%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MED010+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 : n024.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 1.16s 1.50s % Output : Proof 1.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : MED010+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 04:40:45 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.16/1.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.16/1.50 % SZS status Theorem % 1.16/1.50 % SZS output start Proof % 1.16/1.50 ( % 1.16/1.50 (declare-sort $$unsorted 0) % 1.16/1.50 (declare-const tptp.s0 (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.s1 (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.s3 (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.qillt27 (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.drugbg (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.n0 $$unsorted) % 1.16/1.50 (declare-const tptp.bcapacityex (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.s2 (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.releaselg (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.bcapacityne (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.qilt27 (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.conditionnormo (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.bcapacitysn (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.drugsu (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.conditionhypo (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.conditionhyper (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.uptakepg (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.uptakelg (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.drugi (-> $$unsorted Bool)) % 1.16/1.50 (declare-const tptp.bsecretioni (-> $$unsorted Bool)) % 1.16/1.50 (define @t1 () (@var "X" $$unsorted)) % 1.16/1.50 (define @t2 () (forall (@list @t1) (not (tptp.gt @t1 @t1)))) % 1.16/1.50 (define @t3 () (@var "Z" $$unsorted)) % 1.16/1.50 (define @t4 () (@var "Y" $$unsorted)) % 1.16/1.50 (define @t5 () (@var "X0" $$unsorted)) % 1.16/1.50 (define @t6 () (tptp.bcapacitysn @t5)) % 1.16/1.50 (define @t7 () (tptp.bcapacityex @t5)) % 1.16/1.50 (define @t8 () (tptp.bcapacityne @t5)) % 1.16/1.50 (define @t9 () (@list @t5)) % 1.16/1.50 (define @t10 () (not @t7)) % 1.16/1.50 (define @t11 () (not @t8)) % 1.16/1.50 (define @t12 () (not @t6)) % 1.16/1.50 (define @t13 () (tptp.conditionnormo @t5)) % 1.16/1.50 (define @t14 () (tptp.conditionhypo @t5)) % 1.16/1.50 (define @t15 () (tptp.conditionhyper @t5)) % 1.16/1.50 (define @t16 () (not @t14)) % 1.16/1.50 (define @t17 () (not @t15)) % 1.16/1.50 (define @t18 () (not @t13)) % 1.16/1.50 (define @t19 () (@var "X1" $$unsorted)) % 1.16/1.50 (define @t20 () (tptp.uptakepg @t19)) % 1.16/1.50 (define @t21 () (tptp.uptakelg @t19)) % 1.16/1.50 (define @t22 () (tptp.gt @t5 @t19)) % 1.16/1.50 (define @t23 () (not @t22)) % 1.16/1.50 (define @t24 () (@list @t19)) % 1.16/1.50 (define @t25 () (tptp.drugi @t19)) % 1.16/1.50 (define @t26 () (forall @t24 (=> @t23 @t25))) % 1.16/1.50 (define @t27 () (not (tptp.releaselg @t19))) % 1.16/1.50 (define @t28 () (@list @t5 @t19)) % 1.16/1.50 (define @t29 () (tptp.bsecretioni @t19)) % 1.16/1.50 (define @t30 () (forall @t24 (=> @t23 @t29))) % 1.16/1.50 (define @t31 () (and (forall @t24 (=> @t23 (tptp.drugsu @t19))) @t10)) % 1.16/1.50 (define @t32 () (forall @t24 (=> @t23 @t27))) % 1.16/1.50 (define @t33 () (forall @t24 (=> @t23 (tptp.drugbg @t19)))) % 1.16/1.50 (define @t34 () (tptp.conditionnormo @t19)) % 1.16/1.50 (define @t35 () (forall @t24 (=> @t23 @t34))) % 1.16/1.50 (define @t36 () (tptp.conditionhyper @t19)) % 1.16/1.50 (define @t37 () (forall @t24 (=> @t22 @t36))) % 1.16/1.50 (define @t38 () (tptp.qilt27 @t5)) % 1.16/1.50 (define @t39 () (and @t30 @t6 @t38 @t37)) % 1.16/1.50 (define @t40 () (not @t38)) % 1.16/1.50 (define @t41 () (and @t32 @t6 @t40 @t37)) % 1.16/1.50 (define @t42 () (forall @t24 (=> @t23 @t20))) % 1.16/1.50 (define @t43 () (or @t32 @t42)) % 1.16/1.50 (define @t44 () (and @t43 @t8 @t30 @t37)) % 1.16/1.50 (define @t45 () (forall @t24 (=> @t23 @t21))) % 1.16/1.50 (define @t46 () (and @t45 @t42 @t7 @t37)) % 1.16/1.50 (define @t47 () (tptp.s3 @t5)) % 1.16/1.50 (define @t48 () (tptp.s2 @t5)) % 1.16/1.50 (define @t49 () (tptp.s1 @t5)) % 1.16/1.50 (define @t50 () (tptp.s0 @t5)) % 1.16/1.50 (define @t51 () (not @t49)) % 1.16/1.50 (define @t52 () (not @t50)) % 1.16/1.50 (define @t53 () (not @t48)) % 1.16/1.50 (define @t54 () (not @t47)) % 1.16/1.50 (define @t55 () (or @t39 @t41 @t44 @t46)) % 1.16/1.50 (define @t56 () (=> @t35 @t55)) % 1.16/1.50 (define @t57 () (forall @t9 @t56)) % 1.16/1.50 (define @t58 () (tptp.drugsu @t5)) % 1.16/1.50 (define @t59 () (tptp.drugbg @t5)) % 1.16/1.50 (define @t60 () (and @t49 @t40)) % 1.16/1.50 (define @t61 () (tptp.drugi @t5)) % 1.16/1.50 (define @t62 () (forall @t9 (=> @t61 @t47))) % 1.16/1.50 (define @t63 () (or @t45 @t42)) % 1.16/1.50 (define @t64 () (=> @t63 @t26)) % 1.16/1.50 (define @t65 () (forall @t9 @t64)) % 1.16/1.50 (define @t66 () (@var "X2" $$unsorted)) % 1.16/1.50 (define @t67 () (tptp.conditionhyper @t66)) % 1.16/1.50 (define @t68 () (tptp.gt @t19 @t66)) % 1.16/1.50 (define @t69 () (@list @t66)) % 1.16/1.50 (define @t70 () (forall @t69 (=> @t68 @t67))) % 1.16/1.50 (define @t71 () (not @t35)) % 1.16/1.50 (define @t72 () (tptp.bcapacityex @t19)) % 1.16/1.50 (define @t73 () (tptp.s3 @t19)) % 1.16/1.50 (define @t74 () (and @t23 @t73 @t70 @t72)) % 1.16/1.50 (define @t75 () (exists @t24 @t74)) % 1.16/1.50 (define @t76 () (and @t48 @t71)) % 1.16/1.50 (define @t77 () (=> @t76 @t75)) % 1.16/1.50 (define @t78 () (forall @t9 @t77)) % 1.16/1.50 (define @t79 () (tptp.gt tptp.n0 @t5)) % 1.16/1.50 (define @t80 () (not @t79)) % 1.16/1.50 (define @t81 () (and @t80 @t47 @t37 @t7)) % 1.16/1.50 (define @t82 () (exists @t9 @t81)) % 1.16/1.50 (define @t83 () (tptp.bcapacityex tptp.n0)) % 1.16/1.50 (define @t84 () (forall @t9 (=> @t79 @t15))) % 1.16/1.50 (define @t85 () (tptp.s2 tptp.n0)) % 1.16/1.50 (define @t86 () (and @t85 @t84 @t83)) % 1.16/1.50 (define @t87 () (=> @t86 @t82)) % 1.16/1.50 (define @t88 () (not @t87)) % 1.16/1.50 (define @t89 () (@var "BOUND_VARIABLE_7925" $$unsorted)) % 1.16/1.50 (define @t90 () (tptp.drugi @t89)) % 1.16/1.50 (define @t91 () (tptp.gt @t5 @t89)) % 1.16/1.50 (define @t92 () (forall @t24 (or @t22 @t20))) % 1.16/1.50 (define @t93 () (forall @t24 (or @t22 @t21))) % 1.16/1.50 (define @t94 () (and (not @t93) (not @t92))) % 1.16/1.50 (define @t95 () (or @t91 @t90)) % 1.16/1.50 (define @t96 () (or @t94 @t95)) % 1.16/1.50 (define @t97 () (forall (@list @t5 @t89) @t96)) % 1.16/1.50 (define @t98 () (@list @t89)) % 1.16/1.50 (define @t99 () (forall @t98 @t96)) % 1.16/1.50 (define @t100 () (forall @t98 @t95)) % 1.16/1.50 (define @t101 () (@list @t19)) % 1.16/1.50 (define @t102 () (or @t94 @t100)) % 1.16/1.50 (define @t103 () (forall @t24 (or @t22 @t25))) % 1.16/1.50 (define @t104 () (or @t93 @t92)) % 1.16/1.50 (define @t105 () (not @t23)) % 1.16/1.50 (define @t106 () (@var "BOUND_VARIABLE_7875" $$unsorted)) % 1.16/1.50 (define @t107 () (or (not (tptp.gt @t5 @t106)) (tptp.conditionhyper @t106))) % 1.16/1.50 (define @t108 () (@var "BOUND_VARIABLE_7869" $$unsorted)) % 1.16/1.50 (define @t109 () (or (tptp.gt @t5 @t108) (tptp.uptakepg @t108))) % 1.16/1.50 (define @t110 () (@var "BOUND_VARIABLE_7864" $$unsorted)) % 1.16/1.50 (define @t111 () (or (tptp.gt @t5 @t110) (tptp.uptakelg @t110))) % 1.16/1.50 (define @t112 () (and @t111 @t109 @t7 @t107)) % 1.16/1.50 (define @t113 () (@var "BOUND_VARIABLE_7857" $$unsorted)) % 1.16/1.50 (define @t114 () (or (not (tptp.gt @t5 @t113)) (tptp.conditionhyper @t113))) % 1.16/1.50 (define @t115 () (@var "BOUND_VARIABLE_7852" $$unsorted)) % 1.16/1.50 (define @t116 () (or (tptp.gt @t5 @t115) (tptp.bsecretioni @t115))) % 1.16/1.50 (define @t117 () (@var "BOUND_VARIABLE_7846" $$unsorted)) % 1.16/1.50 (define @t118 () (tptp.uptakepg @t117)) % 1.16/1.50 (define @t119 () (tptp.gt @t5 @t117)) % 1.16/1.50 (define @t120 () (@var "BOUND_VARIABLE_7840" $$unsorted)) % 1.16/1.50 (define @t121 () (not (tptp.releaselg @t120))) % 1.16/1.50 (define @t122 () (tptp.gt @t5 @t120)) % 1.16/1.50 (define @t123 () (or @t119 @t118)) % 1.16/1.50 (define @t124 () (or @t122 @t121)) % 1.16/1.50 (define @t125 () (or @t124 @t123)) % 1.16/1.50 (define @t126 () (and @t125 @t8 @t116 @t114)) % 1.16/1.50 (define @t127 () (@var "BOUND_VARIABLE_7833" $$unsorted)) % 1.16/1.50 (define @t128 () (or (not (tptp.gt @t5 @t127)) (tptp.conditionhyper @t127))) % 1.16/1.50 (define @t129 () (@var "BOUND_VARIABLE_7827" $$unsorted)) % 1.16/1.50 (define @t130 () (or (tptp.gt @t5 @t129) (not (tptp.releaselg @t129)))) % 1.16/1.50 (define @t131 () (and @t130 @t6 @t40 @t128)) % 1.16/1.50 (define @t132 () (@var "BOUND_VARIABLE_7820" $$unsorted)) % 1.16/1.50 (define @t133 () (or (not (tptp.gt @t5 @t132)) (tptp.conditionhyper @t132))) % 1.16/1.50 (define @t134 () (@var "BOUND_VARIABLE_7815" $$unsorted)) % 1.16/1.50 (define @t135 () (or (tptp.gt @t5 @t134) (tptp.bsecretioni @t134))) % 1.16/1.50 (define @t136 () (and @t135 @t6 @t38 @t133)) % 1.16/1.50 (define @t137 () (forall @t24 (or @t22 @t34))) % 1.16/1.50 (define @t138 () (not @t137)) % 1.16/1.50 (define @t139 () (or @t138 @t136 @t131 @t126 @t112)) % 1.16/1.50 (define @t140 () (forall (@list @t5 @t134 @t132 @t129 @t127 @t120 @t117 @t115 @t113 @t110 @t108 @t106) @t139)) % 1.16/1.50 (define @t141 () (forall (@list @t134 @t132 @t129 @t127 @t120 @t117 @t115 @t113 @t110 @t108 @t106) @t139)) % 1.16/1.50 (define @t142 () (forall (@list @t106) @t107)) % 1.16/1.50 (define @t143 () (@list @t110 @t108 @t106)) % 1.16/1.50 (define @t144 () (forall @t143 @t107)) % 1.16/1.50 (define @t145 () (forall @t143 @t7)) % 1.16/1.50 (define @t146 () (forall (@list @t108) @t109)) % 1.16/1.50 (define @t147 () (forall @t143 @t109)) % 1.16/1.50 (define @t148 () (forall (@list @t110) @t111)) % 1.16/1.50 (define @t149 () (forall @t143 @t111)) % 1.16/1.50 (define @t150 () (and @t149 @t147 @t145 @t144)) % 1.16/1.50 (define @t151 () (forall @t143 @t112)) % 1.16/1.50 (define @t152 () (forall (@list @t113) @t114)) % 1.16/1.50 (define @t153 () (@list @t120 @t117 @t115 @t113)) % 1.16/1.50 (define @t154 () (forall @t153 @t114)) % 1.16/1.50 (define @t155 () (forall (@list @t115) @t116)) % 1.16/1.50 (define @t156 () (forall @t153 @t116)) % 1.16/1.50 (define @t157 () (forall @t153 @t8)) % 1.16/1.50 (define @t158 () (forall (@list @t117) @t123)) % 1.16/1.50 (define @t159 () (forall (@list @t120) @t124)) % 1.16/1.50 (define @t160 () (or @t159 @t158)) % 1.16/1.50 (define @t161 () (forall (@list @t120 @t117) @t125)) % 1.16/1.50 (define @t162 () (forall @t153 @t125)) % 1.16/1.50 (define @t163 () (and @t162 @t157 @t156 @t154)) % 1.16/1.50 (define @t164 () (forall @t153 @t126)) % 1.16/1.50 (define @t165 () (forall (@list @t127) @t128)) % 1.16/1.50 (define @t166 () (@list @t129 @t127)) % 1.16/1.50 (define @t167 () (forall @t166 @t128)) % 1.16/1.50 (define @t168 () (forall @t166 @t40)) % 1.16/1.50 (define @t169 () (forall @t166 @t6)) % 1.16/1.50 (define @t170 () (forall (@list @t129) @t130)) % 1.16/1.50 (define @t171 () (forall @t166 @t130)) % 1.16/1.50 (define @t172 () (and @t171 @t169 @t168 @t167)) % 1.16/1.50 (define @t173 () (forall @t166 @t131)) % 1.16/1.50 (define @t174 () (forall (@list @t132) @t133)) % 1.16/1.50 (define @t175 () (@list @t134 @t132)) % 1.16/1.50 (define @t176 () (forall @t175 @t133)) % 1.16/1.50 (define @t177 () (forall @t175 @t38)) % 1.16/1.50 (define @t178 () (forall @t175 @t6)) % 1.16/1.50 (define @t179 () (forall (@list @t134) @t135)) % 1.16/1.50 (define @t180 () (forall @t175 @t135)) % 1.16/1.50 (define @t181 () (and @t180 @t178 @t177 @t176)) % 1.16/1.50 (define @t182 () (forall @t175 @t136)) % 1.16/1.50 (define @t183 () (or @t138 @t182 @t173 @t164 @t151)) % 1.16/1.50 (define @t184 () (forall @t24 (or @t23 @t36))) % 1.16/1.50 (define @t185 () (and @t93 @t92 @t7 @t184)) % 1.16/1.50 (define @t186 () (forall @t24 (or @t22 @t29))) % 1.16/1.50 (define @t187 () (forall @t24 (or @t22 @t27))) % 1.16/1.50 (define @t188 () (and (or @t187 @t92) @t8 @t186 @t184)) % 1.16/1.50 (define @t189 () (and @t187 @t6 @t40 @t184)) % 1.16/1.50 (define @t190 () (and @t186 @t6 @t38 @t184)) % 1.16/1.50 (define @t191 () (or @t138 @t190 @t189 @t188 @t185)) % 1.16/1.50 (define @t192 () (or @t190 @t189 @t188 @t185)) % 1.16/1.50 (define @t193 () (tptp.gt tptp.n0 @t19)) % 1.16/1.50 (define @t194 () (forall @t24 (or @t193 @t21))) % 1.16/1.50 (define @t195 () (@quantifiers_skolemize @t194 0)) % 1.16/1.50 (define @t196 () (@list tptp.n0)) % 1.16/1.50 (define @t197 () (not @t184)) % 1.16/1.50 (define @t198 () (not @t80)) % 1.16/1.50 (define @t199 () (or @t198 @t54 @t197 @t10)) % 1.16/1.50 (define @t200 () (and @t80 @t47 @t184 @t7)) % 1.16/1.50 (define @t201 () (forall @t9 (not @t200))) % 1.16/1.50 (define @t202 () (not @t201)) % 1.16/1.50 (define @t203 () (not @t83)) % 1.16/1.50 (define @t204 () (tptp.bcapacityne tptp.n0)) % 1.16/1.50 (define @t205 () (not @t204)) % 1.16/1.50 (define @t206 () (or @t205 @t203)) % 1.16/1.50 (define @t207 () (@list false false)) % 1.16/1.50 (define @t208 () (tptp.gt tptp.n0 @t195)) % 1.16/1.50 (define @t209 () (or (not @t208) (tptp.conditionhyper @t195))) % 1.16/1.50 (define @t210 () (or @t208 (tptp.bsecretioni @t195))) % 1.16/1.50 (define @t211 () (tptp.uptakepg @t195)) % 1.16/1.50 (define @t212 () (not (tptp.releaselg @t195))) % 1.16/1.50 (define @t213 () (and (or @t208 @t212 @t208 @t211) @t204 @t210 @t209)) % 1.16/1.50 (define @t214 () (not @t213)) % 1.16/1.50 (define @t215 () (@list true)) % 1.16/1.50 (define @t216 () (tptp.bcapacitysn tptp.n0)) % 1.16/1.50 (define @t217 () (not @t216)) % 1.16/1.50 (define @t218 () (or @t203 @t217)) % 1.16/1.50 (define @t219 () (tptp.qilt27 tptp.n0)) % 1.16/1.50 (define @t220 () (and (or @t208 @t212) @t216 (not @t219) @t209)) % 1.16/1.50 (define @t221 () (not @t220)) % 1.16/1.50 (define @t222 () (@list @t216)) % 1.16/1.50 (define @t223 () (and @t210 @t216 @t219 @t209)) % 1.16/1.50 (define @t224 () (not @t223)) % 1.16/1.50 (define @t225 () (forall @t24 (or @t193 @t34))) % 1.16/1.50 (define @t226 () (@quantifiers_skolemize @t225 0)) % 1.16/1.50 (define @t227 () (tptp.conditionnormo @t226)) % 1.16/1.50 (define @t228 () (tptp.gt tptp.n0 @t226)) % 1.16/1.50 (define @t229 () (or @t228 @t227)) % 1.16/1.50 (define @t230 () (@var "BOUND_VARIABLE_9736" $$unsorted)) % 1.16/1.50 (define @t231 () (@var "BOUND_VARIABLE_9737" $$unsorted)) % 1.16/1.50 (define @t232 () (@list @t230 @t231)) % 1.16/1.50 (define @t233 () (forall @t9 (or @t79 @t54 @t197 @t10))) % 1.16/1.50 (define @t234 () (not @t72)) % 1.16/1.50 (define @t235 () (forall @t69 (or (not @t68) @t67))) % 1.16/1.50 (define @t236 () (not @t235)) % 1.16/1.50 (define @t237 () (not @t73)) % 1.16/1.50 (define @t238 () (forall @t24 (or @t193 @t237 @t236 @t234))) % 1.16/1.50 (define @t239 () (@list false)) % 1.16/1.50 (define @t240 () (@var "BOUND_VARIABLE_8047" $$unsorted)) % 1.16/1.50 (define @t241 () (tptp.conditionnormo @t240)) % 1.16/1.50 (define @t242 () (tptp.gt @t5 @t240)) % 1.16/1.50 (define @t243 () (not (forall @t24 (or @t22 @t237 @t236 @t234)))) % 1.16/1.50 (define @t244 () (or @t242 @t241)) % 1.16/1.50 (define @t245 () (or @t53 @t244 @t243)) % 1.16/1.50 (define @t246 () (forall (@list @t5 @t240) @t245)) % 1.16/1.50 (define @t247 () (@list @t240)) % 1.16/1.50 (define @t248 () (forall @t247 @t245)) % 1.16/1.50 (define @t249 () (forall @t247 @t244)) % 1.16/1.50 (define @t250 () (or @t53 @t249 @t243)) % 1.16/1.50 (define @t251 () (or @t53 @t137 @t243)) % 1.16/1.50 (define @t252 () (and @t48 @t138)) % 1.16/1.50 (define @t253 () (or @t105 @t237 @t236 @t234)) % 1.16/1.50 (define @t254 () (and @t23 @t73 @t235 @t72)) % 1.16/1.50 (define @t255 () (forall @t24 (not @t254))) % 1.16/1.50 (define @t256 () (not @t255)) % 1.16/1.50 (define @t257 () (not @t238)) % 1.16/1.50 (define @t258 () (not @t85)) % 1.16/1.50 (define @t259 () (or @t258 @t257 @t228 @t227)) % 1.16/1.50 (define @t260 () (not @t229)) % 1.16/1.50 (define @t261 () (not @t225)) % 1.16/1.50 (define @t262 () (or @t208 (tptp.uptakelg @t195))) % 1.16/1.50 (define @t263 () (and @t262 (or @t208 @t211) @t83 @t209)) % 1.16/1.50 (define @t264 () (or @t261 @t223 @t220 @t213 @t263)) % 1.16/1.50 (define @t265 () (not @t262)) % 1.16/1.50 (define @t266 () (not @t194)) % 1.16/1.50 (define @t267 () (and @t266 (not (forall @t24 (or @t193 @t20))))) % 1.16/1.50 (define @t268 () (not @t267)) % 1.16/1.50 (define @t269 () (tptp.s3 tptp.n0)) % 1.16/1.50 (define @t270 () (not @t269)) % 1.16/1.50 (define @t271 () (or @t258 @t270)) % 1.16/1.50 (define @t272 () (tptp.drugi tptp.n0)) % 1.16/1.50 (define @t273 () (not @t272)) % 1.16/1.50 (define @t274 () (or @t273 @t269)) % 1.16/1.50 (define @t275 () (tptp.gt tptp.n0 tptp.n0)) % 1.16/1.50 (define @t276 () (or @t267 @t275 @t272)) % 1.16/1.50 (assume @p1 @t2) % 1.16/1.50 (assume @p2 (forall (@list @t1 @t4 @t3) (=> (and (tptp.gt @t1 @t4) (tptp.gt @t4 @t3)) (tptp.gt @t1 @t3)))) % 1.16/1.50 (assume @p3 (forall @t9 (or @t8 @t7 @t6))) % 1.16/1.50 (assume @p4 (forall @t9 (or @t11 @t10))) % 1.16/1.50 (assume @p5 (forall @t9 (or @t11 @t12))) % 1.16/1.50 (assume @p6 (forall @t9 (or @t10 @t12))) % 1.16/1.50 (assume @p7 (forall @t9 (or @t15 @t14 @t13))) % 1.16/1.50 (assume @p8 (forall @t9 (or @t17 @t16))) % 1.16/1.50 (assume @p9 (forall @t9 (or @t17 @t18))) % 1.16/1.50 (assume @p10 (forall @t9 (or @t16 @t18))) % 1.16/1.50 (assume @p11 (forall @t9 (=> @t26 (forall @t24 (=> @t23 (and @t21 @t20)))))) % 1.16/1.50 (assume @p12 (forall @t28 (=> @t23 (=> @t21 @t27)))) % 1.16/1.50 (assume @p13 (forall @t9 (=> @t31 @t30))) % 1.16/1.50 (assume @p14 (forall @t9 (=> @t33 @t32))) % 1.16/1.50 (assume @p15 (forall @t9 (=> @t39 @t35))) % 1.16/1.50 (assume @p16 (forall @t9 (=> @t41 @t35))) % 1.16/1.50 (assume @p17 (forall @t9 (=> @t44 @t35))) % 1.16/1.50 (assume @p18 (forall @t9 (=> @t46 (forall @t24 (=> @t23 (or @t34 (tptp.conditionhypo @t19))))))) % 1.16/1.50 (assume @p19 (forall @t9 (or @t50 @t49 @t48 @t47))) % 1.16/1.50 (assume @p20 (forall @t9 (or @t52 @t51))) % 1.16/1.50 (assume @p21 (forall @t9 (or @t52 @t53))) % 1.16/1.50 (assume @p22 (forall @t9 (or @t52 @t54))) % 1.16/1.50 (assume @p23 (forall @t9 (or @t51 @t53))) % 1.16/1.50 (assume @p24 (forall @t9 (or @t51 @t54))) % 1.16/1.50 (assume @p25 (forall @t9 (or @t53 @t54))) % 1.16/1.50 (assume @p26 @t57) % 1.16/1.50 (assume @p27 (forall @t9 (=> (and @t49 @t38) @t58))) % 1.16/1.50 (assume @p28 (forall @t9 (=> @t60 @t59))) % 1.16/1.50 (assume @p29 (forall @t9 (=> @t48 (and @t59 @t58)))) % 1.16/1.50 (assume @p30 (forall @t9 (=> @t47 (or (and @t61 (or @t58 @t59)) @t61)))) % 1.16/1.50 (assume @p31 (forall @t9 (=> @t59 (or @t60 @t48 @t47)))) % 1.16/1.50 (assume @p32 (forall @t9 (=> @t58 (or (and @t49 (tptp.qillt27 @t5)) @t48 @t47)))) % 1.16/1.50 (assume @p33 @t62) % 1.16/1.50 (assume @p34 @t65) % 1.16/1.50 (assume @p35 (forall @t28 (=> @t23 (=> @t27 @t21)))) % 1.16/1.50 (assume @p36 (forall @t9 (=> @t30 @t31))) % 1.16/1.50 (assume @p37 (forall @t9 (=> @t32 @t33))) % 1.16/1.50 (assume @p38 (forall @t9 (=> (and @t50 @t71) (exists @t24 (and @t23 (tptp.s1 @t19) @t70))))) % 1.16/1.50 (assume @p39 (forall @t9 (=> (and @t49 @t71) (exists @t24 (and @t23 (tptp.s2 @t19) @t70 (or (tptp.bcapacityne @t19) @t72)))))) % 1.16/1.50 (assume @p40 @t78) % 1.16/1.50 (assume @p41 @t88) % 1.16/1.50 (assume @p42 true) % 1.16/1.50 (step @p43 :rule aci_norm :args ((= @t96 (or @t94 @t91 @t90)))) % 1.16/1.50 (step @p44 :rule cong :premises (@p43) :args (@t97)) % 1.16/1.50 (step @p45 :rule quant-merge-prenex :args ((= (forall @t9 @t99) @t97))) % 1.16/1.50 (step @p46 :rule alpha_equiv :args (@t100 (@list @t89) @t101)) % 1.16/1.50 (step @p47 :rule refl :args (@t94)) % 1.16/1.50 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t102)) % 1.16/1.50 (step @p49 :rule quant-miniscope-or :args ((= @t99 @t102))) % 1.16/1.50 (step @p50 :rule trans :premises (@p49 @p48)) % 1.16/1.50 (step @p51 :rule symm :premises (@p50)) % 1.16/1.50 (step @p52 :rule cong :premises (@p51) :args ((forall @t9 (or @t94 @t103)))) % 1.16/1.50 (step @p53 :rule trans :premises (@p52 @p45)) % 1.16/1.50 (step @p54 :rule trans :premises (@p53 @p44)) % 1.16/1.50 (step @p55 :rule refl :args (@t103)) % 1.16/1.50 (step @p56 :rule bool-or-de-morgan :args (@t93 @t92 false)) % 1.16/1.50 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t104) @t103))) % 1.16/1.50 (step @p58 :rule bool-impl-elim :args (@t104 @t103)) % 1.16/1.50 (step @p59 :rule trans :premises (@p58 @p57)) % 1.16/1.50 (step @p60 :rule cong :premises (@p59) :args ((forall @t9 (=> @t104 @t103)))) % 1.16/1.50 (step @p61 :rule trans :premises (@p60 @p54)) % 1.16/1.50 (step @p62 :rule refl :args (@t25)) % 1.16/1.50 (step @p63 :rule bool-double-not-elim :args (@t22)) % 1.16/1.50 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t105 @t25))) % 1.16/1.50 (step @p65 :rule bool-impl-elim :args (@t23 @t25)) % 1.16/1.50 (step @p66 :rule trans :premises (@p65 @p64)) % 1.16/1.50 (step @p67 :rule cong :premises (@p66) :args (@t26)) % 1.16/1.50 (step @p68 :rule refl :args (@t20)) % 1.16/1.50 (step @p69 :rule nary_cong :premises (@p63 @p68) :args ((or @t105 @t20))) % 1.16/1.50 (step @p70 :rule bool-impl-elim :args (@t23 @t20)) % 1.16/1.50 (step @p71 :rule trans :premises (@p70 @p69)) % 1.16/1.50 (step @p72 :rule cong :premises (@p71) :args (@t42)) % 1.16/1.50 (step @p73 :rule refl :args (@t21)) % 1.16/1.50 (step @p74 :rule nary_cong :premises (@p63 @p73) :args ((or @t105 @t21))) % 1.16/1.50 (step @p75 :rule bool-impl-elim :args (@t23 @t21)) % 1.16/1.50 (step @p76 :rule trans :premises (@p75 @p74)) % 1.16/1.50 (step @p77 :rule cong :premises (@p76) :args (@t45)) % 1.16/1.50 (step @p78 :rule nary_cong :premises (@p77 @p72) :args (@t63)) % 1.16/1.50 (step @p79 :rule cong :premises (@p78 @p67) :args (@t64)) % 1.16/1.50 (step @p80 :rule cong :premises (@p79) :args (@t65)) % 1.16/1.50 (step @p81 :rule trans :premises (@p80 @p61)) % 1.16/1.50 (step @p82 :rule eq_resolve :premises (@p34 @p81)) % 1.16/1.50 (step @p83 :rule instantiate :premises (@p82) :args ((@list tptp.n0 tptp.n0))) % 1.16/1.50 (step @p84 :rule refl :args (@t112)) % 1.16/1.50 (step @p85 :rule refl :args (@t114)) % 1.16/1.50 (step @p86 :rule refl :args (@t116)) % 1.16/1.50 (step @p87 :rule refl :args (@t8)) % 1.16/1.50 (step @p88 :rule aci_norm :args ((= @t125 (or @t122 @t121 @t119 @t118)))) % 1.16/1.50 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86 @p85) :args (@t126)) % 1.16/1.50 (step @p90 :rule refl :args (@t131)) % 1.16/1.50 (step @p91 :rule refl :args (@t136)) % 1.16/1.50 (step @p92 :rule refl :args (@t138)) % 1.16/1.50 (step @p93 :rule nary_cong :premises (@p92 @p91 @p90 @p89 @p84) :args (@t139)) % 1.16/1.50 (step @p94 :rule cong :premises (@p93) :args (@t140)) % 1.16/1.50 (step @p95 :rule quant-merge-prenex :args ((= (forall @t9 @t141) @t140))) % 1.16/1.50 (step @p96 :rule alpha_equiv :args (@t142 (@list @t106) @t101)) % 1.16/1.50 (step @p97 :rule quant-unused-vars :args ((= @t144 @t142))) % 1.16/1.50 (step @p98 :rule trans :premises (@p97 @p96)) % 1.16/1.50 (step @p99 :rule quant-unused-vars :args ((= @t145 @t7))) % 1.16/1.50 (step @p100 :rule alpha_equiv :args (@t146 (@list @t108) @t101)) % 1.16/1.50 (step @p101 :rule quant-unused-vars :args ((= @t147 @t146))) % 1.16/1.50 (step @p102 :rule trans :premises (@p101 @p100)) % 1.16/1.50 (step @p103 :rule alpha_equiv :args (@t148 (@list @t110) @t101)) % 1.16/1.50 (step @p104 :rule quant-unused-vars :args ((= @t149 @t148))) % 1.16/1.50 (step @p105 :rule trans :premises (@p104 @p103)) % 1.16/1.50 (step @p106 :rule nary_cong :premises (@p105 @p102 @p99 @p98) :args (@t150)) % 1.16/1.50 (step @p107 :rule quant-miniscope-and :args ((= @t151 @t150))) % 1.16/1.50 (step @p108 :rule trans :premises (@p107 @p106)) % 1.16/1.50 (step @p109 :rule alpha_equiv :args (@t152 (@list @t113) @t101)) % 1.16/1.50 (step @p110 :rule quant-unused-vars :args ((= @t154 @t152))) % 1.16/1.50 (step @p111 :rule trans :premises (@p110 @p109)) % 1.16/1.50 (step @p112 :rule alpha_equiv :args (@t155 (@list @t115) @t101)) % 1.16/1.50 (step @p113 :rule quant-unused-vars :args ((= @t156 @t155))) % 1.16/1.50 (step @p114 :rule trans :premises (@p113 @p112)) % 1.16/1.50 (step @p115 :rule quant-unused-vars :args ((= @t157 @t8))) % 1.16/1.50 (step @p116 :rule alpha_equiv :args (@t158 (@list @t117) @t101)) % 1.16/1.50 (step @p117 :rule alpha_equiv :args (@t159 (@list @t120) @t101)) % 1.16/1.50 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t160)) % 1.16/1.50 (step @p119 :rule quant-miniscope-or :args ((= @t161 @t160))) % 1.16/1.50 (step @p120 :rule quant-unused-vars :args ((= @t162 @t161))) % 1.16/1.50 (step @p121 :rule trans :premises (@p120 @p119)) % 1.16/1.50 (step @p122 :rule trans :premises (@p121 @p118)) % 1.16/1.50 (step @p123 :rule nary_cong :premises (@p122 @p115 @p114 @p111) :args (@t163)) % 1.16/1.50 (step @p124 :rule quant-miniscope-and :args ((= @t164 @t163))) % 1.16/1.50 (step @p125 :rule trans :premises (@p124 @p123)) % 1.16/1.50 (step @p126 :rule alpha_equiv :args (@t165 (@list @t127) @t101)) % 1.16/1.50 (step @p127 :rule quant-unused-vars :args ((= @t167 @t165))) % 1.16/1.50 (step @p128 :rule trans :premises (@p127 @p126)) % 1.16/1.50 (step @p129 :rule quant-unused-vars :args ((= @t168 @t40))) % 1.16/1.50 (step @p130 :rule quant-unused-vars :args ((= @t169 @t6))) % 1.16/1.50 (step @p131 :rule alpha_equiv :args (@t170 (@list @t129) @t101)) % 1.16/1.50 (step @p132 :rule quant-unused-vars :args ((= @t171 @t170))) % 1.16/1.50 (step @p133 :rule trans :premises (@p132 @p131)) % 1.16/1.50 (step @p134 :rule nary_cong :premises (@p133 @p130 @p129 @p128) :args (@t172)) % 1.16/1.50 (step @p135 :rule quant-miniscope-and :args ((= @t173 @t172))) % 1.16/1.50 (step @p136 :rule trans :premises (@p135 @p134)) % 1.16/1.50 (step @p137 :rule alpha_equiv :args (@t174 (@list @t132) @t101)) % 1.16/1.50 (step @p138 :rule quant-unused-vars :args ((= @t176 @t174))) % 1.16/1.50 (step @p139 :rule trans :premises (@p138 @p137)) % 1.16/1.50 (step @p140 :rule quant-unused-vars :args ((= @t177 @t38))) % 1.16/1.50 (step @p141 :rule quant-unused-vars :args ((= @t178 @t6))) % 1.16/1.50 (step @p142 :rule alpha_equiv :args (@t179 (@list @t134) @t101)) % 1.16/1.50 (step @p143 :rule quant-unused-vars :args ((= @t180 @t179))) % 1.16/1.50 (step @p144 :rule trans :premises (@p143 @p142)) % 1.16/1.50 (step @p145 :rule nary_cong :premises (@p144 @p141 @p140 @p139) :args (@t181)) % 1.16/1.50 (step @p146 :rule quant-miniscope-and :args ((= @t182 @t181))) % 1.16/1.50 (step @p147 :rule trans :premises (@p146 @p145)) % 1.16/1.50 (step @p148 :rule refl :args (@t138)) % 1.16/1.50 (step @p149 :rule nary_cong :premises (@p148 @p147 @p136 @p125 @p108) :args (@t183)) % 1.16/1.50 (step @p150 :rule quant-miniscope-or :args ((= @t141 @t183))) % 1.16/1.50 (step @p151 :rule trans :premises (@p150 @p149)) % 1.16/1.50 (step @p152 :rule symm :premises (@p151)) % 1.16/1.50 (step @p153 :rule cong :premises (@p152) :args ((forall @t9 @t191))) % 1.16/1.50 (step @p154 :rule trans :premises (@p153 @p95)) % 1.16/1.50 (step @p155 :rule trans :premises (@p154 @p94)) % 1.16/1.50 (step @p156 :rule aci_norm :args ((= (or @t138 @t192) @t191))) % 1.16/1.50 (step @p157 :rule bool-impl-elim :args (@t137 @t192)) % 1.16/1.50 (step @p158 :rule trans :premises (@p157 @p156)) % 1.16/1.50 (step @p159 :rule cong :premises (@p158) :args ((forall @t9 (=> @t137 @t192)))) % 1.16/1.50 (step @p160 :rule trans :premises (@p159 @p155)) % 1.16/1.50 (step @p161 :rule bool-impl-elim :args (@t22 @t36)) % 1.16/1.50 (step @p162 :rule cong :premises (@p161) :args (@t37)) % 1.16/1.50 (step @p163 :rule refl :args (@t7)) % 1.16/1.50 (step @p164 :rule nary_cong :premises (@p77 @p72 @p163 @p162) :args (@t46)) % 1.16/1.50 (step @p165 :rule refl :args (@t29)) % 1.16/1.50 (step @p166 :rule nary_cong :premises (@p63 @p165) :args ((or @t105 @t29))) % 1.16/1.50 (step @p167 :rule bool-impl-elim :args (@t23 @t29)) % 1.16/1.50 (step @p168 :rule trans :premises (@p167 @p166)) % 1.16/1.50 (step @p169 :rule cong :premises (@p168) :args (@t30)) % 1.16/1.50 (step @p170 :rule refl :args (@t27)) % 1.16/1.50 (step @p171 :rule nary_cong :premises (@p63 @p170) :args ((or @t105 @t27))) % 1.16/1.50 (step @p172 :rule bool-impl-elim :args (@t23 @t27)) % 1.16/1.50 (step @p173 :rule trans :premises (@p172 @p171)) % 1.16/1.50 (step @p174 :rule cong :premises (@p173) :args (@t32)) % 1.16/1.50 (step @p175 :rule nary_cong :premises (@p174 @p72) :args (@t43)) % 1.16/1.50 (step @p176 :rule nary_cong :premises (@p175 @p87 @p169 @p162) :args (@t44)) % 1.16/1.50 (step @p177 :rule refl :args (@t40)) % 1.16/1.50 (step @p178 :rule refl :args (@t6)) % 1.16/1.50 (step @p179 :rule nary_cong :premises (@p174 @p178 @p177 @p162) :args (@t41)) % 1.16/1.50 (step @p180 :rule refl :args (@t38)) % 1.16/1.50 (step @p181 :rule nary_cong :premises (@p169 @p178 @p180 @p162) :args (@t39)) % 1.16/1.50 (step @p182 :rule nary_cong :premises (@p181 @p179 @p176 @p164) :args (@t55)) % 1.16/1.50 (step @p183 :rule refl :args (@t34)) % 1.16/1.50 (step @p184 :rule nary_cong :premises (@p63 @p183) :args ((or @t105 @t34))) % 1.16/1.50 (step @p185 :rule bool-impl-elim :args (@t23 @t34)) % 1.16/1.50 (step @p186 :rule trans :premises (@p185 @p184)) % 1.16/1.50 (step @p187 :rule cong :premises (@p186) :args (@t35)) % 1.16/1.50 (step @p188 :rule cong :premises (@p187 @p182) :args (@t56)) % 1.16/1.50 (step @p189 :rule cong :premises (@p188) :args (@t57)) % 1.16/1.50 (step @p190 :rule trans :premises (@p189 @p160)) % 1.16/1.50 (step @p191 :rule eq_resolve :premises (@p26 @p190)) % 1.16/1.50 (step @p192 :rule instantiate :premises (@p191) :args ((@list tptp.n0 @t195 @t195 @t195 @t195 @t195 @t195 @t195 @t195 @t195 @t195 @t195))) % 1.16/1.50 (step @p193 :rule instantiate :premises (@p4) :args (@t196)) % 1.16/1.50 (step @p194 :rule refl :args (@t10)) % 1.16/1.50 (step @p195 :rule refl :args (@t197)) % 1.16/1.50 (step @p196 :rule refl :args (@t54)) % 1.16/1.50 (step @p197 :rule bool-double-not-elim :args (@t79)) % 1.16/1.50 (step @p198 :rule nary_cong :premises (@p197 @p196 @p195 @p194) :args (@t199)) % 1.16/1.50 (step @p199 :rule aci_norm :args ((= (or @t198 (or @t54 (or @t197 @t10))) @t199))) % 1.16/1.50 (step @p200 :rule trans :premises (@p199 @p198)) % 1.16/1.50 (step @p201 :rule bool-and-de-morgan :args (@t184 @t7 true)) % 1.16/1.50 (step @p202 :rule nary_cong :premises (@p196 @p201) :args ((or @t54 (not (and @t184 @t7))))) % 1.16/1.50 (step @p203 :rule bool-and-de-morgan :args (@t47 @t184 (and @t7))) % 1.16/1.50 (step @p204 :rule trans :premises (@p203 @p202)) % 1.16/1.50 (step @p205 :rule refl :args (@t198)) % 1.16/1.50 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or @t198 (not (and @t47 @t184 @t7))))) % 1.16/1.50 (step @p207 :rule bool-and-de-morgan :args (@t80 @t47 (and @t184 @t7))) % 1.16/1.50 (step @p208 :rule trans :premises (@p207 @p206)) % 1.16/1.50 (step @p209 :rule trans :premises (@p208 @p200)) % 1.16/1.50 (step @p210 :rule cong :premises (@p209) :args (@t201)) % 1.16/1.50 (step @p211 :rule cong :premises (@p210) :args (@t202)) % 1.16/1.50 (step @p212 :rule exists-elim :args ((= (exists @t9 @t200) @t202))) % 1.16/1.50 (step @p213 :rule trans :premises (@p212 @p211)) % 1.16/1.50 (step @p214 :rule refl :args (@t47)) % 1.16/1.50 (step @p215 :rule refl :args (@t80)) % 1.16/1.50 (step @p216 :rule nary_cong :premises (@p215 @p214 @p162 @p163) :args (@t81)) % 1.16/1.50 (step @p217 :rule cong :premises (@p216) :args (@t82)) % 1.16/1.50 (step @p218 :rule trans :premises (@p217 @p213)) % 1.16/1.50 (step @p219 :rule refl :args (@t83)) % 1.16/1.50 (step @p220 :rule bool-impl-elim :args (@t79 @t15)) % 1.16/1.50 (step @p221 :rule cong :premises (@p220) :args (@t84)) % 1.16/1.50 (step @p222 :rule refl :args (@t85)) % 1.16/1.50 (step @p223 :rule nary_cong :premises (@p222 @p221 @p219) :args (@t86)) % 1.16/1.50 (step @p224 :rule cong :premises (@p223 @p218) :args (@t87)) % 1.16/1.50 (step @p225 :rule cong :premises (@p224) :args (@t88)) % 1.16/1.50 (step @p226 :rule eq_resolve :premises (@p41 @p225)) % 1.16/1.50 (step @p227 :rule not_implies_elim1 :premises (@p226)) % 1.16/1.50 (step @p228 :rule and_elim :premises (@p227) :args (2)) % 1.16/1.50 (step @p229 :rule cnf_or_pos :args (@t206)) % 1.16/1.50 (step @p230 :rule reordering :premises (@p229) :args ((or @t203 @t205 (not @t206)))) % 1.16/1.50 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p193) :args (@t205 @t207 (@list @t83 @t206))) % 1.16/1.50 (step @p232 :rule cnf_and_pos :args (@t213 1)) % 1.16/1.50 (step @p233 :rule reordering :premises (@p232) :args ((or @t204 @t214))) % 1.16/1.50 (step @p234 :rule chain_m_resolution :premises (@p233 @p231) :args (@t214 @t215 (@list @t204))) % 1.16/1.50 (step @p235 :rule instantiate :premises (@p6) :args (@t196)) % 1.16/1.50 (step @p236 :rule cnf_or_pos :args (@t218)) % 1.16/1.50 (step @p237 :rule reordering :premises (@p236) :args ((or @t203 @t217 (not @t218)))) % 1.16/1.50 (step @p238 :rule chain_m_resolution :premises (@p237 @p228 @p235) :args (@t217 @t207 (@list @t83 @t218))) % 1.16/1.50 (step @p239 :rule cnf_and_pos :args (@t220 1)) % 1.16/1.50 (step @p240 :rule reordering :premises (@p239) :args ((or @t216 @t221))) % 1.16/1.50 (step @p241 :rule chain_m_resolution :premises (@p240 @p238) :args (@t221 @t215 @t222)) % 1.16/1.50 (step @p242 :rule cnf_and_pos :args (@t223 1)) % 1.16/1.50 (step @p243 :rule reordering :premises (@p242) :args ((or @t216 @t224))) % 1.16/1.50 (step @p244 :rule chain_m_resolution :premises (@p243 @p238) :args (@t224 @t215 @t222)) % 1.16/1.50 (step @p245 :rule cnf_or_neg :args (@t229 0)) % 1.16/1.50 (step @p246 :rule cnf_or_neg :args (@t229 1)) % 1.16/1.50 (step @p247 :rule and_elim :premises (@p227) :args (0)) % 1.16/1.50 (step @p248 :rule not_implies_elim2 :premises (@p226)) % 1.16/1.50 (step @p249 :rule not_not_elim :premises (@p248)) % 1.16/1.50 (step @p250 :rule alpha_equiv :args ((forall (@list @t230) (or (tptp.gt tptp.n0 @t230) (not (tptp.s3 @t230)) (not (forall (@list @t231) (or (not (tptp.gt @t230 @t231)) (tptp.conditionhyper @t231)))) (not (tptp.bcapacityex @t230)))) @t232 (@list @t19 @t66))) % 1.16/1.50 (step @p251 :rule alpha_equiv :args (@t233 (@list @t5 @t19) @t232)) % 1.16/1.50 (step @p252 :rule trans :premises (@p251 @p250)) % 1.16/1.50 (step @p253 :rule equiv_elim1 :premises (@p252)) % 1.16/1.50 (step @p254 :rule chain_m_resolution :premises (@p253 @p249) :args (@t238 @t239 (@list @t233))) % 1.16/1.50 (step @p255 :rule aci_norm :args ((= @t245 (or @t53 @t243 @t242 @t241)))) % 1.16/1.50 (step @p256 :rule cong :premises (@p255) :args (@t246)) % 1.16/1.50 (step @p257 :rule quant-merge-prenex :args ((= (forall @t9 @t248) @t246))) % 1.16/1.50 (step @p258 :rule refl :args (@t243)) % 1.16/1.50 (step @p259 :rule alpha_equiv :args (@t249 (@list @t240) @t101)) % 1.16/1.50 (step @p260 :rule refl :args (@t53)) % 1.16/1.50 (step @p261 :rule nary_cong :premises (@p260 @p259 @p258) :args (@t250)) % 1.16/1.50 (step @p262 :rule quant-miniscope-or :args ((= @t248 @t250))) % 1.16/1.50 (step @p263 :rule trans :premises (@p262 @p261)) % 1.16/1.50 (step @p264 :rule symm :premises (@p263)) % 1.16/1.50 (step @p265 :rule cong :premises (@p264) :args ((forall @t9 @t251))) % 1.16/1.50 (step @p266 :rule trans :premises (@p265 @p257)) % 1.16/1.50 (step @p267 :rule trans :premises (@p266 @p256)) % 1.16/1.50 (step @p268 :rule aci_norm :args ((= (or (or @t53 @t137) @t243) @t251))) % 1.16/1.50 (step @p269 :rule bool-double-not-elim :args (@t137)) % 1.16/1.50 (step @p270 :rule nary_cong :premises (@p260 @p269) :args ((or @t53 (not @t138)))) % 1.16/1.50 (step @p271 :rule bool-and-de-morgan :args (@t48 @t138 true)) % 1.16/1.50 (step @p272 :rule trans :premises (@p271 @p270)) % 1.16/1.50 (step @p273 :rule nary_cong :premises (@p272 @p258) :args ((or (not @t252) @t243))) % 1.16/1.50 (step @p274 :rule trans :premises (@p273 @p268)) % 1.16/1.50 (step @p275 :rule bool-impl-elim :args (@t252 @t243)) % 1.16/1.50 (step @p276 :rule trans :premises (@p275 @p274)) % 1.16/1.50 (step @p277 :rule cong :premises (@p276) :args ((forall @t9 (=> @t252 @t243)))) % 1.16/1.50 (step @p278 :rule trans :premises (@p277 @p267)) % 1.16/1.50 (step @p279 :rule refl :args (@t234)) % 1.16/1.50 (step @p280 :rule refl :args (@t236)) % 1.16/1.50 (step @p281 :rule refl :args (@t237)) % 1.16/1.50 (step @p282 :rule nary_cong :premises (@p63 @p281 @p280 @p279) :args (@t253)) % 1.16/1.50 (step @p283 :rule aci_norm :args ((= (or @t105 (or @t237 (or @t236 @t234))) @t253))) % 1.16/1.50 (step @p284 :rule trans :premises (@p283 @p282)) % 1.16/1.50 (step @p285 :rule bool-and-de-morgan :args (@t235 @t72 true)) % 1.16/1.50 (step @p286 :rule nary_cong :premises (@p281 @p285) :args ((or @t237 (not (and @t235 @t72))))) % 1.16/1.50 (step @p287 :rule bool-and-de-morgan :args (@t73 @t235 (and @t72))) % 1.16/1.50 (step @p288 :rule trans :premises (@p287 @p286)) % 1.16/1.50 (step @p289 :rule refl :args (@t105)) % 1.16/1.50 (step @p290 :rule nary_cong :premises (@p289 @p288) :args ((or @t105 (not (and @t73 @t235 @t72))))) % 1.16/1.50 (step @p291 :rule bool-and-de-morgan :args (@t23 @t73 (and @t235 @t72))) % 1.16/1.50 (step @p292 :rule trans :premises (@p291 @p290)) % 1.16/1.50 (step @p293 :rule trans :premises (@p292 @p284)) % 1.16/1.50 (step @p294 :rule cong :premises (@p293) :args (@t255)) % 1.16/1.50 (step @p295 :rule cong :premises (@p294) :args (@t256)) % 1.16/1.50 (step @p296 :rule exists-elim :args ((= (exists @t24 @t254) @t256))) % 1.16/1.50 (step @p297 :rule trans :premises (@p296 @p295)) % 1.16/1.50 (step @p298 :rule refl :args (@t72)) % 1.16/1.50 (step @p299 :rule bool-impl-elim :args (@t68 @t67)) % 1.16/1.50 (step @p300 :rule cong :premises (@p299) :args (@t70)) % 1.16/1.50 (step @p301 :rule refl :args (@t73)) % 1.16/1.50 (step @p302 :rule refl :args (@t23)) % 1.16/1.50 (step @p303 :rule nary_cong :premises (@p302 @p301 @p300 @p298) :args (@t74)) % 1.16/1.50 (step @p304 :rule cong :premises (@p303) :args (@t75)) % 1.16/1.50 (step @p305 :rule trans :premises (@p304 @p297)) % 1.16/1.50 (step @p306 :rule cong :premises (@p187) :args (@t71)) % 1.16/1.50 (step @p307 :rule refl :args (@t48)) % 1.16/1.50 (step @p308 :rule nary_cong :premises (@p307 @p306) :args (@t76)) % 1.16/1.50 (step @p309 :rule cong :premises (@p308 @p305) :args (@t77)) % 1.16/1.50 (step @p310 :rule cong :premises (@p309) :args (@t78)) % 1.16/1.50 (step @p311 :rule trans :premises (@p310 @p278)) % 1.16/1.50 (step @p312 :rule eq_resolve :premises (@p40 @p311)) % 1.16/1.50 (step @p313 :rule instantiate :premises (@p312) :args ((@list tptp.n0 @t226))) % 1.16/1.50 (step @p314 :rule cnf_or_pos :args (@t259)) % 1.16/1.50 (step @p315 :rule reordering :premises (@p314) :args ((or @t258 @t257 @t228 @t227 (not @t259)))) % 1.16/1.50 (step @p316 :rule chain_m_resolution :premises (@p315 @p313 @p254 @p247 @p246 @p245) :args (@t229 (@list false false false true true) (@list @t259 @t238 @t85 @t227 @t228))) % 1.16/1.50 (step @p317 :rule refl :args (@t260)) % 1.16/1.50 (step @p318 :rule bool-double-not-elim :args (@t225)) % 1.16/1.50 (step @p319 :rule nary_cong :premises (@p318 @p317) :args ((or (not @t261) @t260))) % 1.16/1.50 (assume-push @p366 @t261) % 1.16/1.50 (step @p321 :rule skolemize :premises (@p366)) % 1.16/1.50 (step-pop @p367 :rule scope :premises (@p321)) % 1.16/1.50 (step @p322 :rule process_scope :premises (@p367) :args (@t260)) % 1.16/1.50 (step @p324 :rule implies_elim :premises (@p322)) % 1.16/1.50 (step @p325 :rule eq_resolve :premises (@p324 @p319)) % 1.16/1.50 (step @p326 :rule chain_m_resolution :premises (@p325 @p316) :args (@t225 @t239 (@list @t229))) % 1.16/1.50 (step @p327 :rule cnf_or_pos :args (@t264)) % 1.16/1.50 (step @p328 :rule reordering :premises (@p327) :args ((or @t261 @t223 @t220 @t213 @t263 (not @t264)))) % 1.16/1.50 (step @p329 :rule chain_m_resolution :premises (@p328 @p326 @p244 @p241 @p234 @p192) :args (@t263 (@list false true true true false) (@list @t225 @t223 @t220 @t213 @t264))) % 1.16/1.50 (step @p330 :rule cnf_and_pos :args (@t263 0)) % 1.16/1.50 (step @p331 :rule reordering :premises (@p330) :args ((or @t262 (not @t263)))) % 1.16/1.50 (step @p332 :rule chain_m_resolution :premises (@p331 @p329) :args (@t262 @t239 (@list @t263))) % 1.16/1.50 (step @p333 :rule refl :args (@t265)) % 1.16/1.50 (step @p334 :rule bool-double-not-elim :args (@t194)) % 1.16/1.50 (step @p335 :rule nary_cong :premises (@p334 @p333) :args ((or (not @t266) @t265))) % 1.16/1.50 (assume-push @p368 @t266) % 1.16/1.50 (step @p337 :rule skolemize :premises (@p368)) % 1.16/1.50 (step-pop @p369 :rule scope :premises (@p337)) % 1.16/1.50 (step @p338 :rule process_scope :premises (@p369) :args (@t265)) % 1.16/1.50 (step @p340 :rule implies_elim :premises (@p338)) % 1.16/1.50 (step @p341 :rule eq_resolve :premises (@p340 @p335)) % 1.16/1.50 (step @p342 :rule chain_m_resolution :premises (@p341 @p332) :args (@t194 @t239 (@list @t262))) % 1.16/1.50 (step @p343 :rule cnf_and_pos :args (@t267 0)) % 1.16/1.50 (step @p344 :rule reordering :premises (@p343) :args ((or @t266 @t268))) % 1.16/1.50 (step @p345 :rule chain_m_resolution :premises (@p344 @p342) :args (@t268 @t239 (@list @t194))) % 1.16/1.50 (step @p346 :rule bool-impl-elim :args (@t61 @t47)) % 1.16/1.50 (step @p347 :rule cong :premises (@p346) :args (@t62)) % 1.16/1.50 (step @p348 :rule eq_resolve :premises (@p33 @p347)) % 1.16/1.50 (step @p349 :rule instantiate :premises (@p348) :args (@t196)) % 1.16/1.50 (step @p350 :rule instantiate :premises (@p25) :args (@t196)) % 1.16/1.50 (step @p351 :rule cnf_or_pos :args (@t271)) % 1.16/1.50 (step @p352 :rule reordering :premises (@p351) :args ((or @t258 @t270 (not @t271)))) % 1.16/1.50 (step @p353 :rule chain_m_resolution :premises (@p352 @p247 @p350) :args (@t270 @t207 (@list @t85 @t271))) % 1.16/1.50 (step @p354 :rule cnf_or_pos :args (@t274)) % 1.16/1.50 (step @p355 :rule reordering :premises (@p354) :args ((or @t269 @t273 (not @t274)))) % 1.16/1.50 (step @p356 :rule chain_m_resolution :premises (@p355 @p353 @p349) :args (@t273 (@list true false) (@list @t269 @t274))) % 1.16/1.50 (step @p357 :rule cnf_or_pos :args (@t276)) % 1.16/1.50 (step @p358 :rule reordering :premises (@p357) :args ((or @t275 @t272 @t267 (not @t276)))) % 1.16/1.50 (step @p359 :rule chain_m_resolution :premises (@p358 @p356 @p345 @p83) :args (@t275 (@list true true false) (@list @t272 @t267 @t276))) % 1.16/1.50 (assume-push @p370 @t2) % 1.16/1.50 (step @p361 :rule instantiate :premises (@p1) :args (@t196)) % 1.16/1.50 (step-pop @p371 :rule scope :premises (@p361)) % 1.16/1.50 (step @p362 :rule process_scope :premises (@p371) :args ((not @t275))) % 1.16/1.50 (step @p364 :rule implies_elim :premises (@p362)) % 1.16/1.50 (step @p365 false :rule chain_m_resolution :premises (@p364 @p359 @p1) :args (false @t207 (@list @t275 @t2))) % 1.16/1.50 ) % 1.16/1.50 % SZS output end Proof % 1.16/1.50 % cvc5 exiting %------------------------------------------------------------------------------