%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PRO010+3 : TPTP v9.2.1. Released v4.0.0. % 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 08:43:43 AM UTC 2026 % Result : Theorem 203.01s 203.96s % Output : Proof 203.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : PRO010+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 08:08:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 203.01/203.96 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 203.01/203.96 --- Run --no-e-matching --full-saturate-quant at 6... % 203.01/203.96 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 203.01/203.96 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 203.01/203.96 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 203.01/203.96 --- Run --trigger-sel=max --full-saturate-quant at 15... % 203.01/203.96 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 203.01/203.96 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 203.01/203.96 --- Run --prenex-quant=none --full-saturate-quant at 30... % 203.01/203.96 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 203.01/203.96 --- Run --relevant-triggers --full-saturate-quant at 30... % 203.01/203.96 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 203.01/203.96 % SZS status Theorem % 203.01/203.96 % SZS output start Proof % 203.01/203.96 ( % 203.01/203.96 (declare-sort $$unsorted 0) % 203.01/203.96 (declare-const tptp.tptp1 $$unsorted) % 203.01/203.96 (declare-const tptp.tptp2 $$unsorted) % 203.01/203.96 (declare-const tptp.tptp0 $$unsorted) % 203.01/203.96 (declare-const tptp.root_occ (-> $$unsorted $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.tptp4 $$unsorted) % 203.01/203.96 (declare-const tptp.subactivity_occurrence (-> $$unsorted $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.activity_occurrence (-> $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.leaf_occ (-> $$unsorted $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.subactivity (-> $$unsorted $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.arboreal (-> $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.atocc (-> $$unsorted $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.tptp3 $$unsorted) % 203.01/203.96 (declare-const tptp.next_subocc (-> $$unsorted $$unsorted $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.activity (-> $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.min_precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.occurrence_of (-> $$unsorted $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.earlier (-> $$unsorted $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.atomic (-> $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.legal (-> $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.precedes (-> $$unsorted $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.root (-> $$unsorted $$unsorted Bool)) % 203.01/203.96 (declare-const tptp.leaf (-> $$unsorted $$unsorted Bool)) % 203.01/203.96 (define @t1 () (@var "X1" $$unsorted)) % 203.01/203.96 (define @t2 () (@var "X0" $$unsorted)) % 203.01/203.96 (define @t3 () (@var "X3" $$unsorted)) % 203.01/203.96 (define @t4 () (@var "X2" $$unsorted)) % 203.01/203.96 (define @t5 () (@var "X6" $$unsorted)) % 203.01/203.96 (define @t6 () (@var "X5" $$unsorted)) % 203.01/203.96 (define @t7 () (@var "X4" $$unsorted)) % 203.01/203.96 (define @t8 () (@var "X7" $$unsorted)) % 203.01/203.96 (define @t9 () (@var "X8" $$unsorted)) % 203.01/203.96 (define @t10 () (@var "X9" $$unsorted)) % 203.01/203.96 (define @t11 () (@var "X12" $$unsorted)) % 203.01/203.96 (define @t12 () (@var "X10" $$unsorted)) % 203.01/203.96 (define @t13 () (@var "X11" $$unsorted)) % 203.01/203.96 (define @t14 () (@var "X15" $$unsorted)) % 203.01/203.96 (define @t15 () (@var "X13" $$unsorted)) % 203.01/203.96 (define @t16 () (@var "X14" $$unsorted)) % 203.01/203.96 (define @t17 () (@var "X17" $$unsorted)) % 203.01/203.96 (define @t18 () (tptp.atomic @t17)) % 203.01/203.96 (define @t19 () (@var "X16" $$unsorted)) % 203.01/203.96 (define @t20 () (= (tptp.arboreal @t19) @t18)) % 203.01/203.96 (define @t21 () (tptp.occurrence_of @t19 @t17)) % 203.01/203.96 (define @t22 () (@list @t19 @t17)) % 203.01/203.96 (define @t23 () (forall @t22 (=> @t21 @t20))) % 203.01/203.96 (define @t24 () (@var "X18" $$unsorted)) % 203.01/203.96 (define @t25 () (@var "X20" $$unsorted)) % 203.01/203.96 (define @t26 () (@var "X19" $$unsorted)) % 203.01/203.96 (define @t27 () (@var "X22" $$unsorted)) % 203.01/203.96 (define @t28 () (@var "X21" $$unsorted)) % 203.01/203.96 (define @t29 () (@var "X27" $$unsorted)) % 203.01/203.96 (define @t30 () (@var "X25" $$unsorted)) % 203.01/203.96 (define @t31 () (@var "X26" $$unsorted)) % 203.01/203.96 (define @t32 () (@var "X24" $$unsorted)) % 203.01/203.96 (define @t33 () (@var "X23" $$unsorted)) % 203.01/203.96 (define @t34 () (@var "X30" $$unsorted)) % 203.01/203.96 (define @t35 () (@var "X29" $$unsorted)) % 203.01/203.96 (define @t36 () (@var "X28" $$unsorted)) % 203.01/203.96 (define @t37 () (@var "X33" $$unsorted)) % 203.01/203.96 (define @t38 () (@var "X32" $$unsorted)) % 203.01/203.96 (define @t39 () (@var "X34" $$unsorted)) % 203.01/203.96 (define @t40 () (@var "X31" $$unsorted)) % 203.01/203.96 (define @t41 () (@var "X37" $$unsorted)) % 203.01/203.96 (define @t42 () (@var "X36" $$unsorted)) % 203.01/203.96 (define @t43 () (@var "X35" $$unsorted)) % 203.01/203.96 (define @t44 () (@var "X39" $$unsorted)) % 203.01/203.96 (define @t45 () (@var "X38" $$unsorted)) % 203.01/203.96 (define @t46 () (@var "X40" $$unsorted)) % 203.01/203.96 (define @t47 () (@var "X41" $$unsorted)) % 203.01/203.96 (define @t48 () (@var "X42" $$unsorted)) % 203.01/203.96 (define @t49 () (@var "X44" $$unsorted)) % 203.01/203.96 (define @t50 () (@var "X43" $$unsorted)) % 203.01/203.96 (define @t51 () (@var "X48" $$unsorted)) % 203.01/203.96 (define @t52 () (@var "X47" $$unsorted)) % 203.01/203.96 (define @t53 () (@var "X46" $$unsorted)) % 203.01/203.96 (define @t54 () (@var "X45" $$unsorted)) % 203.01/203.96 (define @t55 () (@var "X51" $$unsorted)) % 203.01/203.96 (define @t56 () (@var "X50" $$unsorted)) % 203.01/203.96 (define @t57 () (@var "X49" $$unsorted)) % 203.01/203.96 (define @t58 () (@var "X55" $$unsorted)) % 203.01/203.96 (define @t59 () (@var "X54" $$unsorted)) % 203.01/203.96 (define @t60 () (@var "X53" $$unsorted)) % 203.01/203.96 (define @t61 () (@var "X52" $$unsorted)) % 203.01/203.96 (define @t62 () (@var "X57" $$unsorted)) % 203.01/203.96 (define @t63 () (@var "X59" $$unsorted)) % 203.01/203.96 (define @t64 () (@var "X56" $$unsorted)) % 203.01/203.96 (define @t65 () (@var "X58" $$unsorted)) % 203.01/203.96 (define @t66 () (@var "X62" $$unsorted)) % 203.01/203.96 (define @t67 () (@var "X61" $$unsorted)) % 203.01/203.96 (define @t68 () (@var "X63" $$unsorted)) % 203.01/203.96 (define @t69 () (@var "X60" $$unsorted)) % 203.01/203.96 (define @t70 () (@var "X66" $$unsorted)) % 203.01/203.96 (define @t71 () (@var "X64" $$unsorted)) % 203.01/203.96 (define @t72 () (@var "X65" $$unsorted)) % 203.01/203.96 (define @t73 () (@var "X68" $$unsorted)) % 203.01/203.96 (define @t74 () (@var "X67" $$unsorted)) % 203.01/203.96 (define @t75 () (@var "X72" $$unsorted)) % 203.01/203.96 (define @t76 () (@var "X71" $$unsorted)) % 203.01/203.96 (define @t77 () (@var "X70" $$unsorted)) % 203.01/203.96 (define @t78 () (@var "X69" $$unsorted)) % 203.01/203.96 (define @t79 () (@var "X75" $$unsorted)) % 203.01/203.96 (define @t80 () (@var "X74" $$unsorted)) % 203.01/203.96 (define @t81 () (@var "X73" $$unsorted)) % 203.01/203.96 (define @t82 () (@var "X77" $$unsorted)) % 203.01/203.96 (define @t83 () (@var "X78" $$unsorted)) % 203.01/203.96 (define @t84 () (@var "X76" $$unsorted)) % 203.01/203.96 (define @t85 () (@var "X82" $$unsorted)) % 203.01/203.96 (define @t86 () (@var "X81" $$unsorted)) % 203.01/203.96 (define @t87 () (@var "X79" $$unsorted)) % 203.01/203.96 (define @t88 () (@var "X80" $$unsorted)) % 203.01/203.96 (define @t89 () (@var "X86" $$unsorted)) % 203.01/203.96 (define @t90 () (@var "X83" $$unsorted)) % 203.01/203.96 (define @t91 () (@var "X84" $$unsorted)) % 203.01/203.96 (define @t92 () (@var "X85" $$unsorted)) % 203.01/203.96 (define @t93 () (@var "X88" $$unsorted)) % 203.01/203.96 (define @t94 () (@var "X87" $$unsorted)) % 203.01/203.96 (define @t95 () (@var "X90" $$unsorted)) % 203.01/203.96 (define @t96 () (@var "X89" $$unsorted)) % 203.01/203.96 (define @t97 () (@var "X93" $$unsorted)) % 203.01/203.96 (define @t98 () (@var "X91" $$unsorted)) % 203.01/203.96 (define @t99 () (@var "X92" $$unsorted)) % 203.01/203.96 (define @t100 () (@var "X96" $$unsorted)) % 203.01/203.96 (define @t101 () (@var "X98" $$unsorted)) % 203.01/203.96 (define @t102 () (@var "X97" $$unsorted)) % 203.01/203.96 (define @t103 () (@var "X95" $$unsorted)) % 203.01/203.96 (define @t104 () (@var "X94" $$unsorted)) % 203.01/203.96 (define @t105 () (@var "X101" $$unsorted)) % 203.01/203.96 (define @t106 () (@var "X99" $$unsorted)) % 203.01/203.96 (define @t107 () (@var "X100" $$unsorted)) % 203.01/203.96 (define @t108 () (@var "X104" $$unsorted)) % 203.01/203.96 (define @t109 () (@var "X102" $$unsorted)) % 203.01/203.96 (define @t110 () (@var "X103" $$unsorted)) % 203.01/203.96 (define @t111 () (@var "X106" $$unsorted)) % 203.01/203.96 (define @t112 () (@var "X105" $$unsorted)) % 203.01/203.96 (define @t113 () (@var "X107" $$unsorted)) % 203.01/203.96 (define @t114 () (@var "X108" $$unsorted)) % 203.01/203.96 (define @t115 () (@var "X110" $$unsorted)) % 203.01/203.96 (define @t116 () (@var "X109" $$unsorted)) % 203.01/203.96 (define @t117 () (@var "X111" $$unsorted)) % 203.01/203.96 (define @t118 () (@var "X112" $$unsorted)) % 203.01/203.96 (define @t119 () (@var "X115" $$unsorted)) % 203.01/203.96 (define @t120 () (@var "X116" $$unsorted)) % 203.01/203.96 (define @t121 () (@var "X114" $$unsorted)) % 203.01/203.96 (define @t122 () (@var "X113" $$unsorted)) % 203.01/203.96 (define @t123 () (@var "X119" $$unsorted)) % 203.01/203.96 (define @t124 () (@var "X118" $$unsorted)) % 203.01/203.96 (define @t125 () (@var "X120" $$unsorted)) % 203.01/203.96 (define @t126 () (@var "X117" $$unsorted)) % 203.01/203.96 (define @t127 () (@var "X123" $$unsorted)) % 203.01/203.96 (define @t128 () (@var "X122" $$unsorted)) % 203.01/203.96 (define @t129 () (@var "X125" $$unsorted)) % 203.01/203.96 (define @t130 () (@var "X124" $$unsorted)) % 203.01/203.96 (define @t131 () (@var "X121" $$unsorted)) % 203.01/203.96 (define @t132 () (@var "X128" $$unsorted)) % 203.01/203.96 (define @t133 () (@var "X127" $$unsorted)) % 203.01/203.96 (define @t134 () (@var "X129" $$unsorted)) % 203.01/203.96 (define @t135 () (@var "X126" $$unsorted)) % 203.01/203.96 (define @t136 () (@var "X133" $$unsorted)) % 203.01/203.96 (define @t137 () (@var "X131" $$unsorted)) % 203.01/203.96 (define @t138 () (@var "X132" $$unsorted)) % 203.01/203.96 (define @t139 () (@var "X130" $$unsorted)) % 203.01/203.96 (define @t140 () (@var "X136" $$unsorted)) % 203.01/203.96 (define @t141 () (@var "X137" $$unsorted)) % 203.01/203.96 (define @t142 () (@var "X134" $$unsorted)) % 203.01/203.96 (define @t143 () (@var "X135" $$unsorted)) % 203.01/203.96 (define @t144 () (@var "X140" $$unsorted)) % 203.01/203.96 (define @t145 () (@var "X141" $$unsorted)) % 203.01/203.96 (define @t146 () (@var "X138" $$unsorted)) % 203.01/203.96 (define @t147 () (@var "X139" $$unsorted)) % 203.01/203.96 (define @t148 () (@var "X143" $$unsorted)) % 203.01/203.96 (define @t149 () (@var "X142" $$unsorted)) % 203.01/203.96 (define @t150 () (@var "X144" $$unsorted)) % 203.01/203.96 (define @t151 () (@var "X147" $$unsorted)) % 203.01/203.96 (define @t152 () (@var "X145" $$unsorted)) % 203.01/203.96 (define @t153 () (@var "X146" $$unsorted)) % 203.01/203.96 (define @t154 () (@var "X148" $$unsorted)) % 203.01/203.96 (define @t155 () (tptp.arboreal @t154)) % 203.01/203.96 (define @t156 () (@var "X150" $$unsorted)) % 203.01/203.96 (define @t157 () (@var "X149" $$unsorted)) % 203.01/203.96 (define @t158 () (tptp.min_precedes @t154 @t157 @t156)) % 203.01/203.96 (define @t159 () (@list @t154 @t157 @t156)) % 203.01/203.96 (define @t160 () (forall @t159 (=> @t158 @t155))) % 203.01/203.96 (define @t161 () (@var "X151" $$unsorted)) % 203.01/203.96 (define @t162 () (@var "X153" $$unsorted)) % 203.01/203.96 (define @t163 () (@var "X154" $$unsorted)) % 203.01/203.96 (define @t164 () (@var "X155" $$unsorted)) % 203.01/203.96 (define @t165 () (@var "X152" $$unsorted)) % 203.01/203.96 (define @t166 () (@var "X156" $$unsorted)) % 203.01/203.96 (define @t167 () (@var "X160" $$unsorted)) % 203.01/203.96 (define @t168 () (@var "X158" $$unsorted)) % 203.01/203.96 (define @t169 () (@var "X159" $$unsorted)) % 203.01/203.96 (define @t170 () (@var "X157" $$unsorted)) % 203.01/203.96 (define @t171 () (@var "X161" $$unsorted)) % 203.01/203.96 (define @t172 () (@var "X164" $$unsorted)) % 203.01/203.96 (define @t173 () (tptp.leaf_occ @t172 @t171)) % 203.01/203.96 (define @t174 () (@var "X163" $$unsorted)) % 203.01/203.96 (define @t175 () (tptp.next_subocc @t174 @t172 tptp.tptp0)) % 203.01/203.96 (define @t176 () (tptp.occurrence_of @t172 tptp.tptp2)) % 203.01/203.96 (define @t177 () (tptp.occurrence_of @t172 tptp.tptp1)) % 203.01/203.96 (define @t178 () (or @t177 @t176)) % 203.01/203.96 (define @t179 () (@var "X162" $$unsorted)) % 203.01/203.96 (define @t180 () (tptp.next_subocc @t179 @t174 tptp.tptp0)) % 203.01/203.96 (define @t181 () (tptp.occurrence_of @t174 tptp.tptp4)) % 203.01/203.96 (define @t182 () (tptp.root_occ @t179 @t171)) % 203.01/203.96 (define @t183 () (tptp.occurrence_of @t179 tptp.tptp3)) % 203.01/203.96 (define @t184 () (and @t183 @t182 @t181 @t180 @t178 @t175 @t173)) % 203.01/203.96 (define @t185 () (@list @t179 @t174 @t172)) % 203.01/203.96 (define @t186 () (exists @t185 @t184)) % 203.01/203.96 (define @t187 () (tptp.occurrence_of @t171 tptp.tptp0)) % 203.01/203.96 (define @t188 () (=> @t187 @t186)) % 203.01/203.96 (define @t189 () (@list @t171)) % 203.01/203.96 (define @t190 () (forall @t189 @t188)) % 203.01/203.96 (define @t191 () (tptp.atomic tptp.tptp0)) % 203.01/203.96 (define @t192 () (@var "X169" $$unsorted)) % 203.01/203.96 (define @t193 () (@var "X166" $$unsorted)) % 203.01/203.96 (define @t194 () (tptp.min_precedes @t193 @t192 tptp.tptp0)) % 203.01/203.96 (define @t195 () (tptp.occurrence_of @t192 tptp.tptp1)) % 203.01/203.96 (define @t196 () (and @t195 @t194)) % 203.01/203.96 (define @t197 () (@list @t192)) % 203.01/203.96 (define @t198 () (exists @t197 @t196)) % 203.01/203.96 (define @t199 () (not @t198)) % 203.01/203.96 (define @t200 () (@var "X167" $$unsorted)) % 203.01/203.96 (define @t201 () (tptp.occurrence_of @t200 tptp.tptp2)) % 203.01/203.96 (define @t202 () (=> @t201 @t199)) % 203.01/203.96 (define @t203 () (@var "X168" $$unsorted)) % 203.01/203.96 (define @t204 () (tptp.min_precedes @t193 @t203 tptp.tptp0)) % 203.01/203.96 (define @t205 () (tptp.occurrence_of @t203 tptp.tptp2)) % 203.01/203.96 (define @t206 () (and @t205 @t204)) % 203.01/203.96 (define @t207 () (@list @t203)) % 203.01/203.96 (define @t208 () (exists @t207 @t206)) % 203.01/203.96 (define @t209 () (not @t208)) % 203.01/203.96 (define @t210 () (tptp.occurrence_of @t200 tptp.tptp1)) % 203.01/203.96 (define @t211 () (=> @t210 @t209)) % 203.01/203.96 (define @t212 () (@var "X165" $$unsorted)) % 203.01/203.96 (define @t213 () (tptp.leaf_occ @t200 @t212)) % 203.01/203.96 (define @t214 () (and @t213 @t211 @t202)) % 203.01/203.96 (define @t215 () (@list @t193 @t200)) % 203.01/203.96 (define @t216 () (exists @t215 @t214)) % 203.01/203.96 (define @t217 () (tptp.occurrence_of @t212 tptp.tptp0)) % 203.01/203.96 (define @t218 () (=> @t217 @t216)) % 203.01/203.96 (define @t219 () (@list @t212)) % 203.01/203.96 (define @t220 () (forall @t219 @t218)) % 203.01/203.96 (define @t221 () (not @t220)) % 203.01/203.96 (define @t222 () (@var "b_X148" it_3_$$unsorted)) % 203.01/203.96 (define @t223 () (@const 0 (-> it_3_$$unsorted Bool))) % 203.01/203.96 (define @t224 () (@var "b_X149" it_3_$$unsorted)) % 203.01/203.96 (define @t225 () (@const 1 (-> it_3_$$unsorted it_3_$$unsorted $$unsorted Bool))) % 203.01/203.96 (define @t226 () (forall (@list @t222 @t224 @t156) (or (not (_ @t225 @t222 @t224 @t156)) (_ @t223 @t222)))) % 203.01/203.96 (define @t227 () (@var "b_X169" it_3_$$unsorted)) % 203.01/203.96 (define @t228 () (@var "b_X166" it_3_$$unsorted)) % 203.01/203.96 (define @t229 () (@const 2 (-> it_3_$$unsorted $$unsorted Bool))) % 203.01/203.96 (define @t230 () (not (_ @t229 @t227 tptp.tptp1))) % 203.01/203.96 (define @t231 () (@list @t227)) % 203.01/203.96 (define @t232 () (@var "b_X167" it_3_$$unsorted)) % 203.01/203.96 (define @t233 () (and (_ @t229 @t232 tptp.tptp2) (not (forall @t231 (or @t230 (not (_ @t225 @t228 @t227 tptp.tptp0))))))) % 203.01/203.96 (define @t234 () (@var "b_X168" it_3_$$unsorted)) % 203.01/203.96 (define @t235 () (not (_ @t229 @t234 tptp.tptp2))) % 203.01/203.96 (define @t236 () (@list @t234)) % 203.01/203.96 (define @t237 () (and (_ @t229 @t232 tptp.tptp1) (not (forall @t236 (or @t235 (not (_ @t225 @t228 @t234 tptp.tptp0))))))) % 203.01/203.96 (define @t238 () (@var "b_X165" it_3_$$unsorted)) % 203.01/203.96 (define @t239 () (@const 3 (-> it_3_$$unsorted it_3_$$unsorted Bool))) % 203.01/203.96 (define @t240 () (@list @t228 @t232)) % 203.01/203.96 (define @t241 () (forall (@list @t238) (or (not (_ @t229 @t238 tptp.tptp0)) (not (forall @t240 (or (not (_ @t239 @t232 @t238)) @t237 @t233)))))) % 203.01/203.96 (define @t242 () (forall @t197 (or (not @t195) (not @t194)))) % 203.01/203.96 (define @t243 () (forall @t207 (or (not @t205) (not @t204)))) % 203.01/203.96 (define @t244 () (not @t213)) % 203.01/203.96 (define @t245 () (not (forall @t215 (or @t244 (and @t210 (not @t243)) (and @t201 (not @t242)))))) % 203.01/203.96 (define @t246 () (=> @t201 @t242)) % 203.01/203.96 (define @t247 () (not @t246)) % 203.01/203.96 (define @t248 () (=> @t210 @t243)) % 203.01/203.96 (define @t249 () (not @t248)) % 203.01/203.96 (define @t250 () (or @t244 @t249 @t247)) % 203.01/203.96 (define @t251 () (and @t213 @t248 @t246)) % 203.01/203.96 (define @t252 () (forall @t215 (not @t251))) % 203.01/203.96 (define @t253 () (not @t252)) % 203.01/203.96 (define @t254 () (forall @t197 (not @t196))) % 203.01/203.96 (define @t255 () (not @t254)) % 203.01/203.96 (define @t256 () (forall @t207 (not @t206))) % 203.01/203.96 (define @t257 () (not @t256)) % 203.01/203.96 (define @t258 () (@quantifiers_skolemize @t241 0)) % 203.01/203.96 (define @t259 () (forall @t240 (or (not (_ @t239 @t232 @t258)) @t237 @t233))) % 203.01/203.96 (define @t260 () (not @t259)) % 203.01/203.96 (define @t261 () (_ @t229 @t258 tptp.tptp0)) % 203.01/203.96 (define @t262 () (not @t261)) % 203.01/203.96 (define @t263 () (or @t262 @t260)) % 203.01/203.96 (define @t264 () (@list true)) % 203.01/203.96 (define @t265 () (@list @t263)) % 203.01/203.96 (define @t266 () (@var "b_X164" it_3_$$unsorted)) % 203.01/203.96 (define @t267 () (@var "b_X163" it_3_$$unsorted)) % 203.01/203.96 (define @t268 () (@const 4 (-> it_3_$$unsorted it_3_$$unsorted $$unsorted Bool))) % 203.01/203.96 (define @t269 () (not (_ @t268 @t267 @t266 tptp.tptp0))) % 203.01/203.96 (define @t270 () (and (not (_ @t229 @t266 tptp.tptp1)) (not (_ @t229 @t266 tptp.tptp2)))) % 203.01/203.96 (define @t271 () (@var "b_X162" it_3_$$unsorted)) % 203.01/203.96 (define @t272 () (not (_ @t268 @t271 @t267 tptp.tptp0))) % 203.01/203.96 (define @t273 () (not (_ @t229 @t267 tptp.tptp4))) % 203.01/203.96 (define @t274 () (@const 5 (-> it_3_$$unsorted it_3_$$unsorted Bool))) % 203.01/203.96 (define @t275 () (not (_ @t229 @t271 tptp.tptp3))) % 203.01/203.96 (define @t276 () (@list @t271 @t267 @t266)) % 203.01/203.96 (define @t277 () (forall @t276 (or @t275 (not (_ @t274 @t271 @t258)) @t273 @t272 @t270 @t269 (not (_ @t239 @t266 @t258))))) % 203.01/203.96 (define @t278 () (@quantifiers_skolemize @t277 2)) % 203.01/203.96 (define @t279 () (forall @t236 (or @t235 (not (_ @t225 @t258 @t234 tptp.tptp0))))) % 203.01/203.96 (define @t280 () (@quantifiers_skolemize @t279 0)) % 203.01/203.96 (define @t281 () (@var "b_X16" it_3_$$unsorted)) % 203.01/203.96 (define @t282 () (_ @t223 @t258)) % 203.01/203.96 (define @t283 () (= @t191 @t282)) % 203.01/203.96 (define @t284 () (or @t262 @t283)) % 203.01/203.96 (define @t285 () (@list false false)) % 203.01/203.96 (define @t286 () (not @t282)) % 203.01/203.96 (define @t287 () (@list true false)) % 203.01/203.96 (define @t288 () (_ @t225 @t258 @t280 tptp.tptp0)) % 203.01/203.96 (define @t289 () (not @t288)) % 203.01/203.96 (define @t290 () (or @t289 @t282)) % 203.01/203.96 (define @t291 () (or (not (_ @t229 @t280 tptp.tptp2)) @t289)) % 203.01/203.96 (define @t292 () (not @t291)) % 203.01/203.96 (define @t293 () (not @t279)) % 203.01/203.96 (define @t294 () (@list false)) % 203.01/203.96 (define @t295 () (_ @t229 @t278 tptp.tptp1)) % 203.01/203.96 (define @t296 () (and @t295 @t293)) % 203.01/203.96 (define @t297 () (not @t296)) % 203.01/203.96 (define @t298 () (@var "b_X161" it_3_$$unsorted)) % 203.01/203.96 (define @t299 () (not @t173)) % 203.01/203.96 (define @t300 () (not @t175)) % 203.01/203.96 (define @t301 () (not @t180)) % 203.01/203.96 (define @t302 () (not @t181)) % 203.01/203.96 (define @t303 () (not @t182)) % 203.01/203.96 (define @t304 () (not @t183)) % 203.01/203.96 (define @t305 () (not (forall @t185 (or @t304 @t303 @t302 @t301 (and (not @t177) (not @t176)) @t300 @t299)))) % 203.01/203.96 (define @t306 () (not @t178)) % 203.01/203.96 (define @t307 () (or @t304 @t303 @t302 @t301 @t306 @t300 @t299)) % 203.01/203.96 (define @t308 () (forall @t185 (not @t184))) % 203.01/203.96 (define @t309 () (not @t308)) % 203.01/203.96 (define @t310 () (not @t277)) % 203.01/203.96 (define @t311 () (or @t262 @t310)) % 203.01/203.96 (define @t312 () (_ @t239 @t278 @t258)) % 203.01/203.96 (define @t313 () (not @t312)) % 203.01/203.96 (define @t314 () (@quantifiers_skolemize @t277 1)) % 203.01/203.96 (define @t315 () (_ @t229 @t278 tptp.tptp2)) % 203.01/203.96 (define @t316 () (@quantifiers_skolemize @t277 0)) % 203.01/203.96 (define @t317 () (or (not (_ @t229 @t316 tptp.tptp3)) (not (_ @t274 @t316 @t258)) (not (_ @t229 @t314 tptp.tptp4)) (not (_ @t268 @t316 @t314 tptp.tptp0)) (and (not @t295) (not @t315)) (not (_ @t268 @t314 @t278 tptp.tptp0)) @t313)) % 203.01/203.96 (define @t318 () (forall @t231 (or @t230 (not (_ @t225 @t258 @t227 tptp.tptp0))))) % 203.01/203.96 (define @t319 () (not @t318)) % 203.01/203.96 (define @t320 () (and @t315 @t319)) % 203.01/203.96 (define @t321 () (or @t313 @t296 @t320)) % 203.01/203.96 (define @t322 () (@quantifiers_skolemize @t318 0)) % 203.01/203.96 (define @t323 () (_ @t225 @t258 @t322 tptp.tptp0)) % 203.01/203.96 (define @t324 () (not @t323)) % 203.01/203.96 (define @t325 () (or (not (_ @t229 @t322 tptp.tptp1)) @t324)) % 203.01/203.96 (define @t326 () (not @t325)) % 203.01/203.96 (define @t327 () (or @t324 @t282)) % 203.01/203.96 (define @t328 () (not @t327)) % 203.01/203.96 (assume @p1 (forall (@list @t2 @t1) (=> (tptp.occurrence_of @t1 @t2) (and (tptp.activity @t2) (tptp.activity_occurrence @t1))))) % 203.01/203.96 (assume @p2 (forall (@list @t4) (=> (tptp.activity_occurrence @t4) (exists (@list @t3) (and (tptp.activity @t3) (tptp.occurrence_of @t4 @t3)))))) % 203.01/203.96 (assume @p3 (forall (@list @t7 @t6 @t5) (=> (and (tptp.occurrence_of @t7 @t6) (tptp.occurrence_of @t7 @t5)) (= @t6 @t5)))) % 203.01/203.96 (assume @p4 (forall (@list @t8) (=> (tptp.activity @t8) (tptp.subactivity @t8 @t8)))) % 203.01/203.96 (assume @p5 (forall (@list @t9 @t10) (=> (tptp.earlier @t9 @t10) (not (tptp.earlier @t10 @t9))))) % 203.01/203.96 (assume @p6 (forall (@list @t12 @t13 @t11) (=> (and (tptp.earlier @t12 @t13) (tptp.earlier @t13 @t11)) (tptp.earlier @t12 @t11)))) % 203.01/203.96 (assume @p7 (forall (@list @t15 @t16 @t14) (=> (and (tptp.earlier @t15 @t16) (tptp.earlier @t14 @t16)) (or (tptp.earlier @t14 @t15) (tptp.earlier @t15 @t14) (= @t15 @t14))))) % 203.01/203.96 (assume @p8 @t23) % 203.01/203.96 (assume @p9 (forall (@list @t24) (=> (tptp.legal @t24) (tptp.arboreal @t24)))) % 203.01/203.96 (assume @p10 (forall (@list @t26 @t25) (=> (and (tptp.legal @t26) (tptp.earlier @t25 @t26)) (tptp.legal @t25)))) % 203.01/203.96 (assume @p11 (forall (@list @t28 @t27) (= (tptp.precedes @t28 @t27) (and (tptp.earlier @t28 @t27) (tptp.legal @t27))))) % 203.01/203.96 (assume @p12 (forall (@list @t33 @t32 @t30) (=> (tptp.min_precedes @t32 @t30 @t33) (exists (@list @t31 @t29) (and (tptp.subactivity @t31 @t33) (tptp.subactivity @t29 @t33) (tptp.atocc @t32 @t31) (tptp.atocc @t30 @t29)))))) % 203.01/203.96 (assume @p13 (forall (@list @t36 @t35) (=> (tptp.root @t35 @t36) (exists (@list @t34) (and (tptp.subactivity @t34 @t36) (tptp.atocc @t35 @t34)))))) % 203.01/203.96 (assume @p14 (forall (@list @t40 @t38 @t37) (=> (tptp.min_precedes @t40 @t38 @t37) (exists (@list @t39) (and (tptp.root @t39 @t37) (tptp.min_precedes @t39 @t38 @t37)))))) % 203.01/203.96 (assume @p15 (forall (@list @t43 @t42 @t41) (=> (tptp.min_precedes @t43 @t42 @t41) (not (tptp.root @t42 @t41))))) % 203.01/203.96 (assume @p16 (forall (@list @t45 @t44 @t46) (=> (tptp.min_precedes @t45 @t44 @t46) (tptp.precedes @t45 @t44)))) % 203.01/203.96 (assume @p17 (forall (@list @t47 @t48) (=> (tptp.root @t47 @t48) (tptp.legal @t47)))) % 203.01/203.96 (assume @p18 (forall (@list @t50 @t49) (=> (and (tptp.atocc @t50 @t49) (tptp.legal @t50)) (tptp.root @t50 @t49)))) % 203.01/203.96 (assume @p19 (forall (@list @t54 @t53 @t52 @t51) (=> (and (tptp.min_precedes @t54 @t53 @t51) (tptp.min_precedes @t54 @t52 @t51) (tptp.precedes @t53 @t52)) (tptp.min_precedes @t53 @t52 @t51)))) % 203.01/203.96 (assume @p20 (forall (@list @t57 @t56 @t55) (=> (tptp.min_precedes @t57 @t56 @t55) (not (tptp.atomic @t55))))) % 203.01/203.96 (assume @p21 (forall (@list @t61 @t60 @t59 @t58) (=> (and (tptp.min_precedes @t60 @t61 @t58) (tptp.min_precedes @t59 @t61 @t58) (tptp.precedes @t60 @t59)) (tptp.min_precedes @t60 @t59 @t58)))) % 203.01/203.96 (assume @p22 (forall (@list @t64 @t62) (= (tptp.leaf @t64 @t62) (and (or (tptp.root @t64 @t62) (exists (@list @t65) (tptp.min_precedes @t65 @t64 @t62))) (not (exists (@list @t63) (tptp.min_precedes @t64 @t63 @t62))))))) % 203.01/203.96 (assume @p23 (forall (@list @t69 @t67 @t66) (= (tptp.next_subocc @t69 @t67 @t66) (and (tptp.min_precedes @t69 @t67 @t66) (not (exists (@list @t68) (and (tptp.min_precedes @t69 @t68 @t66) (tptp.min_precedes @t68 @t67 @t66)))))))) % 203.01/203.96 (assume @p24 (forall (@list @t71 @t72) (= (tptp.atocc @t71 @t72) (exists (@list @t70) (and (tptp.subactivity @t72 @t70) (tptp.atomic @t70) (tptp.occurrence_of @t71 @t70)))))) % 203.01/203.96 (assume @p25 (forall (@list @t74 @t73) (=> (tptp.subactivity_occurrence @t74 @t73) (and (tptp.activity_occurrence @t74) (tptp.activity_occurrence @t73))))) % 203.01/203.96 (assume @p26 (forall (@list @t78 @t77 @t76) (=> (tptp.min_precedes @t77 @t76 @t78) (exists (@list @t75) (and (tptp.occurrence_of @t75 @t78) (tptp.subactivity_occurrence @t77 @t75) (tptp.subactivity_occurrence @t76 @t75)))))) % 203.01/203.96 (assume @p27 (forall (@list @t81 @t80) (=> (and (tptp.root @t80 @t81) (not (tptp.atomic @t81))) (exists (@list @t79) (and (tptp.occurrence_of @t79 @t81) (tptp.subactivity_occurrence @t80 @t79)))))) % 203.01/203.96 (assume @p28 (forall (@list @t84 @t82) (=> (and (tptp.occurrence_of @t82 @t84) (not (tptp.atomic @t84))) (exists (@list @t83) (and (tptp.root @t83 @t84) (tptp.subactivity_occurrence @t83 @t82)))))) % 203.01/203.96 (assume @p29 (forall (@list @t87 @t88 @t86 @t85) (=> (and (tptp.occurrence_of @t88 @t87) (tptp.arboreal @t86) (tptp.arboreal @t85) (tptp.subactivity_occurrence @t86 @t88) (tptp.subactivity_occurrence @t85 @t88)) (or (tptp.min_precedes @t86 @t85 @t87) (tptp.min_precedes @t85 @t86 @t87) (= @t86 @t85))))) % 203.01/203.96 (assume @p30 (forall (@list @t90 @t91 @t92 @t89) (=> (and (tptp.min_precedes @t90 @t91 @t92) (tptp.occurrence_of @t89 @t92) (tptp.subactivity_occurrence @t91 @t89)) (tptp.subactivity_occurrence @t90 @t89)))) % 203.01/203.96 (assume @p31 (forall (@list @t94 @t93 @t96 @t95) (=> (and (tptp.occurrence_of @t96 @t94) (tptp.occurrence_of @t95 @t93) (not (tptp.atomic @t94)) (tptp.subactivity_occurrence @t96 @t95)) (tptp.subactivity @t94 @t93)))) % 203.01/203.96 (assume @p32 (forall (@list @t98 @t99 @t97) (=> (and (tptp.subactivity_occurrence @t98 @t99) (tptp.subactivity_occurrence @t99 @t97)) (tptp.subactivity_occurrence @t98 @t97)))) % 203.01/203.96 (assume @p33 (forall (@list @t104 @t103 @t100 @t102) (=> (and (tptp.occurrence_of @t100 @t104) (tptp.occurrence_of @t102 @t103) (tptp.subactivity @t104 @t103) (not (tptp.subactivity_occurrence @t100 @t102))) (exists (@list @t101) (and (tptp.subactivity_occurrence @t101 @t102) (not (tptp.subactivity_occurrence @t101 @t100))))))) % 203.01/203.96 (assume @p34 (forall (@list @t106 @t107) (= (tptp.root_occ @t106 @t107) (exists (@list @t105) (and (tptp.occurrence_of @t107 @t105) (tptp.subactivity_occurrence @t106 @t107) (tptp.root @t106 @t105)))))) % 203.01/203.96 (assume @p35 (forall (@list @t109 @t110) (= (tptp.leaf_occ @t109 @t110) (exists (@list @t108) (and (tptp.occurrence_of @t110 @t108) (tptp.subactivity_occurrence @t109 @t110) (tptp.leaf @t109 @t108)))))) % 203.01/203.96 (assume @p36 (forall (@list @t112 @t111 @t113 @t114) (=> (and (tptp.occurrence_of @t113 @t114) (tptp.root_occ @t112 @t113) (tptp.root_occ @t111 @t113)) (= @t112 @t111)))) % 203.01/203.96 (assume @p37 (forall (@list @t116 @t115 @t117 @t118) (=> (and (tptp.occurrence_of @t117 @t118) (not (tptp.atomic @t118)) (tptp.leaf_occ @t116 @t117) (tptp.leaf_occ @t115 @t117)) (= @t116 @t115)))) % 203.01/203.96 (assume @p38 (forall (@list @t122 @t121 @t119) (=> (and (tptp.occurrence_of @t122 @t119) (tptp.leaf_occ @t121 @t122)) (not (exists (@list @t120) (tptp.min_precedes @t121 @t120 @t119)))))) % 203.01/203.96 (assume @p39 (forall (@list @t126 @t124 @t123) (=> (and (tptp.occurrence_of @t126 @t123) (tptp.root_occ @t124 @t126)) (not (exists (@list @t125) (tptp.min_precedes @t125 @t124 @t123)))))) % 203.01/203.96 (assume @p40 (forall (@list @t131 @t128 @t127 @t130 @t129) (=> (and (tptp.next_subocc @t131 @t128 @t130) (tptp.next_subocc @t131 @t127 @t130) (tptp.occurrence_of @t129 @t130) (tptp.subactivity_occurrence @t127 @t129) (tptp.subactivity_occurrence @t128 @t129)) (= @t128 @t127)))) % 203.01/203.96 (assume @p41 (forall (@list @t135 @t133 @t132 @t134) (=> (and (tptp.next_subocc @t133 @t135 @t134) (tptp.next_subocc @t132 @t135 @t134)) (= @t133 @t132)))) % 203.01/203.96 (assume @p42 (forall (@list @t139 @t137 @t138 @t136) (=> (and (tptp.occurrence_of @t139 @t136) (tptp.leaf_occ @t137 @t139) (tptp.root_occ @t138 @t139) (not (= @t137 @t138))) (tptp.min_precedes @t138 @t137 @t136)))) % 203.01/203.96 (assume @p43 (forall (@list @t142 @t143 @t140 @t141) (=> (and (tptp.occurrence_of @t143 @t142) (tptp.subactivity_occurrence @t140 @t143) (tptp.root_occ @t141 @t143) (tptp.arboreal @t140) (not (tptp.min_precedes @t141 @t140 @t142))) (= @t141 @t140)))) % 203.01/203.96 (assume @p44 (forall (@list @t146 @t147 @t144 @t145) (=> (and (tptp.occurrence_of @t147 @t146) (tptp.subactivity_occurrence @t144 @t147) (tptp.leaf_occ @t145 @t147) (tptp.arboreal @t144) (not (tptp.min_precedes @t144 @t145 @t146))) (= @t145 @t144)))) % 203.01/203.96 (assume @p45 (forall (@list @t149 @t148 @t150) (=> (tptp.next_subocc @t149 @t148 @t150) (and (tptp.arboreal @t149) (tptp.arboreal @t148))))) % 203.01/203.96 (assume @p46 (forall (@list @t152 @t153) (=> (and (tptp.leaf @t152 @t153) (not (tptp.atomic @t153))) (exists (@list @t151) (and (tptp.occurrence_of @t151 @t153) (tptp.leaf_occ @t152 @t151)))))) % 203.01/203.96 (assume @p47 @t160) % 203.01/203.96 (assume @p48 (forall (@list @t161 @t165 @t162 @t163 @t164) (=> (and (tptp.occurrence_of @t165 @t161) (tptp.root_occ @t163 @t165) (tptp.leaf_occ @t164 @t165) (tptp.subactivity_occurrence @t162 @t165) (tptp.min_precedes @t162 @t164 @t161) (not (= @t162 @t163))) (tptp.min_precedes @t163 @t162 @t161)))) % 203.01/203.96 (assume @p49 (forall (@list @t166 @t170 @t168 @t169 @t167) (=> (and (tptp.occurrence_of @t170 @t166) (tptp.root_occ @t169 @t170) (tptp.leaf_occ @t167 @t170) (tptp.subactivity_occurrence @t168 @t170) (tptp.min_precedes @t169 @t168 @t166) (not (= @t168 @t167))) (tptp.min_precedes @t168 @t167 @t166)))) % 203.01/203.96 (assume @p50 @t190) % 203.01/203.96 (assume @p51 (tptp.activity tptp.tptp0)) % 203.01/203.96 (assume @p52 (not @t191)) % 203.01/203.96 (assume @p53 (tptp.atomic tptp.tptp4)) % 203.01/203.96 (assume @p54 (tptp.atomic tptp.tptp1)) % 203.01/203.96 (assume @p55 (tptp.atomic tptp.tptp2)) % 203.01/203.96 (assume @p56 (tptp.atomic tptp.tptp3)) % 203.01/203.96 (assume @p57 (not (= tptp.tptp4 tptp.tptp3))) % 203.01/203.96 (assume @p58 (not (= tptp.tptp4 tptp.tptp1))) % 203.01/203.96 (assume @p59 (not (= tptp.tptp4 tptp.tptp2))) % 203.01/203.96 (assume @p60 (not (= tptp.tptp3 tptp.tptp1))) % 203.01/203.96 (assume @p61 (not (= tptp.tptp3 tptp.tptp2))) % 203.01/203.96 (assume @p62 (not (= tptp.tptp1 tptp.tptp2))) % 203.01/203.96 (assume @p63 @t221) % 203.01/203.96 (assume @p64 true) % 203.01/203.96 ; WARNING: add trust step for TRUST % 203.01/203.96 ; trust TRUST PREPROCESS_SORT_INFER % 203.01/203.96 (step @p65 :rule trust :premises () :args ((= (forall @t159 (or (not @t158) @t155)) @t226))) % 203.01/203.96 (step @p66 :rule bool-impl-elim :args (@t158 @t155)) % 203.01/203.96 (step @p67 :rule cong :premises (@p66) :args (@t160)) % 203.01/203.96 (step @p68 :rule trans :premises (@p67 @p65)) % 203.01/203.96 (step @p69 :rule eq_resolve :premises (@p47 @p68)) % 203.01/203.96 ; trust TRUST PREPROCESS_SORT_INFER % 203.01/203.96 (step @p70 :rule trust :premises () :args ((= (not (forall @t219 (or (not @t217) @t245))) (not @t241)))) % 203.01/203.96 (step @p71 :rule bool-impl-elim :args (@t217 @t245)) % 203.01/203.96 (step @p72 :rule cong :premises (@p71) :args ((forall @t219 (=> @t217 @t245)))) % 203.01/203.96 (step @p73 :rule bool-implies-de-morgan :args (@t201 @t242)) % 203.01/203.96 (step @p74 :rule bool-implies-de-morgan :args (@t210 @t243)) % 203.01/203.96 (step @p75 :rule refl :args (@t244)) % 203.01/203.96 (step @p76 :rule nary_cong :premises (@p75 @p74 @p73) :args (@t250)) % 203.01/203.96 (step @p77 :rule aci_norm :args ((= (or @t244 (or @t249 @t247)) @t250))) % 203.01/203.96 (step @p78 :rule bool-and-de-morgan :args (@t248 @t246 true)) % 203.01/203.96 (step @p79 :rule nary_cong :premises (@p75 @p78) :args ((or @t244 (not (and @t248 @t246))))) % 203.01/203.96 (step @p80 :rule bool-and-de-morgan :args (@t213 @t248 (and @t246))) % 203.01/203.96 (step @p81 :rule trans :premises (@p80 @p79)) % 203.01/203.96 (step @p82 :rule trans :premises (@p81 @p77)) % 203.01/203.96 (step @p83 :rule trans :premises (@p82 @p76)) % 203.01/203.96 (step @p84 :rule cong :premises (@p83) :args (@t252)) % 203.01/203.96 (step @p85 :rule cong :premises (@p84) :args (@t253)) % 203.01/203.96 (step @p86 :rule exists-elim :args ((= (exists @t215 @t251) @t253))) % 203.01/203.96 (step @p87 :rule trans :premises (@p86 @p85)) % 203.01/203.96 (step @p88 :rule bool-double-not-elim :args (@t242)) % 203.01/203.96 (step @p89 :rule bool-and-de-morgan :args (@t195 @t194 true)) % 203.01/203.96 (step @p90 :rule cong :premises (@p89) :args (@t254)) % 203.01/203.96 (step @p91 :rule cong :premises (@p90) :args (@t255)) % 203.01/203.96 (step @p92 :rule exists-elim :args ((= @t198 @t255))) % 203.01/203.96 (step @p93 :rule trans :premises (@p92 @p91)) % 203.01/203.96 (step @p94 :rule cong :premises (@p93) :args (@t199)) % 203.01/203.96 (step @p95 :rule trans :premises (@p94 @p88)) % 203.01/203.96 (step @p96 :rule refl :args (@t201)) % 203.01/203.96 (step @p97 :rule cong :premises (@p96 @p95) :args (@t202)) % 203.01/203.96 (step @p98 :rule bool-double-not-elim :args (@t243)) % 203.01/203.96 (step @p99 :rule bool-and-de-morgan :args (@t205 @t204 true)) % 203.01/203.96 (step @p100 :rule cong :premises (@p99) :args (@t256)) % 203.01/203.96 (step @p101 :rule cong :premises (@p100) :args (@t257)) % 203.01/203.96 (step @p102 :rule exists-elim :args ((= @t208 @t257))) % 203.01/203.96 (step @p103 :rule trans :premises (@p102 @p101)) % 203.01/203.96 (step @p104 :rule cong :premises (@p103) :args (@t209)) % 203.01/203.96 (step @p105 :rule trans :premises (@p104 @p98)) % 203.01/203.96 (step @p106 :rule refl :args (@t210)) % 203.01/203.96 (step @p107 :rule cong :premises (@p106 @p105) :args (@t211)) % 203.01/203.96 (step @p108 :rule refl :args (@t213)) % 203.01/203.96 (step @p109 :rule nary_cong :premises (@p108 @p107 @p97) :args (@t214)) % 203.01/203.96 (step @p110 :rule cong :premises (@p109) :args (@t216)) % 203.01/203.96 (step @p111 :rule trans :premises (@p110 @p87)) % 203.01/203.96 (step @p112 :rule refl :args (@t217)) % 203.01/203.96 (step @p113 :rule cong :premises (@p112 @p111) :args (@t218)) % 203.01/203.96 (step @p114 :rule cong :premises (@p113) :args (@t220)) % 203.01/203.96 (step @p115 :rule trans :premises (@p114 @p72)) % 203.01/203.96 (step @p116 :rule cong :premises (@p115) :args (@t221)) % 203.01/203.96 (step @p117 :rule trans :premises (@p116 @p70)) % 203.01/203.96 (step @p118 :rule eq_resolve :premises (@p63 @p117)) % 203.01/203.96 (step @p119 :rule skolemize :premises (@p118)) % 203.01/203.96 (step @p120 :rule bool-double-not-elim :args (@t259)) % 203.01/203.96 (step @p121 :rule refl :args (@t263)) % 203.01/203.96 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t263 (not @t260)))) % 203.01/203.96 (step @p123 :rule cnf_or_neg :args (@t263 1)) % 203.01/203.96 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 203.01/203.96 (step @p125 :rule reordering :premises (@p124) :args ((or @t259 @t263))) % 203.01/203.96 (step @p126 :rule chain_m_resolution :premises (@p125 @p119) :args (@t259 @t264 @t265)) % 203.01/203.96 (step @p127 :rule instantiate :premises (@p126) :args ((@list @t258 @t278))) % 203.01/203.96 (step @p128 :rule instantiate :premises (@p69) :args ((@list @t258 @t280 tptp.tptp0))) % 203.01/203.96 ; trust TRUST PREPROCESS_SORT_INFER % 203.01/203.96 (step @p129 :rule trust :premises () :args ((= (forall @t22 (or (not @t21) @t20)) (forall (@list @t281 @t17) (or (not (_ @t229 @t281 @t17)) (= @t18 (_ @t223 @t281))))))) % 203.01/203.96 (step @p130 :rule bool-impl-elim :args (@t21 @t20)) % 203.01/203.96 (step @p131 :rule cong :premises (@p130) :args (@t23)) % 203.01/203.96 (step @p132 :rule trans :premises (@p131 @p129)) % 203.01/203.96 (step @p133 :rule eq_resolve :premises (@p8 @p132)) % 203.01/203.96 (step @p134 :rule instantiate :premises (@p133) :args ((@list @t258 tptp.tptp0))) % 203.01/203.96 (step @p135 :rule bool-double-not-elim :args (@t261)) % 203.01/203.96 (step @p136 :rule nary_cong :premises (@p121 @p135) :args ((or @t263 (not @t262)))) % 203.01/203.96 (step @p137 :rule cnf_or_neg :args (@t263 0)) % 203.01/203.96 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 203.01/203.96 (step @p139 :rule reordering :premises (@p138) :args ((or @t261 @t263))) % 203.01/203.96 (step @p140 :rule chain_m_resolution :premises (@p139 @p119) :args (@t261 @t264 @t265)) % 203.01/203.96 (step @p141 :rule cnf_or_pos :args (@t284)) % 203.01/203.96 (step @p142 :rule reordering :premises (@p141) :args ((or @t262 @t283 (not @t284)))) % 203.01/203.96 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p134) :args (@t283 @t285 (@list @t261 @t284))) % 203.01/203.96 (step @p144 :rule cnf_equiv_pos2 :args (@t283)) % 203.01/203.96 (step @p145 :rule reordering :premises (@p144) :args ((or @t191 @t286 (not @t283)))) % 203.01/203.96 (step @p146 :rule chain_m_resolution :premises (@p145 @p52 @p143) :args (@t286 @t287 (@list @t191 @t283))) % 203.01/203.96 (step @p147 :rule cnf_or_pos :args (@t290)) % 203.01/203.96 (step @p148 :rule reordering :premises (@p147) :args ((or @t282 @t289 (not @t290)))) % 203.01/203.96 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p128) :args (@t289 @t287 (@list @t282 @t290))) % 203.01/203.96 (step @p150 :rule bool-double-not-elim :args (@t288)) % 203.01/203.96 (step @p151 :rule refl :args (@t291)) % 203.01/203.96 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t291 (not @t289)))) % 203.01/203.96 (step @p153 :rule cnf_or_neg :args (@t291 1)) % 203.01/203.96 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 203.01/203.96 (step @p155 :rule reordering :premises (@p154) :args ((or @t288 @t291))) % 203.01/203.96 (step @p156 :rule chain_m_resolution :premises (@p155 @p149) :args (@t291 @t264 (@list @t288))) % 203.01/203.96 (step @p157 :rule refl :args (@t292)) % 203.01/203.96 (step @p158 :rule bool-double-not-elim :args (@t279)) % 203.01/203.96 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or (not @t293) @t292))) % 203.01/203.96 (assume-push @p255 @t293) % 203.01/203.96 (step @p161 :rule skolemize :premises (@p255)) % 203.01/203.96 (step-pop @p256 :rule scope :premises (@p161)) % 203.01/203.96 (step @p162 :rule process_scope :premises (@p256) :args (@t292)) % 203.01/203.96 (step @p164 :rule implies_elim :premises (@p162)) % 203.01/203.96 (step @p165 :rule eq_resolve :premises (@p164 @p159)) % 203.01/203.96 (step @p166 :rule chain_m_resolution :premises (@p165 @p156) :args (@t279 @t294 (@list @t291))) % 203.01/203.96 (step @p167 :rule cnf_and_pos :args (@t296 1)) % 203.01/203.96 (step @p168 :rule reordering :premises (@p167) :args ((or @t293 @t297))) % 203.01/203.96 (step @p169 :rule chain_m_resolution :premises (@p168 @p166) :args (@t297 @t294 (@list @t279))) % 203.01/203.96 ; trust TRUST PREPROCESS_SORT_INFER % 203.01/203.96 (step @p170 :rule trust :premises () :args ((= (forall @t189 (or (not @t187) @t305)) (forall (@list @t298) (or (not (_ @t229 @t298 tptp.tptp0)) (not (forall @t276 (or @t275 (not (_ @t274 @t271 @t298)) @t273 @t272 @t270 @t269 (not (_ @t239 @t266 @t298)))))))))) % 203.01/203.96 (step @p171 :rule bool-impl-elim :args (@t187 @t305)) % 203.01/203.96 (step @p172 :rule cong :premises (@p171) :args ((forall @t189 (=> @t187 @t305)))) % 203.01/203.96 (step @p173 :rule refl :args (@t299)) % 203.01/203.96 (step @p174 :rule refl :args (@t300)) % 203.01/203.96 (step @p175 :rule bool-or-de-morgan :args (@t177 @t176 false)) % 203.01/203.96 (step @p176 :rule refl :args (@t301)) % 203.01/203.96 (step @p177 :rule refl :args (@t302)) % 203.01/203.96 (step @p178 :rule refl :args (@t303)) % 203.01/203.96 (step @p179 :rule refl :args (@t304)) % 203.01/203.96 (step @p180 :rule nary_cong :premises (@p179 @p178 @p177 @p176 @p175 @p174 @p173) :args (@t307)) % 203.01/203.96 (step @p181 :rule aci_norm :args ((= (or @t304 (or @t303 (or @t302 (or @t301 (or @t306 (or @t300 @t299)))))) @t307))) % 203.01/203.96 (step @p182 :rule bool-and-de-morgan :args (@t175 @t173 true)) % 203.01/203.96 (step @p183 :rule refl :args (@t306)) % 203.01/203.96 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t306 (not (and @t175 @t173))))) % 203.01/203.96 (step @p185 :rule bool-and-de-morgan :args (@t178 @t175 (and @t173))) % 203.01/203.96 (step @p186 :rule trans :premises (@p185 @p184)) % 203.01/203.96 (step @p187 :rule nary_cong :premises (@p176 @p186) :args ((or @t301 (not (and @t178 @t175 @t173))))) % 203.01/203.96 (step @p188 :rule bool-and-de-morgan :args (@t180 @t178 (and @t175 @t173))) % 203.01/203.96 (step @p189 :rule trans :premises (@p188 @p187)) % 203.01/203.96 (step @p190 :rule nary_cong :premises (@p177 @p189) :args ((or @t302 (not (and @t180 @t178 @t175 @t173))))) % 203.01/203.96 (step @p191 :rule bool-and-de-morgan :args (@t181 @t180 (and @t178 @t175 @t173))) % 203.01/203.96 (step @p192 :rule trans :premises (@p191 @p190)) % 203.01/203.96 (step @p193 :rule nary_cong :premises (@p178 @p192) :args ((or @t303 (not (and @t181 @t180 @t178 @t175 @t173))))) % 203.01/203.96 (step @p194 :rule bool-and-de-morgan :args (@t182 @t181 (and @t180 @t178 @t175 @t173))) % 203.01/203.96 (step @p195 :rule trans :premises (@p194 @p193)) % 203.01/203.96 (step @p196 :rule nary_cong :premises (@p179 @p195) :args ((or @t304 (not (and @t182 @t181 @t180 @t178 @t175 @t173))))) % 203.01/203.96 (step @p197 :rule bool-and-de-morgan :args (@t183 @t182 (and @t181 @t180 @t178 @t175 @t173))) % 203.01/203.96 (step @p198 :rule trans :premises (@p197 @p196)) % 203.01/203.96 (step @p199 :rule trans :premises (@p198 @p181)) % 203.01/203.96 (step @p200 :rule trans :premises (@p199 @p180)) % 203.01/203.96 (step @p201 :rule cong :premises (@p200) :args (@t308)) % 203.01/203.96 (step @p202 :rule cong :premises (@p201) :args (@t309)) % 203.01/203.96 (step @p203 :rule exists-elim :args ((= @t186 @t309))) % 203.01/203.96 (step @p204 :rule trans :premises (@p203 @p202)) % 203.01/203.96 (step @p205 :rule refl :args (@t187)) % 203.01/203.96 (step @p206 :rule cong :premises (@p205 @p204) :args (@t188)) % 203.01/203.96 (step @p207 :rule cong :premises (@p206) :args (@t190)) % 203.01/203.96 (step @p208 :rule trans :premises (@p207 @p172)) % 203.01/203.96 (step @p209 :rule trans :premises (@p208 @p170)) % 203.01/203.96 (step @p210 :rule eq_resolve :premises (@p50 @p209)) % 203.01/203.96 (step @p211 :rule instantiate :premises (@p210) :args ((@list @t258))) % 203.01/203.96 (step @p212 :rule cnf_or_pos :args (@t311)) % 203.01/203.96 (step @p213 :rule reordering :premises (@p212) :args ((or @t262 @t310 (not @t311)))) % 203.01/203.96 (step @p214 :rule chain_m_resolution :premises (@p213 @p140 @p211) :args (@t310 @t285 (@list @t261 @t311))) % 203.01/203.96 (step @p215 :rule skolemize :premises (@p214)) % 203.01/203.96 (step @p216 :rule bool-double-not-elim :args (@t312)) % 203.01/203.96 (step @p217 :rule refl :args (@t317)) % 203.01/203.96 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or @t317 (not @t313)))) % 203.01/203.96 (step @p219 :rule cnf_or_neg :args (@t317 6)) % 203.01/203.96 (step @p220 :rule eq_resolve :premises (@p219 @p218)) % 203.01/203.96 (step @p221 :rule reordering :premises (@p220) :args ((or @t312 @t317))) % 203.01/203.96 (step @p222 :rule chain_m_resolution :premises (@p221 @p215) :args (@t312 @t264 (@list @t317))) % 203.01/203.96 (step @p223 :rule cnf_or_pos :args (@t321)) % 203.01/203.96 (step @p224 :rule reordering :premises (@p223) :args ((or @t313 @t296 @t320 (not @t321)))) % 203.01/203.96 (step @p225 :rule chain_m_resolution :premises (@p224 @p222 @p169 @p127) :args (@t320 (@list false true false) (@list @t312 @t296 @t321))) % 203.01/203.96 (step @p226 :rule cnf_and_pos :args (@t320 1)) % 203.01/203.96 (step @p227 :rule reordering :premises (@p226) :args ((or @t319 (not @t320)))) % 203.01/203.96 (step @p228 :rule chain_m_resolution :premises (@p227 @p225) :args (@t319 @t294 (@list @t320))) % 203.01/203.96 (step @p229 :rule refl :args (@t326)) % 203.01/203.96 (step @p230 :rule bool-double-not-elim :args (@t318)) % 203.01/203.96 (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((or (not @t319) @t326))) % 203.01/203.96 (assume-push @p257 @t319) % 203.01/203.96 (step @p233 :rule skolemize :premises (@p257)) % 203.01/203.96 (step-pop @p258 :rule scope :premises (@p233)) % 203.01/203.96 (step @p234 :rule process_scope :premises (@p258) :args (@t326)) % 203.01/203.96 (step @p236 :rule implies_elim :premises (@p234)) % 203.01/203.96 (step @p237 :rule eq_resolve :premises (@p236 @p231)) % 203.01/203.96 (step @p238 :rule chain_m_resolution :premises (@p237 @p228) :args (@t326 @t264 (@list @t318))) % 203.01/203.96 (step @p239 :rule bool-double-not-elim :args (@t323)) % 203.01/203.96 (step @p240 :rule refl :args (@t325)) % 203.01/203.96 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or @t325 (not @t324)))) % 203.01/203.96 (step @p242 :rule cnf_or_neg :args (@t325 1)) % 203.01/203.96 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 203.01/203.96 (step @p244 :rule reordering :premises (@p243) :args ((or @t323 @t325))) % 203.01/203.96 (step @p245 :rule chain_m_resolution :premises (@p244 @p238) :args (@t323 @t264 (@list @t325))) % 203.01/203.96 (step @p246 :rule cnf_or_pos :args (@t327)) % 203.01/203.96 (step @p247 :rule reordering :premises (@p246) :args ((or @t282 @t324 @t328))) % 203.01/203.96 (step @p248 :rule chain_m_resolution :premises (@p247 @p146 @p245) :args (@t328 @t287 (@list @t282 @t323))) % 203.01/203.96 (assume-push @p259 @t226) % 203.01/203.96 (step @p250 :rule instantiate :premises (@p69) :args ((@list @t258 @t322 tptp.tptp0))) % 203.01/203.96 (step-pop @p260 :rule scope :premises (@p250)) % 203.01/203.96 (step @p251 :rule process_scope :premises (@p260) :args (@t327)) % 203.01/203.96 (step @p253 :rule implies_elim :premises (@p251)) % 203.01/203.96 (step @p254 false :rule chain_m_resolution :premises (@p253 @p248 @p69) :args (false @t287 (@list @t327 @t226))) % 203.01/203.96 ) % 203.01/203.96 % SZS output end Proof % 203.01/203.96 % cvc5 exiting %------------------------------------------------------------------------------