%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PRO012+1 : 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 : n026.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 08:43:44 AM UTC 2026 % Result : Theorem 34.21s 35.02s % Output : Proof 34.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PRO012+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 13:08:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 34.21/35.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.21/35.02 --- Run --no-e-matching --full-saturate-quant at 6... % 34.21/35.02 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.21/35.02 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.21/35.02 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.21/35.02 % SZS status Theorem % 34.21/35.02 % SZS output start Proof % 34.21/35.02 ( % 34.21/35.02 (declare-sort $$unsorted 0) % 34.21/35.02 (declare-const tptp.tptp4 $$unsorted) % 34.21/35.02 (declare-const tptp.tptp2 $$unsorted) % 34.21/35.02 (declare-const tptp.tptp1 $$unsorted) % 34.21/35.02 (declare-const tptp.tptp0 $$unsorted) % 34.21/35.02 (declare-const tptp.tptp3 $$unsorted) % 34.21/35.02 (declare-const tptp.root_occ (-> $$unsorted $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.subactivity_occurrence (-> $$unsorted $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.activity_occurrence (-> $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.leaf_occ (-> $$unsorted $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.subactivity (-> $$unsorted $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.arboreal (-> $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.atocc (-> $$unsorted $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.next_subocc (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.activity (-> $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.min_precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.occurrence_of (-> $$unsorted $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.earlier (-> $$unsorted $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.atomic (-> $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.legal (-> $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.precedes (-> $$unsorted $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.root (-> $$unsorted $$unsorted Bool)) % 34.21/35.02 (declare-const tptp.leaf (-> $$unsorted $$unsorted Bool)) % 34.21/35.02 (define @t1 () (@var "X1" $$unsorted)) % 34.21/35.02 (define @t2 () (@var "X0" $$unsorted)) % 34.21/35.02 (define @t3 () (@var "X3" $$unsorted)) % 34.21/35.02 (define @t4 () (@var "X2" $$unsorted)) % 34.21/35.02 (define @t5 () (@var "X6" $$unsorted)) % 34.21/35.02 (define @t6 () (@var "X5" $$unsorted)) % 34.21/35.02 (define @t7 () (= @t6 @t5)) % 34.21/35.02 (define @t8 () (@var "X4" $$unsorted)) % 34.21/35.02 (define @t9 () (tptp.occurrence_of @t8 @t5)) % 34.21/35.02 (define @t10 () (tptp.occurrence_of @t8 @t6)) % 34.21/35.02 (define @t11 () (and @t10 @t9)) % 34.21/35.02 (define @t12 () (forall (@list @t8 @t6 @t5) (=> @t11 @t7))) % 34.21/35.02 (define @t13 () (@var "X7" $$unsorted)) % 34.21/35.02 (define @t14 () (@var "X8" $$unsorted)) % 34.21/35.02 (define @t15 () (@var "X9" $$unsorted)) % 34.21/35.02 (define @t16 () (not (tptp.earlier @t15 @t14))) % 34.21/35.02 (define @t17 () (tptp.earlier @t14 @t15)) % 34.21/35.02 (define @t18 () (forall (@list @t14 @t15) (=> @t17 @t16))) % 34.21/35.02 (define @t19 () (@var "X12" $$unsorted)) % 34.21/35.02 (define @t20 () (@var "X10" $$unsorted)) % 34.21/35.02 (define @t21 () (@var "X11" $$unsorted)) % 34.21/35.02 (define @t22 () (@var "X15" $$unsorted)) % 34.21/35.02 (define @t23 () (@var "X13" $$unsorted)) % 34.21/35.02 (define @t24 () (@var "X14" $$unsorted)) % 34.21/35.02 (define @t25 () (@var "X17" $$unsorted)) % 34.21/35.02 (define @t26 () (@var "X16" $$unsorted)) % 34.21/35.02 (define @t27 () (= (tptp.arboreal @t26) (tptp.atomic @t25))) % 34.21/35.02 (define @t28 () (tptp.occurrence_of @t26 @t25)) % 34.21/35.02 (define @t29 () (@list @t26 @t25)) % 34.21/35.02 (define @t30 () (forall @t29 (=> @t28 @t27))) % 34.21/35.02 (define @t31 () (@var "X18" $$unsorted)) % 34.21/35.02 (define @t32 () (@var "X20" $$unsorted)) % 34.21/35.02 (define @t33 () (@var "X19" $$unsorted)) % 34.21/35.02 (define @t34 () (@var "X22" $$unsorted)) % 34.21/35.02 (define @t35 () (@var "X21" $$unsorted)) % 34.21/35.02 (define @t36 () (@var "X27" $$unsorted)) % 34.21/35.02 (define @t37 () (@var "X25" $$unsorted)) % 34.21/35.02 (define @t38 () (@var "X26" $$unsorted)) % 34.21/35.02 (define @t39 () (@var "X24" $$unsorted)) % 34.21/35.02 (define @t40 () (@var "X23" $$unsorted)) % 34.21/35.02 (define @t41 () (@var "X30" $$unsorted)) % 34.21/35.02 (define @t42 () (@var "X29" $$unsorted)) % 34.21/35.02 (define @t43 () (@var "X28" $$unsorted)) % 34.21/35.02 (define @t44 () (@var "X33" $$unsorted)) % 34.21/35.02 (define @t45 () (@var "X32" $$unsorted)) % 34.21/35.02 (define @t46 () (@var "X34" $$unsorted)) % 34.21/35.02 (define @t47 () (@var "X31" $$unsorted)) % 34.21/35.02 (define @t48 () (@var "X37" $$unsorted)) % 34.21/35.02 (define @t49 () (@var "X36" $$unsorted)) % 34.21/35.02 (define @t50 () (not (tptp.root @t49 @t48))) % 34.21/35.02 (define @t51 () (@var "X35" $$unsorted)) % 34.21/35.02 (define @t52 () (tptp.min_precedes @t51 @t49 @t48)) % 34.21/35.02 (define @t53 () (forall (@list @t51 @t49 @t48) (=> @t52 @t50))) % 34.21/35.02 (define @t54 () (@var "X39" $$unsorted)) % 34.21/35.02 (define @t55 () (@var "X38" $$unsorted)) % 34.21/35.02 (define @t56 () (tptp.precedes @t55 @t54)) % 34.21/35.02 (define @t57 () (@var "X40" $$unsorted)) % 34.21/35.02 (define @t58 () (tptp.min_precedes @t55 @t54 @t57)) % 34.21/35.02 (define @t59 () (forall (@list @t55 @t54 @t57) (=> @t58 @t56))) % 34.21/35.02 (define @t60 () (@var "X41" $$unsorted)) % 34.21/35.02 (define @t61 () (@var "X42" $$unsorted)) % 34.21/35.02 (define @t62 () (@var "X44" $$unsorted)) % 34.21/35.02 (define @t63 () (@var "X43" $$unsorted)) % 34.21/35.02 (define @t64 () (@var "X48" $$unsorted)) % 34.21/35.02 (define @t65 () (@var "X47" $$unsorted)) % 34.21/35.02 (define @t66 () (@var "X46" $$unsorted)) % 34.21/35.02 (define @t67 () (@var "X45" $$unsorted)) % 34.21/35.02 (define @t68 () (@var "X51" $$unsorted)) % 34.21/35.02 (define @t69 () (@var "X50" $$unsorted)) % 34.21/35.02 (define @t70 () (@var "X49" $$unsorted)) % 34.21/35.02 (define @t71 () (@var "X55" $$unsorted)) % 34.21/35.02 (define @t72 () (@var "X54" $$unsorted)) % 34.21/35.02 (define @t73 () (@var "X53" $$unsorted)) % 34.21/35.02 (define @t74 () (@var "X52" $$unsorted)) % 34.21/35.02 (define @t75 () (@var "X57" $$unsorted)) % 34.21/35.02 (define @t76 () (@var "X59" $$unsorted)) % 34.21/35.02 (define @t77 () (@var "X56" $$unsorted)) % 34.21/35.02 (define @t78 () (@var "X58" $$unsorted)) % 34.21/35.02 (define @t79 () (@var "X62" $$unsorted)) % 34.21/35.02 (define @t80 () (@var "X61" $$unsorted)) % 34.21/35.02 (define @t81 () (@var "X63" $$unsorted)) % 34.21/35.02 (define @t82 () (@var "X60" $$unsorted)) % 34.21/35.02 (define @t83 () (@var "X66" $$unsorted)) % 34.21/35.02 (define @t84 () (@var "X64" $$unsorted)) % 34.21/35.02 (define @t85 () (@var "X65" $$unsorted)) % 34.21/35.02 (define @t86 () (@var "X68" $$unsorted)) % 34.21/35.02 (define @t87 () (@var "X67" $$unsorted)) % 34.21/35.02 (define @t88 () (@var "X72" $$unsorted)) % 34.21/35.02 (define @t89 () (@var "X71" $$unsorted)) % 34.21/35.02 (define @t90 () (tptp.subactivity_occurrence @t89 @t88)) % 34.21/35.02 (define @t91 () (@var "X70" $$unsorted)) % 34.21/35.02 (define @t92 () (tptp.subactivity_occurrence @t91 @t88)) % 34.21/35.02 (define @t93 () (@var "X69" $$unsorted)) % 34.21/35.02 (define @t94 () (tptp.occurrence_of @t88 @t93)) % 34.21/35.02 (define @t95 () (and @t94 @t92 @t90)) % 34.21/35.02 (define @t96 () (@list @t88)) % 34.21/35.02 (define @t97 () (exists @t96 @t95)) % 34.21/35.02 (define @t98 () (tptp.min_precedes @t91 @t89 @t93)) % 34.21/35.02 (define @t99 () (=> @t98 @t97)) % 34.21/35.02 (define @t100 () (@list @t93 @t91 @t89)) % 34.21/35.02 (define @t101 () (forall @t100 @t99)) % 34.21/35.02 (define @t102 () (@var "X75" $$unsorted)) % 34.21/35.02 (define @t103 () (@var "X74" $$unsorted)) % 34.21/35.02 (define @t104 () (@var "X73" $$unsorted)) % 34.21/35.02 (define @t105 () (@var "X77" $$unsorted)) % 34.21/35.02 (define @t106 () (@var "X78" $$unsorted)) % 34.21/35.02 (define @t107 () (@var "X76" $$unsorted)) % 34.21/35.02 (define @t108 () (@var "X82" $$unsorted)) % 34.21/35.02 (define @t109 () (@var "X81" $$unsorted)) % 34.21/35.02 (define @t110 () (= @t109 @t108)) % 34.21/35.02 (define @t111 () (@var "X79" $$unsorted)) % 34.21/35.02 (define @t112 () (tptp.min_precedes @t108 @t109 @t111)) % 34.21/35.02 (define @t113 () (tptp.min_precedes @t109 @t108 @t111)) % 34.21/35.02 (define @t114 () (or @t113 @t112 @t110)) % 34.21/35.02 (define @t115 () (@var "X80" $$unsorted)) % 34.21/35.02 (define @t116 () (tptp.subactivity_occurrence @t108 @t115)) % 34.21/35.02 (define @t117 () (tptp.subactivity_occurrence @t109 @t115)) % 34.21/35.02 (define @t118 () (tptp.arboreal @t108)) % 34.21/35.02 (define @t119 () (tptp.arboreal @t109)) % 34.21/35.02 (define @t120 () (tptp.occurrence_of @t115 @t111)) % 34.21/35.02 (define @t121 () (and @t120 @t119 @t118 @t117 @t116)) % 34.21/35.02 (define @t122 () (forall (@list @t111 @t115 @t109 @t108) (=> @t121 @t114))) % 34.21/35.02 (define @t123 () (@var "X86" $$unsorted)) % 34.21/35.02 (define @t124 () (@var "X83" $$unsorted)) % 34.21/35.02 (define @t125 () (tptp.subactivity_occurrence @t124 @t123)) % 34.21/35.02 (define @t126 () (@var "X84" $$unsorted)) % 34.21/35.02 (define @t127 () (tptp.subactivity_occurrence @t126 @t123)) % 34.21/35.02 (define @t128 () (@var "X85" $$unsorted)) % 34.21/35.02 (define @t129 () (tptp.occurrence_of @t123 @t128)) % 34.21/35.02 (define @t130 () (tptp.min_precedes @t124 @t126 @t128)) % 34.21/35.02 (define @t131 () (and @t130 @t129 @t127)) % 34.21/35.02 (define @t132 () (forall (@list @t124 @t126 @t128 @t123) (=> @t131 @t125))) % 34.21/35.02 (define @t133 () (@var "X88" $$unsorted)) % 34.21/35.02 (define @t134 () (@var "X87" $$unsorted)) % 34.21/35.02 (define @t135 () (@var "X90" $$unsorted)) % 34.21/35.02 (define @t136 () (@var "X89" $$unsorted)) % 34.21/35.02 (define @t137 () (@var "X93" $$unsorted)) % 34.21/35.02 (define @t138 () (@var "X91" $$unsorted)) % 34.21/35.02 (define @t139 () (@var "X92" $$unsorted)) % 34.21/35.02 (define @t140 () (@var "X96" $$unsorted)) % 34.21/35.02 (define @t141 () (@var "X98" $$unsorted)) % 34.21/35.02 (define @t142 () (@var "X97" $$unsorted)) % 34.21/35.02 (define @t143 () (@var "X95" $$unsorted)) % 34.21/35.02 (define @t144 () (@var "X94" $$unsorted)) % 34.21/35.02 (define @t145 () (@var "X101" $$unsorted)) % 34.21/35.02 (define @t146 () (@var "X99" $$unsorted)) % 34.21/35.02 (define @t147 () (tptp.root @t146 @t145)) % 34.21/35.02 (define @t148 () (@var "X100" $$unsorted)) % 34.21/35.02 (define @t149 () (tptp.subactivity_occurrence @t146 @t148)) % 34.21/35.02 (define @t150 () (tptp.occurrence_of @t148 @t145)) % 34.21/35.02 (define @t151 () (and @t150 @t149 @t147)) % 34.21/35.02 (define @t152 () (@list @t145)) % 34.21/35.02 (define @t153 () (exists @t152 @t151)) % 34.21/35.02 (define @t154 () (tptp.root_occ @t146 @t148)) % 34.21/35.02 (define @t155 () (= @t154 @t153)) % 34.21/35.02 (define @t156 () (@list @t146 @t148)) % 34.21/35.02 (define @t157 () (forall @t156 @t155)) % 34.21/35.02 (define @t158 () (@var "X104" $$unsorted)) % 34.21/35.02 (define @t159 () (@var "X102" $$unsorted)) % 34.21/35.02 (define @t160 () (@var "X103" $$unsorted)) % 34.21/35.02 (define @t161 () (@var "X108" $$unsorted)) % 34.21/35.02 (define @t162 () (@var "X109" $$unsorted)) % 34.21/35.02 (define @t163 () (@var "X107" $$unsorted)) % 34.21/35.02 (define @t164 () (or (= @t162 @t163) (= @t162 @t161))) % 34.21/35.02 (define @t165 () (@var "X106" $$unsorted)) % 34.21/35.02 (define @t166 () (tptp.min_precedes @t165 @t162 tptp.tptp0)) % 34.21/35.02 (define @t167 () (=> @t166 @t164)) % 34.21/35.02 (define @t168 () (@list @t162)) % 34.21/35.02 (define @t169 () (forall @t168 @t167)) % 34.21/35.02 (define @t170 () (tptp.min_precedes @t163 @t161 tptp.tptp0)) % 34.21/35.02 (define @t171 () (tptp.occurrence_of @t161 tptp.tptp1)) % 34.21/35.02 (define @t172 () (tptp.occurrence_of @t161 tptp.tptp2)) % 34.21/35.02 (define @t173 () (or @t172 @t171)) % 34.21/35.02 (define @t174 () (tptp.min_precedes @t165 @t163 tptp.tptp0)) % 34.21/35.02 (define @t175 () (tptp.occurrence_of @t163 tptp.tptp4)) % 34.21/35.02 (define @t176 () (@var "X105" $$unsorted)) % 34.21/35.02 (define @t177 () (tptp.root_occ @t165 @t176)) % 34.21/35.02 (define @t178 () (tptp.occurrence_of @t165 tptp.tptp3)) % 34.21/35.02 (define @t179 () (and @t178 @t177 @t175 @t174 @t173 @t170 @t169)) % 34.21/35.02 (define @t180 () (@list @t165 @t163 @t161)) % 34.21/35.02 (define @t181 () (exists @t180 @t179)) % 34.21/35.02 (define @t182 () (tptp.occurrence_of @t176 tptp.tptp0)) % 34.21/35.02 (define @t183 () (=> @t182 @t181)) % 34.21/35.02 (define @t184 () (@list @t176)) % 34.21/35.02 (define @t185 () (forall @t184 @t183)) % 34.21/35.02 (define @t186 () (tptp.atomic tptp.tptp2)) % 34.21/35.02 (define @t187 () (tptp.atomic tptp.tptp1)) % 34.21/35.02 (define @t188 () (tptp.atomic tptp.tptp3)) % 34.21/35.02 (define @t189 () (@var "X112" $$unsorted)) % 34.21/35.02 (define @t190 () (@var "X111" $$unsorted)) % 34.21/35.02 (define @t191 () (tptp.min_precedes @t190 @t189 tptp.tptp0)) % 34.21/35.02 (define @t192 () (tptp.occurrence_of @t189 tptp.tptp1)) % 34.21/35.02 (define @t193 () (tptp.occurrence_of @t189 tptp.tptp2)) % 34.21/35.02 (define @t194 () (or @t193 @t192)) % 34.21/35.02 (define @t195 () (@var "X110" $$unsorted)) % 34.21/35.02 (define @t196 () (tptp.root_occ @t190 @t195)) % 34.21/35.02 (define @t197 () (tptp.occurrence_of @t190 tptp.tptp3)) % 34.21/35.02 (define @t198 () (and @t197 @t196 @t194 @t191)) % 34.21/35.02 (define @t199 () (@list @t190 @t189)) % 34.21/35.02 (define @t200 () (exists @t199 @t198)) % 34.21/35.02 (define @t201 () (tptp.occurrence_of @t195 tptp.tptp0)) % 34.21/35.02 (define @t202 () (=> @t201 @t200)) % 34.21/35.02 (define @t203 () (@list @t195)) % 34.21/35.02 (define @t204 () (forall @t203 @t202)) % 34.21/35.02 (define @t205 () (not @t204)) % 34.21/35.02 (define @t206 () (= @t161 @t162)) % 34.21/35.02 (define @t207 () (= @t163 @t162)) % 34.21/35.02 (define @t208 () (not @t166)) % 34.21/35.02 (define @t209 () (or @t208 @t207 @t206)) % 34.21/35.02 (define @t210 () (forall @t168 @t209)) % 34.21/35.02 (define @t211 () (not @t210)) % 34.21/35.02 (define @t212 () (not @t170)) % 34.21/35.02 (define @t213 () (and (not @t172) (not @t171))) % 34.21/35.02 (define @t214 () (not @t174)) % 34.21/35.02 (define @t215 () (not @t175)) % 34.21/35.02 (define @t216 () (not @t177)) % 34.21/35.02 (define @t217 () (not @t178)) % 34.21/35.02 (define @t218 () (not (forall @t180 (or @t217 @t216 @t215 @t214 @t213 @t212 @t211)))) % 34.21/35.02 (define @t219 () (not @t173)) % 34.21/35.02 (define @t220 () (or @t217 @t216 @t215 @t214 @t219 @t212 @t211)) % 34.21/35.02 (define @t221 () (and @t178 @t177 @t175 @t174 @t173 @t170 @t210)) % 34.21/35.02 (define @t222 () (forall @t180 (not @t221))) % 34.21/35.02 (define @t223 () (not @t222)) % 34.21/35.02 (define @t224 () (or @t207 @t206)) % 34.21/35.02 (define @t225 () (not @t191)) % 34.21/35.02 (define @t226 () (and (not @t193) (not @t192))) % 34.21/35.02 (define @t227 () (not @t196)) % 34.21/35.02 (define @t228 () (not @t197)) % 34.21/35.02 (define @t229 () (not (forall @t199 (or @t228 @t227 @t226 @t225)))) % 34.21/35.02 (define @t230 () (@quantifiers_skolemize (forall @t203 (or (not @t201) @t229)) 0)) % 34.21/35.02 (define @t231 () (not @t194)) % 34.21/35.02 (define @t232 () (or @t228 @t227 @t231 @t225)) % 34.21/35.02 (define @t233 () (forall @t199 (not @t198))) % 34.21/35.02 (define @t234 () (not @t233)) % 34.21/35.02 (define @t235 () (tptp.occurrence_of @t230 tptp.tptp0)) % 34.21/35.02 (define @t236 () (forall @t199 (or @t228 (not (tptp.root_occ @t190 @t230)) @t226 @t225))) % 34.21/35.02 (define @t237 () (not @t236)) % 34.21/35.02 (define @t238 () (not @t235)) % 34.21/35.02 (define @t239 () (or @t238 @t237)) % 34.21/35.02 (define @t240 () (@list true)) % 34.21/35.02 (define @t241 () (@list @t239)) % 34.21/35.02 (define @t242 () (forall @t180 (or @t217 (not (tptp.root_occ @t165 @t230)) @t215 @t214 @t213 @t212 @t211))) % 34.21/35.02 (define @t243 () (not @t242)) % 34.21/35.02 (define @t244 () (or @t238 @t243)) % 34.21/35.02 (define @t245 () (@list false false)) % 34.21/35.02 (define @t246 () (@quantifiers_skolemize @t242 2)) % 34.21/35.02 (define @t247 () (@quantifiers_skolemize @t242 1)) % 34.21/35.02 (define @t248 () (@quantifiers_skolemize @t242 0)) % 34.21/35.02 (define @t249 () (not (tptp.min_precedes @t248 @t162 tptp.tptp0))) % 34.21/35.02 (define @t250 () (tptp.min_precedes @t247 @t246 tptp.tptp0)) % 34.21/35.02 (define @t251 () (not @t250)) % 34.21/35.02 (define @t252 () (tptp.occurrence_of @t246 tptp.tptp1)) % 34.21/35.02 (define @t253 () (not @t252)) % 34.21/35.02 (define @t254 () (tptp.occurrence_of @t246 tptp.tptp2)) % 34.21/35.02 (define @t255 () (not @t254)) % 34.21/35.02 (define @t256 () (and @t255 @t253)) % 34.21/35.02 (define @t257 () (tptp.min_precedes @t248 @t247 tptp.tptp0)) % 34.21/35.02 (define @t258 () (not @t257)) % 34.21/35.02 (define @t259 () (not (tptp.occurrence_of @t247 tptp.tptp4))) % 34.21/35.02 (define @t260 () (tptp.root_occ @t248 @t230)) % 34.21/35.02 (define @t261 () (not @t260)) % 34.21/35.02 (define @t262 () (tptp.occurrence_of @t248 tptp.tptp3)) % 34.21/35.02 (define @t263 () (not @t262)) % 34.21/35.02 (define @t264 () (or @t263 @t261 @t259 @t258 @t256 @t251 (not (forall @t168 (or @t249 (= @t162 @t247) (= @t162 @t246)))))) % 34.21/35.02 (define @t265 () (not @t264)) % 34.21/35.02 (define @t266 () (or @t249 (= @t247 @t162) (= @t246 @t162))) % 34.21/35.02 (define @t267 () (forall @t168 @t266)) % 34.21/35.02 (define @t268 () (not @t267)) % 34.21/35.02 (define @t269 () (or @t263 @t261 @t259 @t258 @t256 @t251 @t268)) % 34.21/35.02 (define @t270 () (not @t269)) % 34.21/35.02 (define @t271 () (@list @t264)) % 34.21/35.02 (define @t272 () (tptp.arboreal @t246)) % 34.21/35.02 (define @t273 () (or @t255 (= @t272 @t186))) % 34.21/35.02 (define @t274 () (forall @t29 (or (not @t28) @t27))) % 34.21/35.02 (define @t275 () (= @t186 @t272)) % 34.21/35.02 (define @t276 () (or @t255 @t275)) % 34.21/35.02 (define @t277 () (@list false)) % 34.21/35.02 (define @t278 () (@list @t274)) % 34.21/35.02 (define @t279 () (not @t116)) % 34.21/35.02 (define @t280 () (not @t117)) % 34.21/35.02 (define @t281 () (not @t118)) % 34.21/35.02 (define @t282 () (not @t119)) % 34.21/35.02 (define @t283 () (not @t120)) % 34.21/35.02 (define @t284 () (or @t283 @t282 @t281 @t280 @t279)) % 34.21/35.02 (define @t285 () (forall @t96 (or (not (tptp.occurrence_of @t88 tptp.tptp0)) (not (tptp.subactivity_occurrence @t247 @t88)) (not (tptp.subactivity_occurrence @t246 @t88))))) % 34.21/35.02 (define @t286 () (@quantifiers_skolemize @t285 0)) % 34.21/35.02 (define @t287 () (not @t127)) % 34.21/35.02 (define @t288 () (not @t129)) % 34.21/35.02 (define @t289 () (not @t130)) % 34.21/35.02 (define @t290 () (or @t289 @t288 @t287)) % 34.21/35.02 (define @t291 () (not @t90)) % 34.21/35.02 (define @t292 () (not @t92)) % 34.21/35.02 (define @t293 () (not @t94)) % 34.21/35.02 (define @t294 () (or @t293 @t292 @t291)) % 34.21/35.02 (define @t295 () (not (forall @t96 @t294))) % 34.21/35.02 (define @t296 () (forall @t96 (not @t95))) % 34.21/35.02 (define @t297 () (not @t296)) % 34.21/35.02 (define @t298 () (not @t285)) % 34.21/35.02 (define @t299 () (or @t251 @t298)) % 34.21/35.02 (define @t300 () (tptp.subactivity_occurrence @t247 @t286)) % 34.21/35.02 (define @t301 () (tptp.subactivity_occurrence @t246 @t286)) % 34.21/35.02 (define @t302 () (not @t301)) % 34.21/35.02 (define @t303 () (not @t300)) % 34.21/35.02 (define @t304 () (tptp.occurrence_of @t286 tptp.tptp0)) % 34.21/35.02 (define @t305 () (not @t304)) % 34.21/35.02 (define @t306 () (or @t305 @t303 @t302)) % 34.21/35.02 (define @t307 () (@list @t306)) % 34.21/35.02 (define @t308 () (tptp.subactivity_occurrence @t248 @t286)) % 34.21/35.02 (define @t309 () (or @t258 @t305 @t303 @t308)) % 34.21/35.02 (define @t310 () (@list @t248 @t247)) % 34.21/35.02 (define @t311 () (tptp.precedes @t248 @t247)) % 34.21/35.02 (define @t312 () (or @t258 @t311)) % 34.21/35.02 (define @t313 () (tptp.earlier @t248 @t247)) % 34.21/35.02 (define @t314 () (and @t313 (tptp.legal @t247))) % 34.21/35.02 (define @t315 () (= @t311 @t314)) % 34.21/35.02 (define @t316 () (tptp.earlier @t247 @t248)) % 34.21/35.02 (define @t317 () (not @t316)) % 34.21/35.02 (define @t318 () (not @t313)) % 34.21/35.02 (define @t319 () (or @t318 @t317)) % 34.21/35.02 (define @t320 () (tptp.precedes @t247 @t246)) % 34.21/35.02 (define @t321 () (or @t251 @t320)) % 34.21/35.02 (define @t322 () (tptp.earlier @t247 @t246)) % 34.21/35.02 (define @t323 () (and @t322 (tptp.legal @t246))) % 34.21/35.02 (define @t324 () (= @t320 @t323)) % 34.21/35.02 (define @t325 () (= @t248 @t246)) % 34.21/35.02 (define @t326 () (not @t325)) % 34.21/35.02 (define @t327 () (not @t322)) % 34.21/35.02 (define @t328 () (and @t317 @t325 @t322)) % 34.21/35.02 (define @t329 () (@list false true)) % 34.21/35.02 (define @t330 () (forall @t152 (or (not (tptp.occurrence_of @t230 @t145)) (not (tptp.root @t248 @t145))))) % 34.21/35.02 (define @t331 () (@quantifiers_skolemize @t330 0)) % 34.21/35.02 (define @t332 () (not @t147)) % 34.21/35.02 (define @t333 () (not @t150)) % 34.21/35.02 (define @t334 () (or @t333 @t332)) % 34.21/35.02 (define @t335 () (forall @t152 @t334)) % 34.21/35.02 (define @t336 () (not @t335)) % 34.21/35.02 (define @t337 () (not @t149)) % 34.21/35.02 (define @t338 () (or @t337 @t335)) % 34.21/35.02 (define @t339 () (= @t154 (not @t338))) % 34.21/35.02 (define @t340 () (or @t337 @t334)) % 34.21/35.02 (define @t341 () (or @t333 @t337 @t332)) % 34.21/35.02 (define @t342 () (forall @t152 (not @t151))) % 34.21/35.02 (define @t343 () (not @t342)) % 34.21/35.02 (define @t344 () (not @t330)) % 34.21/35.02 (define @t345 () (and (tptp.subactivity_occurrence @t248 @t230) @t344)) % 34.21/35.02 (define @t346 () (= @t260 @t345)) % 34.21/35.02 (define @t347 () (tptp.root @t248 @t331)) % 34.21/35.02 (define @t348 () (not @t347)) % 34.21/35.02 (define @t349 () (tptp.occurrence_of @t230 @t331)) % 34.21/35.02 (define @t350 () (not @t349)) % 34.21/35.02 (define @t351 () (or @t350 @t348)) % 34.21/35.02 (define @t352 () (@list @t351)) % 34.21/35.02 (define @t353 () (not (tptp.min_precedes @t246 @t248 @t331))) % 34.21/35.02 (define @t354 () (or @t353 @t348)) % 34.21/35.02 (define @t355 () (not @t9)) % 34.21/35.02 (define @t356 () (not @t10)) % 34.21/35.02 (define @t357 () (= tptp.tptp0 @t331)) % 34.21/35.02 (define @t358 () (or @t238 @t350 @t357)) % 34.21/35.02 (define @t359 () (tptp.min_precedes @t246 @t248 tptp.tptp0)) % 34.21/35.02 (define @t360 () (tptp.arboreal @t248)) % 34.21/35.02 (define @t361 () (or @t263 (= @t360 @t188))) % 34.21/35.02 (define @t362 () (= @t188 @t360)) % 34.21/35.02 (define @t363 () (or @t263 @t362)) % 34.21/35.02 (define @t364 () (tptp.min_precedes @t248 @t246 tptp.tptp0)) % 34.21/35.02 (define @t365 () (not @t364)) % 34.21/35.02 (define @t366 () (or @t263 @t261 @t256 @t365)) % 34.21/35.02 (define @t367 () (not @t308)) % 34.21/35.02 (define @t368 () (not @t272)) % 34.21/35.02 (define @t369 () (not @t360)) % 34.21/35.02 (define @t370 () (or @t305 @t369 @t368 @t367 @t302 @t364 @t359 @t325)) % 34.21/35.02 (define @t371 () (not @t275)) % 34.21/35.02 (define @t372 () (= @t187 @t272)) % 34.21/35.02 (define @t373 () (not @t372)) % 34.21/35.02 (define @t374 () (or @t253 (= @t272 @t187))) % 34.21/35.02 (define @t375 () (or @t253 @t372)) % 34.21/35.02 (assume @p1 (forall (@list @t2 @t1) (=> (tptp.occurrence_of @t1 @t2) (and (tptp.activity @t2) (tptp.activity_occurrence @t1))))) % 34.21/35.02 (assume @p2 (forall (@list @t4) (=> (tptp.activity_occurrence @t4) (exists (@list @t3) (and (tptp.activity @t3) (tptp.occurrence_of @t4 @t3)))))) % 34.21/35.02 (assume @p3 @t12) % 34.21/35.02 (assume @p4 (forall (@list @t13) (=> (tptp.activity @t13) (tptp.subactivity @t13 @t13)))) % 34.21/35.02 (assume @p5 @t18) % 34.21/35.02 (assume @p6 (forall (@list @t20 @t21 @t19) (=> (and (tptp.earlier @t20 @t21) (tptp.earlier @t21 @t19)) (tptp.earlier @t20 @t19)))) % 34.21/35.02 (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))))) % 34.21/35.02 (assume @p8 @t30) % 34.21/35.02 (assume @p9 (forall (@list @t31) (=> (tptp.legal @t31) (tptp.arboreal @t31)))) % 34.21/35.02 (assume @p10 (forall (@list @t33 @t32) (=> (and (tptp.legal @t33) (tptp.earlier @t32 @t33)) (tptp.legal @t32)))) % 34.21/35.02 (assume @p11 (forall (@list @t35 @t34) (= (tptp.precedes @t35 @t34) (and (tptp.earlier @t35 @t34) (tptp.legal @t34))))) % 34.21/35.02 (assume @p12 (forall (@list @t40 @t39 @t37) (=> (tptp.min_precedes @t39 @t37 @t40) (exists (@list @t38 @t36) (and (tptp.subactivity @t38 @t40) (tptp.subactivity @t36 @t40) (tptp.atocc @t39 @t38) (tptp.atocc @t37 @t36)))))) % 34.21/35.02 (assume @p13 (forall (@list @t43 @t42) (=> (tptp.root @t42 @t43) (exists (@list @t41) (and (tptp.subactivity @t41 @t43) (tptp.atocc @t42 @t41)))))) % 34.21/35.02 (assume @p14 (forall (@list @t47 @t45 @t44) (=> (tptp.min_precedes @t47 @t45 @t44) (exists (@list @t46) (and (tptp.root @t46 @t44) (tptp.min_precedes @t46 @t45 @t44)))))) % 34.21/35.02 (assume @p15 @t53) % 34.21/35.02 (assume @p16 @t59) % 34.21/35.02 (assume @p17 (forall (@list @t60 @t61) (=> (tptp.root @t60 @t61) (tptp.legal @t60)))) % 34.21/35.02 (assume @p18 (forall (@list @t63 @t62) (=> (and (tptp.atocc @t63 @t62) (tptp.legal @t63)) (tptp.root @t63 @t62)))) % 34.21/35.02 (assume @p19 (forall (@list @t67 @t66 @t65 @t64) (=> (and (tptp.min_precedes @t67 @t66 @t64) (tptp.min_precedes @t67 @t65 @t64) (tptp.precedes @t66 @t65)) (tptp.min_precedes @t66 @t65 @t64)))) % 34.21/35.02 (assume @p20 (forall (@list @t70 @t69 @t68) (=> (tptp.min_precedes @t70 @t69 @t68) (not (tptp.atomic @t68))))) % 34.21/35.02 (assume @p21 (forall (@list @t74 @t73 @t72 @t71) (=> (and (tptp.min_precedes @t73 @t74 @t71) (tptp.min_precedes @t72 @t74 @t71) (tptp.precedes @t73 @t72)) (tptp.min_precedes @t73 @t72 @t71)))) % 34.21/35.02 (assume @p22 (forall (@list @t77 @t75) (= (tptp.leaf @t77 @t75) (and (or (tptp.root @t77 @t75) (exists (@list @t78) (tptp.min_precedes @t78 @t77 @t75))) (not (exists (@list @t76) (tptp.min_precedes @t77 @t76 @t75))))))) % 34.21/35.02 (assume @p23 (forall (@list @t82 @t80 @t79) (= (tptp.next_subocc @t82 @t80 @t79) (and (tptp.min_precedes @t82 @t80 @t79) (not (exists (@list @t81) (and (tptp.min_precedes @t82 @t81 @t79) (tptp.min_precedes @t81 @t80 @t79)))))))) % 34.21/35.02 (assume @p24 (forall (@list @t84 @t85) (= (tptp.atocc @t84 @t85) (exists (@list @t83) (and (tptp.subactivity @t85 @t83) (tptp.atomic @t83) (tptp.occurrence_of @t84 @t83)))))) % 34.21/35.02 (assume @p25 (forall (@list @t87 @t86) (=> (tptp.subactivity_occurrence @t87 @t86) (and (tptp.activity_occurrence @t87) (tptp.activity_occurrence @t86))))) % 34.21/35.02 (assume @p26 @t101) % 34.21/35.02 (assume @p27 (forall (@list @t104 @t103) (=> (and (tptp.root @t103 @t104) (not (tptp.atomic @t104))) (exists (@list @t102) (and (tptp.occurrence_of @t102 @t104) (tptp.subactivity_occurrence @t103 @t102)))))) % 34.21/35.02 (assume @p28 (forall (@list @t107 @t105) (=> (and (tptp.occurrence_of @t105 @t107) (not (tptp.atomic @t107))) (exists (@list @t106) (and (tptp.root @t106 @t107) (tptp.subactivity_occurrence @t106 @t105)))))) % 34.21/35.02 (assume @p29 @t122) % 34.21/35.02 (assume @p30 @t132) % 34.21/35.02 (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)))) % 34.21/35.02 (assume @p32 (forall (@list @t138 @t139 @t137) (=> (and (tptp.subactivity_occurrence @t138 @t139) (tptp.subactivity_occurrence @t139 @t137)) (tptp.subactivity_occurrence @t138 @t137)))) % 34.21/35.02 (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))))))) % 34.21/35.02 (assume @p34 @t157) % 34.21/35.02 (assume @p35 (forall (@list @t159 @t160) (= (tptp.leaf_occ @t159 @t160) (exists (@list @t158) (and (tptp.occurrence_of @t160 @t158) (tptp.subactivity_occurrence @t159 @t160) (tptp.leaf @t159 @t158)))))) % 34.21/35.02 (assume @p36 @t185) % 34.21/35.02 (assume @p37 (tptp.activity tptp.tptp0)) % 34.21/35.02 (assume @p38 (not (tptp.atomic tptp.tptp0))) % 34.21/35.02 (assume @p39 (tptp.atomic tptp.tptp4)) % 34.21/35.02 (assume @p40 @t186) % 34.21/35.02 (assume @p41 @t187) % 34.21/35.02 (assume @p42 @t188) % 34.21/35.02 (assume @p43 (not (= tptp.tptp4 tptp.tptp3))) % 34.21/35.02 (assume @p44 (not (= tptp.tptp4 tptp.tptp2))) % 34.21/35.02 (assume @p45 (not (= tptp.tptp4 tptp.tptp1))) % 34.21/35.02 (assume @p46 (not (= tptp.tptp3 tptp.tptp2))) % 34.21/35.02 (assume @p47 (not (= tptp.tptp3 tptp.tptp1))) % 34.21/35.02 (assume @p48 (not (= tptp.tptp2 tptp.tptp1))) % 34.21/35.02 (assume @p49 @t205) % 34.21/35.02 (assume @p50 true) % 34.21/35.02 (step @p51 :rule bool-impl-elim :args (@t182 @t218)) % 34.21/35.02 (step @p52 :rule cong :premises (@p51) :args ((forall @t184 (=> @t182 @t218)))) % 34.21/35.02 (step @p53 :rule refl :args (@t211)) % 34.21/35.02 (step @p54 :rule refl :args (@t212)) % 34.21/35.02 (step @p55 :rule bool-or-de-morgan :args (@t172 @t171 false)) % 34.21/35.02 (step @p56 :rule refl :args (@t214)) % 34.21/35.02 (step @p57 :rule refl :args (@t215)) % 34.21/35.02 (step @p58 :rule refl :args (@t216)) % 34.21/35.02 (step @p59 :rule refl :args (@t217)) % 34.21/35.02 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57 @p56 @p55 @p54 @p53) :args (@t220)) % 34.21/35.02 (step @p61 :rule aci_norm :args ((= (or @t217 (or @t216 (or @t215 (or @t214 (or @t219 (or @t212 @t211)))))) @t220))) % 34.21/35.02 (step @p62 :rule bool-and-de-morgan :args (@t170 @t210 true)) % 34.21/35.02 (step @p63 :rule refl :args (@t219)) % 34.21/35.02 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t219 (not (and @t170 @t210))))) % 34.21/35.02 (step @p65 :rule bool-and-de-morgan :args (@t173 @t170 (and @t210))) % 34.21/35.02 (step @p66 :rule trans :premises (@p65 @p64)) % 34.21/35.02 (step @p67 :rule nary_cong :premises (@p56 @p66) :args ((or @t214 (not (and @t173 @t170 @t210))))) % 34.21/35.02 (step @p68 :rule bool-and-de-morgan :args (@t174 @t173 (and @t170 @t210))) % 34.21/35.02 (step @p69 :rule trans :premises (@p68 @p67)) % 34.21/35.02 (step @p70 :rule nary_cong :premises (@p57 @p69) :args ((or @t215 (not (and @t174 @t173 @t170 @t210))))) % 34.21/35.02 (step @p71 :rule bool-and-de-morgan :args (@t175 @t174 (and @t173 @t170 @t210))) % 34.21/35.02 (step @p72 :rule trans :premises (@p71 @p70)) % 34.21/35.02 (step @p73 :rule nary_cong :premises (@p58 @p72) :args ((or @t216 (not (and @t175 @t174 @t173 @t170 @t210))))) % 34.21/35.02 (step @p74 :rule bool-and-de-morgan :args (@t177 @t175 (and @t174 @t173 @t170 @t210))) % 34.21/35.02 (step @p75 :rule trans :premises (@p74 @p73)) % 34.21/35.02 (step @p76 :rule nary_cong :premises (@p59 @p75) :args ((or @t217 (not (and @t177 @t175 @t174 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:rule reordering :premises (@p267) :args ((or @t300 @t306))) % 34.21/35.02 (step @p269 :rule chain_m_resolution :premises (@p268 @p262) :args (@t300 @t240 @t307)) % 34.21/35.02 (step @p270 :rule bool-double-not-elim :args (@t304)) % 34.21/35.02 (step @p271 :rule nary_cong :premises (@p264 @p270) :args ((or @t306 (not @t305)))) % 34.21/35.02 (step @p272 :rule cnf_or_neg :args (@t306 0)) % 34.21/35.02 (step @p273 :rule eq_resolve :premises (@p272 @p271)) % 34.21/35.02 (step @p274 :rule reordering :premises (@p273) :args ((or @t304 @t306))) % 34.21/35.02 (step @p275 :rule chain_m_resolution :premises (@p274 @p262) :args (@t304 @t240 @t307)) % 34.21/35.02 (step @p276 :rule bool-double-not-elim :args (@t257)) % 34.21/35.02 (step @p277 :rule nary_cong :premises (@p253 @p276) :args ((or @t264 (not @t258)))) % 34.21/35.02 (step @p278 :rule cnf_or_neg :args (@t264 3)) % 34.21/35.02 (step @p279 :rule eq_resolve :premises (@p278 @p277)) % 34.21/35.02 (step @p280 :rule reordering :premises (@p279) :args ((or @t257 @t264))) % 34.21/35.02 (step @p281 :rule chain_m_resolution :premises (@p280 @p175) :args (@t257 @t240 @t271)) % 34.21/35.02 (step @p282 :rule cnf_or_pos :args (@t309)) % 34.21/35.02 (step @p283 :rule reordering :premises (@p282) :args ((or @t258 @t305 @t303 @t308 (not @t309)))) % 34.21/35.02 (step @p284 :rule chain_m_resolution :premises (@p283 @p281 @p275 @p269 @p232) :args (@t308 (@list false false false false) (@list @t257 @t304 @t300 @t309))) % 34.21/35.02 (step @p285 :rule bool-impl-elim :args (@t17 @t16)) % 34.21/35.02 (step @p286 :rule cong :premises (@p285) :args (@t18)) % 34.21/35.02 (step @p287 :rule eq_resolve :premises (@p5 @p286)) % 34.21/35.02 (step @p288 :rule instantiate :premises (@p287) :args (@t310)) % 34.21/35.02 (step @p289 :rule instantiate :premises (@p11) :args (@t310)) % 34.21/35.02 (step @p290 :rule bool-impl-elim :args (@t58 @t56)) % 34.21/35.02 (step @p291 :rule cong :premises (@p290) :args (@t59)) % 34.21/35.02 (step @p292 :rule eq_resolve :premises (@p16 @p291)) % 34.21/35.02 (step @p293 :rule instantiate :premises (@p292) :args ((@list @t248 @t247 tptp.tptp0))) % 34.21/35.02 (step @p294 :rule cnf_or_pos :args (@t312)) % 34.21/35.02 (step @p295 :rule reordering :premises (@p294) :args ((or @t258 @t311 (not @t312)))) % 34.21/35.02 (step @p296 :rule chain_m_resolution :premises (@p295 @p281 @p293) :args (@t311 @t245 (@list @t257 @t312))) % 34.21/35.02 (step @p297 :rule cnf_equiv_pos1 :args (@t315)) % 34.21/35.02 (step @p298 :rule reordering :premises (@p297) :args ((or (not @t311) @t314 (not @t315)))) % 34.21/35.02 (step @p299 :rule chain_m_resolution :premises (@p298 @p296 @p289) :args (@t314 @t245 (@list @t311 @t315))) % 34.21/35.02 (step @p300 :rule cnf_and_pos :args (@t314 0)) % 34.21/35.02 (step @p301 :rule reordering :premises (@p300) :args ((or @t313 (not @t314)))) % 34.21/35.02 (step @p302 :rule chain_m_resolution :premises (@p301 @p299) :args (@t313 @t277 (@list @t314))) % 34.21/35.02 (step @p303 :rule cnf_or_pos :args (@t319)) % 34.21/35.02 (step @p304 :rule reordering :premises (@p303) :args ((or @t318 @t317 (not @t319)))) % 34.21/35.02 (step @p305 :rule chain_m_resolution :premises (@p304 @p302 @p288) :args (@t317 @t245 (@list @t313 @t319))) % 34.21/35.02 (step @p306 :rule instantiate :premises (@p11) :args ((@list @t247 @t246))) % 34.21/35.02 (step @p307 :rule instantiate :premises (@p292) :args ((@list @t247 @t246 tptp.tptp0))) % 34.21/35.02 (step @p308 :rule cnf_or_pos :args (@t321)) % 34.21/35.02 (step @p309 :rule reordering :premises (@p308) :args ((or @t251 @t320 (not @t321)))) % 34.21/35.02 (step @p310 :rule chain_m_resolution :premises (@p309 @p258 @p307) :args (@t320 @t245 (@list @t250 @t321))) % 34.21/35.02 (step @p311 :rule cnf_equiv_pos1 :args (@t324)) % 34.21/35.02 (step @p312 :rule reordering :premises (@p311) :args ((or (not @t320) @t323 (not @t324)))) % 34.21/35.02 (step @p313 :rule chain_m_resolution :premises (@p312 @p310 @p306) :args (@t323 @t245 (@list @t320 @t324))) % 34.21/35.02 (step @p314 :rule cnf_and_pos :args (@t323 0)) % 34.21/35.02 (step @p315 :rule reordering :premises (@p314) :args ((or @t322 (not @t323)))) % 34.21/35.02 (step @p316 :rule chain_m_resolution :premises (@p315 @p313) :args (@t322 @t277 (@list @t323))) % 34.21/35.02 (step @p317 :rule bool-double-not-elim :args (@t316)) % 34.21/35.02 (step @p318 :rule refl :args (@t326)) % 34.21/35.02 (step @p319 :rule refl :args (@t327)) % 34.21/35.02 (step @p320 :rule nary_cong :premises (@p319 @p318 @p317) :args ((or @t327 @t326 (not @t317)))) % 34.21/35.02 (assume-push @p507 @t317) % 34.21/35.02 (assume-push @p508 @t325) % 34.21/35.02 (assume-push @p509 @t322) % 34.21/35.02 (step @p324 :rule evaluate :args ((= true false))) % 34.21/35.02 (step @p325 :rule false_intro :premises (@p305)) % 34.21/35.02 (step @p326 :rule symm :premises (@p508)) % 34.21/35.02 (step @p327 :rule refl :args (@t247)) % 34.21/35.02 (step @p328 :rule cong :premises (@p327 @p326) :args (@t322)) % 34.21/35.02 (step @p329 :rule true_intro :premises (@p316)) % 34.21/35.02 (step @p330 :rule symm :premises (@p329)) % 34.21/35.02 (step @p331 :rule trans :premises (@p330 @p328 @p325)) % 34.21/35.02 (step @p332 false :rule eq_resolve :premises (@p331 @p324)) % 34.21/35.02 (step-pop @p510 :rule scope :premises (@p332)) % 34.21/35.02 (step-pop @p511 :rule scope :premises (@p510)) % 34.21/35.02 (step-pop @p512 :rule scope :premises (@p511)) % 34.21/35.02 (step @p333 :rule process_scope :premises (@p512) :args (false)) % 34.21/35.02 (assume-push @p513 @t322) % 34.21/35.02 (assume-push @p514 @t325) % 34.21/35.02 (assume-push @p515 @t317) % 34.21/35.02 (step @p340 :rule and_intro :premises (@p305 @p514 @p316)) % 34.21/35.02 (step-pop @p516 :rule scope :premises (@p340)) % 34.21/35.02 (step-pop @p517 :rule scope :premises (@p516)) % 34.21/35.02 (step-pop @p518 :rule scope :premises (@p517)) % 34.21/35.02 (step @p341 :rule process_scope :premises (@p518) :args (@t328)) % 34.21/35.02 (step @p345 :rule implies_elim :premises (@p341)) % 34.21/35.02 (step @p346 :rule resolution :premises (@p345 @p333) :args (true @t328)) % 34.21/35.02 (step @p347 :rule not_and :premises (@p346)) % 34.21/35.02 (step @p348 :rule eq_resolve :premises (@p347 @p320)) % 34.21/35.02 (step @p349 :rule chain_m_resolution :premises (@p348 @p316 @p305) :args (@t326 @t329 (@list @t322 @t316))) % 34.21/35.02 (step @p350 :rule bool-impl-elim :args (@t52 @t50)) % 34.21/35.02 (step @p351 :rule cong :premises (@p350) :args (@t53)) % 34.21/35.02 (step @p352 :rule eq_resolve :premises (@p15 @p351)) % 34.21/35.02 (step @p353 :rule instantiate :premises (@p352) :args ((@list @t246 @t248 @t331))) % 34.21/35.02 (step @p354 :rule refl :args (@t336)) % 34.21/35.02 (step @p355 :rule bool-double-not-elim :args (@t149)) % 34.21/35.02 (step @p356 :rule nary_cong :premises (@p355 @p354) :args ((and (not @t337) @t336))) % 34.21/35.02 (step @p357 :rule bool-or-de-morgan :args (@t337 @t335 false)) % 34.21/35.02 (step @p358 :rule trans :premises (@p357 @p356)) % 34.21/35.02 (step @p359 :rule refl :args (@t154)) % 34.21/35.02 (step @p360 :rule cong :premises (@p359 @p358) :args (@t339)) % 34.21/35.02 (step @p361 :rule cong :premises (@p360) :args ((forall @t156 @t339))) % 34.21/35.02 (step @p362 :rule quant-miniscope-or :args ((= (forall @t152 @t340) @t338))) % 34.21/35.02 (step @p363 :rule aci_norm :args ((= @t341 @t340))) % 34.21/35.02 (step @p364 :rule cong :premises (@p363) :args ((forall @t152 @t341))) % 34.21/35.02 (step @p365 :rule trans :premises (@p364 @p362)) % 34.21/35.02 (step @p366 :rule aci_norm :args ((= (or @t333 (or @t337 @t332)) @t341))) % 34.21/35.02 (step @p367 :rule bool-and-de-morgan :args (@t149 @t147 true)) % 34.21/35.02 (step @p368 :rule refl :args (@t333)) % 34.21/35.02 (step @p369 :rule nary_cong :premises (@p368 @p367) :args ((or @t333 (not (and @t149 @t147))))) % 34.21/35.02 (step @p370 :rule bool-and-de-morgan :args (@t150 @t149 (and @t147))) % 34.21/35.02 (step @p371 :rule trans :premises (@p370 @p369)) % 34.21/35.02 (step @p372 :rule trans :premises (@p371 @p366)) % 34.21/35.02 (step @p373 :rule cong :premises (@p372) :args (@t342)) % 34.21/35.02 (step @p374 :rule trans :premises (@p373 @p365)) % 34.21/35.02 (step @p375 :rule cong :premises (@p374) :args (@t343)) % 34.21/35.02 (step @p376 :rule exists-elim :args ((= @t153 @t343))) % 34.21/35.02 (step @p377 :rule trans :premises (@p376 @p375)) % 34.21/35.02 (step @p378 :rule refl :args (@t154)) % 34.21/35.02 (step @p379 :rule cong :premises (@p378 @p377) :args (@t155)) % 34.21/35.02 (step @p380 :rule cong :premises (@p379) :args (@t157)) % 34.21/35.02 (step @p381 :rule trans :premises (@p380 @p361)) % 34.21/35.02 (step @p382 :rule eq_resolve :premises (@p34 @p381)) % 34.21/35.02 (step @p383 :rule instantiate :premises (@p382) :args ((@list @t248 @t230))) % 34.21/35.02 (step @p384 :rule bool-double-not-elim :args (@t260)) % 34.21/35.02 (step @p385 :rule nary_cong :premises (@p253 @p384) :args ((or @t264 (not @t261)))) % 34.21/35.02 (step @p386 :rule cnf_or_neg :args (@t264 1)) % 34.21/35.02 (step @p387 :rule eq_resolve :premises (@p386 @p385)) % 34.21/35.02 (step @p388 :rule reordering :premises (@p387) :args ((or @t260 @t264))) % 34.21/35.02 (step @p389 :rule chain_m_resolution :premises (@p388 @p175) :args (@t260 @t240 @t271)) % 34.21/35.02 (step @p390 :rule cnf_equiv_pos1 :args (@t346)) % 34.21/35.02 (step @p391 :rule reordering :premises (@p390) :args ((or @t261 @t345 (not @t346)))) % 34.21/35.02 (step @p392 :rule chain_m_resolution :premises (@p391 @p389 @p383) :args (@t345 @t245 (@list @t260 @t346))) % 34.21/35.02 (step @p393 :rule cnf_and_pos :args (@t345 1)) % 34.21/35.02 (step @p394 :rule reordering :premises (@p393) :args ((or @t344 (not @t345)))) % 34.21/35.02 (step @p395 :rule chain_m_resolution :premises (@p394 @p392) :args (@t344 @t277 (@list @t345))) % 34.21/35.02 (step @p396 :rule skolemize :premises (@p395)) % 34.21/35.02 (step @p397 :rule bool-double-not-elim :args (@t347)) % 34.21/35.02 (step @p398 :rule refl :args (@t351)) % 34.21/35.02 (step @p399 :rule nary_cong :premises (@p398 @p397) :args ((or @t351 (not @t348)))) % 34.21/35.02 (step @p400 :rule cnf_or_neg :args (@t351 1)) % 34.21/35.02 (step @p401 :rule eq_resolve :premises (@p400 @p399)) % 34.21/35.02 (step @p402 :rule reordering :premises (@p401) :args ((or @t347 @t351))) % 34.21/35.02 (step @p403 :rule chain_m_resolution :premises (@p402 @p396) :args (@t347 @t240 @t352)) % 34.21/35.02 (step @p404 :rule cnf_or_pos :args (@t354)) % 34.21/35.02 (step @p405 :rule reordering :premises (@p404) :args ((or @t348 @t353 (not @t354)))) % 34.21/35.02 (step @p406 :rule chain_m_resolution :premises (@p405 @p403 @p353) :args (@t353 @t245 (@list @t347 @t354))) % 34.21/35.02 (step @p407 :rule false_intro :premises (@p406)) % 34.21/35.02 (step @p408 :rule aci_norm :args ((= (or (or @t356 @t355) @t7) (or @t356 @t355 @t7)))) % 34.21/35.02 (step @p409 :rule refl :args (@t7)) % 34.21/35.02 (step @p410 :rule bool-and-de-morgan :args (@t10 @t9 true)) % 34.21/35.02 (step @p411 :rule nary_cong :premises (@p410 @p409) :args ((or (not @t11) @t7))) % 34.21/35.02 (step @p412 :rule trans :premises (@p411 @p408)) % 34.21/35.02 (step @p413 :rule bool-impl-elim :args (@t11 @t7)) % 34.21/35.02 (step @p414 :rule trans :premises (@p413 @p412)) % 34.21/35.02 (step @p415 :rule cong :premises (@p414) :args (@t12)) % 34.21/35.02 (step @p416 :rule eq_resolve :premises (@p3 @p415)) % 34.21/35.02 (step @p417 :rule instantiate :premises (@p416) :args ((@list @t230 tptp.tptp0 @t331))) % 34.21/35.02 (step @p418 :rule bool-double-not-elim :args (@t349)) % 34.21/35.02 (step @p419 :rule nary_cong :premises (@p398 @p418) :args ((or @t351 (not @t350)))) % 34.21/35.02 (step @p420 :rule cnf_or_neg :args (@t351 0)) % 34.21/35.02 (step @p421 :rule eq_resolve :premises (@p420 @p419)) % 34.21/35.02 (step @p422 :rule reordering :premises (@p421) :args ((or @t349 @t351))) % 34.21/35.02 (step @p423 :rule chain_m_resolution :premises (@p422 @p396) :args (@t349 @t240 @t352)) % 34.21/35.02 (step @p424 :rule cnf_or_pos :args (@t358)) % 34.21/35.02 (step @p425 :rule reordering :premises (@p424) :args ((or @t238 @t350 @t357 (not @t358)))) % 34.21/35.02 (step @p426 :rule chain_m_resolution :premises (@p425 @p145 @p423 @p417) :args (@t357 (@list false false false) (@list @t235 @t349 @t358))) % 34.21/35.02 (step @p427 :rule refl :args (@t248)) % 34.21/35.02 (step @p428 :rule refl :args (@t246)) % 34.21/35.02 (step @p429 :rule cong :premises (@p428 @p427 @p426) :args (@t359)) % 34.21/35.02 (step @p430 :rule trans :premises (@p429 @p407)) % 34.21/35.02 (step @p431 :rule false_elim :premises (@p430)) % 34.21/35.02 (step @p432 :rule bool-double-not-elim :args (@t301)) % 34.21/35.02 (step @p433 :rule nary_cong :premises (@p264 @p432) :args ((or @t306 (not @t302)))) % 34.21/35.02 (step @p434 :rule cnf_or_neg :args (@t306 2)) % 34.21/35.02 (step @p435 :rule eq_resolve :premises (@p434 @p433)) % 34.21/35.02 (step @p436 :rule reordering :premises (@p435) :args ((or @t301 @t306))) % 34.21/35.02 (step @p437 :rule chain_m_resolution :premises (@p436 @p262) :args (@t301 @t240 @t307)) % 34.21/35.02 (step @p438 :rule eq-symm :args (@t360 @t188)) % 34.21/35.02 (step @p439 :rule nary_cong :premises (@p163 @p438) :args (@t361)) % 34.21/35.02 (step @p440 :rule cong :premises (@p184 @p439) :args ((=> @t274 @t361))) % 34.21/35.02 (assume-push @p519 @t274) % 34.21/35.02 (step @p442 :rule instantiate :premises (@p180) :args ((@list @t248 tptp.tptp3))) % 34.21/35.02 (step-pop @p520 :rule scope :premises (@p442)) % 34.21/35.02 (step @p443 :rule process_scope :premises (@p520) :args (@t361)) % 34.21/35.02 (step @p445 :rule eq_resolve :premises (@p443 @p440)) % 34.21/35.02 (step @p446 :rule implies_elim :premises (@p445)) % 34.21/35.02 (step @p447 :rule chain_m_resolution :premises (@p446 @p180) :args (@t363 @t277 @t278)) % 34.21/35.02 (step @p448 :rule bool-double-not-elim :args (@t262)) % 34.21/35.02 (step @p449 :rule nary_cong :premises (@p253 @p448) :args ((or @t264 (not @t263)))) % 34.21/35.02 (step @p450 :rule cnf_or_neg :args (@t264 0)) % 34.21/35.02 (step @p451 :rule eq_resolve :premises (@p450 @p449)) % 34.21/35.02 (step @p452 :rule reordering :premises (@p451) :args ((or @t262 @t264))) % 34.21/35.02 (step @p453 :rule chain_m_resolution :premises (@p452 @p175) :args (@t262 @t240 @t271)) % 34.21/35.02 (step @p454 :rule cnf_or_pos :args (@t363)) % 34.21/35.02 (step @p455 :rule reordering :premises (@p454) :args ((or @t263 @t362 (not @t363)))) % 34.21/35.02 (step @p456 :rule chain_m_resolution :premises (@p455 @p453 @p447) :args (@t362 @t245 (@list @t262 @t363))) % 34.21/35.02 (step @p457 :rule cnf_equiv_pos1 :args (@t362)) % 34.21/35.02 (step @p458 :rule reordering :premises (@p457) :args ((or (not @t188) @t360 (not @t362)))) % 34.21/35.02 (step @p459 :rule chain_m_resolution :premises (@p458 @p42 @p456) :args (@t360 @t245 (@list @t188 @t362))) % 34.21/35.02 (step @p460 :rule bool-double-not-elim :args (@t236)) % 34.21/35.02 (step @p461 :rule nary_cong :premises (@p140 @p460) :args ((or @t239 (not @t237)))) % 34.21/35.02 (step @p462 :rule cnf_or_neg :args (@t239 1)) % 34.21/35.02 (step @p463 :rule eq_resolve :premises (@p462 @p461)) % 34.21/35.02 (step @p464 :rule reordering :premises (@p463) :args ((or @t236 @t239))) % 34.21/35.02 (step @p465 :rule chain_m_resolution :premises (@p464 @p138) :args (@t236 @t240 @t241)) % 34.21/35.02 (step @p466 :rule instantiate :premises (@p465) :args ((@list @t248 @t246))) % 34.21/35.02 (step @p467 :rule cnf_or_pos :args (@t366)) % 34.21/35.02 (step @p468 :rule reordering :premises (@p467) :args ((or @t263 @t261 @t256 @t365 (not @t366)))) % 34.21/35.02 (step @p469 :rule chain_m_resolution :premises (@p468 @p453 @p389 @p177 @p466) :args (@t365 (@list false false true false) (@list @t262 @t260 @t256 @t366))) % 34.21/35.02 (step @p470 :rule cnf_or_pos :args (@t370)) % 34.21/35.02 (step @p471 :rule reordering :premises (@p470) :args ((or @t364 @t369 @t368 @t305 @t302 @t359 @t325 @t367 (not @t370)))) % 34.21/35.02 (step @p472 :rule chain_m_resolution :premises (@p471 @p469 @p459 @p275 @p437 @p431 @p349 @p284 @p216) :args (@t368 (@list true false false false true true false false) (@list @t364 @t360 @t304 @t301 @t359 @t325 @t308 @t370))) % 34.21/35.02 (step @p473 :rule cnf_equiv_pos1 :args (@t275)) % 34.21/35.02 (step @p474 :rule reordering :premises (@p473) :args ((or (not @t186) @t272 @t371))) % 34.21/35.02 (step @p475 :rule chain_m_resolution :premises (@p474 @p40 @p472) :args (@t371 @t329 (@list @t186 @t272))) % 34.21/35.02 (step @p476 :rule cnf_or_pos :args (@t276)) % 34.21/35.02 (step @p477 :rule reordering :premises (@p476) :args ((or @t255 @t275 (not @t276)))) % 34.21/35.02 (step @p478 :rule chain_m_resolution :premises (@p477 @p475 @p192) :args (@t255 (@list true false) (@list @t275 @t276))) % 34.21/35.02 (step @p479 :rule bool-double-not-elim :args (@t252)) % 34.21/35.02 (step @p480 :rule bool-double-not-elim :args (@t254)) % 34.21/35.02 (step @p481 :rule nary_cong :premises (@p159 @p480 @p479) :args ((or @t256 (not @t255) (not @t253)))) % 34.21/35.02 (step @p482 :rule cnf_and_neg :args (@t256)) % 34.21/35.02 (step @p483 :rule eq_resolve :premises (@p482 @p481)) % 34.21/35.02 (step @p484 :rule reordering :premises (@p483) :args ((or @t254 @t252 @t256))) % 34.21/35.02 (step @p485 :rule chain_m_resolution :premises (@p484 @p478 @p177) :args (@t252 (@list true true) (@list @t254 @t256))) % 34.21/35.02 (step @p486 :rule cnf_equiv_pos1 :args (@t372)) % 34.21/35.02 (step @p487 :rule reordering :premises (@p486) :args ((or (not @t187) @t272 @t373))) % 34.21/35.02 (step @p488 :rule chain_m_resolution :premises (@p487 @p41 @p472) :args (@t373 @t329 (@list @t187 @t272))) % 34.21/35.02 (step @p489 :rule eq-symm :args (@t272 @t187)) % 34.21/35.02 (step @p490 :rule refl :args (@t253)) % 34.21/35.02 (step @p491 :rule nary_cong :premises (@p490 @p489) :args (@t374)) % 34.21/35.02 (step @p492 :rule cong :premises (@p184 @p491) :args ((=> @t274 @t374))) % 34.21/35.02 (assume-push @p521 @t274) % 34.21/35.02 (step @p494 :rule instantiate :premises (@p180) :args ((@list @t246 tptp.tptp1))) % 34.21/35.02 (step-pop @p522 :rule scope :premises (@p494)) % 34.21/35.02 (step @p495 :rule process_scope :premises (@p522) :args (@t374)) % 34.21/35.02 (step @p497 :rule eq_resolve :premises (@p495 @p492)) % 34.21/35.02 (step @p498 :rule implies_elim :premises (@p497)) % 34.21/35.02 (step @p499 :rule chain_m_resolution :premises (@p498 @p180) :args (@t375 @t277 @t278)) % 34.21/35.02 (step @p500 :rule cnf_or_pos :args (@t375)) % 34.21/35.02 (step @p501 :rule reordering :premises (@p500) :args ((or @t253 @t372 (not @t375)))) % 34.21/35.02 (step @p502 false :rule chain_m_resolution :premises (@p501 @p499 @p488 @p485) :args (false (@list false true false) (@list @t375 @t372 @t252))) % 34.21/35.02 ) % 34.21/35.02 % SZS output end Proof % 34.21/35.02 % cvc5 exiting %------------------------------------------------------------------------------