0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.13/0.33 % Computer : n031.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1920 0.13/0.33 % WCLimit : 240 0.13/0.33 % DateTime : Fri Sep 5 14:36:37 EDT 2025 0.13/0.33 % CPUTime : 0.19/0.50 %----Proving TF0_NAR, FOF, or CNF 165.17/161.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 12... 165.17/161.44 --- Run --no-e-matching --full-saturate-quant at 4... 165.17/161.44 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 4... 165.17/161.44 --- Run --finite-model-find --uf-ss=no-minimal at 4... 165.17/161.44 --- Run --multi-trigger-when-single --full-saturate-quant at 24... 165.17/161.44 --- Run --trigger-sel=max --full-saturate-quant at 12... 165.17/161.44 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 26... 165.17/161.44 --- Run --multi-trigger-cache --full-saturate-quant at 12... 165.17/161.44 --- Run --prenex-quant=none --full-saturate-quant at 24... 165.17/161.44 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 12... 165.17/161.44 --- Run --relevant-triggers --full-saturate-quant at 24... 165.17/161.44 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 12... 165.17/161.44 % SZS status Theorem 165.17/161.44 % SZS output start Proof 165.17/161.44 ( 165.17/161.44 (declare-type $$unsorted ()) 165.17/161.44 (declare-const tptp.tptp4 $$unsorted) 165.17/161.44 (declare-const tptp.tptp3 $$unsorted) 165.17/161.44 (declare-const tptp.next_subocc (-> $$unsorted $$unsorted $$unsorted Bool)) 165.17/161.44 (declare-const tptp.tptp2 $$unsorted) 165.17/161.44 (declare-const tptp.atomic (-> $$unsorted Bool)) 165.17/161.44 (declare-const tptp.subactivity_occurrence (-> $$unsorted $$unsorted Bool)) 165.17/161.44 (declare-const tptp.tptp1 $$unsorted) 165.17/161.44 (declare-const tptp.root_occ (-> $$unsorted $$unsorted Bool)) 165.17/161.44 (declare-const tptp.arboreal (-> $$unsorted Bool)) 165.17/161.44 (declare-const tptp.root (-> $$unsorted $$unsorted Bool)) 165.17/161.44 (declare-const tptp.legal (-> $$unsorted Bool)) 165.17/161.44 (declare-const tptp.activity (-> $$unsorted Bool)) 165.17/161.44 (declare-const tptp.subactivity (-> $$unsorted $$unsorted Bool)) 165.17/161.44 (declare-const tptp.leaf (-> $$unsorted $$unsorted Bool)) 165.17/161.44 (declare-const tptp.occurrence_of (-> $$unsorted $$unsorted Bool)) 165.17/161.44 (declare-const tptp.min_precedes (-> $$unsorted $$unsorted $$unsorted Bool)) 165.17/161.44 (declare-const tptp.tptp0 $$unsorted) 165.17/161.44 (declare-const tptp.leaf_occ (-> $$unsorted $$unsorted Bool)) 165.17/161.44 (declare-const tptp.precedes (-> $$unsorted $$unsorted Bool)) 165.17/161.44 (declare-const tptp.activity_occurrence (-> $$unsorted Bool)) 165.17/161.44 (declare-const tptp.earlier (-> $$unsorted $$unsorted Bool)) 165.17/161.44 (declare-const tptp.atocc (-> $$unsorted $$unsorted Bool)) 165.17/161.44 (define @t1 () (@var "X41" $$unsorted)) 165.17/161.44 (define @t2 () (@var "X42" $$unsorted)) 165.17/161.44 (define @t3 () (@var "X104" $$unsorted)) 165.17/161.44 (define @t4 () (@var "X102" $$unsorted)) 165.17/161.44 (define @t5 () (@var "X103" $$unsorted)) 165.17/161.44 (define @t6 () (@var "X1" $$unsorted)) 165.17/161.44 (define @t7 () (@var "X0" $$unsorted)) 165.17/161.44 (define @t8 () (@var "X12" $$unsorted)) 165.17/161.44 (define @t9 () (@var "X10" $$unsorted)) 165.17/161.44 (define @t10 () (@var "X11" $$unsorted)) 165.17/161.44 (define @t11 () (@var "X119" $$unsorted)) 165.17/161.44 (define @t12 () (@var "X118" $$unsorted)) 165.17/161.44 (define @t13 () (@var "X120" $$unsorted)) 165.17/161.44 (define @t14 () (@var "X117" $$unsorted)) 165.17/161.44 (define @t15 () (@var "X30" $$unsorted)) 165.17/161.44 (define @t16 () (@var "X29" $$unsorted)) 165.17/161.44 (define @t17 () (@var "X28" $$unsorted)) 165.17/161.44 (define @t18 () (@var "X137" $$unsorted)) 165.17/161.44 (define @t19 () (@var "X136" $$unsorted)) 165.17/161.44 (define @t20 () (@var "X134" $$unsorted)) 165.17/161.44 (define @t21 () (@var "X135" $$unsorted)) 165.17/161.44 (define @t22 () (@var "X20" $$unsorted)) 165.17/161.44 (define @t23 () (@var "X19" $$unsorted)) 165.17/161.44 (define @t24 () (@var "X123" $$unsorted)) 165.17/161.44 (define @t25 () (@var "X122" $$unsorted)) 165.17/161.44 (define @t26 () (@var "X124" $$unsorted)) 165.17/161.44 (define @t27 () (@var "X121" $$unsorted)) 165.17/161.44 (define @t28 () (@var "X125" $$unsorted)) 165.17/161.44 (define @t29 () (@var "X73" $$unsorted)) 165.17/161.44 (define @t30 () (@var "X75" $$unsorted)) 165.17/161.44 (define @t31 () (@var "X74" $$unsorted)) 165.17/161.44 (define @t32 () (@var "X86" $$unsorted)) 165.17/161.44 (define @t33 () (@var "X83" $$unsorted)) 165.17/161.44 (define @t34 () (@var "X84" $$unsorted)) 165.17/161.44 (define @t35 () (@var "X85" $$unsorted)) 165.17/161.44 (define @t36 () (@var "X165" $$unsorted)) 165.17/161.44 (define @t37 () (@var "X167" $$unsorted)) 165.17/161.44 (define @t38 () (tptp.leaf_occ @t37 @t36)) 165.17/161.44 (define @t39 () (@var "X168" $$unsorted)) 165.17/161.44 (define @t40 () (tptp.occurrence_of @t39 tptp.tptp2)) 165.17/161.44 (define @t41 () (@var "X166" $$unsorted)) 165.17/161.44 (define @t42 () (tptp.min_precedes @t41 @t39 tptp.tptp0)) 165.17/161.44 (define @t43 () (and @t42 @t40)) 165.17/161.44 (define @t44 () (@list @t39)) 165.17/161.44 (define @t45 () (exists @t44 @t43)) 165.17/161.44 (define @t46 () (not @t45)) 165.17/161.44 (define @t47 () (tptp.occurrence_of @t37 tptp.tptp1)) 165.17/161.44 (define @t48 () (=> @t47 @t46)) 165.17/161.44 (define @t49 () (@var "X169" $$unsorted)) 165.17/161.44 (define @t50 () (tptp.min_precedes @t41 @t49 tptp.tptp0)) 165.17/161.44 (define @t51 () (tptp.occurrence_of @t49 tptp.tptp1)) 165.17/161.44 (define @t52 () (and @t51 @t50)) 165.17/161.44 (define @t53 () (@list @t49)) 165.17/161.44 (define @t54 () (exists @t53 @t52)) 165.17/161.44 (define @t55 () (not @t54)) 165.17/161.44 (define @t56 () (tptp.occurrence_of @t37 tptp.tptp2)) 165.17/161.44 (define @t57 () (=> @t56 @t55)) 165.17/161.44 (define @t58 () (and @t57 @t48 @t38)) 165.17/161.44 (define @t59 () (@list @t41 @t37)) 165.17/161.44 (define @t60 () (exists @t59 @t58)) 165.17/161.44 (define @t61 () (tptp.occurrence_of @t36 tptp.tptp0)) 165.17/161.44 (define @t62 () (=> @t61 @t60)) 165.17/161.44 (define @t63 () (@list @t36)) 165.17/161.44 (define @t64 () (forall @t63 @t62)) 165.17/161.44 (define @t65 () (not @t64)) 165.17/161.44 (define @t66 () (@var "X13" $$unsorted)) 165.17/161.44 (define @t67 () (@var "X15" $$unsorted)) 165.17/161.44 (define @t68 () (@var "X14" $$unsorted)) 165.17/161.44 (define @t69 () (@var "X142" $$unsorted)) 165.17/161.44 (define @t70 () (@var "X143" $$unsorted)) 165.17/161.44 (define @t71 () (@var "X144" $$unsorted)) 165.17/161.44 (define @t72 () (@var "X115" $$unsorted)) 165.17/161.44 (define @t73 () (@var "X116" $$unsorted)) 165.17/161.44 (define @t74 () (@var "X114" $$unsorted)) 165.17/161.44 (define @t75 () (@var "X113" $$unsorted)) 165.17/161.44 (define @t76 () (@var "X68" $$unsorted)) 165.17/161.44 (define @t77 () (@var "X67" $$unsorted)) 165.17/161.44 (define @t78 () (@var "X105" $$unsorted)) 165.17/161.44 (define @t79 () (@var "X106" $$unsorted)) 165.17/161.44 (define @t80 () (@var "X107" $$unsorted)) 165.17/161.44 (define @t81 () (@var "X108" $$unsorted)) 165.17/161.44 (define @t82 () (@var "X127" $$unsorted)) 165.17/161.44 (define @t83 () (@var "X128" $$unsorted)) 165.17/161.44 (define @t84 () (@var "X129" $$unsorted)) 165.17/161.44 (define @t85 () (@var "X126" $$unsorted)) 165.17/161.44 (define @t86 () (@var "X96" $$unsorted)) 165.17/161.44 (define @t87 () (@var "X98" $$unsorted)) 165.17/161.44 (define @t88 () (@var "X97" $$unsorted)) 165.17/161.44 (define @t89 () (@var "X94" $$unsorted)) 165.17/161.44 (define @t90 () (@var "X95" $$unsorted)) 165.17/161.44 (define @t91 () (@var "X62" $$unsorted)) 165.17/161.44 (define @t92 () (@var "X61" $$unsorted)) 165.17/161.44 (define @t93 () (@var "X60" $$unsorted)) 165.17/161.44 (define @t94 () (@var "X63" $$unsorted)) 165.17/161.44 (define @t95 () (@var "X133" $$unsorted)) 165.17/161.44 (define @t96 () (@var "X131" $$unsorted)) 165.17/161.44 (define @t97 () (@var "X132" $$unsorted)) 165.17/161.44 (define @t98 () (@var "X130" $$unsorted)) 165.17/161.44 (define @t99 () (@var "X18" $$unsorted)) 165.17/161.44 (define @t100 () (@var "X22" $$unsorted)) 165.17/161.44 (define @t101 () (@var "X21" $$unsorted)) 165.17/161.44 (define @t102 () (@var "X8" $$unsorted)) 165.17/161.44 (define @t103 () (@var "X9" $$unsorted)) 165.17/161.44 (define @t104 () (@var "X141" $$unsorted)) 165.17/161.44 (define @t105 () (@var "X140" $$unsorted)) 165.17/161.44 (define @t106 () (@var "X139" $$unsorted)) 165.17/161.44 (define @t107 () (@var "X138" $$unsorted)) 165.17/161.44 (define @t108 () (@var "X72" $$unsorted)) 165.17/161.44 (define @t109 () (@var "X71" $$unsorted)) 165.17/161.44 (define @t110 () (@var "X70" $$unsorted)) 165.17/161.44 (define @t111 () (@var "X69" $$unsorted)) 165.17/161.44 (define @t112 () (@var "X162" $$unsorted)) 165.17/161.44 (define @t113 () (tptp.occurrence_of @t112 tptp.tptp3)) 165.17/161.44 (define @t114 () (@var "X163" $$unsorted)) 165.17/161.44 (define @t115 () (tptp.occurrence_of @t114 tptp.tptp4)) 165.17/161.44 (define @t116 () (tptp.next_subocc @t112 @t114 tptp.tptp0)) 165.17/161.44 (define @t117 () (@var "X164" $$unsorted)) 165.17/161.44 (define @t118 () (tptp.next_subocc @t114 @t117 tptp.tptp0)) 165.17/161.44 (define @t119 () (@var "X161" $$unsorted)) 165.17/161.44 (define @t120 () (tptp.leaf_occ @t117 @t119)) 165.17/161.44 (define @t121 () (tptp.occurrence_of @t117 tptp.tptp2)) 165.17/161.44 (define @t122 () (tptp.occurrence_of @t117 tptp.tptp1)) 165.17/161.44 (define @t123 () (or @t122 @t121)) 165.17/161.44 (define @t124 () (tptp.root_occ @t112 @t119)) 165.17/161.44 (define @t125 () (and @t124 @t123 @t120 @t118 @t116 @t115 @t113)) 165.17/161.44 (define @t126 () (@list @t112 @t114 @t117)) 165.17/161.44 (define @t127 () (exists @t126 @t125)) 165.17/161.44 (define @t128 () (tptp.occurrence_of @t119 tptp.tptp0)) 165.17/161.44 (define @t129 () (=> @t128 @t127)) 165.17/161.44 (define @t130 () (@list @t119)) 165.17/161.44 (define @t131 () (forall @t130 @t129)) 165.17/161.44 (define @t132 () (@var "X110" $$unsorted)) 165.17/161.44 (define @t133 () (@var "X109" $$unsorted)) 165.17/161.44 (define @t134 () (@var "X112" $$unsorted)) 165.17/161.44 (define @t135 () (@var "X111" $$unsorted)) 165.17/161.44 (define @t136 () (@var "X55" $$unsorted)) 165.17/161.44 (define @t137 () (@var "X54" $$unsorted)) 165.17/161.44 (define @t138 () (@var "X53" $$unsorted)) 165.17/161.44 (define @t139 () (@var "X52" $$unsorted)) 165.17/161.44 (define @t140 () (@var "X17" $$unsorted)) 165.17/161.44 (define @t141 () (@var "X16" $$unsorted)) 165.17/161.44 (define @t142 () (tptp.arboreal @t141)) 165.17/161.44 (define @t143 () (= @t142 (tptp.atomic @t140))) 165.17/161.44 (define @t144 () (tptp.occurrence_of @t141 @t140)) 165.17/161.44 (define @t145 () (@list @t141 @t140)) 165.17/161.44 (define @t146 () (forall @t145 (=> @t144 @t143))) 165.17/161.44 (define @t147 () (@var "X81" $$unsorted)) 165.17/161.44 (define @t148 () (@var "X82" $$unsorted)) 165.17/161.44 (define @t149 () (@var "X79" $$unsorted)) 165.17/161.44 (define @t150 () (@var "X80" $$unsorted)) 165.17/161.44 (define @t151 () (@var "X6" $$unsorted)) 165.17/161.44 (define @t152 () (@var "X5" $$unsorted)) 165.17/161.44 (define @t153 () (@var "X4" $$unsorted)) 165.17/161.44 (define @t154 () (@var "X148" $$unsorted)) 165.17/161.44 (define @t155 () (tptp.arboreal @t154)) 165.17/161.44 (define @t156 () (@var "X150" $$unsorted)) 165.17/161.44 (define @t157 () (@var "X149" $$unsorted)) 165.17/161.44 (define @t158 () (tptp.min_precedes @t154 @t157 @t156)) 165.17/161.44 (define @t159 () (@list @t154 @t157 @t156)) 165.17/161.44 (define @t160 () (forall @t159 (=> @t158 @t155))) 165.17/161.44 (define @t161 () (@var "X66" $$unsorted)) 165.17/161.44 (define @t162 () (@var "X65" $$unsorted)) 165.17/161.44 (define @t163 () (@var "X64" $$unsorted)) 165.17/161.44 (define @t164 () (@var "X51" $$unsorted)) 165.17/161.44 (define @t165 () (@var "X50" $$unsorted)) 165.17/161.44 (define @t166 () (@var "X49" $$unsorted)) 165.17/161.44 (define @t167 () (@var "X23" $$unsorted)) 165.17/161.44 (define @t168 () (@var "X26" $$unsorted)) 165.17/161.44 (define @t169 () (@var "X27" $$unsorted)) 165.17/161.44 (define @t170 () (@var "X25" $$unsorted)) 165.17/161.44 (define @t171 () (@var "X24" $$unsorted)) 165.17/161.44 (define @t172 () (@var "X100" $$unsorted)) 165.17/161.44 (define @t173 () (@var "X99" $$unsorted)) 165.17/161.44 (define @t174 () (@var "X101" $$unsorted)) 165.17/161.44 (define @t175 () (@var "X3" $$unsorted)) 165.17/161.44 (define @t176 () (@var "X2" $$unsorted)) 165.17/161.44 (define @t177 () (@var "X44" $$unsorted)) 165.17/161.44 (define @t178 () (@var "X43" $$unsorted)) 165.17/161.44 (define @t179 () (@var "X48" $$unsorted)) 165.17/161.44 (define @t180 () (@var "X47" $$unsorted)) 165.17/161.44 (define @t181 () (@var "X46" $$unsorted)) 165.17/161.44 (define @t182 () (@var "X45" $$unsorted)) 165.17/161.44 (define @t183 () (@var "X156" $$unsorted)) 165.17/161.44 (define @t184 () (@var "X160" $$unsorted)) 165.17/161.44 (define @t185 () (@var "X158" $$unsorted)) 165.17/161.44 (define @t186 () (@var "X157" $$unsorted)) 165.17/161.44 (define @t187 () (@var "X159" $$unsorted)) 165.17/161.44 (define @t188 () (@var "X39" $$unsorted)) 165.17/161.44 (define @t189 () (@var "X38" $$unsorted)) 165.17/161.44 (define @t190 () (@var "X40" $$unsorted)) 165.17/161.44 (define @t191 () (@var "X57" $$unsorted)) 165.17/161.44 (define @t192 () (@var "X56" $$unsorted)) 165.17/161.44 (define @t193 () (@var "X58" $$unsorted)) 165.17/161.44 (define @t194 () (@var "X59" $$unsorted)) 165.17/161.44 (define @t195 () (@var "X147" $$unsorted)) 165.17/161.44 (define @t196 () (@var "X145" $$unsorted)) 165.17/161.44 (define @t197 () (@var "X146" $$unsorted)) 165.17/161.44 (define @t198 () (@var "X37" $$unsorted)) 165.17/161.44 (define @t199 () (@var "X36" $$unsorted)) 165.17/161.44 (define @t200 () (@var "X35" $$unsorted)) 165.17/161.44 (define @t201 () (@var "X33" $$unsorted)) 165.17/161.44 (define @t202 () (@var "X32" $$unsorted)) 165.17/161.44 (define @t203 () (@var "X34" $$unsorted)) 165.17/161.44 (define @t204 () (@var "X31" $$unsorted)) 165.17/161.44 (define @t205 () (@var "X93" $$unsorted)) 165.17/161.44 (define @t206 () (@var "X91" $$unsorted)) 165.17/161.44 (define @t207 () (@var "X92" $$unsorted)) 165.17/161.44 (define @t208 () (@var "X7" $$unsorted)) 165.17/161.44 (define @t209 () (@var "X77" $$unsorted)) 165.17/161.44 (define @t210 () (@var "X78" $$unsorted)) 165.17/161.44 (define @t211 () (@var "X76" $$unsorted)) 165.17/161.44 (define @t212 () (not (tptp.atomic tptp.tptp0))) 165.17/161.44 (define @t213 () (@var "X88" $$unsorted)) 165.17/161.44 (define @t214 () (@var "X87" $$unsorted)) 165.17/161.44 (define @t215 () (@var "X90" $$unsorted)) 165.17/161.44 (define @t216 () (@var "X89" $$unsorted)) 165.17/161.44 (define @t217 () (@var "X151" $$unsorted)) 165.17/161.44 (define @t218 () (@var "X153" $$unsorted)) 165.17/161.44 (define @t219 () (@var "X154" $$unsorted)) 165.17/161.44 (define @t220 () (@var "X152" $$unsorted)) 165.17/161.44 (define @t221 () (@var "X155" $$unsorted)) 165.17/161.44 (define @t222 () (@var "b_X150" it_3_$$unsorted)) 165.17/161.44 (define @t223 () (@const 0 (-> $$unsorted $$unsorted it_3_$$unsorted Bool))) 165.17/161.44 (define @t224 () (forall (@list @t154 @t157 @t222) (or (not (_ @t223 @t154 @t157 @t222)) @t155))) 165.17/161.44 (define @t225 () (not @t38)) 165.17/161.44 (define @t226 () (@const 1 it_3_$$unsorted)) 165.17/161.44 (define @t227 () (@const 2 (-> $$unsorted it_3_$$unsorted Bool))) 165.17/161.44 (define @t228 () (not (_ @t227 @t39 @t226))) 165.17/161.44 (define @t229 () (@const 3 it_3_$$unsorted)) 165.17/161.44 (define @t230 () (@const 4 it_3_$$unsorted)) 165.17/161.44 (define @t231 () (and (_ @t227 @t37 @t230) (not (forall @t44 (or (not (_ @t223 @t41 @t39 @t229)) @t228))))) 165.17/161.44 (define @t232 () (not (_ @t227 @t49 @t230))) 165.17/161.44 (define @t233 () (and (_ @t227 @t37 @t226) (not (forall @t53 (or @t232 (not (_ @t223 @t41 @t49 @t229))))))) 165.17/161.44 (define @t234 () (forall @t63 (or (not (_ @t227 @t36 @t229)) (not (forall @t59 (or @t233 @t231 @t225)))))) 165.17/161.44 (define @t235 () (forall @t44 (or (not @t42) (not @t40)))) 165.17/161.44 (define @t236 () (forall @t53 (or (not @t51) (not @t50)))) 165.17/161.44 (define @t237 () (not (forall @t59 (or (and @t56 (not @t236)) (and @t47 (not @t235)) @t225)))) 165.17/161.44 (define @t238 () (=> @t47 @t235)) 165.17/161.44 (define @t239 () (not @t238)) 165.17/161.44 (define @t240 () (=> @t56 @t236)) 165.17/161.44 (define @t241 () (not @t240)) 165.17/161.44 (define @t242 () (or @t241 @t239 @t225)) 165.17/161.44 (define @t243 () (and @t240 @t238 @t38)) 165.17/161.44 (define @t244 () (forall @t59 (not @t243))) 165.17/161.44 (define @t245 () (not @t244)) 165.17/161.44 (define @t246 () (forall @t44 (not @t43))) 165.17/161.44 (define @t247 () (not @t246)) 165.17/161.44 (define @t248 () (forall @t53 (not @t52))) 165.17/161.44 (define @t249 () (not @t248)) 165.17/161.44 (define @t250 () (@quantifiers_skolemize @t234 0)) 165.17/161.44 (define @t251 () (forall @t59 (or @t233 @t231 (not (tptp.leaf_occ @t37 @t250))))) 165.17/161.44 (define @t252 () (not @t251)) 165.17/161.44 (define @t253 () (_ @t227 @t250 @t229)) 165.17/161.44 (define @t254 () (not @t253)) 165.17/161.44 (define @t255 () (or @t254 @t252)) 165.17/161.44 (define @t256 () (@list true)) 165.17/161.44 (define @t257 () (@list @t255)) 165.17/161.44 (define @t258 () (@const 5 it_3_$$unsorted)) 165.17/161.44 (define @t259 () (not (_ @t227 @t112 @t258))) 165.17/161.44 (define @t260 () (@const 6 it_3_$$unsorted)) 165.17/161.44 (define @t261 () (not (_ @t227 @t114 @t260))) 165.17/161.44 (define @t262 () (@const 7 (-> $$unsorted $$unsorted it_3_$$unsorted Bool))) 165.17/161.44 (define @t263 () (not (_ @t262 @t112 @t114 @t229))) 165.17/161.44 (define @t264 () (not (_ @t262 @t114 @t117 @t229))) 165.17/161.44 (define @t265 () (and (not (_ @t227 @t117 @t230)) (not (_ @t227 @t117 @t226)))) 165.17/161.44 (define @t266 () (forall @t126 (or (not (tptp.root_occ @t112 @t250)) @t265 (not (tptp.leaf_occ @t117 @t250)) @t264 @t263 @t261 @t259))) 165.17/161.44 (define @t267 () (@quantifiers_skolemize @t266 2)) 165.17/161.44 (define @t268 () (forall @t44 (or (not (_ @t223 @t250 @t39 @t229)) @t228))) 165.17/161.44 (define @t269 () (@quantifiers_skolemize @t268 0)) 165.17/161.44 (define @t270 () (@var "b_X17" it_3_$$unsorted)) 165.17/161.44 (define @t271 () (@const 8 (-> it_3_$$unsorted Bool))) 165.17/161.44 (define @t272 () (forall (@list @t141 @t270) (or (not (_ @t227 @t141 @t270)) (= @t142 (_ @t271 @t270))))) 165.17/161.44 (define @t273 () (tptp.arboreal @t250)) 165.17/161.44 (define @t274 () (_ @t271 @t229)) 165.17/161.44 (define @t275 () (or @t254 (= @t273 @t274))) 165.17/161.44 (define @t276 () (@list false)) 165.17/161.44 (define @t277 () (= @t274 @t273)) 165.17/161.44 (define @t278 () (or @t254 @t277)) 165.17/161.44 (define @t279 () (@list false false)) 165.17/161.44 (define @t280 () (@list true false)) 165.17/161.44 (define @t281 () (_ @t223 @t250 @t269 @t229)) 165.17/161.44 (define @t282 () (not @t281)) 165.17/161.44 (define @t283 () (or @t282 @t273)) 165.17/161.44 (define @t284 () (or @t282 (not (_ @t227 @t269 @t226)))) 165.17/161.44 (define @t285 () (not @t284)) 165.17/161.44 (define @t286 () (not @t268)) 165.17/161.44 (define @t287 () (_ @t227 @t267 @t230)) 165.17/161.44 (define @t288 () (and @t287 @t286)) 165.17/161.44 (define @t289 () (not @t120)) 165.17/161.44 (define @t290 () (not @t124)) 165.17/161.44 (define @t291 () (not @t113)) 165.17/161.44 (define @t292 () (not @t115)) 165.17/161.44 (define @t293 () (not @t116)) 165.17/161.44 (define @t294 () (not @t118)) 165.17/161.44 (define @t295 () (not (forall @t126 (or @t290 (and (not @t122) (not @t121)) @t289 @t294 @t293 @t292 @t291)))) 165.17/161.44 (define @t296 () (not @t123)) 165.17/161.44 (define @t297 () (or @t290 @t296 @t289 @t294 @t293 @t292 @t291)) 165.17/161.44 (define @t298 () (forall @t126 (not @t125))) 165.17/161.44 (define @t299 () (not @t298)) 165.17/161.44 (define @t300 () (not @t266)) 165.17/161.44 (define @t301 () (or @t254 @t300)) 165.17/161.44 (define @t302 () (tptp.leaf_occ @t267 @t250)) 165.17/161.44 (define @t303 () (@quantifiers_skolemize @t266 0)) 165.17/161.44 (define @t304 () (@quantifiers_skolemize @t266 1)) 165.17/161.44 (define @t305 () (not @t302)) 165.17/161.44 (define @t306 () (_ @t227 @t267 @t226)) 165.17/161.44 (define @t307 () (or (not (tptp.root_occ @t303 @t250)) (and (not @t287) (not @t306)) @t305 (not (_ @t262 @t304 @t267 @t229)) (not (_ @t262 @t303 @t304 @t229)) (not (_ @t227 @t304 @t260)) (not (_ @t227 @t303 @t258)))) 165.17/161.44 (define @t308 () (forall @t53 (or @t232 (not (_ @t223 @t250 @t49 @t229))))) 165.17/161.44 (define @t309 () (not @t308)) 165.17/161.44 (define @t310 () (and @t306 @t309)) 165.17/161.44 (define @t311 () (or @t310 @t288 @t305)) 165.17/161.44 (define @t312 () (@quantifiers_skolemize @t308 0)) 165.17/161.44 (define @t313 () (_ @t223 @t250 @t312 @t229)) 165.17/161.44 (define @t314 () (not @t313)) 165.17/161.44 (define @t315 () (or (not (_ @t227 @t312 @t230)) @t314)) 165.17/161.44 (define @t316 () (not @t315)) 165.17/161.44 (define @t317 () (or @t314 @t273)) 165.17/161.44 (assume @p1 (forall (@list @t1 @t2) (=> (tptp.root @t1 @t2) (tptp.legal @t1)))) 165.17/161.44 (assume @p2 (forall (@list @t4 @t5) (= (tptp.leaf_occ @t4 @t5) (exists (@list @t3) (and (tptp.occurrence_of @t5 @t3) (tptp.subactivity_occurrence @t4 @t5) (tptp.leaf @t4 @t3)))))) 165.17/161.44 (assume @p3 (forall (@list @t7 @t6) (=> (tptp.occurrence_of @t6 @t7) (and (tptp.activity @t7) (tptp.activity_occurrence @t6))))) 165.17/161.44 (assume @p4 (forall (@list @t9 @t10 @t8) (=> (and (tptp.earlier @t10 @t8) (tptp.earlier @t9 @t10)) (tptp.earlier @t9 @t8)))) 165.17/161.44 (assume @p5 (forall (@list @t14 @t12 @t11) (=> (and (tptp.root_occ @t12 @t14) (tptp.occurrence_of @t14 @t11)) (not (exists (@list @t13) (tptp.min_precedes @t13 @t12 @t11)))))) 165.17/161.44 (assume @p6 (forall (@list @t17 @t16) (=> (tptp.root @t16 @t17) (exists (@list @t15) (and (tptp.subactivity @t15 @t17) (tptp.atocc @t16 @t15)))))) 165.17/161.44 (assume @p7 (tptp.atomic tptp.tptp1)) 165.17/161.44 (assume @p8 (not (= tptp.tptp4 tptp.tptp2))) 165.17/161.44 (assume @p9 (forall (@list @t20 @t21 @t19 @t18) (=> (and (tptp.subactivity_occurrence @t19 @t21) (tptp.root_occ @t18 @t21) (tptp.arboreal @t19) (not (tptp.min_precedes @t18 @t19 @t20)) (tptp.occurrence_of @t21 @t20)) (= @t19 @t18)))) 165.17/161.44 (assume @p10 (forall (@list @t23 @t22) (=> (and (tptp.legal @t23) (tptp.earlier @t22 @t23)) (tptp.legal @t22)))) 165.17/161.44 (assume @p11 (forall (@list @t27 @t25 @t24 @t26 @t28) (=> (and (tptp.occurrence_of @t28 @t26) (tptp.subactivity_occurrence @t24 @t28) (tptp.subactivity_occurrence @t25 @t28) (tptp.next_subocc @t27 @t24 @t26) (tptp.next_subocc @t27 @t25 @t26)) (= @t25 @t24)))) 165.17/161.44 (assume @p12 (forall (@list @t29 @t31) (=> (and (tptp.root @t31 @t29) (not (tptp.atomic @t29))) (exists (@list @t30) (and (tptp.subactivity_occurrence @t31 @t30) (tptp.occurrence_of @t30 @t29)))))) 165.17/161.44 (assume @p13 (forall (@list @t33 @t34 @t35 @t32) (=> (and (tptp.min_precedes @t33 @t34 @t35) (tptp.occurrence_of @t32 @t35) (tptp.subactivity_occurrence @t34 @t32)) (tptp.subactivity_occurrence @t33 @t32)))) 165.17/161.44 (assume @p14 @t65) 165.17/161.44 (assume @p15 (forall (@list @t66 @t68 @t67) (=> (and (tptp.earlier @t66 @t68) (tptp.earlier @t67 @t68)) (or (tptp.earlier @t66 @t67) (= @t66 @t67) (tptp.earlier @t67 @t66))))) 165.17/161.44 (assume @p16 (not (= tptp.tptp1 tptp.tptp3))) 165.17/161.44 (assume @p17 (forall (@list @t69 @t70 @t71) (=> (tptp.next_subocc @t69 @t70 @t71) (and (tptp.arboreal @t70) (tptp.arboreal @t69))))) 165.17/161.44 (assume @p18 (forall (@list @t75 @t74 @t72) (=> (and (tptp.occurrence_of @t75 @t72) (tptp.leaf_occ @t74 @t75)) (not (exists (@list @t73) (tptp.min_precedes @t74 @t73 @t72)))))) 165.17/161.44 (assume @p19 (forall (@list @t77 @t76) (=> (tptp.subactivity_occurrence @t77 @t76) (and (tptp.activity_occurrence @t77) (tptp.activity_occurrence @t76))))) 165.17/161.44 (assume @p20 (forall (@list @t78 @t79 @t80 @t81) (=> (and (tptp.occurrence_of @t80 @t81) (tptp.root_occ @t79 @t80) (tptp.root_occ @t78 @t80)) (= @t79 @t78)))) 165.17/161.44 (assume @p21 (tptp.activity tptp.tptp0)) 165.17/161.44 (assume @p22 (tptp.atomic tptp.tptp4)) 165.17/161.44 (assume @p23 (forall (@list @t85 @t82 @t83 @t84) (=> (and (tptp.next_subocc @t83 @t85 @t84) (tptp.next_subocc @t82 @t85 @t84)) (= @t83 @t82)))) 165.17/161.44 (assume @p24 (forall (@list @t89 @t90 @t86 @t88) (=> (and (tptp.occurrence_of @t88 @t90) (tptp.subactivity @t89 @t90) (not (tptp.subactivity_occurrence @t86 @t88)) (tptp.occurrence_of @t86 @t89)) (exists (@list @t87) (and (tptp.subactivity_occurrence @t87 @t88) (not (tptp.subactivity_occurrence @t87 @t86))))))) 165.17/161.44 (assume @p25 (not (= tptp.tptp1 tptp.tptp2))) 165.17/161.44 (assume @p26 (forall (@list @t93 @t92 @t91) (= (and (not (exists (@list @t94) (and (tptp.min_precedes @t93 @t94 @t91) (tptp.min_precedes @t94 @t92 @t91)))) (tptp.min_precedes @t93 @t92 @t91)) (tptp.next_subocc @t93 @t92 @t91)))) 165.17/161.44 (assume @p27 (forall (@list @t98 @t96 @t97 @t95) (=> (and (tptp.root_occ @t97 @t98) (not (= @t97 @t96)) (tptp.leaf_occ @t96 @t98) (tptp.occurrence_of @t98 @t95)) (tptp.min_precedes @t97 @t96 @t95)))) 165.17/161.44 (assume @p28 (forall (@list @t99) (=> (tptp.legal @t99) (tptp.arboreal @t99)))) 165.17/161.44 (assume @p29 (forall (@list @t101 @t100) (= (and (tptp.earlier @t101 @t100) (tptp.legal @t100)) (tptp.precedes @t101 @t100)))) 165.17/161.44 (assume @p30 (forall (@list @t102 @t103) (=> (tptp.earlier @t102 @t103) (not (tptp.earlier @t103 @t102))))) 165.17/161.44 (assume @p31 (forall (@list @t107 @t106 @t105 @t104) (=> (and (tptp.occurrence_of @t106 @t107) (not (tptp.min_precedes @t105 @t104 @t107)) (tptp.arboreal @t105) (tptp.leaf_occ @t104 @t106) (tptp.subactivity_occurrence @t105 @t106)) (= @t105 @t104)))) 165.17/161.44 (assume @p32 (forall (@list @t111 @t110 @t109) (=> (tptp.min_precedes @t110 @t109 @t111) (exists (@list @t108) (and (tptp.occurrence_of @t108 @t111) (tptp.subactivity_occurrence @t110 @t108) (tptp.subactivity_occurrence @t109 @t108)))))) 165.17/161.44 (assume @p33 @t131) 165.17/161.44 (assume @p34 (forall (@list @t133 @t132 @t135 @t134) (=> (and (tptp.leaf_occ @t132 @t135) (tptp.leaf_occ @t133 @t135) (not (tptp.atomic @t134)) (tptp.occurrence_of @t135 @t134)) (= @t133 @t132)))) 165.17/161.44 (assume @p35 (tptp.atomic tptp.tptp3)) 165.17/161.44 (assume @p36 (forall (@list @t139 @t138 @t137 @t136) (=> (and (tptp.min_precedes @t138 @t139 @t136) (tptp.min_precedes @t137 @t139 @t136) (tptp.precedes @t138 @t137)) (tptp.min_precedes @t138 @t137 @t136)))) 165.17/161.44 (assume @p37 (not (= tptp.tptp2 tptp.tptp3))) 165.17/161.44 (assume @p38 (not (= tptp.tptp1 tptp.tptp4))) 165.17/161.44 (assume @p39 @t146) 165.17/161.44 (assume @p40 (forall (@list @t149 @t150 @t147 @t148) (=> (and (tptp.subactivity_occurrence @t147 @t150) (tptp.subactivity_occurrence @t148 @t150) (tptp.arboreal @t148) (tptp.arboreal @t147) (tptp.occurrence_of @t150 @t149)) (or (tptp.min_precedes @t147 @t148 @t149) (tptp.min_precedes @t148 @t147 @t149) (= @t148 @t147))))) 165.17/161.44 (assume @p41 (tptp.atomic tptp.tptp2)) 165.17/161.44 (assume @p42 (forall (@list @t153 @t152 @t151) (=> (and (tptp.occurrence_of @t153 @t152) (tptp.occurrence_of @t153 @t151)) (= @t152 @t151)))) 165.17/161.44 (assume @p43 @t160) 165.17/161.44 (assume @p44 (forall (@list @t163 @t162) (= (tptp.atocc @t163 @t162) (exists (@list @t161) (and (tptp.occurrence_of @t163 @t161) (tptp.atomic @t161) (tptp.subactivity @t162 @t161)))))) 165.17/161.44 (assume @p45 (forall (@list @t166 @t165 @t164) (=> (tptp.min_precedes @t166 @t165 @t164) (not (tptp.atomic @t164))))) 165.17/161.44 (assume @p46 (forall (@list @t167 @t171 @t170) (=> (tptp.min_precedes @t171 @t170 @t167) (exists (@list @t168 @t169) (and (tptp.atocc @t171 @t168) (tptp.atocc @t170 @t169) (tptp.subactivity @t169 @t167) (tptp.subactivity @t168 @t167)))))) 165.17/161.44 (assume @p47 (forall (@list @t173 @t172) (= (exists (@list @t174) (and (tptp.occurrence_of @t172 @t174) (tptp.subactivity_occurrence @t173 @t172) (tptp.root @t173 @t174))) (tptp.root_occ @t173 @t172)))) 165.17/161.44 (assume @p48 (forall (@list @t176) (=> (tptp.activity_occurrence @t176) (exists (@list @t175) (and (tptp.occurrence_of @t176 @t175) (tptp.activity @t175)))))) 165.17/161.44 (assume @p49 (forall (@list @t178 @t177) (=> (and (tptp.legal @t178) (tptp.atocc @t178 @t177)) (tptp.root @t178 @t177)))) 165.17/161.44 (assume @p50 (forall (@list @t182 @t181 @t180 @t179) (=> (and (tptp.min_precedes @t182 @t181 @t179) (tptp.min_precedes @t182 @t180 @t179) (tptp.precedes @t181 @t180)) (tptp.min_precedes @t181 @t180 @t179)))) 165.17/161.44 (assume @p51 (forall (@list @t183 @t186 @t185 @t187 @t184) (=> (and (tptp.subactivity_occurrence @t185 @t186) (tptp.min_precedes @t187 @t185 @t183) (not (= @t185 @t184)) (tptp.leaf_occ @t184 @t186) (tptp.root_occ @t187 @t186) (tptp.occurrence_of @t186 @t183)) (tptp.min_precedes @t185 @t184 @t183)))) 165.17/161.44 (assume @p52 (forall (@list @t189 @t188 @t190) (=> (tptp.min_precedes @t189 @t188 @t190) (tptp.precedes @t189 @t188)))) 165.17/161.44 (assume @p53 (forall (@list @t192 @t191) (= (tptp.leaf @t192 @t191) (and (not (exists (@list @t194) (tptp.min_precedes @t192 @t194 @t191))) (or (exists (@list @t193) (tptp.min_precedes @t193 @t192 @t191)) (tptp.root @t192 @t191)))))) 165.17/161.44 (assume @p54 (forall (@list @t196 @t197) (=> (and (not (tptp.atomic @t197)) (tptp.leaf @t196 @t197)) (exists (@list @t195) (and (tptp.occurrence_of @t195 @t197) (tptp.leaf_occ @t196 @t195)))))) 165.17/161.44 (assume @p55 (not (= tptp.tptp4 tptp.tptp3))) 165.17/161.44 (assume @p56 (forall (@list @t200 @t199 @t198) (=> (tptp.min_precedes @t200 @t199 @t198) (not (tptp.root @t199 @t198))))) 165.17/161.44 (assume @p57 (forall (@list @t204 @t202 @t201) (=> (tptp.min_precedes @t204 @t202 @t201) (exists (@list @t203) (and (tptp.root @t203 @t201) (tptp.min_precedes @t203 @t202 @t201)))))) 165.17/161.44 (assume @p58 (forall (@list @t206 @t207 @t205) (=> (and (tptp.subactivity_occurrence @t207 @t205) (tptp.subactivity_occurrence @t206 @t207)) (tptp.subactivity_occurrence @t206 @t205)))) 165.17/161.44 (assume @p59 (forall (@list @t208) (=> (tptp.activity @t208) (tptp.subactivity @t208 @t208)))) 165.17/161.44 (assume @p60 (forall (@list @t211 @t209) (=> (and (not (tptp.atomic @t211)) (tptp.occurrence_of @t209 @t211)) (exists (@list @t210) (and (tptp.root @t210 @t211) (tptp.subactivity_occurrence @t210 @t209)))))) 165.17/161.44 (assume @p61 @t212) 165.17/161.44 (assume @p62 (forall (@list @t214 @t213 @t216 @t215) (=> (and (tptp.occurrence_of @t216 @t214) (tptp.subactivity_occurrence @t216 @t215) (not (tptp.atomic @t214)) (tptp.occurrence_of @t215 @t213)) (tptp.subactivity @t214 @t213)))) 165.17/161.44 (assume @p63 (forall (@list @t217 @t220 @t218 @t219 @t221) (=> (and (tptp.min_precedes @t218 @t221 @t217) (not (= @t219 @t218)) (tptp.subactivity_occurrence @t218 @t220) (tptp.leaf_occ @t221 @t220) (tptp.root_occ @t219 @t220) (tptp.occurrence_of @t220 @t217)) (tptp.min_precedes @t219 @t218 @t217)))) 165.17/161.44 (assume @p64 true) 165.17/161.44 ; WARNING: add trust step for TRUST 165.17/161.44 ; trust TRUST PREPROCESS_SORT_INFER 165.17/161.44 (step @p65 :rule trust :premises () :args ((= (forall @t159 (or (not @t158) @t155)) @t224))) 165.17/161.44 (step @p66 :rule bool-impl-elim :args (@t158 @t155)) 165.17/161.44 (step @p67 :rule cong :premises (@p66) :args (@t160)) 165.17/161.44 (step @p68 :rule trans :premises (@p67 @p65)) 165.17/161.44 (step @p69 :rule eq_resolve :premises (@p43 @p68)) 165.17/161.44 ; trust TRUST PREPROCESS_SORT_INFER 165.17/161.44 (step @p70 :rule trust :premises () :args ((= (not (forall @t63 (or (not @t61) @t237))) (not @t234)))) 165.17/161.44 (step @p71 :rule bool-impl-elim :args (@t61 @t237)) 165.17/161.44 (step @p72 :rule cong :premises (@p71) :args ((forall @t63 (=> @t61 @t237)))) 165.17/161.44 (step @p73 :rule refl :args (@t225)) 165.17/161.44 (step @p74 :rule bool-implies-de-morgan :args (@t47 @t235)) 165.17/161.44 (step @p75 :rule bool-implies-de-morgan :args (@t56 @t236)) 165.17/161.44 (step @p76 :rule nary_cong :premises (@p75 @p74 @p73) :args (@t242)) 165.17/161.44 (step @p77 :rule aci_norm :args ((= (or @t241 (or @t239 @t225)) @t242))) 165.17/161.44 (step @p78 :rule bool-and-de-morgan :args (@t238 @t38 true)) 165.17/161.44 (step @p79 :rule refl :args (@t241)) 165.17/161.44 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t241 (not (and @t238 @t38))))) 165.17/161.44 (step @p81 :rule bool-and-de-morgan :args (@t240 @t238 (and @t38))) 165.17/161.44 (step @p82 :rule trans :premises (@p81 @p80)) 165.17/161.44 (step @p83 :rule trans :premises (@p82 @p77)) 165.17/161.44 (step @p84 :rule trans :premises (@p83 @p76)) 165.17/161.44 (step @p85 :rule cong :premises (@p84) :args (@t244)) 165.17/161.44 (step @p86 :rule cong :premises (@p85) :args (@t245)) 165.17/161.44 (step @p87 :rule exists-elim :args ((= (exists @t59 @t243) @t245))) 165.17/161.44 (step @p88 :rule trans :premises (@p87 @p86)) 165.17/161.44 (step @p89 :rule refl :args (@t38)) 165.17/161.44 (step @p90 :rule bool-double-not-elim :args (@t235)) 165.17/161.44 (step @p91 :rule bool-and-de-morgan :args (@t42 @t40 true)) 165.17/161.44 (step @p92 :rule cong :premises (@p91) :args (@t246)) 165.17/161.44 (step @p93 :rule cong :premises (@p92) :args (@t247)) 165.17/161.44 (step @p94 :rule exists-elim :args ((= @t45 @t247))) 165.17/161.44 (step @p95 :rule trans :premises (@p94 @p93)) 165.17/161.44 (step @p96 :rule cong :premises (@p95) :args (@t46)) 165.17/161.44 (step @p97 :rule trans :premises (@p96 @p90)) 165.17/161.44 (step @p98 :rule refl :args (@t47)) 165.17/161.44 (step @p99 :rule cong :premises (@p98 @p97) :args (@t48)) 165.17/161.44 (step @p100 :rule bool-double-not-elim :args (@t236)) 165.17/161.44 (step @p101 :rule bool-and-de-morgan :args (@t51 @t50 true)) 165.17/161.44 (step @p102 :rule cong :premises (@p101) :args (@t248)) 165.17/161.44 (step @p103 :rule cong :premises (@p102) :args (@t249)) 165.17/161.44 (step @p104 :rule exists-elim :args ((= @t54 @t249))) 165.17/161.44 (step @p105 :rule trans :premises (@p104 @p103)) 165.17/161.44 (step @p106 :rule cong :premises (@p105) :args (@t55)) 165.17/161.44 (step @p107 :rule trans :premises (@p106 @p100)) 165.17/161.44 (step @p108 :rule refl :args (@t56)) 165.17/161.44 (step @p109 :rule cong :premises (@p108 @p107) :args (@t57)) 165.17/161.44 (step @p110 :rule nary_cong :premises (@p109 @p99 @p89) :args (@t58)) 165.17/161.44 (step @p111 :rule cong :premises (@p110) :args (@t60)) 165.17/161.44 (step @p112 :rule trans :premises (@p111 @p88)) 165.17/161.44 (step @p113 :rule refl :args (@t61)) 165.17/161.44 (step @p114 :rule cong :premises (@p113 @p112) :args (@t62)) 165.17/161.44 (step @p115 :rule cong :premises (@p114) :args (@t64)) 165.17/161.44 (step @p116 :rule trans :premises (@p115 @p72)) 165.17/161.44 (step @p117 :rule cong :premises (@p116) :args (@t65)) 165.17/161.44 (step @p118 :rule trans :premises (@p117 @p70)) 165.17/161.44 (step @p119 :rule eq_resolve :premises (@p14 @p118)) 165.17/161.44 (step @p120 :rule skolemize :premises (@p119)) 165.17/161.44 (step @p121 :rule bool-double-not-elim :args (@t251)) 165.17/161.44 (step @p122 :rule refl :args (@t255)) 165.17/161.44 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or @t255 (not @t252)))) 165.17/161.44 (step @p124 :rule cnf_or_neg :args (@t255 1)) 165.17/161.44 (step @p125 :rule eq_resolve :premises (@p124 @p123)) 165.17/161.44 (step @p126 :rule reordering :premises (@p125) :args ((or @t251 @t255))) 165.17/161.44 (step @p127 :rule chain_resolution :premises (@p126 @p120) :args (@t256 @t257)) 165.17/161.44 (step @p128 :rule instantiate :premises (@p127) :args ((@list @t250 @t267))) 165.17/161.44 (step @p129 :rule instantiate :premises (@p69) :args ((@list @t250 @t269 @t229))) 165.17/161.44 ; trust TRUST PREPROCESS_SORT_INFER 165.17/161.44 (step @p130 :rule trust :premises () :args ((= (forall @t145 (or (not @t144) @t143)) @t272))) 165.17/161.44 (step @p131 :rule bool-impl-elim :args (@t144 @t143)) 165.17/161.44 (step @p132 :rule cong :premises (@p131) :args (@t146)) 165.17/161.44 (step @p133 :rule trans :premises (@p132 @p130)) 165.17/161.44 (step @p134 :rule eq_resolve :premises (@p39 @p133)) 165.17/161.44 (step @p135 :rule eq-symm :args (@t273 @t274)) 165.17/161.44 (step @p136 :rule refl :args (@t254)) 165.17/161.44 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t275)) 165.17/161.44 (step @p138 :rule refl :args (@t272)) 165.17/161.44 (step @p139 :rule cong :premises (@p138 @p137) :args ((=> @t272 @t275))) 165.17/161.44 (assume-push @p269 @t272) 165.17/161.44 (step @p141 :rule instantiate :premises (@p134) :args ((@list @t250 @t229))) 165.17/161.44 (step-pop @p269 :rule scope :premises (@p141)) 165.17/161.44 (step @p142 :rule process_scope :premises (@p269) :args (@t275)) 165.17/161.44 (step @p144 :rule eq_resolve :premises (@p142 @p139)) 165.17/161.44 (step @p145 :rule implies_elim :premises (@p144)) 165.17/161.44 (step @p146 :rule chain_resolution :premises (@p145 @p134) :args (@t276 (@list @t272))) 165.17/161.44 (step @p147 :rule bool-double-not-elim :args (@t253)) 165.17/161.44 (step @p148 :rule nary_cong :premises (@p122 @p147) :args ((or @t255 (not @t254)))) 165.17/161.44 (step @p149 :rule cnf_or_neg :args (@t255 0)) 165.17/161.44 (step @p150 :rule eq_resolve :premises (@p149 @p148)) 165.17/161.44 (step @p151 :rule reordering :premises (@p150) :args ((or @t253 @t255))) 165.17/161.44 (step @p152 :rule chain_resolution :premises (@p151 @p120) :args (@t256 @t257)) 165.17/161.44 (step @p153 :rule cnf_or_pos :args (@t278)) 165.17/161.44 (step @p154 :rule reordering :premises (@p153) :args ((or @t254 @t277 (not @t278)))) 165.17/161.44 (step @p155 :rule chain_resolution :premises (@p154 @p152 @p146) :args (@t279 (@list @t253 @t278))) 165.17/161.44 ; trust TRUST PREPROCESS_SORT_INFER 165.17/161.44 (step @p156 :rule trust :premises () :args ((= @t212 (not @t274)))) 165.17/161.44 (step @p157 :rule eq_resolve :premises (@p61 @p156)) 165.17/161.44 (step @p158 :rule cnf_equiv_pos2 :args (@t277)) 165.17/161.44 (step @p159 :rule reordering :premises (@p158) :args ((or @t274 (not @t273) (not @t277)))) 165.17/161.44 (step @p160 :rule chain_resolution :premises (@p159 @p157 @p155) :args (@t280 (@list @t274 @t277))) 165.17/161.44 (step @p161 :rule cnf_or_pos :args (@t283)) 165.17/161.44 (step @p162 :rule reordering :premises (@p161) :args ((or @t273 @t282 (not @t283)))) 165.17/161.44 (step @p163 :rule chain_resolution :premises (@p162 @p160 @p129) :args (@t280 (@list @t273 @t283))) 165.17/161.44 (step @p164 :rule bool-double-not-elim :args (@t281)) 165.17/161.44 (step @p165 :rule refl :args (@t284)) 165.17/161.44 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t284 (not @t282)))) 165.17/161.44 (step @p167 :rule cnf_or_neg :args (@t284 0)) 165.17/161.44 (step @p168 :rule eq_resolve :premises (@p167 @p166)) 165.17/161.44 (step @p169 :rule reordering :premises (@p168) :args ((or @t281 @t284))) 165.17/161.44 (step @p170 :rule chain_resolution :premises (@p169 @p163) :args (@t256 (@list @t281))) 165.17/161.44 (step @p171 :rule refl :args (@t285)) 165.17/161.44 (step @p172 :rule bool-double-not-elim :args (@t268)) 165.17/161.44 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or (not @t286) @t285))) 165.17/161.44 (assume-push @p271 @t286) 165.17/161.44 (step @p175 :rule skolemize :premises (@p271)) 165.17/161.44 (step-pop @p271 :rule scope :premises (@p175)) 165.17/161.44 (step @p176 :rule process_scope :premises (@p271) :args (@t285)) 165.17/161.44 (step @p178 :rule implies_elim :premises (@p176)) 165.17/161.44 (step @p179 :rule eq_resolve :premises (@p178 @p173)) 165.17/161.44 (step @p180 :rule chain_resolution :premises (@p179 @p170) :args (@t276 (@list @t284))) 165.17/161.44 (step @p181 :rule cnf_and_pos :args (@t288 1)) 165.17/161.44 (step @p182 :rule reordering :premises (@p181) :args ((or @t286 (not @t288)))) 165.17/161.44 (step @p183 :rule chain_resolution :premises (@p182 @p180) :args (@t276 (@list @t268))) 165.17/161.44 ; trust TRUST PREPROCESS_SORT_INFER 165.17/161.44 (step @p184 :rule trust :premises () :args ((= (forall @t130 (or (not @t128) @t295)) (forall @t130 (or (not (_ @t227 @t119 @t229)) (not (forall @t126 (or @t290 @t265 @t289 @t264 @t263 @t261 @t259)))))))) 165.17/161.44 (step @p185 :rule bool-impl-elim :args (@t128 @t295)) 165.17/161.44 (step @p186 :rule cong :premises (@p185) :args ((forall @t130 (=> @t128 @t295)))) 165.17/161.44 (step @p187 :rule refl :args (@t291)) 165.17/161.44 (step @p188 :rule refl :args (@t292)) 165.17/161.44 (step @p189 :rule refl :args (@t293)) 165.17/161.44 (step @p190 :rule refl :args (@t294)) 165.17/161.44 (step @p191 :rule refl :args (@t289)) 165.17/161.44 (step @p192 :rule bool-or-de-morgan :args (@t122 @t121 false)) 165.17/161.44 (step @p193 :rule refl :args (@t290)) 165.17/161.44 (step @p194 :rule nary_cong :premises (@p193 @p192 @p191 @p190 @p189 @p188 @p187) :args (@t297)) 165.17/161.44 (step @p195 :rule aci_norm :args ((= (or @t290 (or @t296 (or @t289 (or @t294 (or @t293 (or @t292 @t291)))))) @t297))) 165.17/161.44 (step @p196 :rule bool-and-de-morgan :args (@t115 @t113 true)) 165.17/161.44 (step @p197 :rule nary_cong :premises (@p189 @p196) :args ((or @t293 (not (and @t115 @t113))))) 165.17/161.44 (step @p198 :rule bool-and-de-morgan :args (@t116 @t115 (and @t113))) 165.17/161.44 (step @p199 :rule trans :premises (@p198 @p197)) 165.17/161.44 (step @p200 :rule nary_cong :premises (@p190 @p199) :args ((or @t294 (not (and @t116 @t115 @t113))))) 165.17/161.44 (step @p201 :rule bool-and-de-morgan :args (@t118 @t116 (and @t115 @t113))) 165.17/161.44 (step @p202 :rule trans :premises (@p201 @p200)) 165.17/161.44 (step @p203 :rule nary_cong :premises (@p191 @p202) :args ((or @t289 (not (and @t118 @t116 @t115 @t113))))) 165.17/161.44 (step @p204 :rule bool-and-de-morgan :args (@t120 @t118 (and @t116 @t115 @t113))) 165.17/161.44 (step @p205 :rule trans :premises (@p204 @p203)) 165.17/161.44 (step @p206 :rule refl :args (@t296)) 165.17/161.44 (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((or @t296 (not (and @t120 @t118 @t116 @t115 @t113))))) 165.17/161.44 (step @p208 :rule bool-and-de-morgan :args (@t123 @t120 (and @t118 @t116 @t115 @t113))) 165.17/161.44 (step @p209 :rule trans :premises (@p208 @p207)) 165.17/161.44 (step @p210 :rule nary_cong :premises (@p193 @p209) :args ((or @t290 (not (and @t123 @t120 @t118 @t116 @t115 @t113))))) 165.17/161.44 (step @p211 :rule bool-and-de-morgan :args (@t124 @t123 (and @t120 @t118 @t116 @t115 @t113))) 165.17/161.44 (step @p212 :rule trans :premises (@p211 @p210)) 165.17/161.44 (step @p213 :rule trans :premises (@p212 @p195)) 165.17/161.44 (step @p214 :rule trans :premises (@p213 @p194)) 165.17/161.44 (step @p215 :rule cong :premises (@p214) :args (@t298)) 165.17/161.44 (step @p216 :rule cong :premises (@p215) :args (@t299)) 165.17/161.44 (step @p217 :rule exists-elim :args ((= @t127 @t299))) 165.17/161.44 (step @p218 :rule trans :premises (@p217 @p216)) 165.17/161.44 (step @p219 :rule refl :args (@t128)) 165.17/161.44 (step @p220 :rule cong :premises (@p219 @p218) :args (@t129)) 165.17/161.44 (step @p221 :rule cong :premises (@p220) :args (@t131)) 165.17/161.44 (step @p222 :rule trans :premises (@p221 @p186)) 165.17/161.44 (step @p223 :rule trans :premises (@p222 @p184)) 165.17/161.44 (step @p224 :rule eq_resolve :premises (@p33 @p223)) 165.17/161.44 (step @p225 :rule instantiate :premises (@p224) :args ((@list @t250))) 165.17/161.44 (step @p226 :rule cnf_or_pos :args (@t301)) 165.17/161.44 (step @p227 :rule reordering :premises (@p226) :args ((or @t254 @t300 (not @t301)))) 165.17/161.44 (step @p228 :rule chain_resolution :premises (@p227 @p152 @p225) :args (@t279 (@list @t253 @t301))) 165.17/161.44 (step @p229 :rule skolemize :premises (@p228)) 165.17/161.44 (step @p230 :rule bool-double-not-elim :args (@t302)) 165.17/161.44 (step @p231 :rule refl :args (@t307)) 165.17/161.44 (step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or @t307 (not @t305)))) 165.17/161.44 (step @p233 :rule cnf_or_neg :args (@t307 2)) 165.17/161.44 (step @p234 :rule eq_resolve :premises (@p233 @p232)) 165.17/161.44 (step @p235 :rule reordering :premises (@p234) :args ((or @t302 @t307))) 165.17/161.44 (step @p236 :rule chain_resolution :premises (@p235 @p229) :args (@t256 (@list @t307))) 165.17/161.44 (step @p237 :rule cnf_or_pos :args (@t311)) 165.17/161.44 (step @p238 :rule reordering :premises (@p237) :args ((or @t305 @t310 @t288 (not @t311)))) 165.17/161.44 (step @p239 :rule chain_resolution :premises (@p238 @p236 @p183 @p128) :args ((@list false true false) (@list @t302 @t288 @t311))) 165.17/161.44 (step @p240 :rule cnf_and_pos :args (@t310 1)) 165.17/161.44 (step @p241 :rule reordering :premises (@p240) :args ((or @t309 (not @t310)))) 165.17/161.44 (step @p242 :rule chain_resolution :premises (@p241 @p239) :args (@t276 (@list @t310))) 165.17/161.44 (step @p243 :rule refl :args (@t316)) 165.17/161.45 (step @p244 :rule bool-double-not-elim :args (@t308)) 165.17/161.45 (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((or (not @t309) @t316))) 165.17/161.45 (assume-push @p273 @t309) 165.17/161.45 (step @p247 :rule skolemize :premises (@p273)) 165.17/161.45 (step-pop @p273 :rule scope :premises (@p247)) 165.17/161.45 (step @p248 :rule process_scope :premises (@p273) :args (@t316)) 165.17/161.45 (step @p250 :rule implies_elim :premises (@p248)) 165.17/161.45 (step @p251 :rule eq_resolve :premises (@p250 @p245)) 165.17/161.45 (step @p252 :rule chain_resolution :premises (@p251 @p242) :args (@t256 (@list @t308))) 165.17/161.45 (step @p253 :rule bool-double-not-elim :args (@t313)) 165.17/161.45 (step @p254 :rule refl :args (@t315)) 165.17/161.45 (step @p255 :rule nary_cong :premises (@p254 @p253) :args ((or @t315 (not @t314)))) 165.17/161.45 (step @p256 :rule cnf_or_neg :args (@t315 1)) 165.17/161.45 (step @p257 :rule eq_resolve :premises (@p256 @p255)) 165.17/161.45 (step @p258 :rule reordering :premises (@p257) :args ((or @t313 @t315))) 165.17/161.45 (step @p259 :rule chain_resolution :premises (@p258 @p252) :args (@t256 (@list @t315))) 165.17/161.45 (step @p260 :rule cnf_or_pos :args (@t317)) 165.17/161.45 (step @p261 :rule reordering :premises (@p260) :args ((or @t273 @t314 (not @t317)))) 165.17/161.45 (step @p262 :rule chain_resolution :premises (@p261 @p160 @p259) :args (@t280 (@list @t273 @t313))) 165.17/161.45 (assume-push @p275 @t224) 165.17/161.45 (step @p264 :rule instantiate :premises (@p69) :args ((@list @t250 @t312 @t229))) 165.17/161.45 (step-pop @p275 :rule scope :premises (@p264)) 165.17/161.45 (step @p265 :rule process_scope :premises (@p275) :args (@t317)) 165.17/161.45 (step @p267 :rule implies_elim :premises (@p265)) 165.17/161.45 (step @p268 false :rule chain_resolution :premises (@p267 @p262 @p69) :args (@t280 (@list @t317 @t224))) 165.17/161.45 ) 165.17/161.45 % SZS output end Proof 165.17/161.45 % cvc5 exiting 165.17/161.45 EOF