%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PRO010+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 : n016.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 207.40s 207.63s % Output : Proof 207.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PRO010+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 13:08:39 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 207.40/207.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 207.40/207.63 --- Run --no-e-matching --full-saturate-quant at 6... % 207.40/207.63 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 207.40/207.63 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 207.40/207.63 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 207.40/207.63 --- Run --trigger-sel=max --full-saturate-quant at 15... % 207.40/207.63 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 207.40/207.63 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 207.40/207.63 --- Run --prenex-quant=none --full-saturate-quant at 30... % 207.40/207.63 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 207.40/207.63 --- Run --relevant-triggers --full-saturate-quant at 30... % 207.40/207.63 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 207.40/207.63 % SZS status Theorem % 207.40/207.63 % SZS output start Proof % 207.40/207.63 ( % 207.40/207.63 (declare-sort $$unsorted 0) % 207.40/207.63 (declare-const tptp.tptp4 $$unsorted) % 207.40/207.63 (declare-const tptp.tptp1 $$unsorted) % 207.40/207.63 (declare-const tptp.atocc (-> $$unsorted $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.activity_occurrence (-> $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.subactivity (-> $$unsorted $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.min_precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.earlier (-> $$unsorted $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.activity (-> $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.atomic (-> $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.precedes (-> $$unsorted $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.root_occ (-> $$unsorted $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.occurrence_of (-> $$unsorted $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.tptp3 $$unsorted) % 207.40/207.63 (declare-const tptp.legal (-> $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.leaf_occ (-> $$unsorted $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.root (-> $$unsorted $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.next_subocc (-> $$unsorted $$unsorted $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.subactivity_occurrence (-> $$unsorted $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.tptp0 $$unsorted) % 207.40/207.63 (declare-const tptp.arboreal (-> $$unsorted Bool)) % 207.40/207.63 (declare-const tptp.tptp2 $$unsorted) % 207.40/207.63 (declare-const tptp.leaf (-> $$unsorted $$unsorted Bool)) % 207.40/207.63 (define @t1 () (@var "X3" $$unsorted)) % 207.40/207.63 (define @t2 () (@var "X2" $$unsorted)) % 207.40/207.63 (define @t3 () (@var "X0" $$unsorted)) % 207.40/207.63 (define @t4 () (@var "X1" $$unsorted)) % 207.40/207.63 (define @t5 () (@var "X6" $$unsorted)) % 207.40/207.63 (define @t6 () (@var "X4" $$unsorted)) % 207.40/207.63 (define @t7 () (@var "X5" $$unsorted)) % 207.40/207.63 (define @t8 () (@var "X8" $$unsorted)) % 207.40/207.63 (define @t9 () (@var "X7" $$unsorted)) % 207.40/207.63 (define @t10 () (@var "X9" $$unsorted)) % 207.40/207.63 (define @t11 () (@var "X10" $$unsorted)) % 207.40/207.63 (define @t12 () (@var "X12" $$unsorted)) % 207.40/207.63 (define @t13 () (@var "X11" $$unsorted)) % 207.40/207.63 (define @t14 () (@var "X13" $$unsorted)) % 207.40/207.63 (define @t15 () (@var "X14" $$unsorted)) % 207.40/207.63 (define @t16 () (@var "X17" $$unsorted)) % 207.40/207.63 (define @t17 () (@var "X16" $$unsorted)) % 207.40/207.63 (define @t18 () (@var "X18" $$unsorted)) % 207.40/207.63 (define @t19 () (@var "X15" $$unsorted)) % 207.40/207.63 (define @t20 () (@var "X20" $$unsorted)) % 207.40/207.63 (define @t21 () (@var "X19" $$unsorted)) % 207.40/207.63 (define @t22 () (@var "X21" $$unsorted)) % 207.40/207.63 (define @t23 () (@var "X23" $$unsorted)) % 207.40/207.63 (define @t24 () (@var "X22" $$unsorted)) % 207.40/207.63 (define @t25 () (@var "X24" $$unsorted)) % 207.40/207.63 (define @t26 () (@var "X27" $$unsorted)) % 207.40/207.63 (define @t27 () (@var "X26" $$unsorted)) % 207.40/207.63 (define @t28 () (@var "X25" $$unsorted)) % 207.40/207.63 (define @t29 () (@var "X29" $$unsorted)) % 207.40/207.63 (define @t30 () (@var "X28" $$unsorted)) % 207.40/207.63 (define @t31 () (@var "X30" $$unsorted)) % 207.40/207.63 (define @t32 () (@var "X31" $$unsorted)) % 207.40/207.63 (define @t33 () (@var "X34" $$unsorted)) % 207.40/207.63 (define @t34 () (@var "X32" $$unsorted)) % 207.40/207.63 (define @t35 () (@var "X33" $$unsorted)) % 207.40/207.63 (define @t36 () (@var "X37" $$unsorted)) % 207.40/207.63 (define @t37 () (@var "X35" $$unsorted)) % 207.40/207.63 (define @t38 () (@var "X36" $$unsorted)) % 207.40/207.63 (define @t39 () (@var "X38" $$unsorted)) % 207.40/207.63 (define @t40 () (@var "X39" $$unsorted)) % 207.40/207.63 (define @t41 () (@var "X41" $$unsorted)) % 207.40/207.63 (define @t42 () (@var "X40" $$unsorted)) % 207.40/207.63 (define @t43 () (@var "X43" $$unsorted)) % 207.40/207.63 (define @t44 () (@var "X45" $$unsorted)) % 207.40/207.63 (define @t45 () (@var "X42" $$unsorted)) % 207.40/207.63 (define @t46 () (@var "X44" $$unsorted)) % 207.40/207.63 (define @t47 () (@var "X48" $$unsorted)) % 207.40/207.63 (define @t48 () (@var "X46" $$unsorted)) % 207.40/207.63 (define @t49 () (tptp.occurrence_of @t48 @t47)) % 207.40/207.63 (define @t50 () (tptp.atomic @t47)) % 207.40/207.63 (define @t51 () (@var "X47" $$unsorted)) % 207.40/207.63 (define @t52 () (tptp.subactivity @t51 @t47)) % 207.40/207.63 (define @t53 () (and @t52 @t50 @t49)) % 207.40/207.63 (define @t54 () (@list @t47)) % 207.40/207.63 (define @t55 () (exists @t54 @t53)) % 207.40/207.63 (define @t56 () (tptp.atocc @t48 @t51)) % 207.40/207.63 (define @t57 () (= @t56 @t55)) % 207.40/207.63 (define @t58 () (@list @t48 @t51)) % 207.40/207.63 (define @t59 () (forall @t58 @t57)) % 207.40/207.63 (define @t60 () (@var "X50" $$unsorted)) % 207.40/207.63 (define @t61 () (@var "X49" $$unsorted)) % 207.40/207.63 (define @t62 () (@var "X51" $$unsorted)) % 207.40/207.63 (define @t63 () (@var "X53" $$unsorted)) % 207.40/207.63 (define @t64 () (@var "X52" $$unsorted)) % 207.40/207.63 (define @t65 () (@var "X55" $$unsorted)) % 207.40/207.63 (define @t66 () (@var "X54" $$unsorted)) % 207.40/207.63 (define @t67 () (@var "X58" $$unsorted)) % 207.40/207.63 (define @t68 () (@var "X57" $$unsorted)) % 207.40/207.63 (define @t69 () (@var "X59" $$unsorted)) % 207.40/207.63 (define @t70 () (@var "X56" $$unsorted)) % 207.40/207.63 (define @t71 () (@var "X62" $$unsorted)) % 207.40/207.63 (define @t72 () (@var "X63" $$unsorted)) % 207.40/207.63 (define @t73 () (@var "X61" $$unsorted)) % 207.40/207.63 (define @t74 () (@var "X60" $$unsorted)) % 207.40/207.63 (define @t75 () (@var "X66" $$unsorted)) % 207.40/207.63 (define @t76 () (@var "X65" $$unsorted)) % 207.40/207.63 (define @t77 () (= @t76 @t75)) % 207.40/207.63 (define @t78 () (@var "X64" $$unsorted)) % 207.40/207.63 (define @t79 () (tptp.occurrence_of @t78 @t75)) % 207.40/207.63 (define @t80 () (tptp.occurrence_of @t78 @t76)) % 207.40/207.63 (define @t81 () (and @t80 @t79)) % 207.40/207.63 (define @t82 () (@list @t78 @t76 @t75)) % 207.40/207.63 (define @t83 () (forall @t82 (=> @t81 @t77))) % 207.40/207.63 (define @t84 () (@var "X69" $$unsorted)) % 207.40/207.63 (define @t85 () (@var "X67" $$unsorted)) % 207.40/207.63 (define @t86 () (@var "X68" $$unsorted)) % 207.40/207.63 (define @t87 () (@var "X73" $$unsorted)) % 207.40/207.63 (define @t88 () (@var "X72" $$unsorted)) % 207.40/207.63 (define @t89 () (@var "X71" $$unsorted)) % 207.40/207.63 (define @t90 () (@var "X70" $$unsorted)) % 207.40/207.63 (define @t91 () (@var "X76" $$unsorted)) % 207.40/207.63 (define @t92 () (@var "X74" $$unsorted)) % 207.40/207.63 (define @t93 () (@var "X75" $$unsorted)) % 207.40/207.63 (define @t94 () (@var "X81" $$unsorted)) % 207.40/207.63 (define @t95 () (@var "X79" $$unsorted)) % 207.40/207.63 (define @t96 () (tptp.atocc @t95 @t94)) % 207.40/207.63 (define @t97 () (@var "X80" $$unsorted)) % 207.40/207.63 (define @t98 () (@var "X78" $$unsorted)) % 207.40/207.63 (define @t99 () (tptp.atocc @t98 @t97)) % 207.40/207.63 (define @t100 () (@var "X77" $$unsorted)) % 207.40/207.63 (define @t101 () (tptp.subactivity @t94 @t100)) % 207.40/207.63 (define @t102 () (tptp.subactivity @t97 @t100)) % 207.40/207.63 (define @t103 () (and @t102 @t101 @t99 @t96)) % 207.40/207.63 (define @t104 () (@list @t97 @t94)) % 207.40/207.63 (define @t105 () (exists @t104 @t103)) % 207.40/207.63 (define @t106 () (tptp.min_precedes @t98 @t95 @t100)) % 207.40/207.63 (define @t107 () (=> @t106 @t105)) % 207.40/207.63 (define @t108 () (@list @t100 @t98 @t95)) % 207.40/207.63 (define @t109 () (forall @t108 @t107)) % 207.40/207.63 (define @t110 () (@var "X84" $$unsorted)) % 207.40/207.63 (define @t111 () (@var "X83" $$unsorted)) % 207.40/207.63 (define @t112 () (@var "X82" $$unsorted)) % 207.40/207.63 (define @t113 () (@var "X88" $$unsorted)) % 207.40/207.63 (define @t114 () (@var "X87" $$unsorted)) % 207.40/207.63 (define @t115 () (@var "X85" $$unsorted)) % 207.40/207.63 (define @t116 () (@var "X86" $$unsorted)) % 207.40/207.63 (define @t117 () (@var "X90" $$unsorted)) % 207.40/207.63 (define @t118 () (@var "X89" $$unsorted)) % 207.40/207.63 (define @t119 () (@var "X92" $$unsorted)) % 207.40/207.63 (define @t120 () (@var "X93" $$unsorted)) % 207.40/207.63 (define @t121 () (@var "X91" $$unsorted)) % 207.40/207.63 (define @t122 () (@var "X94" $$unsorted)) % 207.40/207.63 (define @t123 () (@var "X95" $$unsorted)) % 207.40/207.63 (define @t124 () (@var "X98" $$unsorted)) % 207.40/207.63 (define @t125 () (tptp.leaf_occ @t124 @t123)) % 207.40/207.63 (define @t126 () (@var "X97" $$unsorted)) % 207.40/207.63 (define @t127 () (tptp.next_subocc @t126 @t124 tptp.tptp0)) % 207.40/207.63 (define @t128 () (tptp.occurrence_of @t124 tptp.tptp2)) % 207.40/207.63 (define @t129 () (tptp.occurrence_of @t124 tptp.tptp1)) % 207.40/207.63 (define @t130 () (or @t129 @t128)) % 207.40/207.63 (define @t131 () (@var "X96" $$unsorted)) % 207.40/207.63 (define @t132 () (tptp.next_subocc @t131 @t126 tptp.tptp0)) % 207.40/207.63 (define @t133 () (tptp.occurrence_of @t126 tptp.tptp4)) % 207.40/207.63 (define @t134 () (tptp.root_occ @t131 @t123)) % 207.40/207.63 (define @t135 () (tptp.occurrence_of @t131 tptp.tptp3)) % 207.40/207.63 (define @t136 () (and @t135 @t134 @t133 @t132 @t130 @t127 @t125)) % 207.40/207.63 (define @t137 () (@list @t131 @t126 @t124)) % 207.40/207.63 (define @t138 () (exists @t137 @t136)) % 207.40/207.63 (define @t139 () (tptp.occurrence_of @t123 tptp.tptp0)) % 207.40/207.63 (define @t140 () (=> @t139 @t138)) % 207.40/207.63 (define @t141 () (@list @t123)) % 207.40/207.63 (define @t142 () (forall @t141 @t140)) % 207.40/207.63 (define @t143 () (not (tptp.atomic tptp.tptp0))) % 207.40/207.63 (define @t144 () (@var "X103" $$unsorted)) % 207.40/207.63 (define @t145 () (@var "X100" $$unsorted)) % 207.40/207.63 (define @t146 () (tptp.min_precedes @t145 @t144 tptp.tptp0)) % 207.40/207.63 (define @t147 () (tptp.occurrence_of @t144 tptp.tptp1)) % 207.40/207.63 (define @t148 () (and @t147 @t146)) % 207.40/207.63 (define @t149 () (@list @t144)) % 207.40/207.63 (define @t150 () (exists @t149 @t148)) % 207.40/207.63 (define @t151 () (not @t150)) % 207.40/207.63 (define @t152 () (@var "X101" $$unsorted)) % 207.40/207.63 (define @t153 () (tptp.occurrence_of @t152 tptp.tptp2)) % 207.40/207.63 (define @t154 () (=> @t153 @t151)) % 207.40/207.63 (define @t155 () (@var "X102" $$unsorted)) % 207.40/207.63 (define @t156 () (tptp.min_precedes @t145 @t155 tptp.tptp0)) % 207.40/207.63 (define @t157 () (tptp.occurrence_of @t155 tptp.tptp2)) % 207.40/207.63 (define @t158 () (and @t157 @t156)) % 207.40/207.63 (define @t159 () (@list @t155)) % 207.40/207.63 (define @t160 () (exists @t159 @t158)) % 207.40/207.63 (define @t161 () (not @t160)) % 207.40/207.63 (define @t162 () (tptp.occurrence_of @t152 tptp.tptp1)) % 207.40/207.63 (define @t163 () (=> @t162 @t161)) % 207.40/207.63 (define @t164 () (@var "X99" $$unsorted)) % 207.40/207.63 (define @t165 () (tptp.leaf_occ @t152 @t164)) % 207.40/207.63 (define @t166 () (and @t165 @t163 @t154)) % 207.40/207.63 (define @t167 () (@list @t145 @t152)) % 207.40/207.63 (define @t168 () (exists @t167 @t166)) % 207.40/207.63 (define @t169 () (tptp.occurrence_of @t164 tptp.tptp0)) % 207.40/207.63 (define @t170 () (=> @t169 @t168)) % 207.40/207.63 (define @t171 () (@list @t164)) % 207.40/207.63 (define @t172 () (forall @t171 @t170)) % 207.40/207.63 (define @t173 () (not @t172)) % 207.40/207.63 (define @t174 () (not @t125)) % 207.40/207.63 (define @t175 () (@const 0 it_5_$$unsorted)) % 207.40/207.63 (define @t176 () (@const 1 (-> $$unsorted $$unsorted it_5_$$unsorted Bool))) % 207.40/207.63 (define @t177 () (not (_ @t176 @t126 @t124 @t175))) % 207.40/207.63 (define @t178 () (@const 2 it_5_$$unsorted)) % 207.40/207.63 (define @t179 () (@const 3 (-> $$unsorted it_5_$$unsorted Bool))) % 207.40/207.63 (define @t180 () (@const 4 it_5_$$unsorted)) % 207.40/207.63 (define @t181 () (and (not (_ @t179 @t124 @t180)) (not (_ @t179 @t124 @t178)))) % 207.40/207.63 (define @t182 () (not (_ @t176 @t131 @t126 @t175))) % 207.40/207.63 (define @t183 () (@const 5 it_5_$$unsorted)) % 207.40/207.63 (define @t184 () (not (_ @t179 @t126 @t183))) % 207.40/207.63 (define @t185 () (not @t134)) % 207.40/207.63 (define @t186 () (@const 6 it_5_$$unsorted)) % 207.40/207.63 (define @t187 () (not (_ @t179 @t131 @t186))) % 207.40/207.63 (define @t188 () (not @t127)) % 207.40/207.63 (define @t189 () (not @t132)) % 207.40/207.63 (define @t190 () (not @t133)) % 207.40/207.63 (define @t191 () (not @t135)) % 207.40/207.63 (define @t192 () (not (forall @t137 (or @t191 @t185 @t190 @t189 (and (not @t129) (not @t128)) @t188 @t174)))) % 207.40/207.63 (define @t193 () (not @t130)) % 207.40/207.63 (define @t194 () (or @t191 @t185 @t190 @t189 @t193 @t188 @t174)) % 207.40/207.63 (define @t195 () (forall @t137 (not @t136))) % 207.40/207.63 (define @t196 () (not @t195)) % 207.40/207.63 (define @t197 () (@const 7 (-> $$unsorted $$unsorted it_5_$$unsorted Bool))) % 207.40/207.63 (define @t198 () (not (_ @t179 @t144 @t180))) % 207.40/207.63 (define @t199 () (and (_ @t179 @t152 @t178) (not (forall @t149 (or @t198 (not (_ @t197 @t145 @t144 @t175))))))) % 207.40/207.63 (define @t200 () (not (_ @t179 @t155 @t178))) % 207.40/207.63 (define @t201 () (and (_ @t179 @t152 @t180) (not (forall @t159 (or @t200 (not (_ @t197 @t145 @t155 @t175))))))) % 207.40/207.63 (define @t202 () (not @t165)) % 207.40/207.63 (define @t203 () (forall @t171 (or (not (_ @t179 @t164 @t175)) (not (forall @t167 (or @t202 @t201 @t199)))))) % 207.40/207.63 (define @t204 () (@quantifiers_skolemize @t203 0)) % 207.40/207.63 (define @t205 () (forall @t149 (or (not @t147) (not @t146)))) % 207.40/207.63 (define @t206 () (forall @t159 (or (not @t157) (not @t156)))) % 207.40/207.63 (define @t207 () (not (forall @t167 (or @t202 (and @t162 (not @t206)) (and @t153 (not @t205)))))) % 207.40/207.63 (define @t208 () (=> @t153 @t205)) % 207.40/207.63 (define @t209 () (not @t208)) % 207.40/207.63 (define @t210 () (=> @t162 @t206)) % 207.40/207.63 (define @t211 () (not @t210)) % 207.40/207.63 (define @t212 () (or @t202 @t211 @t209)) % 207.40/207.63 (define @t213 () (and @t165 @t210 @t208)) % 207.40/207.63 (define @t214 () (forall @t167 (not @t213))) % 207.40/207.63 (define @t215 () (not @t214)) % 207.40/207.63 (define @t216 () (forall @t149 (not @t148))) % 207.40/207.63 (define @t217 () (not @t216)) % 207.40/207.63 (define @t218 () (forall @t159 (not @t158))) % 207.40/207.63 (define @t219 () (not @t218)) % 207.40/207.63 (define @t220 () (_ @t179 @t204 @t175)) % 207.40/207.63 (define @t221 () (forall @t167 (or (not (tptp.leaf_occ @t152 @t204)) @t201 @t199))) % 207.40/207.63 (define @t222 () (not @t221)) % 207.40/207.63 (define @t223 () (not @t220)) % 207.40/207.63 (define @t224 () (or @t223 @t222)) % 207.40/207.63 (define @t225 () (@list true)) % 207.40/207.63 (define @t226 () (@list @t224)) % 207.40/207.63 (define @t227 () (forall @t137 (or @t187 (not (tptp.root_occ @t131 @t204)) @t184 @t182 @t181 @t177 (not (tptp.leaf_occ @t124 @t204))))) % 207.40/207.63 (define @t228 () (not @t227)) % 207.40/207.63 (define @t229 () (or @t223 @t228)) % 207.40/207.63 (define @t230 () (@list false false)) % 207.40/207.63 (define @t231 () (@quantifiers_skolemize @t227 2)) % 207.40/207.63 (define @t232 () (tptp.leaf_occ @t231 @t204)) % 207.40/207.63 (define @t233 () (not @t232)) % 207.40/207.63 (define @t234 () (@quantifiers_skolemize @t227 1)) % 207.40/207.63 (define @t235 () (_ @t179 @t231 @t178)) % 207.40/207.63 (define @t236 () (_ @t179 @t231 @t180)) % 207.40/207.63 (define @t237 () (@quantifiers_skolemize @t227 0)) % 207.40/207.63 (define @t238 () (or (not (_ @t179 @t237 @t186)) (not (tptp.root_occ @t237 @t204)) (not (_ @t179 @t234 @t183)) (not (_ @t176 @t237 @t234 @t175)) (and (not @t236) (not @t235)) (not (_ @t176 @t234 @t231 @t175)) @t233)) % 207.40/207.63 (define @t239 () (@var "b_X81" it_5_$$unsorted)) % 207.40/207.63 (define @t240 () (@const 8 (-> $$unsorted it_5_$$unsorted Bool))) % 207.40/207.63 (define @t241 () (@var "b_X77" it_5_$$unsorted)) % 207.40/207.63 (define @t242 () (@const 9 (-> it_5_$$unsorted it_5_$$unsorted Bool))) % 207.40/207.63 (define @t243 () (@list @t239)) % 207.40/207.63 (define @t244 () (@var "b_X80" it_5_$$unsorted)) % 207.40/207.63 (define @t245 () (@list @t244)) % 207.40/207.63 (define @t246 () (not @t96)) % 207.40/207.63 (define @t247 () (not @t101)) % 207.40/207.63 (define @t248 () (or @t247 @t246)) % 207.40/207.63 (define @t249 () (forall (@list @t94) @t248)) % 207.40/207.63 (define @t250 () (not @t99)) % 207.40/207.63 (define @t251 () (not @t102)) % 207.40/207.63 (define @t252 () (or @t251 @t250)) % 207.40/207.63 (define @t253 () (forall (@list @t97) @t252)) % 207.40/207.63 (define @t254 () (not @t106)) % 207.40/207.63 (define @t255 () (or @t253 @t249)) % 207.40/207.63 (define @t256 () (not @t255)) % 207.40/207.63 (define @t257 () (or @t252 @t248)) % 207.40/207.63 (define @t258 () (or @t251 @t247 @t250 @t246)) % 207.40/207.63 (define @t259 () (forall @t104 (not @t103))) % 207.40/207.63 (define @t260 () (not @t259)) % 207.40/207.63 (define @t261 () (forall @t159 (or @t200 (not (_ @t197 @t204 @t155 @t175))))) % 207.40/207.63 (define @t262 () (@quantifiers_skolemize @t261 0)) % 207.40/207.63 (define @t263 () (@var "b_X48" it_5_$$unsorted)) % 207.40/207.63 (define @t264 () (@const 10 (-> it_5_$$unsorted Bool))) % 207.40/207.63 (define @t265 () (not (_ @t264 @t263))) % 207.40/207.63 (define @t266 () (@var "b_X47" it_5_$$unsorted)) % 207.40/207.63 (define @t267 () (@list @t263)) % 207.40/207.63 (define @t268 () (not @t49)) % 207.40/207.63 (define @t269 () (not @t50)) % 207.40/207.63 (define @t270 () (not @t52)) % 207.40/207.63 (define @t271 () (or @t270 @t269 @t268)) % 207.40/207.63 (define @t272 () (forall @t54 (not @t53))) % 207.40/207.63 (define @t273 () (not @t272)) % 207.40/207.63 (define @t274 () (forall @t245 (or (not (_ @t242 @t244 @t175)) (not (_ @t240 @t204 @t244))))) % 207.40/207.63 (define @t275 () (@quantifiers_skolemize @t274 0)) % 207.40/207.63 (define @t276 () (forall @t267 (or (not (_ @t242 @t275 @t263)) @t265 (not (_ @t179 @t204 @t263))))) % 207.40/207.63 (define @t277 () (@quantifiers_skolemize @t276 0)) % 207.40/207.63 (define @t278 () (_ @t264 @t277)) % 207.40/207.63 (define @t279 () (_ @t179 @t204 @t277)) % 207.40/207.63 (define @t280 () (not @t279)) % 207.40/207.63 (define @t281 () (not @t278)) % 207.40/207.63 (define @t282 () (or (not (_ @t242 @t275 @t277)) @t281 @t280)) % 207.40/207.63 (define @t283 () (_ @t264 @t175)) % 207.40/207.63 (define @t284 () (not @t283)) % 207.40/207.63 (define @t285 () (= @t175 @t277)) % 207.40/207.63 (define @t286 () (not @t285)) % 207.40/207.63 (define @t287 () (and @t284 @t285 @t278)) % 207.40/207.63 (define @t288 () (@var "b_X66" it_5_$$unsorted)) % 207.40/207.63 (define @t289 () (@var "b_X65" it_5_$$unsorted)) % 207.40/207.63 (define @t290 () (not @t79)) % 207.40/207.63 (define @t291 () (not @t80)) % 207.40/207.63 (define @t292 () (or @t291 @t290 @t77)) % 207.40/207.63 (define @t293 () (or @t223 @t280 @t285)) % 207.40/207.63 (define @t294 () (not @t282)) % 207.40/207.63 (define @t295 () (not @t276)) % 207.40/207.63 (define @t296 () (@list false)) % 207.40/207.63 (define @t297 () (_ @t240 @t204 @t275)) % 207.40/207.63 (define @t298 () (= @t297 @t295)) % 207.40/207.63 (define @t299 () (not @t297)) % 207.40/207.63 (define @t300 () (or (not (_ @t242 @t275 @t175)) @t299)) % 207.40/207.63 (define @t301 () (not @t300)) % 207.40/207.63 (define @t302 () (not @t274)) % 207.40/207.63 (define @t303 () (not (_ @t242 @t239 @t175))) % 207.40/207.63 (define @t304 () (and @t302 (not (forall @t243 (or @t303 (not (_ @t240 @t262 @t239))))))) % 207.40/207.63 (define @t305 () (not @t304)) % 207.40/207.63 (define @t306 () (@list @t274)) % 207.40/207.63 (define @t307 () (_ @t197 @t204 @t262 @t175)) % 207.40/207.63 (define @t308 () (not @t307)) % 207.40/207.63 (define @t309 () (or @t308 @t304)) % 207.40/207.63 (define @t310 () (@list true false)) % 207.40/207.63 (define @t311 () (or (not (_ @t179 @t262 @t178)) @t308)) % 207.40/207.63 (define @t312 () (not @t311)) % 207.40/207.63 (define @t313 () (not @t261)) % 207.40/207.63 (define @t314 () (and @t236 @t313)) % 207.40/207.63 (define @t315 () (not @t314)) % 207.40/207.63 (define @t316 () (forall @t149 (or @t198 (not (_ @t197 @t204 @t144 @t175))))) % 207.40/207.63 (define @t317 () (@quantifiers_skolemize @t316 0)) % 207.40/207.63 (define @t318 () (and @t302 (not (forall @t243 (or @t303 (not (_ @t240 @t317 @t239))))))) % 207.40/207.63 (define @t319 () (not @t318)) % 207.40/207.63 (define @t320 () (_ @t197 @t204 @t317 @t175)) % 207.40/207.63 (define @t321 () (not @t320)) % 207.40/207.63 (define @t322 () (or @t321 @t318)) % 207.40/207.63 (define @t323 () (or (not (_ @t179 @t317 @t180)) @t321)) % 207.40/207.63 (define @t324 () (not @t323)) % 207.40/207.63 (define @t325 () (not @t316)) % 207.40/207.63 (define @t326 () (and @t235 @t325)) % 207.40/207.63 (define @t327 () (not @t326)) % 207.40/207.63 (define @t328 () (or @t233 @t314 @t326)) % 207.40/207.63 (assume @p1 (forall (@list @t3 @t4 @t2 @t1) (=> (and (tptp.min_precedes @t3 @t4 @t1) (tptp.min_precedes @t4 @t2 @t1)) (tptp.min_precedes @t3 @t2 @t1)))) % 207.40/207.63 (assume @p2 (forall (@list @t6 @t7 @t5) (=> (and (tptp.earlier @t6 @t7) (tptp.earlier @t7 @t5)) (tptp.earlier @t6 @t5)))) % 207.40/207.63 (assume @p3 (forall (@list @t9 @t8 @t10 @t11) (=> (and (tptp.occurrence_of @t10 @t11) (tptp.root_occ @t9 @t10) (tptp.root_occ @t8 @t10)) (= @t9 @t8)))) % 207.40/207.63 (assume @p4 (forall (@list @t13 @t12 @t14 @t15) (=> (and (tptp.occurrence_of @t14 @t15) (not (tptp.atomic @t15)) (tptp.leaf_occ @t13 @t14) (tptp.leaf_occ @t12 @t14)) (= @t13 @t12)))) % 207.40/207.63 (assume @p5 (forall (@list @t19 @t17 @t16) (= (tptp.next_subocc @t19 @t17 @t16) (and (tptp.min_precedes @t19 @t17 @t16) (not (exists (@list @t18) (and (tptp.min_precedes @t19 @t18 @t16) (tptp.min_precedes @t18 @t17 @t16)))))))) % 207.40/207.63 (assume @p6 (forall (@list @t21 @t20 @t22) (=> (tptp.next_subocc @t21 @t20 @t22) (and (tptp.arboreal @t21) (tptp.arboreal @t20))))) % 207.40/207.63 (assume @p7 (forall (@list @t24 @t23 @t25) (=> (tptp.min_precedes @t24 @t23 @t25) (tptp.precedes @t24 @t23)))) % 207.40/207.63 (assume @p8 (forall (@list @t28 @t27 @t26) (=> (tptp.min_precedes @t28 @t27 @t26) (not (tptp.root @t27 @t26))))) % 207.40/207.63 (assume @p9 (forall (@list @t30 @t29) (= (tptp.precedes @t30 @t29) (and (tptp.earlier @t30 @t29) (tptp.legal @t29))))) % 207.40/207.63 (assume @p10 (forall (@list @t31 @t32) (=> (tptp.earlier @t31 @t32) (not (tptp.earlier @t32 @t31))))) % 207.40/207.63 (assume @p11 (forall (@list @t34 @t35) (= (tptp.root_occ @t34 @t35) (exists (@list @t33) (and (tptp.occurrence_of @t35 @t33) (tptp.subactivity_occurrence @t34 @t35) (tptp.root @t34 @t33)))))) % 207.40/207.63 (assume @p12 (forall (@list @t37 @t38) (= (tptp.leaf_occ @t37 @t38) (exists (@list @t36) (and (tptp.occurrence_of @t38 @t36) (tptp.subactivity_occurrence @t37 @t38) (tptp.leaf @t37 @t36)))))) % 207.40/207.63 (assume @p13 (forall (@list @t39 @t40) (=> (tptp.root @t39 @t40) (tptp.legal @t39)))) % 207.40/207.63 (assume @p14 (forall (@list @t42 @t41) (=> (tptp.occurrence_of @t42 @t41) (= (tptp.arboreal @t42) (tptp.atomic @t41))))) % 207.40/207.63 (assume @p15 (forall (@list @t45 @t43) (= (tptp.leaf @t45 @t43) (and (or (tptp.root @t45 @t43) (exists (@list @t46) (tptp.min_precedes @t46 @t45 @t43))) (not (exists (@list @t44) (tptp.min_precedes @t45 @t44 @t43))))))) % 207.40/207.63 (assume @p16 @t59) % 207.40/207.63 (assume @p17 (forall (@list @t61 @t60) (=> (and (tptp.atocc @t61 @t60) (tptp.legal @t61)) (tptp.root @t61 @t60)))) % 207.40/207.63 (assume @p18 (forall (@list @t62) (=> (tptp.legal @t62) (tptp.arboreal @t62)))) % 207.40/207.63 (assume @p19 (forall (@list @t64) (=> (tptp.activity_occurrence @t64) (exists (@list @t63) (and (tptp.activity @t63) (tptp.occurrence_of @t64 @t63)))))) % 207.40/207.63 (assume @p20 (forall (@list @t66 @t65) (=> (tptp.subactivity_occurrence @t66 @t65) (and (tptp.activity_occurrence @t66) (tptp.activity_occurrence @t65))))) % 207.40/207.63 (assume @p21 (forall (@list @t70 @t68 @t67) (=> (and (tptp.occurrence_of @t70 @t67) (tptp.root_occ @t68 @t70)) (not (exists (@list @t69) (tptp.min_precedes @t69 @t68 @t67)))))) % 207.40/207.63 (assume @p22 (forall (@list @t74 @t73 @t71) (=> (and (tptp.occurrence_of @t74 @t71) (tptp.leaf_occ @t73 @t74)) (not (exists (@list @t72) (tptp.min_precedes @t73 @t72 @t71)))))) % 207.40/207.63 (assume @p23 @t83) % 207.40/207.63 (assume @p24 (forall (@list @t85 @t86) (=> (and (tptp.leaf @t85 @t86) (not (tptp.atomic @t86))) (exists (@list @t84) (and (tptp.occurrence_of @t84 @t86) (tptp.leaf_occ @t85 @t84)))))) % 207.40/207.63 (assume @p25 (forall (@list @t90 @t89 @t88) (=> (tptp.min_precedes @t89 @t88 @t90) (exists (@list @t87) (and (tptp.occurrence_of @t87 @t90) (tptp.subactivity_occurrence @t89 @t87) (tptp.subactivity_occurrence @t88 @t87)))))) % 207.40/207.63 (assume @p26 (forall (@list @t92 @t93) (=> (and (tptp.leaf @t92 @t93) (not (tptp.atomic @t93))) (exists (@list @t91) (and (tptp.occurrence_of @t91 @t93) (tptp.leaf_occ @t92 @t91)))))) % 207.40/207.63 (assume @p27 @t109) % 207.40/207.63 (assume @p28 (forall (@list @t112 @t111) (=> (tptp.root @t111 @t112) (exists (@list @t110) (and (tptp.subactivity @t110 @t112) (tptp.atocc @t111 @t110)))))) % 207.40/207.63 (assume @p29 (forall (@list @t115 @t116 @t114 @t113) (=> (and (tptp.occurrence_of @t116 @t115) (tptp.arboreal @t114) (tptp.arboreal @t113) (tptp.subactivity_occurrence @t114 @t116) (tptp.subactivity_occurrence @t113 @t116)) (or (tptp.min_precedes @t114 @t113 @t115) (tptp.min_precedes @t113 @t114 @t115) (= @t114 @t113))))) % 207.40/207.63 (assume @p30 (forall (@list @t118 @t117) (=> (tptp.occurrence_of @t117 @t118) (and (tptp.activity @t118) (tptp.activity_occurrence @t117))))) % 207.40/207.63 (assume @p31 (forall (@list @t121 @t119) (=> (and (tptp.occurrence_of @t119 @t121) (not (tptp.atomic @t121))) (exists (@list @t120) (and (tptp.root @t120 @t121) (tptp.subactivity_occurrence @t120 @t119)))))) % 207.40/207.63 (assume @p32 (forall (@list @t122) (=> (tptp.activity @t122) (tptp.subactivity @t122 @t122)))) % 207.40/207.63 (assume @p33 @t142) % 207.40/207.63 (assume @p34 (tptp.activity tptp.tptp0)) % 207.40/207.63 (assume @p35 @t143) % 207.40/207.63 (assume @p36 (tptp.atomic tptp.tptp4)) % 207.40/207.63 (assume @p37 (tptp.atomic tptp.tptp1)) % 207.40/207.63 (assume @p38 (tptp.atomic tptp.tptp2)) % 207.40/207.63 (assume @p39 (tptp.atomic tptp.tptp3)) % 207.40/207.63 (assume @p40 (not (= tptp.tptp4 tptp.tptp3))) % 207.40/207.63 (assume @p41 (not (= tptp.tptp4 tptp.tptp1))) % 207.40/207.63 (assume @p42 (not (= tptp.tptp4 tptp.tptp2))) % 207.40/207.63 (assume @p43 (not (= tptp.tptp3 tptp.tptp1))) % 207.40/207.63 (assume @p44 (not (= tptp.tptp3 tptp.tptp2))) % 207.40/207.63 (assume @p45 (not (= tptp.tptp1 tptp.tptp2))) % 207.40/207.63 (assume @p46 @t173) % 207.40/207.63 (assume @p47 true) % 207.40/207.63 ; WARNING: add trust step for TRUST % 207.40/207.63 ; trust TRUST PREPROCESS_SORT_INFER % 207.40/207.63 (step @p48 :rule trust :premises () :args ((= (forall @t141 (or (not @t139) @t192)) (forall @t141 (or (not (_ @t179 @t123 @t175)) (not (forall @t137 (or @t187 @t185 @t184 @t182 @t181 @t177 @t174)))))))) % 207.40/207.63 (step @p49 :rule bool-impl-elim :args (@t139 @t192)) % 207.40/207.63 (step @p50 :rule cong :premises (@p49) :args ((forall @t141 (=> @t139 @t192)))) % 207.40/207.63 (step @p51 :rule refl :args (@t174)) % 207.40/207.63 (step @p52 :rule refl :args (@t188)) % 207.40/207.63 (step @p53 :rule bool-or-de-morgan :args (@t129 @t128 false)) % 207.40/207.63 (step @p54 :rule refl :args (@t189)) % 207.40/207.63 (step @p55 :rule refl :args (@t190)) % 207.40/207.63 (step @p56 :rule refl :args (@t185)) % 207.40/207.63 (step @p57 :rule refl :args (@t191)) % 207.40/207.63 (step @p58 :rule nary_cong :premises (@p57 @p56 @p55 @p54 @p53 @p52 @p51) :args (@t194)) % 207.40/207.63 (step @p59 :rule aci_norm :args ((= (or @t191 (or @t185 (or @t190 (or @t189 (or @t193 (or @t188 @t174)))))) @t194))) % 207.40/207.63 (step @p60 :rule bool-and-de-morgan :args (@t127 @t125 true)) % 207.40/207.63 (step @p61 :rule refl :args (@t193)) % 207.40/207.63 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t193 (not (and @t127 @t125))))) % 207.40/207.63 (step @p63 :rule bool-and-de-morgan :args (@t130 @t127 (and @t125))) % 207.40/207.63 (step @p64 :rule trans :premises (@p63 @p62)) % 207.40/207.63 (step @p65 :rule nary_cong :premises (@p54 @p64) :args ((or @t189 (not (and @t130 @t127 @t125))))) % 207.40/207.63 (step @p66 :rule bool-and-de-morgan :args (@t132 @t130 (and @t127 @t125))) % 207.40/207.63 (step @p67 :rule trans :premises (@p66 @p65)) % 207.40/207.63 (step @p68 :rule nary_cong :premises (@p55 @p67) :args ((or @t190 (not (and @t132 @t130 @t127 @t125))))) % 207.40/207.63 (step @p69 :rule bool-and-de-morgan :args (@t133 @t132 (and @t130 @t127 @t125))) % 207.40/207.63 (step @p70 :rule trans :premises (@p69 @p68)) % 207.40/207.63 (step @p71 :rule nary_cong :premises (@p56 @p70) :args ((or @t185 (not (and @t133 @t132 @t130 @t127 @t125))))) % 207.40/207.63 (step @p72 :rule bool-and-de-morgan :args (@t134 @t133 (and @t132 @t130 @t127 @t125))) % 207.40/207.63 (step @p73 :rule trans :premises (@p72 @p71)) % 207.40/207.63 (step @p74 :rule nary_cong :premises (@p57 @p73) :args ((or @t191 (not (and @t134 @t133 @t132 @t130 @t127 @t125))))) % 207.40/207.63 (step @p75 :rule bool-and-de-morgan :args (@t135 @t134 (and @t133 @t132 @t130 @t127 @t125))) % 207.40/207.63 (step @p76 :rule trans :premises (@p75 @p74)) % 207.40/207.63 (step @p77 :rule trans :premises (@p76 @p59)) % 207.40/207.63 (step @p78 :rule trans :premises (@p77 @p58)) % 207.40/207.63 (step @p79 :rule cong :premises (@p78) :args (@t195)) % 207.40/207.63 (step @p80 :rule cong :premises (@p79) :args (@t196)) % 207.40/207.63 (step @p81 :rule exists-elim :args ((= @t138 @t196))) % 207.40/207.63 (step @p82 :rule trans :premises (@p81 @p80)) % 207.40/207.63 (step @p83 :rule refl :args (@t139)) % 207.40/207.63 (step @p84 :rule cong :premises (@p83 @p82) :args (@t140)) % 207.40/207.63 (step @p85 :rule cong :premises (@p84) :args (@t142)) % 207.40/207.63 (step @p86 :rule trans :premises (@p85 @p50)) % 207.40/207.63 (step @p87 :rule trans :premises (@p86 @p48)) % 207.40/207.63 (step @p88 :rule eq_resolve :premises (@p33 @p87)) % 207.40/207.63 (step @p89 :rule instantiate :premises (@p88) :args ((@list @t204))) % 207.40/207.63 ; trust TRUST PREPROCESS_SORT_INFER % 207.40/207.63 (step @p90 :rule trust :premises () :args ((= (not (forall @t171 (or (not @t169) @t207))) (not @t203)))) % 207.40/207.63 (step @p91 :rule bool-impl-elim :args (@t169 @t207)) % 207.40/207.63 (step @p92 :rule cong :premises (@p91) :args ((forall @t171 (=> @t169 @t207)))) % 207.40/207.63 (step @p93 :rule bool-implies-de-morgan :args (@t153 @t205)) % 207.40/207.63 (step @p94 :rule bool-implies-de-morgan :args (@t162 @t206)) % 207.40/207.63 (step @p95 :rule refl :args (@t202)) % 207.40/207.63 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93) :args (@t212)) % 207.40/207.63 (step @p97 :rule aci_norm :args ((= (or @t202 (or @t211 @t209)) @t212))) % 207.40/207.63 (step @p98 :rule bool-and-de-morgan :args (@t210 @t208 true)) % 207.40/207.63 (step @p99 :rule nary_cong :premises (@p95 @p98) :args ((or @t202 (not (and @t210 @t208))))) % 207.40/207.63 (step @p100 :rule bool-and-de-morgan :args (@t165 @t210 (and @t208))) % 207.40/207.63 (step @p101 :rule trans :premises (@p100 @p99)) % 207.40/207.63 (step @p102 :rule trans :premises (@p101 @p97)) % 207.40/207.63 (step @p103 :rule trans :premises (@p102 @p96)) % 207.40/207.63 (step @p104 :rule cong :premises (@p103) :args (@t214)) % 207.40/207.63 (step @p105 :rule cong :premises (@p104) :args (@t215)) % 207.40/207.63 (step @p106 :rule exists-elim :args ((= (exists @t167 @t213) @t215))) % 207.40/207.63 (step @p107 :rule trans :premises (@p106 @p105)) % 207.40/207.63 (step @p108 :rule bool-double-not-elim :args (@t205)) % 207.40/207.63 (step @p109 :rule bool-and-de-morgan :args (@t147 @t146 true)) % 207.40/207.63 (step @p110 :rule cong :premises (@p109) :args (@t216)) % 207.40/207.63 (step @p111 :rule cong :premises (@p110) :args (@t217)) % 207.40/207.63 (step @p112 :rule exists-elim :args ((= @t150 @t217))) % 207.40/207.63 (step @p113 :rule trans :premises (@p112 @p111)) % 207.40/207.63 (step @p114 :rule cong :premises (@p113) :args (@t151)) % 207.40/207.63 (step @p115 :rule trans :premises (@p114 @p108)) % 207.40/207.63 (step @p116 :rule refl :args (@t153)) % 207.40/207.63 (step @p117 :rule cong :premises (@p116 @p115) :args (@t154)) % 207.40/207.63 (step @p118 :rule bool-double-not-elim :args (@t206)) % 207.40/207.63 (step @p119 :rule bool-and-de-morgan :args (@t157 @t156 true)) % 207.40/207.63 (step @p120 :rule cong :premises (@p119) :args (@t218)) % 207.40/207.63 (step @p121 :rule cong :premises (@p120) :args (@t219)) % 207.40/207.63 (step @p122 :rule exists-elim :args ((= @t160 @t219))) % 207.40/207.63 (step @p123 :rule trans :premises (@p122 @p121)) % 207.40/207.63 (step @p124 :rule cong :premises (@p123) :args (@t161)) % 207.40/207.63 (step @p125 :rule trans :premises (@p124 @p118)) % 207.40/207.63 (step @p126 :rule refl :args (@t162)) % 207.40/207.63 (step @p127 :rule cong :premises (@p126 @p125) :args (@t163)) % 207.40/207.63 (step @p128 :rule refl :args (@t165)) % 207.40/207.63 (step @p129 :rule nary_cong :premises (@p128 @p127 @p117) :args (@t166)) % 207.40/207.63 (step @p130 :rule cong :premises (@p129) :args (@t168)) % 207.40/207.63 (step @p131 :rule trans :premises (@p130 @p107)) % 207.40/207.63 (step @p132 :rule refl :args (@t169)) % 207.40/207.63 (step @p133 :rule cong :premises (@p132 @p131) :args (@t170)) % 207.40/207.63 (step @p134 :rule cong :premises (@p133) :args (@t172)) % 207.40/207.63 (step @p135 :rule trans :premises (@p134 @p92)) % 207.40/207.63 (step @p136 :rule cong :premises (@p135) :args (@t173)) % 207.40/207.63 (step @p137 :rule trans :premises (@p136 @p90)) % 207.40/207.63 (step @p138 :rule eq_resolve :premises (@p46 @p137)) % 207.40/207.63 (step @p139 :rule skolemize :premises (@p138)) % 207.40/207.63 (step @p140 :rule bool-double-not-elim :args (@t220)) % 207.40/207.63 (step @p141 :rule refl :args (@t224)) % 207.40/207.63 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or @t224 (not @t223)))) % 207.40/207.63 (step @p143 :rule cnf_or_neg :args (@t224 0)) % 207.40/207.63 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 207.40/207.63 (step @p145 :rule reordering :premises (@p144) :args ((or @t220 @t224))) % 207.40/207.63 (step @p146 :rule chain_m_resolution :premises (@p145 @p139) :args (@t220 @t225 @t226)) % 207.40/207.63 (step @p147 :rule cnf_or_pos :args (@t229)) % 207.40/207.63 (step @p148 :rule reordering :premises (@p147) :args ((or @t223 @t228 (not @t229)))) % 207.40/207.63 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p89) :args (@t228 @t230 (@list @t220 @t229))) % 207.40/207.63 (step @p150 :rule skolemize :premises (@p149)) % 207.40/207.63 (step @p151 :rule bool-double-not-elim :args (@t232)) % 207.40/207.63 (step @p152 :rule refl :args (@t238)) % 207.40/207.63 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or @t238 (not @t233)))) % 207.40/207.63 (step @p154 :rule cnf_or_neg :args (@t238 6)) % 207.40/207.63 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 207.40/207.63 (step @p156 :rule reordering :premises (@p155) :args ((or @t232 @t238))) % 207.40/207.63 (step @p157 :rule chain_m_resolution :premises (@p156 @p150) :args (@t232 @t225 (@list @t238))) % 207.40/207.63 (step @p158 :rule bool-double-not-elim :args (@t221)) % 207.40/207.63 (step @p159 :rule nary_cong :premises (@p141 @p158) :args ((or @t224 (not @t222)))) % 207.40/207.63 (step @p160 :rule cnf_or_neg :args (@t224 1)) % 207.40/207.63 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 207.40/207.63 (step @p162 :rule reordering :premises (@p161) :args ((or @t221 @t224))) % 207.40/207.63 (step @p163 :rule chain_m_resolution :premises (@p162 @p139) :args (@t221 @t225 @t226)) % 207.40/207.63 (step @p164 :rule instantiate :premises (@p163) :args ((@list @t204 @t231))) % 207.40/207.63 ; trust TRUST PREPROCESS_SORT_INFER % 207.40/207.63 (step @p165 :rule trust :premises () :args ((= (forall @t108 (or @t254 (and (not @t253) (not @t249)))) (forall (@list @t241 @t98 @t95) (or (not (_ @t197 @t98 @t95 @t241)) (and (not (forall @t245 (or (not (_ @t242 @t244 @t241)) (not (_ @t240 @t98 @t244))))) (not (forall @t243 (or (not (_ @t242 @t239 @t241)) (not (_ @t240 @t95 @t239))))))))))) % 207.40/207.63 (step @p166 :rule bool-or-de-morgan :args (@t253 @t249 false)) % 207.40/207.63 (step @p167 :rule refl :args (@t254)) % 207.40/207.63 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t254 @t256))) % 207.40/207.63 (step @p169 :rule bool-impl-elim :args (@t106 @t256)) % 207.40/207.63 (step @p170 :rule trans :premises (@p169 @p168)) % 207.40/207.63 (step @p171 :rule cong :premises (@p170) :args ((forall @t108 (=> @t106 @t256)))) % 207.40/207.63 (step @p172 :rule quant-miniscope-or :args ((= (forall @t104 @t257) @t255))) % 207.40/207.63 (step @p173 :rule aci_norm :args ((= @t258 @t257))) % 207.40/207.63 (step @p174 :rule cong :premises (@p173) :args ((forall @t104 @t258))) % 207.40/207.63 (step @p175 :rule trans :premises (@p174 @p172)) % 207.40/207.63 (step @p176 :rule aci_norm :args ((= (or @t251 (or @t247 (or @t250 @t246))) @t258))) % 207.40/207.63 (step @p177 :rule bool-and-de-morgan :args (@t99 @t96 true)) % 207.40/207.63 (step @p178 :rule refl :args (@t247)) % 207.40/207.63 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t247 (not (and @t99 @t96))))) % 207.40/207.63 (step @p180 :rule bool-and-de-morgan :args (@t101 @t99 (and @t96))) % 207.40/207.63 (step @p181 :rule trans :premises (@p180 @p179)) % 207.40/207.63 (step @p182 :rule refl :args (@t251)) % 207.40/207.63 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t251 (not (and @t101 @t99 @t96))))) % 207.40/207.63 (step @p184 :rule bool-and-de-morgan :args (@t102 @t101 (and @t99 @t96))) % 207.40/207.63 (step @p185 :rule trans :premises (@p184 @p183)) % 207.40/207.63 (step @p186 :rule trans :premises (@p185 @p176)) % 207.40/207.63 (step @p187 :rule cong :premises (@p186) :args (@t259)) % 207.40/207.63 (step @p188 :rule trans :premises (@p187 @p175)) % 207.40/207.63 (step @p189 :rule cong :premises (@p188) :args (@t260)) % 207.40/207.63 (step @p190 :rule exists-elim :args ((= @t105 @t260))) % 207.40/207.63 (step @p191 :rule trans :premises (@p190 @p189)) % 207.40/207.63 (step @p192 :rule refl :args (@t106)) % 207.40/207.63 (step @p193 :rule cong :premises (@p192 @p191) :args (@t107)) % 207.40/207.63 (step @p194 :rule cong :premises (@p193) :args (@t109)) % 207.40/207.63 (step @p195 :rule trans :premises (@p194 @p171)) % 207.40/207.63 (step @p196 :rule trans :premises (@p195 @p165)) % 207.40/207.63 (step @p197 :rule eq_resolve :premises (@p27 @p196)) % 207.40/207.63 (step @p198 :rule instantiate :premises (@p197) :args ((@list @t175 @t204 @t262))) % 207.40/207.63 ; trust TRUST PREPROCESS_SORT_INFER % 207.40/207.63 (step @p199 :rule trust :premises () :args ((= (forall @t58 (= @t56 (not (forall @t54 @t271)))) (forall (@list @t48 @t266) (= (_ @t240 @t48 @t266) (not (forall @t267 (or (not (_ @t242 @t266 @t263)) @t265 (not (_ @t179 @t48 @t263)))))))))) % 207.40/207.63 (step @p200 :rule aci_norm :args ((= (or @t270 (or @t269 @t268)) @t271))) % 207.40/207.63 (step @p201 :rule bool-and-de-morgan :args (@t50 @t49 true)) % 207.40/207.63 (step @p202 :rule refl :args (@t270)) % 207.40/207.63 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or @t270 (not (and @t50 @t49))))) % 207.40/207.63 (step @p204 :rule bool-and-de-morgan :args (@t52 @t50 (and @t49))) % 207.40/207.63 (step @p205 :rule trans :premises (@p204 @p203)) % 207.40/207.63 (step @p206 :rule trans :premises (@p205 @p200)) % 207.40/207.63 (step @p207 :rule cong :premises (@p206) :args (@t272)) % 207.40/207.63 (step @p208 :rule cong :premises (@p207) :args (@t273)) % 207.40/207.63 (step @p209 :rule exists-elim :args ((= @t55 @t273))) % 207.40/207.63 (step @p210 :rule trans :premises (@p209 @p208)) % 207.40/207.63 (step @p211 :rule refl :args (@t56)) % 207.40/207.63 (step @p212 :rule cong :premises (@p211 @p210) :args (@t57)) % 207.40/207.63 (step @p213 :rule cong :premises (@p212) :args (@t59)) % 207.40/207.63 (step @p214 :rule trans :premises (@p213 @p199)) % 207.40/207.63 (step @p215 :rule eq_resolve :premises (@p16 @p214)) % 207.40/207.63 (step @p216 :rule instantiate :premises (@p215) :args ((@list @t204 @t275))) % 207.40/207.63 (step @p217 :rule bool-double-not-elim :args (@t278)) % 207.40/207.63 (step @p218 :rule refl :args (@t282)) % 207.40/207.63 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or @t282 (not @t281)))) % 207.40/207.63 (step @p220 :rule cnf_or_neg :args (@t282 1)) % 207.40/207.63 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 207.40/207.63 (step @p222 :rule reordering :premises (@p221) :args ((or @t278 @t282))) % 207.40/207.63 (step @p223 :rule bool-double-not-elim :args (@t279)) % 207.40/207.63 (step @p224 :rule nary_cong :premises (@p218 @p223) :args ((or @t282 (not @t280)))) % 207.40/207.63 (step @p225 :rule cnf_or_neg :args (@t282 2)) % 207.40/207.63 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 207.40/207.63 (step @p227 :rule reordering :premises (@p226) :args ((or @t279 @t282))) % 207.40/207.63 ; trust TRUST PREPROCESS_SORT_INFER % 207.40/207.63 (step @p228 :rule trust :premises () :args ((= @t143 @t284))) % 207.40/207.63 (step @p229 :rule eq_resolve :premises (@p35 @p228)) % 207.40/207.63 (step @p230 :rule refl :args (@t286)) % 207.40/207.63 (step @p231 :rule refl :args (@t281)) % 207.40/207.63 (step @p232 :rule bool-double-not-elim :args (@t283)) % 207.40/207.63 (step @p233 :rule nary_cong :premises (@p232 @p231 @p230) :args ((or (not @t284) @t281 @t286))) % 207.40/207.63 (assume-push @p362 @t284) % 207.40/207.63 (assume-push @p363 @t285) % 207.40/207.63 (assume-push @p364 @t278) % 207.40/207.63 (step @p237 :rule evaluate :args ((= true false))) % 207.40/207.63 (step @p238 :rule false_intro :premises (@p229)) % 207.40/207.63 (step @p239 :rule symm :premises (@p363)) % 207.40/207.63 (step @p240 :rule cong :premises (@p239) :args (@t278)) % 207.40/207.63 (step @p241 :rule true_intro :premises (@p364)) % 207.40/207.63 (step @p242 :rule symm :premises (@p241)) % 207.40/207.63 (step @p243 :rule trans :premises (@p242 @p240 @p238)) % 207.40/207.63 (step @p244 false :rule eq_resolve :premises (@p243 @p237)) % 207.40/207.63 (step-pop @p365 :rule scope :premises (@p244)) % 207.40/207.63 (step-pop @p366 :rule scope :premises (@p365)) % 207.40/207.63 (step-pop @p367 :rule scope :premises (@p366)) % 207.40/207.63 (step @p245 :rule process_scope :premises (@p367) :args (false)) % 207.40/207.63 (assume-push @p368 @t284) % 207.40/207.63 (assume-push @p369 @t278) % 207.40/207.63 (assume-push @p370 @t285) % 207.40/207.63 (step @p252 :rule and_intro :premises (@p229 @p370 @p369)) % 207.40/207.63 (step-pop @p371 :rule scope :premises (@p252)) % 207.40/207.63 (step-pop @p372 :rule scope :premises (@p371)) % 207.40/207.63 (step-pop @p373 :rule scope :premises (@p372)) % 207.40/207.63 (step @p253 :rule process_scope :premises (@p373) :args (@t287)) % 207.40/207.63 (step @p257 :rule implies_elim :premises (@p253)) % 207.40/207.63 (step @p258 :rule resolution :premises (@p257 @p245) :args (true @t287)) % 207.40/207.63 (step @p259 :rule not_and :premises (@p258)) % 207.40/207.63 (step @p260 :rule eq_resolve :premises (@p259 @p233)) % 207.40/207.63 ; trust TRUST PREPROCESS_SORT_INFER % 207.40/207.63 (step @p261 :rule trust :premises () :args ((= (forall @t82 @t292) (forall (@list @t78 @t289 @t288) (or (not (_ @t179 @t78 @t289)) (not (_ @t179 @t78 @t288)) (= @t289 @t288)))))) % 207.40/207.63 (step @p262 :rule aci_norm :args ((= (or (or @t291 @t290) @t77) @t292))) % 207.40/207.63 (step @p263 :rule refl :args (@t77)) % 207.40/207.63 (step @p264 :rule bool-and-de-morgan :args (@t80 @t79 true)) % 207.40/207.63 (step @p265 :rule nary_cong :premises (@p264 @p263) :args ((or (not @t81) @t77))) % 207.40/207.63 (step @p266 :rule trans :premises (@p265 @p262)) % 207.40/207.63 (step @p267 :rule bool-impl-elim :args (@t81 @t77)) % 207.40/207.63 (step @p268 :rule trans :premises (@p267 @p266)) % 207.40/207.63 (step @p269 :rule cong :premises (@p268) :args (@t83)) % 207.40/207.63 (step @p270 :rule trans :premises (@p269 @p261)) % 207.40/207.63 (step @p271 :rule eq_resolve :premises (@p23 @p270)) % 207.40/207.63 (step @p272 :rule instantiate :premises (@p271) :args ((@list @t204 @t175 @t277))) % 207.40/207.63 (step @p273 :rule cnf_or_pos :args (@t293)) % 207.40/207.63 (step @p274 :rule reordering :premises (@p273) :args ((or @t223 @t280 @t285 (not @t293)))) % 207.40/207.63 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p146 @p260 @p229 @p227 @p222) :args (@t282 (@list false false true true false false) (@list @t293 @t220 @t285 @t283 @t279 @t278))) % 207.40/207.63 (step @p276 :rule refl :args (@t294)) % 207.40/207.63 (step @p277 :rule bool-double-not-elim :args (@t276)) % 207.40/207.63 (step @p278 :rule nary_cong :premises (@p277 @p276) :args ((or (not @t295) @t294))) % 207.40/207.63 (assume-push @p374 @t295) % 207.40/207.63 (step @p280 :rule skolemize :premises (@p374)) % 207.40/207.63 (step-pop @p375 :rule scope :premises (@p280)) % 207.40/207.63 (step @p281 :rule process_scope :premises (@p375) :args (@t294)) % 207.40/207.63 (step @p283 :rule implies_elim :premises (@p281)) % 207.40/207.63 (step @p284 :rule eq_resolve :premises (@p283 @p278)) % 207.40/207.63 (step @p285 :rule chain_m_resolution :premises (@p284 @p275) :args (@t276 @t296 (@list @t282))) % 207.40/207.63 (step @p286 :rule cnf_equiv_pos1 :args (@t298)) % 207.40/207.63 (step @p287 :rule reordering :premises (@p286) :args ((or @t299 @t295 (not @t298)))) % 207.40/207.63 (step @p288 :rule chain_m_resolution :premises (@p287 @p285 @p216) :args (@t299 @t230 (@list @t276 @t298))) % 207.40/207.63 (step @p289 :rule bool-double-not-elim :args (@t297)) % 207.40/207.63 (step @p290 :rule refl :args (@t300)) % 207.40/207.63 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or @t300 (not @t299)))) % 207.40/207.63 (step @p292 :rule cnf_or_neg :args (@t300 1)) % 207.40/207.63 (step @p293 :rule eq_resolve :premises (@p292 @p291)) % 207.40/207.63 (step @p294 :rule reordering :premises (@p293) :args ((or @t297 @t300))) % 207.40/207.63 (step @p295 :rule chain_m_resolution :premises (@p294 @p288) :args (@t300 @t225 (@list @t297))) % 207.40/207.63 (step @p296 :rule refl :args (@t301)) % 207.40/207.63 (step @p297 :rule bool-double-not-elim :args (@t274)) % 207.40/207.63 (step @p298 :rule nary_cong :premises (@p297 @p296) :args ((or (not @t302) @t301))) % 207.40/207.63 (assume-push @p376 @t302) % 207.40/207.63 (step @p300 :rule skolemize :premises (@p376)) % 207.40/207.63 (step-pop @p377 :rule scope :premises (@p300)) % 207.40/207.63 (step @p301 :rule process_scope :premises (@p377) :args (@t301)) % 207.40/207.63 (step @p303 :rule implies_elim :premises (@p301)) % 207.40/207.63 (step @p304 :rule eq_resolve :premises (@p303 @p298)) % 207.40/207.63 (step @p305 :rule chain_m_resolution :premises (@p304 @p295) :args (@t274 @t296 (@list @t300))) % 207.40/207.63 (step @p306 :rule cnf_and_pos :args (@t304 0)) % 207.40/207.63 (step @p307 :rule reordering :premises (@p306) :args ((or @t302 @t305))) % 207.40/207.63 (step @p308 :rule chain_m_resolution :premises (@p307 @p305) :args (@t305 @t296 @t306)) % 207.40/207.63 (step @p309 :rule cnf_or_pos :args (@t309)) % 207.40/207.63 (step @p310 :rule reordering :premises (@p309) :args ((or @t308 @t304 (not @t309)))) % 207.40/207.63 (step @p311 :rule chain_m_resolution :premises (@p310 @p308 @p198) :args (@t308 @t310 (@list @t304 @t309))) % 207.40/207.63 (step @p312 :rule bool-double-not-elim :args (@t307)) % 207.40/207.63 (step @p313 :rule refl :args (@t311)) % 207.40/207.63 (step @p314 :rule nary_cong :premises (@p313 @p312) :args ((or @t311 (not @t308)))) % 207.40/207.63 (step @p315 :rule cnf_or_neg :args (@t311 1)) % 207.40/207.63 (step @p316 :rule eq_resolve :premises (@p315 @p314)) % 207.40/207.63 (step @p317 :rule reordering :premises (@p316) :args ((or @t307 @t311))) % 207.40/207.63 (step @p318 :rule chain_m_resolution :premises (@p317 @p311) :args (@t311 @t225 (@list @t307))) % 207.40/207.63 (step @p319 :rule refl :args (@t312)) % 207.40/207.63 (step @p320 :rule bool-double-not-elim :args (@t261)) % 207.40/207.63 (step @p321 :rule nary_cong :premises (@p320 @p319) :args ((or (not @t313) @t312))) % 207.40/207.63 (assume-push @p378 @t313) % 207.40/207.63 (step @p323 :rule skolemize :premises (@p378)) % 207.40/207.63 (step-pop @p379 :rule scope :premises (@p323)) % 207.40/207.63 (step @p324 :rule process_scope :premises (@p379) :args (@t312)) % 207.40/207.63 (step @p326 :rule implies_elim :premises (@p324)) % 207.40/207.63 (step @p327 :rule eq_resolve :premises (@p326 @p321)) % 207.40/207.63 (step @p328 :rule chain_m_resolution :premises (@p327 @p318) :args (@t261 @t296 (@list @t311))) % 207.40/207.63 (step @p329 :rule cnf_and_pos :args (@t314 1)) % 207.40/207.63 (step @p330 :rule reordering :premises (@p329) :args ((or @t313 @t315))) % 207.40/207.63 (step @p331 :rule chain_m_resolution :premises (@p330 @p328) :args (@t315 @t296 (@list @t261))) % 207.40/207.63 (step @p332 :rule instantiate :premises (@p197) :args ((@list @t175 @t204 @t317))) % 207.40/207.63 (step @p333 :rule cnf_and_pos :args (@t318 0)) % 207.40/207.63 (step @p334 :rule reordering :premises (@p333) :args ((or @t302 @t319))) % 207.40/207.63 (step @p335 :rule chain_m_resolution :premises (@p334 @p305) :args (@t319 @t296 @t306)) % 207.40/207.63 (step @p336 :rule cnf_or_pos :args (@t322)) % 207.40/207.63 (step @p337 :rule reordering :premises (@p336) :args ((or @t321 @t318 (not @t322)))) % 207.40/207.63 (step @p338 :rule chain_m_resolution :premises (@p337 @p335 @p332) :args (@t321 @t310 (@list @t318 @t322))) % 207.40/207.63 (step @p339 :rule bool-double-not-elim :args (@t320)) % 207.40/207.63 (step @p340 :rule refl :args (@t323)) % 207.40/207.63 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or @t323 (not @t321)))) % 207.40/207.63 (step @p342 :rule cnf_or_neg :args (@t323 1)) % 207.40/207.63 (step @p343 :rule eq_resolve :premises (@p342 @p341)) % 207.40/207.63 (step @p344 :rule reordering :premises (@p343) :args ((or @t320 @t323))) % 207.40/207.63 (step @p345 :rule chain_m_resolution :premises (@p344 @p338) :args (@t323 @t225 (@list @t320))) % 207.40/207.63 (step @p346 :rule refl :args (@t324)) % 207.40/207.63 (step @p347 :rule bool-double-not-elim :args (@t316)) % 207.40/207.63 (step @p348 :rule nary_cong :premises (@p347 @p346) :args ((or (not @t325) @t324))) % 207.40/207.63 (assume-push @p380 @t325) % 207.40/207.63 (step @p350 :rule skolemize :premises (@p380)) % 207.40/207.63 (step-pop @p381 :rule scope :premises (@p350)) % 207.40/207.63 (step @p351 :rule process_scope :premises (@p381) :args (@t324)) % 207.40/207.64 (step @p353 :rule implies_elim :premises (@p351)) % 207.40/207.64 (step @p354 :rule eq_resolve :premises (@p353 @p348)) % 207.40/207.64 (step @p355 :rule chain_m_resolution :premises (@p354 @p345) :args (@t316 @t296 (@list @t323))) % 207.40/207.64 (step @p356 :rule cnf_and_pos :args (@t326 1)) % 207.40/207.64 (step @p357 :rule reordering :premises (@p356) :args ((or @t325 @t327))) % 207.40/207.64 (step @p358 :rule chain_m_resolution :premises (@p357 @p355) :args (@t327 @t296 (@list @t316))) % 207.40/207.64 (step @p359 :rule cnf_or_pos :args (@t328)) % 207.40/207.64 (step @p360 :rule reordering :premises (@p359) :args ((or @t233 @t314 @t326 (not @t328)))) % 207.40/207.64 (step @p361 false :rule chain_m_resolution :premises (@p360 @p358 @p331 @p164 @p157) :args (false (@list true true false false) (@list @t326 @t314 @t328 @t232))) % 207.40/207.64 ) % 207.40/207.64 % SZS output end Proof % 207.40/207.64 % cvc5 exiting %------------------------------------------------------------------------------