 (or (and @t61 (or @t58 @t59)) @t61)))) % 0.36/0.78 (assume @p31 @t63) % 0.36/0.78 (assume @p32 (forall @t8 (=> @t58 (or (and @t49 (tptp.qillt27 @t4)) @t48 @t47)))) % 0.36/0.78 (assume @p33 @t64) % 0.36/0.78 (assume @p34 @t67) % 0.36/0.78 (assume @p35 (forall @t27 (=> @t22 (=> @t26 @t20)))) % 0.36/0.78 (assume @p36 (forall @t8 (=> @t29 @t30))) % 0.36/0.78 (assume @p37 @t69) % 0.36/0.78 (assume @p38 (forall @t8 (=> (and @t50 @t75) (exists @t23 (and @t22 (tptp.s1 @t18) @t74))))) % 0.36/0.78 (assume @p39 @t84) % 0.36/0.78 (assume @p40 (forall @t8 (=> (and @t48 @t75) (exists @t23 (and @t22 (tptp.s3 @t18) @t74 @t76))))) % 0.36/0.78 (assume @p41 @t97) % 0.36/0.78 (assume @p42 true) % 0.36/0.78 (step @p43 :rule aci_norm :args ((= @t105 (or @t103 @t100 @t99)))) % 0.36/0.78 (step @p44 :rule cong :premises (@p43) :args (@t106)) % 0.36/0.78 (step @p45 :rule quant-merge-prenex :args ((= (forall @t8 @t108) @t106))) % 0.36/0.78 (step @p46 :rule alpha_equiv :args (@t109 (@list @t98) @t110)) % 0.36/0.78 (step @p47 :rule refl :args (@t103)) % 0.36/0.78 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t111)) % 0.36/0.78 (step @p49 :rule quant-miniscope-or :args ((= @t108 @t111))) % 0.36/0.78 (step @p50 :rule trans :premises (@p49 @p48)) % 0.36/0.78 (step @p51 :rule symm :premises (@p50)) % 0.36/0.78 (step @p52 :rule cong :premises (@p51) :args ((forall @t8 (or @t103 @t112)))) % 0.36/0.78 (step @p53 :rule trans :premises (@p52 @p45)) % 0.36/0.78 (step @p54 :rule trans :premises (@p53 @p44)) % 0.36/0.78 (step @p55 :rule refl :args (@t112)) % 0.36/0.78 (step @p56 :rule bool-or-de-morgan :args (@t102 @t101 false)) % 0.36/0.78 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t113) @t112))) % 0.36/0.78 (step @p58 :rule bool-impl-elim :args (@t113 @t112)) % 0.36/0.78 (step @p59 :rule trans :premises (@p58 @p57)) % 0.36/0.78 (step @p60 :rule cong :premises (@p59) :args ((forall @t8 (=> @t113 @t112)))) % 0.36/0.78 (step @p61 :rule trans :premises (@p60 @p54)) % 0.36/0.78 (step @p62 :rule refl :args (@t24)) % 0.36/0.78 (step @p63 :rule bool-double-not-elim :args (@t21)) % 0.36/0.78 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t114 @t24))) % 0.36/0.78 (step @p65 :rule bool-impl-elim :args (@t22 @t24)) % 0.36/0.78 (step @p66 :rule trans :premises (@p65 @p64)) % 0.36/0.78 (step @p67 :rule cong :premises (@p66) :args (@t25)) % 0.36/0.78 (step @p68 :rule refl :args (@t19)) % 0.36/0.78 (step @p69 :rule nary_cong :premises (@p63 @p68) :args ((or @t114 @t19))) % 0.36/0.78 (step @p70 :rule bool-impl-elim :args (@t22 @t19)) % 0.36/0.78 (step @p71 :rule trans :premises (@p70 @p69)) % 0.36/0.78 (step @p72 :rule cong :premises (@p71) :args (@t42)) % 0.36/0.78 (step @p73 :rule refl :args (@t20)) % 0.36/0.78 (step @p74 :rule nary_cong :premises (@p63 @p73) :args ((or @t114 @t20))) % 0.36/0.78 (step @p75 :rule bool-impl-elim :args (@t22 @t20)) % 0.36/0.78 (step @p76 :rule trans :premises (@p75 @p74)) % 0.36/0.78 (step @p77 :rule cong :premises (@p76) :args (@t45)) % 0.36/0.78 (step @p78 :rule nary_cong :premises (@p77 @p72) :args (@t65)) % 0.36/0.78 (step @p79 :rule cong :premises (@p78 @p67) :args (@t66)) % 0.36/0.78 (step @p80 :rule cong :premises (@p79) :args (@t67)) % 0.36/0.78 (step @p81 :rule trans :premises (@p80 @p61)) % 0.36/0.78 (step @p82 :rule eq_resolve :premises (@p34 @p81)) % 0.36/0.78 (step @p83 :rule instantiate :premises (@p82) :args (@t115)) % 0.36/0.78 (step @p84 :rule instantiate :premises (@p1) :args (@t116)) % 0.36/0.78 (step @p85 :rule bool-impl-elim :args (@t61 @t47)) % 0.36/0.78 (step @p86 :rule cong :premises (@p85) :args (@t64)) % 0.36/0.78 (step @p87 :rule eq_resolve :premises (@p33 @p86)) % 0.36/0.78 (step @p88 :rule instantiate :premises (@p87) :args (@t116)) % 0.36/0.78 (step @p89 :rule instantiate :premises (@p24) :args (@t116)) % 0.36/0.78 (step @p90 :rule bool-or-de-morgan :args (@t7 @t6 false)) % 0.36/0.78 (step @p91 :rule refl :args (@t118)) % 0.36/0.78 (step @p92 :rule refl :args (@t53)) % 0.36/0.78 (step @p93 :rule refl :args (@t86)) % 0.36/0.78 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91 @p90) :args ((or @t86 @t53 @t118 @t119))) % 0.36/0.78 (step @p95 :rule refl :args (@t119)) % 0.36/0.78 (step @p96 :rule bool-double-not-elim :args (@t86)) % 0.36/0.78 (step @p97 :rule nary_cong :premises (@p96 @p92 @p91 @p95) :args (@t121)) % 0.36/0.78 (step @p98 :rule aci_norm :args ((= (or @t120 (or @t53 (or @t118 @t119))) @t121))) % 0.36/0.78 (step @p99 :rule trans :premises (@p98 @p97)) % 0.36/0.78 (step @p100 :rule bool-and-de-morgan :args (@t117 @t85 true)) % 0.36/0.78 (step @p101 :rule nary_cong :premises (@p92 @p100) :args ((or @t53 (not (and @t117 @t85))))) % 0.36/0.78 (step @p102 :rule bool-and-de-morgan :args (@t48 @t117 (and @t85))) % 0.36/0.78 (step @p103 :rule trans :premises (@p102 @p101)) % 0.36/0.78 (step @p104 :rule refl :args (@t120)) % 0.36/0.78 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t120 (not (and @t48 @t117 @t85))))) % 0.36/0.78 (step @p106 :rule bool-and-de-morgan :args (@t87 @t48 (and @t117 @t85))) % 0.36/0.78 (step @p107 :rule trans :premises (@p106 @p105)) % 0.36/0.78 (step @p108 :rule trans :premises (@p107 @p99)) % 0.36/0.78 (step @p109 :rule trans :premises (@p108 @p94)) % 0.36/0.78 (step @p110 :rule cong :premises (@p109) :args (@t123)) % 0.36/0.78 (step @p111 :rule cong :premises (@p110) :args (@t124)) % 0.36/0.78 (step @p112 :rule exists-elim :args ((= (exists @t8 @t122) @t124))) % 0.36/0.78 (step @p113 :rule trans :premises (@p112 @p111)) % 0.36/0.78 (step @p114 :rule refl :args (@t85)) % 0.36/0.78 (step @p115 :rule bool-impl-elim :args (@t21 @t36)) % 0.36/0.78 (step @p116 :rule cong :premises (@p115) :args (@t37)) % 0.36/0.78 (step @p117 :rule refl :args (@t48)) % 0.36/0.78 (step @p118 :rule refl :args (@t87)) % 0.36/0.78 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116 @p114) :args (@t88)) % 0.36/0.78 (step @p120 :rule cong :premises (@p119) :args (@t89)) % 0.36/0.78 (step @p121 :rule trans :premises (@p120 @p113)) % 0.36/0.78 (step @p122 :rule refl :args (@t90)) % 0.36/0.78 (step @p123 :rule refl :args (@t92)) % 0.36/0.78 (step @p124 :rule bool-impl-elim :args (@t86 @t14)) % 0.36/0.78 (step @p125 :rule cong :premises (@p124) :args (@t93)) % 0.36/0.78 (step @p126 :rule refl :args (@t94)) % 0.36/0.78 (step @p127 :rule nary_cong :premises (@p126 @p125 @p123 @p122) :args (@t95)) % 0.36/0.78 (step @p128 :rule cong :premises (@p127 @p121) :args (@t96)) % 0.36/0.78 (step @p129 :rule cong :premises (@p128) :args (@t97)) % 0.36/0.78 (step @p130 :rule eq_resolve :premises (@p41 @p129)) % 0.36/0.78 (step @p131 :rule not_implies_elim1 :premises (@p130)) % 0.36/0.78 (step @p132 :rule and_elim :premises (@p131) :args (0)) % 0.36/0.78 (step @p133 :rule cnf_or_pos :args (@t128)) % 0.36/0.78 (step @p134 :rule reordering :premises (@p133) :args ((or @t127 @t126 (not @t128)))) % 0.36/0.78 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p89) :args (@t126 @t129 (@list @t94 @t128))) % 0.36/0.78 (step @p136 :rule cnf_or_pos :args (@t132)) % 0.36/0.78 (step @p137 :rule reordering :premises (@p136) :args ((or @t125 @t131 (not @t132)))) % 0.36/0.78 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p88) :args (@t131 (@list true false) (@list @t125 @t132))) % 0.36/0.78 (step @p139 :rule cnf_or_pos :args (@t139)) % 0.36/0.78 (step @p140 :rule reordering :premises (@p139) :args ((or @t130 @t133 @t138 (not @t139)))) % 0.36/0.78 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p84 @p83) :args (@t138 @t140 (@list @t130 @t133 @t139))) % 0.36/0.78 (step @p142 :rule cnf_and_pos :args (@t138 1)) % 0.36/0.78 (step @p143 :rule reordering :premises (@p142) :args ((or @t136 (not @t138)))) % 0.36/0.78 (step @p144 :rule chain_m_resolution :premises (@p143 @p141) :args (@t136 @t141 (@list @t138))) % 0.36/0.78 (step @p145 :rule skolemize :premises (@p144)) % 0.36/0.78 (step @p146 :rule cnf_or_neg :args (@t145 1)) % 0.36/0.78 (step @p147 :rule chain_m_resolution :premises (@p146 @p145) :args ((not @t143) @t146 @t147)) % 0.36/0.78 (step @p148 :rule cnf_or_neg :args (@t145 0)) % 0.36/0.78 (step @p149 :rule chain_m_resolution :premises (@p148 @p145) :args (@t148 @t146 @t147)) % 0.36/0.78 (step @p150 :rule aci_norm :args ((= @t155 (or @t153 @t151 @t150)))) % 0.36/0.78 (step @p151 :rule cong :premises (@p150) :args (@t156)) % 0.36/0.78 (step @p152 :rule quant-merge-prenex :args ((= (forall @t8 @t158) @t156))) % 0.36/0.78 (step @p153 :rule alpha_equiv :args (@t159 (@list @t149) @t110)) % 0.36/0.78 (step @p154 :rule refl :args (@t153)) % 0.36/0.78 (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t160)) % 0.36/0.78 (step @p156 :rule quant-miniscope-or :args ((= @t158 @t160))) % 0.36/0.78 (step @p157 :rule trans :premises (@p156 @p155)) % 0.36/0.78 (step @p158 :rule symm :premises (@p157)) % 0.36/0.78 (step @p159 :rule cong :premises (@p158) :args ((forall @t8 (or @t153 @t161)))) % 0.36/0.78 (step @p160 :rule trans :premises (@p159 @p152)) % 0.36/0.78 (step @p161 :rule trans :premises (@p160 @p151)) % 0.36/0.78 (step @p162 :rule bool-impl-elim :args (@t152 @t161)) % 0.36/0.78 (step @p163 :rule cong :premises (@p162) :args ((forall @t8 (=> @t152 @t161)))) % 0.36/0.78 (step @p164 :rule trans :premises (@p163 @p161)) % 0.36/0.78 (step @p165 :rule refl :args (@t32)) % 0.36/0.78 (step @p166 :rule nary_cong :premises (@p63 @p165) :args ((or @t114 @t32))) % 0.36/0.78 (step @p167 :rule bool-impl-elim :args (@t22 @t32)) % 0.36/0.78 (step @p168 :rule trans :premises (@p167 @p166)) % 0.36/0.78 (step @p169 :rule cong :premises (@p168) :args (@t33)) % 0.36/0.78 (step @p170 :rule refl :args (@t26)) % 0.36/0.78 (step @p171 :rule nary_cong :premises (@p63 @p170) :args ((or @t114 @t26))) % 0.36/0.78 (step @p172 :rule bool-impl-elim :args (@t22 @t26)) % 0.36/0.78 (step @p173 :rule trans :premises (@p172 @p171)) % 0.36/0.78 (step @p174 :rule cong :premises (@p173) :args (@t31)) % 0.36/0.78 (step @p175 :rule cong :premises (@p174 @p169) :args (@t68)) % 0.36/0.78 (step @p176 :rule cong :premises (@p175) :args (@t69)) % 0.36/0.78 (step @p177 :rule trans :premises (@p176 @p164)) % 0.36/0.78 (step @p178 :rule eq_resolve :premises (@p37 @p177)) % 0.36/0.78 (step @p179 :rule instantiate :premises (@p178) :args (@t115)) % 0.36/0.78 (step @p180 :rule aci_norm :args ((= (or @t162 @t62) (or @t162 @t60 @t48 @t47)))) % 0.36/0.78 (step @p181 :rule bool-impl-elim :args (@t59 @t62)) % 0.36/0.78 (step @p182 :rule trans :premises (@p181 @p180)) % 0.36/0.78 (step @p183 :rule cong :premises (@p182) :args (@t63)) % 0.36/0.78 (step @p184 :rule eq_resolve :premises (@p31 @p183)) % 0.36/0.78 (step @p185 :rule instantiate :premises (@p184) :args (@t116)) % 0.36/0.78 (step @p186 :rule and_elim :premises (@p131) :args (3)) % 0.36/0.78 (step @p187 :rule cnf_and_pos :args (@t164 1)) % 0.36/0.78 (step @p188 :rule reordering :premises (@p187) :args ((or @t163 @t165))) % 0.36/0.78 (step @p189 :rule chain_m_resolution :premises (@p188 @p186) :args (@t165 @t141 (@list @t90))) % 0.36/0.78 (step @p190 :rule instantiate :premises (@p23) :args (@t116)) % 0.36/0.78 (step @p191 :rule cnf_or_pos :args (@t168)) % 0.36/0.78 (step @p192 :rule reordering :premises (@p191) :args ((or @t127 @t167 (not @t168)))) % 0.36/0.78 (step @p193 :rule chain_m_resolution :premises (@p192 @p132 @p190) :args (@t167 @t129 (@list @t94 @t168))) % 0.36/0.78 (step @p194 :rule cnf_or_pos :args (@t171)) % 0.36/0.78 (step @p195 :rule reordering :premises (@p194) :args ((or @t166 @t125 @t170 @t164 (not @t171)))) % 0.36/0.78 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p135 @p189 @p185) :args (@t170 (@list true true true false) (@list @t166 @t125 @t164 @t171))) % 0.36/0.78 (step @p197 :rule cnf_or_pos :args (@t174)) % 0.36/0.78 (step @p198 :rule reordering :premises (@p197) :args ((or @t169 @t133 @t173 (not @t174)))) % 0.36/0.78 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p84 @p179) :args (@t173 @t140 (@list @t169 @t133 @t174))) % 0.36/0.78 (step @p200 :rule skolemize :premises (@p199)) % 0.36/0.78 (step @p201 :rule bool-double-not-elim :args (@t176)) % 0.36/0.78 (step @p202 :rule refl :args (@t179)) % 0.36/0.78 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or @t179 (not @t177)))) % 0.36/0.78 (step @p204 :rule cnf_or_neg :args (@t179 1)) % 0.36/0.78 (step @p205 :rule eq_resolve :premises (@p204 @p203)) % 0.36/0.78 (step @p206 :rule reordering :premises (@p205) :args ((or @t176 @t179))) % 0.36/0.78 (step @p207 :rule chain_m_resolution :premises (@p206 @p200) :args (@t176 @t146 @t180)) % 0.36/0.78 (step @p208 :rule cnf_or_neg :args (@t179 0)) % 0.36/0.78 (step @p209 :rule chain_m_resolution :premises (@p208 @p200) :args (@t181 @t146 @t180)) % 0.36/0.78 (step @p210 :rule cnf_or_pos :args (@t182)) % 0.36/0.78 (step @p211 :rule reordering :premises (@p210) :args ((or @t178 @t177 @t144 @t143 @t183))) % 0.36/0.78 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p207 @p149 @p147) :args (@t183 (@list true false true true) (@list @t178 @t176 @t144 @t143))) % 0.36/0.78 (step @p213 :rule refl :args (@t190)) % 0.36/0.78 (step @p214 :rule refl :args (@t192)) % 0.36/0.78 (step @p215 :rule refl :args (@t194)) % 0.36/0.78 (step @p216 :rule refl :args (@t7)) % 0.36/0.78 (step @p217 :rule aci_norm :args ((= @t203 (or @t200 @t199 @t197 @t196)))) % 0.36/0.78 (step @p218 :rule nary_cong :premises (@p217 @p216 @p215 @p214) :args (@t204)) % 0.36/0.78 (step @p219 :rule refl :args (@t209)) % 0.36/0.78 (step @p220 :rule refl :args (@t214)) % 0.36/0.78 (step @p221 :rule refl :args (@t216)) % 0.36/0.78 (step @p222 :rule nary_cong :premises (@p221 @p220 @p219 @p218 @p213) :args (@t217)) % 0.36/0.78 (step @p223 :rule cong :premises (@p222) :args (@t218)) % 0.36/0.78 (step @p224 :rule quant-merge-prenex :args ((= (forall @t8 @t219) @t218))) % 0.36/0.78 (step @p225 :rule alpha_equiv :args (@t220 (@list @t184) @t110)) % 0.36/0.78 (step @p226 :rule quant-unused-vars :args ((= @t222 @t220))) % 0.36/0.78 (step @p227 :rule trans :premises (@p226 @p225)) % 0.36/0.78 (step @p228 :rule quant-unused-vars :args ((= @t223 @t6))) % 0.36/0.78 (step @p229 :rule alpha_equiv :args (@t224 (@list @t186) @t110)) % 0.36/0.78 (step @p230 :rule quant-unused-vars :args ((= @t225 @t224))) % 0.36/0.78 (step @p231 :rule trans :premises (@p230 @p229)) % 0.36/0.78 (step @p232 :rule alpha_equiv :args (@t226 (@list @t188) @t110)) % 0.36/0.78 (step @p233 :rule quant-unused-vars :args ((= @t227 @t226))) % 0.36/0.78 (step @p234 :rule trans :premises (@p233 @p232)) % 0.36/0.78 (step @p235 :rule nary_cong :premises (@p234 @p231 @p228 @p227) :args (@t228)) % 0.36/0.78 (step @p236 :rule quant-miniscope-and :args ((= @t229 @t228))) % 0.36/0.78 (step @p237 :rule trans :premises (@p236 @p235)) % 0.36/0.78 (step @p238 :rule alpha_equiv :args (@t230 (@list @t191) @t110)) % 0.36/0.78 (step @p239 :rule quant-unused-vars :args ((= @t232 @t230))) % 0.36/0.78 (step @p240 :rule trans :premises (@p239 @p238)) % 0.36/0.78 (step @p241 :rule alpha_equiv :args (@t233 (@list @t193) @t110)) % 0.36/0.78 (step @p242 :rule quant-unused-vars :args ((= @t234 @t233))) % 0.36/0.78 (step @p243 :rule trans :premises (@p242 @p241)) % 0.36/0.78 (step @p244 :rule quant-unused-vars :args ((= @t235 @t7))) % 0.36/0.78 (step @p245 :rule alpha_equiv :args (@t236 (@list @t195) @t110)) % 0.36/0.78 (step @p246 :rule alpha_equiv :args (@t237 (@list @t198) @t110)) % 0.36/0.78 (step @p247 :rule nary_cong :premises (@p246 @p245) :args (@t238)) % 0.36/0.78 (step @p248 :rule quant-miniscope-or :args ((= @t239 @t238))) % 0.36/0.78 (step @p249 :rule quant-unused-vars :args ((= @t240 @t239))) % 0.36/0.78 (step @p250 :rule trans :premises (@p249 @p248)) % 0.36/0.78 (step @p251 :rule trans :premises (@p250 @p247)) % 0.36/0.78 (step @p252 :rule nary_cong :premises (@p251 @p244 @p243 @p240) :args (@t241)) % 0.36/0.78 (step @p253 :rule quant-miniscope-and :args ((= @t242 @t241))) % 0.36/0.78 (step @p254 :rule trans :premises (@p253 @p252)) % 0.36/0.78 (step @p255 :rule alpha_equiv :args (@t243 (@list @t205) @t110)) % 0.36/0.78 (step @p256 :rule quant-unused-vars :args ((= @t245 @t243))) % 0.36/0.78 (step @p257 :rule trans :premises (@p256 @p255)) % 0.36/0.78 (step @p258 :rule quant-unused-vars :args ((= @t246 @t40))) % 0.36/0.78 (step @p259 :rule quant-unused-vars :args ((= @t247 @t5))) % 0.36/0.78 (step @p260 :rule alpha_equiv :args (@t248 (@list @t207) @t110)) % 0.36/0.78 (step @p261 :rule quant-unused-vars :args ((= @t249 @t248))) % 0.36/0.78 (step @p262 :rule trans :premises (@p261 @p260)) % 0.36/0.78 (step @p263 :rule nary_cong :premises (@p262 @p259 @p258 @p257) :args (@t250)) % 0.36/0.78 (step @p264 :rule quant-miniscope-and :args ((= @t251 @t250))) % 0.36/0.78 (step @p265 :rule trans :premises (@p264 @p263)) % 0.36/0.78 (step @p266 :rule alpha_equiv :args (@t252 (@list @t210) @t110)) % 0.36/0.78 (step @p267 :rule quant-unused-vars :args ((= @t254 @t252))) % 0.36/0.78 (step @p268 :rule trans :premises (@p267 @p266)) % 0.36/0.78 (step @p269 :rule quant-unused-vars :args ((= @t255 @t38))) % 0.36/0.78 (step @p270 :rule quant-unused-vars :args ((= @t256 @t5))) % 0.36/0.78 (step @p271 :rule alpha_equiv :args (@t257 (@list @t212) @t110)) % 0.36/0.78 (step @p272 :rule quant-unused-vars :args ((= @t258 @t257))) % 0.36/0.78 (step @p273 :rule trans :premises (@p272 @p271)) % 0.36/0.78 (step @p274 :rule nary_cong :premises (@p273 @p270 @p269 @p268) :args (@t259)) % 0.36/0.78 (step @p275 :rule quant-miniscope-and :args ((= @t260 @t259))) % 0.36/0.78 (step @p276 :rule trans :premises (@p275 @p274)) % 0.36/0.78 (step @p277 :rule refl :args (@t216)) % 0.36/0.78 (step @p278 :rule nary_cong :premises (@p277 @p276 @p265 @p254 @p237) :args (@t261)) % 0.36/0.78 (step @p279 :rule quant-miniscope-or :args ((= @t219 @t261))) % 0.36/0.78 (step @p280 :rule trans :premises (@p279 @p278)) % 0.36/0.78 (step @p281 :rule symm :premises (@p280)) % 0.36/0.78 (step @p282 :rule cong :premises (@p281) :args ((forall @t8 @t267))) % 0.36/0.78 (step @p283 :rule trans :premises (@p282 @p224)) % 0.36/0.78 (step @p284 :rule trans :premises (@p283 @p223)) % 0.36/0.78 (step @p285 :rule aci_norm :args ((= (or @t216 @t268) @t267))) % 0.36/0.78 (step @p286 :rule bool-impl-elim :args (@t215 @t268)) % 0.36/0.78 (step @p287 :rule trans :premises (@p286 @p285)) % 0.36/0.78 (step @p288 :rule cong :premises (@p287) :args ((forall @t8 (=> @t215 @t268)))) % 0.36/0.78 (step @p289 :rule trans :premises (@p288 @p284)) % 0.36/0.78 (step @p290 :rule refl :args (@t6)) % 0.36/0.78 (step @p291 :rule nary_cong :premises (@p77 @p72 @p290 @p116) :args (@t46)) % 0.36/0.78 (step @p292 :rule refl :args (@t28)) % 0.36/0.78 (step @p293 :rule nary_cong :premises (@p63 @p292) :args ((or @t114 @t28))) % 0.36/0.78 (step @p294 :rule bool-impl-elim :args (@t22 @t28)) % 0.36/0.78 (step @p295 :rule trans :premises (@p294 @p293)) % 0.36/0.78 (step @p296 :rule cong :premises (@p295) :args (@t29)) % 0.36/0.78 (step @p297 :rule nary_cong :premises (@p174 @p72) :args (@t43)) % 0.36/0.78 (step @p298 :rule nary_cong :premises (@p297 @p216 @p296 @p116) :args (@t44)) % 0.36/0.78 (step @p299 :rule refl :args (@t40)) % 0.36/0.78 (step @p300 :rule refl :args (@t5)) % 0.36/0.78 (step @p301 :rule nary_cong :premises (@p174 @p300 @p299 @p116) :args (@t41)) % 0.36/0.78 (step @p302 :rule refl :args (@t38)) % 0.36/0.78 (step @p303 :rule nary_cong :premises (@p296 @p300 @p302 @p116) :args (@t39)) % 0.36/0.78 (step @p304 :rule nary_cong :premises (@p303 @p301 @p298 @p291) :args (@t55)) % 0.36/0.78 (step @p305 :rule refl :args (@t34)) % 0.36/0.78 (step @p306 :rule nary_cong :premises (@p63 @p305) :args ((or @t114 @t34))) % 0.36/0.78 (step @p307 :rule bool-impl-elim :args (@t22 @t34)) % 0.36/0.78 (step @p308 :rule trans :premises (@p307 @p306)) % 0.36/0.78 (step @p309 :rule cong :premises (@p308) :args (@t35)) % 0.36/0.78 (step @p310 :rule cong :premises (@p309 @p304) :args (@t56)) % 0.36/0.78 (step @p311 :rule cong :premises (@p310) :args (@t57)) % 0.36/0.78 (step @p312 :rule trans :premises (@p311 @p289)) % 0.36/0.78 (step @p313 :rule eq_resolve :premises (@p26 @p312)) % 0.36/0.78 (step @p314 :rule instantiate :premises (@p313) :args ((@list tptp.n0 @t270 @t175 @t175 @t175 @t175 @t142 @t142 @t142 @t142 @t142 @t269))) % 0.36/0.78 (step @p315 :rule cnf_and_pos :args (@t271 1)) % 0.36/0.78 (step @p316 :rule reordering :premises (@p315) :args ((or @t145 @t272))) % 0.36/0.78 (step @p317 :rule chain_m_resolution :premises (@p316 @p145) :args (@t272 @t146 @t147)) % 0.36/0.78 (step @p318 :rule cnf_and_pos :args (@t274 0)) % 0.36/0.78 (step @p319 :rule reordering :premises (@p318) :args ((or @t179 @t275))) % 0.36/0.78 (step @p320 :rule chain_m_resolution :premises (@p319 @p200) :args (@t275 @t146 @t180)) % 0.36/0.78 (step @p321 :rule and_elim :premises (@p131) :args (2)) % 0.36/0.78 (step @p322 :rule cnf_and_pos :args (@t276 1)) % 0.36/0.78 (step @p323 :rule reordering :premises (@p322) :args ((or @t91 @t277))) % 0.36/0.78 (step @p324 :rule chain_m_resolution :premises (@p323 @p321) :args (@t277 @t146 (@list @t91))) % 0.36/0.78 (step @p325 :rule cnf_or_neg :args (@t282 0)) % 0.36/0.78 (step @p326 :rule cnf_or_neg :args (@t282 1)) % 0.36/0.78 (step @p327 :rule not_implies_elim2 :premises (@p130)) % 0.36/0.78 (step @p328 :rule not_not_elim :premises (@p327)) % 0.36/0.78 (step @p329 :rule alpha_equiv :args ((forall (@list @t283) (or (tptp.gt tptp.n0 @t283) (not (tptp.s2 @t283)) (not (forall (@list @t284) (or (not (tptp.gt @t283 @t284)) (tptp.conditionhyper @t284)))) (and (not (tptp.bcapacityne @t283)) (not (tptp.bcapacityex @t283))))) @t285 (@list @t18 @t70))) % 0.36/0.78 (step @p330 :rule alpha_equiv :args (@t286 (@list @t4 @t18) @t285)) % 0.36/0.78 (step @p331 :rule trans :premises (@p330 @p329)) % 0.36/0.78 (step @p332 :rule equiv_elim1 :premises (@p331)) % 0.36/0.78 (step @p333 :rule chain_m_resolution :premises (@p332 @p328) :args (@t291 @t141 (@list @t286))) % 0.36/0.78 (step @p334 :rule aci_norm :args ((= @t297 (or @t51 @t295 @t294 @t293)))) % 0.36/0.78 (step @p335 :rule cong :premises (@p334) :args (@t298)) % 0.36/0.78 (step @p336 :rule quant-merge-prenex :args ((= (forall @t8 @t300) @t298))) % 0.36/0.78 (step @p337 :rule refl :args (@t295)) % 0.36/0.78 (step @p338 :rule alpha_equiv :args (@t301 (@list @t292) @t110)) % 0.36/0.78 (step @p339 :rule refl :args (@t51)) % 0.36/0.78 (step @p340 :rule nary_cong :premises (@p339 @p338 @p337) :args (@t302)) % 0.36/0.78 (step @p341 :rule quant-miniscope-or :args ((= @t300 @t302))) % 0.36/0.78 (step @p342 :rule trans :premises (@p341 @p340)) % 0.36/0.78 (step @p343 :rule symm :premises (@p342)) % 0.36/0.78 (step @p344 :rule cong :premises (@p343) :args ((forall @t8 @t303))) % 0.36/0.78 (step @p345 :rule trans :premises (@p344 @p336)) % 0.36/0.78 (step @p346 :rule trans :premises (@p345 @p335)) % 0.36/0.78 (step @p347 :rule aci_norm :args ((= (or (or @t51 @t215) @t295) @t303))) % 0.36/0.78 (step @p348 :rule bool-double-not-elim :args (@t215)) % 0.36/0.78 (step @p349 :rule nary_cong :premises (@p339 @p348) :args ((or @t51 (not @t216)))) % 0.36/0.78 (step @p350 :rule bool-and-de-morgan :args (@t49 @t216 true)) % 0.36/0.78 (step @p351 :rule trans :premises (@p350 @p349)) % 0.36/0.78 (step @p352 :rule nary_cong :premises (@p351 @p337) :args ((or (not @t304) @t295))) % 0.36/0.78 (step @p353 :rule trans :premises (@p352 @p347)) % 0.36/0.78 (step @p354 :rule bool-impl-elim :args (@t304 @t295)) % 0.36/0.78 (step @p355 :rule trans :premises (@p354 @p353)) % 0.36/0.78 (step @p356 :rule cong :premises (@p355) :args ((forall @t8 (=> @t304 @t295)))) % 0.36/0.78 (step @p357 :rule trans :premises (@p356 @p346)) % 0.36/0.78 (step @p358 :rule bool-or-de-morgan :args (@t77 @t76 false)) % 0.36/0.78 (step @p359 :rule refl :args (@t289)) % 0.36/0.78 (step @p360 :rule refl :args (@t290)) % 0.36/0.78 (step @p361 :rule refl :args (@t21)) % 0.36/0.78 (step @p362 :rule nary_cong :premises (@p361 @p360 @p359 @p358) :args ((or @t21 @t290 @t289 @t305))) % 0.36/0.78 (step @p363 :rule refl :args (@t305)) % 0.36/0.78 (step @p364 :rule nary_cong :premises (@p63 @p360 @p359 @p363) :args (@t306)) % 0.36/0.78 (step @p365 :rule aci_norm :args ((= (or @t114 (or @t290 (or @t289 @t305))) @t306))) % 0.36/0.78 (step @p366 :rule trans :premises (@p365 @p364)) % 0.36/0.78 (step @p367 :rule bool-and-de-morgan :args (@t288 @t78 true)) % 0.36/0.78 (step @p368 :rule nary_cong :premises (@p360 @p367) :args ((or @t290 (not (and @t288 @t78))))) % 0.36/0.78 (step @p369 :rule bool-and-de-morgan :args (@t79 @t288 (and @t78))) % 0.36/0.78 (step @p370 :rule trans :premises (@p369 @p368)) % 0.36/0.78 (step @p371 :rule refl :args (@t114)) % 0.36/0.78 (step @p372 :rule nary_cong :premises (@p371 @p370) :args ((or @t114 (not (and @t79 @t288 @t78))))) % 0.36/0.78 (step @p373 :rule bool-and-de-morgan :args (@t22 @t79 (and @t288 @t78))) % 0.36/0.78 (step @p374 :rule trans :premises (@p373 @p372)) % 0.36/0.78 (step @p375 :rule trans :premises (@p374 @p366)) % 0.36/0.78 (step @p376 :rule trans :premises (@p375 @p362)) % 0.36/0.78 (step @p377 :rule cong :premises (@p376) :args (@t308)) % 0.36/0.78 (step @p378 :rule cong :premises (@p377) :args (@t309)) % 0.36/0.78 (step @p379 :rule exists-elim :args ((= (exists @t23 @t307) @t309))) % 0.36/0.78 (step @p380 :rule trans :premises (@p379 @p378)) % 0.36/0.78 (step @p381 :rule refl :args (@t78)) % 0.36/0.78 (step @p382 :rule bool-impl-elim :args (@t72 @t71)) % 0.36/0.78 (step @p383 :rule cong :premises (@p382) :args (@t74)) % 0.36/0.78 (step @p384 :rule refl :args (@t79)) % 0.36/0.78 (step @p385 :rule refl :args (@t22)) % 0.36/0.78 (step @p386 :rule nary_cong :premises (@p385 @p384 @p383 @p381) :args (@t80)) % 0.36/0.78 (step @p387 :rule cong :premises (@p386) :args (@t81)) % 0.36/0.78 (step @p388 :rule trans :premises (@p387 @p380)) % 0.36/0.78 (step @p389 :rule cong :premises (@p309) :args (@t75)) % 0.36/0.78 (step @p390 :rule refl :args (@t49)) % 0.36/0.78 (step @p391 :rule nary_cong :premises (@p390 @p389) :args (@t82)) % 0.36/0.78 (step @p392 :rule cong :premises (@p391 @p388) :args (@t83)) % 0.36/0.78 (step @p393 :rule cong :premises (@p392) :args (@t84)) % 0.36/0.78 (step @p394 :rule trans :premises (@p393 @p357)) % 0.36/0.78 (step @p395 :rule eq_resolve :premises (@p39 @p394)) % 0.36/0.78 (step @p396 :rule instantiate :premises (@p395) :args ((@list tptp.n0 @t279))) % 0.36/0.78 (step @p397 :rule cnf_or_pos :args (@t311)) % 0.36/0.78 (step @p398 :rule reordering :premises (@p397) :args ((or @t127 @t310 @t281 @t280 (not @t311)))) % 0.36/0.78 (step @p399 :rule chain_m_resolution :premises (@p398 @p396 @p333 @p132 @p326 @p325) :args (@t282 (@list false false false true true) (@list @t311 @t291 @t94 @t280 @t281))) % 0.36/0.78 (step @p400 :rule refl :args (@t312)) % 0.36/0.78 (step @p401 :rule bool-double-not-elim :args (@t278)) % 0.36/0.78 (step @p402 :rule nary_cong :premises (@p401 @p400) :args ((or (not @t313) @t312))) % 0.36/0.78 (assume-push @p416 @t313) % 0.36/0.78 (step @p404 :rule skolemize :premises (@p416)) % 0.36/0.78 (step-pop @p417 :rule scope :premises (@p404)) % 0.36/0.78 (step @p405 :rule process_scope :premises (@p417) :args (@t312)) % 0.36/0.78 (step @p407 :rule implies_elim :premises (@p405)) % 0.36/0.78 (step @p408 :rule eq_resolve :premises (@p407 @p402)) % 0.36/0.78 (step @p409 :rule chain_m_resolution :premises (@p408 @p399) :args (@t278 @t141 (@list @t282))) % 0.36/0.78 (step @p410 :rule cnf_or_pos :args (@t315)) % 0.36/0.78 (step @p411 :rule reordering :premises (@p410) :args ((or @t313 @t276 @t274 @t314 @t271 (not @t315)))) % 0.36/0.78 (step @p412 :rule chain_m_resolution :premises (@p411 @p409 @p324 @p320 @p317 @p314) :args (@t314 (@list false true true true false) (@list @t278 @t276 @t274 @t271 @t315))) % 0.36/0.78 (step @p413 :rule cnf_and_pos :args (@t314 0)) % 0.36/0.78 (step @p414 :rule reordering :premises (@p413) :args ((or @t182 (not @t314)))) % 0.36/0.78 (step @p415 false :rule chain_m_resolution :premises (@p414 @p412 @p212) :args (false (@list false true) (@list @t314 @t182))) % 0.36/0.78 ) % 0.36/0.78 % SZS output end Proof % 0.36/0.78 % cvc5 exiting %------------------------------------------------------------------------------