%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PRO012+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.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 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PRO012+2 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.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 13:08:51 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-const tptp.tptp4 $$unsorted) % 0.45/0.63 (declare-const tptp.tptp2 $$unsorted) % 0.45/0.63 (declare-const tptp.atocc (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.activity_occurrence (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.subactivity (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.min_precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.earlier (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.activity (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.atomic (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.precedes (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.root_occ (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.occurrence_of (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.tptp3 $$unsorted) % 0.45/0.63 (declare-const tptp.legal (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.leaf_occ (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.root (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.next_subocc (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.subactivity_occurrence (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.tptp0 $$unsorted) % 0.45/0.63 (declare-const tptp.arboreal (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.tptp1 $$unsorted) % 0.45/0.63 (declare-const tptp.leaf (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (define @t1 () (@var "X3" $$unsorted)) % 0.45/0.63 (define @t2 () (@var "X2" $$unsorted)) % 0.45/0.63 (define @t3 () (@var "X0" $$unsorted)) % 0.45/0.63 (define @t4 () (tptp.min_precedes @t3 @t2 @t1)) % 0.45/0.63 (define @t5 () (@var "X1" $$unsorted)) % 0.45/0.63 (define @t6 () (tptp.min_precedes @t5 @t2 @t1)) % 0.45/0.63 (define @t7 () (tptp.min_precedes @t3 @t5 @t1)) % 0.45/0.63 (define @t8 () (and @t7 @t6)) % 0.45/0.63 (define @t9 () (forall (@list @t3 @t5 @t2 @t1) (=> @t8 @t4))) % 0.45/0.63 (define @t10 () (@var "X6" $$unsorted)) % 0.45/0.63 (define @t11 () (@var "X4" $$unsorted)) % 0.45/0.63 (define @t12 () (@var "X5" $$unsorted)) % 0.45/0.63 (define @t13 () (@var "X8" $$unsorted)) % 0.45/0.63 (define @t14 () (@var "X7" $$unsorted)) % 0.45/0.63 (define @t15 () (@var "X9" $$unsorted)) % 0.45/0.63 (define @t16 () (@var "X10" $$unsorted)) % 0.45/0.63 (define @t17 () (@var "X12" $$unsorted)) % 0.45/0.63 (define @t18 () (@var "X11" $$unsorted)) % 0.45/0.63 (define @t19 () (@var "X13" $$unsorted)) % 0.45/0.63 (define @t20 () (@var "X14" $$unsorted)) % 0.45/0.63 (define @t21 () (@var "X17" $$unsorted)) % 0.45/0.63 (define @t22 () (@var "X16" $$unsorted)) % 0.45/0.63 (define @t23 () (@var "X18" $$unsorted)) % 0.45/0.63 (define @t24 () (@var "X15" $$unsorted)) % 0.45/0.63 (define @t25 () (@var "X20" $$unsorted)) % 0.45/0.63 (define @t26 () (@var "X19" $$unsorted)) % 0.45/0.63 (define @t27 () (@var "X21" $$unsorted)) % 0.45/0.63 (define @t28 () (@var "X23" $$unsorted)) % 0.45/0.63 (define @t29 () (@var "X22" $$unsorted)) % 0.45/0.63 (define @t30 () (@var "X24" $$unsorted)) % 0.45/0.63 (define @t31 () (@var "X27" $$unsorted)) % 0.45/0.63 (define @t32 () (@var "X26" $$unsorted)) % 0.45/0.63 (define @t33 () (@var "X25" $$unsorted)) % 0.45/0.63 (define @t34 () (@var "X29" $$unsorted)) % 0.45/0.63 (define @t35 () (@var "X28" $$unsorted)) % 0.45/0.63 (define @t36 () (@var "X30" $$unsorted)) % 0.45/0.63 (define @t37 () (@var "X31" $$unsorted)) % 0.45/0.63 (define @t38 () (@var "X34" $$unsorted)) % 0.45/0.63 (define @t39 () (@var "X32" $$unsorted)) % 0.45/0.63 (define @t40 () (@var "X33" $$unsorted)) % 0.45/0.63 (define @t41 () (@var "X37" $$unsorted)) % 0.45/0.63 (define @t42 () (@var "X35" $$unsorted)) % 0.45/0.63 (define @t43 () (@var "X36" $$unsorted)) % 0.45/0.63 (define @t44 () (@var "X38" $$unsorted)) % 0.45/0.63 (define @t45 () (@var "X39" $$unsorted)) % 0.45/0.63 (define @t46 () (@var "X41" $$unsorted)) % 0.45/0.63 (define @t47 () (@var "X40" $$unsorted)) % 0.45/0.63 (define @t48 () (@var "X43" $$unsorted)) % 0.45/0.63 (define @t49 () (@var "X45" $$unsorted)) % 0.45/0.63 (define @t50 () (@var "X42" $$unsorted)) % 0.45/0.63 (define @t51 () (@var "X44" $$unsorted)) % 0.45/0.63 (define @t52 () (@var "X48" $$unsorted)) % 0.45/0.63 (define @t53 () (@var "X46" $$unsorted)) % 0.45/0.63 (define @t54 () (@var "X47" $$unsorted)) % 0.45/0.63 (define @t55 () (@var "X50" $$unsorted)) % 0.45/0.63 (define @t56 () (@var "X49" $$unsorted)) % 0.45/0.63 (define @t57 () (@var "X51" $$unsorted)) % 0.45/0.63 (define @t58 () (@var "X53" $$unsorted)) % 0.45/0.63 (define @t59 () (@var "X52" $$unsorted)) % 0.45/0.63 (define @t60 () (@var "X55" $$unsorted)) % 0.45/0.63 (define @t61 () (@var "X54" $$unsorted)) % 0.45/0.63 (define @t62 () (@var "X58" $$unsorted)) % 0.45/0.63 (define @t63 () (@var "X57" $$unsorted)) % 0.45/0.63 (define @t64 () (@var "X59" $$unsorted)) % 0.45/0.63 (define @t65 () (@var "X56" $$unsorted)) % 0.45/0.63 (define @t66 () (@var "X62" $$unsorted)) % 0.45/0.63 (define @t67 () (@var "X63" $$unsorted)) % 0.45/0.63 (define @t68 () (@var "X61" $$unsorted)) % 0.45/0.63 (define @t69 () (@var "X60" $$unsorted)) % 0.45/0.63 (define @t70 () (@var "X66" $$unsorted)) % 0.45/0.63 (define @t71 () (@var "X65" $$unsorted)) % 0.45/0.63 (define @t72 () (@var "X64" $$unsorted)) % 0.45/0.63 (define @t73 () (@var "X69" $$unsorted)) % 0.45/0.63 (define @t74 () (@var "X67" $$unsorted)) % 0.45/0.63 (define @t75 () (@var "X68" $$unsorted)) % 0.45/0.63 (define @t76 () (@var "X73" $$unsorted)) % 0.45/0.63 (define @t77 () (@var "X72" $$unsorted)) % 0.45/0.63 (define @t78 () (@var "X71" $$unsorted)) % 0.45/0.63 (define @t79 () (@var "X70" $$unsorted)) % 0.45/0.63 (define @t80 () (@var "X76" $$unsorted)) % 0.45/0.63 (define @t81 () (@var "X74" $$unsorted)) % 0.45/0.63 (define @t82 () (@var "X75" $$unsorted)) % 0.45/0.63 (define @t83 () (@var "X81" $$unsorted)) % 0.45/0.63 (define @t84 () (@var "X79" $$unsorted)) % 0.45/0.63 (define @t85 () (@var "X80" $$unsorted)) % 0.45/0.63 (define @t86 () (@var "X78" $$unsorted)) % 0.45/0.63 (define @t87 () (@var "X77" $$unsorted)) % 0.45/0.63 (define @t88 () (@var "X84" $$unsorted)) % 0.45/0.63 (define @t89 () (@var "X83" $$unsorted)) % 0.45/0.63 (define @t90 () (@var "X82" $$unsorted)) % 0.45/0.63 (define @t91 () (@var "X88" $$unsorted)) % 0.45/0.63 (define @t92 () (@var "X87" $$unsorted)) % 0.45/0.63 (define @t93 () (@var "X85" $$unsorted)) % 0.45/0.63 (define @t94 () (@var "X86" $$unsorted)) % 0.45/0.63 (define @t95 () (@var "X90" $$unsorted)) % 0.45/0.63 (define @t96 () (@var "X89" $$unsorted)) % 0.45/0.63 (define @t97 () (@var "X92" $$unsorted)) % 0.45/0.63 (define @t98 () (@var "X93" $$unsorted)) % 0.45/0.63 (define @t99 () (@var "X91" $$unsorted)) % 0.45/0.63 (define @t100 () (@var "X94" $$unsorted)) % 0.45/0.63 (define @t101 () (@var "X98" $$unsorted)) % 0.45/0.63 (define @t102 () (@var "X99" $$unsorted)) % 0.45/0.63 (define @t103 () (@var "X97" $$unsorted)) % 0.45/0.63 (define @t104 () (or (= @t102 @t103) (= @t102 @t101))) % 0.45/0.63 (define @t105 () (@var "X96" $$unsorted)) % 0.45/0.63 (define @t106 () (tptp.min_precedes @t105 @t102 tptp.tptp0)) % 0.45/0.63 (define @t107 () (=> @t106 @t104)) % 0.45/0.63 (define @t108 () (@list @t102)) % 0.45/0.63 (define @t109 () (forall @t108 @t107)) % 0.45/0.63 (define @t110 () (tptp.min_precedes @t103 @t101 tptp.tptp0)) % 0.45/0.63 (define @t111 () (tptp.occurrence_of @t101 tptp.tptp1)) % 0.45/0.63 (define @t112 () (tptp.occurrence_of @t101 tptp.tptp2)) % 0.45/0.63 (define @t113 () (or @t112 @t111)) % 0.45/0.63 (define @t114 () (tptp.min_precedes @t105 @t103 tptp.tptp0)) % 0.45/0.63 (define @t115 () (tptp.occurrence_of @t103 tptp.tptp4)) % 0.45/0.63 (define @t116 () (@var "X95" $$unsorted)) % 0.45/0.63 (define @t117 () (tptp.root_occ @t105 @t116)) % 0.45/0.63 (define @t118 () (tptp.occurrence_of @t105 tptp.tptp3)) % 0.45/0.63 (define @t119 () (and @t118 @t117 @t115 @t114 @t113 @t110 @t109)) % 0.45/0.63 (define @t120 () (@list @t105 @t103 @t101)) % 0.45/0.63 (define @t121 () (exists @t120 @t119)) % 0.45/0.63 (define @t122 () (tptp.occurrence_of @t116 tptp.tptp0)) % 0.45/0.63 (define @t123 () (=> @t122 @t121)) % 0.45/0.63 (define @t124 () (@list @t116)) % 0.45/0.63 (define @t125 () (forall @t124 @t123)) % 0.45/0.63 (define @t126 () (@var "X102" $$unsorted)) % 0.45/0.63 (define @t127 () (@var "X101" $$unsorted)) % 0.45/0.63 (define @t128 () (tptp.min_precedes @t127 @t126 tptp.tptp0)) % 0.45/0.63 (define @t129 () (tptp.occurrence_of @t126 tptp.tptp1)) % 0.45/0.63 (define @t130 () (tptp.occurrence_of @t126 tptp.tptp2)) % 0.45/0.63 (define @t131 () (or @t130 @t129)) % 0.45/0.63 (define @t132 () (@var "X100" $$unsorted)) % 0.45/0.63 (define @t133 () (tptp.root_occ @t127 @t132)) % 0.45/0.63 (define @t134 () (tptp.occurrence_of @t127 tptp.tptp3)) % 0.45/0.63 (define @t135 () (and @t134 @t133 @t131 @t128)) % 0.45/0.63 (define @t136 () (@list @t127 @t126)) % 0.45/0.63 (define @t137 () (exists @t136 @t135)) % 0.45/0.63 (define @t138 () (tptp.occurrence_of @t132 tptp.tptp0)) % 0.45/0.63 (define @t139 () (=> @t138 @t137)) % 0.45/0.63 (define @t140 () (@list @t132)) % 0.45/0.63 (define @t141 () (forall @t140 @t139)) % 0.45/0.63 (define @t142 () (not @t141)) % 0.45/0.63 (define @t143 () (not @t128)) % 0.45/0.63 (define @t144 () (and (not @t130) (not @t129))) % 0.45/0.63 (define @t145 () (not @t133)) % 0.45/0.63 (define @t146 () (not @t134)) % 0.45/0.63 (define @t147 () (not (forall @t136 (or @t146 @t145 @t144 @t143)))) % 0.45/0.63 (define @t148 () (not @t131)) % 0.45/0.63 (define @t149 () (or @t146 @t145 @t148 @t143)) % 0.45/0.63 (define @t150 () (forall @t136 (not @t135))) % 0.45/0.63 (define @t151 () (not @t150)) % 0.45/0.63 (define @t152 () (@quantifiers_skolemize (forall @t140 (or (not @t138) @t147)) 0)) % 0.45/0.63 (define @t153 () (forall @t136 (or @t146 (not (tptp.root_occ @t127 @t152)) @t144 @t143))) % 0.45/0.63 (define @t154 () (not @t153)) % 0.45/0.63 (define @t155 () (tptp.occurrence_of @t152 tptp.tptp0)) % 0.45/0.63 (define @t156 () (not @t155)) % 0.45/0.63 (define @t157 () (or @t156 @t154)) % 0.45/0.63 (define @t158 () (@list true)) % 0.45/0.63 (define @t159 () (@list @t157)) % 0.45/0.64 (define @t160 () (not @t6)) % 0.45/0.64 (define @t161 () (not @t7)) % 0.45/0.64 (define @t162 () (= @t101 @t102)) % 0.45/0.64 (define @t163 () (= @t103 @t102)) % 0.45/0.64 (define @t164 () (not @t106)) % 0.45/0.64 (define @t165 () (or @t164 @t163 @t162)) % 0.45/0.64 (define @t166 () (forall @t108 @t165)) % 0.45/0.64 (define @t167 () (not @t166)) % 0.45/0.64 (define @t168 () (not @t110)) % 0.45/0.64 (define @t169 () (and (not @t112) (not @t111))) % 0.45/0.64 (define @t170 () (not @t114)) % 0.45/0.64 (define @t171 () (not @t115)) % 0.45/0.64 (define @t172 () (not @t118)) % 0.45/0.64 (define @t173 () (forall @t120 (or @t172 (not (tptp.root_occ @t105 @t152)) @t171 @t170 @t169 @t168 @t167))) % 0.45/0.64 (define @t174 () (@quantifiers_skolemize @t173 2)) % 0.45/0.64 (define @t175 () (@quantifiers_skolemize @t173 1)) % 0.45/0.64 (define @t176 () (@quantifiers_skolemize @t173 0)) % 0.45/0.64 (define @t177 () (not @t117)) % 0.45/0.64 (define @t178 () (not (forall @t120 (or @t172 @t177 @t171 @t170 @t169 @t168 @t167)))) % 0.45/0.64 (define @t179 () (not @t113)) % 0.45/0.64 (define @t180 () (or @t172 @t177 @t171 @t170 @t179 @t168 @t167)) % 0.45/0.64 (define @t181 () (and @t118 @t117 @t115 @t114 @t113 @t110 @t166)) % 0.45/0.64 (define @t182 () (forall @t120 (not @t181))) % 0.45/0.64 (define @t183 () (not @t182)) % 0.45/0.64 (define @t184 () (or @t163 @t162)) % 0.45/0.64 (define @t185 () (not @t173)) % 0.45/0.64 (define @t186 () (or @t156 @t185)) % 0.45/0.64 (define @t187 () (not (tptp.min_precedes @t176 @t102 tptp.tptp0))) % 0.45/0.64 (define @t188 () (tptp.min_precedes @t175 @t174 tptp.tptp0)) % 0.45/0.64 (define @t189 () (not @t188)) % 0.45/0.64 (define @t190 () (and (not (tptp.occurrence_of @t174 tptp.tptp2)) (not (tptp.occurrence_of @t174 tptp.tptp1)))) % 0.45/0.64 (define @t191 () (tptp.min_precedes @t176 @t175 tptp.tptp0)) % 0.45/0.64 (define @t192 () (not @t191)) % 0.45/0.64 (define @t193 () (not (tptp.occurrence_of @t175 tptp.tptp4))) % 0.45/0.64 (define @t194 () (tptp.root_occ @t176 @t152)) % 0.45/0.64 (define @t195 () (not @t194)) % 0.45/0.64 (define @t196 () (tptp.occurrence_of @t176 tptp.tptp3)) % 0.45/0.64 (define @t197 () (not @t196)) % 0.45/0.64 (define @t198 () (or @t197 @t195 @t193 @t192 @t190 @t189 (not (forall @t108 (or @t187 (= @t102 @t175) (= @t102 @t174)))))) % 0.45/0.64 (define @t199 () (not @t198)) % 0.45/0.64 (define @t200 () (or @t187 (= @t175 @t102) (= @t174 @t102))) % 0.45/0.64 (define @t201 () (forall @t108 @t200)) % 0.45/0.64 (define @t202 () (not @t201)) % 0.45/0.64 (define @t203 () (or @t197 @t195 @t193 @t192 @t190 @t189 @t202)) % 0.45/0.64 (define @t204 () (not @t203)) % 0.45/0.64 (define @t205 () (@list @t198)) % 0.45/0.64 (define @t206 () (tptp.min_precedes @t176 @t174 tptp.tptp0)) % 0.45/0.64 (define @t207 () (or @t192 @t189 @t206)) % 0.45/0.64 (define @t208 () (not @t206)) % 0.45/0.64 (define @t209 () (or @t197 @t195 @t190 @t208)) % 0.45/0.64 (define @t210 () (not @t209)) % 0.45/0.64 (assume @p1 @t9) % 0.45/0.64 (assume @p2 (forall (@list @t11 @t12 @t10) (=> (and (tptp.earlier @t11 @t12) (tptp.earlier @t12 @t10)) (tptp.earlier @t11 @t10)))) % 0.45/0.64 (assume @p3 (forall (@list @t14 @t13 @t15 @t16) (=> (and (tptp.occurrence_of @t15 @t16) (tptp.root_occ @t14 @t15) (tptp.root_occ @t13 @t15)) (= @t14 @t13)))) % 0.45/0.64 (assume @p4 (forall (@list @t18 @t17 @t19 @t20) (=> (and (tptp.occurrence_of @t19 @t20) (not (tptp.atomic @t20)) (tptp.leaf_occ @t18 @t19) (tptp.leaf_occ @t17 @t19)) (= @t18 @t17)))) % 0.45/0.64 (assume @p5 (forall (@list @t24 @t22 @t21) (= (tptp.next_subocc @t24 @t22 @t21) (and (tptp.min_precedes @t24 @t22 @t21) (not (exists (@list @t23) (and (tptp.min_precedes @t24 @t23 @t21) (tptp.min_precedes @t23 @t22 @t21)))))))) % 0.45/0.64 (assume @p6 (forall (@list @t26 @t25 @t27) (=> (tptp.next_subocc @t26 @t25 @t27) (and (tptp.arboreal @t26) (tptp.arboreal @t25))))) % 0.45/0.64 (assume @p7 (forall (@list @t29 @t28 @t30) (=> (tptp.min_precedes @t29 @t28 @t30) (tptp.precedes @t29 @t28)))) % 0.45/0.64 (assume @p8 (forall (@list @t33 @t32 @t31) (=> (tptp.min_precedes @t33 @t32 @t31) (not (tptp.root @t32 @t31))))) % 0.45/0.64 (assume @p9 (forall (@list @t35 @t34) (= (tptp.precedes @t35 @t34) (and (tptp.earlier @t35 @t34) (tptp.legal @t34))))) % 0.45/0.64 (assume @p10 (forall (@list @t36 @t37) (=> (tptp.earlier @t36 @t37) (not (tptp.earlier @t37 @t36))))) % 0.45/0.64 (assume @p11 (forall (@list @t39 @t40) (= (tptp.root_occ @t39 @t40) (exists (@list @t38) (and (tptp.occurrence_of @t40 @t38) (tptp.subactivity_occurrence @t39 @t40) (tptp.root @t39 @t38)))))) % 0.45/0.64 (assume @p12 (forall (@list @t42 @t43) (= (tptp.leaf_occ @t42 @t43) (exists (@list @t41) (and (tptp.occurrence_of @t43 @t41) (tptp.subactivity_occurrence @t42 @t43) (tptp.leaf @t42 @t41)))))) % 0.45/0.64 (assume @p13 (forall (@list @t44 @t45) (=> (tptp.root @t44 @t45) (tptp.legal @t44)))) % 0.45/0.64 (assume @p14 (forall (@list @t47 @t46) (=> (tptp.occurrence_of @t47 @t46) (= (tptp.arboreal @t47) (tptp.atomic @t46))))) % 0.45/0.64 (assume @p15 (forall (@list @t50 @t48) (= (tptp.leaf @t50 @t48) (and (or (tptp.root @t50 @t48) (exists (@list @t51) (tptp.min_precedes @t51 @t50 @t48))) (not (exists (@list @t49) (tptp.min_precedes @t50 @t49 @t48))))))) % 0.45/0.64 (assume @p16 (forall (@list @t53 @t54) (= (tptp.atocc @t53 @t54) (exists (@list @t52) (and (tptp.subactivity @t54 @t52) (tptp.atomic @t52) (tptp.occurrence_of @t53 @t52)))))) % 0.45/0.64 (assume @p17 (forall (@list @t56 @t55) (=> (and (tptp.atocc @t56 @t55) (tptp.legal @t56)) (tptp.root @t56 @t55)))) % 0.45/0.64 (assume @p18 (forall (@list @t57) (=> (tptp.legal @t57) (tptp.arboreal @t57)))) % 0.45/0.64 (assume @p19 (forall (@list @t59) (=> (tptp.activity_occurrence @t59) (exists (@list @t58) (and (tptp.activity @t58) (tptp.occurrence_of @t59 @t58)))))) % 0.45/0.64 (assume @p20 (forall (@list @t61 @t60) (=> (tptp.subactivity_occurrence @t61 @t60) (and (tptp.activity_occurrence @t61) (tptp.activity_occurrence @t60))))) % 0.45/0.64 (assume @p21 (forall (@list @t65 @t63 @t62) (=> (and (tptp.occurrence_of @t65 @t62) (tptp.root_occ @t63 @t65)) (not (exists (@list @t64) (tptp.min_precedes @t64 @t63 @t62)))))) % 0.45/0.64 (assume @p22 (forall (@list @t69 @t68 @t66) (=> (and (tptp.occurrence_of @t69 @t66) (tptp.leaf_occ @t68 @t69)) (not (exists (@list @t67) (tptp.min_precedes @t68 @t67 @t66)))))) % 0.45/0.64 (assume @p23 (forall (@list @t72 @t71 @t70) (=> (and (tptp.occurrence_of @t72 @t71) (tptp.occurrence_of @t72 @t70)) (= @t71 @t70)))) % 0.45/0.64 (assume @p24 (forall (@list @t74 @t75) (=> (and (tptp.leaf @t74 @t75) (not (tptp.atomic @t75))) (exists (@list @t73) (and (tptp.occurrence_of @t73 @t75) (tptp.leaf_occ @t74 @t73)))))) % 0.45/0.64 (assume @p25 (forall (@list @t79 @t78 @t77) (=> (tptp.min_precedes @t78 @t77 @t79) (exists (@list @t76) (and (tptp.occurrence_of @t76 @t79) (tptp.subactivity_occurrence @t78 @t76) (tptp.subactivity_occurrence @t77 @t76)))))) % 0.45/0.64 (assume @p26 (forall (@list @t81 @t82) (=> (and (tptp.leaf @t81 @t82) (not (tptp.atomic @t82))) (exists (@list @t80) (and (tptp.occurrence_of @t80 @t82) (tptp.leaf_occ @t81 @t80)))))) % 0.45/0.64 (assume @p27 (forall (@list @t87 @t86 @t84) (=> (tptp.min_precedes @t86 @t84 @t87) (exists (@list @t85 @t83) (and (tptp.subactivity @t85 @t87) (tptp.subactivity @t83 @t87) (tptp.atocc @t86 @t85) (tptp.atocc @t84 @t83)))))) % 0.45/0.64 (assume @p28 (forall (@list @t90 @t89) (=> (tptp.root @t89 @t90) (exists (@list @t88) (and (tptp.subactivity @t88 @t90) (tptp.atocc @t89 @t88)))))) % 0.45/0.64 (assume @p29 (forall (@list @t93 @t94 @t92 @t91) (=> (and (tptp.occurrence_of @t94 @t93) (tptp.arboreal @t92) (tptp.arboreal @t91) (tptp.subactivity_occurrence @t92 @t94) (tptp.subactivity_occurrence @t91 @t94)) (or (tptp.min_precedes @t92 @t91 @t93) (tptp.min_precedes @t91 @t92 @t93) (= @t92 @t91))))) % 0.45/0.64 (assume @p30 (forall (@list @t96 @t95) (=> (tptp.occurrence_of @t95 @t96) (and (tptp.activity @t96) (tptp.activity_occurrence @t95))))) % 0.45/0.64 (assume @p31 (forall (@list @t99 @t97) (=> (and (tptp.occurrence_of @t97 @t99) (not (tptp.atomic @t99))) (exists (@list @t98) (and (tptp.root @t98 @t99) (tptp.subactivity_occurrence @t98 @t97)))))) % 0.45/0.64 (assume @p32 (forall (@list @t100) (=> (tptp.activity @t100) (tptp.subactivity @t100 @t100)))) % 0.45/0.64 (assume @p33 @t125) % 0.45/0.64 (assume @p34 (tptp.activity tptp.tptp0)) % 0.45/0.64 (assume @p35 (not (tptp.atomic tptp.tptp0))) % 0.45/0.64 (assume @p36 (tptp.atomic tptp.tptp4)) % 0.45/0.64 (assume @p37 (tptp.atomic tptp.tptp2)) % 0.45/0.64 (assume @p38 (tptp.atomic tptp.tptp1)) % 0.45/0.64 (assume @p39 (tptp.atomic tptp.tptp3)) % 0.45/0.64 (assume @p40 (not (= tptp.tptp4 tptp.tptp3))) % 0.45/0.64 (assume @p41 (not (= tptp.tptp4 tptp.tptp2))) % 0.45/0.64 (assume @p42 (not (= tptp.tptp4 tptp.tptp1))) % 0.45/0.64 (assume @p43 (not (= tptp.tptp3 tptp.tptp2))) % 0.45/0.64 (assume @p44 (not (= tptp.tptp3 tptp.tptp1))) % 0.45/0.64 (assume @p45 (not (= tptp.tptp2 tptp.tptp1))) % 0.45/0.64 (assume @p46 @t142) % 0.45/0.64 (assume @p47 true) % 0.45/0.64 (step @p48 :rule bool-impl-elim :args (@t138 @t147)) % 0.45/0.64 (step @p49 :rule cong :premises (@p48) :args ((forall @t140 (=> @t138 @t147)))) % 0.45/0.64 (step @p50 :rule refl :args (@t143)) % 0.45/0.64 (step @p51 :rule bool-or-de-morgan :args (@t130 @t129 false)) % 0.45/0.64 (step @p52 :rule refl :args (@t145)) % 0.45/0.64 (step @p53 :rule refl :args (@t146)) % 0.45/0.64 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51 @p50) :args (@t149)) % 0.45/0.64 (step @p55 :rule aci_norm :args ((= (or @t146 (or @t145 (or @t148 @t143))) @t149))) % 0.45/0.64 (step @p56 :rule bool-and-de-morgan :args (@t131 @t128 true)) % 0.45/0.64 (step @p57 :rule nary_cong :premises (@p52 @p56) :args ((or @t145 (not (and @t131 @t128))))) % 0.45/0.64 (step @p58 :rule bool-and-de-morgan :args (@t133 @t131 (and @t128))) % 0.45/0.64 (step @p59 :rule trans :premises (@p58 @p57)) % 0.45/0.64 (step @p60 :rule nary_cong :premises (@p53 @p59) :args ((or @t146 (not (and @t133 @t131 @t128))))) % 0.45/0.64 (step @p61 :rule bool-and-de-morgan :args (@t134 @t133 (and @t131 @t128))) % 0.45/0.64 (step @p62 :rule trans :premises (@p61 @p60)) % 0.45/0.64 (step @p63 :rule trans :premises (@p62 @p55)) % 0.45/0.64 (step @p64 :rule trans :premises (@p63 @p54)) % 0.45/0.64 (step @p65 :rule cong :premises (@p64) :args (@t150)) % 0.45/0.64 (step @p66 :rule cong :premises (@p65) :args (@t151)) % 0.45/0.64 (step @p67 :rule exists-elim :args ((= @t137 @t151))) % 0.45/0.64 (step @p68 :rule trans :premises (@p67 @p66)) % 0.45/0.64 (step @p69 :rule refl :args (@t138)) % 0.45/0.64 (step @p70 :rule cong :premises (@p69 @p68) :args (@t139)) % 0.45/0.64 (step @p71 :rule cong :premises (@p70) :args (@t141)) % 0.45/0.64 (step @p72 :rule trans :premises (@p71 @p49)) % 0.45/0.64 (step @p73 :rule cong :premises (@p72) :args (@t142)) % 0.45/0.64 (step @p74 :rule eq_resolve :premises (@p46 @p73)) % 0.45/0.64 (step @p75 :rule skolemize :premises (@p74)) % 0.45/0.64 (step @p76 :rule bool-double-not-elim :args (@t153)) % 0.45/0.64 (step @p77 :rule refl :args (@t157)) % 0.45/0.64 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t157 (not @t154)))) % 0.45/0.64 (step @p79 :rule cnf_or_neg :args (@t157 1)) % 0.45/0.64 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.45/0.64 (step @p81 :rule reordering :premises (@p80) :args ((or @t153 @t157))) % 0.45/0.64 (step @p82 :rule chain_m_resolution :premises (@p81 @p75) :args (@t153 @t158 @t159)) % 0.45/0.64 (step @p83 :rule aci_norm :args ((= (or (or @t161 @t160) @t4) (or @t161 @t160 @t4)))) % 0.45/0.64 (step @p84 :rule refl :args (@t4)) % 0.45/0.64 (step @p85 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.45/0.64 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or (not @t8) @t4))) % 0.45/0.64 (step @p87 :rule trans :premises (@p86 @p83)) % 0.45/0.64 (step @p88 :rule bool-impl-elim :args (@t8 @t4)) % 0.45/0.64 (step @p89 :rule trans :premises (@p88 @p87)) % 0.45/0.64 (step @p90 :rule cong :premises (@p89) :args (@t9)) % 0.45/0.64 (step @p91 :rule eq_resolve :premises (@p1 @p90)) % 0.45/0.64 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t176 @t175 @t174 tptp.tptp0))) % 0.45/0.64 (step @p93 :rule bool-impl-elim :args (@t122 @t178)) % 0.45/0.64 (step @p94 :rule cong :premises (@p93) :args ((forall @t124 (=> @t122 @t178)))) % 0.45/0.64 (step @p95 :rule refl :args (@t167)) % 0.45/0.64 (step @p96 :rule refl :args (@t168)) % 0.45/0.64 (step @p97 :rule bool-or-de-morgan :args (@t112 @t111 false)) % 0.45/0.64 (step @p98 :rule refl :args (@t170)) % 0.45/0.64 (step @p99 :rule refl :args (@t171)) % 0.45/0.64 (step @p100 :rule refl :args (@t177)) % 0.45/0.64 (step @p101 :rule refl :args (@t172)) % 0.45/0.64 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99 @p98 @p97 @p96 @p95) :args (@t180)) % 0.45/0.64 (step @p103 :rule aci_norm :args ((= (or @t172 (or @t177 (or @t171 (or @t170 (or @t179 (or @t168 @t167)))))) @t180))) % 0.45/0.64 (step @p104 :rule bool-and-de-morgan :args (@t110 @t166 true)) % 0.45/0.64 (step @p105 :rule refl :args (@t179)) % 0.45/0.64 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t179 (not (and @t110 @t166))))) % 0.45/0.64 (step @p107 :rule bool-and-de-morgan :args (@t113 @t110 (and @t166))) % 0.45/0.64 (step @p108 :rule trans :premises (@p107 @p106)) % 0.45/0.64 (step @p109 :rule nary_cong :premises (@p98 @p108) :args ((or @t170 (not (and @t113 @t110 @t166))))) % 0.45/0.64 (step @p110 :rule bool-and-de-morgan :args (@t114 @t113 (and @t110 @t166))) % 0.45/0.64 (step @p111 :rule trans :premises (@p110 @p109)) % 0.45/0.64 (step @p112 :rule nary_cong :premises (@p99 @p111) :args ((or @t171 (not (and @t114 @t113 @t110 @t166))))) % 0.45/0.64 (step @p113 :rule bool-and-de-morgan :args (@t115 @t114 (and @t113 @t110 @t166))) % 0.45/0.64 (step @p114 :rule trans :premises (@p113 @p112)) % 0.45/0.64 (step @p115 :rule nary_cong :premises (@p100 @p114) :args ((or @t177 (not (and @t115 @t114 @t113 @t110 @t166))))) % 0.45/0.64 (step @p116 :rule bool-and-de-morgan :args (@t117 @t115 (and @t114 @t113 @t110 @t166))) % 0.45/0.64 (step @p117 :rule trans :premises (@p116 @p115)) % 0.45/0.64 (step @p118 :rule nary_cong :premises (@p101 @p117) :args ((or @t172 (not (and @t117 @t115 @t114 @t113 @t110 @t166))))) % 0.45/0.64 (step @p119 :rule bool-and-de-morgan :args (@t118 @t117 (and @t115 @t114 @t113 @t110 @t166))) % 0.45/0.64 (step @p120 :rule trans :premises (@p119 @p118)) % 0.45/0.64 (step @p121 :rule trans :premises (@p120 @p103)) % 0.45/0.64 (step @p122 :rule trans :premises (@p121 @p102)) % 0.45/0.64 (step @p123 :rule cong :premises (@p122) :args (@t182)) % 0.45/0.64 (step @p124 :rule cong :premises (@p123) :args (@t183)) % 0.45/0.64 (step @p125 :rule exists-elim :args ((= (exists @t120 @t181) @t183))) % 0.45/0.64 (step @p126 :rule trans :premises (@p125 @p124)) % 0.45/0.64 (step @p127 :rule aci_norm :args ((= (or @t164 @t184) @t165))) % 0.45/0.64 (step @p128 :rule bool-impl-elim :args (@t106 @t184)) % 0.45/0.64 (step @p129 :rule trans :premises (@p128 @p127)) % 0.45/0.64 (step @p130 :rule cong :premises (@p129) :args ((forall @t108 (=> @t106 @t184)))) % 0.45/0.64 (step @p131 :rule eq-symm :args (@t102 @t101)) % 0.45/0.64 (step @p132 :rule eq-symm :args (@t102 @t103)) % 0.45/0.64 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t104)) % 0.45/0.64 (step @p134 :rule refl :args (@t106)) % 0.45/0.64 (step @p135 :rule cong :premises (@p134 @p133) :args (@t107)) % 0.45/0.64 (step @p136 :rule cong :premises (@p135) :args (@t109)) % 0.45/0.64 (step @p137 :rule trans :premises (@p136 @p130)) % 0.45/0.64 (step @p138 :rule refl :args (@t110)) % 0.45/0.64 (step @p139 :rule refl :args (@t113)) % 0.45/0.64 (step @p140 :rule refl :args (@t114)) % 0.45/0.64 (step @p141 :rule refl :args (@t115)) % 0.45/0.64 (step @p142 :rule refl :args (@t117)) % 0.45/0.64 (step @p143 :rule refl :args (@t118)) % 0.45/0.64 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141 @p140 @p139 @p138 @p137) :args (@t119)) % 0.45/0.64 (step @p145 :rule cong :premises (@p144) :args (@t121)) % 0.45/0.64 (step @p146 :rule trans :premises (@p145 @p126)) % 0.45/0.64 (step @p147 :rule refl :args (@t122)) % 0.45/0.64 (step @p148 :rule cong :premises (@p147 @p146) :args (@t123)) % 0.45/0.64 (step @p149 :rule cong :premises (@p148) :args (@t125)) % 0.45/0.64 (step @p150 :rule trans :premises (@p149 @p94)) % 0.45/0.64 (step @p151 :rule eq_resolve :premises (@p33 @p150)) % 0.45/0.64 (step @p152 :rule instantiate :premises (@p151) :args ((@list @t152))) % 0.45/0.64 (step @p153 :rule bool-double-not-elim :args (@t155)) % 0.45/0.64 (step @p154 :rule nary_cong :premises (@p77 @p153) :args ((or @t157 (not @t156)))) % 0.45/0.64 (step @p155 :rule cnf_or_neg :args (@t157 0)) % 0.45/0.64 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 0.45/0.64 (step @p157 :rule reordering :premises (@p156) :args ((or @t155 @t157))) % 0.45/0.64 (step @p158 :rule chain_m_resolution :premises (@p157 @p75) :args (@t155 @t158 @t159)) % 0.45/0.64 (step @p159 :rule cnf_or_pos :args (@t186)) % 0.45/0.64 (step @p160 :rule reordering :premises (@p159) :args ((or @t156 @t185 (not @t186)))) % 0.45/0.64 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p152) :args (@t185 (@list false false) (@list @t155 @t186))) % 0.45/0.64 (step @p162 :rule refl :args (@t199)) % 0.45/0.64 (step @p163 :rule bool-double-not-elim :args (@t173)) % 0.45/0.64 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or (not @t185) @t199))) % 0.45/0.64 (step @p165 :rule eq-symm :args (@t174 @t102)) % 0.45/0.64 (step @p166 :rule eq-symm :args (@t175 @t102)) % 0.45/0.64 (step @p167 :rule refl :args (@t187)) % 0.45/0.64 (step @p168 :rule nary_cong :premises (@p167 @p166 @p165) :args (@t200)) % 0.45/0.64 (step @p169 :rule cong :premises (@p168) :args (@t201)) % 0.45/0.64 (step @p170 :rule cong :premises (@p169) :args (@t202)) % 0.45/0.64 (step @p171 :rule refl :args (@t189)) % 0.45/0.64 (step @p172 :rule refl :args (@t190)) % 0.45/0.64 (step @p173 :rule refl :args (@t192)) % 0.45/0.64 (step @p174 :rule refl :args (@t193)) % 0.45/0.64 (step @p175 :rule refl :args (@t195)) % 0.45/0.64 (step @p176 :rule refl :args (@t197)) % 0.45/0.64 (step @p177 :rule nary_cong :premises (@p176 @p175 @p174 @p173 @p172 @p171 @p170) :args (@t203)) % 0.45/0.64 (step @p178 :rule cong :premises (@p177) :args (@t204)) % 0.45/0.64 (step @p179 :rule refl :args (@t185)) % 0.45/0.64 (step @p180 :rule cong :premises (@p179 @p178) :args ((=> @t185 @t204))) % 0.45/0.64 (assume-push @p228 @t185) % 0.45/0.64 (step @p182 :rule skolemize :premises (@p161)) % 0.45/0.64 (step-pop @p229 :rule scope :premises (@p182)) % 0.45/0.64 (step @p183 :rule process_scope :premises (@p229) :args (@t204)) % 0.45/0.64 (step @p185 :rule eq_resolve :premises (@p183 @p180)) % 0.45/0.64 (step @p186 :rule implies_elim :premises (@p185)) % 0.45/0.64 (step @p187 :rule eq_resolve :premises (@p186 @p164)) % 0.45/0.64 (step @p188 :rule chain_m_resolution :premises (@p187 @p161) :args (@t199 @t158 (@list @t173))) % 0.45/0.64 (step @p189 :rule bool-double-not-elim :args (@t188)) % 0.45/0.64 (step @p190 :rule refl :args (@t198)) % 0.45/0.64 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((or @t198 (not @t189)))) % 0.45/0.64 (step @p192 :rule cnf_or_neg :args (@t198 5)) % 0.45/0.64 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 0.45/0.64 (step @p194 :rule reordering :premises (@p193) :args ((or @t188 @t198))) % 0.45/0.64 (step @p195 :rule chain_m_resolution :premises (@p194 @p188) :args (@t188 @t158 @t205)) % 0.45/0.64 (step @p196 :rule bool-double-not-elim :args (@t191)) % 0.45/0.64 (step @p197 :rule nary_cong :premises (@p190 @p196) :args ((or @t198 (not @t192)))) % 0.45/0.64 (step @p198 :rule cnf_or_neg :args (@t198 3)) % 0.45/0.64 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 0.45/0.64 (step @p200 :rule reordering :premises (@p199) :args ((or @t191 @t198))) % 0.45/0.64 (step @p201 :rule chain_m_resolution :premises (@p200 @p188) :args (@t191 @t158 @t205)) % 0.45/0.64 (step @p202 :rule cnf_or_pos :args (@t207)) % 0.45/0.64 (step @p203 :rule reordering :premises (@p202) :args ((or @t192 @t189 @t206 (not @t207)))) % 0.45/0.64 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p195 @p92) :args (@t206 (@list false false false) (@list @t191 @t188 @t207))) % 0.45/0.64 (step @p205 :rule cnf_or_neg :args (@t198 4)) % 0.45/0.64 (step @p206 :rule chain_m_resolution :premises (@p205 @p188) :args ((not @t190) @t158 @t205)) % 0.45/0.64 (step @p207 :rule bool-double-not-elim :args (@t194)) % 0.45/0.64 (step @p208 :rule nary_cong :premises (@p190 @p207) :args ((or @t198 (not @t195)))) % 0.45/0.64 (step @p209 :rule cnf_or_neg :args (@t198 1)) % 0.45/0.64 (step @p210 :rule eq_resolve :premises (@p209 @p208)) % 0.45/0.64 (step @p211 :rule reordering :premises (@p210) :args ((or @t194 @t198))) % 0.45/0.64 (step @p212 :rule chain_m_resolution :premises (@p211 @p188) :args (@t194 @t158 @t205)) % 0.45/0.64 (step @p213 :rule bool-double-not-elim :args (@t196)) % 0.45/0.64 (step @p214 :rule nary_cong :premises (@p190 @p213) :args ((or @t198 (not @t197)))) % 0.45/0.64 (step @p215 :rule cnf_or_neg :args (@t198 0)) % 0.45/0.64 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 0.45/0.64 (step @p217 :rule reordering :premises (@p216) :args ((or @t196 @t198))) % 0.45/0.64 (step @p218 :rule chain_m_resolution :premises (@p217 @p188) :args (@t196 @t158 @t205)) % 0.45/0.64 (step @p219 :rule cnf_or_pos :args (@t209)) % 0.45/0.64 (step @p220 :rule reordering :premises (@p219) :args ((or @t197 @t195 @t190 @t208 @t210))) % 0.45/0.64 (step @p221 :rule chain_m_resolution :premises (@p220 @p218 @p212 @p206 @p204) :args (@t210 (@list false false true false) (@list @t196 @t194 @t190 @t206))) % 0.45/0.64 (assume-push @p230 @t153) % 0.45/0.64 (step @p223 :rule instantiate :premises (@p82) :args ((@list @t176 @t174))) % 0.45/0.64 (step-pop @p231 :rule scope :premises (@p223)) % 0.45/0.64 (step @p224 :rule process_scope :premises (@p231) :args (@t209)) % 0.45/0.64 (step @p226 :rule implies_elim :premises (@p224)) % 0.45/0.64 (step @p227 false :rule chain_m_resolution :premises (@p226 @p221 @p82) :args (false (@list true false) (@list @t209 @t153))) % 0.45/0.64 ) % 0.45/0.64 % SZS output end Proof % 0.45/0.64 % cvc5 exiting %------------------------------------------------------------------------------