%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PRO010+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 205.52s 205.72s % Output : Proof 205.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PRO010+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 13:08:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 205.52/205.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 205.52/205.72 --- Run --no-e-matching --full-saturate-quant at 6... % 205.52/205.72 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 205.52/205.72 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 205.52/205.72 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 205.52/205.72 --- Run --trigger-sel=max --full-saturate-quant at 15... % 205.52/205.72 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 205.52/205.72 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 205.52/205.72 --- Run --prenex-quant=none --full-saturate-quant at 30... % 205.52/205.72 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 205.52/205.72 --- Run --relevant-triggers --full-saturate-quant at 30... % 205.52/205.72 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 205.52/205.72 % SZS status Theorem % 205.52/205.72 % SZS output start Proof % 205.52/205.72 ( % 205.52/205.72 (declare-sort $$unsorted 0) % 205.52/205.72 (declare-const tptp.tptp4 $$unsorted) % 205.52/205.72 (declare-const tptp.tptp1 $$unsorted) % 205.52/205.72 (declare-const tptp.tptp2 $$unsorted) % 205.52/205.72 (declare-const tptp.tptp0 $$unsorted) % 205.52/205.72 (declare-const tptp.tptp3 $$unsorted) % 205.52/205.72 (declare-const tptp.root_occ (-> $$unsorted $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.subactivity_occurrence (-> $$unsorted $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.activity_occurrence (-> $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.leaf_occ (-> $$unsorted $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.subactivity (-> $$unsorted $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.arboreal (-> $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.atocc (-> $$unsorted $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.next_subocc (-> $$unsorted $$unsorted $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.activity (-> $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.min_precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.occurrence_of (-> $$unsorted $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.earlier (-> $$unsorted $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.atomic (-> $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.legal (-> $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.precedes (-> $$unsorted $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.root (-> $$unsorted $$unsorted Bool)) % 205.52/205.72 (declare-const tptp.leaf (-> $$unsorted $$unsorted Bool)) % 205.52/205.72 (define @t1 () (@var "X1" $$unsorted)) % 205.52/205.72 (define @t2 () (@var "X0" $$unsorted)) % 205.52/205.72 (define @t3 () (@var "X3" $$unsorted)) % 205.52/205.72 (define @t4 () (@var "X2" $$unsorted)) % 205.52/205.72 (define @t5 () (@var "X6" $$unsorted)) % 205.52/205.72 (define @t6 () (@var "X5" $$unsorted)) % 205.52/205.72 (define @t7 () (@var "X4" $$unsorted)) % 205.52/205.72 (define @t8 () (@var "X7" $$unsorted)) % 205.52/205.72 (define @t9 () (@var "X8" $$unsorted)) % 205.52/205.72 (define @t10 () (@var "X9" $$unsorted)) % 205.52/205.72 (define @t11 () (@var "X12" $$unsorted)) % 205.52/205.72 (define @t12 () (@var "X10" $$unsorted)) % 205.52/205.72 (define @t13 () (@var "X11" $$unsorted)) % 205.52/205.72 (define @t14 () (@var "X15" $$unsorted)) % 205.52/205.72 (define @t15 () (@var "X13" $$unsorted)) % 205.52/205.72 (define @t16 () (@var "X14" $$unsorted)) % 205.52/205.72 (define @t17 () (@var "X17" $$unsorted)) % 205.52/205.72 (define @t18 () (tptp.atomic @t17)) % 205.52/205.72 (define @t19 () (@var "X16" $$unsorted)) % 205.52/205.72 (define @t20 () (= (tptp.arboreal @t19) @t18)) % 205.52/205.72 (define @t21 () (tptp.occurrence_of @t19 @t17)) % 205.52/205.72 (define @t22 () (@list @t19 @t17)) % 205.52/205.72 (define @t23 () (forall @t22 (=> @t21 @t20))) % 205.52/205.72 (define @t24 () (@var "X18" $$unsorted)) % 205.52/205.72 (define @t25 () (tptp.arboreal @t24)) % 205.52/205.72 (define @t26 () (tptp.legal @t24)) % 205.52/205.72 (define @t27 () (@list @t24)) % 205.52/205.72 (define @t28 () (forall @t27 (=> @t26 @t25))) % 205.52/205.72 (define @t29 () (@var "X20" $$unsorted)) % 205.52/205.72 (define @t30 () (tptp.legal @t29)) % 205.52/205.72 (define @t31 () (@var "X19" $$unsorted)) % 205.52/205.72 (define @t32 () (tptp.earlier @t29 @t31)) % 205.52/205.72 (define @t33 () (tptp.legal @t31)) % 205.52/205.72 (define @t34 () (and @t33 @t32)) % 205.52/205.72 (define @t35 () (@list @t31 @t29)) % 205.52/205.72 (define @t36 () (forall @t35 (=> @t34 @t30))) % 205.52/205.72 (define @t37 () (@var "X22" $$unsorted)) % 205.52/205.72 (define @t38 () (@var "X21" $$unsorted)) % 205.52/205.72 (define @t39 () (forall (@list @t38 @t37) (= (tptp.precedes @t38 @t37) (and (tptp.earlier @t38 @t37) (tptp.legal @t37))))) % 205.52/205.72 (define @t40 () (@var "X27" $$unsorted)) % 205.52/205.72 (define @t41 () (@var "X25" $$unsorted)) % 205.52/205.72 (define @t42 () (@var "X26" $$unsorted)) % 205.52/205.72 (define @t43 () (@var "X24" $$unsorted)) % 205.52/205.72 (define @t44 () (@var "X23" $$unsorted)) % 205.52/205.72 (define @t45 () (@var "X30" $$unsorted)) % 205.52/205.72 (define @t46 () (@var "X29" $$unsorted)) % 205.52/205.72 (define @t47 () (@var "X28" $$unsorted)) % 205.52/205.72 (define @t48 () (@var "X33" $$unsorted)) % 205.52/205.72 (define @t49 () (@var "X32" $$unsorted)) % 205.52/205.72 (define @t50 () (@var "X34" $$unsorted)) % 205.52/205.72 (define @t51 () (@var "X31" $$unsorted)) % 205.52/205.72 (define @t52 () (@var "X37" $$unsorted)) % 205.52/205.72 (define @t53 () (@var "X36" $$unsorted)) % 205.52/205.72 (define @t54 () (@var "X35" $$unsorted)) % 205.52/205.72 (define @t55 () (@var "X39" $$unsorted)) % 205.52/205.72 (define @t56 () (@var "X38" $$unsorted)) % 205.52/205.72 (define @t57 () (tptp.precedes @t56 @t55)) % 205.52/205.72 (define @t58 () (@var "X40" $$unsorted)) % 205.52/205.72 (define @t59 () (tptp.min_precedes @t56 @t55 @t58)) % 205.52/205.72 (define @t60 () (@list @t56 @t55 @t58)) % 205.52/205.72 (define @t61 () (forall @t60 (=> @t59 @t57))) % 205.52/205.72 (define @t62 () (@var "X41" $$unsorted)) % 205.52/205.72 (define @t63 () (@var "X42" $$unsorted)) % 205.52/205.72 (define @t64 () (@var "X44" $$unsorted)) % 205.52/205.72 (define @t65 () (@var "X43" $$unsorted)) % 205.52/205.72 (define @t66 () (@var "X48" $$unsorted)) % 205.52/205.72 (define @t67 () (@var "X47" $$unsorted)) % 205.52/205.72 (define @t68 () (@var "X46" $$unsorted)) % 205.52/205.72 (define @t69 () (@var "X45" $$unsorted)) % 205.52/205.72 (define @t70 () (@var "X51" $$unsorted)) % 205.52/205.72 (define @t71 () (@var "X50" $$unsorted)) % 205.52/205.72 (define @t72 () (@var "X49" $$unsorted)) % 205.52/205.72 (define @t73 () (@var "X55" $$unsorted)) % 205.52/205.72 (define @t74 () (@var "X54" $$unsorted)) % 205.52/205.72 (define @t75 () (@var "X53" $$unsorted)) % 205.52/205.72 (define @t76 () (@var "X52" $$unsorted)) % 205.52/205.72 (define @t77 () (@var "X57" $$unsorted)) % 205.52/205.72 (define @t78 () (@var "X59" $$unsorted)) % 205.52/205.72 (define @t79 () (@var "X56" $$unsorted)) % 205.52/205.72 (define @t80 () (@var "X58" $$unsorted)) % 205.52/205.72 (define @t81 () (@var "X62" $$unsorted)) % 205.52/205.72 (define @t82 () (@var "X61" $$unsorted)) % 205.52/205.72 (define @t83 () (@var "X63" $$unsorted)) % 205.52/205.72 (define @t84 () (@var "X60" $$unsorted)) % 205.52/205.72 (define @t85 () (@var "X66" $$unsorted)) % 205.52/205.72 (define @t86 () (@var "X64" $$unsorted)) % 205.52/205.72 (define @t87 () (@var "X65" $$unsorted)) % 205.52/205.72 (define @t88 () (@var "X68" $$unsorted)) % 205.52/205.72 (define @t89 () (@var "X67" $$unsorted)) % 205.52/205.72 (define @t90 () (@var "X72" $$unsorted)) % 205.52/205.72 (define @t91 () (@var "X71" $$unsorted)) % 205.52/205.72 (define @t92 () (@var "X70" $$unsorted)) % 205.52/205.72 (define @t93 () (@var "X69" $$unsorted)) % 205.52/205.72 (define @t94 () (@var "X75" $$unsorted)) % 205.52/205.72 (define @t95 () (@var "X74" $$unsorted)) % 205.52/205.72 (define @t96 () (@var "X73" $$unsorted)) % 205.52/205.72 (define @t97 () (@var "X77" $$unsorted)) % 205.52/205.72 (define @t98 () (@var "X78" $$unsorted)) % 205.52/205.72 (define @t99 () (@var "X76" $$unsorted)) % 205.52/205.72 (define @t100 () (@var "X82" $$unsorted)) % 205.52/205.72 (define @t101 () (@var "X81" $$unsorted)) % 205.52/205.72 (define @t102 () (@var "X79" $$unsorted)) % 205.52/205.72 (define @t103 () (@var "X80" $$unsorted)) % 205.52/205.72 (define @t104 () (@var "X86" $$unsorted)) % 205.52/205.72 (define @t105 () (@var "X83" $$unsorted)) % 205.52/205.72 (define @t106 () (@var "X84" $$unsorted)) % 205.52/205.72 (define @t107 () (@var "X85" $$unsorted)) % 205.52/205.72 (define @t108 () (@var "X88" $$unsorted)) % 205.52/205.72 (define @t109 () (@var "X87" $$unsorted)) % 205.52/205.72 (define @t110 () (@var "X90" $$unsorted)) % 205.52/205.72 (define @t111 () (@var "X89" $$unsorted)) % 205.52/205.72 (define @t112 () (@var "X93" $$unsorted)) % 205.52/205.72 (define @t113 () (@var "X91" $$unsorted)) % 205.52/205.72 (define @t114 () (@var "X92" $$unsorted)) % 205.52/205.72 (define @t115 () (@var "X96" $$unsorted)) % 205.52/205.72 (define @t116 () (@var "X98" $$unsorted)) % 205.52/205.72 (define @t117 () (@var "X97" $$unsorted)) % 205.52/205.72 (define @t118 () (@var "X95" $$unsorted)) % 205.52/205.72 (define @t119 () (@var "X94" $$unsorted)) % 205.52/205.72 (define @t120 () (@var "X101" $$unsorted)) % 205.52/205.72 (define @t121 () (@var "X99" $$unsorted)) % 205.52/205.72 (define @t122 () (@var "X100" $$unsorted)) % 205.52/205.72 (define @t123 () (@var "X104" $$unsorted)) % 205.52/205.72 (define @t124 () (@var "X102" $$unsorted)) % 205.52/205.72 (define @t125 () (@var "X103" $$unsorted)) % 205.52/205.72 (define @t126 () (@var "X105" $$unsorted)) % 205.52/205.72 (define @t127 () (@var "X108" $$unsorted)) % 205.52/205.72 (define @t128 () (tptp.leaf_occ @t127 @t126)) % 205.52/205.72 (define @t129 () (@var "X107" $$unsorted)) % 205.52/205.72 (define @t130 () (tptp.next_subocc @t129 @t127 tptp.tptp0)) % 205.52/205.72 (define @t131 () (tptp.occurrence_of @t127 tptp.tptp2)) % 205.52/205.72 (define @t132 () (tptp.occurrence_of @t127 tptp.tptp1)) % 205.52/205.72 (define @t133 () (or @t132 @t131)) % 205.52/205.72 (define @t134 () (@var "X106" $$unsorted)) % 205.52/205.72 (define @t135 () (tptp.next_subocc @t134 @t129 tptp.tptp0)) % 205.52/205.72 (define @t136 () (tptp.occurrence_of @t129 tptp.tptp4)) % 205.52/205.72 (define @t137 () (tptp.root_occ @t134 @t126)) % 205.52/205.72 (define @t138 () (tptp.occurrence_of @t134 tptp.tptp3)) % 205.52/205.72 (define @t139 () (and @t138 @t137 @t136 @t135 @t133 @t130 @t128)) % 205.52/205.72 (define @t140 () (@list @t134 @t129 @t127)) % 205.52/205.72 (define @t141 () (exists @t140 @t139)) % 205.52/205.72 (define @t142 () (tptp.occurrence_of @t126 tptp.tptp0)) % 205.52/205.72 (define @t143 () (=> @t142 @t141)) % 205.52/205.72 (define @t144 () (@list @t126)) % 205.52/205.72 (define @t145 () (forall @t144 @t143)) % 205.52/205.72 (define @t146 () (tptp.atomic tptp.tptp0)) % 205.52/205.72 (define @t147 () (@var "X113" $$unsorted)) % 205.52/205.72 (define @t148 () (@var "X110" $$unsorted)) % 205.52/205.72 (define @t149 () (tptp.min_precedes @t148 @t147 tptp.tptp0)) % 205.52/205.72 (define @t150 () (tptp.occurrence_of @t147 tptp.tptp1)) % 205.52/205.72 (define @t151 () (and @t150 @t149)) % 205.52/205.72 (define @t152 () (@list @t147)) % 205.52/205.72 (define @t153 () (exists @t152 @t151)) % 205.52/205.72 (define @t154 () (not @t153)) % 205.52/205.72 (define @t155 () (@var "X111" $$unsorted)) % 205.52/205.72 (define @t156 () (tptp.occurrence_of @t155 tptp.tptp2)) % 205.52/205.72 (define @t157 () (=> @t156 @t154)) % 205.52/205.72 (define @t158 () (@var "X112" $$unsorted)) % 205.52/205.72 (define @t159 () (tptp.min_precedes @t148 @t158 tptp.tptp0)) % 205.52/205.72 (define @t160 () (tptp.occurrence_of @t158 tptp.tptp2)) % 205.52/205.72 (define @t161 () (and @t160 @t159)) % 205.52/205.72 (define @t162 () (@list @t158)) % 205.52/205.72 (define @t163 () (exists @t162 @t161)) % 205.52/205.72 (define @t164 () (not @t163)) % 205.52/205.72 (define @t165 () (tptp.occurrence_of @t155 tptp.tptp1)) % 205.52/205.72 (define @t166 () (=> @t165 @t164)) % 205.52/205.72 (define @t167 () (@var "X109" $$unsorted)) % 205.52/205.72 (define @t168 () (tptp.leaf_occ @t155 @t167)) % 205.52/205.72 (define @t169 () (and @t168 @t166 @t157)) % 205.52/205.72 (define @t170 () (@list @t148 @t155)) % 205.52/205.72 (define @t171 () (exists @t170 @t169)) % 205.52/205.72 (define @t172 () (tptp.occurrence_of @t167 tptp.tptp0)) % 205.52/205.72 (define @t173 () (=> @t172 @t171)) % 205.52/205.72 (define @t174 () (@list @t167)) % 205.52/205.72 (define @t175 () (forall @t174 @t173)) % 205.52/205.72 (define @t176 () (not @t175)) % 205.52/205.72 (define @t177 () (@var "b_X20" it_3_$$unsorted)) % 205.52/205.72 (define @t178 () (@const 0 (-> it_3_$$unsorted Bool))) % 205.52/205.72 (define @t179 () (@var "b_X19" it_3_$$unsorted)) % 205.52/205.72 (define @t180 () (@const 1 (-> it_3_$$unsorted it_3_$$unsorted Bool))) % 205.52/205.72 (define @t181 () (forall (@list @t179 @t177) (or (not (_ @t178 @t179)) (not (_ @t180 @t177 @t179)) (_ @t178 @t177)))) % 205.52/205.72 (define @t182 () (not @t32)) % 205.52/205.72 (define @t183 () (not @t33)) % 205.52/205.72 (define @t184 () (or @t183 @t182 @t30)) % 205.52/205.72 (define @t185 () (@var "b_X22" it_3_$$unsorted)) % 205.52/205.72 (define @t186 () (@var "b_X21" it_3_$$unsorted)) % 205.52/205.72 (define @t187 () (@const 2 (-> it_3_$$unsorted it_3_$$unsorted Bool))) % 205.52/205.72 (define @t188 () (@var "b_X113" it_3_$$unsorted)) % 205.52/205.72 (define @t189 () (@var "b_X110" it_3_$$unsorted)) % 205.52/205.72 (define @t190 () (@const 3 (-> it_3_$$unsorted it_3_$$unsorted $$unsorted Bool))) % 205.52/205.72 (define @t191 () (@const 4 (-> it_3_$$unsorted $$unsorted Bool))) % 205.52/205.72 (define @t192 () (not (_ @t191 @t188 tptp.tptp1))) % 205.52/205.72 (define @t193 () (@list @t188)) % 205.52/205.72 (define @t194 () (@var "b_X111" it_3_$$unsorted)) % 205.52/205.72 (define @t195 () (and (_ @t191 @t194 tptp.tptp2) (not (forall @t193 (or @t192 (not (_ @t190 @t189 @t188 tptp.tptp0))))))) % 205.52/205.72 (define @t196 () (@var "b_X112" it_3_$$unsorted)) % 205.52/205.72 (define @t197 () (not (_ @t191 @t196 tptp.tptp2))) % 205.52/205.72 (define @t198 () (@list @t196)) % 205.52/205.72 (define @t199 () (and (_ @t191 @t194 tptp.tptp1) (not (forall @t198 (or @t197 (not (_ @t190 @t189 @t196 tptp.tptp0))))))) % 205.52/205.72 (define @t200 () (@var "b_X109" it_3_$$unsorted)) % 205.52/205.72 (define @t201 () (@const 5 (-> it_3_$$unsorted it_3_$$unsorted Bool))) % 205.52/205.72 (define @t202 () (@list @t189 @t194)) % 205.52/205.72 (define @t203 () (forall (@list @t200) (or (not (_ @t191 @t200 tptp.tptp0)) (not (forall @t202 (or (not (_ @t201 @t194 @t200)) @t199 @t195)))))) % 205.52/205.72 (define @t204 () (@quantifiers_skolemize @t203 0)) % 205.52/205.72 (define @t205 () (forall @t193 (or @t192 (not (_ @t190 @t204 @t188 tptp.tptp0))))) % 205.52/205.72 (define @t206 () (@quantifiers_skolemize @t205 0)) % 205.52/205.72 (define @t207 () (@var "b_X39" it_3_$$unsorted)) % 205.52/205.72 (define @t208 () (@var "b_X38" it_3_$$unsorted)) % 205.52/205.72 (define @t209 () (forall @t152 (or (not @t150) (not @t149)))) % 205.52/205.72 (define @t210 () (forall @t162 (or (not @t160) (not @t159)))) % 205.52/205.72 (define @t211 () (not @t168)) % 205.52/205.72 (define @t212 () (not (forall @t170 (or @t211 (and @t165 (not @t210)) (and @t156 (not @t209)))))) % 205.52/205.72 (define @t213 () (=> @t156 @t209)) % 205.52/205.72 (define @t214 () (not @t213)) % 205.52/205.72 (define @t215 () (=> @t165 @t210)) % 205.52/205.72 (define @t216 () (not @t215)) % 205.52/205.72 (define @t217 () (or @t211 @t216 @t214)) % 205.52/205.72 (define @t218 () (and @t168 @t215 @t213)) % 205.52/205.72 (define @t219 () (forall @t170 (not @t218))) % 205.52/205.72 (define @t220 () (not @t219)) % 205.52/205.72 (define @t221 () (forall @t152 (not @t151))) % 205.52/205.72 (define @t222 () (not @t221)) % 205.52/205.72 (define @t223 () (forall @t162 (not @t161))) % 205.52/205.72 (define @t224 () (not @t223)) % 205.52/205.72 (define @t225 () (forall @t202 (or (not (_ @t201 @t194 @t204)) @t199 @t195))) % 205.52/205.72 (define @t226 () (not @t225)) % 205.52/205.72 (define @t227 () (_ @t191 @t204 tptp.tptp0)) % 205.52/205.72 (define @t228 () (not @t227)) % 205.52/205.72 (define @t229 () (or @t228 @t226)) % 205.52/205.72 (define @t230 () (@list true)) % 205.52/205.72 (define @t231 () (@list @t229)) % 205.52/205.72 (define @t232 () (@var "b_X108" it_3_$$unsorted)) % 205.52/205.72 (define @t233 () (@var "b_X107" it_3_$$unsorted)) % 205.52/205.72 (define @t234 () (@const 6 (-> it_3_$$unsorted it_3_$$unsorted $$unsorted Bool))) % 205.52/205.72 (define @t235 () (not (_ @t234 @t233 @t232 tptp.tptp0))) % 205.52/205.72 (define @t236 () (and (not (_ @t191 @t232 tptp.tptp1)) (not (_ @t191 @t232 tptp.tptp2)))) % 205.52/205.72 (define @t237 () (@var "b_X106" it_3_$$unsorted)) % 205.52/205.72 (define @t238 () (not (_ @t234 @t237 @t233 tptp.tptp0))) % 205.52/205.72 (define @t239 () (not (_ @t191 @t233 tptp.tptp4))) % 205.52/205.72 (define @t240 () (@const 7 (-> it_3_$$unsorted it_3_$$unsorted Bool))) % 205.52/205.72 (define @t241 () (not (_ @t191 @t237 tptp.tptp3))) % 205.52/205.72 (define @t242 () (@list @t237 @t233 @t232)) % 205.52/205.72 (define @t243 () (forall @t242 (or @t241 (not (_ @t240 @t237 @t204)) @t239 @t238 @t236 @t235 (not (_ @t201 @t232 @t204))))) % 205.52/205.72 (define @t244 () (@quantifiers_skolemize @t243 2)) % 205.52/205.72 (define @t245 () (forall @t198 (or @t197 (not (_ @t190 @t204 @t196 tptp.tptp0))))) % 205.52/205.72 (define @t246 () (@quantifiers_skolemize @t245 0)) % 205.52/205.72 (define @t247 () (_ @t178 @t246)) % 205.52/205.72 (define @t248 () (_ @t180 @t204 @t246)) % 205.52/205.72 (define @t249 () (and @t248 @t247)) % 205.52/205.72 (define @t250 () (not @t249)) % 205.52/205.72 (define @t251 () (@var "b_X18" it_3_$$unsorted)) % 205.52/205.72 (define @t252 () (@const 8 (-> it_3_$$unsorted Bool))) % 205.52/205.72 (define @t253 () (@list @t204)) % 205.52/205.72 (define @t254 () (@var "b_X16" it_3_$$unsorted)) % 205.52/205.72 (define @t255 () (_ @t252 @t204)) % 205.52/205.72 (define @t256 () (= @t146 @t255)) % 205.52/205.72 (define @t257 () (or @t228 @t256)) % 205.52/205.72 (define @t258 () (@list false false)) % 205.52/205.72 (define @t259 () (not @t255)) % 205.52/205.72 (define @t260 () (@list true false)) % 205.52/205.72 (define @t261 () (_ @t178 @t204)) % 205.52/205.72 (define @t262 () (not @t261)) % 205.52/205.72 (define @t263 () (or @t262 @t255)) % 205.52/205.72 (define @t264 () (not @t248)) % 205.52/205.72 (define @t265 () (not @t247)) % 205.52/205.72 (define @t266 () (or @t265 @t264 @t261)) % 205.52/205.72 (define @t267 () (_ @t187 @t204 @t246)) % 205.52/205.72 (define @t268 () (= @t267 @t249)) % 205.52/205.72 (define @t269 () (not @t267)) % 205.52/205.72 (define @t270 () (_ @t190 @t204 @t246 tptp.tptp0)) % 205.52/205.72 (define @t271 () (not @t270)) % 205.52/205.72 (define @t272 () (or @t271 @t267)) % 205.52/205.72 (define @t273 () (or (not (_ @t191 @t246 tptp.tptp2)) @t271)) % 205.52/205.72 (define @t274 () (not @t273)) % 205.52/205.72 (define @t275 () (not @t245)) % 205.52/205.72 (define @t276 () (@list false)) % 205.52/205.72 (define @t277 () (_ @t191 @t244 tptp.tptp1)) % 205.52/205.72 (define @t278 () (and @t277 @t275)) % 205.52/205.72 (define @t279 () (not @t278)) % 205.52/205.72 (define @t280 () (@var "b_X105" it_3_$$unsorted)) % 205.52/205.72 (define @t281 () (not @t128)) % 205.52/205.72 (define @t282 () (not @t130)) % 205.52/205.72 (define @t283 () (not @t135)) % 205.52/205.72 (define @t284 () (not @t136)) % 205.52/205.72 (define @t285 () (not @t137)) % 205.52/205.72 (define @t286 () (not @t138)) % 205.52/205.72 (define @t287 () (not (forall @t140 (or @t286 @t285 @t284 @t283 (and (not @t132) (not @t131)) @t282 @t281)))) % 205.52/205.72 (define @t288 () (not @t133)) % 205.52/205.72 (define @t289 () (or @t286 @t285 @t284 @t283 @t288 @t282 @t281)) % 205.52/205.72 (define @t290 () (forall @t140 (not @t139))) % 205.52/205.72 (define @t291 () (not @t290)) % 205.52/205.72 (define @t292 () (not @t243)) % 205.52/205.72 (define @t293 () (or @t228 @t292)) % 205.52/205.72 (define @t294 () (_ @t201 @t244 @t204)) % 205.52/205.72 (define @t295 () (not @t294)) % 205.52/205.72 (define @t296 () (@quantifiers_skolemize @t243 1)) % 205.52/205.72 (define @t297 () (_ @t191 @t244 tptp.tptp2)) % 205.52/205.72 (define @t298 () (@quantifiers_skolemize @t243 0)) % 205.52/205.72 (define @t299 () (or (not (_ @t191 @t298 tptp.tptp3)) (not (_ @t240 @t298 @t204)) (not (_ @t191 @t296 tptp.tptp4)) (not (_ @t234 @t298 @t296 tptp.tptp0)) (and (not @t277) (not @t297)) (not (_ @t234 @t296 @t244 tptp.tptp0)) @t295)) % 205.52/205.72 (define @t300 () (not @t205)) % 205.52/205.72 (define @t301 () (and @t297 @t300)) % 205.52/205.72 (define @t302 () (or @t295 @t278 @t301)) % 205.52/205.72 (define @t303 () (_ @t190 @t204 @t206 tptp.tptp0)) % 205.52/205.72 (define @t304 () (not @t303)) % 205.52/205.72 (define @t305 () (or (not (_ @t191 @t206 tptp.tptp1)) @t304)) % 205.52/205.72 (define @t306 () (not @t305)) % 205.52/205.72 (define @t307 () (_ @t187 @t204 @t206)) % 205.52/205.72 (define @t308 () (or @t304 @t307)) % 205.52/205.72 (define @t309 () (_ @t178 @t206)) % 205.52/205.72 (define @t310 () (_ @t180 @t204 @t206)) % 205.52/205.72 (define @t311 () (and @t310 @t309)) % 205.52/205.72 (define @t312 () (= @t307 @t311)) % 205.52/205.72 (define @t313 () (not @t311)) % 205.52/205.72 (define @t314 () (@list @t311)) % 205.52/205.72 (define @t315 () (not @t310)) % 205.52/205.72 (define @t316 () (not @t309)) % 205.52/205.72 (define @t317 () (or @t316 @t315 @t261)) % 205.52/205.72 (define @t318 () (not @t317)) % 205.52/205.72 (assume @p1 (forall (@list @t2 @t1) (=> (tptp.occurrence_of @t1 @t2) (and (tptp.activity @t2) (tptp.activity_occurrence @t1))))) % 205.52/205.72 (assume @p2 (forall (@list @t4) (=> (tptp.activity_occurrence @t4) (exists (@list @t3) (and (tptp.activity @t3) (tptp.occurrence_of @t4 @t3)))))) % 205.52/205.72 (assume @p3 (forall (@list @t7 @t6 @t5) (=> (and (tptp.occurrence_of @t7 @t6) (tptp.occurrence_of @t7 @t5)) (= @t6 @t5)))) % 205.52/205.72 (assume @p4 (forall (@list @t8) (=> (tptp.activity @t8) (tptp.subactivity @t8 @t8)))) % 205.52/205.72 (assume @p5 (forall (@list @t9 @t10) (=> (tptp.earlier @t9 @t10) (not (tptp.earlier @t10 @t9))))) % 205.52/205.72 (assume @p6 (forall (@list @t12 @t13 @t11) (=> (and (tptp.earlier @t12 @t13) (tptp.earlier @t13 @t11)) (tptp.earlier @t12 @t11)))) % 205.52/205.72 (assume @p7 (forall (@list @t15 @t16 @t14) (=> (and (tptp.earlier @t15 @t16) (tptp.earlier @t14 @t16)) (or (tptp.earlier @t14 @t15) (tptp.earlier @t15 @t14) (= @t15 @t14))))) % 205.52/205.72 (assume @p8 @t23) % 205.52/205.72 (assume @p9 @t28) % 205.52/205.72 (assume @p10 @t36) % 205.52/205.72 (assume @p11 @t39) % 205.52/205.72 (assume @p12 (forall (@list @t44 @t43 @t41) (=> (tptp.min_precedes @t43 @t41 @t44) (exists (@list @t42 @t40) (and (tptp.subactivity @t42 @t44) (tptp.subactivity @t40 @t44) (tptp.atocc @t43 @t42) (tptp.atocc @t41 @t40)))))) % 205.52/205.72 (assume @p13 (forall (@list @t47 @t46) (=> (tptp.root @t46 @t47) (exists (@list @t45) (and (tptp.subactivity @t45 @t47) (tptp.atocc @t46 @t45)))))) % 205.52/205.72 (assume @p14 (forall (@list @t51 @t49 @t48) (=> (tptp.min_precedes @t51 @t49 @t48) (exists (@list @t50) (and (tptp.root @t50 @t48) (tptp.min_precedes @t50 @t49 @t48)))))) % 205.52/205.72 (assume @p15 (forall (@list @t54 @t53 @t52) (=> (tptp.min_precedes @t54 @t53 @t52) (not (tptp.root @t53 @t52))))) % 205.52/205.72 (assume @p16 @t61) % 205.52/205.72 (assume @p17 (forall (@list @t62 @t63) (=> (tptp.root @t62 @t63) (tptp.legal @t62)))) % 205.52/205.72 (assume @p18 (forall (@list @t65 @t64) (=> (and (tptp.atocc @t65 @t64) (tptp.legal @t65)) (tptp.root @t65 @t64)))) % 205.52/205.72 (assume @p19 (forall (@list @t69 @t68 @t67 @t66) (=> (and (tptp.min_precedes @t69 @t68 @t66) (tptp.min_precedes @t69 @t67 @t66) (tptp.precedes @t68 @t67)) (tptp.min_precedes @t68 @t67 @t66)))) % 205.52/205.72 (assume @p20 (forall (@list @t72 @t71 @t70) (=> (tptp.min_precedes @t72 @t71 @t70) (not (tptp.atomic @t70))))) % 205.52/205.72 (assume @p21 (forall (@list @t76 @t75 @t74 @t73) (=> (and (tptp.min_precedes @t75 @t76 @t73) (tptp.min_precedes @t74 @t76 @t73) (tptp.precedes @t75 @t74)) (tptp.min_precedes @t75 @t74 @t73)))) % 205.52/205.72 (assume @p22 (forall (@list @t79 @t77) (= (tptp.leaf @t79 @t77) (and (or (tptp.root @t79 @t77) (exists (@list @t80) (tptp.min_precedes @t80 @t79 @t77))) (not (exists (@list @t78) (tptp.min_precedes @t79 @t78 @t77))))))) % 205.52/205.72 (assume @p23 (forall (@list @t84 @t82 @t81) (= (tptp.next_subocc @t84 @t82 @t81) (and (tptp.min_precedes @t84 @t82 @t81) (not (exists (@list @t83) (and (tptp.min_precedes @t84 @t83 @t81) (tptp.min_precedes @t83 @t82 @t81)))))))) % 205.52/205.72 (assume @p24 (forall (@list @t86 @t87) (= (tptp.atocc @t86 @t87) (exists (@list @t85) (and (tptp.subactivity @t87 @t85) (tptp.atomic @t85) (tptp.occurrence_of @t86 @t85)))))) % 205.52/205.72 (assume @p25 (forall (@list @t89 @t88) (=> (tptp.subactivity_occurrence @t89 @t88) (and (tptp.activity_occurrence @t89) (tptp.activity_occurrence @t88))))) % 205.52/205.72 (assume @p26 (forall (@list @t93 @t92 @t91) (=> (tptp.min_precedes @t92 @t91 @t93) (exists (@list @t90) (and (tptp.occurrence_of @t90 @t93) (tptp.subactivity_occurrence @t92 @t90) (tptp.subactivity_occurrence @t91 @t90)))))) % 205.52/205.72 (assume @p27 (forall (@list @t96 @t95) (=> (and (tptp.root @t95 @t96) (not (tptp.atomic @t96))) (exists (@list @t94) (and (tptp.occurrence_of @t94 @t96) (tptp.subactivity_occurrence @t95 @t94)))))) % 205.52/205.72 (assume @p28 (forall (@list @t99 @t97) (=> (and (tptp.occurrence_of @t97 @t99) (not (tptp.atomic @t99))) (exists (@list @t98) (and (tptp.root @t98 @t99) (tptp.subactivity_occurrence @t98 @t97)))))) % 205.52/205.72 (assume @p29 (forall (@list @t102 @t103 @t101 @t100) (=> (and (tptp.occurrence_of @t103 @t102) (tptp.arboreal @t101) (tptp.arboreal @t100) (tptp.subactivity_occurrence @t101 @t103) (tptp.subactivity_occurrence @t100 @t103)) (or (tptp.min_precedes @t101 @t100 @t102) (tptp.min_precedes @t100 @t101 @t102) (= @t101 @t100))))) % 205.52/205.72 (assume @p30 (forall (@list @t105 @t106 @t107 @t104) (=> (and (tptp.min_precedes @t105 @t106 @t107) (tptp.occurrence_of @t104 @t107) (tptp.subactivity_occurrence @t106 @t104)) (tptp.subactivity_occurrence @t105 @t104)))) % 205.52/205.72 (assume @p31 (forall (@list @t109 @t108 @t111 @t110) (=> (and (tptp.occurrence_of @t111 @t109) (tptp.occurrence_of @t110 @t108) (not (tptp.atomic @t109)) (tptp.subactivity_occurrence @t111 @t110)) (tptp.subactivity @t109 @t108)))) % 205.52/205.72 (assume @p32 (forall (@list @t113 @t114 @t112) (=> (and (tptp.subactivity_occurrence @t113 @t114) (tptp.subactivity_occurrence @t114 @t112)) (tptp.subactivity_occurrence @t113 @t112)))) % 205.52/205.72 (assume @p33 (forall (@list @t119 @t118 @t115 @t117) (=> (and (tptp.occurrence_of @t115 @t119) (tptp.occurrence_of @t117 @t118) (tptp.subactivity @t119 @t118) (not (tptp.subactivity_occurrence @t115 @t117))) (exists (@list @t116) (and (tptp.subactivity_occurrence @t116 @t117) (not (tptp.subactivity_occurrence @t116 @t115))))))) % 205.52/205.72 (assume @p34 (forall (@list @t121 @t122) (= (tptp.root_occ @t121 @t122) (exists (@list @t120) (and (tptp.occurrence_of @t122 @t120) (tptp.subactivity_occurrence @t121 @t122) (tptp.root @t121 @t120)))))) % 205.52/205.72 (assume @p35 (forall (@list @t124 @t125) (= (tptp.leaf_occ @t124 @t125) (exists (@list @t123) (and (tptp.occurrence_of @t125 @t123) (tptp.subactivity_occurrence @t124 @t125) (tptp.leaf @t124 @t123)))))) % 205.52/205.72 (assume @p36 @t145) % 205.52/205.72 (assume @p37 (tptp.activity tptp.tptp0)) % 205.52/205.72 (assume @p38 (not @t146)) % 205.52/205.72 (assume @p39 (tptp.atomic tptp.tptp4)) % 205.52/205.72 (assume @p40 (tptp.atomic tptp.tptp1)) % 205.52/205.72 (assume @p41 (tptp.atomic tptp.tptp2)) % 205.52/205.72 (assume @p42 (tptp.atomic tptp.tptp3)) % 205.52/205.72 (assume @p43 (not (= tptp.tptp4 tptp.tptp3))) % 205.52/205.72 (assume @p44 (not (= tptp.tptp4 tptp.tptp1))) % 205.52/205.72 (assume @p45 (not (= tptp.tptp4 tptp.tptp2))) % 205.52/205.72 (assume @p46 (not (= tptp.tptp3 tptp.tptp1))) % 205.52/205.72 (assume @p47 (not (= tptp.tptp3 tptp.tptp2))) % 205.52/205.72 (assume @p48 (not (= tptp.tptp1 tptp.tptp2))) % 205.52/205.72 (assume @p49 @t176) % 205.52/205.72 (assume @p50 true) % 205.52/205.72 ; WARNING: add trust step for TRUST % 205.52/205.72 ; trust TRUST PREPROCESS_SORT_INFER % 205.52/205.72 (step @p51 :rule trust :premises () :args ((= (forall @t35 @t184) @t181))) % 205.52/205.72 (step @p52 :rule aci_norm :args ((= (or (or @t183 @t182) @t30) @t184))) % 205.52/205.72 (step @p53 :rule refl :args (@t30)) % 205.52/205.72 (step @p54 :rule bool-and-de-morgan :args (@t33 @t32 true)) % 205.52/205.72 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or (not @t34) @t30))) % 205.52/205.72 (step @p56 :rule trans :premises (@p55 @p52)) % 205.52/205.72 (step @p57 :rule bool-impl-elim :args (@t34 @t30)) % 205.52/205.72 (step @p58 :rule trans :premises (@p57 @p56)) % 205.52/205.72 (step @p59 :rule cong :premises (@p58) :args (@t36)) % 205.52/205.72 (step @p60 :rule trans :premises (@p59 @p51)) % 205.52/205.72 (step @p61 :rule eq_resolve :premises (@p10 @p60)) % 205.52/205.72 ; trust TRUST PREPROCESS_SORT_INFER % 205.52/205.72 (step @p62 :rule trust :premises () :args ((= @t39 (forall (@list @t186 @t185) (= (_ @t187 @t186 @t185) (and (_ @t180 @t186 @t185) (_ @t178 @t185))))))) % 205.52/205.72 (step @p63 :rule eq_resolve :premises (@p11 @p62)) % 205.52/205.72 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t204 @t206))) % 205.52/205.72 ; trust TRUST PREPROCESS_SORT_INFER % 205.52/205.72 (step @p65 :rule trust :premises () :args ((= (forall @t60 (or (not @t59) @t57)) (forall (@list @t208 @t207 @t58) (or (not (_ @t190 @t208 @t207 @t58)) (_ @t187 @t208 @t207)))))) % 205.52/205.72 (step @p66 :rule bool-impl-elim :args (@t59 @t57)) % 205.52/205.72 (step @p67 :rule cong :premises (@p66) :args (@t61)) % 205.52/205.72 (step @p68 :rule trans :premises (@p67 @p65)) % 205.52/205.72 (step @p69 :rule eq_resolve :premises (@p16 @p68)) % 205.52/205.72 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t204 @t206 tptp.tptp0))) % 205.52/205.72 ; trust TRUST PREPROCESS_SORT_INFER % 205.52/205.72 (step @p71 :rule trust :premises () :args ((= (not (forall @t174 (or (not @t172) @t212))) (not @t203)))) % 205.52/205.72 (step @p72 :rule bool-impl-elim :args (@t172 @t212)) % 205.52/205.72 (step @p73 :rule cong :premises (@p72) :args ((forall @t174 (=> @t172 @t212)))) % 205.52/205.72 (step @p74 :rule bool-implies-de-morgan :args (@t156 @t209)) % 205.52/205.72 (step @p75 :rule bool-implies-de-morgan :args (@t165 @t210)) % 205.52/205.72 (step @p76 :rule refl :args (@t211)) % 205.52/205.72 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74) :args (@t217)) % 205.52/205.72 (step @p78 :rule aci_norm :args ((= (or @t211 (or @t216 @t214)) @t217))) % 205.52/205.72 (step @p79 :rule bool-and-de-morgan :args (@t215 @t213 true)) % 205.52/205.72 (step @p80 :rule nary_cong :premises (@p76 @p79) :args ((or @t211 (not (and @t215 @t213))))) % 205.52/205.72 (step @p81 :rule bool-and-de-morgan :args (@t168 @t215 (and @t213))) % 205.52/205.72 (step @p82 :rule trans :premises (@p81 @p80)) % 205.52/205.72 (step @p83 :rule trans :premises (@p82 @p78)) % 205.52/205.72 (step @p84 :rule trans :premises (@p83 @p77)) % 205.52/205.72 (step @p85 :rule cong :premises (@p84) :args (@t219)) % 205.52/205.72 (step @p86 :rule cong :premises (@p85) :args (@t220)) % 205.52/205.72 (step @p87 :rule exists-elim :args ((= (exists @t170 @t218) @t220))) % 205.52/205.72 (step @p88 :rule trans :premises (@p87 @p86)) % 205.52/205.72 (step @p89 :rule bool-double-not-elim :args (@t209)) % 205.52/205.72 (step @p90 :rule bool-and-de-morgan :args (@t150 @t149 true)) % 205.52/205.72 (step @p91 :rule cong :premises (@p90) :args (@t221)) % 205.52/205.72 (step @p92 :rule cong :premises (@p91) :args (@t222)) % 205.52/205.72 (step @p93 :rule exists-elim :args ((= @t153 @t222))) % 205.52/205.72 (step @p94 :rule trans :premises (@p93 @p92)) % 205.52/205.72 (step @p95 :rule cong :premises (@p94) :args (@t154)) % 205.52/205.72 (step @p96 :rule trans :premises (@p95 @p89)) % 205.52/205.72 (step @p97 :rule refl :args (@t156)) % 205.52/205.72 (step @p98 :rule cong :premises (@p97 @p96) :args (@t157)) % 205.52/205.72 (step @p99 :rule bool-double-not-elim :args (@t210)) % 205.52/205.72 (step @p100 :rule bool-and-de-morgan :args (@t160 @t159 true)) % 205.52/205.72 (step @p101 :rule cong :premises (@p100) :args (@t223)) % 205.52/205.72 (step @p102 :rule cong :premises (@p101) :args (@t224)) % 205.52/205.72 (step @p103 :rule exists-elim :args ((= @t163 @t224))) % 205.52/205.72 (step @p104 :rule trans :premises (@p103 @p102)) % 205.52/205.72 (step @p105 :rule cong :premises (@p104) :args (@t164)) % 205.52/205.72 (step @p106 :rule trans :premises (@p105 @p99)) % 205.52/205.72 (step @p107 :rule refl :args (@t165)) % 205.52/205.72 (step @p108 :rule cong :premises (@p107 @p106) :args (@t166)) % 205.52/205.72 (step @p109 :rule refl :args (@t168)) % 205.52/205.72 (step @p110 :rule nary_cong :premises (@p109 @p108 @p98) :args (@t169)) % 205.52/205.72 (step @p111 :rule cong :premises (@p110) :args (@t171)) % 205.52/205.72 (step @p112 :rule trans :premises (@p111 @p88)) % 205.52/205.72 (step @p113 :rule refl :args (@t172)) % 205.52/205.72 (step @p114 :rule cong :premises (@p113 @p112) :args (@t173)) % 205.52/205.72 (step @p115 :rule cong :premises (@p114) :args (@t175)) % 205.52/205.72 (step @p116 :rule trans :premises (@p115 @p73)) % 205.52/205.72 (step @p117 :rule cong :premises (@p116) :args (@t176)) % 205.52/205.72 (step @p118 :rule trans :premises (@p117 @p71)) % 205.52/205.72 (step @p119 :rule eq_resolve :premises (@p49 @p118)) % 205.52/205.72 (step @p120 :rule skolemize :premises (@p119)) % 205.52/205.72 (step @p121 :rule bool-double-not-elim :args (@t225)) % 205.52/205.72 (step @p122 :rule refl :args (@t229)) % 205.52/205.72 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or @t229 (not @t226)))) % 205.52/205.72 (step @p124 :rule cnf_or_neg :args (@t229 1)) % 205.52/205.72 (step @p125 :rule eq_resolve :premises (@p124 @p123)) % 205.52/205.72 (step @p126 :rule reordering :premises (@p125) :args ((or @t225 @t229))) % 205.52/205.72 (step @p127 :rule chain_m_resolution :premises (@p126 @p120) :args (@t225 @t230 @t231)) % 205.52/205.72 (step @p128 :rule instantiate :premises (@p127) :args ((@list @t204 @t244))) % 205.52/205.72 (step @p129 :rule instantiate :premises (@p69) :args ((@list @t204 @t246 tptp.tptp0))) % 205.52/205.72 (step @p130 :rule instantiate :premises (@p63) :args ((@list @t204 @t246))) % 205.52/205.72 (step @p131 :rule cnf_and_pos :args (@t249 0)) % 205.52/205.72 (step @p132 :rule reordering :premises (@p131) :args ((or @t248 @t250))) % 205.52/205.72 (step @p133 :rule cnf_and_pos :args (@t249 1)) % 205.52/205.72 (step @p134 :rule reordering :premises (@p133) :args ((or @t247 @t250))) % 205.52/205.72 ; trust TRUST PREPROCESS_SORT_INFER % 205.52/205.72 (step @p135 :rule trust :premises () :args ((= (forall @t27 (or (not @t26) @t25)) (forall (@list @t251) (or (not (_ @t178 @t251)) (_ @t252 @t251)))))) % 205.52/205.72 (step @p136 :rule bool-impl-elim :args (@t26 @t25)) % 205.52/205.72 (step @p137 :rule cong :premises (@p136) :args (@t28)) % 205.52/205.72 (step @p138 :rule trans :premises (@p137 @p135)) % 205.52/205.72 (step @p139 :rule eq_resolve :premises (@p9 @p138)) % 205.52/205.72 (step @p140 :rule instantiate :premises (@p139) :args (@t253)) % 205.52/205.72 ; trust TRUST PREPROCESS_SORT_INFER % 205.52/205.72 (step @p141 :rule trust :premises () :args ((= (forall @t22 (or (not @t21) @t20)) (forall (@list @t254 @t17) (or (not (_ @t191 @t254 @t17)) (= @t18 (_ @t252 @t254))))))) % 205.52/205.72 (step @p142 :rule bool-impl-elim :args (@t21 @t20)) % 205.52/205.72 (step @p143 :rule cong :premises (@p142) :args (@t23)) % 205.52/205.72 (step @p144 :rule trans :premises (@p143 @p141)) % 205.52/205.72 (step @p145 :rule eq_resolve :premises (@p8 @p144)) % 205.52/205.72 (step @p146 :rule instantiate :premises (@p145) :args ((@list @t204 tptp.tptp0))) % 205.52/205.72 (step @p147 :rule bool-double-not-elim :args (@t227)) % 205.52/205.72 (step @p148 :rule nary_cong :premises (@p122 @p147) :args ((or @t229 (not @t228)))) % 205.52/205.72 (step @p149 :rule cnf_or_neg :args (@t229 0)) % 205.52/205.72 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 205.52/205.72 (step @p151 :rule reordering :premises (@p150) :args ((or @t227 @t229))) % 205.52/205.72 (step @p152 :rule chain_m_resolution :premises (@p151 @p120) :args (@t227 @t230 @t231)) % 205.52/205.72 (step @p153 :rule cnf_or_pos :args (@t257)) % 205.52/205.72 (step @p154 :rule reordering :premises (@p153) :args ((or @t228 @t256 (not @t257)))) % 205.52/205.72 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p146) :args (@t256 @t258 (@list @t227 @t257))) % 205.52/205.72 (step @p156 :rule cnf_equiv_pos2 :args (@t256)) % 205.52/205.72 (step @p157 :rule reordering :premises (@p156) :args ((or @t146 @t259 (not @t256)))) % 205.52/205.72 (step @p158 :rule chain_m_resolution :premises (@p157 @p38 @p155) :args (@t259 @t260 (@list @t146 @t256))) % 205.52/205.72 (step @p159 :rule cnf_or_pos :args (@t263)) % 205.52/205.72 (step @p160 :rule reordering :premises (@p159) :args ((or @t255 @t262 (not @t263)))) % 205.52/205.72 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p140) :args (@t262 @t260 (@list @t255 @t263))) % 205.52/205.72 (step @p162 :rule instantiate :premises (@p61) :args ((@list @t246 @t204))) % 205.52/205.72 (step @p163 :rule cnf_or_pos :args (@t266)) % 205.52/205.72 (step @p164 :rule reordering :premises (@p163) :args ((or @t261 @t265 @t264 (not @t266)))) % 205.52/205.72 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p161 @p134 @p132) :args (@t250 (@list false true false false) (@list @t266 @t261 @t247 @t248))) % 205.52/205.72 (step @p166 :rule cnf_equiv_pos1 :args (@t268)) % 205.52/205.72 (step @p167 :rule reordering :premises (@p166) :args ((or @t269 @t249 (not @t268)))) % 205.52/205.72 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p130) :args (@t269 @t260 (@list @t249 @t268))) % 205.52/205.72 (step @p169 :rule cnf_or_pos :args (@t272)) % 205.52/205.72 (step @p170 :rule reordering :premises (@p169) :args ((or @t271 @t267 (not @t272)))) % 205.52/205.72 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p129) :args (@t271 @t260 (@list @t267 @t272))) % 205.52/205.72 (step @p172 :rule bool-double-not-elim :args (@t270)) % 205.52/205.72 (step @p173 :rule refl :args (@t273)) % 205.52/205.72 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t273 (not @t271)))) % 205.52/205.72 (step @p175 :rule cnf_or_neg :args (@t273 1)) % 205.52/205.72 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 205.52/205.72 (step @p177 :rule reordering :premises (@p176) :args ((or @t270 @t273))) % 205.52/205.72 (step @p178 :rule chain_m_resolution :premises (@p177 @p171) :args (@t273 @t230 (@list @t270))) % 205.52/205.72 (step @p179 :rule refl :args (@t274)) % 205.52/205.72 (step @p180 :rule bool-double-not-elim :args (@t245)) % 205.52/205.72 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or (not @t275) @t274))) % 205.52/205.72 (assume-push @p289 @t275) % 205.52/205.72 (step @p183 :rule skolemize :premises (@p289)) % 205.52/205.72 (step-pop @p290 :rule scope :premises (@p183)) % 205.52/205.72 (step @p184 :rule process_scope :premises (@p290) :args (@t274)) % 205.52/205.72 (step @p186 :rule implies_elim :premises (@p184)) % 205.52/205.72 (step @p187 :rule eq_resolve :premises (@p186 @p181)) % 205.52/205.72 (step @p188 :rule chain_m_resolution :premises (@p187 @p178) :args (@t245 @t276 (@list @t273))) % 205.52/205.72 (step @p189 :rule cnf_and_pos :args (@t278 1)) % 205.52/205.72 (step @p190 :rule reordering :premises (@p189) :args ((or @t275 @t279))) % 205.52/205.72 (step @p191 :rule chain_m_resolution :premises (@p190 @p188) :args (@t279 @t276 (@list @t245))) % 205.52/205.72 ; trust TRUST PREPROCESS_SORT_INFER % 205.52/205.72 (step @p192 :rule trust :premises () :args ((= (forall @t144 (or (not @t142) @t287)) (forall (@list @t280) (or (not (_ @t191 @t280 tptp.tptp0)) (not (forall @t242 (or @t241 (not (_ @t240 @t237 @t280)) @t239 @t238 @t236 @t235 (not (_ @t201 @t232 @t280)))))))))) % 205.52/205.72 (step @p193 :rule bool-impl-elim :args (@t142 @t287)) % 205.52/205.72 (step @p194 :rule cong :premises (@p193) :args ((forall @t144 (=> @t142 @t287)))) % 205.52/205.72 (step @p195 :rule refl :args (@t281)) % 205.52/205.72 (step @p196 :rule refl :args (@t282)) % 205.52/205.72 (step @p197 :rule bool-or-de-morgan :args (@t132 @t131 false)) % 205.52/205.72 (step @p198 :rule refl :args (@t283)) % 205.52/205.72 (step @p199 :rule refl :args (@t284)) % 205.52/205.72 (step @p200 :rule refl :args (@t285)) % 205.52/205.72 (step @p201 :rule refl :args (@t286)) % 205.52/205.72 (step @p202 :rule nary_cong :premises (@p201 @p200 @p199 @p198 @p197 @p196 @p195) :args (@t289)) % 205.52/205.72 (step @p203 :rule aci_norm :args ((= (or @t286 (or @t285 (or @t284 (or @t283 (or @t288 (or @t282 @t281)))))) @t289))) % 205.52/205.72 (step @p204 :rule bool-and-de-morgan :args (@t130 @t128 true)) % 205.52/205.72 (step @p205 :rule refl :args (@t288)) % 205.52/205.72 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or @t288 (not (and @t130 @t128))))) % 205.52/205.72 (step @p207 :rule bool-and-de-morgan :args (@t133 @t130 (and @t128))) % 205.52/205.72 (step @p208 :rule trans :premises (@p207 @p206)) % 205.52/205.72 (step @p209 :rule nary_cong :premises (@p198 @p208) :args ((or @t283 (not (and @t133 @t130 @t128))))) % 205.52/205.72 (step @p210 :rule bool-and-de-morgan :args (@t135 @t133 (and @t130 @t128))) % 205.52/205.72 (step @p211 :rule trans :premises (@p210 @p209)) % 205.52/205.72 (step @p212 :rule nary_cong :premises (@p199 @p211) :args ((or @t284 (not (and @t135 @t133 @t130 @t128))))) % 205.52/205.72 (step @p213 :rule bool-and-de-morgan :args (@t136 @t135 (and @t133 @t130 @t128))) % 205.52/205.72 (step @p214 :rule trans :premises (@p213 @p212)) % 205.52/205.72 (step @p215 :rule nary_cong :premises (@p200 @p214) :args ((or @t285 (not (and @t136 @t135 @t133 @t130 @t128))))) % 205.52/205.72 (step @p216 :rule bool-and-de-morgan :args (@t137 @t136 (and @t135 @t133 @t130 @t128))) % 205.52/205.72 (step @p217 :rule trans :premises (@p216 @p215)) % 205.52/205.72 (step @p218 :rule nary_cong :premises (@p201 @p217) :args ((or @t286 (not (and @t137 @t136 @t135 @t133 @t130 @t128))))) % 205.52/205.72 (step @p219 :rule bool-and-de-morgan :args (@t138 @t137 (and @t136 @t135 @t133 @t130 @t128))) % 205.52/205.72 (step @p220 :rule trans :premises (@p219 @p218)) % 205.52/205.72 (step @p221 :rule trans :premises (@p220 @p203)) % 205.52/205.72 (step @p222 :rule trans :premises (@p221 @p202)) % 205.52/205.72 (step @p223 :rule cong :premises (@p222) :args (@t290)) % 205.52/205.72 (step @p224 :rule cong :premises (@p223) :args (@t291)) % 205.52/205.72 (step @p225 :rule exists-elim :args ((= @t141 @t291))) % 205.52/205.72 (step @p226 :rule trans :premises (@p225 @p224)) % 205.52/205.72 (step @p227 :rule refl :args (@t142)) % 205.52/205.72 (step @p228 :rule cong :premises (@p227 @p226) :args (@t143)) % 205.52/205.72 (step @p229 :rule cong :premises (@p228) :args (@t145)) % 205.52/205.72 (step @p230 :rule trans :premises (@p229 @p194)) % 205.52/205.72 (step @p231 :rule trans :premises (@p230 @p192)) % 205.52/205.72 (step @p232 :rule eq_resolve :premises (@p36 @p231)) % 205.52/205.72 (step @p233 :rule instantiate :premises (@p232) :args (@t253)) % 205.52/205.72 (step @p234 :rule cnf_or_pos :args (@t293)) % 205.52/205.72 (step @p235 :rule reordering :premises (@p234) :args ((or @t228 @t292 (not @t293)))) % 205.52/205.72 (step @p236 :rule chain_m_resolution :premises (@p235 @p152 @p233) :args (@t292 @t258 (@list @t227 @t293))) % 205.52/205.72 (step @p237 :rule skolemize :premises (@p236)) % 205.52/205.72 (step @p238 :rule bool-double-not-elim :args (@t294)) % 205.52/205.72 (step @p239 :rule refl :args (@t299)) % 205.52/205.72 (step @p240 :rule nary_cong :premises (@p239 @p238) :args ((or @t299 (not @t295)))) % 205.52/205.72 (step @p241 :rule cnf_or_neg :args (@t299 6)) % 205.52/205.72 (step @p242 :rule eq_resolve :premises (@p241 @p240)) % 205.52/205.72 (step @p243 :rule reordering :premises (@p242) :args ((or @t294 @t299))) % 205.52/205.72 (step @p244 :rule chain_m_resolution :premises (@p243 @p237) :args (@t294 @t230 (@list @t299))) % 205.52/205.72 (step @p245 :rule cnf_or_pos :args (@t302)) % 205.52/205.72 (step @p246 :rule reordering :premises (@p245) :args ((or @t295 @t278 @t301 (not @t302)))) % 205.52/205.72 (step @p247 :rule chain_m_resolution :premises (@p246 @p244 @p191 @p128) :args (@t301 (@list false true false) (@list @t294 @t278 @t302))) % 205.52/205.72 (step @p248 :rule cnf_and_pos :args (@t301 1)) % 205.52/205.72 (step @p249 :rule reordering :premises (@p248) :args ((or @t300 (not @t301)))) % 205.52/205.72 (step @p250 :rule chain_m_resolution :premises (@p249 @p247) :args (@t300 @t276 (@list @t301))) % 205.52/205.72 (step @p251 :rule refl :args (@t306)) % 205.52/205.72 (step @p252 :rule bool-double-not-elim :args (@t205)) % 205.52/205.72 (step @p253 :rule nary_cong :premises (@p252 @p251) :args ((or (not @t300) @t306))) % 205.52/205.72 (assume-push @p291 @t300) % 205.52/205.72 (step @p255 :rule skolemize :premises (@p291)) % 205.52/205.72 (step-pop @p292 :rule scope :premises (@p255)) % 205.52/205.72 (step @p256 :rule process_scope :premises (@p292) :args (@t306)) % 205.52/205.72 (step @p258 :rule implies_elim :premises (@p256)) % 205.52/205.72 (step @p259 :rule eq_resolve :premises (@p258 @p253)) % 205.52/205.72 (step @p260 :rule chain_m_resolution :premises (@p259 @p250) :args (@t306 @t230 (@list @t205))) % 205.52/205.72 (step @p261 :rule bool-double-not-elim :args (@t303)) % 205.52/205.72 (step @p262 :rule refl :args (@t305)) % 205.52/205.72 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or @t305 (not @t304)))) % 205.52/205.72 (step @p264 :rule cnf_or_neg :args (@t305 1)) % 205.52/205.72 (step @p265 :rule eq_resolve :premises (@p264 @p263)) % 205.52/205.72 (step @p266 :rule reordering :premises (@p265) :args ((or @t303 @t305))) % 205.52/205.73 (step @p267 :rule chain_m_resolution :premises (@p266 @p260) :args (@t303 @t230 (@list @t305))) % 205.52/205.73 (step @p268 :rule cnf_or_pos :args (@t308)) % 205.52/205.73 (step @p269 :rule reordering :premises (@p268) :args ((or @t304 @t307 (not @t308)))) % 205.52/205.73 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p70) :args (@t307 @t258 (@list @t303 @t308))) % 205.52/205.73 (step @p271 :rule cnf_equiv_pos1 :args (@t312)) % 205.52/205.73 (step @p272 :rule reordering :premises (@p271) :args ((or (not @t307) @t311 (not @t312)))) % 205.52/205.73 (step @p273 :rule chain_m_resolution :premises (@p272 @p270 @p64) :args (@t311 @t258 (@list @t307 @t312))) % 205.52/205.73 (step @p274 :rule cnf_and_pos :args (@t311 0)) % 205.52/205.73 (step @p275 :rule reordering :premises (@p274) :args ((or @t310 @t313))) % 205.52/205.73 (step @p276 :rule chain_m_resolution :premises (@p275 @p273) :args (@t310 @t276 @t314)) % 205.52/205.73 (step @p277 :rule cnf_and_pos :args (@t311 1)) % 205.52/205.73 (step @p278 :rule reordering :premises (@p277) :args ((or @t309 @t313))) % 205.52/205.73 (step @p279 :rule chain_m_resolution :premises (@p278 @p273) :args (@t309 @t276 @t314)) % 205.52/205.73 (step @p280 :rule cnf_or_pos :args (@t317)) % 205.52/205.73 (step @p281 :rule reordering :premises (@p280) :args ((or @t261 @t316 @t315 @t318))) % 205.52/205.73 (step @p282 :rule chain_m_resolution :premises (@p281 @p161 @p279 @p276) :args (@t318 (@list true false false) (@list @t261 @t309 @t310))) % 205.52/205.73 (assume-push @p293 @t181) % 205.52/205.73 (step @p284 :rule instantiate :premises (@p61) :args ((@list @t206 @t204))) % 205.52/205.73 (step-pop @p294 :rule scope :premises (@p284)) % 205.52/205.73 (step @p285 :rule process_scope :premises (@p294) :args (@t317)) % 205.52/205.73 (step @p287 :rule implies_elim :premises (@p285)) % 205.52/205.73 (step @p288 false :rule chain_m_resolution :premises (@p287 @p282 @p61) :args (false @t260 (@list @t317 @t181))) % 205.52/205.73 ) % 205.52/205.73 % SZS output end Proof % 205.52/205.73 % cvc5 exiting %------------------------------------------------------------------------------