0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n029.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.19/0.33 % CPULimit : 1920 0.19/0.33 % WCLimit : 240 0.19/0.33 % DateTime : Fri Sep 5 17:16:07 EDT 2025 0.19/0.33 % CPUTime : 0.19/0.49 %----Proving TF0_NAR, FOF, or CNF 0.44/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 12... 0.44/0.70 % SZS status Theorem 0.44/0.70 % SZS output start Proof 0.44/0.70 ( 0.44/0.70 (declare-type $$unsorted ()) 0.44/0.70 (declare-const tptp.s1 (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.qillt27 (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.s2 (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.s3 (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.drugbg (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.conditionhypo (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.bcapacityne (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) 0.44/0.70 (declare-const tptp.n0 $$unsorted) 0.44/0.70 (declare-const tptp.qilt27 (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.conditionhyper (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.s0 (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.drugsu (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.bcapacityex (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.uptakepg (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.uptakelg (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.bsecretioni (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.bcapacitysn (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.conditionnormo (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.releaselg (-> $$unsorted Bool)) 0.44/0.70 (declare-const tptp.drugi (-> $$unsorted Bool)) 0.44/0.70 (define @t1 () (@var "X1" $$unsorted)) 0.44/0.70 (define @t2 () (tptp.conditionnormo @t1)) 0.44/0.70 (define @t3 () (@var "X0" $$unsorted)) 0.44/0.70 (define @t4 () (tptp.gt @t3 @t1)) 0.44/0.70 (define @t5 () (not @t4)) 0.44/0.70 (define @t6 () (@list @t1)) 0.44/0.70 (define @t7 () (tptp.conditionhyper @t1)) 0.44/0.70 (define @t8 () (forall @t6 (=> @t4 @t7))) 0.44/0.70 (define @t9 () (tptp.bcapacityex @t3)) 0.44/0.70 (define @t10 () (tptp.uptakepg @t1)) 0.44/0.70 (define @t11 () (forall @t6 (=> @t5 @t10))) 0.44/0.70 (define @t12 () (tptp.uptakelg @t1)) 0.44/0.70 (define @t13 () (forall @t6 (=> @t5 @t12))) 0.44/0.70 (define @t14 () (@list @t3)) 0.44/0.70 (define @t15 () (tptp.conditionhyper @t3)) 0.44/0.70 (define @t16 () (not @t15)) 0.44/0.70 (define @t17 () (tptp.conditionhypo @t3)) 0.44/0.70 (define @t18 () (not @t17)) 0.44/0.70 (define @t19 () (tptp.conditionnormo @t3)) 0.44/0.70 (define @t20 () (not @t19)) 0.44/0.70 (define @t21 () (tptp.bcapacityne @t3)) 0.44/0.70 (define @t22 () (not @t21)) 0.44/0.70 (define @t23 () (not @t9)) 0.44/0.70 (define @t24 () (forall @t6 (=> @t5 @t2))) 0.44/0.70 (define @t25 () (tptp.bsecretioni @t1)) 0.44/0.70 (define @t26 () (forall @t6 (=> @t5 @t25))) 0.44/0.70 (define @t27 () (tptp.qilt27 @t3)) 0.44/0.70 (define @t28 () (tptp.bcapacitysn @t3)) 0.44/0.70 (define @t29 () (and @t28 @t8 @t27 @t26)) 0.44/0.70 (define @t30 () (not (tptp.releaselg @t1))) 0.44/0.70 (define @t31 () (@list @t3 @t1)) 0.44/0.70 (define @t32 () (@var "X" $$unsorted)) 0.44/0.70 (define @t33 () (tptp.drugi @t1)) 0.44/0.70 (define @t34 () (forall @t6 (=> @t5 @t33))) 0.44/0.70 (define @t35 () (not @t28)) 0.44/0.70 (define @t36 () (forall @t6 (=> @t5 (tptp.drugsu @t1)))) 0.44/0.70 (define @t37 () (forall @t6 (=> @t5 @t30))) 0.44/0.70 (define @t38 () (tptp.drugbg @t1)) 0.44/0.70 (define @t39 () (forall @t6 (=> @t5 @t38))) 0.44/0.70 (define @t40 () (@var "Z" $$unsorted)) 0.44/0.70 (define @t41 () (@var "Y" $$unsorted)) 0.44/0.70 (define @t42 () (not @t27)) 0.44/0.70 (define @t43 () (or @t37 @t11)) 0.44/0.70 (define @t44 () (tptp.s3 @t3)) 0.44/0.70 (define @t45 () (tptp.drugi @t3)) 0.44/0.70 (define @t46 () (forall @t14 (=> @t45 @t44))) 0.44/0.70 (define @t47 () (=> @t37 @t39)) 0.44/0.70 (define @t48 () (forall @t14 @t47)) 0.44/0.70 (define @t49 () (@var "X2" $$unsorted)) 0.44/0.70 (define @t50 () (tptp.conditionhyper @t49)) 0.44/0.70 (define @t51 () (tptp.gt @t1 @t49)) 0.44/0.70 (define @t52 () (@list @t49)) 0.44/0.70 (define @t53 () (forall @t52 (=> @t51 @t50))) 0.44/0.70 (define @t54 () (tptp.bcapacityex @t1)) 0.44/0.70 (define @t55 () (not @t24)) 0.44/0.70 (define @t56 () (tptp.s2 @t3)) 0.44/0.70 (define @t57 () (not @t44)) 0.44/0.70 (define @t58 () (not @t56)) 0.44/0.70 (define @t59 () (and @t28 @t8 @t42 @t37)) 0.44/0.70 (define @t60 () (and @t9 @t8 @t11 @t13)) 0.44/0.70 (define @t61 () (and @t43 @t8 @t26 @t21)) 0.44/0.70 (define @t62 () (or @t61 @t60 @t59 @t29)) 0.44/0.70 (define @t63 () (=> @t24 @t62)) 0.44/0.70 (define @t64 () (forall @t14 @t63)) 0.44/0.70 (define @t65 () (tptp.drugsu @t3)) 0.44/0.70 (define @t66 () (tptp.s1 @t3)) 0.44/0.70 (define @t67 () (not @t66)) 0.44/0.70 (define @t68 () (tptp.drugbg @t3)) 0.44/0.70 (define @t69 () (tptp.s0 @t3)) 0.44/0.70 (define @t70 () (or @t11 @t13)) 0.44/0.70 (define @t71 () (=> @t70 @t34)) 0.44/0.70 (define @t72 () (forall @t14 @t71)) 0.44/0.70 (define @t73 () (not @t69)) 0.44/0.70 (define @t74 () (tptp.s2 @t1)) 0.44/0.70 (define @t75 () (tptp.bcapacityne @t1)) 0.44/0.70 (define @t76 () (or @t75 @t54)) 0.44/0.70 (define @t77 () (and @t5 @t53 @t76 @t74)) 0.44/0.70 (define @t78 () (exists @t6 @t77)) 0.44/0.70 (define @t79 () (and @t66 @t55)) 0.44/0.70 (define @t80 () (=> @t79 @t78)) 0.44/0.70 (define @t81 () (forall @t14 @t80)) 0.44/0.70 (define @t82 () (and @t66 @t42)) 0.44/0.70 (define @t83 () (or @t82 @t56 @t44)) 0.44/0.70 (define @t84 () (forall @t14 (=> @t68 @t83))) 0.44/0.70 (define @t85 () (or @t21 @t9)) 0.44/0.70 (define @t86 () (tptp.gt tptp.n0 @t3)) 0.44/0.70 (define @t87 () (not @t86)) 0.44/0.70 (define @t88 () (and @t87 @t56 @t85 @t8)) 0.44/0.70 (define @t89 () (exists @t14 @t88)) 0.44/0.70 (define @t90 () (forall @t14 (=> @t86 @t15))) 0.44/0.70 (define @t91 () (tptp.qilt27 tptp.n0)) 0.44/0.70 (define @t92 () (tptp.bcapacitysn tptp.n0)) 0.44/0.70 (define @t93 () (not @t92)) 0.44/0.70 (define @t94 () (tptp.s1 tptp.n0)) 0.44/0.70 (define @t95 () (and @t94 @t93 @t91 @t90)) 0.44/0.70 (define @t96 () (=> @t95 @t89)) 0.44/0.70 (define @t97 () (not @t96)) 0.44/0.70 (define @t98 () (forall @t6 (or @t5 @t7))) 0.44/0.70 (define @t99 () (not @t98)) 0.44/0.70 (define @t100 () (not @t85)) 0.44/0.70 (define @t101 () (not @t87)) 0.44/0.70 (define @t102 () (or @t101 @t58 @t100 @t99)) 0.44/0.70 (define @t103 () (and @t87 @t56 @t85 @t98)) 0.44/0.70 (define @t104 () (forall @t14 (not @t103))) 0.44/0.70 (define @t105 () (not @t104)) 0.44/0.70 (define @t106 () (forall @t52 (or (not @t51) @t50))) 0.44/0.70 (define @t107 () (not @t106)) 0.44/0.70 (define @t108 () (and (not @t75) (not @t54))) 0.44/0.70 (define @t109 () (not @t74)) 0.44/0.70 (define @t110 () (tptp.gt tptp.n0 @t1)) 0.44/0.70 (define @t111 () (or @t110 @t109 @t108 @t107)) 0.44/0.70 (define @t112 () (or @t110 @t107 @t108 @t109)) 0.44/0.70 (define @t113 () (forall @t6 @t112)) 0.44/0.70 (define @t114 () (forall @t6 @t111)) 0.44/0.70 (define @t115 () (@var "BOUND_VARIABLE_10185" $$unsorted)) 0.44/0.70 (define @t116 () (@var "BOUND_VARIABLE_10186" $$unsorted)) 0.44/0.70 (define @t117 () (@list @t115 @t116)) 0.44/0.70 (define @t118 () (forall @t14 (or @t86 @t58 (and @t22 @t23) @t99))) 0.44/0.70 (define @t119 () (@list false)) 0.44/0.70 (define @t120 () (@var "BOUND_VARIABLE_7893" $$unsorted)) 0.44/0.70 (define @t121 () (tptp.conditionnormo @t120)) 0.44/0.70 (define @t122 () (tptp.gt @t3 @t120)) 0.44/0.70 (define @t123 () (not (forall @t6 (or @t4 @t107 @t108 @t109)))) 0.44/0.70 (define @t124 () (or @t122 @t121)) 0.44/0.70 (define @t125 () (or @t67 @t124 @t123)) 0.44/0.70 (define @t126 () (forall (@list @t3 @t120) @t125)) 0.44/0.70 (define @t127 () (@list @t120)) 0.44/0.70 (define @t128 () (forall @t127 @t125)) 0.44/0.70 (define @t129 () (forall @t127 @t124)) 0.44/0.70 (define @t130 () (@list @t1)) 0.44/0.70 (define @t131 () (or @t67 @t129 @t123)) 0.44/0.70 (define @t132 () (forall @t6 (or @t4 @t2))) 0.44/0.70 (define @t133 () (or @t67 @t132 @t123)) 0.44/0.70 (define @t134 () (not @t132)) 0.44/0.70 (define @t135 () (and @t66 @t134)) 0.44/0.70 (define @t136 () (not @t76)) 0.44/0.70 (define @t137 () (not @t5)) 0.44/0.70 (define @t138 () (or @t137 @t107 @t136 @t109)) 0.44/0.70 (define @t139 () (and @t5 @t106 @t76 @t74)) 0.44/0.70 (define @t140 () (forall @t6 (not @t139))) 0.44/0.70 (define @t141 () (not @t140)) 0.44/0.70 (define @t142 () (forall @t6 (or @t110 @t2))) 0.44/0.70 (define @t143 () (@quantifiers_skolemize @t142 0)) 0.44/0.70 (define @t144 () (@var "BOUND_VARIABLE_7800" $$unsorted)) 0.44/0.70 (define @t145 () (or (tptp.gt @t3 @t144) (tptp.bsecretioni @t144))) 0.44/0.70 (define @t146 () (@var "BOUND_VARIABLE_7794" $$unsorted)) 0.44/0.70 (define @t147 () (or (not (tptp.gt @t3 @t146)) (tptp.conditionhyper @t146))) 0.44/0.70 (define @t148 () (and @t28 @t147 @t27 @t145)) 0.44/0.70 (define @t149 () (@var "BOUND_VARIABLE_7786" $$unsorted)) 0.44/0.70 (define @t150 () (or (tptp.gt @t3 @t149) (not (tptp.releaselg @t149)))) 0.44/0.70 (define @t151 () (@var "BOUND_VARIABLE_7780" $$unsorted)) 0.44/0.70 (define @t152 () (or (not (tptp.gt @t3 @t151)) (tptp.conditionhyper @t151))) 0.44/0.70 (define @t153 () (and @t28 @t152 @t42 @t150)) 0.44/0.70 (define @t154 () (@var "BOUND_VARIABLE_7774" $$unsorted)) 0.44/0.70 (define @t155 () (or (tptp.gt @t3 @t154) (tptp.uptakelg @t154))) 0.44/0.70 (define @t156 () (@var "BOUND_VARIABLE_7769" $$unsorted)) 0.44/0.70 (define @t157 () (or (tptp.gt @t3 @t156) (tptp.uptakepg @t156))) 0.44/0.70 (define @t158 () (@var "BOUND_VARIABLE_7763" $$unsorted)) 0.44/0.70 (define @t159 () (or (not (tptp.gt @t3 @t158)) (tptp.conditionhyper @t158))) 0.44/0.70 (define @t160 () (and @t9 @t159 @t157 @t155)) 0.44/0.70 (define @t161 () (@var "BOUND_VARIABLE_7757" $$unsorted)) 0.44/0.70 (define @t162 () (or (tptp.gt @t3 @t161) (tptp.bsecretioni @t161))) 0.44/0.70 (define @t163 () (@var "BOUND_VARIABLE_7751" $$unsorted)) 0.44/0.70 (define @t164 () (or (not (tptp.gt @t3 @t163)) (tptp.conditionhyper @t163))) 0.44/0.70 (define @t165 () (@var "BOUND_VARIABLE_7745" $$unsorted)) 0.44/0.70 (define @t166 () (tptp.uptakepg @t165)) 0.44/0.70 (define @t167 () (tptp.gt @t3 @t165)) 0.44/0.70 (define @t168 () (@var "BOUND_VARIABLE_7739" $$unsorted)) 0.44/0.70 (define @t169 () (not (tptp.releaselg @t168))) 0.44/0.70 (define @t170 () (tptp.gt @t3 @t168)) 0.44/0.70 (define @t171 () (or @t167 @t166)) 0.44/0.70 (define @t172 () (or @t170 @t169)) 0.44/0.70 (define @t173 () (or @t172 @t171)) 0.44/0.70 (define @t174 () (and @t173 @t164 @t162 @t21)) 0.44/0.70 (define @t175 () (or @t134 @t174 @t160 @t153 @t148)) 0.44/0.70 (define @t176 () (forall (@list @t3 @t168 @t165 @t163 @t161 @t158 @t156 @t154 @t151 @t149 @t146 @t144) @t175)) 0.44/0.70 (define @t177 () (forall (@list @t168 @t165 @t163 @t161 @t158 @t156 @t154 @t151 @t149 @t146 @t144) @t175)) 0.44/0.70 (define @t178 () (forall (@list @t144) @t145)) 0.44/0.70 (define @t179 () (@list @t146 @t144)) 0.44/0.70 (define @t180 () (forall @t179 @t145)) 0.44/0.70 (define @t181 () (forall @t179 @t27)) 0.44/0.70 (define @t182 () (forall (@list @t146) @t147)) 0.44/0.70 (define @t183 () (forall @t179 @t147)) 0.44/0.70 (define @t184 () (forall @t179 @t28)) 0.44/0.70 (define @t185 () (and @t184 @t183 @t181 @t180)) 0.44/0.70 (define @t186 () (forall @t179 @t148)) 0.44/0.70 (define @t187 () (forall (@list @t149) @t150)) 0.44/0.70 (define @t188 () (@list @t151 @t149)) 0.44/0.70 (define @t189 () (forall @t188 @t150)) 0.44/0.70 (define @t190 () (forall @t188 @t42)) 0.44/0.70 (define @t191 () (forall (@list @t151) @t152)) 0.44/0.70 (define @t192 () (forall @t188 @t152)) 0.44/0.70 (define @t193 () (forall @t188 @t28)) 0.44/0.70 (define @t194 () (and @t193 @t192 @t190 @t189)) 0.44/0.70 (define @t195 () (forall @t188 @t153)) 0.44/0.70 (define @t196 () (forall (@list @t154) @t155)) 0.44/0.70 (define @t197 () (@list @t158 @t156 @t154)) 0.44/0.70 (define @t198 () (forall @t197 @t155)) 0.44/0.70 (define @t199 () (forall (@list @t156) @t157)) 0.44/0.70 (define @t200 () (forall @t197 @t157)) 0.44/0.70 (define @t201 () (forall (@list @t158) @t159)) 0.44/0.70 (define @t202 () (forall @t197 @t159)) 0.44/0.70 (define @t203 () (forall @t197 @t9)) 0.44/0.70 (define @t204 () (and @t203 @t202 @t200 @t198)) 0.44/0.70 (define @t205 () (forall @t197 @t160)) 0.44/0.70 (define @t206 () (@list @t168 @t165 @t163 @t161)) 0.44/0.70 (define @t207 () (forall @t206 @t21)) 0.44/0.70 (define @t208 () (forall (@list @t161) @t162)) 0.44/0.70 (define @t209 () (forall @t206 @t162)) 0.44/0.70 (define @t210 () (forall (@list @t163) @t164)) 0.44/0.70 (define @t211 () (forall @t206 @t164)) 0.44/0.70 (define @t212 () (forall (@list @t165) @t171)) 0.44/0.70 (define @t213 () (forall (@list @t168) @t172)) 0.44/0.70 (define @t214 () (or @t213 @t212)) 0.44/0.70 (define @t215 () (forall (@list @t168 @t165) @t173)) 0.44/0.70 (define @t216 () (forall @t206 @t173)) 0.44/0.70 (define @t217 () (and @t216 @t211 @t209 @t207)) 0.44/0.70 (define @t218 () (forall @t206 @t174)) 0.44/0.70 (define @t219 () (or @t134 @t218 @t205 @t195 @t186)) 0.44/0.70 (define @t220 () (forall @t6 (or @t4 @t25))) 0.44/0.70 (define @t221 () (and @t28 @t98 @t27 @t220)) 0.44/0.70 (define @t222 () (forall @t6 (or @t4 @t30))) 0.44/0.70 (define @t223 () (and @t28 @t98 @t42 @t222)) 0.44/0.70 (define @t224 () (forall @t6 (or @t4 @t12))) 0.44/0.70 (define @t225 () (forall @t6 (or @t4 @t10))) 0.44/0.70 (define @t226 () (and @t9 @t98 @t225 @t224)) 0.44/0.70 (define @t227 () (and (or @t222 @t225) @t98 @t220 @t21)) 0.44/0.70 (define @t228 () (or @t134 @t227 @t226 @t223 @t221)) 0.44/0.70 (define @t229 () (or @t227 @t226 @t223 @t221)) 0.44/0.70 (define @t230 () (@quantifiers_skolemize (forall @t6 (or @t110 @t25)) 0)) 0.44/0.70 (define @t231 () (forall @t6 (or @t110 @t30))) 0.44/0.70 (define @t232 () (@quantifiers_skolemize @t231 0)) 0.44/0.70 (define @t233 () (forall @t6 (or @t110 @t10))) 0.44/0.70 (define @t234 () (@quantifiers_skolemize @t233 0)) 0.44/0.70 (define @t235 () (or (tptp.gt tptp.n0 @t230) (tptp.bsecretioni @t230))) 0.44/0.70 (define @t236 () (tptp.gt tptp.n0 @t143)) 0.44/0.70 (define @t237 () (or (not @t236) (tptp.conditionhyper @t143))) 0.44/0.70 (define @t238 () (and @t92 @t237 @t91 @t235)) 0.44/0.70 (define @t239 () (@list true)) 0.44/0.70 (define @t240 () (@list @t92)) 0.44/0.70 (define @t241 () (tptp.releaselg @t232)) 0.44/0.70 (define @t242 () (not @t241)) 0.44/0.70 (define @t243 () (tptp.gt tptp.n0 @t232)) 0.44/0.70 (define @t244 () (or @t243 @t242)) 0.44/0.70 (define @t245 () (not @t91)) 0.44/0.70 (define @t246 () (and @t92 @t237 @t245 @t244)) 0.44/0.70 (define @t247 () (@var "BOUND_VARIABLE_7860" $$unsorted)) 0.44/0.70 (define @t248 () (tptp.drugi @t247)) 0.44/0.70 (define @t249 () (tptp.gt @t3 @t247)) 0.44/0.70 (define @t250 () (and (not @t225) (not @t224))) 0.44/0.70 (define @t251 () (or @t249 @t248)) 0.44/0.70 (define @t252 () (or @t250 @t251)) 0.44/0.70 (define @t253 () (forall (@list @t3 @t247) @t252)) 0.44/0.70 (define @t254 () (@list @t247)) 0.44/0.70 (define @t255 () (forall @t254 @t252)) 0.44/0.70 (define @t256 () (forall @t254 @t251)) 0.44/0.70 (define @t257 () (or @t250 @t256)) 0.44/0.70 (define @t258 () (forall @t6 (or @t4 @t33))) 0.44/0.70 (define @t259 () (or @t225 @t224)) 0.44/0.70 (define @t260 () (@list tptp.n0 tptp.n0)) 0.44/0.70 (define @t261 () (@list tptp.n0)) 0.44/0.70 (define @t262 () (not @t94)) 0.44/0.70 (define @t263 () (tptp.s3 tptp.n0)) 0.44/0.70 (define @t264 () (not @t263)) 0.44/0.70 (define @t265 () (or @t264 @t262)) 0.44/0.70 (define @t266 () (@list false false)) 0.44/0.70 (define @t267 () (tptp.drugi tptp.n0)) 0.44/0.70 (define @t268 () (not @t267)) 0.44/0.70 (define @t269 () (or @t268 @t263)) 0.44/0.70 (define @t270 () (tptp.gt tptp.n0 tptp.n0)) 0.44/0.70 (define @t271 () (not @t233)) 0.44/0.70 (define @t272 () (and @t271 (not (forall @t6 (or @t110 @t12))))) 0.44/0.70 (define @t273 () (or @t272 @t270 @t267)) 0.44/0.70 (define @t274 () (@list true true false)) 0.44/0.70 (define @t275 () (tptp.uptakepg @t234)) 0.44/0.70 (define @t276 () (tptp.gt tptp.n0 @t234)) 0.44/0.70 (define @t277 () (or @t276 @t275)) 0.44/0.70 (define @t278 () (and (tptp.bcapacityex tptp.n0) (or (not @t270) (tptp.conditionhyper tptp.n0)) @t277 (or @t243 (tptp.uptakelg @t232)))) 0.44/0.70 (define @t279 () (@list @t277)) 0.44/0.70 (define @t280 () (@var "BOUND_VARIABLE_7687" $$unsorted)) 0.44/0.70 (define @t281 () (tptp.drugbg @t280)) 0.44/0.70 (define @t282 () (tptp.gt @t3 @t280)) 0.44/0.70 (define @t283 () (not @t222)) 0.44/0.70 (define @t284 () (or @t282 @t281)) 0.44/0.70 (define @t285 () (or @t283 @t284)) 0.44/0.70 (define @t286 () (forall (@list @t3 @t280) @t285)) 0.44/0.70 (define @t287 () (@list @t280)) 0.44/0.70 (define @t288 () (forall @t287 @t285)) 0.44/0.70 (define @t289 () (forall @t287 @t284)) 0.44/0.70 (define @t290 () (or @t283 @t289)) 0.44/0.70 (define @t291 () (forall @t6 (or @t4 @t38))) 0.44/0.70 (define @t292 () (not @t68)) 0.44/0.70 (define @t293 () (and @t94 @t245)) 0.44/0.70 (define @t294 () (tptp.s2 tptp.n0)) 0.44/0.70 (define @t295 () (not @t294)) 0.44/0.70 (define @t296 () (or @t262 @t295)) 0.44/0.70 (define @t297 () (tptp.drugbg tptp.n0)) 0.44/0.70 (define @t298 () (not @t297)) 0.44/0.70 (define @t299 () (or @t298 @t293 @t294 @t263)) 0.44/0.70 (define @t300 () (not @t231)) 0.44/0.70 (define @t301 () (or @t300 @t270 @t297)) 0.44/0.70 (define @t302 () (@list @t244)) 0.44/0.70 (define @t303 () (or @t243 @t242 @t276 @t275)) 0.44/0.70 (define @t304 () (and @t303 @t237 @t235 (tptp.bcapacityne tptp.n0))) 0.44/0.70 (define @t305 () (not @t142)) 0.44/0.70 (define @t306 () (or @t305 @t304 @t278 @t246 @t238)) 0.44/0.70 (define @t307 () (tptp.conditionnormo @t143)) 0.44/0.70 (define @t308 () (or @t236 @t307)) 0.44/0.70 (define @t309 () (@list @t308)) 0.44/0.70 (define @t310 () (not @t113)) 0.44/0.70 (define @t311 () (or @t262 @t310 @t236 @t307)) 0.44/0.70 (assume @p1 (forall @t14 (=> (and @t13 @t11 @t9 @t8) (forall @t6 (=> @t5 (or (tptp.conditionhypo @t1) @t2)))))) 0.44/0.70 (assume @p2 (forall @t14 (or @t18 @t16))) 0.44/0.70 (assume @p3 (forall @t14 (or @t20 @t16))) 0.44/0.70 (assume @p4 (forall @t14 (or @t17 @t19 @t15))) 0.44/0.70 (assume @p5 (forall @t14 (or @t23 @t22))) 0.44/0.70 (assume @p6 (forall @t14 (=> @t29 @t24))) 0.44/0.70 (assume @p7 (forall @t31 (=> @t5 (=> @t12 @t30)))) 0.44/0.70 (assume @p8 (forall (@list @t32) (not (tptp.gt @t32 @t32)))) 0.44/0.70 (assume @p9 (forall @t14 (=> @t34 (forall @t6 (=> @t5 (and @t12 @t10)))))) 0.44/0.70 (assume @p10 (forall @t14 (or @t21 @t28 @t9))) 0.44/0.70 (assume @p11 (forall @t14 (or @t23 @t35))) 0.44/0.70 (assume @p12 (forall @t14 (=> (and @t36 @t23) @t26))) 0.44/0.70 (assume @p13 (forall @t14 (or @t22 @t35))) 0.44/0.70 (assume @p14 (forall @t14 (=> @t39 @t37))) 0.44/0.70 (assume @p15 (forall (@list @t32 @t41 @t40) (=> (and (tptp.gt @t41 @t40) (tptp.gt @t32 @t41)) (tptp.gt @t32 @t40)))) 0.44/0.70 (assume @p16 (forall @t14 (or @t20 @t18))) 0.44/0.70 (assume @p17 (forall @t14 (=> (and @t37 @t42 @t8 @t28) @t24))) 0.44/0.70 (assume @p18 (forall @t14 (=> (and @t21 @t8 @t26 @t43) @t24))) 0.44/0.70 (assume @p19 @t46) 0.44/0.70 (assume @p20 @t48) 0.44/0.70 (assume @p21 (forall @t14 (=> (and @t56 @t55) (exists @t6 (and @t5 @t54 @t53 (tptp.s3 @t1)))))) 0.44/0.70 (assume @p22 (forall @t14 (or @t58 @t57))) 0.44/0.70 (assume @p23 @t64) 0.44/0.70 (assume @p24 (forall @t14 (=> (and @t66 @t27) @t65))) 0.44/0.70 (assume @p25 (forall @t14 (or @t67 @t58))) 0.44/0.70 (assume @p26 (forall @t14 (=> @t44 (or @t45 (and @t45 (or @t68 @t65)))))) 0.44/0.70 (assume @p27 (forall @t31 (=> @t5 (=> @t30 @t12)))) 0.44/0.70 (assume @p28 (forall @t14 (=> (and @t55 @t69) (exists @t6 (and @t5 (tptp.s1 @t1) @t53))))) 0.44/0.70 (assume @p29 (forall @t14 (or @t66 @t56 @t44 @t69))) 0.44/0.70 (assume @p30 @t72) 0.44/0.70 (assume @p31 (forall @t14 (=> @t56 (and @t68 @t65)))) 0.44/0.70 (assume @p32 (forall @t14 (or @t73 @t57))) 0.44/0.70 (assume @p33 @t81) 0.44/0.70 (assume @p34 (forall @t14 (or @t73 @t58))) 0.44/0.70 (assume @p35 @t84) 0.44/0.70 (assume @p36 (forall @t14 (or @t73 @t67))) 0.44/0.70 (assume @p37 (forall @t14 (=> (and @t42 @t66) @t68))) 0.44/0.70 (assume @p38 (forall @t14 (=> @t26 (and @t23 @t36)))) 0.44/0.70 (assume @p39 (forall @t14 (or @t57 @t67))) 0.44/0.70 (assume @p40 (forall @t14 (=> @t65 (or (and (tptp.qillt27 @t3) @t66) @t56 @t44)))) 0.44/0.70 (assume @p41 @t97) 0.44/0.70 (assume @p42 true) 0.44/0.70 (step @p43 :rule refl :args (@t99)) 0.44/0.70 (step @p44 :rule bool-or-de-morgan :args (@t21 @t9 false)) 0.44/0.70 (step @p45 :rule refl :args (@t58)) 0.44/0.70 (step @p46 :rule refl :args (@t86)) 0.44/0.70 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44 @p43) :args ((or @t86 @t58 @t100 @t99))) 0.44/0.70 (step @p48 :rule refl :args (@t100)) 0.44/0.70 (step @p49 :rule bool-double-not-elim :args (@t86)) 0.44/0.70 (step @p50 :rule nary_cong :premises (@p49 @p45 @p48 @p43) :args (@t102)) 0.44/0.70 (step @p51 :rule aci_norm :args ((= (or @t101 (or @t58 (or @t100 @t99))) @t102))) 0.44/0.70 (step @p52 :rule trans :premises (@p51 @p50)) 0.44/0.70 (step @p53 :rule bool-and-de-morgan :args (@t85 @t98 true)) 0.44/0.70 (step @p54 :rule nary_cong :premises (@p45 @p53) :args ((or @t58 (not (and @t85 @t98))))) 0.44/0.70 (step @p55 :rule bool-and-de-morgan :args (@t56 @t85 (and @t98))) 0.44/0.70 (step @p56 :rule trans :premises (@p55 @p54)) 0.44/0.70 (step @p57 :rule refl :args (@t101)) 0.44/0.70 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t101 (not (and @t56 @t85 @t98))))) 0.44/0.70 (step @p59 :rule bool-and-de-morgan :args (@t87 @t56 (and @t85 @t98))) 0.44/0.70 (step @p60 :rule trans :premises (@p59 @p58)) 0.44/0.70 (step @p61 :rule trans :premises (@p60 @p52)) 0.44/0.70 (step @p62 :rule trans :premises (@p61 @p47)) 0.44/0.70 (step @p63 :rule cong :premises (@p62) :args (@t104)) 0.44/0.70 (step @p64 :rule cong :premises (@p63) :args (@t105)) 0.44/0.70 (step @p65 :rule exists-elim :args ((= (exists @t14 @t103) @t105))) 0.44/0.70 (step @p66 :rule trans :premises (@p65 @p64)) 0.44/0.70 (step @p67 :rule bool-impl-elim :args (@t4 @t7)) 0.44/0.70 (step @p68 :rule cong :premises (@p67) :args (@t8)) 0.44/0.70 (step @p69 :rule refl :args (@t85)) 0.44/0.70 (step @p70 :rule refl :args (@t56)) 0.44/0.70 (step @p71 :rule refl :args (@t87)) 0.44/0.70 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69 @p68) :args (@t88)) 0.44/0.70 (step @p73 :rule cong :premises (@p72) :args (@t89)) 0.44/0.70 (step @p74 :rule trans :premises (@p73 @p66)) 0.44/0.70 (step @p75 :rule bool-impl-elim :args (@t86 @t15)) 0.44/0.70 (step @p76 :rule cong :premises (@p75) :args (@t90)) 0.44/0.70 (step @p77 :rule refl :args (@t91)) 0.44/0.70 (step @p78 :rule refl :args (@t93)) 0.44/0.70 (step @p79 :rule refl :args (@t94)) 0.44/0.70 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77 @p76) :args (@t95)) 0.44/0.70 (step @p81 :rule cong :premises (@p80 @p74) :args (@t96)) 0.44/0.70 (step @p82 :rule cong :premises (@p81) :args (@t97)) 0.44/0.70 (step @p83 :rule eq_resolve :premises (@p41 @p82)) 0.44/0.70 (step @p84 :rule not_implies_elim1 :premises (@p83)) 0.44/0.70 (step @p85 :rule and_elim :premises (@p84) :args (0)) 0.44/0.70 (step @p86 :rule not_implies_elim2 :premises (@p83)) 0.44/0.70 (step @p87 :rule not_not_elim :premises (@p86)) 0.44/0.70 (step @p88 :rule aci_norm :args ((= @t112 @t111))) 0.44/0.70 (step @p89 :rule cong :premises (@p88) :args (@t113)) 0.44/0.70 (step @p90 :rule symm :premises (@p89)) 0.44/0.70 (step @p91 :rule true_intro :premises (@p90)) 0.44/0.70 (step @p92 :rule eq-symm :args (@t113 @t114)) 0.44/0.70 (step @p93 :rule trans :premises (@p92 @p91)) 0.44/0.70 (step @p94 :rule cong :premises (@p90 @p89) :args ((= @t114 @t113))) 0.44/0.70 (step @p95 :rule trans :premises (@p94 @p93)) 0.44/0.70 (step @p96 :rule true_elim :premises (@p95)) 0.44/0.70 (step @p97 :rule alpha_equiv :args ((forall (@list @t116) (or (tptp.gt tptp.n0 @t116) (not (tptp.s2 @t116)) (and (not (tptp.bcapacityne @t116)) (not (tptp.bcapacityex @t116))) (not (forall (@list @t115) (or (not (tptp.gt @t116 @t115)) (tptp.conditionhyper @t115)))))) @t117 (@list @t49 @t1))) 0.44/0.70 (step @p98 :rule alpha_equiv :args (@t118 (@list @t1 @t3) @t117)) 0.44/0.70 (step @p99 :rule trans :premises (@p98 @p97 @p96)) 0.44/0.70 (step @p100 :rule equiv_elim1 :premises (@p99)) 0.44/0.70 (step @p101 :rule chain_resolution :premises (@p100 @p87) :args (@t119 (@list @t118))) 0.44/0.70 (step @p102 :rule aci_norm :args ((= @t125 (or @t67 @t123 @t122 @t121)))) 0.44/0.70 (step @p103 :rule cong :premises (@p102) :args (@t126)) 0.44/0.70 (step @p104 :rule quant-merge-prenex :args ((= (forall @t14 @t128) @t126))) 0.44/0.70 (step @p105 :rule refl :args (@t123)) 0.44/0.70 (step @p106 :rule alpha_equiv :args (@t129 (@list @t120) @t130)) 0.44/0.70 (step @p107 :rule refl :args (@t67)) 0.44/0.70 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105) :args (@t131)) 0.44/0.70 (step @p109 :rule quant-miniscope-or :args ((= @t128 @t131))) 0.44/0.70 (step @p110 :rule trans :premises (@p109 @p108)) 0.44/0.70 (step @p111 :rule symm :premises (@p110)) 0.44/0.70 (step @p112 :rule cong :premises (@p111) :args ((forall @t14 @t133))) 0.44/0.70 (step @p113 :rule trans :premises (@p112 @p104)) 0.44/0.70 (step @p114 :rule trans :premises (@p113 @p103)) 0.44/0.70 (step @p115 :rule aci_norm :args ((= (or (or @t67 @t132) @t123) @t133))) 0.44/0.70 (step @p116 :rule bool-double-not-elim :args (@t132)) 0.44/0.70 (step @p117 :rule nary_cong :premises (@p107 @p116) :args ((or @t67 (not @t134)))) 0.44/0.70 (step @p118 :rule bool-and-de-morgan :args (@t66 @t134 true)) 0.44/0.70 (step @p119 :rule trans :premises (@p118 @p117)) 0.44/0.70 (step @p120 :rule nary_cong :premises (@p119 @p105) :args ((or (not @t135) @t123))) 0.44/0.70 (step @p121 :rule trans :premises (@p120 @p115)) 0.44/0.70 (step @p122 :rule bool-impl-elim :args (@t135 @t123)) 0.44/0.70 (step @p123 :rule trans :premises (@p122 @p121)) 0.44/0.70 (step @p124 :rule cong :premises (@p123) :args ((forall @t14 (=> @t135 @t123)))) 0.44/0.70 (step @p125 :rule trans :premises (@p124 @p114)) 0.44/0.70 (step @p126 :rule refl :args (@t109)) 0.44/0.70 (step @p127 :rule bool-or-de-morgan :args (@t75 @t54 false)) 0.44/0.70 (step @p128 :rule refl :args (@t107)) 0.44/0.70 (step @p129 :rule refl :args (@t4)) 0.44/0.70 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127 @p126) :args ((or @t4 @t107 @t136 @t109))) 0.44/0.70 (step @p131 :rule refl :args (@t136)) 0.44/0.70 (step @p132 :rule bool-double-not-elim :args (@t4)) 0.44/0.70 (step @p133 :rule nary_cong :premises (@p132 @p128 @p131 @p126) :args (@t138)) 0.44/0.70 (step @p134 :rule aci_norm :args ((= (or @t137 (or @t107 (or @t136 @t109))) @t138))) 0.44/0.70 (step @p135 :rule trans :premises (@p134 @p133)) 0.44/0.70 (step @p136 :rule bool-and-de-morgan :args (@t76 @t74 true)) 0.44/0.70 (step @p137 :rule nary_cong :premises (@p128 @p136) :args ((or @t107 (not (and @t76 @t74))))) 0.44/0.70 (step @p138 :rule bool-and-de-morgan :args (@t106 @t76 (and @t74))) 0.44/0.70 (step @p139 :rule trans :premises (@p138 @p137)) 0.44/0.70 (step @p140 :rule refl :args (@t137)) 0.44/0.70 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t137 (not (and @t106 @t76 @t74))))) 0.44/0.70 (step @p142 :rule bool-and-de-morgan :args (@t5 @t106 (and @t76 @t74))) 0.44/0.70 (step @p143 :rule trans :premises (@p142 @p141)) 0.44/0.70 (step @p144 :rule trans :premises (@p143 @p135)) 0.44/0.70 (step @p145 :rule trans :premises (@p144 @p130)) 0.44/0.70 (step @p146 :rule cong :premises (@p145) :args (@t140)) 0.44/0.71 (step @p147 :rule cong :premises (@p146) :args (@t141)) 0.44/0.71 (step @p148 :rule exists-elim :args ((= (exists @t6 @t139) @t141))) 0.44/0.71 (step @p149 :rule trans :premises (@p148 @p147)) 0.44/0.71 (step @p150 :rule refl :args (@t74)) 0.44/0.71 (step @p151 :rule refl :args (@t76)) 0.44/0.71 (step @p152 :rule bool-impl-elim :args (@t51 @t50)) 0.44/0.71 (step @p153 :rule cong :premises (@p152) :args (@t53)) 0.44/0.71 (step @p154 :rule refl :args (@t5)) 0.44/0.71 (step @p155 :rule nary_cong :premises (@p154 @p153 @p151 @p150) :args (@t77)) 0.44/0.71 (step @p156 :rule cong :premises (@p155) :args (@t78)) 0.44/0.71 (step @p157 :rule trans :premises (@p156 @p149)) 0.44/0.71 (step @p158 :rule refl :args (@t2)) 0.44/0.71 (step @p159 :rule nary_cong :premises (@p132 @p158) :args ((or @t137 @t2))) 0.44/0.71 (step @p160 :rule bool-impl-elim :args (@t5 @t2)) 0.44/0.71 (step @p161 :rule trans :premises (@p160 @p159)) 0.44/0.71 (step @p162 :rule cong :premises (@p161) :args (@t24)) 0.44/0.71 (step @p163 :rule cong :premises (@p162) :args (@t55)) 0.44/0.71 (step @p164 :rule refl :args (@t66)) 0.44/0.71 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t79)) 0.44/0.71 (step @p166 :rule cong :premises (@p165 @p157) :args (@t80)) 0.44/0.71 (step @p167 :rule cong :premises (@p166) :args (@t81)) 0.44/0.71 (step @p168 :rule trans :premises (@p167 @p125)) 0.44/0.71 (step @p169 :rule eq_resolve :premises (@p33 @p168)) 0.44/0.71 (step @p170 :rule instantiate :premises (@p169) :args ((@list tptp.n0 @t143))) 0.44/0.71 (step @p171 :rule refl :args (@t148)) 0.44/0.71 (step @p172 :rule refl :args (@t153)) 0.44/0.71 (step @p173 :rule refl :args (@t160)) 0.44/0.71 (step @p174 :rule refl :args (@t21)) 0.44/0.71 (step @p175 :rule refl :args (@t162)) 0.44/0.71 (step @p176 :rule refl :args (@t164)) 0.44/0.71 (step @p177 :rule aci_norm :args ((= @t173 (or @t170 @t169 @t167 @t166)))) 0.44/0.71 (step @p178 :rule nary_cong :premises (@p177 @p176 @p175 @p174) :args (@t174)) 0.44/0.71 (step @p179 :rule refl :args (@t134)) 0.44/0.71 (step @p180 :rule nary_cong :premises (@p179 @p178 @p173 @p172 @p171) :args (@t175)) 0.44/0.71 (step @p181 :rule cong :premises (@p180) :args (@t176)) 0.44/0.71 (step @p182 :rule quant-merge-prenex :args ((= (forall @t14 @t177) @t176))) 0.44/0.71 (step @p183 :rule alpha_equiv :args (@t178 (@list @t144) @t130)) 0.44/0.71 (step @p184 :rule quant-unused-vars :args ((= @t180 @t178))) 0.44/0.71 (step @p185 :rule trans :premises (@p184 @p183)) 0.44/0.71 (step @p186 :rule quant-unused-vars :args ((= @t181 @t27))) 0.44/0.71 (step @p187 :rule alpha_equiv :args (@t182 (@list @t146) @t130)) 0.44/0.71 (step @p188 :rule quant-unused-vars :args ((= @t183 @t182))) 0.44/0.71 (step @p189 :rule trans :premises (@p188 @p187)) 0.44/0.71 (step @p190 :rule quant-unused-vars :args ((= @t184 @t28))) 0.44/0.71 (step @p191 :rule nary_cong :premises (@p190 @p189 @p186 @p185) :args (@t185)) 0.44/0.71 (step @p192 :rule quant-miniscope-and :args ((= @t186 @t185))) 0.44/0.71 (step @p193 :rule trans :premises (@p192 @p191)) 0.44/0.71 (step @p194 :rule alpha_equiv :args (@t187 (@list @t149) @t130)) 0.44/0.71 (step @p195 :rule quant-unused-vars :args ((= @t189 @t187))) 0.44/0.71 (step @p196 :rule trans :premises (@p195 @p194)) 0.44/0.71 (step @p197 :rule quant-unused-vars :args ((= @t190 @t42))) 0.44/0.71 (step @p198 :rule alpha_equiv :args (@t191 (@list @t151) @t130)) 0.44/0.71 (step @p199 :rule quant-unused-vars :args ((= @t192 @t191))) 0.44/0.71 (step @p200 :rule trans :premises (@p199 @p198)) 0.44/0.71 (step @p201 :rule quant-unused-vars :args ((= @t193 @t28))) 0.44/0.71 (step @p202 :rule nary_cong :premises (@p201 @p200 @p197 @p196) :args (@t194)) 0.44/0.71 (step @p203 :rule quant-miniscope-and :args ((= @t195 @t194))) 0.44/0.71 (step @p204 :rule trans :premises (@p203 @p202)) 0.44/0.71 (step @p205 :rule alpha_equiv :args (@t196 (@list @t154) @t130)) 0.44/0.71 (step @p206 :rule quant-unused-vars :args ((= @t198 @t196))) 0.44/0.71 (step @p207 :rule trans :premises (@p206 @p205)) 0.44/0.71 (step @p208 :rule alpha_equiv :args (@t199 (@list @t156) @t130)) 0.44/0.71 (step @p209 :rule quant-unused-vars :args ((= @t200 @t199))) 0.44/0.71 (step @p210 :rule trans :premises (@p209 @p208)) 0.44/0.71 (step @p211 :rule alpha_equiv :args (@t201 (@list @t158) @t130)) 0.44/0.71 (step @p212 :rule quant-unused-vars :args ((= @t202 @t201))) 0.44/0.71 (step @p213 :rule trans :premises (@p212 @p211)) 0.44/0.71 (step @p214 :rule quant-unused-vars :args ((= @t203 @t9))) 0.44/0.71 (step @p215 :rule nary_cong :premises (@p214 @p213 @p210 @p207) :args (@t204)) 0.44/0.71 (step @p216 :rule quant-miniscope-and :args ((= @t205 @t204))) 0.44/0.71 (step @p217 :rule trans :premises (@p216 @p215)) 0.44/0.71 (step @p218 :rule quant-unused-vars :args ((= @t207 @t21))) 0.44/0.71 (step @p219 :rule alpha_equiv :args (@t208 (@list @t161) @t130)) 0.44/0.71 (step @p220 :rule quant-unused-vars :args ((= @t209 @t208))) 0.44/0.71 (step @p221 :rule trans :premises (@p220 @p219)) 0.44/0.71 (step @p222 :rule alpha_equiv :args (@t210 (@list @t163) @t130)) 0.44/0.71 (step @p223 :rule quant-unused-vars :args ((= @t211 @t210))) 0.44/0.71 (step @p224 :rule trans :premises (@p223 @p222)) 0.44/0.71 (step @p225 :rule alpha_equiv :args (@t212 (@list @t165) @t130)) 0.44/0.71 (step @p226 :rule alpha_equiv :args (@t213 (@list @t168) @t130)) 0.44/0.71 (step @p227 :rule nary_cong :premises (@p226 @p225) :args (@t214)) 0.44/0.71 (step @p228 :rule quant-miniscope-or :args ((= @t215 @t214))) 0.44/0.71 (step @p229 :rule quant-unused-vars :args ((= @t216 @t215))) 0.44/0.71 (step @p230 :rule trans :premises (@p229 @p228)) 0.44/0.71 (step @p231 :rule trans :premises (@p230 @p227)) 0.44/0.71 (step @p232 :rule nary_cong :premises (@p231 @p224 @p221 @p218) :args (@t217)) 0.44/0.71 (step @p233 :rule quant-miniscope-and :args ((= @t218 @t217))) 0.44/0.71 (step @p234 :rule trans :premises (@p233 @p232)) 0.44/0.71 (step @p235 :rule refl :args (@t134)) 0.44/0.71 (step @p236 :rule nary_cong :premises (@p235 @p234 @p217 @p204 @p193) :args (@t219)) 0.44/0.71 (step @p237 :rule quant-miniscope-or :args ((= @t177 @t219))) 0.44/0.71 (step @p238 :rule trans :premises (@p237 @p236)) 0.44/0.71 (step @p239 :rule symm :premises (@p238)) 0.44/0.71 (step @p240 :rule cong :premises (@p239) :args ((forall @t14 @t228))) 0.44/0.71 (step @p241 :rule trans :premises (@p240 @p182)) 0.44/0.71 (step @p242 :rule trans :premises (@p241 @p181)) 0.44/0.71 (step @p243 :rule aci_norm :args ((= (or @t134 @t229) @t228))) 0.44/0.71 (step @p244 :rule bool-impl-elim :args (@t132 @t229)) 0.44/0.71 (step @p245 :rule trans :premises (@p244 @p243)) 0.44/0.71 (step @p246 :rule cong :premises (@p245) :args ((forall @t14 (=> @t132 @t229)))) 0.44/0.71 (step @p247 :rule trans :premises (@p246 @p242)) 0.44/0.71 (step @p248 :rule refl :args (@t25)) 0.44/0.71 (step @p249 :rule nary_cong :premises (@p132 @p248) :args ((or @t137 @t25))) 0.44/0.71 (step @p250 :rule bool-impl-elim :args (@t5 @t25)) 0.44/0.71 (step @p251 :rule trans :premises (@p250 @p249)) 0.44/0.71 (step @p252 :rule cong :premises (@p251) :args (@t26)) 0.44/0.71 (step @p253 :rule refl :args (@t27)) 0.44/0.71 (step @p254 :rule refl :args (@t28)) 0.44/0.71 (step @p255 :rule nary_cong :premises (@p254 @p68 @p253 @p252) :args (@t29)) 0.44/0.71 (step @p256 :rule refl :args (@t30)) 0.44/0.71 (step @p257 :rule nary_cong :premises (@p132 @p256) :args ((or @t137 @t30))) 0.44/0.71 (step @p258 :rule bool-impl-elim :args (@t5 @t30)) 0.44/0.71 (step @p259 :rule trans :premises (@p258 @p257)) 0.44/0.71 (step @p260 :rule cong :premises (@p259) :args (@t37)) 0.44/0.71 (step @p261 :rule refl :args (@t42)) 0.44/0.71 (step @p262 :rule nary_cong :premises (@p254 @p68 @p261 @p260) :args (@t59)) 0.44/0.71 (step @p263 :rule refl :args (@t12)) 0.44/0.71 (step @p264 :rule nary_cong :premises (@p132 @p263) :args ((or @t137 @t12))) 0.44/0.71 (step @p265 :rule bool-impl-elim :args (@t5 @t12)) 0.44/0.71 (step @p266 :rule trans :premises (@p265 @p264)) 0.44/0.71 (step @p267 :rule cong :premises (@p266) :args (@t13)) 0.44/0.71 (step @p268 :rule refl :args (@t10)) 0.44/0.71 (step @p269 :rule nary_cong :premises (@p132 @p268) :args ((or @t137 @t10))) 0.44/0.71 (step @p270 :rule bool-impl-elim :args (@t5 @t10)) 0.44/0.71 (step @p271 :rule trans :premises (@p270 @p269)) 0.44/0.71 (step @p272 :rule cong :premises (@p271) :args (@t11)) 0.44/0.71 (step @p273 :rule refl :args (@t9)) 0.44/0.71 (step @p274 :rule nary_cong :premises (@p273 @p68 @p272 @p267) :args (@t60)) 0.44/0.71 (step @p275 :rule nary_cong :premises (@p260 @p272) :args (@t43)) 0.44/0.71 (step @p276 :rule nary_cong :premises (@p275 @p68 @p252 @p174) :args (@t61)) 0.44/0.71 (step @p277 :rule nary_cong :premises (@p276 @p274 @p262 @p255) :args (@t62)) 0.44/0.71 (step @p278 :rule cong :premises (@p162 @p277) :args (@t63)) 0.44/0.71 (step @p279 :rule cong :premises (@p278) :args (@t64)) 0.44/0.71 (step @p280 :rule trans :premises (@p279 @p247)) 0.44/0.71 (step @p281 :rule eq_resolve :premises (@p23 @p280)) 0.44/0.71 (step @p282 :rule instantiate :premises (@p281) :args ((@list tptp.n0 @t232 @t234 @t143 @t230 tptp.n0 @t234 @t232 @t143 @t232 @t143 @t230))) 0.44/0.71 (step @p283 :rule and_elim :premises (@p84) :args (1)) 0.44/0.71 (step @p284 :rule cnf_and_pos :args (@t238 0)) 0.44/0.71 (step @p285 :rule reordering :premises (@p284) :args ((or @t92 (not @t238)))) 0.44/0.71 (step @p286 :rule chain_resolution :premises (@p285 @p283) :args (@t239 @t240)) 0.44/0.71 (step @p287 :rule cnf_and_pos :args (@t246 0)) 0.44/0.71 (step @p288 :rule reordering :premises (@p287) :args ((or @t92 (not @t246)))) 0.44/0.71 (step @p289 :rule chain_resolution :premises (@p288 @p283) :args (@t239 @t240)) 0.44/0.71 (step @p290 :rule aci_norm :args ((= @t252 (or @t250 @t249 @t248)))) 0.44/0.71 (step @p291 :rule cong :premises (@p290) :args (@t253)) 0.44/0.71 (step @p292 :rule quant-merge-prenex :args ((= (forall @t14 @t255) @t253))) 0.44/0.71 (step @p293 :rule alpha_equiv :args (@t256 (@list @t247) @t130)) 0.44/0.71 (step @p294 :rule refl :args (@t250)) 0.44/0.71 (step @p295 :rule nary_cong :premises (@p294 @p293) :args (@t257)) 0.44/0.71 (step @p296 :rule quant-miniscope-or :args ((= @t255 @t257))) 0.44/0.71 (step @p297 :rule trans :premises (@p296 @p295)) 0.44/0.71 (step @p298 :rule symm :premises (@p297)) 0.44/0.71 (step @p299 :rule cong :premises (@p298) :args ((forall @t14 (or @t250 @t258)))) 0.44/0.71 (step @p300 :rule trans :premises (@p299 @p292)) 0.44/0.71 (step @p301 :rule trans :premises (@p300 @p291)) 0.44/0.71 (step @p302 :rule refl :args (@t258)) 0.44/0.71 (step @p303 :rule bool-or-de-morgan :args (@t225 @t224 false)) 0.44/0.71 (step @p304 :rule nary_cong :premises (@p303 @p302) :args ((or (not @t259) @t258))) 0.44/0.71 (step @p305 :rule bool-impl-elim :args (@t259 @t258)) 0.44/0.71 (step @p306 :rule trans :premises (@p305 @p304)) 0.44/0.71 (step @p307 :rule cong :premises (@p306) :args ((forall @t14 (=> @t259 @t258)))) 0.44/0.71 (step @p308 :rule trans :premises (@p307 @p301)) 0.44/0.71 (step @p309 :rule refl :args (@t33)) 0.44/0.71 (step @p310 :rule nary_cong :premises (@p132 @p309) :args ((or @t137 @t33))) 0.44/0.71 (step @p311 :rule bool-impl-elim :args (@t5 @t33)) 0.44/0.71 (step @p312 :rule trans :premises (@p311 @p310)) 0.44/0.71 (step @p313 :rule cong :premises (@p312) :args (@t34)) 0.44/0.71 (step @p314 :rule nary_cong :premises (@p272 @p267) :args (@t70)) 0.44/0.71 (step @p315 :rule cong :premises (@p314 @p313) :args (@t71)) 0.44/0.71 (step @p316 :rule cong :premises (@p315) :args (@t72)) 0.44/0.71 (step @p317 :rule trans :premises (@p316 @p308)) 0.44/0.71 (step @p318 :rule eq_resolve :premises (@p30 @p317)) 0.44/0.71 (step @p319 :rule instantiate :premises (@p318) :args (@t260)) 0.44/0.71 (step @p320 :rule instantiate :premises (@p8) :args (@t261)) 0.44/0.71 (step @p321 :rule bool-impl-elim :args (@t45 @t44)) 0.44/0.71 (step @p322 :rule cong :premises (@p321) :args (@t46)) 0.44/0.71 (step @p323 :rule eq_resolve :premises (@p19 @p322)) 0.44/0.71 (step @p324 :rule instantiate :premises (@p323) :args (@t261)) 0.44/0.71 (step @p325 :rule instantiate :premises (@p39) :args (@t261)) 0.44/0.71 (step @p326 :rule cnf_or_pos :args (@t265)) 0.44/0.71 (step @p327 :rule reordering :premises (@p326) :args ((or @t262 @t264 (not @t265)))) 0.44/0.71 (step @p328 :rule chain_resolution :premises (@p327 @p85 @p325) :args (@t266 (@list @t94 @t265))) 0.44/0.71 (step @p329 :rule cnf_or_pos :args (@t269)) 0.44/0.71 (step @p330 :rule reordering :premises (@p329) :args ((or @t263 @t268 (not @t269)))) 0.44/0.71 (step @p331 :rule chain_resolution :premises (@p330 @p328 @p324) :args ((@list true false) (@list @t263 @t269))) 0.44/0.71 (step @p332 :rule cnf_or_pos :args (@t273)) 0.44/0.71 (step @p333 :rule reordering :premises (@p332) :args ((or @t267 @t270 @t272 (not @t273)))) 0.44/0.71 (step @p334 :rule chain_resolution :premises (@p333 @p331 @p320 @p319) :args (@t274 (@list @t267 @t270 @t273))) 0.44/0.71 (step @p335 :rule cnf_and_pos :args (@t272 0)) 0.44/0.71 (step @p336 :rule reordering :premises (@p335) :args ((or @t271 (not @t272)))) 0.44/0.71 (step @p337 :rule chain_resolution :premises (@p336 @p334) :args (@t119 (@list @t272))) 0.44/0.71 (step @p338 :rule skolemize :premises (@p337)) 0.44/0.71 (step @p339 :rule cnf_and_pos :args (@t278 2)) 0.44/0.71 (step @p340 :rule reordering :premises (@p339) :args ((or @t277 (not @t278)))) 0.44/0.71 (step @p341 :rule chain_resolution :premises (@p340 @p338) :args (@t239 @t279)) 0.44/0.71 (step @p342 :rule cnf_or_neg :args (@t277 1)) 0.44/0.71 (step @p343 :rule chain_resolution :premises (@p342 @p338) :args (@t239 @t279)) 0.44/0.71 (step @p344 :rule cnf_or_neg :args (@t277 0)) 0.44/0.71 (step @p345 :rule chain_resolution :premises (@p344 @p338) :args (@t239 @t279)) 0.44/0.71 (step @p346 :rule aci_norm :args ((= @t285 (or @t283 @t282 @t281)))) 0.44/0.71 (step @p347 :rule cong :premises (@p346) :args (@t286)) 0.44/0.71 (step @p348 :rule quant-merge-prenex :args ((= (forall @t14 @t288) @t286))) 0.44/0.71 (step @p349 :rule alpha_equiv :args (@t289 (@list @t280) @t130)) 0.44/0.71 (step @p350 :rule refl :args (@t283)) 0.44/0.71 (step @p351 :rule nary_cong :premises (@p350 @p349) :args (@t290)) 0.44/0.71 (step @p352 :rule quant-miniscope-or :args ((= @t288 @t290))) 0.44/0.71 (step @p353 :rule trans :premises (@p352 @p351)) 0.44/0.71 (step @p354 :rule symm :premises (@p353)) 0.44/0.71 (step @p355 :rule cong :premises (@p354) :args ((forall @t14 (or @t283 @t291)))) 0.44/0.71 (step @p356 :rule trans :premises (@p355 @p348)) 0.44/0.71 (step @p357 :rule trans :premises (@p356 @p347)) 0.44/0.71 (step @p358 :rule bool-impl-elim :args (@t222 @t291)) 0.44/0.71 (step @p359 :rule cong :premises (@p358) :args ((forall @t14 (=> @t222 @t291)))) 0.44/0.71 (step @p360 :rule trans :premises (@p359 @p357)) 0.44/0.71 (step @p361 :rule refl :args (@t38)) 0.44/0.71 (step @p362 :rule nary_cong :premises (@p132 @p361) :args ((or @t137 @t38))) 0.44/0.71 (step @p363 :rule bool-impl-elim :args (@t5 @t38)) 0.44/0.71 (step @p364 :rule trans :premises (@p363 @p362)) 0.44/0.71 (step @p365 :rule cong :premises (@p364) :args (@t39)) 0.44/0.71 (step @p366 :rule cong :premises (@p260 @p365) :args (@t47)) 0.44/0.71 (step @p367 :rule cong :premises (@p366) :args (@t48)) 0.44/0.71 (step @p368 :rule trans :premises (@p367 @p360)) 0.44/0.71 (step @p369 :rule eq_resolve :premises (@p20 @p368)) 0.44/0.71 (step @p370 :rule instantiate :premises (@p369) :args (@t260)) 0.44/0.71 (step @p371 :rule aci_norm :args ((= (or @t292 @t83) (or @t292 @t82 @t56 @t44)))) 0.44/0.71 (step @p372 :rule bool-impl-elim :args (@t68 @t83)) 0.44/0.71 (step @p373 :rule trans :premises (@p372 @p371)) 0.44/0.71 (step @p374 :rule cong :premises (@p373) :args (@t84)) 0.44/0.71 (step @p375 :rule eq_resolve :premises (@p35 @p374)) 0.44/0.71 (step @p376 :rule instantiate :premises (@p375) :args (@t261)) 0.44/0.71 (step @p377 :rule and_elim :premises (@p84) :args (2)) 0.44/0.71 (step @p378 :rule cnf_and_pos :args (@t293 1)) 0.44/0.71 (step @p379 :rule reordering :premises (@p378) :args ((or @t245 (not @t293)))) 0.44/0.71 (step @p380 :rule chain_resolution :premises (@p379 @p377) :args (@t119 (@list @t91))) 0.44/0.71 (step @p381 :rule instantiate :premises (@p25) :args (@t261)) 0.44/0.71 (step @p382 :rule cnf_or_pos :args (@t296)) 0.44/0.71 (step @p383 :rule reordering :premises (@p382) :args ((or @t262 @t295 (not @t296)))) 0.44/0.71 (step @p384 :rule chain_resolution :premises (@p383 @p85 @p381) :args (@t266 (@list @t94 @t296))) 0.44/0.71 (step @p385 :rule cnf_or_pos :args (@t299)) 0.44/0.71 (step @p386 :rule reordering :premises (@p385) :args ((or @t294 @t298 @t293 @t263 (not @t299)))) 0.44/0.71 (step @p387 :rule chain_resolution :premises (@p386 @p384 @p380 @p328 @p376) :args ((@list true true true false) (@list @t294 @t293 @t263 @t299))) 0.44/0.71 (step @p388 :rule cnf_or_pos :args (@t301)) 0.44/0.71 (step @p389 :rule reordering :premises (@p388) :args ((or @t297 @t270 @t300 (not @t301)))) 0.44/0.71 (step @p390 :rule chain_resolution :premises (@p389 @p387 @p320 @p370) :args (@t274 (@list @t297 @t270 @t301))) 0.44/0.71 (step @p391 :rule skolemize :premises (@p390)) 0.44/0.71 (step @p392 :rule bool-double-not-elim :args (@t241)) 0.44/0.71 (step @p393 :rule refl :args (@t244)) 0.44/0.71 (step @p394 :rule nary_cong :premises (@p393 @p392) :args ((or @t244 (not @t242)))) 0.44/0.71 (step @p395 :rule cnf_or_neg :args (@t244 1)) 0.44/0.71 (step @p396 :rule eq_resolve :premises (@p395 @p394)) 0.44/0.71 (step @p397 :rule reordering :premises (@p396) :args ((or @t241 @t244))) 0.44/0.71 (step @p398 :rule chain_resolution :premises (@p397 @p391) :args (@t239 @t302)) 0.44/0.71 (step @p399 :rule cnf_or_neg :args (@t244 0)) 0.44/0.71 (step @p400 :rule chain_resolution :premises (@p399 @p391) :args (@t239 @t302)) 0.44/0.71 (step @p401 :rule cnf_or_pos :args (@t303)) 0.44/0.71 (step @p402 :rule reordering :premises (@p401) :args ((or @t243 @t242 @t276 @t275 (not @t303)))) 0.44/0.71 (step @p403 :rule chain_resolution :premises (@p402 @p400 @p398 @p345 @p343) :args ((@list true false true true) (@list @t243 @t241 @t276 @t275))) 0.44/0.71 (step @p404 :rule cnf_and_pos :args (@t304 0)) 0.44/0.71 (step @p405 :rule reordering :premises (@p404) :args ((or @t303 (not @t304)))) 0.44/0.71 (step @p406 :rule chain_resolution :premises (@p405 @p403) :args (@t239 (@list @t303))) 0.44/0.71 (step @p407 :rule cnf_or_pos :args (@t306)) 0.44/0.71 (step @p408 :rule reordering :premises (@p407) :args ((or @t305 @t304 @t278 @t246 @t238 (not @t306)))) 0.44/0.71 (step @p409 :rule chain_resolution :premises (@p408 @p406 @p341 @p289 @p286 @p282) :args ((@list true true true true false) (@list @t304 @t278 @t246 @t238 @t306))) 0.44/0.71 (step @p410 :rule skolemize :premises (@p409)) 0.44/0.71 (step @p411 :rule cnf_or_neg :args (@t308 0)) 0.44/0.71 (step @p412 :rule chain_resolution :premises (@p411 @p410) :args (@t239 @t309)) 0.44/0.71 (step @p413 :rule cnf_or_neg :args (@t308 1)) 0.44/0.71 (step @p414 :rule chain_resolution :premises (@p413 @p410) :args (@t239 @t309)) 0.44/0.71 (step @p415 :rule cnf_or_pos :args (@t311)) 0.44/0.71 (step @p416 :rule reordering :premises (@p415) :args ((or @t262 @t310 @t236 @t307 (not @t311)))) 0.44/0.71 (step @p417 false :rule chain_resolution :premises (@p416 @p414 @p412 @p170 @p101 @p85) :args ((@list true true false false false) (@list @t307 @t236 @t311 @t113 @t94))) 0.44/0.71 ) 0.44/0.71 % SZS output end Proof 0.44/0.71 % cvc5 exiting 0.44/0.71 EOF