%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MED005+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 : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:35:25 AM UTC 2026 % Result : Theorem 0.44s 0.68s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : MED005+1 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n007.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 09:39:56 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.68 % SZS status Theorem % 0.44/0.68 % SZS output start Proof % 0.44/0.68 ( % 0.44/0.68 (declare-sort $$unsorted 0) % 0.44/0.68 (declare-const tptp.s0 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.s1 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.s3 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.qillt27 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.drugbg (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.n0 $$unsorted) % 0.44/0.68 (declare-const tptp.bcapacityex (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.s2 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.releaselg (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.bcapacityne (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.qilt27 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.conditionnormo (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.bcapacitysn (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.drugsu (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.conditionhypo (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.conditionhyper (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.uptakepg (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.uptakelg (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.drugi (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.bsecretioni (-> $$unsorted Bool)) % 0.44/0.68 (define @t1 () (@var "X" $$unsorted)) % 0.44/0.68 (define @t2 () (@var "Z" $$unsorted)) % 0.44/0.68 (define @t3 () (@var "Y" $$unsorted)) % 0.44/0.68 (define @t4 () (@var "X0" $$unsorted)) % 0.44/0.68 (define @t5 () (tptp.bcapacitysn @t4)) % 0.44/0.68 (define @t6 () (tptp.bcapacityex @t4)) % 0.44/0.68 (define @t7 () (tptp.bcapacityne @t4)) % 0.44/0.68 (define @t8 () (@list @t4)) % 0.44/0.68 (define @t9 () (not @t6)) % 0.44/0.68 (define @t10 () (not @t7)) % 0.44/0.68 (define @t11 () (not @t5)) % 0.44/0.68 (define @t12 () (tptp.conditionnormo @t4)) % 0.44/0.68 (define @t13 () (tptp.conditionhypo @t4)) % 0.44/0.68 (define @t14 () (tptp.conditionhyper @t4)) % 0.44/0.68 (define @t15 () (not @t13)) % 0.44/0.68 (define @t16 () (not @t14)) % 0.44/0.68 (define @t17 () (not @t12)) % 0.44/0.68 (define @t18 () (@var "X1" $$unsorted)) % 0.44/0.68 (define @t19 () (tptp.uptakepg @t18)) % 0.44/0.68 (define @t20 () (tptp.uptakelg @t18)) % 0.44/0.68 (define @t21 () (tptp.gt @t4 @t18)) % 0.44/0.68 (define @t22 () (not @t21)) % 0.44/0.68 (define @t23 () (@list @t18)) % 0.44/0.68 (define @t24 () (tptp.drugi @t18)) % 0.44/0.68 (define @t25 () (forall @t23 (=> @t22 @t24))) % 0.44/0.68 (define @t26 () (tptp.releaselg @t18)) % 0.44/0.68 (define @t27 () (not @t26)) % 0.44/0.68 (define @t28 () (@list @t4 @t18)) % 0.44/0.68 (define @t29 () (tptp.bsecretioni @t18)) % 0.44/0.68 (define @t30 () (forall @t23 (=> @t22 @t29))) % 0.44/0.68 (define @t31 () (tptp.drugsu @t18)) % 0.44/0.68 (define @t32 () (forall @t23 (=> @t22 @t31))) % 0.44/0.68 (define @t33 () (and @t32 @t9)) % 0.44/0.68 (define @t34 () (forall @t23 (=> @t22 @t27))) % 0.44/0.68 (define @t35 () (forall @t23 (=> @t22 (tptp.drugbg @t18)))) % 0.44/0.68 (define @t36 () (tptp.conditionnormo @t18)) % 0.44/0.68 (define @t37 () (forall @t23 (=> @t22 @t36))) % 0.44/0.68 (define @t38 () (tptp.conditionhyper @t18)) % 0.44/0.68 (define @t39 () (forall @t23 (=> @t21 @t38))) % 0.44/0.68 (define @t40 () (tptp.qilt27 @t4)) % 0.44/0.68 (define @t41 () (and @t30 @t5 @t40 @t39)) % 0.44/0.68 (define @t42 () (not @t40)) % 0.44/0.68 (define @t43 () (and @t34 @t5 @t42 @t39)) % 0.44/0.68 (define @t44 () (forall @t23 (=> @t22 @t19))) % 0.44/0.68 (define @t45 () (or @t34 @t44)) % 0.44/0.68 (define @t46 () (and @t45 @t7 @t30 @t39)) % 0.44/0.68 (define @t47 () (forall @t23 (=> @t22 @t20))) % 0.44/0.68 (define @t48 () (and @t47 @t44 @t6 @t39)) % 0.44/0.68 (define @t49 () (tptp.s3 @t4)) % 0.44/0.68 (define @t50 () (tptp.s2 @t4)) % 0.44/0.68 (define @t51 () (tptp.s1 @t4)) % 0.44/0.68 (define @t52 () (tptp.s0 @t4)) % 0.44/0.68 (define @t53 () (not @t51)) % 0.44/0.68 (define @t54 () (not @t52)) % 0.44/0.68 (define @t55 () (not @t50)) % 0.44/0.68 (define @t56 () (not @t49)) % 0.44/0.68 (define @t57 () (or @t41 @t43 @t46 @t48)) % 0.44/0.68 (define @t58 () (=> @t37 @t57)) % 0.44/0.68 (define @t59 () (forall @t8 @t58)) % 0.44/0.68 (define @t60 () (tptp.drugsu @t4)) % 0.44/0.68 (define @t61 () (tptp.drugbg @t4)) % 0.44/0.68 (define @t62 () (and @t51 @t42)) % 0.44/0.68 (define @t63 () (tptp.drugi @t4)) % 0.44/0.68 (define @t64 () (and @t51 (tptp.qillt27 @t4))) % 0.44/0.68 (define @t65 () (or @t64 @t50 @t49)) % 0.44/0.68 (define @t66 () (forall @t8 (=> @t60 @t65))) % 0.44/0.68 (define @t67 () (forall @t8 (=> @t63 @t49))) % 0.44/0.68 (define @t68 () (or @t47 @t44)) % 0.44/0.68 (define @t69 () (=> @t68 @t25)) % 0.44/0.68 (define @t70 () (forall @t8 @t69)) % 0.44/0.68 (define @t71 () (=> @t27 @t20)) % 0.44/0.68 (define @t72 () (forall @t28 (=> @t22 @t71))) % 0.44/0.68 (define @t73 () (=> @t30 @t33)) % 0.44/0.68 (define @t74 () (forall @t8 @t73)) % 0.44/0.68 (define @t75 () (@var "X2" $$unsorted)) % 0.44/0.68 (define @t76 () (tptp.conditionhyper @t75)) % 0.44/0.68 (define @t77 () (tptp.gt @t18 @t75)) % 0.44/0.68 (define @t78 () (@list @t75)) % 0.44/0.68 (define @t79 () (forall @t78 (=> @t77 @t76))) % 0.44/0.68 (define @t80 () (tptp.s1 @t18)) % 0.44/0.68 (define @t81 () (and @t22 @t80 @t79)) % 0.44/0.68 (define @t82 () (exists @t23 @t81)) % 0.44/0.68 (define @t83 () (not @t37)) % 0.44/0.68 (define @t84 () (and @t52 @t83)) % 0.44/0.68 (define @t85 () (=> @t84 @t82)) % 0.44/0.68 (define @t86 () (forall @t8 @t85)) % 0.44/0.68 (define @t87 () (tptp.bcapacityex @t18)) % 0.44/0.68 (define @t88 () (tptp.gt tptp.n0 @t4)) % 0.44/0.68 (define @t89 () (not @t88)) % 0.44/0.68 (define @t90 () (and @t89 @t51 @t39)) % 0.44/0.68 (define @t91 () (exists @t8 @t90)) % 0.44/0.68 (define @t92 () (forall @t8 (=> @t88 @t14))) % 0.44/0.68 (define @t93 () (tptp.s0 tptp.n0)) % 0.44/0.68 (define @t94 () (and @t93 @t92)) % 0.44/0.68 (define @t95 () (=> @t94 @t91)) % 0.44/0.68 (define @t96 () (not @t95)) % 0.44/0.68 (define @t97 () (not @t22)) % 0.44/0.68 (define @t98 () (tptp.gt tptp.n0 @t18)) % 0.44/0.68 (define @t99 () (forall @t23 (or @t98 @t20))) % 0.44/0.68 (define @t100 () (@quantifiers_skolemize @t99 0)) % 0.44/0.68 (define @t101 () (@var "BOUND_VARIABLE_7924" $$unsorted)) % 0.44/0.68 (define @t102 () (tptp.drugi @t101)) % 0.44/0.68 (define @t103 () (tptp.gt @t4 @t101)) % 0.44/0.68 (define @t104 () (forall @t23 (or @t21 @t19))) % 0.44/0.68 (define @t105 () (forall @t23 (or @t21 @t20))) % 0.44/0.68 (define @t106 () (and (not @t105) (not @t104))) % 0.44/0.68 (define @t107 () (or @t103 @t102)) % 0.44/0.68 (define @t108 () (or @t106 @t107)) % 0.44/0.68 (define @t109 () (forall (@list @t4 @t101) @t108)) % 0.44/0.68 (define @t110 () (@list @t101)) % 0.44/0.68 (define @t111 () (forall @t110 @t108)) % 0.44/0.68 (define @t112 () (forall @t110 @t107)) % 0.44/0.68 (define @t113 () (@list @t18)) % 0.44/0.68 (define @t114 () (or @t106 @t112)) % 0.44/0.68 (define @t115 () (forall @t23 (or @t21 @t24))) % 0.44/0.68 (define @t116 () (or @t105 @t104)) % 0.44/0.68 (define @t117 () (@list tptp.n0 tptp.n0)) % 0.44/0.68 (define @t118 () (@list tptp.n0)) % 0.44/0.68 (define @t119 () (forall @t23 (or @t22 @t38))) % 0.44/0.68 (define @t120 () (not @t119)) % 0.44/0.68 (define @t121 () (not @t89)) % 0.44/0.68 (define @t122 () (or @t121 @t53 @t120)) % 0.44/0.68 (define @t123 () (and @t89 @t51 @t119)) % 0.44/0.68 (define @t124 () (forall @t8 (not @t123))) % 0.44/0.68 (define @t125 () (not @t124)) % 0.44/0.68 (define @t126 () (tptp.s3 tptp.n0)) % 0.44/0.68 (define @t127 () (not @t126)) % 0.44/0.68 (define @t128 () (not @t93)) % 0.44/0.68 (define @t129 () (or @t128 @t127)) % 0.44/0.68 (define @t130 () (@list false false)) % 0.44/0.68 (define @t131 () (tptp.drugi tptp.n0)) % 0.44/0.68 (define @t132 () (not @t131)) % 0.44/0.68 (define @t133 () (or @t132 @t126)) % 0.44/0.68 (define @t134 () (@list true false)) % 0.44/0.68 (define @t135 () (tptp.gt tptp.n0 tptp.n0)) % 0.44/0.68 (define @t136 () (forall @t23 (or @t98 @t19))) % 0.44/0.68 (define @t137 () (not @t99)) % 0.44/0.68 (define @t138 () (and @t137 (not @t136))) % 0.44/0.68 (define @t139 () (or @t138 @t135 @t131)) % 0.44/0.68 (define @t140 () (@list true true false)) % 0.44/0.68 (define @t141 () (@list false)) % 0.44/0.68 (define @t142 () (tptp.uptakelg @t100)) % 0.44/0.68 (define @t143 () (tptp.gt tptp.n0 @t100)) % 0.44/0.68 (define @t144 () (or @t143 @t142)) % 0.44/0.68 (define @t145 () (@list true)) % 0.44/0.68 (define @t146 () (@list @t144)) % 0.44/0.68 (define @t147 () (tptp.releaselg @t100)) % 0.44/0.68 (define @t148 () (or @t143 @t147 @t142)) % 0.44/0.68 (define @t149 () (not @t147)) % 0.44/0.68 (define @t150 () (or @t143 @t149)) % 0.44/0.68 (define @t151 () (not @t150)) % 0.44/0.68 (define @t152 () (@var "BOUND_VARIABLE_7874" $$unsorted)) % 0.44/0.68 (define @t153 () (or (not (tptp.gt @t4 @t152)) (tptp.conditionhyper @t152))) % 0.44/0.68 (define @t154 () (@var "BOUND_VARIABLE_7868" $$unsorted)) % 0.44/0.68 (define @t155 () (or (tptp.gt @t4 @t154) (tptp.uptakepg @t154))) % 0.44/0.68 (define @t156 () (@var "BOUND_VARIABLE_7863" $$unsorted)) % 0.44/0.68 (define @t157 () (or (tptp.gt @t4 @t156) (tptp.uptakelg @t156))) % 0.44/0.68 (define @t158 () (and @t157 @t155 @t6 @t153)) % 0.44/0.68 (define @t159 () (@var "BOUND_VARIABLE_7856" $$unsorted)) % 0.44/0.68 (define @t160 () (or (not (tptp.gt @t4 @t159)) (tptp.conditionhyper @t159))) % 0.44/0.68 (define @t161 () (@var "BOUND_VARIABLE_7851" $$unsorted)) % 0.44/0.68 (define @t162 () (or (tptp.gt @t4 @t161) (tptp.bsecretioni @t161))) % 0.44/0.68 (define @t163 () (@var "BOUND_VARIABLE_7845" $$unsorted)) % 0.44/0.68 (define @t164 () (tptp.uptakepg @t163)) % 0.44/0.68 (define @t165 () (tptp.gt @t4 @t163)) % 0.44/0.68 (define @t166 () (@var "BOUND_VARIABLE_7839" $$unsorted)) % 0.44/0.68 (define @t167 () (not (tptp.releaselg @t166))) % 0.44/0.68 (define @t168 () (tptp.gt @t4 @t166)) % 0.44/0.68 (define @t169 () (or @t165 @t164)) % 0.44/0.68 (define @t170 () (or @t168 @t167)) % 0.44/0.68 (define @t171 () (or @t170 @t169)) % 0.44/0.68 (define @t172 () (and @t171 @t7 @t162 @t160)) % 0.44/0.68 (define @t173 () (@var "BOUND_VARIABLE_7832" $$unsorted)) % 0.44/0.68 (define @t174 () (or (not (tptp.gt @t4 @t173)) (tptp.conditionhyper @t173))) % 0.44/0.68 (define @t175 () (@var "BOUND_VARIABLE_7826" $$unsorted)) % 0.44/0.68 (define @t176 () (or (tptp.gt @t4 @t175) (not (tptp.releaselg @t175)))) % 0.44/0.68 (define @t177 () (and @t176 @t5 @t42 @t174)) % 0.44/0.68 (define @t178 () (@var "BOUND_VARIABLE_7819" $$unsorted)) % 0.44/0.68 (define @t179 () (or (not (tptp.gt @t4 @t178)) (tptp.conditionhyper @t178))) % 0.44/0.68 (define @t180 () (@var "BOUND_VARIABLE_7814" $$unsorted)) % 0.44/0.68 (define @t181 () (or (tptp.gt @t4 @t180) (tptp.bsecretioni @t180))) % 0.44/0.68 (define @t182 () (and @t181 @t5 @t40 @t179)) % 0.44/0.68 (define @t183 () (forall @t23 (or @t21 @t36))) % 0.44/0.68 (define @t184 () (not @t183)) % 0.44/0.68 (define @t185 () (or @t184 @t182 @t177 @t172 @t158)) % 0.44/0.68 (define @t186 () (forall (@list @t4 @t180 @t178 @t175 @t173 @t166 @t163 @t161 @t159 @t156 @t154 @t152) @t185)) % 0.44/0.68 (define @t187 () (forall (@list @t180 @t178 @t175 @t173 @t166 @t163 @t161 @t159 @t156 @t154 @t152) @t185)) % 0.44/0.68 (define @t188 () (forall (@list @t152) @t153)) % 0.44/0.68 (define @t189 () (@list @t156 @t154 @t152)) % 0.44/0.68 (define @t190 () (forall @t189 @t153)) % 0.44/0.68 (define @t191 () (forall @t189 @t6)) % 0.44/0.68 (define @t192 () (forall (@list @t154) @t155)) % 0.44/0.68 (define @t193 () (forall @t189 @t155)) % 0.44/0.68 (define @t194 () (forall (@list @t156) @t157)) % 0.44/0.68 (define @t195 () (forall @t189 @t157)) % 0.44/0.68 (define @t196 () (and @t195 @t193 @t191 @t190)) % 0.44/0.68 (define @t197 () (forall @t189 @t158)) % 0.44/0.68 (define @t198 () (forall (@list @t159) @t160)) % 0.44/0.68 (define @t199 () (@list @t166 @t163 @t161 @t159)) % 0.44/0.68 (define @t200 () (forall @t199 @t160)) % 0.44/0.68 (define @t201 () (forall (@list @t161) @t162)) % 0.44/0.68 (define @t202 () (forall @t199 @t162)) % 0.44/0.68 (define @t203 () (forall @t199 @t7)) % 0.44/0.68 (define @t204 () (forall (@list @t163) @t169)) % 0.44/0.68 (define @t205 () (forall (@list @t166) @t170)) % 0.44/0.68 (define @t206 () (or @t205 @t204)) % 0.44/0.68 (define @t207 () (forall (@list @t166 @t163) @t171)) % 0.44/0.68 (define @t208 () (forall @t199 @t171)) % 0.44/0.68 (define @t209 () (and @t208 @t203 @t202 @t200)) % 0.44/0.68 (define @t210 () (forall @t199 @t172)) % 0.44/0.68 (define @t211 () (forall (@list @t173) @t174)) % 0.44/0.68 (define @t212 () (@list @t175 @t173)) % 0.44/0.68 (define @t213 () (forall @t212 @t174)) % 0.44/0.68 (define @t214 () (forall @t212 @t42)) % 0.44/0.68 (define @t215 () (forall @t212 @t5)) % 0.44/0.68 (define @t216 () (forall (@list @t175) @t176)) % 0.44/0.68 (define @t217 () (forall @t212 @t176)) % 0.44/0.68 (define @t218 () (and @t217 @t215 @t214 @t213)) % 0.44/0.68 (define @t219 () (forall @t212 @t177)) % 0.44/0.68 (define @t220 () (forall (@list @t178) @t179)) % 0.44/0.68 (define @t221 () (@list @t180 @t178)) % 0.44/0.68 (define @t222 () (forall @t221 @t179)) % 0.44/0.68 (define @t223 () (forall @t221 @t40)) % 0.44/0.68 (define @t224 () (forall @t221 @t5)) % 0.44/0.68 (define @t225 () (forall (@list @t180) @t181)) % 0.44/0.68 (define @t226 () (forall @t221 @t181)) % 0.44/0.68 (define @t227 () (and @t226 @t224 @t223 @t222)) % 0.44/0.68 (define @t228 () (forall @t221 @t182)) % 0.44/0.68 (define @t229 () (or @t184 @t228 @t219 @t210 @t197)) % 0.44/0.68 (define @t230 () (and @t105 @t104 @t6 @t119)) % 0.44/0.68 (define @t231 () (forall @t23 (or @t21 @t29))) % 0.44/0.68 (define @t232 () (forall @t23 (or @t21 @t27))) % 0.44/0.68 (define @t233 () (and (or @t232 @t104) @t7 @t231 @t119)) % 0.44/0.68 (define @t234 () (and @t232 @t5 @t42 @t119)) % 0.44/0.68 (define @t235 () (and @t231 @t5 @t40 @t119)) % 0.44/0.68 (define @t236 () (or @t184 @t235 @t234 @t233 @t230)) % 0.44/0.68 (define @t237 () (or @t235 @t234 @t233 @t230)) % 0.44/0.68 (define @t238 () (@quantifiers_skolemize (forall @t23 (or @t98 @t27)) 0)) % 0.44/0.68 (define @t239 () (@quantifiers_skolemize @t136 0)) % 0.44/0.68 (define @t240 () (forall @t23 (or @t98 @t29))) % 0.44/0.68 (define @t241 () (@quantifiers_skolemize @t240 0)) % 0.44/0.68 (define @t242 () (forall @t23 (or @t98 @t36))) % 0.44/0.68 (define @t243 () (@quantifiers_skolemize @t242 0)) % 0.44/0.68 (define @t244 () (tptp.gt tptp.n0 @t238)) % 0.44/0.68 (define @t245 () (or (not @t244) (tptp.conditionhyper @t238))) % 0.44/0.68 (define @t246 () (tptp.bcapacityex tptp.n0)) % 0.44/0.68 (define @t247 () (tptp.uptakepg @t239)) % 0.44/0.68 (define @t248 () (tptp.gt tptp.n0 @t239)) % 0.44/0.68 (define @t249 () (and @t144 (or @t248 @t247) @t246 @t245)) % 0.44/0.68 (define @t250 () (not @t249)) % 0.44/0.68 (define @t251 () (@var "BOUND_VARIABLE_7943" $$unsorted)) % 0.44/0.68 (define @t252 () (or (tptp.gt @t4 @t251) (tptp.drugsu @t251))) % 0.44/0.68 (define @t253 () (and @t252 @t9)) % 0.44/0.68 (define @t254 () (not @t231)) % 0.44/0.68 (define @t255 () (or @t254 @t253)) % 0.44/0.68 (define @t256 () (@list @t251)) % 0.44/0.68 (define @t257 () (forall @t256 @t255)) % 0.44/0.68 (define @t258 () (forall @t256 @t9)) % 0.44/0.68 (define @t259 () (forall @t256 @t252)) % 0.44/0.68 (define @t260 () (and @t259 @t258)) % 0.44/0.68 (define @t261 () (forall @t256 @t253)) % 0.44/0.68 (define @t262 () (or @t254 @t261)) % 0.44/0.68 (define @t263 () (and (forall @t23 (or @t21 @t31)) @t9)) % 0.44/0.68 (define @t264 () (not @t60)) % 0.44/0.68 (define @t265 () (tptp.s1 tptp.n0)) % 0.44/0.68 (define @t266 () (not @t265)) % 0.44/0.68 (define @t267 () (or @t128 @t266)) % 0.44/0.68 (define @t268 () (and @t265 (tptp.qillt27 tptp.n0))) % 0.44/0.68 (define @t269 () (not @t268)) % 0.44/0.68 (define @t270 () (tptp.s2 tptp.n0)) % 0.44/0.68 (define @t271 () (not @t270)) % 0.44/0.68 (define @t272 () (or @t128 @t271)) % 0.44/0.68 (define @t273 () (tptp.drugsu tptp.n0)) % 0.44/0.68 (define @t274 () (not @t273)) % 0.44/0.68 (define @t275 () (or @t274 @t268 @t270 @t126)) % 0.44/0.68 (define @t276 () (or @t135 @t273)) % 0.44/0.68 (define @t277 () (not @t276)) % 0.44/0.68 (define @t278 () (and @t276 (not @t246))) % 0.44/0.68 (define @t279 () (not @t278)) % 0.44/0.68 (define @t280 () (not @t240)) % 0.44/0.68 (define @t281 () (or @t280 @t278)) % 0.44/0.68 (define @t282 () (or (tptp.gt tptp.n0 @t241) (tptp.bsecretioni @t241))) % 0.44/0.68 (define @t283 () (and (or @t244 (not (tptp.releaselg @t238)) @t248 @t247) (tptp.bcapacityne tptp.n0) @t282 @t245)) % 0.44/0.68 (define @t284 () (not @t283)) % 0.44/0.68 (define @t285 () (@list @t282)) % 0.44/0.68 (define @t286 () (tptp.gt tptp.n0 @t243)) % 0.44/0.68 (define @t287 () (or (not @t286) (tptp.conditionhyper @t243))) % 0.44/0.68 (define @t288 () (tptp.qilt27 tptp.n0)) % 0.44/0.68 (define @t289 () (tptp.bcapacitysn tptp.n0)) % 0.44/0.68 (define @t290 () (and @t282 @t289 @t288 @t287)) % 0.44/0.68 (define @t291 () (not @t290)) % 0.44/0.68 (define @t292 () (tptp.conditionnormo @t243)) % 0.44/0.68 (define @t293 () (or @t286 @t292)) % 0.44/0.68 (define @t294 () (@var "BOUND_VARIABLE_10271" $$unsorted)) % 0.44/0.68 (define @t295 () (@var "BOUND_VARIABLE_10270" $$unsorted)) % 0.44/0.68 (define @t296 () (@list @t295 @t294)) % 0.44/0.68 (define @t297 () (forall @t8 (or @t88 @t53 @t120))) % 0.44/0.68 (define @t298 () (forall @t78 (or (not @t77) @t76))) % 0.44/0.68 (define @t299 () (not @t298)) % 0.44/0.68 (define @t300 () (not @t80)) % 0.44/0.68 (define @t301 () (forall @t23 (or @t98 @t300 @t299))) % 0.44/0.68 (define @t302 () (@var "BOUND_VARIABLE_7988" $$unsorted)) % 0.44/0.68 (define @t303 () (tptp.conditionnormo @t302)) % 0.44/0.68 (define @t304 () (tptp.gt @t4 @t302)) % 0.44/0.68 (define @t305 () (not (forall @t23 (or @t21 @t300 @t299)))) % 0.44/0.68 (define @t306 () (or @t304 @t303)) % 0.44/0.68 (define @t307 () (or @t54 @t306 @t305)) % 0.44/0.68 (define @t308 () (forall (@list @t4 @t302) @t307)) % 0.44/0.68 (define @t309 () (@list @t302)) % 0.44/0.68 (define @t310 () (forall @t309 @t307)) % 0.44/0.68 (define @t311 () (forall @t309 @t306)) % 0.44/0.68 (define @t312 () (or @t54 @t311 @t305)) % 0.44/0.68 (define @t313 () (or @t54 @t183 @t305)) % 0.44/0.68 (define @t314 () (and @t52 @t184)) % 0.44/0.68 (define @t315 () (or @t97 @t300 @t299)) % 0.44/0.68 (define @t316 () (and @t22 @t80 @t298)) % 0.44/0.68 (define @t317 () (forall @t23 (not @t316))) % 0.44/0.68 (define @t318 () (not @t317)) % 0.44/0.68 (define @t319 () (not @t301)) % 0.44/0.68 (define @t320 () (or @t128 @t319 @t286 @t292)) % 0.44/0.68 (define @t321 () (not @t293)) % 0.44/0.68 (define @t322 () (not @t242)) % 0.44/0.68 (define @t323 () (and @t150 @t289 (not @t288) @t287)) % 0.44/0.68 (define @t324 () (or @t322 @t290 @t323 @t283 @t249)) % 0.44/0.68 (assume @p1 (forall (@list @t1) (not (tptp.gt @t1 @t1)))) % 0.44/0.68 (assume @p2 (forall (@list @t1 @t3 @t2) (=> (and (tptp.gt @t1 @t3) (tptp.gt @t3 @t2)) (tptp.gt @t1 @t2)))) % 0.44/0.68 (assume @p3 (forall @t8 (or @t7 @t6 @t5))) % 0.44/0.68 (assume @p4 (forall @t8 (or @t10 @t9))) % 0.44/0.68 (assume @p5 (forall @t8 (or @t10 @t11))) % 0.44/0.68 (assume @p6 (forall @t8 (or @t9 @t11))) % 0.44/0.68 (assume @p7 (forall @t8 (or @t14 @t13 @t12))) % 0.44/0.68 (assume @p8 (forall @t8 (or @t16 @t15))) % 0.44/0.68 (assume @p9 (forall @t8 (or @t16 @t17))) % 0.44/0.68 (assume @p10 (forall @t8 (or @t15 @t17))) % 0.44/0.68 (assume @p11 (forall @t8 (=> @t25 (forall @t23 (=> @t22 (and @t20 @t19)))))) % 0.44/0.68 (assume @p12 (forall @t28 (=> @t22 (=> @t20 @t27)))) % 0.44/0.68 (assume @p13 (forall @t8 (=> @t33 @t30))) % 0.44/0.68 (assume @p14 (forall @t8 (=> @t35 @t34))) % 0.44/0.68 (assume @p15 (forall @t8 (=> @t41 @t37))) % 0.44/0.68 (assume @p16 (forall @t8 (=> @t43 @t37))) % 0.44/0.68 (assume @p17 (forall @t8 (=> @t46 @t37))) % 0.44/0.68 (assume @p18 (forall @t8 (=> @t48 (forall @t23 (=> @t22 (or @t36 (tptp.conditionhypo @t18))))))) % 0.44/0.68 (assume @p19 (forall @t8 (or @t52 @t51 @t50 @t49))) % 0.44/0.68 (assume @p20 (forall @t8 (or @t54 @t53))) % 0.44/0.68 (assume @p21 (forall @t8 (or @t54 @t55))) % 0.44/0.68 (assume @p22 (forall @t8 (or @t54 @t56))) % 0.44/0.68 (assume @p23 (forall @t8 (or @t53 @t55))) % 0.44/0.68 (assume @p24 (forall @t8 (or @t53 @t56))) % 0.44/0.68 (assume @p25 (forall @t8 (or @t55 @t56))) % 0.44/0.68 (assume @p26 @t59) % 0.44/0.68 (assume @p27 (forall @t8 (=> (and @t51 @t40) @t60))) % 0.44/0.68 (assume @p28 (forall @t8 (=> @t62 @t61))) % 0.44/0.68 (assume @p29 (forall @t8 (=> @t50 (and @t61 @t60)))) % 0.44/0.68 (assume @p30 (forall @t8 (=> @t49 (or (and @t63 (or @t60 @t61)) @t63)))) % 0.44/0.68 (assume @p31 (forall @t8 (=> @t61 (or @t62 @t50 @t49)))) % 0.44/0.68 (assume @p32 @t66) % 0.44/0.68 (assume @p33 @t67) % 0.44/0.68 (assume @p34 @t70) % 0.44/0.68 (assume @p35 @t72) % 0.44/0.68 (assume @p36 @t74) % 0.44/0.68 (assume @p37 (forall @t8 (=> @t34 @t35))) % 0.44/0.68 (assume @p38 @t86) % 0.44/0.68 (assume @p39 (forall @t8 (=> (and @t51 @t83) (exists @t23 (and @t22 (tptp.s2 @t18) @t79 (or (tptp.bcapacityne @t18) @t87)))))) % 0.44/0.68 (assume @p40 (forall @t8 (=> (and @t50 @t83) (exists @t23 (and @t22 (tptp.s3 @t18) @t79 @t87))))) % 0.44/0.68 (assume @p41 @t96) % 0.44/0.68 (assume @p42 true) % 0.44/0.68 (step @p43 :rule aci_norm :args ((= (or @t21 (or @t26 @t20)) (or @t21 @t26 @t20)))) % 0.44/0.68 (step @p44 :rule refl :args (@t20)) % 0.44/0.68 (step @p45 :rule bool-double-not-elim :args (@t26)) % 0.44/0.68 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or (not @t27) @t20))) % 0.44/0.68 (step @p47 :rule bool-impl-elim :args (@t27 @t20)) % 0.44/0.68 (step @p48 :rule trans :premises (@p47 @p46)) % 0.44/0.68 (step @p49 :rule refl :args (@t21)) % 0.44/0.68 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t21 @t71))) % 0.44/0.68 (step @p51 :rule trans :premises (@p50 @p43)) % 0.44/0.68 (step @p52 :rule refl :args (@t71)) % 0.44/0.68 (step @p53 :rule bool-double-not-elim :args (@t21)) % 0.44/0.68 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t97 @t71))) % 0.44/0.68 (step @p55 :rule bool-impl-elim :args (@t22 @t71)) % 0.44/0.68 (step @p56 :rule trans :premises (@p55 @p54)) % 0.44/0.68 (step @p57 :rule trans :premises (@p56 @p51)) % 0.44/0.68 (step @p58 :rule cong :premises (@p57) :args (@t72)) % 0.44/0.68 (step @p59 :rule eq_resolve :premises (@p35 @p58)) % 0.44/0.68 (step @p60 :rule instantiate :premises (@p59) :args ((@list tptp.n0 @t100))) % 0.44/0.68 (step @p61 :rule aci_norm :args ((= @t108 (or @t106 @t103 @t102)))) % 0.44/0.68 (step @p62 :rule cong :premises (@p61) :args (@t109)) % 0.44/0.68 (step @p63 :rule quant-merge-prenex :args ((= (forall @t8 @t111) @t109))) % 0.44/0.68 (step @p64 :rule alpha_equiv :args (@t112 (@list @t101) @t113)) % 0.44/0.68 (step @p65 :rule refl :args (@t106)) % 0.44/0.68 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t114)) % 0.44/0.68 (step @p67 :rule quant-miniscope-or :args ((= @t111 @t114))) % 0.44/0.68 (step @p68 :rule trans :premises (@p67 @p66)) % 0.44/0.68 (step @p69 :rule symm :premises (@p68)) % 0.44/0.68 (step @p70 :rule cong :premises (@p69) :args ((forall @t8 (or @t106 @t115)))) % 0.44/0.68 (step @p71 :rule trans :premises (@p70 @p63)) % 0.44/0.68 (step @p72 :rule trans :premises (@p71 @p62)) % 0.44/0.68 (step @p73 :rule refl :args (@t115)) % 0.44/0.68 (step @p74 :rule bool-or-de-morgan :args (@t105 @t104 false)) % 0.44/0.68 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not @t116) @t115))) % 0.44/0.68 (step @p76 :rule bool-impl-elim :args (@t116 @t115)) % 0.44/0.68 (step @p77 :rule trans :premises (@p76 @p75)) % 0.44/0.68 (step @p78 :rule cong :premises (@p77) :args ((forall @t8 (=> @t116 @t115)))) % 0.44/0.68 (step @p79 :rule trans :premises (@p78 @p72)) % 0.44/0.68 (step @p80 :rule refl :args (@t24)) % 0.44/0.68 (step @p81 :rule nary_cong :premises (@p53 @p80) :args ((or @t97 @t24))) % 0.44/0.68 (step @p82 :rule bool-impl-elim :args (@t22 @t24)) % 0.44/0.68 (step @p83 :rule trans :premises (@p82 @p81)) % 0.44/0.68 (step @p84 :rule cong :premises (@p83) :args (@t25)) % 0.44/0.68 (step @p85 :rule refl :args (@t19)) % 0.44/0.68 (step @p86 :rule nary_cong :premises (@p53 @p85) :args ((or @t97 @t19))) % 0.44/0.68 (step @p87 :rule bool-impl-elim :args (@t22 @t19)) % 0.44/0.68 (step @p88 :rule trans :premises (@p87 @p86)) % 0.44/0.68 (step @p89 :rule cong :premises (@p88) :args (@t44)) % 0.44/0.68 (step @p90 :rule nary_cong :premises (@p53 @p44) :args ((or @t97 @t20))) % 0.44/0.68 (step @p91 :rule bool-impl-elim :args (@t22 @t20)) % 0.44/0.68 (step @p92 :rule trans :premises (@p91 @p90)) % 0.44/0.68 (step @p93 :rule cong :premises (@p92) :args (@t47)) % 0.44/0.68 (step @p94 :rule nary_cong :premises (@p93 @p89) :args (@t68)) % 0.44/0.68 (step @p95 :rule cong :premises (@p94 @p84) :args (@t69)) % 0.44/0.68 (step @p96 :rule cong :premises (@p95) :args (@t70)) % 0.44/0.68 (step @p97 :rule trans :premises (@p96 @p79)) % 0.44/0.68 (step @p98 :rule eq_resolve :premises (@p34 @p97)) % 0.44/0.68 (step @p99 :rule instantiate :premises (@p98) :args (@t117)) % 0.44/0.68 (step @p100 :rule instantiate :premises (@p1) :args (@t118)) % 0.44/0.68 (step @p101 :rule bool-impl-elim :args (@t63 @t49)) % 0.44/0.68 (step @p102 :rule cong :premises (@p101) :args (@t67)) % 0.44/0.68 (step @p103 :rule eq_resolve :premises (@p33 @p102)) % 0.44/0.68 (step @p104 :rule instantiate :premises (@p103) :args (@t118)) % 0.44/0.68 (step @p105 :rule instantiate :premises (@p22) :args (@t118)) % 0.44/0.68 (step @p106 :rule refl :args (@t120)) % 0.44/0.68 (step @p107 :rule refl :args (@t53)) % 0.44/0.68 (step @p108 :rule bool-double-not-elim :args (@t88)) % 0.44/0.68 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106) :args (@t122)) % 0.44/0.68 (step @p110 :rule aci_norm :args ((= (or @t121 (or @t53 @t120)) @t122))) % 0.44/0.68 (step @p111 :rule trans :premises (@p110 @p109)) % 0.44/0.68 (step @p112 :rule bool-and-de-morgan :args (@t51 @t119 true)) % 0.44/0.68 (step @p113 :rule refl :args (@t121)) % 0.44/0.68 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t121 (not (and @t51 @t119))))) % 0.44/0.68 (step @p115 :rule bool-and-de-morgan :args (@t89 @t51 (and @t119))) % 0.44/0.68 (step @p116 :rule trans :premises (@p115 @p114)) % 0.44/0.68 (step @p117 :rule trans :premises (@p116 @p111)) % 0.44/0.68 (step @p118 :rule cong :premises (@p117) :args (@t124)) % 0.44/0.68 (step @p119 :rule cong :premises (@p118) :args (@t125)) % 0.44/0.68 (step @p120 :rule exists-elim :args ((= (exists @t8 @t123) @t125))) % 0.44/0.68 (step @p121 :rule trans :premises (@p120 @p119)) % 0.44/0.68 (step @p122 :rule bool-impl-elim :args (@t21 @t38)) % 0.44/0.68 (step @p123 :rule cong :premises (@p122) :args (@t39)) % 0.44/0.68 (step @p124 :rule refl :args (@t51)) % 0.44/0.68 (step @p125 :rule refl :args (@t89)) % 0.44/0.68 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123) :args (@t90)) % 0.44/0.68 (step @p127 :rule cong :premises (@p126) :args (@t91)) % 0.44/0.68 (step @p128 :rule trans :premises (@p127 @p121)) % 0.44/0.68 (step @p129 :rule bool-impl-elim :args (@t88 @t14)) % 0.44/0.68 (step @p130 :rule cong :premises (@p129) :args (@t92)) % 0.44/0.68 (step @p131 :rule refl :args (@t93)) % 0.44/0.68 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t94)) % 0.44/0.68 (step @p133 :rule cong :premises (@p132 @p128) :args (@t95)) % 0.44/0.68 (step @p134 :rule cong :premises (@p133) :args (@t96)) % 0.44/0.68 (step @p135 :rule eq_resolve :premises (@p41 @p134)) % 0.44/0.68 (step @p136 :rule not_implies_elim1 :premises (@p135)) % 0.44/0.68 (step @p137 :rule and_elim :premises (@p136) :args (0)) % 0.44/0.68 (step @p138 :rule cnf_or_pos :args (@t129)) % 0.44/0.68 (step @p139 :rule reordering :premises (@p138) :args ((or @t128 @t127 (not @t129)))) % 0.44/0.68 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p105) :args (@t127 @t130 (@list @t93 @t129))) % 0.44/0.68 (step @p141 :rule cnf_or_pos :args (@t133)) % 0.44/0.68 (step @p142 :rule reordering :premises (@p141) :args ((or @t126 @t132 (not @t133)))) % 0.44/0.68 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p104) :args 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:args (@t79)) % 0.44/0.68 (step @p385 :rule refl :args (@t80)) % 0.44/0.68 (step @p386 :rule refl :args (@t22)) % 0.44/0.68 (step @p387 :rule nary_cong :premises (@p386 @p385 @p384) :args (@t81)) % 0.44/0.68 (step @p388 :rule cong :premises (@p387) :args (@t82)) % 0.44/0.68 (step @p389 :rule trans :premises (@p388 @p382)) % 0.44/0.68 (step @p390 :rule cong :premises (@p262) :args (@t83)) % 0.44/0.68 (step @p391 :rule refl :args (@t52)) % 0.44/0.68 (step @p392 :rule nary_cong :premises (@p391 @p390) :args (@t84)) % 0.44/0.68 (step @p393 :rule cong :premises (@p392 @p389) :args (@t85)) % 0.44/0.68 (step @p394 :rule cong :premises (@p393) :args (@t86)) % 0.44/0.68 (step @p395 :rule trans :premises (@p394 @p367)) % 0.44/0.68 (step @p396 :rule eq_resolve :premises (@p38 @p395)) % 0.44/0.68 (step @p397 :rule instantiate :premises (@p396) :args ((@list tptp.n0 @t243))) % 0.44/0.68 (step @p398 :rule cnf_or_pos :args (@t320)) % 0.44/0.68 (step @p399 :rule reordering :premises (@p398) :args ((or @t128 @t319 @t286 @t292 (not @t320)))) % 0.44/0.68 (step @p400 :rule chain_m_resolution :premises (@p399 @p397 @p343 @p137 @p336 @p335) :args (@t293 (@list false false false true true) (@list @t320 @t301 @t93 @t292 @t286))) % 0.44/0.68 (step @p401 :rule refl :args (@t321)) % 0.44/0.68 (step @p402 :rule bool-double-not-elim :args (@t242)) % 0.44/0.68 (step @p403 :rule nary_cong :premises (@p402 @p401) :args ((or (not @t322) @t321))) % 0.44/0.68 (assume-push @p417 @t322) % 0.44/0.68 (step @p405 :rule skolemize :premises (@p417)) % 0.44/0.68 (step-pop @p418 :rule scope :premises (@p405)) % 0.44/0.68 (step @p406 :rule process_scope :premises (@p418) :args (@t321)) % 0.44/0.68 (step @p408 :rule implies_elim :premises (@p406)) % 0.44/0.68 (step @p409 :rule eq_resolve :premises (@p408 @p403)) % 0.44/0.68 (step @p410 :rule chain_m_resolution :premises (@p409 @p400) :args (@t242 @t141 (@list @t293))) % 0.44/0.68 (step @p411 :rule cnf_or_pos :args (@t324)) % 0.44/0.68 (step @p412 :rule reordering :premises (@p411) :args ((or @t322 @t290 @t323 @t283 @t249 (not @t324)))) % 0.44/0.68 (step @p413 :rule chain_m_resolution :premises (@p412 @p410 @p334 @p331 @p270 @p267) :args (@t323 (@list false true true true false) (@list @t242 @t290 @t283 @t249 @t324))) % 0.44/0.68 (step @p414 :rule cnf_and_pos :args (@t323 0)) % 0.44/0.68 (step @p415 :rule reordering :premises (@p414) :args ((or @t150 (not @t323)))) % 0.44/0.68 (step @p416 false :rule chain_m_resolution :premises (@p415 @p413 @p160) :args (false (@list false true) (@list @t323 @t150))) % 0.44/0.68 ) % 0.44/0.68 % SZS output end Proof % 0.44/0.68 % cvc5 exiting %------------------------------------------------------------------------------