%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PRO009+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:43:43 AM UTC 2026 % Result : Theorem 5.00s 5.29s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : PRO009+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n013.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 13:08:00 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 5.00/5.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.00/5.29 % SZS status Theorem % 5.00/5.29 % SZS output start Proof % 5.00/5.29 ( % 5.00/5.29 (declare-sort $$unsorted 0) % 5.00/5.29 (declare-const tptp.tptp4 $$unsorted) % 5.00/5.29 (declare-const tptp.tptp2 $$unsorted) % 5.00/5.29 (declare-const tptp.tptp1 $$unsorted) % 5.00/5.29 (declare-const tptp.tptp0 $$unsorted) % 5.00/5.29 (declare-const tptp.tptp3 $$unsorted) % 5.00/5.29 (declare-const tptp.root_occ (-> $$unsorted $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.subactivity_occurrence (-> $$unsorted $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.activity_occurrence (-> $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.leaf_occ (-> $$unsorted $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.subactivity (-> $$unsorted $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.arboreal (-> $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.atocc (-> $$unsorted $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.next_subocc (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.activity (-> $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.min_precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.occurrence_of (-> $$unsorted $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.earlier (-> $$unsorted $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.atomic (-> $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.legal (-> $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.precedes (-> $$unsorted $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.root (-> $$unsorted $$unsorted Bool)) % 5.00/5.29 (declare-const tptp.leaf (-> $$unsorted $$unsorted Bool)) % 5.00/5.29 (define @t1 () (@var "X1" $$unsorted)) % 5.00/5.29 (define @t2 () (@var "X0" $$unsorted)) % 5.00/5.29 (define @t3 () (@var "X3" $$unsorted)) % 5.00/5.29 (define @t4 () (@var "X2" $$unsorted)) % 5.00/5.29 (define @t5 () (@var "X6" $$unsorted)) % 5.00/5.29 (define @t6 () (@var "X5" $$unsorted)) % 5.00/5.29 (define @t7 () (= @t6 @t5)) % 5.00/5.29 (define @t8 () (@var "X4" $$unsorted)) % 5.00/5.29 (define @t9 () (tptp.occurrence_of @t8 @t5)) % 5.00/5.29 (define @t10 () (tptp.occurrence_of @t8 @t6)) % 5.00/5.29 (define @t11 () (and @t10 @t9)) % 5.00/5.29 (define @t12 () (forall (@list @t8 @t6 @t5) (=> @t11 @t7))) % 5.00/5.29 (define @t13 () (@var "X7" $$unsorted)) % 5.00/5.29 (define @t14 () (@var "X8" $$unsorted)) % 5.00/5.29 (define @t15 () (@var "X9" $$unsorted)) % 5.00/5.29 (define @t16 () (not (tptp.earlier @t15 @t14))) % 5.00/5.29 (define @t17 () (tptp.earlier @t14 @t15)) % 5.00/5.29 (define @t18 () (forall (@list @t14 @t15) (=> @t17 @t16))) % 5.00/5.29 (define @t19 () (@var "X12" $$unsorted)) % 5.00/5.29 (define @t20 () (@var "X10" $$unsorted)) % 5.00/5.29 (define @t21 () (@var "X11" $$unsorted)) % 5.00/5.29 (define @t22 () (@var "X15" $$unsorted)) % 5.00/5.29 (define @t23 () (@var "X13" $$unsorted)) % 5.00/5.29 (define @t24 () (@var "X14" $$unsorted)) % 5.00/5.29 (define @t25 () (@var "X17" $$unsorted)) % 5.00/5.29 (define @t26 () (@var "X16" $$unsorted)) % 5.00/5.29 (define @t27 () (= (tptp.arboreal @t26) (tptp.atomic @t25))) % 5.00/5.29 (define @t28 () (tptp.occurrence_of @t26 @t25)) % 5.00/5.29 (define @t29 () (@list @t26 @t25)) % 5.00/5.29 (define @t30 () (forall @t29 (=> @t28 @t27))) % 5.00/5.29 (define @t31 () (@var "X18" $$unsorted)) % 5.00/5.29 (define @t32 () (tptp.arboreal @t31)) % 5.00/5.29 (define @t33 () (tptp.legal @t31)) % 5.00/5.29 (define @t34 () (@list @t31)) % 5.00/5.29 (define @t35 () (forall @t34 (=> @t33 @t32))) % 5.00/5.29 (define @t36 () (@var "X20" $$unsorted)) % 5.00/5.29 (define @t37 () (@var "X19" $$unsorted)) % 5.00/5.29 (define @t38 () (@var "X22" $$unsorted)) % 5.00/5.29 (define @t39 () (@var "X21" $$unsorted)) % 5.00/5.29 (define @t40 () (@var "X27" $$unsorted)) % 5.00/5.29 (define @t41 () (@var "X25" $$unsorted)) % 5.00/5.29 (define @t42 () (@var "X26" $$unsorted)) % 5.00/5.29 (define @t43 () (@var "X24" $$unsorted)) % 5.00/5.29 (define @t44 () (@var "X23" $$unsorted)) % 5.00/5.29 (define @t45 () (@var "X30" $$unsorted)) % 5.00/5.29 (define @t46 () (@var "X29" $$unsorted)) % 5.00/5.29 (define @t47 () (@var "X28" $$unsorted)) % 5.00/5.29 (define @t48 () (@var "X33" $$unsorted)) % 5.00/5.29 (define @t49 () (@var "X32" $$unsorted)) % 5.00/5.29 (define @t50 () (@var "X34" $$unsorted)) % 5.00/5.29 (define @t51 () (@var "X31" $$unsorted)) % 5.00/5.29 (define @t52 () (@var "X37" $$unsorted)) % 5.00/5.29 (define @t53 () (@var "X36" $$unsorted)) % 5.00/5.29 (define @t54 () (not (tptp.root @t53 @t52))) % 5.00/5.29 (define @t55 () (@var "X35" $$unsorted)) % 5.00/5.29 (define @t56 () (tptp.min_precedes @t55 @t53 @t52)) % 5.00/5.29 (define @t57 () (forall (@list @t55 @t53 @t52) (=> @t56 @t54))) % 5.00/5.29 (define @t58 () (@var "X39" $$unsorted)) % 5.00/5.29 (define @t59 () (@var "X38" $$unsorted)) % 5.00/5.29 (define @t60 () (tptp.precedes @t59 @t58)) % 5.00/5.29 (define @t61 () (@var "X40" $$unsorted)) % 5.00/5.29 (define @t62 () (tptp.min_precedes @t59 @t58 @t61)) % 5.00/5.29 (define @t63 () (forall (@list @t59 @t58 @t61) (=> @t62 @t60))) % 5.00/5.29 (define @t64 () (@var "X41" $$unsorted)) % 5.00/5.29 (define @t65 () (@var "X42" $$unsorted)) % 5.00/5.29 (define @t66 () (@var "X44" $$unsorted)) % 5.00/5.29 (define @t67 () (@var "X43" $$unsorted)) % 5.00/5.29 (define @t68 () (@var "X48" $$unsorted)) % 5.00/5.29 (define @t69 () (@var "X47" $$unsorted)) % 5.00/5.29 (define @t70 () (@var "X46" $$unsorted)) % 5.00/5.29 (define @t71 () (@var "X45" $$unsorted)) % 5.00/5.29 (define @t72 () (@var "X51" $$unsorted)) % 5.00/5.29 (define @t73 () (@var "X50" $$unsorted)) % 5.00/5.29 (define @t74 () (@var "X49" $$unsorted)) % 5.00/5.29 (define @t75 () (@var "X55" $$unsorted)) % 5.00/5.29 (define @t76 () (@var "X54" $$unsorted)) % 5.00/5.29 (define @t77 () (@var "X53" $$unsorted)) % 5.00/5.29 (define @t78 () (@var "X52" $$unsorted)) % 5.00/5.29 (define @t79 () (@var "X57" $$unsorted)) % 5.00/5.29 (define @t80 () (@var "X59" $$unsorted)) % 5.00/5.29 (define @t81 () (@var "X56" $$unsorted)) % 5.00/5.29 (define @t82 () (@var "X58" $$unsorted)) % 5.00/5.29 (define @t83 () (@var "X62" $$unsorted)) % 5.00/5.29 (define @t84 () (@var "X61" $$unsorted)) % 5.00/5.29 (define @t85 () (@var "X63" $$unsorted)) % 5.00/5.29 (define @t86 () (tptp.min_precedes @t85 @t84 @t83)) % 5.00/5.29 (define @t87 () (@var "X60" $$unsorted)) % 5.00/5.29 (define @t88 () (tptp.min_precedes @t87 @t85 @t83)) % 5.00/5.29 (define @t89 () (and @t88 @t86)) % 5.00/5.29 (define @t90 () (@list @t85)) % 5.00/5.29 (define @t91 () (exists @t90 @t89)) % 5.00/5.29 (define @t92 () (not @t91)) % 5.00/5.29 (define @t93 () (tptp.min_precedes @t87 @t84 @t83)) % 5.00/5.29 (define @t94 () (and @t93 @t92)) % 5.00/5.29 (define @t95 () (tptp.next_subocc @t87 @t84 @t83)) % 5.00/5.29 (define @t96 () (= @t95 @t94)) % 5.00/5.29 (define @t97 () (forall (@list @t87 @t84 @t83) @t96)) % 5.00/5.29 (define @t98 () (@var "X66" $$unsorted)) % 5.00/5.29 (define @t99 () (@var "X64" $$unsorted)) % 5.00/5.29 (define @t100 () (@var "X65" $$unsorted)) % 5.00/5.29 (define @t101 () (@var "X68" $$unsorted)) % 5.00/5.29 (define @t102 () (@var "X67" $$unsorted)) % 5.00/5.29 (define @t103 () (@var "X72" $$unsorted)) % 5.00/5.29 (define @t104 () (@var "X71" $$unsorted)) % 5.00/5.29 (define @t105 () (@var "X70" $$unsorted)) % 5.00/5.29 (define @t106 () (@var "X69" $$unsorted)) % 5.00/5.29 (define @t107 () (@var "X75" $$unsorted)) % 5.00/5.29 (define @t108 () (@var "X74" $$unsorted)) % 5.00/5.29 (define @t109 () (@var "X73" $$unsorted)) % 5.00/5.29 (define @t110 () (@var "X77" $$unsorted)) % 5.00/5.29 (define @t111 () (@var "X78" $$unsorted)) % 5.00/5.29 (define @t112 () (@var "X76" $$unsorted)) % 5.00/5.29 (define @t113 () (@var "X82" $$unsorted)) % 5.00/5.29 (define @t114 () (@var "X81" $$unsorted)) % 5.00/5.29 (define @t115 () (= @t114 @t113)) % 5.00/5.29 (define @t116 () (@var "X79" $$unsorted)) % 5.00/5.29 (define @t117 () (tptp.min_precedes @t113 @t114 @t116)) % 5.00/5.29 (define @t118 () (tptp.min_precedes @t114 @t113 @t116)) % 5.00/5.29 (define @t119 () (or @t118 @t117 @t115)) % 5.00/5.29 (define @t120 () (@var "X80" $$unsorted)) % 5.00/5.29 (define @t121 () (tptp.subactivity_occurrence @t113 @t120)) % 5.00/5.29 (define @t122 () (tptp.subactivity_occurrence @t114 @t120)) % 5.00/5.29 (define @t123 () (tptp.arboreal @t113)) % 5.00/5.29 (define @t124 () (tptp.arboreal @t114)) % 5.00/5.29 (define @t125 () (tptp.occurrence_of @t120 @t116)) % 5.00/5.29 (define @t126 () (and @t125 @t124 @t123 @t122 @t121)) % 5.00/5.29 (define @t127 () (@list @t116 @t120 @t114 @t113)) % 5.00/5.29 (define @t128 () (forall @t127 (=> @t126 @t119))) % 5.00/5.29 (define @t129 () (@var "X86" $$unsorted)) % 5.00/5.29 (define @t130 () (@var "X83" $$unsorted)) % 5.00/5.29 (define @t131 () (@var "X84" $$unsorted)) % 5.00/5.29 (define @t132 () (@var "X85" $$unsorted)) % 5.00/5.29 (define @t133 () (@var "X88" $$unsorted)) % 5.00/5.29 (define @t134 () (@var "X87" $$unsorted)) % 5.00/5.29 (define @t135 () (@var "X90" $$unsorted)) % 5.00/5.29 (define @t136 () (@var "X89" $$unsorted)) % 5.00/5.29 (define @t137 () (@var "X93" $$unsorted)) % 5.00/5.29 (define @t138 () (@var "X91" $$unsorted)) % 5.00/5.29 (define @t139 () (@var "X92" $$unsorted)) % 5.00/5.29 (define @t140 () (@var "X96" $$unsorted)) % 5.00/5.29 (define @t141 () (@var "X98" $$unsorted)) % 5.00/5.29 (define @t142 () (@var "X97" $$unsorted)) % 5.00/5.29 (define @t143 () (@var "X95" $$unsorted)) % 5.00/5.29 (define @t144 () (@var "X94" $$unsorted)) % 5.00/5.29 (define @t145 () (@var "X101" $$unsorted)) % 5.00/5.29 (define @t146 () (@var "X99" $$unsorted)) % 5.00/5.29 (define @t147 () (tptp.root @t146 @t145)) % 5.00/5.29 (define @t148 () (@var "X100" $$unsorted)) % 5.00/5.29 (define @t149 () (tptp.subactivity_occurrence @t146 @t148)) % 5.00/5.29 (define @t150 () (tptp.occurrence_of @t148 @t145)) % 5.00/5.29 (define @t151 () (and @t150 @t149 @t147)) % 5.00/5.29 (define @t152 () (@list @t145)) % 5.00/5.29 (define @t153 () (exists @t152 @t151)) % 5.00/5.29 (define @t154 () (tptp.root_occ @t146 @t148)) % 5.00/5.29 (define @t155 () (= @t154 @t153)) % 5.00/5.29 (define @t156 () (@list @t146 @t148)) % 5.00/5.29 (define @t157 () (forall @t156 @t155)) % 5.00/5.29 (define @t158 () (@var "X104" $$unsorted)) % 5.00/5.29 (define @t159 () (@var "X102" $$unsorted)) % 5.00/5.29 (define @t160 () (tptp.leaf @t159 @t158)) % 5.00/5.29 (define @t161 () (@var "X103" $$unsorted)) % 5.00/5.29 (define @t162 () (tptp.subactivity_occurrence @t159 @t161)) % 5.00/5.29 (define @t163 () (tptp.occurrence_of @t161 @t158)) % 5.00/5.29 (define @t164 () (and @t163 @t162 @t160)) % 5.00/5.29 (define @t165 () (@list @t158)) % 5.00/5.29 (define @t166 () (exists @t165 @t164)) % 5.00/5.29 (define @t167 () (tptp.leaf_occ @t159 @t161)) % 5.00/5.29 (define @t168 () (= @t167 @t166)) % 5.00/5.29 (define @t169 () (@list @t159 @t161)) % 5.00/5.29 (define @t170 () (forall @t169 @t168)) % 5.00/5.29 (define @t171 () (@var "X105" $$unsorted)) % 5.00/5.29 (define @t172 () (@var "X108" $$unsorted)) % 5.00/5.29 (define @t173 () (tptp.leaf_occ @t172 @t171)) % 5.00/5.29 (define @t174 () (@var "X107" $$unsorted)) % 5.00/5.29 (define @t175 () (tptp.next_subocc @t174 @t172 tptp.tptp0)) % 5.00/5.29 (define @t176 () (tptp.occurrence_of @t172 tptp.tptp1)) % 5.00/5.29 (define @t177 () (tptp.occurrence_of @t172 tptp.tptp2)) % 5.00/5.29 (define @t178 () (or @t177 @t176)) % 5.00/5.29 (define @t179 () (@var "X106" $$unsorted)) % 5.00/5.29 (define @t180 () (tptp.next_subocc @t179 @t174 tptp.tptp0)) % 5.00/5.29 (define @t181 () (tptp.occurrence_of @t174 tptp.tptp4)) % 5.00/5.29 (define @t182 () (tptp.root_occ @t179 @t171)) % 5.00/5.29 (define @t183 () (tptp.occurrence_of @t179 tptp.tptp3)) % 5.00/5.29 (define @t184 () (and @t183 @t182 @t181 @t180 @t178 @t175 @t173)) % 5.00/5.29 (define @t185 () (@list @t179 @t174 @t172)) % 5.00/5.29 (define @t186 () (exists @t185 @t184)) % 5.00/5.29 (define @t187 () (tptp.occurrence_of @t171 tptp.tptp0)) % 5.00/5.29 (define @t188 () (=> @t187 @t186)) % 5.00/5.29 (define @t189 () (@list @t171)) % 5.00/5.29 (define @t190 () (forall @t189 @t188)) % 5.00/5.29 (define @t191 () (tptp.atomic tptp.tptp3)) % 5.00/5.29 (define @t192 () (@var "X109" $$unsorted)) % 5.00/5.29 (define @t193 () (@var "X111" $$unsorted)) % 5.00/5.29 (define @t194 () (tptp.leaf_occ @t193 @t192)) % 5.00/5.29 (define @t195 () (@var "X110" $$unsorted)) % 5.00/5.29 (define @t196 () (tptp.min_precedes @t195 @t193 tptp.tptp0)) % 5.00/5.29 (define @t197 () (tptp.occurrence_of @t193 tptp.tptp1)) % 5.00/5.29 (define @t198 () (tptp.occurrence_of @t193 tptp.tptp2)) % 5.00/5.29 (define @t199 () (or @t198 @t197)) % 5.00/5.29 (define @t200 () (tptp.root_occ @t195 @t192)) % 5.00/5.29 (define @t201 () (tptp.occurrence_of @t195 tptp.tptp3)) % 5.00/5.29 (define @t202 () (and @t201 @t200 @t199 @t196 @t194)) % 5.00/5.29 (define @t203 () (@list @t195 @t193)) % 5.00/5.29 (define @t204 () (exists @t203 @t202)) % 5.00/5.29 (define @t205 () (tptp.occurrence_of @t192 tptp.tptp0)) % 5.00/5.29 (define @t206 () (=> @t205 @t204)) % 5.00/5.29 (define @t207 () (@list @t192)) % 5.00/5.29 (define @t208 () (forall @t207 @t206)) % 5.00/5.29 (define @t209 () (not @t208)) % 5.00/5.29 (define @t210 () (not @t194)) % 5.00/5.29 (define @t211 () (not @t196)) % 5.00/5.29 (define @t212 () (and (not @t198) (not @t197))) % 5.00/5.29 (define @t213 () (not @t200)) % 5.00/5.29 (define @t214 () (not @t201)) % 5.00/5.29 (define @t215 () (not (forall @t203 (or @t214 @t213 @t212 @t211 @t210)))) % 5.00/5.29 (define @t216 () (@quantifiers_skolemize (forall @t207 (or (not @t205) @t215)) 0)) % 5.00/5.29 (define @t217 () (not @t175)) % 5.00/5.29 (define @t218 () (and (not @t177) (not @t176))) % 5.00/5.29 (define @t219 () (not @t180)) % 5.00/5.29 (define @t220 () (not @t181)) % 5.00/5.29 (define @t221 () (not @t183)) % 5.00/5.29 (define @t222 () (forall @t185 (or @t221 (not (tptp.root_occ @t179 @t216)) @t220 @t219 @t218 @t217 (not (tptp.leaf_occ @t172 @t216))))) % 5.00/5.29 (define @t223 () (@quantifiers_skolemize @t222 2)) % 5.00/5.29 (define @t224 () (@quantifiers_skolemize @t222 1)) % 5.00/5.29 (define @t225 () (@list @t224 @t223 tptp.tptp0)) % 5.00/5.29 (define @t226 () (forall @t90 (not @t89))) % 5.00/5.29 (define @t227 () (not @t226)) % 5.00/5.29 (define @t228 () (not @t173)) % 5.00/5.29 (define @t229 () (not @t182)) % 5.00/5.29 (define @t230 () (not (forall @t185 (or @t221 @t229 @t220 @t219 @t218 @t217 @t228)))) % 5.00/5.29 (define @t231 () (not @t178)) % 5.00/5.29 (define @t232 () (or @t221 @t229 @t220 @t219 @t231 @t217 @t228)) % 5.00/5.29 (define @t233 () (forall @t185 (not @t184))) % 5.00/5.29 (define @t234 () (not @t233)) % 5.00/5.29 (define @t235 () (not @t199)) % 5.00/5.29 (define @t236 () (or @t214 @t213 @t235 @t211 @t210)) % 5.00/5.29 (define @t237 () (forall @t203 (not @t202))) % 5.00/5.29 (define @t238 () (not @t237)) % 5.00/5.29 (define @t239 () (tptp.occurrence_of @t216 tptp.tptp0)) % 5.00/5.29 (define @t240 () (forall @t203 (or @t214 (not (tptp.root_occ @t195 @t216)) @t212 @t211 (not (tptp.leaf_occ @t193 @t216))))) % 5.00/5.29 (define @t241 () (not @t240)) % 5.00/5.29 (define @t242 () (not @t239)) % 5.00/5.29 (define @t243 () (or @t242 @t241)) % 5.00/5.29 (define @t244 () (@list true)) % 5.00/5.29 (define @t245 () (@list @t243)) % 5.00/5.29 (define @t246 () (not @t222)) % 5.00/5.29 (define @t247 () (or @t242 @t246)) % 5.00/5.29 (define @t248 () (@list false false)) % 5.00/5.29 (define @t249 () (tptp.next_subocc @t224 @t223 tptp.tptp0)) % 5.00/5.29 (define @t250 () (tptp.leaf_occ @t223 @t216)) % 5.00/5.29 (define @t251 () (not @t250)) % 5.00/5.29 (define @t252 () (not @t249)) % 5.00/5.29 (define @t253 () (and (not (tptp.occurrence_of @t223 tptp.tptp2)) (not (tptp.occurrence_of @t223 tptp.tptp1)))) % 5.00/5.29 (define @t254 () (@quantifiers_skolemize @t222 0)) % 5.00/5.29 (define @t255 () (tptp.next_subocc @t254 @t224 tptp.tptp0)) % 5.00/5.29 (define @t256 () (not @t255)) % 5.00/5.29 (define @t257 () (tptp.root_occ @t254 @t216)) % 5.00/5.29 (define @t258 () (not @t257)) % 5.00/5.29 (define @t259 () (tptp.occurrence_of @t254 tptp.tptp3)) % 5.00/5.29 (define @t260 () (not @t259)) % 5.00/5.29 (define @t261 () (or @t260 @t258 (not (tptp.occurrence_of @t224 tptp.tptp4)) @t256 @t253 @t252 @t251)) % 5.00/5.29 (define @t262 () (@list @t261)) % 5.00/5.29 (define @t263 () (tptp.min_precedes @t224 @t223 tptp.tptp0)) % 5.00/5.29 (define @t264 () (and @t263 (forall @t90 (or (not (tptp.min_precedes @t224 @t85 tptp.tptp0)) (not (tptp.min_precedes @t85 @t223 tptp.tptp0)))))) % 5.00/5.29 (define @t265 () (= @t249 @t264)) % 5.00/5.29 (define @t266 () (@list false)) % 5.00/5.29 (define @t267 () (tptp.precedes @t224 @t223)) % 5.00/5.29 (define @t268 () (not @t263)) % 5.00/5.29 (define @t269 () (or @t268 @t267)) % 5.00/5.29 (define @t270 () (tptp.legal @t223)) % 5.00/5.29 (define @t271 () (tptp.earlier @t224 @t223)) % 5.00/5.29 (define @t272 () (and @t271 @t270)) % 5.00/5.29 (define @t273 () (= @t267 @t272)) % 5.00/5.29 (define @t274 () (not @t272)) % 5.00/5.29 (define @t275 () (@list @t272)) % 5.00/5.29 (define @t276 () (not @t121)) % 5.00/5.29 (define @t277 () (not @t122)) % 5.00/5.29 (define @t278 () (not @t123)) % 5.00/5.29 (define @t279 () (not @t124)) % 5.00/5.29 (define @t280 () (not @t125)) % 5.00/5.29 (define @t281 () (or @t280 @t279 @t278 @t277 @t276 @t118 @t117 @t115)) % 5.00/5.29 (define @t282 () (or @t280 @t279 @t278 @t277 @t276)) % 5.00/5.29 (define @t283 () (tptp.min_precedes @t254 @t223 tptp.tptp0)) % 5.00/5.29 (define @t284 () (tptp.min_precedes @t223 @t254 tptp.tptp0)) % 5.00/5.29 (define @t285 () (tptp.subactivity_occurrence @t254 @t216)) % 5.00/5.29 (define @t286 () (not @t285)) % 5.00/5.29 (define @t287 () (tptp.subactivity_occurrence @t223 @t216)) % 5.00/5.29 (define @t288 () (not @t287)) % 5.00/5.29 (define @t289 () (tptp.arboreal @t254)) % 5.00/5.29 (define @t290 () (not @t289)) % 5.00/5.29 (define @t291 () (tptp.arboreal @t223)) % 5.00/5.29 (define @t292 () (not @t291)) % 5.00/5.29 (define @t293 () (or @t242 @t292 @t290 @t288 @t286 @t284 @t283 (= @t223 @t254))) % 5.00/5.29 (define @t294 () (forall @t127 @t281)) % 5.00/5.29 (define @t295 () (= @t254 @t223)) % 5.00/5.29 (define @t296 () (or @t242 @t292 @t290 @t288 @t286 @t284 @t283 @t295)) % 5.00/5.29 (define @t297 () (@list @t254 @t224)) % 5.00/5.29 (define @t298 () (@list @t254 @t224 tptp.tptp0)) % 5.00/5.29 (define @t299 () (tptp.min_precedes @t254 @t224 tptp.tptp0)) % 5.00/5.29 (define @t300 () (and @t299 (forall @t90 (or (not (tptp.min_precedes @t254 @t85 tptp.tptp0)) (not (tptp.min_precedes @t85 @t224 tptp.tptp0)))))) % 5.00/5.29 (define @t301 () (= @t255 @t300)) % 5.00/5.29 (define @t302 () (tptp.precedes @t254 @t224)) % 5.00/5.29 (define @t303 () (not @t299)) % 5.00/5.29 (define @t304 () (or @t303 @t302)) % 5.00/5.29 (define @t305 () (tptp.earlier @t254 @t224)) % 5.00/5.29 (define @t306 () (and @t305 (tptp.legal @t224))) % 5.00/5.29 (define @t307 () (= @t302 @t306)) % 5.00/5.29 (define @t308 () (tptp.earlier @t224 @t254)) % 5.00/5.29 (define @t309 () (not @t308)) % 5.00/5.29 (define @t310 () (not @t305)) % 5.00/5.29 (define @t311 () (or @t310 @t309)) % 5.00/5.29 (define @t312 () (not @t271)) % 5.00/5.29 (define @t313 () (not @t295)) % 5.00/5.29 (define @t314 () (and @t309 @t295 @t271)) % 5.00/5.29 (define @t315 () (not @t283)) % 5.00/5.29 (define @t316 () (or @t260 @t258 @t253 @t315 @t251)) % 5.00/5.29 (define @t317 () (not @t147)) % 5.00/5.29 (define @t318 () (not @t150)) % 5.00/5.29 (define @t319 () (or @t318 @t317)) % 5.00/5.29 (define @t320 () (forall @t152 @t319)) % 5.00/5.29 (define @t321 () (not @t320)) % 5.00/5.29 (define @t322 () (not @t149)) % 5.00/5.29 (define @t323 () (or @t322 @t320)) % 5.00/5.29 (define @t324 () (= @t154 (not @t323))) % 5.00/5.29 (define @t325 () (or @t322 @t319)) % 5.00/5.29 (define @t326 () (or @t318 @t322 @t317)) % 5.00/5.29 (define @t327 () (forall @t152 (not @t151))) % 5.00/5.29 (define @t328 () (not @t327)) % 5.00/5.29 (define @t329 () (forall @t152 (or (not (tptp.occurrence_of @t216 @t145)) (not (tptp.root @t254 @t145))))) % 5.00/5.29 (define @t330 () (not @t329)) % 5.00/5.29 (define @t331 () (and @t285 @t330)) % 5.00/5.29 (define @t332 () (= @t257 @t331)) % 5.00/5.29 (define @t333 () (not @t331)) % 5.00/5.29 (define @t334 () (@list @t331)) % 5.00/5.29 (define @t335 () (@quantifiers_skolemize @t329 0)) % 5.00/5.29 (define @t336 () (tptp.root @t254 @t335)) % 5.00/5.29 (define @t337 () (not @t336)) % 5.00/5.29 (define @t338 () (tptp.occurrence_of @t216 @t335)) % 5.00/5.29 (define @t339 () (not @t338)) % 5.00/5.29 (define @t340 () (or @t339 @t337)) % 5.00/5.29 (define @t341 () (@list @t340)) % 5.00/5.29 (define @t342 () (not @t9)) % 5.00/5.29 (define @t343 () (not @t10)) % 5.00/5.29 (define @t344 () (= tptp.tptp0 @t335)) % 5.00/5.29 (define @t345 () (or @t242 @t339 @t344)) % 5.00/5.29 (define @t346 () (tptp.root @t254 tptp.tptp0)) % 5.00/5.29 (define @t347 () (not @t346)) % 5.00/5.29 (define @t348 () (not @t284)) % 5.00/5.29 (define @t349 () (or @t348 @t347)) % 5.00/5.29 (define @t350 () (not @t160)) % 5.00/5.29 (define @t351 () (not @t163)) % 5.00/5.29 (define @t352 () (or @t351 @t350)) % 5.00/5.29 (define @t353 () (forall @t165 @t352)) % 5.00/5.29 (define @t354 () (not @t353)) % 5.00/5.29 (define @t355 () (not @t162)) % 5.00/5.29 (define @t356 () (or @t355 @t353)) % 5.00/5.29 (define @t357 () (= @t167 (not @t356))) % 5.00/5.29 (define @t358 () (or @t355 @t352)) % 5.00/5.29 (define @t359 () (or @t351 @t355 @t350)) % 5.00/5.29 (define @t360 () (forall @t165 (not @t164))) % 5.00/5.29 (define @t361 () (not @t360)) % 5.00/5.29 (define @t362 () (and @t287 (not (forall @t165 (or (not (tptp.occurrence_of @t216 @t158)) (not (tptp.leaf @t223 @t158))))))) % 5.00/5.29 (define @t363 () (= @t250 @t362)) % 5.00/5.29 (define @t364 () (or @t260 (= @t289 @t191))) % 5.00/5.29 (define @t365 () (forall @t29 (or (not @t28) @t27))) % 5.00/5.29 (define @t366 () (= @t191 @t289)) % 5.00/5.29 (define @t367 () (or @t260 @t366)) % 5.00/5.29 (define @t368 () (not @t270)) % 5.00/5.29 (define @t369 () (or @t368 @t291)) % 5.00/5.29 (define @t370 () (not @t369)) % 5.00/5.29 (define @t371 () (@list true false)) % 5.00/5.29 (define @t372 () (forall @t34 (or (not @t33) @t32))) % 5.00/5.29 (assume @p1 (forall (@list @t2 @t1) (=> (tptp.occurrence_of @t1 @t2) (and (tptp.activity @t2) (tptp.activity_occurrence @t1))))) % 5.00/5.29 (assume @p2 (forall (@list @t4) (=> (tptp.activity_occurrence @t4) (exists (@list @t3) (and (tptp.activity @t3) (tptp.occurrence_of @t4 @t3)))))) % 5.00/5.29 (assume @p3 @t12) % 5.00/5.29 (assume @p4 (forall (@list @t13) (=> (tptp.activity @t13) (tptp.subactivity @t13 @t13)))) % 5.00/5.29 (assume @p5 @t18) % 5.00/5.29 (assume @p6 (forall (@list @t20 @t21 @t19) (=> (and (tptp.earlier @t20 @t21) (tptp.earlier @t21 @t19)) (tptp.earlier @t20 @t19)))) % 5.00/5.29 (assume @p7 (forall (@list @t23 @t24 @t22) (=> (and (tptp.earlier @t23 @t24) (tptp.earlier @t22 @t24)) (or (tptp.earlier @t22 @t23) (tptp.earlier @t23 @t22) (= @t23 @t22))))) % 5.00/5.29 (assume @p8 @t30) % 5.00/5.29 (assume @p9 @t35) % 5.00/5.29 (assume @p10 (forall (@list @t37 @t36) (=> (and (tptp.legal @t37) (tptp.earlier @t36 @t37)) (tptp.legal @t36)))) % 5.00/5.29 (assume @p11 (forall (@list @t39 @t38) (= (tptp.precedes @t39 @t38) (and (tptp.earlier @t39 @t38) (tptp.legal @t38))))) % 5.00/5.29 (assume @p12 (forall (@list @t44 @t43 @t41) (=> (tptp.min_precedes @t43 @t41 @t44) (exists (@list @t42 @t40) (and (tptp.subactivity @t42 @t44) (tptp.subactivity @t40 @t44) (tptp.atocc @t43 @t42) (tptp.atocc @t41 @t40)))))) % 5.00/5.29 (assume @p13 (forall (@list @t47 @t46) (=> (tptp.root @t46 @t47) (exists (@list @t45) (and (tptp.subactivity @t45 @t47) (tptp.atocc @t46 @t45)))))) % 5.00/5.29 (assume @p14 (forall (@list @t51 @t49 @t48) (=> (tptp.min_precedes @t51 @t49 @t48) (exists (@list @t50) (and (tptp.root @t50 @t48) (tptp.min_precedes @t50 @t49 @t48)))))) % 5.00/5.29 (assume @p15 @t57) % 5.00/5.29 (assume @p16 @t63) % 5.00/5.29 (assume @p17 (forall (@list @t64 @t65) (=> (tptp.root @t64 @t65) (tptp.legal @t64)))) % 5.00/5.29 (assume @p18 (forall (@list @t67 @t66) (=> (and (tptp.atocc @t67 @t66) (tptp.legal @t67)) (tptp.root @t67 @t66)))) % 5.00/5.29 (assume @p19 (forall (@list @t71 @t70 @t69 @t68) (=> (and (tptp.min_precedes @t71 @t70 @t68) (tptp.min_precedes @t71 @t69 @t68) (tptp.precedes @t70 @t69)) (tptp.min_precedes @t70 @t69 @t68)))) % 5.00/5.29 (assume @p20 (forall (@list @t74 @t73 @t72) (=> (tptp.min_precedes @t74 @t73 @t72) (not (tptp.atomic @t72))))) % 5.00/5.29 (assume @p21 (forall (@list @t78 @t77 @t76 @t75) (=> (and (tptp.min_precedes @t77 @t78 @t75) (tptp.min_precedes @t76 @t78 @t75) (tptp.precedes @t77 @t76)) (tptp.min_precedes @t77 @t76 @t75)))) % 5.00/5.29 (assume @p22 (forall (@list @t81 @t79) (= (tptp.leaf @t81 @t79) (and (or (tptp.root @t81 @t79) (exists (@list @t82) (tptp.min_precedes @t82 @t81 @t79))) (not (exists (@list @t80) (tptp.min_precedes @t81 @t80 @t79))))))) % 5.00/5.29 (assume @p23 @t97) % 5.00/5.29 (assume @p24 (forall (@list @t99 @t100) (= (tptp.atocc @t99 @t100) (exists (@list @t98) (and (tptp.subactivity @t100 @t98) (tptp.atomic @t98) (tptp.occurrence_of @t99 @t98)))))) % 5.00/5.29 (assume @p25 (forall (@list @t102 @t101) (=> (tptp.subactivity_occurrence @t102 @t101) (and (tptp.activity_occurrence @t102) (tptp.activity_occurrence @t101))))) % 5.00/5.29 (assume @p26 (forall (@list @t106 @t105 @t104) (=> (tptp.min_precedes @t105 @t104 @t106) (exists (@list @t103) (and (tptp.occurrence_of @t103 @t106) (tptp.subactivity_occurrence @t105 @t103) (tptp.subactivity_occurrence @t104 @t103)))))) % 5.00/5.29 (assume @p27 (forall (@list @t109 @t108) (=> (and (tptp.root @t108 @t109) (not (tptp.atomic @t109))) (exists (@list @t107) (and (tptp.occurrence_of @t107 @t109) (tptp.subactivity_occurrence @t108 @t107)))))) % 5.00/5.29 (assume @p28 (forall (@list @t112 @t110) (=> (and (tptp.occurrence_of @t110 @t112) (not (tptp.atomic @t112))) (exists (@list @t111) (and (tptp.root @t111 @t112) (tptp.subactivity_occurrence @t111 @t110)))))) % 5.00/5.29 (assume @p29 @t128) % 5.00/5.29 (assume @p30 (forall (@list @t130 @t131 @t132 @t129) (=> (and (tptp.min_precedes @t130 @t131 @t132) (tptp.occurrence_of @t129 @t132) (tptp.subactivity_occurrence @t131 @t129)) (tptp.subactivity_occurrence @t130 @t129)))) % 5.00/5.29 (assume @p31 (forall (@list @t134 @t133 @t136 @t135) (=> (and (tptp.occurrence_of @t136 @t134) (tptp.occurrence_of @t135 @t133) (not (tptp.atomic @t134)) (tptp.subactivity_occurrence @t136 @t135)) (tptp.subactivity @t134 @t133)))) % 5.00/5.29 (assume @p32 (forall (@list @t138 @t139 @t137) (=> (and (tptp.subactivity_occurrence @t138 @t139) (tptp.subactivity_occurrence @t139 @t137)) (tptp.subactivity_occurrence @t138 @t137)))) % 5.00/5.29 (assume @p33 (forall (@list @t144 @t143 @t140 @t142) (=> (and (tptp.occurrence_of @t140 @t144) (tptp.occurrence_of @t142 @t143) (tptp.subactivity @t144 @t143) (not (tptp.subactivity_occurrence @t140 @t142))) (exists (@list @t141) (and (tptp.subactivity_occurrence @t141 @t142) (not (tptp.subactivity_occurrence @t141 @t140))))))) % 5.00/5.29 (assume @p34 @t157) % 5.00/5.29 (assume @p35 @t170) % 5.00/5.29 (assume @p36 @t190) % 5.00/5.29 (assume @p37 (tptp.activity tptp.tptp0)) % 5.00/5.29 (assume @p38 (not (tptp.atomic tptp.tptp0))) % 5.00/5.29 (assume @p39 (tptp.atomic tptp.tptp4)) % 5.00/5.29 (assume @p40 (tptp.atomic tptp.tptp2)) % 5.00/5.29 (assume @p41 (tptp.atomic tptp.tptp1)) % 5.00/5.29 (assume @p42 @t191) % 5.00/5.29 (assume @p43 (not (= tptp.tptp4 tptp.tptp3))) % 5.00/5.29 (assume @p44 (not (= tptp.tptp4 tptp.tptp2))) % 5.00/5.29 (assume @p45 (not (= tptp.tptp4 tptp.tptp1))) % 5.00/5.29 (assume @p46 (not (= tptp.tptp3 tptp.tptp2))) % 5.00/5.29 (assume @p47 (not (= tptp.tptp3 tptp.tptp1))) % 5.00/5.29 (assume @p48 (not (= tptp.tptp2 tptp.tptp1))) % 5.00/5.29 (assume @p49 @t209) % 5.00/5.29 (assume @p50 true) % 5.00/5.29 (step @p51 :rule bool-impl-elim :args (@t33 @t32)) % 5.00/5.29 (step @p52 :rule cong :premises (@p51) :args (@t35)) % 5.00/5.29 (step @p53 :rule eq_resolve :premises (@p9 @p52)) % 5.00/5.29 (step @p54 :rule instantiate :premises (@p11) :args ((@list @t224 @t223))) % 5.00/5.29 (step @p55 :rule bool-impl-elim :args (@t62 @t60)) % 5.00/5.29 (step @p56 :rule cong :premises (@p55) :args (@t63)) % 5.00/5.29 (step @p57 :rule eq_resolve :premises (@p16 @p56)) % 5.00/5.29 (step @p58 :rule instantiate :premises (@p57) :args (@t225)) % 5.00/5.29 (step @p59 :rule bool-double-not-elim :args ((forall @t90 (or (not @t88) (not @t86))))) % 5.00/5.29 (step @p60 :rule bool-and-de-morgan :args (@t88 @t86 true)) % 5.00/5.29 (step @p61 :rule cong :premises (@p60) :args (@t226)) % 5.00/5.29 (step @p62 :rule cong :premises (@p61) :args (@t227)) % 5.00/5.29 (step @p63 :rule exists-elim :args ((= @t91 @t227))) % 5.00/5.29 (step @p64 :rule trans :premises (@p63 @p62)) % 5.00/5.29 (step @p65 :rule cong :premises (@p64) :args (@t92)) % 5.00/5.29 (step @p66 :rule trans :premises (@p65 @p59)) % 5.00/5.29 (step @p67 :rule refl :args (@t93)) % 5.00/5.29 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t94)) % 5.00/5.29 (step @p69 :rule refl :args (@t95)) % 5.00/5.29 (step @p70 :rule cong :premises (@p69 @p68) :args (@t96)) % 5.00/5.29 (step @p71 :rule cong :premises (@p70) :args (@t97)) % 5.00/5.29 (step @p72 :rule eq_resolve :premises (@p23 @p71)) % 5.00/5.29 (step @p73 :rule instantiate :premises (@p72) :args (@t225)) % 5.00/5.29 (step @p74 :rule bool-impl-elim :args (@t187 @t230)) % 5.00/5.29 (step @p75 :rule cong :premises (@p74) :args ((forall @t189 (=> @t187 @t230)))) % 5.00/5.29 (step @p76 :rule refl :args (@t228)) % 5.00/5.29 (step @p77 :rule refl :args (@t217)) % 5.00/5.29 (step @p78 :rule bool-or-de-morgan :args (@t177 @t176 false)) % 5.00/5.29 (step @p79 :rule refl :args (@t219)) % 5.00/5.29 (step @p80 :rule refl :args (@t220)) % 5.00/5.29 (step @p81 :rule refl :args (@t229)) % 5.00/5.29 (step @p82 :rule refl :args (@t221)) % 5.00/5.29 (step @p83 :rule nary_cong :premises (@p82 @p81 @p80 @p79 @p78 @p77 @p76) :args (@t232)) % 5.00/5.29 (step @p84 :rule aci_norm :args ((= (or @t221 (or @t229 (or @t220 (or @t219 (or @t231 (or @t217 @t228)))))) @t232))) % 5.00/5.29 (step @p85 :rule bool-and-de-morgan :args (@t175 @t173 true)) % 5.00/5.29 (step @p86 :rule refl :args (@t231)) % 5.00/5.29 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t231 (not (and @t175 @t173))))) % 5.00/5.29 (step @p88 :rule bool-and-de-morgan :args (@t178 @t175 (and @t173))) % 5.00/5.29 (step @p89 :rule trans :premises (@p88 @p87)) % 5.00/5.29 (step @p90 :rule nary_cong :premises (@p79 @p89) :args ((or @t219 (not (and @t178 @t175 @t173))))) % 5.00/5.29 (step @p91 :rule bool-and-de-morgan :args (@t180 @t178 (and @t175 @t173))) % 5.00/5.29 (step @p92 :rule trans :premises (@p91 @p90)) % 5.00/5.29 (step @p93 :rule nary_cong :premises (@p80 @p92) :args ((or @t220 (not (and @t180 @t178 @t175 @t173))))) % 5.00/5.29 (step @p94 :rule bool-and-de-morgan :args (@t181 @t180 (and @t178 @t175 @t173))) % 5.00/5.29 (step @p95 :rule trans :premises (@p94 @p93)) % 5.00/5.29 (step @p96 :rule nary_cong :premises (@p81 @p95) :args ((or @t229 (not (and @t181 @t180 @t178 @t175 @t173))))) % 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(@t261 0)) % 5.00/5.29 (step @p312 :rule eq_resolve :premises (@p311 @p310)) % 5.00/5.29 (step @p313 :rule reordering :premises (@p312) :args ((or @t259 @t261))) % 5.00/5.29 (step @p314 :rule chain_m_resolution :premises (@p313 @p157) :args (@t259 @t244 @t262)) % 5.00/5.29 (step @p315 :rule cnf_or_pos :args (@t316)) % 5.00/5.29 (step @p316 :rule reordering :premises (@p315) :args ((or @t260 @t258 @t253 @t251 @t315 (not @t316)))) % 5.00/5.29 (step @p317 :rule chain_m_resolution :premises (@p316 @p314 @p308 @p302 @p300 @p294) :args (@t315 (@list false false true false false) (@list @t259 @t257 @t253 @t250 @t316))) % 5.00/5.29 (step @p318 :rule bool-impl-elim :args (@t56 @t54)) % 5.00/5.29 (step @p319 :rule cong :premises (@p318) :args (@t57)) % 5.00/5.29 (step @p320 :rule eq_resolve :premises (@p15 @p319)) % 5.00/5.29 (step @p321 :rule instantiate :premises (@p320) :args ((@list @t223 @t254 tptp.tptp0))) % 5.00/5.29 (step @p322 :rule refl :args (@t321)) % 5.00/5.29 (step @p323 :rule bool-double-not-elim :args (@t149)) % 5.00/5.29 (step @p324 :rule nary_cong :premises (@p323 @p322) :args ((and (not @t322) @t321))) % 5.00/5.29 (step @p325 :rule bool-or-de-morgan :args (@t322 @t320 false)) % 5.00/5.29 (step @p326 :rule trans :premises (@p325 @p324)) % 5.00/5.29 (step @p327 :rule refl :args (@t154)) % 5.00/5.29 (step @p328 :rule cong :premises (@p327 @p326) :args (@t324)) % 5.00/5.29 (step @p329 :rule cong :premises (@p328) :args ((forall @t156 @t324))) % 5.00/5.29 (step @p330 :rule quant-miniscope-or :args ((= (forall @t152 @t325) @t323))) % 5.00/5.29 (step @p331 :rule aci_norm :args ((= @t326 @t325))) % 5.00/5.29 (step @p332 :rule cong :premises (@p331) :args ((forall @t152 @t326))) % 5.00/5.29 (step @p333 :rule trans :premises (@p332 @p330)) % 5.00/5.29 (step @p334 :rule aci_norm :args ((= (or @t318 (or @t322 @t317)) @t326))) % 5.00/5.29 (step @p335 :rule bool-and-de-morgan :args (@t149 @t147 true)) % 5.00/5.29 (step @p336 :rule refl :args (@t318)) % 5.00/5.29 (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or @t318 (not (and @t149 @t147))))) % 5.00/5.29 (step @p338 :rule bool-and-de-morgan :args (@t150 @t149 (and @t147))) % 5.00/5.29 (step @p339 :rule trans :premises (@p338 @p337)) % 5.00/5.29 (step @p340 :rule trans :premises (@p339 @p334)) % 5.00/5.29 (step @p341 :rule cong :premises (@p340) :args (@t327)) % 5.00/5.29 (step @p342 :rule trans :premises (@p341 @p333)) % 5.00/5.29 (step @p343 :rule cong :premises (@p342) :args (@t328)) % 5.00/5.29 (step @p344 :rule exists-elim :args ((= @t153 @t328))) % 5.00/5.29 (step @p345 :rule trans :premises (@p344 @p343)) % 5.00/5.29 (step @p346 :rule refl :args (@t154)) % 5.00/5.29 (step @p347 :rule cong :premises (@p346 @p345) :args (@t155)) % 5.00/5.29 (step @p348 :rule cong :premises (@p347) :args (@t157)) % 5.00/5.29 (step @p349 :rule trans :premises (@p348 @p329)) % 5.00/5.29 (step @p350 :rule eq_resolve :premises (@p34 @p349)) % 5.00/5.29 (step @p351 :rule instantiate :premises (@p350) :args ((@list @t254 @t216))) % 5.00/5.29 (step @p352 :rule cnf_equiv_pos1 :args (@t332)) % 5.00/5.29 (step @p353 :rule reordering :premises (@p352) :args ((or @t258 @t331 (not @t332)))) % 5.00/5.29 (step @p354 :rule chain_m_resolution :premises (@p353 @p308 @p351) :args (@t331 @t248 (@list @t257 @t332))) % 5.00/5.29 (step @p355 :rule cnf_and_pos :args (@t331 1)) % 5.00/5.29 (step @p356 :rule reordering :premises (@p355) :args ((or @t330 @t333))) % 5.00/5.29 (step @p357 :rule chain_m_resolution :premises (@p356 @p354) :args (@t330 @t266 @t334)) % 5.00/5.29 (step @p358 :rule skolemize :premises (@p357)) % 5.00/5.29 (step @p359 :rule bool-double-not-elim :args (@t336)) % 5.00/5.29 (step @p360 :rule refl :args (@t340)) % 5.00/5.29 (step @p361 :rule nary_cong :premises (@p360 @p359) :args ((or @t340 (not @t337)))) % 5.00/5.29 (step @p362 :rule cnf_or_neg :args (@t340 1)) % 5.00/5.29 (step @p363 :rule eq_resolve :premises (@p362 @p361)) % 5.00/5.29 (step @p364 :rule reordering 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5.00/5.29 (step @p378 :rule nary_cong :premises (@p360 @p377) :args ((or @t340 (not @t339)))) % 5.00/5.29 (step @p379 :rule cnf_or_neg :args (@t340 0)) % 5.00/5.29 (step @p380 :rule eq_resolve :premises (@p379 @p378)) % 5.00/5.29 (step @p381 :rule reordering :premises (@p380) :args ((or @t338 @t340))) % 5.00/5.29 (step @p382 :rule chain_m_resolution :premises (@p381 @p358) :args (@t338 @t244 @t341)) % 5.00/5.29 (step @p383 :rule cnf_or_pos :args (@t345)) % 5.00/5.29 (step @p384 :rule reordering :premises (@p383) :args ((or @t242 @t339 @t344 (not @t345)))) % 5.00/5.29 (step @p385 :rule chain_m_resolution :premises (@p384 @p153 @p382 @p376) :args (@t344 (@list false false false) (@list @t239 @t338 @t345))) % 5.00/5.29 (step @p386 :rule refl :args (@t254)) % 5.00/5.29 (step @p387 :rule cong :premises (@p386 @p385) :args (@t346)) % 5.00/5.29 (step @p388 :rule trans :premises (@p387 @p366)) % 5.00/5.29 (step @p389 :rule true_elim :premises (@p388)) % 5.00/5.29 (step @p390 :rule cnf_or_pos :args (@t349)) % 5.00/5.29 (step @p391 :rule reordering :premises (@p390) :args ((or @t348 @t347 (not @t349)))) % 5.00/5.29 (step @p392 :rule chain_m_resolution :premises (@p391 @p389 @p321) :args (@t348 @t248 (@list @t346 @t349))) % 5.00/5.29 (step @p393 :rule refl :args (@t354)) % 5.00/5.29 (step @p394 :rule bool-double-not-elim :args (@t162)) % 5.00/5.29 (step @p395 :rule nary_cong :premises (@p394 @p393) :args ((and (not @t355) @t354))) % 5.00/5.29 (step @p396 :rule bool-or-de-morgan :args (@t355 @t353 false)) % 5.00/5.29 (step @p397 :rule trans :premises (@p396 @p395)) % 5.00/5.29 (step @p398 :rule refl :args (@t167)) % 5.00/5.29 (step @p399 :rule cong :premises (@p398 @p397) :args (@t357)) % 5.00/5.29 (step @p400 :rule cong :premises (@p399) :args ((forall @t169 @t357))) % 5.00/5.29 (step @p401 :rule quant-miniscope-or :args ((= (forall @t165 @t358) @t356))) % 5.00/5.29 (step @p402 :rule aci_norm :args ((= @t359 @t358))) % 5.00/5.29 (step @p403 :rule cong :premises (@p402) :args ((forall @t165 @t359))) % 5.00/5.29 (step @p404 :rule trans :premises (@p403 @p401)) % 5.00/5.29 (step @p405 :rule aci_norm :args ((= (or @t351 (or @t355 @t350)) @t359))) % 5.00/5.29 (step @p406 :rule bool-and-de-morgan :args (@t162 @t160 true)) % 5.00/5.29 (step @p407 :rule refl :args (@t351)) % 5.00/5.29 (step @p408 :rule nary_cong :premises (@p407 @p406) :args ((or @t351 (not (and @t162 @t160))))) % 5.00/5.29 (step @p409 :rule bool-and-de-morgan :args (@t163 @t162 (and @t160))) % 5.00/5.29 (step @p410 :rule trans :premises (@p409 @p408)) % 0.36/5.32 (step @p411 :rule trans :premises (@p410 @p405)) % 0.36/5.32 (step @p412 :rule cong :premises (@p411) :args (@t360)) % 0.36/5.32 (step @p413 :rule trans :premises (@p412 @p404)) % 0.36/5.32 (step @p414 :rule cong :premises (@p413) :args (@t361)) % 0.36/5.32 (step @p415 :rule exists-elim :args ((= @t166 @t361))) % 0.36/5.32 (step @p416 :rule trans :premises (@p415 @p414)) % 0.36/5.32 (step @p417 :rule refl :args (@t167)) % 0.36/5.32 (step @p418 :rule cong :premises (@p417 @p416) :args (@t168)) % 0.36/5.32 (step @p419 :rule cong :premises (@p418) :args (@t170)) % 0.36/5.32 (step @p420 :rule trans :premises (@p419 @p400)) % 0.36/5.32 (step @p421 :rule eq_resolve :premises (@p35 @p420)) % 0.36/5.32 (step @p422 :rule instantiate :premises (@p421) :args ((@list @t223 @t216))) % 0.36/5.32 (step @p423 :rule cnf_equiv_pos1 :args (@t363)) % 0.36/5.32 (step @p424 :rule reordering :premises (@p423) :args ((or @t251 @t362 (not @t363)))) % 0.36/5.32 (step @p425 :rule chain_m_resolution :premises (@p424 @p300 @p422) :args (@t362 @t248 (@list @t250 @t363))) % 0.36/5.32 (step @p426 :rule cnf_and_pos :args (@t362 0)) % 0.36/5.32 (step @p427 :rule reordering :premises (@p426) :args ((or @t287 (not @t362)))) % 0.36/5.32 (step @p428 :rule chain_m_resolution :premises (@p427 @p425) :args (@t287 @t266 (@list @t362))) % 0.36/5.32 (step @p429 :rule cnf_and_pos :args (@t331 0)) % 0.36/5.32 (step @p430 :rule reordering :premises (@p429) :args ((or @t285 @t333))) % 0.36/5.32 (step @p431 :rule chain_m_resolution :premises (@p430 @p354) :args (@t285 @t266 @t334)) % 0.36/5.32 (step @p432 :rule bool-impl-elim :args (@t28 @t27)) % 0.36/5.32 (step @p433 :rule cong :premises (@p432) :args (@t30)) % 0.36/5.32 (step @p434 :rule eq_resolve :premises (@p8 @p433)) % 0.36/5.32 (step @p435 :rule eq-symm :args (@t289 @t191)) % 0.36/5.32 (step @p436 :rule refl :args (@t260)) % 0.36/5.32 (step @p437 :rule nary_cong :premises (@p436 @p435) :args (@t364)) % 0.36/5.32 (step @p438 :rule refl :args (@t365)) % 0.36/5.32 (step @p439 :rule cong :premises (@p438 @p437) :args ((=> @t365 @t364))) % 0.36/5.32 (assume-push @p479 @t365) % 0.36/5.32 (step @p441 :rule instantiate :premises (@p434) :args ((@list @t254 tptp.tptp3))) % 0.36/5.32 (step-pop @p480 :rule scope :premises (@p441)) % 0.36/5.32 (step @p442 :rule process_scope :premises (@p480) :args (@t364)) % 0.36/5.32 (step @p444 :rule eq_resolve :premises (@p442 @p439)) % 0.36/5.32 (step @p445 :rule implies_elim :premises (@p444)) % 0.36/5.32 (step @p446 :rule chain_m_resolution :premises (@p445 @p434) :args (@t367 @t266 (@list @t365))) % 0.36/5.32 (step @p447 :rule cnf_or_pos :args (@t367)) % 0.36/5.32 (step @p448 :rule reordering :premises (@p447) :args ((or @t260 @t366 (not @t367)))) % 0.36/5.32 (step @p449 :rule chain_m_resolution :premises (@p448 @p314 @p446) :args (@t366 @t248 (@list @t259 @t367))) % 0.36/5.32 (step @p450 :rule cnf_equiv_pos1 :args (@t366)) % 0.36/5.32 (step @p451 :rule reordering :premises (@p450) :args ((or (not @t191) @t289 (not @t366)))) % 0.36/5.32 (step @p452 :rule chain_m_resolution :premises (@p451 @p42 @p449) :args (@t289 @t248 (@list @t191 @t366))) % 0.36/5.32 (step @p453 :rule cnf_or_pos :args (@t296)) % 0.36/5.32 (step @p454 :rule reordering :premises (@p453) :args ((or @t242 @t290 @t292 @t286 @t288 @t284 @t283 @t295 (not @t296)))) % 0.36/5.32 (step @p455 :rule chain_m_resolution :premises (@p454 @p153 @p452 @p431 @p428 @p392 @p317 @p287 @p220) :args (@t292 (@list false false false false true true true false) (@list @t239 @t289 @t285 @t287 @t284 @t283 @t295 @t296))) % 0.36/5.32 (step @p456 :rule cnf_or_pos :args (@t369)) % 0.36/5.32 (step @p457 :rule reordering :premises (@p456) :args ((or @t291 @t368 @t370))) % 0.36/5.32 (step @p458 :rule chain_m_resolution :premises (@p457 @p455 @p179) :args (@t370 @t371 (@list @t291 @t270))) % 0.36/5.32 (assume-push @p481 @t372) % 0.36/5.32 (step @p460 :rule instantiate :premises (@p53) :args ((@list @t223))) % 0.36/5.32 (step-pop @p482 :rule scope :premises (@p460)) % 0.36/5.32 (step @p461 :rule process_scope :premises (@p482) :args (@t369)) % 0.36/5.32 (step @p463 :rule implies_elim :premises (@p461)) % 0.36/5.32 (step @p464 false :rule chain_m_resolution :premises (@p463 @p458 @p53) :args (false @t371 (@list @t369 @t372))) % 0.36/5.32 ) % 0.36/5.32 % SZS output end Proof % 0.36/5.32 % cvc5 exiting %------------------------------------------------------------------------------