%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MED009+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 1.13s 1.34s % Output : Proof 1.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : MED009+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n006.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 09:40:49 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.13/1.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.13/1.34 % SZS status Theorem % 1.13/1.34 % SZS output start Proof % 1.13/1.34 ( % 1.13/1.34 (declare-sort $$unsorted 0) % 1.13/1.34 (declare-const tptp.s0 (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.s1 (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.s3 (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.qillt27 (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.drugbg (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.n0 $$unsorted) % 1.13/1.34 (declare-const tptp.bcapacityex (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.s2 (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.releaselg (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.bcapacityne (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.qilt27 (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.conditionnormo (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.bcapacitysn (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.drugsu (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.conditionhypo (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.conditionhyper (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.uptakepg (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.uptakelg (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.drugi (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.bsecretioni (-> $$unsorted Bool)) % 1.13/1.34 (define @t1 () (@var "X" $$unsorted)) % 1.13/1.34 (define @t2 () (@var "Z" $$unsorted)) % 1.13/1.34 (define @t3 () (@var "Y" $$unsorted)) % 1.13/1.34 (define @t4 () (@var "X0" $$unsorted)) % 1.13/1.34 (define @t5 () (tptp.bcapacitysn @t4)) % 1.13/1.34 (define @t6 () (tptp.bcapacityex @t4)) % 1.13/1.34 (define @t7 () (tptp.bcapacityne @t4)) % 1.13/1.34 (define @t8 () (@list @t4)) % 1.13/1.34 (define @t9 () (not @t6)) % 1.13/1.34 (define @t10 () (not @t7)) % 1.13/1.34 (define @t11 () (not @t5)) % 1.13/1.34 (define @t12 () (tptp.conditionnormo @t4)) % 1.13/1.34 (define @t13 () (tptp.conditionhypo @t4)) % 1.13/1.34 (define @t14 () (tptp.conditionhyper @t4)) % 1.13/1.34 (define @t15 () (not @t13)) % 1.13/1.34 (define @t16 () (not @t14)) % 1.13/1.34 (define @t17 () (not @t12)) % 1.13/1.34 (define @t18 () (@var "X1" $$unsorted)) % 1.13/1.34 (define @t19 () (tptp.uptakepg @t18)) % 1.13/1.34 (define @t20 () (tptp.uptakelg @t18)) % 1.13/1.34 (define @t21 () (tptp.gt @t4 @t18)) % 1.13/1.34 (define @t22 () (not @t21)) % 1.13/1.34 (define @t23 () (@list @t18)) % 1.13/1.34 (define @t24 () (tptp.drugi @t18)) % 1.13/1.34 (define @t25 () (forall @t23 (=> @t22 @t24))) % 1.13/1.34 (define @t26 () (tptp.releaselg @t18)) % 1.13/1.34 (define @t27 () (not @t26)) % 1.13/1.34 (define @t28 () (@list @t4 @t18)) % 1.13/1.34 (define @t29 () (tptp.bsecretioni @t18)) % 1.13/1.34 (define @t30 () (forall @t23 (=> @t22 @t29))) % 1.13/1.34 (define @t31 () (and (forall @t23 (=> @t22 (tptp.drugsu @t18))) @t9)) % 1.13/1.34 (define @t32 () (forall @t23 (=> @t22 @t27))) % 1.13/1.34 (define @t33 () (tptp.drugbg @t18)) % 1.13/1.34 (define @t34 () (forall @t23 (=> @t22 @t33))) % 1.13/1.34 (define @t35 () (=> @t34 @t32)) % 1.13/1.34 (define @t36 () (forall @t8 @t35)) % 1.13/1.34 (define @t37 () (tptp.conditionnormo @t18)) % 1.13/1.34 (define @t38 () (forall @t23 (=> @t22 @t37))) % 1.13/1.34 (define @t39 () (tptp.conditionhyper @t18)) % 1.13/1.34 (define @t40 () (forall @t23 (=> @t21 @t39))) % 1.13/1.34 (define @t41 () (tptp.qilt27 @t4)) % 1.13/1.34 (define @t42 () (and @t30 @t5 @t41 @t40)) % 1.13/1.34 (define @t43 () (not @t41)) % 1.13/1.34 (define @t44 () (and @t32 @t5 @t43 @t40)) % 1.13/1.34 (define @t45 () (forall @t23 (=> @t22 @t19))) % 1.13/1.34 (define @t46 () (or @t32 @t45)) % 1.13/1.34 (define @t47 () (and @t46 @t7 @t30 @t40)) % 1.13/1.34 (define @t48 () (forall @t23 (=> @t22 @t20))) % 1.13/1.34 (define @t49 () (and @t48 @t45 @t6 @t40)) % 1.13/1.34 (define @t50 () (tptp.s3 @t4)) % 1.13/1.34 (define @t51 () (tptp.s2 @t4)) % 1.13/1.34 (define @t52 () (tptp.s1 @t4)) % 1.13/1.34 (define @t53 () (tptp.s0 @t4)) % 1.13/1.34 (define @t54 () (not @t52)) % 1.13/1.34 (define @t55 () (not @t53)) % 1.13/1.34 (define @t56 () (not @t51)) % 1.13/1.34 (define @t57 () (not @t50)) % 1.13/1.34 (define @t58 () (or @t42 @t44 @t47 @t49)) % 1.13/1.34 (define @t59 () (=> @t38 @t58)) % 1.13/1.34 (define @t60 () (forall @t8 @t59)) % 1.13/1.34 (define @t61 () (tptp.drugsu @t4)) % 1.13/1.34 (define @t62 () (tptp.drugbg @t4)) % 1.13/1.34 (define @t63 () (and @t52 @t43)) % 1.13/1.34 (define @t64 () (tptp.drugi @t4)) % 1.13/1.34 (define @t65 () (forall @t8 (=> @t64 @t50))) % 1.13/1.34 (define @t66 () (or @t48 @t45)) % 1.13/1.34 (define @t67 () (=> @t66 @t25)) % 1.13/1.34 (define @t68 () (forall @t8 @t67)) % 1.13/1.34 (define @t69 () (=> @t27 @t20)) % 1.13/1.34 (define @t70 () (forall @t28 (=> @t22 @t69))) % 1.13/1.34 (define @t71 () (=> @t32 @t34)) % 1.13/1.34 (define @t72 () (forall @t8 @t71)) % 1.13/1.34 (define @t73 () (@var "X2" $$unsorted)) % 1.13/1.34 (define @t74 () (tptp.conditionhyper @t73)) % 1.13/1.34 (define @t75 () (tptp.gt @t18 @t73)) % 1.13/1.34 (define @t76 () (@list @t73)) % 1.13/1.34 (define @t77 () (forall @t76 (=> @t75 @t74))) % 1.13/1.34 (define @t78 () (not @t38)) % 1.13/1.34 (define @t79 () (tptp.bcapacityex @t18)) % 1.13/1.34 (define @t80 () (tptp.bcapacityne @t18)) % 1.13/1.34 (define @t81 () (or @t80 @t79)) % 1.13/1.34 (define @t82 () (tptp.s2 @t18)) % 1.13/1.34 (define @t83 () (and @t22 @t82 @t77 @t81)) % 1.13/1.34 (define @t84 () (exists @t23 @t83)) % 1.13/1.34 (define @t85 () (and @t52 @t78)) % 1.13/1.34 (define @t86 () (=> @t85 @t84)) % 1.13/1.34 (define @t87 () (forall @t8 @t86)) % 1.13/1.34 (define @t88 () (or @t7 @t6)) % 1.13/1.34 (define @t89 () (tptp.gt tptp.n0 @t4)) % 1.13/1.34 (define @t90 () (not @t89)) % 1.13/1.34 (define @t91 () (and @t90 @t51 @t40 @t88)) % 1.13/1.34 (define @t92 () (exists @t8 @t91)) % 1.13/1.34 (define @t93 () (tptp.qilt27 tptp.n0)) % 1.13/1.34 (define @t94 () (not @t93)) % 1.13/1.34 (define @t95 () (tptp.bcapacitysn tptp.n0)) % 1.13/1.34 (define @t96 () (not @t95)) % 1.13/1.34 (define @t97 () (forall @t8 (=> @t89 @t14))) % 1.13/1.34 (define @t98 () (tptp.s1 tptp.n0)) % 1.13/1.34 (define @t99 () (and @t98 @t97 @t96 @t94)) % 1.13/1.34 (define @t100 () (=> @t99 @t92)) % 1.13/1.34 (define @t101 () (not @t100)) % 1.13/1.34 (define @t102 () (@var "BOUND_VARIABLE_7962" $$unsorted)) % 1.13/1.34 (define @t103 () (tptp.drugbg @t102)) % 1.13/1.34 (define @t104 () (tptp.gt @t4 @t102)) % 1.13/1.34 (define @t105 () (forall @t23 (or @t21 @t27))) % 1.13/1.34 (define @t106 () (not @t105)) % 1.13/1.34 (define @t107 () (or @t104 @t103)) % 1.13/1.34 (define @t108 () (or @t106 @t107)) % 1.13/1.34 (define @t109 () (forall (@list @t4 @t102) @t108)) % 1.13/1.34 (define @t110 () (@list @t102)) % 1.13/1.34 (define @t111 () (forall @t110 @t108)) % 1.13/1.34 (define @t112 () (forall @t110 @t107)) % 1.13/1.34 (define @t113 () (@list @t18)) % 1.13/1.34 (define @t114 () (or @t106 @t112)) % 1.13/1.34 (define @t115 () (forall @t23 (or @t21 @t33))) % 1.13/1.34 (define @t116 () (not @t22)) % 1.13/1.34 (define @t117 () (tptp.gt tptp.n0 @t18)) % 1.13/1.34 (define @t118 () (forall @t23 (or @t117 @t33))) % 1.13/1.34 (define @t119 () (@quantifiers_skolemize @t118 0)) % 1.13/1.34 (define @t120 () (@var "BOUND_VARIABLE_7710" $$unsorted)) % 1.13/1.34 (define @t121 () (not (tptp.releaselg @t120))) % 1.13/1.34 (define @t122 () (tptp.gt @t4 @t120)) % 1.13/1.34 (define @t123 () (not @t115)) % 1.13/1.34 (define @t124 () (or @t122 @t121)) % 1.13/1.34 (define @t125 () (or @t123 @t124)) % 1.13/1.34 (define @t126 () (forall (@list @t4 @t120) @t125)) % 1.13/1.34 (define @t127 () (@list @t120)) % 1.13/1.34 (define @t128 () (forall @t127 @t125)) % 1.13/1.34 (define @t129 () (forall @t127 @t124)) % 1.13/1.34 (define @t130 () (or @t123 @t129)) % 1.13/1.34 (define @t131 () (forall @t23 (or @t117 @t20))) % 1.13/1.34 (define @t132 () (@quantifiers_skolemize @t131 0)) % 1.13/1.34 (define @t133 () (@list tptp.n0 @t132)) % 1.13/1.34 (define @t134 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 1.13/1.34 (define @t135 () (tptp.drugi @t134)) % 1.13/1.34 (define @t136 () (tptp.gt @t4 @t134)) % 1.13/1.34 (define @t137 () (forall @t23 (or @t21 @t19))) % 1.13/1.34 (define @t138 () (forall @t23 (or @t21 @t20))) % 1.13/1.34 (define @t139 () (and (not @t138) (not @t137))) % 1.13/1.34 (define @t140 () (or @t136 @t135)) % 1.13/1.34 (define @t141 () (or @t139 @t140)) % 1.13/1.34 (define @t142 () (forall (@list @t4 @t134) @t141)) % 1.13/1.34 (define @t143 () (@list @t134)) % 1.13/1.34 (define @t144 () (forall @t143 @t141)) % 1.13/1.34 (define @t145 () (forall @t143 @t140)) % 1.13/1.34 (define @t146 () (or @t139 @t145)) % 1.13/1.34 (define @t147 () (forall @t23 (or @t21 @t24))) % 1.13/1.34 (define @t148 () (or @t138 @t137)) % 1.13/1.34 (define @t149 () (@list tptp.n0)) % 1.13/1.34 (define @t150 () (forall @t23 (or @t22 @t39))) % 1.13/1.34 (define @t151 () (not @t150)) % 1.13/1.34 (define @t152 () (not @t88)) % 1.13/1.34 (define @t153 () (not @t90)) % 1.13/1.34 (define @t154 () (or @t153 @t56 @t151 @t152)) % 1.13/1.34 (define @t155 () (and @t90 @t51 @t150 @t88)) % 1.13/1.34 (define @t156 () (forall @t8 (not @t155))) % 1.13/1.34 (define @t157 () (not @t156)) % 1.13/1.34 (define @t158 () (tptp.s3 tptp.n0)) % 1.13/1.34 (define @t159 () (not @t158)) % 1.13/1.34 (define @t160 () (not @t98)) % 1.13/1.34 (define @t161 () (or @t160 @t159)) % 1.13/1.34 (define @t162 () (@list false false)) % 1.13/1.34 (define @t163 () (tptp.drugi tptp.n0)) % 1.13/1.34 (define @t164 () (not @t163)) % 1.13/1.34 (define @t165 () (or @t164 @t158)) % 1.13/1.34 (define @t166 () (tptp.gt tptp.n0 tptp.n0)) % 1.13/1.34 (define @t167 () (forall @t23 (or @t117 @t19))) % 1.13/1.34 (define @t168 () (not @t167)) % 1.13/1.34 (define @t169 () (not @t131)) % 1.13/1.34 (define @t170 () (and @t169 @t168)) % 1.13/1.34 (define @t171 () (or @t170 @t166 @t163)) % 1.13/1.34 (define @t172 () (@list true true false)) % 1.13/1.34 (define @t173 () (not @t170)) % 1.13/1.34 (define @t174 () (@list false)) % 1.13/1.34 (define @t175 () (@list @t170)) % 1.13/1.34 (define @t176 () (tptp.uptakelg @t132)) % 1.13/1.34 (define @t177 () (tptp.gt tptp.n0 @t132)) % 1.13/1.34 (define @t178 () (or @t177 @t176)) % 1.13/1.34 (define @t179 () (@list true)) % 1.13/1.34 (define @t180 () (@list @t178)) % 1.13/1.34 (define @t181 () (tptp.releaselg @t132)) % 1.13/1.34 (define @t182 () (or @t177 @t181 @t176)) % 1.13/1.34 (define @t183 () (not @t181)) % 1.13/1.34 (define @t184 () (not @t118)) % 1.13/1.34 (define @t185 () (or @t184 @t177 @t183)) % 1.13/1.34 (define @t186 () (tptp.drugbg @t119)) % 1.13/1.34 (define @t187 () (tptp.gt tptp.n0 @t119)) % 1.13/1.34 (define @t188 () (or @t187 @t186)) % 1.13/1.34 (define @t189 () (@list @t188)) % 1.13/1.34 (define @t190 () (not @t187)) % 1.13/1.34 (define @t191 () (forall @t23 (or @t117 @t27))) % 1.13/1.34 (define @t192 () (not @t191)) % 1.13/1.34 (define @t193 () (or @t192 @t187 @t186)) % 1.13/1.34 (define @t194 () (@quantifiers_skolemize @t191 0)) % 1.13/1.34 (define @t195 () (tptp.releaselg @t194)) % 1.13/1.34 (define @t196 () (not @t195)) % 1.13/1.34 (define @t197 () (tptp.gt tptp.n0 @t194)) % 1.13/1.34 (define @t198 () (or @t197 @t196)) % 1.13/1.34 (define @t199 () (@list @t198)) % 1.13/1.34 (define @t200 () (@quantifiers_skolemize @t167 0)) % 1.13/1.34 (define @t201 () (tptp.uptakepg @t200)) % 1.13/1.34 (define @t202 () (tptp.gt tptp.n0 @t200)) % 1.13/1.34 (define @t203 () (or @t202 @t201)) % 1.13/1.34 (define @t204 () (@list @t203)) % 1.13/1.34 (define @t205 () (not @t202)) % 1.13/1.34 (define @t206 () (or @t197 @t196 @t202 @t201)) % 1.13/1.34 (define @t207 () (not @t206)) % 1.13/1.34 (define @t208 () (@var "BOUND_VARIABLE_7879" $$unsorted)) % 1.13/1.34 (define @t209 () (or (not (tptp.gt @t4 @t208)) (tptp.conditionhyper @t208))) % 1.13/1.34 (define @t210 () (@var "BOUND_VARIABLE_7873" $$unsorted)) % 1.13/1.34 (define @t211 () (or (tptp.gt @t4 @t210) (tptp.uptakepg @t210))) % 1.13/1.34 (define @t212 () (@var "BOUND_VARIABLE_7868" $$unsorted)) % 1.13/1.34 (define @t213 () (or (tptp.gt @t4 @t212) (tptp.uptakelg @t212))) % 1.13/1.34 (define @t214 () (and @t213 @t211 @t6 @t209)) % 1.13/1.34 (define @t215 () (@var "BOUND_VARIABLE_7861" $$unsorted)) % 1.13/1.34 (define @t216 () (or (not (tptp.gt @t4 @t215)) (tptp.conditionhyper @t215))) % 1.13/1.34 (define @t217 () (@var "BOUND_VARIABLE_7856" $$unsorted)) % 1.13/1.34 (define @t218 () (or (tptp.gt @t4 @t217) (tptp.bsecretioni @t217))) % 1.13/1.34 (define @t219 () (@var "BOUND_VARIABLE_7850" $$unsorted)) % 1.13/1.34 (define @t220 () (tptp.uptakepg @t219)) % 1.13/1.34 (define @t221 () (tptp.gt @t4 @t219)) % 1.13/1.34 (define @t222 () (@var "BOUND_VARIABLE_7844" $$unsorted)) % 1.13/1.34 (define @t223 () (not (tptp.releaselg @t222))) % 1.13/1.34 (define @t224 () (tptp.gt @t4 @t222)) % 1.13/1.34 (define @t225 () (or @t221 @t220)) % 1.13/1.34 (define @t226 () (or @t224 @t223)) % 1.13/1.34 (define @t227 () (or @t226 @t225)) % 1.13/1.34 (define @t228 () (and @t227 @t7 @t218 @t216)) % 1.13/1.34 (define @t229 () (@var "BOUND_VARIABLE_7837" $$unsorted)) % 1.13/1.34 (define @t230 () (or (not (tptp.gt @t4 @t229)) (tptp.conditionhyper @t229))) % 1.13/1.34 (define @t231 () (@var "BOUND_VARIABLE_7831" $$unsorted)) % 1.13/1.34 (define @t232 () (or (tptp.gt @t4 @t231) (not (tptp.releaselg @t231)))) % 1.13/1.34 (define @t233 () (and @t232 @t5 @t43 @t230)) % 1.13/1.34 (define @t234 () (@var "BOUND_VARIABLE_7824" $$unsorted)) % 1.13/1.34 (define @t235 () (or (not (tptp.gt @t4 @t234)) (tptp.conditionhyper @t234))) % 1.13/1.34 (define @t236 () (@var "BOUND_VARIABLE_7819" $$unsorted)) % 1.13/1.34 (define @t237 () (or (tptp.gt @t4 @t236) (tptp.bsecretioni @t236))) % 1.13/1.34 (define @t238 () (and @t237 @t5 @t41 @t235)) % 1.13/1.34 (define @t239 () (forall @t23 (or @t21 @t37))) % 1.13/1.34 (define @t240 () (not @t239)) % 1.13/1.34 (define @t241 () (or @t240 @t238 @t233 @t228 @t214)) % 1.13/1.34 (define @t242 () (forall (@list @t4 @t236 @t234 @t231 @t229 @t222 @t219 @t217 @t215 @t212 @t210 @t208) @t241)) % 1.13/1.34 (define @t243 () (forall (@list @t236 @t234 @t231 @t229 @t222 @t219 @t217 @t215 @t212 @t210 @t208) @t241)) % 1.13/1.34 (define @t244 () (forall (@list @t208) @t209)) % 1.13/1.34 (define @t245 () (@list @t212 @t210 @t208)) % 1.13/1.34 (define @t246 () (forall @t245 @t209)) % 1.13/1.34 (define @t247 () (forall @t245 @t6)) % 1.13/1.34 (define @t248 () (forall (@list @t210) @t211)) % 1.13/1.34 (define @t249 () (forall @t245 @t211)) % 1.13/1.34 (define @t250 () (forall (@list @t212) @t213)) % 1.13/1.34 (define @t251 () (forall @t245 @t213)) % 1.13/1.34 (define @t252 () (and @t251 @t249 @t247 @t246)) % 1.13/1.34 (define @t253 () (forall @t245 @t214)) % 1.13/1.34 (define @t254 () (forall (@list @t215) @t216)) % 1.13/1.34 (define @t255 () (@list @t222 @t219 @t217 @t215)) % 1.13/1.34 (define @t256 () (forall @t255 @t216)) % 1.13/1.34 (define @t257 () (forall (@list @t217) @t218)) % 1.13/1.34 (define @t258 () (forall @t255 @t218)) % 1.13/1.34 (define @t259 () (forall @t255 @t7)) % 1.13/1.34 (define @t260 () (forall (@list @t219) @t225)) % 1.13/1.34 (define @t261 () (forall (@list @t222) @t226)) % 1.13/1.34 (define @t262 () (or @t261 @t260)) % 1.13/1.34 (define @t263 () (forall (@list @t222 @t219) @t227)) % 1.13/1.34 (define @t264 () (forall @t255 @t227)) % 1.13/1.34 (define @t265 () (and @t264 @t259 @t258 @t256)) % 1.13/1.34 (define @t266 () (forall @t255 @t228)) % 1.13/1.34 (define @t267 () (forall (@list @t229) @t230)) % 1.13/1.34 (define @t268 () (@list @t231 @t229)) % 1.13/1.34 (define @t269 () (forall @t268 @t230)) % 1.13/1.34 (define @t270 () (forall @t268 @t43)) % 1.13/1.34 (define @t271 () (forall @t268 @t5)) % 1.13/1.34 (define @t272 () (forall (@list @t231) @t232)) % 1.13/1.34 (define @t273 () (forall @t268 @t232)) % 1.13/1.34 (define @t274 () (and @t273 @t271 @t270 @t269)) % 1.13/1.34 (define @t275 () (forall @t268 @t233)) % 1.13/1.34 (define @t276 () (forall (@list @t234) @t235)) % 1.13/1.34 (define @t277 () (@list @t236 @t234)) % 1.13/1.34 (define @t278 () (forall @t277 @t235)) % 1.13/1.34 (define @t279 () (forall @t277 @t41)) % 1.13/1.34 (define @t280 () (forall @t277 @t5)) % 1.13/1.34 (define @t281 () (forall (@list @t236) @t237)) % 1.13/1.34 (define @t282 () (forall @t277 @t237)) % 1.13/1.34 (define @t283 () (and @t282 @t280 @t279 @t278)) % 1.13/1.34 (define @t284 () (forall @t277 @t238)) % 1.13/1.34 (define @t285 () (or @t240 @t284 @t275 @t266 @t253)) % 1.13/1.34 (define @t286 () (and @t138 @t137 @t6 @t150)) % 1.13/1.34 (define @t287 () (forall @t23 (or @t21 @t29))) % 1.13/1.34 (define @t288 () (and (or @t105 @t137) @t7 @t287 @t150)) % 1.13/1.34 (define @t289 () (and @t105 @t5 @t43 @t150)) % 1.13/1.34 (define @t290 () (and @t287 @t5 @t41 @t150)) % 1.13/1.34 (define @t291 () (or @t240 @t290 @t289 @t288 @t286)) % 1.13/1.34 (define @t292 () (or @t290 @t289 @t288 @t286)) % 1.13/1.34 (define @t293 () (tptp.gt (@quantifiers_skolemize (forall @t23 (or @t117 @t29)) 0) @t18)) % 1.13/1.34 (define @t294 () (@quantifiers_skolemize (forall @t23 (or (not @t293) @t39)) 0)) % 1.13/1.34 (define @t295 () (@quantifiers_skolemize (forall @t23 (or @t293 @t29)) 0)) % 1.13/1.34 (define @t296 () (@quantifiers_skolemize (forall @t23 (or @t117 @t24)) 0)) % 1.13/1.34 (define @t297 () (forall @t23 (or @t117 @t37))) % 1.13/1.34 (define @t298 () (@quantifiers_skolemize @t297 0)) % 1.13/1.34 (define @t299 () (@quantifiers_skolemize (forall @t23 (or (tptp.gt @t119 @t18) @t29)) 0)) % 1.13/1.34 (define @t300 () (tptp.bcapacityex tptp.n0)) % 1.13/1.34 (define @t301 () (and (or @t202 (tptp.uptakelg @t200)) @t203 @t300 (or (not (tptp.gt tptp.n0 @t296)) (tptp.conditionhyper @t296)))) % 1.13/1.34 (define @t302 () (not @t301)) % 1.13/1.34 (define @t303 () (tptp.gt tptp.n0 @t298)) % 1.13/1.34 (define @t304 () (or (not @t303) (tptp.conditionhyper @t298))) % 1.13/1.34 (define @t305 () (not (tptp.releaselg @t295))) % 1.13/1.34 (define @t306 () (tptp.gt tptp.n0 @t295)) % 1.13/1.34 (define @t307 () (and (or @t306 @t305) @t95 @t94 @t304)) % 1.13/1.34 (define @t308 () (not @t307)) % 1.13/1.34 (define @t309 () (@list @t95)) % 1.13/1.34 (define @t310 () (and (or (tptp.gt tptp.n0 @t299) (tptp.bsecretioni @t299)) @t95 @t93 @t304)) % 1.13/1.34 (define @t311 () (not @t310)) % 1.13/1.34 (define @t312 () (tptp.conditionnormo @t298)) % 1.13/1.34 (define @t313 () (or @t303 @t312)) % 1.13/1.34 (define @t314 () (@var "BOUND_VARIABLE_9880" $$unsorted)) % 1.13/1.34 (define @t315 () (@var "BOUND_VARIABLE_9881" $$unsorted)) % 1.13/1.34 (define @t316 () (@list @t314 @t315)) % 1.13/1.34 (define @t317 () (forall @t8 (or @t89 @t56 @t151 (and @t10 @t9)))) % 1.13/1.34 (define @t318 () (and (not @t80) (not @t79))) % 1.13/1.34 (define @t319 () (forall @t76 (or (not @t75) @t74))) % 1.13/1.34 (define @t320 () (not @t319)) % 1.13/1.34 (define @t321 () (not @t82)) % 1.13/1.34 (define @t322 () (forall @t23 (or @t117 @t321 @t320 @t318))) % 1.13/1.34 (define @t323 () (@var "BOUND_VARIABLE_8024" $$unsorted)) % 1.13/1.34 (define @t324 () (tptp.conditionnormo @t323)) % 1.13/1.34 (define @t325 () (tptp.gt @t4 @t323)) % 1.13/1.34 (define @t326 () (not (forall @t23 (or @t21 @t321 @t320 @t318)))) % 1.13/1.34 (define @t327 () (or @t325 @t324)) % 1.13/1.34 (define @t328 () (or @t54 @t327 @t326)) % 1.13/1.34 (define @t329 () (forall (@list @t4 @t323) @t328)) % 1.13/1.34 (define @t330 () (@list @t323)) % 1.13/1.34 (define @t331 () (forall @t330 @t328)) % 1.13/1.34 (define @t332 () (forall @t330 @t327)) % 1.13/1.34 (define @t333 () (or @t54 @t332 @t326)) % 1.13/1.34 (define @t334 () (or @t54 @t239 @t326)) % 1.13/1.34 (define @t335 () (and @t52 @t240)) % 1.13/1.34 (define @t336 () (not @t81)) % 1.13/1.34 (define @t337 () (or @t116 @t321 @t320 @t336)) % 1.13/1.34 (define @t338 () (and @t22 @t82 @t319 @t81)) % 1.13/1.34 (define @t339 () (forall @t23 (not @t338))) % 1.13/1.34 (define @t340 () (not @t339)) % 1.13/1.34 (define @t341 () (not @t322)) % 1.13/1.34 (define @t342 () (or @t160 @t341 @t303 @t312)) % 1.13/1.34 (define @t343 () (not @t313)) % 1.13/1.34 (define @t344 () (not @t297)) % 1.13/1.34 (define @t345 () (tptp.bcapacityne tptp.n0)) % 1.13/1.34 (define @t346 () (and (or @t306 @t305 @t202 @t201) @t345 (or @t202 (tptp.bsecretioni @t200)) (or @t205 (tptp.conditionhyper @t200)))) % 1.13/1.34 (define @t347 () (or @t344 @t310 @t307 @t346 @t301)) % 1.13/1.34 (define @t348 () (@list false true true true false)) % 1.13/1.34 (define @t349 () (not @t300)) % 1.13/1.34 (define @t350 () (not @t345)) % 1.13/1.34 (define @t351 () (or @t350 @t349)) % 1.13/1.34 (define @t352 () (tptp.gt tptp.n0 @t294)) % 1.13/1.34 (define @t353 () (and (or @t352 (tptp.uptakelg @t294)) (or @t187 (tptp.uptakepg @t119)) @t300 (or (not @t352) (tptp.conditionhyper @t294)))) % 1.13/1.34 (define @t354 () (not @t353)) % 1.13/1.34 (define @t355 () (or @t190 (tptp.conditionhyper @t119))) % 1.13/1.34 (define @t356 () (and (or @t352 (tptp.bsecretioni @t294)) @t95 @t93 @t355)) % 1.13/1.34 (define @t357 () (not @t356)) % 1.13/1.34 (define @t358 () (and (or @t187 (not (tptp.releaselg @t119))) @t95 @t94 @t355)) % 1.13/1.34 (define @t359 () (not @t358)) % 1.13/1.34 (define @t360 () (and @t206 @t345 (or @t306 (tptp.bsecretioni @t295)) @t355)) % 1.13/1.34 (define @t361 () (or @t344 @t356 @t358 @t360 @t353)) % 1.13/1.34 (assume @p1 (forall (@list @t1) (not (tptp.gt @t1 @t1)))) % 1.13/1.34 (assume @p2 (forall (@list @t1 @t3 @t2) (=> (and (tptp.gt @t1 @t3) (tptp.gt @t3 @t2)) (tptp.gt @t1 @t2)))) % 1.13/1.34 (assume @p3 (forall @t8 (or @t7 @t6 @t5))) % 1.13/1.34 (assume @p4 (forall @t8 (or @t10 @t9))) % 1.13/1.34 (assume @p5 (forall @t8 (or @t10 @t11))) % 1.13/1.34 (assume @p6 (forall @t8 (or @t9 @t11))) % 1.13/1.34 (assume @p7 (forall @t8 (or @t14 @t13 @t12))) % 1.13/1.34 (assume @p8 (forall @t8 (or @t16 @t15))) % 1.13/1.34 (assume @p9 (forall @t8 (or @t16 @t17))) % 1.13/1.34 (assume @p10 (forall @t8 (or @t15 @t17))) % 1.13/1.34 (assume @p11 (forall @t8 (=> @t25 (forall @t23 (=> @t22 (and @t20 @t19)))))) % 1.13/1.34 (assume @p12 (forall @t28 (=> @t22 (=> @t20 @t27)))) % 1.13/1.34 (assume @p13 (forall @t8 (=> @t31 @t30))) % 1.13/1.34 (assume @p14 @t36) % 1.13/1.34 (assume @p15 (forall @t8 (=> @t42 @t38))) % 1.13/1.34 (assume @p16 (forall @t8 (=> @t44 @t38))) % 1.13/1.34 (assume @p17 (forall @t8 (=> @t47 @t38))) % 1.13/1.34 (assume @p18 (forall @t8 (=> @t49 (forall @t23 (=> @t22 (or @t37 (tptp.conditionhypo @t18))))))) % 1.13/1.34 (assume @p19 (forall @t8 (or @t53 @t52 @t51 @t50))) % 1.13/1.34 (assume @p20 (forall @t8 (or @t55 @t54))) % 1.13/1.34 (assume @p21 (forall @t8 (or @t55 @t56))) % 1.13/1.34 (assume @p22 (forall @t8 (or @t55 @t57))) % 1.13/1.34 (assume @p23 (forall @t8 (or @t54 @t56))) % 1.13/1.34 (assume @p24 (forall @t8 (or @t54 @t57))) % 1.13/1.34 (assume @p25 (forall @t8 (or @t56 @t57))) % 1.13/1.34 (assume @p26 @t60) % 1.13/1.34 (assume @p27 (forall @t8 (=> (and @t52 @t41) @t61))) % 1.13/1.34 (assume @p28 (forall @t8 (=> @t63 @t62))) % 1.13/1.34 (assume @p29 (forall @t8 (=> @t51 (and @t62 @t61)))) % 1.13/1.34 (assume @p30 (forall @t8 (=> @t50 (or (and @t64 (or @t61 @t62)) @t64)))) % 1.13/1.34 (assume @p31 (forall @t8 (=> @t62 (or @t63 @t51 @t50)))) % 1.13/1.34 (assume @p32 (forall @t8 (=> @t61 (or (and @t52 (tptp.qillt27 @t4)) @t51 @t50)))) % 1.13/1.34 (assume @p33 @t65) % 1.13/1.34 (assume @p34 @t68) % 1.13/1.34 (assume @p35 @t70) % 1.13/1.34 (assume @p36 (forall @t8 (=> @t30 @t31))) % 1.13/1.34 (assume @p37 @t72) % 1.13/1.34 (assume @p38 (forall @t8 (=> (and @t53 @t78) (exists @t23 (and @t22 (tptp.s1 @t18) @t77))))) % 1.13/1.34 (assume @p39 @t87) % 1.13/1.34 (assume @p40 (forall @t8 (=> (and @t51 @t78) (exists @t23 (and @t22 (tptp.s3 @t18) @t77 @t79))))) % 1.13/1.34 (assume @p41 @t101) % 1.13/1.34 (assume @p42 true) % 1.13/1.34 (step @p43 :rule aci_norm :args ((= @t108 (or @t106 @t104 @t103)))) % 1.13/1.34 (step @p44 :rule cong :premises (@p43) :args (@t109)) % 1.13/1.34 (step @p45 :rule quant-merge-prenex :args ((= (forall @t8 @t111) @t109))) % 1.13/1.34 (step @p46 :rule alpha_equiv :args (@t112 (@list @t102) @t113)) % 1.13/1.34 (step @p47 :rule refl :args (@t106)) % 1.13/1.34 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t114)) % 1.13/1.34 (step @p49 :rule quant-miniscope-or :args ((= @t111 @t114))) % 1.13/1.34 (step @p50 :rule trans :premises (@p49 @p48)) % 1.13/1.34 (step @p51 :rule symm :premises (@p50)) % 1.13/1.34 (step @p52 :rule cong :premises (@p51) :args ((forall @t8 (or @t106 @t115)))) % 1.13/1.34 (step @p53 :rule trans :premises (@p52 @p45)) % 1.13/1.34 (step @p54 :rule trans :premises (@p53 @p44)) % 1.13/1.34 (step @p55 :rule bool-impl-elim :args (@t105 @t115)) % 1.13/1.34 (step @p56 :rule cong :premises (@p55) :args ((forall @t8 (=> @t105 @t115)))) % 1.13/1.34 (step @p57 :rule trans :premises (@p56 @p54)) % 1.13/1.34 (step @p58 :rule refl :args (@t33)) % 1.13/1.34 (step @p59 :rule bool-double-not-elim :args (@t21)) % 1.13/1.34 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t116 @t33))) % 1.13/1.34 (step @p61 :rule bool-impl-elim :args (@t22 @t33)) % 1.13/1.34 (step @p62 :rule trans :premises (@p61 @p60)) % 1.13/1.34 (step @p63 :rule cong :premises (@p62) :args (@t34)) % 1.13/1.34 (step @p64 :rule refl :args (@t27)) % 1.13/1.34 (step @p65 :rule nary_cong :premises (@p59 @p64) :args ((or @t116 @t27))) % 1.13/1.34 (step @p66 :rule bool-impl-elim :args (@t22 @t27)) % 1.13/1.34 (step @p67 :rule trans :premises (@p66 @p65)) % 1.13/1.34 (step @p68 :rule cong :premises (@p67) :args (@t32)) % 1.13/1.34 (step @p69 :rule cong :premises (@p68 @p63) :args (@t71)) % 1.13/1.34 (step @p70 :rule cong :premises (@p69) :args (@t72)) % 1.13/1.34 (step @p71 :rule trans :premises (@p70 @p57)) % 1.13/1.34 (step @p72 :rule eq_resolve :premises (@p37 @p71)) % 1.13/1.34 (step @p73 :rule instantiate :premises (@p72) :args ((@list tptp.n0 @t119))) % 1.13/1.34 (step @p74 :rule aci_norm :args ((= @t125 (or @t123 @t122 @t121)))) % 1.13/1.34 (step @p75 :rule cong :premises (@p74) :args (@t126)) % 1.13/1.34 (step @p76 :rule quant-merge-prenex :args ((= (forall @t8 @t128) @t126))) % 1.13/1.34 (step @p77 :rule alpha_equiv :args (@t129 (@list @t120) @t113)) % 1.13/1.34 (step @p78 :rule refl :args (@t123)) % 1.13/1.34 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t130)) % 1.13/1.34 (step @p80 :rule quant-miniscope-or :args ((= @t128 @t130))) % 1.13/1.34 (step @p81 :rule trans :premises (@p80 @p79)) % 1.13/1.34 (step @p82 :rule symm :premises (@p81)) % 1.13/1.34 (step @p83 :rule cong :premises (@p82) :args ((forall @t8 (or @t123 @t105)))) % 1.13/1.34 (step @p84 :rule trans :premises (@p83 @p76)) % 1.13/1.34 (step @p85 :rule trans :premises (@p84 @p75)) % 1.13/1.34 (step @p86 :rule bool-impl-elim :args (@t115 @t105)) % 1.13/1.34 (step @p87 :rule cong :premises (@p86) :args ((forall @t8 (=> @t115 @t105)))) % 1.13/1.34 (step @p88 :rule trans :premises (@p87 @p85)) % 1.13/1.34 (step @p89 :rule cong :premises (@p63 @p68) :args (@t35)) % 1.13/1.34 (step @p90 :rule cong :premises (@p89) :args (@t36)) % 1.13/1.34 (step @p91 :rule trans :premises (@p90 @p88)) % 1.13/1.34 (step @p92 :rule eq_resolve :premises (@p14 @p91)) % 1.13/1.34 (step @p93 :rule instantiate :premises (@p92) :args (@t133)) % 1.13/1.34 (step @p94 :rule aci_norm :args ((= (or @t21 (or @t26 @t20)) (or @t21 @t26 @t20)))) % 1.13/1.34 (step @p95 :rule refl :args (@t20)) % 1.13/1.34 (step @p96 :rule bool-double-not-elim :args (@t26)) % 1.13/1.34 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t27) @t20))) % 1.13/1.34 (step @p98 :rule bool-impl-elim :args (@t27 @t20)) % 1.13/1.34 (step @p99 :rule trans :premises (@p98 @p97)) % 1.13/1.34 (step @p100 :rule refl :args (@t21)) % 1.13/1.34 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t21 @t69))) % 1.13/1.34 (step @p102 :rule trans :premises (@p101 @p94)) % 1.13/1.34 (step @p103 :rule refl :args (@t69)) % 1.13/1.34 (step @p104 :rule nary_cong :premises (@p59 @p103) :args ((or @t116 @t69))) % 1.13/1.34 (step @p105 :rule bool-impl-elim :args (@t22 @t69)) % 1.13/1.34 (step @p106 :rule trans :premises (@p105 @p104)) % 1.13/1.34 (step @p107 :rule trans :premises (@p106 @p102)) % 1.13/1.34 (step @p108 :rule cong :premises (@p107) :args (@t70)) % 1.13/1.34 (step @p109 :rule eq_resolve :premises (@p35 @p108)) % 1.13/1.34 (step @p110 :rule instantiate :premises (@p109) :args (@t133)) % 1.13/1.34 (step @p111 :rule aci_norm :args ((= @t141 (or @t139 @t136 @t135)))) % 1.13/1.34 (step @p112 :rule cong :premises (@p111) :args (@t142)) % 1.13/1.34 (step @p113 :rule quant-merge-prenex :args ((= (forall @t8 @t144) @t142))) % 1.13/1.34 (step @p114 :rule alpha_equiv :args (@t145 (@list @t134) @t113)) % 1.13/1.34 (step @p115 :rule refl :args (@t139)) % 1.13/1.34 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t146)) % 1.13/1.34 (step @p117 :rule quant-miniscope-or :args ((= @t144 @t146))) % 1.13/1.34 (step @p118 :rule trans :premises (@p117 @p116)) % 1.13/1.34 (step @p119 :rule symm :premises (@p118)) % 1.13/1.34 (step @p120 :rule cong :premises (@p119) :args ((forall @t8 (or @t139 @t147)))) % 1.13/1.34 (step @p121 :rule trans :premises (@p120 @p113)) % 1.13/1.34 (step @p122 :rule trans :premises (@p121 @p112)) % 1.13/1.34 (step @p123 :rule refl :args (@t147)) % 1.13/1.34 (step @p124 :rule bool-or-de-morgan :args (@t138 @t137 false)) % 1.13/1.34 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t148) @t147))) % 1.13/1.34 (step @p126 :rule bool-impl-elim :args (@t148 @t147)) % 1.13/1.34 (step @p127 :rule trans :premises (@p126 @p125)) % 1.13/1.34 (step @p128 :rule cong :premises (@p127) :args ((forall @t8 (=> @t148 @t147)))) % 1.13/1.34 (step @p129 :rule trans :premises (@p128 @p122)) % 1.13/1.34 (step @p130 :rule refl :args (@t24)) % 1.13/1.34 (step @p131 :rule nary_cong :premises (@p59 @p130) :args ((or @t116 @t24))) % 1.13/1.34 (step @p132 :rule bool-impl-elim :args (@t22 @t24)) % 1.13/1.34 (step @p133 :rule trans :premises (@p132 @p131)) % 1.13/1.34 (step @p134 :rule cong :premises (@p133) :args (@t25)) % 1.13/1.34 (step @p135 :rule refl :args (@t19)) % 1.13/1.34 (step @p136 :rule nary_cong :premises (@p59 @p135) :args ((or @t116 @t19))) % 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(@t149)) % 1.13/1.34 (step @p354 :rule instantiate :premises (@p351) :args ((@list tptp.n0 @t299 @t298 @t295 @t298 @t295 @t200 @t200 @t200 @t200 @t200 @t296))) % 1.13/1.34 (step @p355 :rule cnf_and_pos :args (@t301 1)) % 1.13/1.34 (step @p356 :rule reordering :premises (@p355) :args ((or @t203 @t302))) % 1.13/1.34 (step @p357 :rule chain_m_resolution :premises (@p356 @p243) :args (@t302 @t179 @t204)) % 1.13/1.34 (step @p358 :rule and_elim :premises (@p197) :args (2)) % 1.13/1.34 (step @p359 :rule cnf_and_pos :args (@t307 1)) % 1.13/1.34 (step @p360 :rule reordering :premises (@p359) :args ((or @t95 @t308))) % 1.13/1.34 (step @p361 :rule chain_m_resolution :premises (@p360 @p358) :args (@t308 @t179 @t309)) % 1.13/1.34 (step @p362 :rule cnf_and_pos :args (@t310 1)) % 1.13/1.34 (step @p363 :rule reordering :premises (@p362) :args ((or @t95 @t311))) % 1.13/1.34 (step @p364 :rule chain_m_resolution :premises (@p363 @p358) :args (@t311 @t179 @t309)) % 1.13/1.34 (step @p365 :rule cnf_or_neg :args (@t313 0)) % 1.13/1.34 (step @p366 :rule cnf_or_neg :args (@t313 1)) % 1.13/1.34 (step @p367 :rule not_implies_elim2 :premises (@p196)) % 1.13/1.34 (step @p368 :rule not_not_elim :premises (@p367)) % 1.13/1.34 (step @p369 :rule alpha_equiv :args ((forall (@list @t314) (or (tptp.gt tptp.n0 @t314) (not (tptp.s2 @t314)) (not (forall (@list @t315) (or (not (tptp.gt @t314 @t315)) (tptp.conditionhyper @t315)))) (and (not (tptp.bcapacityne @t314)) (not (tptp.bcapacityex @t314))))) @t316 (@list @t18 @t73))) % 1.13/1.34 (step @p370 :rule alpha_equiv :args (@t317 (@list @t4 @t18) @t316)) % 1.13/1.34 (step @p371 :rule trans :premises (@p370 @p369)) % 1.13/1.34 (step @p372 :rule equiv_elim1 :premises (@p371)) % 1.13/1.34 (step @p373 :rule chain_m_resolution :premises (@p372 @p368) :args (@t322 @t174 (@list @t317))) % 1.13/1.34 (step @p374 :rule aci_norm :args ((= @t328 (or @t54 @t326 @t325 @t324)))) % 1.13/1.34 (step @p375 :rule cong :premises (@p374) :args (@t329)) % 1.13/1.34 (step @p376 :rule quant-merge-prenex :args ((= (forall @t8 @t331) @t329))) % 1.13/1.34 (step @p377 :rule refl :args (@t326)) % 1.13/1.34 (step @p378 :rule alpha_equiv :args (@t332 (@list @t323) @t113)) % 1.13/1.34 (step @p379 :rule refl :args (@t54)) % 1.13/1.34 (step @p380 :rule nary_cong :premises (@p379 @p378 @p377) :args (@t333)) % 1.13/1.34 (step @p381 :rule quant-miniscope-or :args ((= @t331 @t333))) % 1.13/1.34 (step @p382 :rule trans :premises (@p381 @p380)) % 1.13/1.34 (step @p383 :rule symm :premises (@p382)) % 1.13/1.34 (step @p384 :rule cong :premises (@p383) :args ((forall @t8 @t334))) % 1.13/1.34 (step @p385 :rule trans :premises (@p384 @p376)) % 1.13/1.34 (step @p386 :rule trans :premises (@p385 @p375)) % 1.13/1.34 (step @p387 :rule aci_norm :args ((= (or (or @t54 @t239) @t326) @t334))) % 1.13/1.34 (step @p388 :rule bool-double-not-elim :args (@t239)) % 1.13/1.34 (step @p389 :rule nary_cong :premises (@p379 @p388) :args ((or @t54 (not @t240)))) % 1.13/1.34 (step @p390 :rule bool-and-de-morgan :args (@t52 @t240 true)) % 1.13/1.34 (step @p391 :rule trans :premises (@p390 @p389)) % 1.13/1.34 (step @p392 :rule nary_cong :premises (@p391 @p377) :args ((or (not @t335) @t326))) % 1.13/1.34 (step @p393 :rule trans :premises (@p392 @p387)) % 1.13/1.34 (step @p394 :rule bool-impl-elim :args (@t335 @t326)) % 1.13/1.34 (step @p395 :rule trans :premises (@p394 @p393)) % 1.13/1.34 (step @p396 :rule cong :premises (@p395) :args ((forall @t8 (=> @t335 @t326)))) % 1.13/1.34 (step @p397 :rule trans :premises (@p396 @p386)) % 1.13/1.34 (step @p398 :rule bool-or-de-morgan :args (@t80 @t79 false)) % 1.13/1.34 (step @p399 :rule refl :args (@t320)) % 1.13/1.34 (step @p400 :rule refl :args (@t321)) % 1.13/1.34 (step @p401 :rule nary_cong :premises (@p100 @p400 @p399 @p398) :args ((or @t21 @t321 @t320 @t336))) % 1.13/1.34 (step @p402 :rule refl :args (@t336)) % 1.13/1.34 (step @p403 :rule nary_cong :premises (@p59 @p400 @p399 @p402) :args (@t337)) % 1.13/1.34 (step @p404 :rule aci_norm :args ((= (or @t116 (or @t321 (or @t320 @t336))) @t337))) % 1.13/1.34 (step @p405 :rule trans :premises (@p404 @p403)) % 1.13/1.34 (step @p406 :rule bool-and-de-morgan :args (@t319 @t81 true)) % 1.13/1.34 (step @p407 :rule nary_cong :premises (@p400 @p406) :args ((or @t321 (not (and @t319 @t81))))) % 1.13/1.34 (step @p408 :rule bool-and-de-morgan :args (@t82 @t319 (and @t81))) % 1.13/1.34 (step @p409 :rule trans :premises (@p408 @p407)) % 1.13/1.34 (step @p410 :rule refl :args (@t116)) % 1.13/1.34 (step @p411 :rule nary_cong :premises (@p410 @p409) :args ((or @t116 (not (and @t82 @t319 @t81))))) % 1.13/1.34 (step @p412 :rule bool-and-de-morgan :args (@t22 @t82 (and @t319 @t81))) % 1.13/1.34 (step @p413 :rule trans :premises (@p412 @p411)) % 1.13/1.34 (step @p414 :rule trans :premises (@p413 @p405)) % 1.13/1.34 (step @p415 :rule trans :premises (@p414 @p401)) % 1.13/1.34 (step @p416 :rule cong :premises (@p415) :args (@t339)) % 1.13/1.34 (step @p417 :rule cong :premises (@p416) :args (@t340)) % 1.13/1.34 (step @p418 :rule exists-elim :args ((= (exists @t23 @t338) @t340))) % 1.13/1.34 (step @p419 :rule trans :premises (@p418 @p417)) % 1.13/1.34 (step @p420 :rule refl :args (@t81)) % 1.13/1.34 (step @p421 :rule bool-impl-elim :args (@t75 @t74)) % 1.13/1.34 (step @p422 :rule cong :premises (@p421) :args (@t77)) % 1.13/1.34 (step @p423 :rule refl :args (@t82)) % 1.13/1.34 (step @p424 :rule refl :args (@t22)) % 1.13/1.34 (step @p425 :rule nary_cong :premises (@p424 @p423 @p422 @p420) :args (@t83)) % 1.13/1.34 (step @p426 :rule cong :premises (@p425) :args (@t84)) % 1.13/1.34 (step @p427 :rule trans :premises (@p426 @p419)) % 1.13/1.34 (step @p428 :rule cong :premises (@p347) :args (@t78)) % 1.13/1.34 (step @p429 :rule refl :args (@t52)) % 1.13/1.34 (step @p430 :rule nary_cong :premises (@p429 @p428) :args (@t85)) % 1.13/1.34 (step @p431 :rule cong :premises (@p430 @p427) :args (@t86)) % 1.13/1.34 (step @p432 :rule cong :premises (@p431) :args (@t87)) % 1.13/1.34 (step @p433 :rule trans :premises (@p432 @p397)) % 1.13/1.34 (step @p434 :rule eq_resolve :premises (@p39 @p433)) % 1.13/1.34 (step @p435 :rule instantiate :premises (@p434) :args ((@list tptp.n0 @t298))) % 1.13/1.34 (step @p436 :rule cnf_or_pos :args (@t342)) % 1.13/1.34 (step @p437 :rule reordering :premises (@p436) :args ((or @t160 @t341 @t303 @t312 (not @t342)))) % 1.13/1.34 (step @p438 :rule chain_m_resolution :premises (@p437 @p435 @p373 @p198 @p366 @p365) :args (@t313 (@list false false false true true) (@list @t342 @t322 @t98 @t312 @t303))) % 1.13/1.34 (step @p439 :rule refl :args (@t343)) % 1.13/1.34 (step @p440 :rule bool-double-not-elim :args (@t297)) % 1.13/1.34 (step @p441 :rule nary_cong :premises (@p440 @p439) :args ((or (not @t344) @t343))) % 1.13/1.34 (assume-push @p473 @t344) % 1.13/1.34 (step @p443 :rule skolemize :premises (@p473)) % 1.13/1.34 (step-pop @p474 :rule scope :premises (@p443)) % 1.13/1.34 (step @p444 :rule process_scope :premises (@p474) :args (@t343)) % 1.13/1.34 (step @p446 :rule implies_elim :premises (@p444)) % 1.13/1.34 (step @p447 :rule eq_resolve :premises (@p446 @p441)) % 1.13/1.34 (step @p448 :rule chain_m_resolution :premises (@p447 @p438) :args (@t297 @t174 (@list @t313))) % 1.13/1.34 (step @p449 :rule cnf_or_pos :args (@t347)) % 1.13/1.34 (step @p450 :rule reordering :premises (@p449) :args ((or @t344 @t310 @t307 @t346 @t301 (not @t347)))) % 1.13/1.34 (step @p451 :rule chain_m_resolution :premises (@p450 @p448 @p364 @p361 @p357 @p354) :args (@t346 @t348 (@list @t297 @t310 @t307 @t301 @t347))) % 1.13/1.34 (step @p452 :rule cnf_and_pos :args (@t346 1)) % 1.13/1.34 (step @p453 :rule reordering :premises (@p452) :args ((or @t345 (not @t346)))) % 1.13/1.34 (step @p454 :rule chain_m_resolution :premises (@p453 @p451) :args (@t345 @t174 (@list @t346))) % 1.13/1.34 (step @p455 :rule cnf_or_pos :args (@t351)) % 1.13/1.34 (step @p456 :rule reordering :premises (@p455) :args ((or @t350 @t349 (not @t351)))) % 1.13/1.34 (step @p457 :rule chain_m_resolution :premises (@p456 @p454 @p353) :args (@t349 @t162 (@list @t345 @t351))) % 1.13/1.34 (step @p458 :rule cnf_and_pos :args (@t353 2)) % 1.13/1.34 (step @p459 :rule reordering :premises (@p458) :args ((or @t300 @t354))) % 1.13/1.34 (step @p460 :rule chain_m_resolution :premises (@p459 @p457) :args (@t354 @t179 (@list @t300))) % 1.13/1.34 (step @p461 :rule cnf_and_pos :args (@t356 1)) % 1.13/1.34 (step @p462 :rule reordering :premises (@p461) :args ((or @t95 @t357))) % 1.13/1.34 (step @p463 :rule chain_m_resolution :premises (@p462 @p358) :args (@t357 @t179 @t309)) % 1.13/1.34 (step @p464 :rule cnf_and_pos :args (@t358 1)) % 1.13/1.34 (step @p465 :rule reordering :premises (@p464) :args ((or @t95 @t359))) % 1.13/1.34 (step @p466 :rule chain_m_resolution :premises (@p465 @p358) :args (@t359 @t179 @t309)) % 1.13/1.34 (step @p467 :rule cnf_or_pos :args (@t361)) % 1.13/1.34 (step @p468 :rule reordering :premises (@p467) :args ((or @t344 @t358 @t356 @t360 @t353 (not @t361)))) % 1.13/1.34 (step @p469 :rule chain_m_resolution :premises (@p468 @p448 @p466 @p463 @p460 @p352) :args (@t360 @t348 (@list @t297 @t358 @t356 @t353 @t361))) % 1.13/1.34 (step @p470 :rule cnf_and_pos :args (@t360 0)) % 1.13/1.34 (step @p471 :rule reordering :premises (@p470) :args ((or @t206 (not @t360)))) % 1.13/1.34 (step @p472 false :rule chain_m_resolution :premises (@p471 @p469 @p250) :args (false (@list false true) (@list @t360 @t206))) % 1.13/1.34 ) % 1.13/1.34 % SZS output end Proof % 1.13/1.34 % cvc5 exiting %------------------------------------------------------------------------------