%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC403-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:59:11 AM UTC 2026 % Result : Unsatisfiable 115.93s 116.19s % Output : Proof 116.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC403-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.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 19:46:26 EDT 2026 % 0.17/0.34 % CPUTime : % 0.34/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/15.83 --- Run --no-e-matching --full-saturate-quant at 6... % 21.61/21.88 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.71/27.93 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.72/34.00 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.93/64.15 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.99/79.23 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.10/112.33 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 115.93/116.19 % SZS status Unsatisfiable % 115.93/116.19 % SZS output start Proof % 116.00/116.20 ( % 116.00/116.20 (declare-sort $$unsorted 0) % 116.00/116.20 (declare-const tptp.sk5 $$unsorted) % 116.00/116.20 (declare-const tptp.sk4 $$unsorted) % 116.00/116.20 (declare-const tptp.sk2 $$unsorted) % 116.00/116.20 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.nil $$unsorted) % 116.00/116.20 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.sk1 $$unsorted) % 116.00/116.20 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.skac2 $$unsorted) % 116.00/116.20 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.sk3 $$unsorted) % 116.00/116.20 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.ssList (-> $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skac3 $$unsorted) % 116.00/116.20 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 116.00/116.20 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 116.00/116.20 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 116.00/116.20 (define @t1 () (@var "U" $$unsorted)) % 116.00/116.20 (define @t2 () (tptp.skaf83 @t1)) % 116.00/116.20 (define @t3 () (@list @t1)) % 116.00/116.20 (define @t4 () (tptp.skaf82 @t1)) % 116.00/116.20 (define @t5 () (tptp.skaf81 @t1)) % 116.00/116.20 (define @t6 () (tptp.skaf80 @t1)) % 116.00/116.20 (define @t7 () (tptp.skaf79 @t1)) % 116.00/116.20 (define @t8 () (tptp.skaf78 @t1)) % 116.00/116.20 (define @t9 () (tptp.skaf77 @t1)) % 116.00/116.20 (define @t10 () (tptp.skaf76 @t1)) % 116.00/116.20 (define @t11 () (tptp.skaf75 @t1)) % 116.00/116.20 (define @t12 () (tptp.skaf74 @t1)) % 116.00/116.20 (define @t13 () (tptp.skaf73 @t1)) % 116.00/116.20 (define @t14 () (tptp.skaf72 @t1)) % 116.00/116.20 (define @t15 () (tptp.skaf71 @t1)) % 116.00/116.20 (define @t16 () (tptp.skaf70 @t1)) % 116.00/116.20 (define @t17 () (tptp.skaf69 @t1)) % 116.00/116.20 (define @t18 () (tptp.skaf68 @t1)) % 116.00/116.20 (define @t19 () (tptp.skaf67 @t1)) % 116.00/116.20 (define @t20 () (tptp.skaf66 @t1)) % 116.00/116.20 (define @t21 () (tptp.skaf65 @t1)) % 116.00/116.20 (define @t22 () (tptp.skaf64 @t1)) % 116.00/116.20 (define @t23 () (tptp.skaf63 @t1)) % 116.00/116.20 (define @t24 () (tptp.skaf62 @t1)) % 116.00/116.20 (define @t25 () (tptp.skaf61 @t1)) % 116.00/116.20 (define @t26 () (tptp.skaf60 @t1)) % 116.00/116.20 (define @t27 () (tptp.skaf59 @t1)) % 116.00/116.20 (define @t28 () (tptp.skaf58 @t1)) % 116.00/116.20 (define @t29 () (tptp.skaf57 @t1)) % 116.00/116.20 (define @t30 () (tptp.skaf56 @t1)) % 116.00/116.20 (define @t31 () (tptp.skaf55 @t1)) % 116.00/116.20 (define @t32 () (tptp.skaf54 @t1)) % 116.00/116.20 (define @t33 () (tptp.skaf53 @t1)) % 116.00/116.20 (define @t34 () (tptp.skaf52 @t1)) % 116.00/116.20 (define @t35 () (tptp.skaf51 @t1)) % 116.00/116.20 (define @t36 () (tptp.skaf50 @t1)) % 116.00/116.20 (define @t37 () (tptp.skaf49 @t1)) % 116.00/116.20 (define @t38 () (tptp.skaf44 @t1)) % 116.00/116.20 (define @t39 () (@var "V" $$unsorted)) % 116.00/116.20 (define @t40 () (@list @t1 @t39)) % 116.00/116.20 (define @t41 () (tptp.skaf47 @t1 @t39)) % 116.00/116.20 (define @t42 () (tptp.skaf46 @t1 @t39)) % 116.00/116.20 (define @t43 () (tptp.skaf45 @t1 @t39)) % 116.00/116.20 (define @t44 () (tptp.skaf42 @t1 @t39)) % 116.00/116.20 (define @t45 () (not (tptp.ssItem @t1))) % 116.00/116.20 (define @t46 () (not (tptp.ssList @t1))) % 116.00/116.20 (define @t47 () (tptp.cons @t1 tptp.nil)) % 116.00/116.20 (define @t48 () (tptp.ssItem @t39)) % 116.00/116.20 (define @t49 () (tptp.duplicatefreeP @t1)) % 116.00/116.20 (define @t50 () (= tptp.nil @t1)) % 116.00/116.20 (define @t51 () (tptp.tl @t1)) % 116.00/116.20 (define @t52 () (tptp.hd @t1)) % 116.00/116.20 (define @t53 () (tptp.segmentP tptp.nil @t1)) % 116.00/116.20 (define @t54 () (not @t50)) % 116.00/116.20 (define @t55 () (tptp.rearsegP tptp.nil @t1)) % 116.00/116.20 (define @t56 () (tptp.frontsegP tptp.nil @t1)) % 116.00/116.20 (define @t57 () (tptp.app @t39 @t1)) % 116.00/116.20 (define @t58 () (not (tptp.ssList @t39))) % 116.00/116.20 (define @t59 () (tptp.cons @t1 @t39)) % 116.00/116.20 (define @t60 () (tptp.cyclefreeP @t1)) % 116.00/116.20 (define @t61 () (tptp.equalelemsP @t1)) % 116.00/116.20 (define @t62 () (tptp.strictorderedP @t1)) % 116.00/116.20 (define @t63 () (tptp.totalorderedP @t1)) % 116.00/116.20 (define @t64 () (tptp.strictorderP @t1)) % 116.00/116.20 (define @t65 () (tptp.totalorderP @t1)) % 116.00/116.20 (define @t66 () (not (= @t59 tptp.nil))) % 116.00/116.20 (define @t67 () (or @t66 @t45 @t58)) % 116.00/116.20 (define @t68 () (forall @t40 @t67)) % 116.00/116.20 (define @t69 () (= @t39 @t1)) % 116.00/116.20 (define @t70 () (tptp.neq @t39 @t1)) % 116.00/116.20 (define @t71 () (not @t48)) % 116.00/116.20 (define @t72 () (tptp.leq @t1 @t39)) % 116.00/116.20 (define @t73 () (tptp.lt @t1 @t39)) % 116.00/116.20 (define @t74 () (not @t73)) % 116.00/116.20 (define @t75 () (tptp.lt @t39 @t1)) % 116.00/116.20 (define @t76 () (not (tptp.gt @t1 @t39))) % 116.00/116.20 (define @t77 () (tptp.gt @t39 @t1)) % 116.00/116.20 (define @t78 () (tptp.leq @t39 @t1)) % 116.00/116.20 (define @t79 () (not (tptp.geq @t1 @t39))) % 116.00/116.20 (define @t80 () (tptp.geq @t39 @t1)) % 116.00/116.20 (define @t81 () (not @t72)) % 116.00/116.20 (define @t82 () (tptp.cons @t2 @t4)) % 116.00/116.20 (define @t83 () (or @t46 (= @t82 @t1) @t50)) % 116.00/116.20 (define @t84 () (forall @t3 @t83)) % 116.00/116.20 (define @t85 () (= @t1 @t39)) % 116.00/116.20 (define @t86 () (not @t85)) % 116.00/116.20 (define @t87 () (tptp.cons @t39 @t1)) % 116.00/116.20 (define @t88 () (not (tptp.neq @t1 @t39))) % 116.00/116.20 (define @t89 () (tptp.app @t1 @t39)) % 116.00/116.20 (define @t90 () (= @t89 tptp.nil)) % 116.00/116.20 (define @t91 () (not @t90)) % 116.00/116.20 (define @t92 () (= tptp.nil @t39)) % 116.00/116.20 (define @t93 () (tptp.app @t47 @t39)) % 116.00/116.20 (define @t94 () (or @t45 @t58 (= @t93 @t59))) % 116.00/116.20 (define @t95 () (forall @t40 @t94)) % 116.00/116.20 (define @t96 () (tptp.hd @t39)) % 116.00/116.20 (define @t97 () (tptp.strictorderedP @t39)) % 116.00/116.20 (define @t98 () (tptp.strictorderedP @t59)) % 116.00/116.20 (define @t99 () (not @t98)) % 116.00/116.20 (define @t100 () (tptp.totalorderedP @t39)) % 116.00/116.20 (define @t101 () (tptp.totalorderedP @t59)) % 116.00/116.20 (define @t102 () (not @t101)) % 116.00/116.20 (define @t103 () (not (tptp.segmentP @t1 @t39))) % 116.00/116.20 (define @t104 () (not (tptp.rearsegP @t1 @t39))) % 116.00/116.20 (define @t105 () (not (tptp.frontsegP @t1 @t39))) % 116.00/116.20 (define @t106 () (not @t78)) % 116.00/116.20 (define @t107 () (tptp.tl @t39)) % 116.00/116.20 (define @t108 () (tptp.lt @t1 @t96)) % 116.00/116.20 (define @t109 () (tptp.leq @t1 @t96)) % 116.00/116.20 (define @t110 () (@var "W" $$unsorted)) % 116.00/116.20 (define @t111 () (tptp.app @t110 @t1)) % 116.00/116.20 (define @t112 () (not (tptp.ssList @t110))) % 116.00/116.20 (define @t113 () (@list @t1 @t39 @t110)) % 116.00/116.20 (define @t114 () (tptp.app @t1 @t110)) % 116.00/116.20 (define @t115 () (tptp.cons @t39 @t110)) % 116.00/116.20 (define @t116 () (tptp.cons @t110 @t1)) % 116.00/116.20 (define @t117 () (not (tptp.ssItem @t110))) % 116.00/116.20 (define @t118 () (not (tptp.memberP @t1 @t39))) % 116.00/116.20 (define @t119 () (tptp.rearsegP @t110 @t39)) % 116.00/116.20 (define @t120 () (not (= @t89 @t110))) % 116.00/116.20 (define @t121 () (or @t120 @t46 @t58 @t112 @t119)) % 116.00/116.20 (define @t122 () (forall @t113 @t121)) % 116.00/116.20 (define @t123 () (tptp.lt @t1 @t110)) % 116.00/116.20 (define @t124 () (not (tptp.lt @t39 @t110))) % 116.00/116.20 (define @t125 () (tptp.app @t110 @t39)) % 116.00/116.20 (define @t126 () (= @t39 @t110)) % 116.00/116.20 (define @t127 () (= @t1 @t110)) % 116.00/116.20 (define @t128 () (tptp.memberP @t39 @t110)) % 116.00/116.20 (define @t129 () (tptp.app (tptp.app @t41 @t39) (tptp.skaf48 @t39 @t1))) % 116.00/116.20 (define @t130 () (or @t103 @t58 @t46 (= @t129 @t1))) % 116.00/116.20 (define @t131 () (forall @t40 @t130)) % 116.00/116.20 (define @t132 () (tptp.app @t44 (tptp.cons @t39 (tptp.skaf43 @t39 @t1)))) % 116.00/116.20 (define @t133 () (or @t118 @t71 @t46 (= @t132 @t1))) % 116.00/116.20 (define @t134 () (forall @t40 @t133)) % 116.00/116.20 (define @t135 () (@var "X" $$unsorted)) % 116.00/116.20 (define @t136 () (not (tptp.ssList @t135))) % 116.00/116.20 (define @t137 () (tptp.cons @t110 @t135)) % 116.00/116.20 (define @t138 () (not (= @t59 @t137))) % 116.00/116.20 (define @t139 () (@list @t1 @t39 @t110 @t135)) % 116.00/116.20 (define @t140 () (not (tptp.frontsegP @t59 @t137))) % 116.00/116.20 (define @t141 () (tptp.memberP @t135 @t39)) % 116.00/116.20 (define @t142 () (tptp.app @t1 @t115)) % 116.00/116.20 (define @t143 () (not (= @t142 @t135))) % 116.00/116.20 (define @t144 () (or @t143 @t112 @t46 @t71 @t136 @t141)) % 116.00/116.20 (define @t145 () (forall @t139 @t144)) % 116.00/116.20 (define @t146 () (not (tptp.ssItem @t135))) % 116.00/116.20 (define @t147 () (@var "Y" $$unsorted)) % 116.00/116.20 (define @t148 () (not (tptp.ssList @t147))) % 116.00/116.20 (define @t149 () (@list @t1 @t39 @t110 @t135 @t147)) % 116.00/116.20 (define @t150 () (tptp.lt @t39 @t135)) % 116.00/116.20 (define @t151 () (@var "Z" $$unsorted)) % 116.00/116.20 (define @t152 () (not (tptp.ssList @t151))) % 116.00/116.20 (define @t153 () (not (= (tptp.app @t142 (tptp.cons @t135 @t147)) @t151))) % 116.00/116.20 (define @t154 () (@list @t1 @t39 @t110 @t135 @t147 @t151)) % 116.00/116.20 (define @t155 () (tptp.leq @t39 @t135)) % 116.00/116.20 (define @t156 () (tptp.ssList tptp.sk3)) % 116.00/116.20 (define @t157 () (tptp.ssList tptp.sk4)) % 116.00/116.20 (define @t158 () (tptp.segmentP tptp.sk4 tptp.sk3)) % 116.00/116.20 (define @t159 () (@var "A" $$unsorted)) % 116.00/116.20 (define @t160 () (tptp.ssItem tptp.sk5)) % 116.00/116.20 (define @t161 () (tptp.memberP tptp.sk1 tptp.sk5)) % 116.00/116.20 (define @t162 () (tptp.memberP tptp.sk2 tptp.sk5)) % 116.00/116.20 (define @t163 () (not @t162)) % 116.00/116.20 (define @t164 () (@list tptp.sk3 tptp.sk5)) % 116.00/116.20 (define @t165 () (tptp.skaf43 tptp.sk5 tptp.sk3)) % 116.00/116.20 (define @t166 () (tptp.cons tptp.sk5 @t165)) % 116.00/116.20 (define @t167 () (tptp.skaf42 tptp.sk3 tptp.sk5)) % 116.00/116.20 (define @t168 () (tptp.app @t167 @t166)) % 116.00/116.20 (define @t169 () (= tptp.sk3 @t168)) % 116.00/116.20 (define @t170 () (not @t156)) % 116.00/116.20 (define @t171 () (not @t160)) % 116.00/116.20 (define @t172 () (tptp.memberP tptp.sk3 tptp.sk5)) % 116.00/116.20 (define @t173 () (not @t172)) % 116.00/116.20 (define @t174 () (or @t173 @t171 @t170 @t169)) % 116.00/116.20 (define @t175 () (@list false false false false)) % 116.00/116.20 (define @t176 () (tptp.rearsegP @t89 @t39)) % 116.00/116.20 (define @t177 () (not (tptp.ssList @t89))) % 116.00/116.20 (define @t178 () (not (= @t89 @t89))) % 116.00/116.20 (define @t179 () (or @t178 @t46 @t58 @t177 @t176)) % 116.00/116.20 (define @t180 () (@list @t110)) % 116.00/116.20 (define @t181 () (or @t120 @t120 @t46 @t58 @t112 @t119)) % 116.00/116.20 (define @t182 () (forall @t180 @t121)) % 116.00/116.20 (define @t183 () (forall @t40 @t182)) % 116.00/116.20 (define @t184 () (tptp.ssList @t168)) % 116.00/116.20 (define @t185 () (@list tptp.sk5 @t165)) % 116.00/116.20 (define @t186 () (tptp.ssList @t166)) % 116.00/116.20 (define @t187 () (tptp.ssList @t165)) % 116.00/116.20 (define @t188 () (not @t187)) % 116.00/116.20 (define @t189 () (or @t171 @t188 @t186)) % 116.00/116.20 (define @t190 () (@list false false false)) % 116.00/116.20 (define @t191 () (tptp.rearsegP @t168 @t166)) % 116.00/116.20 (define @t192 () (not @t184)) % 116.00/116.20 (define @t193 () (not @t186)) % 116.00/116.20 (define @t194 () (tptp.ssList @t167)) % 116.00/116.20 (define @t195 () (not @t194)) % 116.00/116.20 (define @t196 () (or @t195 @t193 @t192 @t191)) % 116.00/116.20 (define @t197 () (= tptp.nil @t166)) % 116.00/116.20 (define @t198 () (not @t197)) % 116.00/116.20 (define @t199 () (or @t198 @t171 @t188)) % 116.00/116.20 (define @t200 () (tptp.rearsegP tptp.nil @t166)) % 116.00/116.20 (define @t201 () (not @t200)) % 116.00/116.20 (define @t202 () (or @t201 @t193 @t197)) % 116.00/116.20 (define @t203 () (@list tptp.sk3)) % 116.00/116.20 (define @t204 () (tptp.skaf82 tptp.sk3)) % 116.00/116.20 (define @t205 () (tptp.skaf83 tptp.sk3)) % 116.00/116.20 (define @t206 () (tptp.app (tptp.cons @t205 tptp.nil) @t204)) % 116.00/116.20 (define @t207 () (tptp.cons @t205 @t204)) % 116.00/116.20 (define @t208 () (= @t207 @t206)) % 116.00/116.20 (define @t209 () (tptp.ssList @t204)) % 116.00/116.20 (define @t210 () (not @t209)) % 116.00/116.20 (define @t211 () (tptp.ssItem @t205)) % 116.00/116.20 (define @t212 () (not @t211)) % 116.00/116.20 (define @t213 () (or @t212 @t210 @t208)) % 116.00/116.20 (define @t214 () (tptp.skaf47 tptp.sk4 tptp.sk3)) % 116.00/116.20 (define @t215 () (@list tptp.sk4 tptp.sk3)) % 116.00/116.20 (define @t216 () (tptp.app @t214 tptp.sk3)) % 116.00/116.20 (define @t217 () (tptp.ssList @t216)) % 116.00/116.20 (define @t218 () (tptp.ssList @t214)) % 116.00/116.20 (define @t219 () (not @t218)) % 116.00/116.20 (define @t220 () (or @t170 @t219 @t217)) % 116.00/116.20 (define @t221 () (= tptp.sk3 @t207)) % 116.00/116.20 (define @t222 () (tptp.app @t214 @t206)) % 116.00/116.20 (define @t223 () (tptp.app @t214 @t207)) % 116.00/116.20 (define @t224 () (tptp.ssList @t223)) % 116.00/116.20 (define @t225 () (and @t221 @t217 @t208)) % 116.00/116.20 (define @t226 () (not @t208)) % 116.00/116.20 (define @t227 () (not @t221)) % 116.00/116.20 (define @t228 () (tptp.app @t214 @t168)) % 116.00/116.20 (define @t229 () (tptp.app @t214 @t167)) % 116.00/116.20 (define @t230 () (tptp.app @t229 @t166)) % 116.00/116.20 (define @t231 () (= @t230 @t228)) % 116.00/116.20 (define @t232 () (or @t193 @t195 @t219 @t231)) % 116.00/116.20 (define @t233 () (tptp.memberP @t142 @t39)) % 116.00/116.20 (define @t234 () (not (tptp.ssList @t142))) % 116.00/116.20 (define @t235 () (not (= @t142 @t142))) % 116.00/116.20 (define @t236 () (or @t235 @t112 @t46 @t71 @t234 @t233)) % 116.00/116.20 (define @t237 () (not (= @t135 @t142))) % 116.00/116.20 (define @t238 () (or @t237 @t237 @t112 @t46 @t71 @t136 @t141)) % 116.00/116.20 (define @t239 () (@list @t135)) % 116.00/116.20 (define @t240 () (or @t237 @t112 @t46 @t71 @t136 @t141)) % 116.00/116.20 (define @t241 () (forall @t239 @t240)) % 116.00/116.20 (define @t242 () (forall @t113 @t241)) % 116.00/116.20 (define @t243 () (tptp.ssList @t230)) % 116.00/116.20 (define @t244 () (tptp.ssList @t229)) % 116.00/116.20 (define @t245 () (or @t195 @t219 @t244)) % 116.00/116.20 (define @t246 () (tptp.memberP @t230 tptp.sk5)) % 116.00/116.20 (define @t247 () (not @t243)) % 116.00/116.20 (define @t248 () (not @t244)) % 116.00/116.20 (define @t249 () (or @t188 @t248 @t171 @t247 @t246)) % 116.00/116.20 (define @t250 () (tptp.memberP @t223 tptp.sk5)) % 116.00/116.20 (define @t251 () (and @t221 @t169 @t208 @t231 @t246)) % 116.00/116.20 (define @t252 () (tptp.skaf48 tptp.sk3 tptp.sk4)) % 116.00/116.20 (define @t253 () (= tptp.sk4 (tptp.app @t216 @t252))) % 116.00/116.20 (define @t254 () (not @t157)) % 116.00/116.20 (define @t255 () (not @t158)) % 116.00/116.20 (define @t256 () (or @t255 @t170 @t254 @t253)) % 116.00/116.20 (define @t257 () (tptp.app @t223 @t252)) % 116.00/116.20 (define @t258 () (tptp.memberP @t257 tptp.sk5)) % 116.00/116.20 (define @t259 () (not @t258)) % 116.00/116.20 (define @t260 () (not @t231)) % 116.00/116.20 (define @t261 () (not @t169)) % 116.00/116.20 (define @t262 () (not @t253)) % 116.00/116.20 (define @t263 () (tptp.memberP tptp.sk4 tptp.sk5)) % 116.00/116.20 (define @t264 () (not @t263)) % 116.00/116.20 (define @t265 () (and @t264 @t221 @t253 @t169 @t208 @t231)) % 116.00/116.20 (define @t266 () (not @t224)) % 116.00/116.20 (define @t267 () (tptp.ssList @t252)) % 116.00/116.20 (define @t268 () (not @t267)) % 116.00/116.20 (define @t269 () (not @t250)) % 116.00/116.20 (define @t270 () (or @t269 @t268 @t266 @t171 @t258)) % 116.00/116.20 (define @t271 () (= tptp.nil tptp.sk3)) % 116.00/116.20 (define @t272 () (or @t170 @t221 @t271)) % 116.00/116.20 (define @t273 () (not @t191)) % 116.00/116.20 (define @t274 () (not @t271)) % 116.00/116.20 (define @t275 () (and @t201 @t271 @t169 @t191)) % 116.00/116.20 (assume @p1 (tptp.equalelemsP tptp.nil)) % 116.00/116.20 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 116.00/116.20 (assume @p3 (tptp.strictorderedP tptp.nil)) % 116.00/116.20 (assume @p4 (tptp.totalorderedP tptp.nil)) % 116.00/116.20 (assume @p5 (tptp.strictorderP tptp.nil)) % 116.00/116.20 (assume @p6 (tptp.totalorderP tptp.nil)) % 116.00/116.20 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 116.00/116.20 (assume @p8 (tptp.ssList tptp.nil)) % 116.00/116.20 (assume @p9 (tptp.ssItem tptp.skac3)) % 116.00/116.20 (assume @p10 (tptp.ssItem tptp.skac2)) % 116.00/116.20 (assume @p11 (not (tptp.singletonP tptp.nil))) % 116.00/116.20 (assume @p12 (forall @t3 (tptp.ssItem @t2))) % 116.00/116.20 (assume @p13 (forall @t3 (tptp.ssList @t4))) % 116.00/116.20 (assume @p14 (forall @t3 (tptp.ssList @t5))) % 116.00/116.20 (assume @p15 (forall @t3 (tptp.ssList @t6))) % 116.00/116.20 (assume @p16 (forall @t3 (tptp.ssItem @t7))) % 116.00/116.20 (assume @p17 (forall @t3 (tptp.ssItem @t8))) % 116.00/116.20 (assume @p18 (forall @t3 (tptp.ssList @t9))) % 116.00/116.20 (assume @p19 (forall @t3 (tptp.ssList @t10))) % 116.00/116.20 (assume @p20 (forall @t3 (tptp.ssList @t11))) % 116.00/116.20 (assume @p21 (forall @t3 (tptp.ssItem @t12))) % 116.00/116.20 (assume @p22 (forall @t3 (tptp.ssList @t13))) % 116.00/116.20 (assume @p23 (forall @t3 (tptp.ssList @t14))) % 116.00/116.20 (assume @p24 (forall @t3 (tptp.ssList @t15))) % 116.00/116.20 (assume @p25 (forall @t3 (tptp.ssItem @t16))) % 116.00/116.20 (assume @p26 (forall @t3 (tptp.ssItem @t17))) % 116.00/116.20 (assume @p27 (forall @t3 (tptp.ssList @t18))) % 116.00/116.20 (assume @p28 (forall @t3 (tptp.ssList @t19))) % 116.00/116.20 (assume @p29 (forall @t3 (tptp.ssList @t20))) % 116.00/116.20 (assume @p30 (forall @t3 (tptp.ssItem @t21))) % 116.00/116.20 (assume @p31 (forall @t3 (tptp.ssItem @t22))) % 116.00/116.20 (assume @p32 (forall @t3 (tptp.ssList @t23))) % 116.00/116.20 (assume @p33 (forall @t3 (tptp.ssList @t24))) % 116.00/116.20 (assume @p34 (forall @t3 (tptp.ssList @t25))) % 116.00/116.20 (assume @p35 (forall @t3 (tptp.ssItem @t26))) % 116.00/116.20 (assume @p36 (forall @t3 (tptp.ssItem @t27))) % 116.00/116.20 (assume @p37 (forall @t3 (tptp.ssList @t28))) % 116.00/116.20 (assume @p38 (forall @t3 (tptp.ssList @t29))) % 116.00/116.20 (assume @p39 (forall @t3 (tptp.ssList @t30))) % 116.00/116.20 (assume @p40 (forall @t3 (tptp.ssItem @t31))) % 116.00/116.20 (assume @p41 (forall @t3 (tptp.ssItem @t32))) % 116.00/116.20 (assume @p42 (forall @t3 (tptp.ssList @t33))) % 116.00/116.20 (assume @p43 (forall @t3 (tptp.ssList @t34))) % 116.00/116.20 (assume @p44 (forall @t3 (tptp.ssList @t35))) % 116.00/116.20 (assume @p45 (forall @t3 (tptp.ssItem @t36))) % 116.00/116.20 (assume @p46 (forall @t3 (tptp.ssItem @t37))) % 116.00/116.20 (assume @p47 (forall @t3 (tptp.ssItem @t38))) % 116.00/116.20 (assume @p48 (forall @t40 (tptp.ssList (tptp.skaf48 @t1 @t39)))) % 116.00/116.20 (assume @p49 (forall @t40 (tptp.ssList @t41))) % 116.00/116.20 (assume @p50 (forall @t40 (tptp.ssList @t42))) % 116.00/116.20 (assume @p51 (forall @t40 (tptp.ssList @t43))) % 116.00/116.20 (assume @p52 (forall @t40 (tptp.ssList (tptp.skaf43 @t1 @t39)))) % 116.00/116.20 (assume @p53 (forall @t40 (tptp.ssList @t44))) % 116.00/116.20 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 116.00/116.20 (assume @p55 (forall @t3 (or @t45 (tptp.geq @t1 @t1)))) % 116.00/116.20 (assume @p56 (forall @t3 (or @t46 (tptp.segmentP @t1 tptp.nil)))) % 116.00/116.20 (assume @p57 (forall @t3 (or @t46 (tptp.segmentP @t1 @t1)))) % 116.00/116.20 (assume @p58 (forall @t3 (or @t46 (tptp.rearsegP @t1 tptp.nil)))) % 116.00/116.20 (assume @p59 (forall @t3 (or @t46 (tptp.rearsegP @t1 @t1)))) % 116.00/116.20 (assume @p60 (forall @t3 (or @t46 (tptp.frontsegP @t1 tptp.nil)))) % 116.00/116.20 (assume @p61 (forall @t3 (or @t46 (tptp.frontsegP @t1 @t1)))) % 116.00/116.20 (assume @p62 (forall @t3 (or @t45 (tptp.leq @t1 @t1)))) % 116.00/116.20 (assume @p63 (forall @t3 (or (not (tptp.lt @t1 @t1)) @t45))) % 116.00/116.20 (assume @p64 (forall @t3 (or @t45 (tptp.equalelemsP @t47)))) % 116.00/116.20 (assume @p65 (forall @t3 (or @t45 (tptp.duplicatefreeP @t47)))) % 116.00/116.20 (assume @p66 (forall @t3 (or @t45 (tptp.strictorderedP @t47)))) % 116.00/116.20 (assume @p67 (forall @t3 (or @t45 (tptp.totalorderedP @t47)))) % 116.00/116.20 (assume @p68 (forall @t3 (or @t45 (tptp.strictorderP @t47)))) % 116.00/116.20 (assume @p69 (forall @t3 (or @t45 (tptp.totalorderP @t47)))) % 116.00/116.20 (assume @p70 (forall @t3 (or @t45 (tptp.cyclefreeP @t47)))) % 116.00/116.20 (assume @p71 (forall @t3 (or (not (tptp.memberP tptp.nil @t1)) @t45))) % 116.00/116.20 (assume @p72 (forall @t40 (or @t46 @t49 @t48))) % 116.00/116.20 (assume @p73 (forall @t3 (or @t46 (= (tptp.app @t1 tptp.nil) @t1)))) % 116.00/116.20 (assume @p74 (forall @t3 (or @t46 (= (tptp.app tptp.nil @t1) @t1)))) % 116.00/116.20 (assume @p75 (forall @t3 (or @t46 (tptp.ssList @t51) @t50))) % 116.00/116.20 (assume @p76 (forall @t3 (or @t46 (tptp.ssItem @t52) @t50))) % 116.00/116.20 (assume @p77 (forall @t3 (or @t54 @t46 @t53))) % 116.00/116.20 (assume @p78 (forall @t3 (or (not @t53) @t46 @t50))) % 116.00/116.20 (assume @p79 (forall @t3 (or @t54 @t46 @t55))) % 116.00/116.20 (assume @p80 (forall @t3 (or (not @t55) @t46 @t50))) % 116.00/116.20 (assume @p81 (forall @t3 (or @t54 @t46 @t56))) % 116.00/116.20 (assume @p82 (forall @t3 (or (not @t56) @t46 @t50))) % 116.00/116.20 (assume @p83 (forall @t40 (or @t46 @t58 (tptp.ssList @t57)))) % 116.00/116.20 (assume @p84 (forall @t40 (or @t45 @t58 (tptp.ssList @t59)))) % 116.00/116.20 (assume @p85 (forall @t3 (or @t46 @t60 (tptp.leq @t36 @t37)))) % 116.00/116.20 (assume @p86 (forall @t3 (or @t46 @t60 (tptp.leq @t37 @t36)))) % 116.00/116.20 (assume @p87 (forall @t3 (or (not (= @t7 @t8)) @t46 @t61))) % 116.00/116.20 (assume @p88 (forall @t3 (or (not (tptp.lt @t17 @t16)) @t46 @t62))) % 116.00/116.20 (assume @p89 (forall @t3 (or (not (tptp.leq @t22 @t21)) @t46 @t63))) % 116.00/116.20 (assume @p90 (forall @t3 (or (not (tptp.lt @t26 @t27)) @t46 @t64))) % 116.00/116.20 (assume @p91 (forall @t3 (or (not (tptp.lt @t27 @t26)) @t46 @t64))) % 116.00/116.20 (assume @p92 (forall @t3 (or (not (tptp.leq @t31 @t32)) @t46 @t65))) % 116.00/116.20 (assume @p93 (forall @t3 (or (not (tptp.leq @t32 @t31)) @t46 @t65))) % 116.00/116.20 (assume @p94 (forall @t40 (or @t45 @t58 (= (tptp.tl @t59) @t39)))) % 116.00/116.20 (assume @p95 (forall @t40 (or @t45 @t58 (= (tptp.hd @t59) @t1)))) % 116.00/116.20 (assume @p96 @t68) % 116.00/116.20 (assume @p97 (forall @t40 (or (not (= @t59 @t39)) @t45 @t58))) % 116.00/116.20 (assume @p98 (forall @t40 (or @t46 @t58 @t70 @t69))) % 116.00/116.20 (assume @p99 (forall @t3 (or (not (tptp.singletonP @t1)) @t46 (= (tptp.cons @t38 tptp.nil) @t1)))) % 116.00/116.20 (assume @p100 (forall @t40 (or @t45 @t71 @t70 @t69))) % 116.00/116.20 (assume @p101 (forall @t40 (or @t74 @t71 @t45 @t72))) % 116.00/116.20 (assume @p102 (forall @t3 (or @t46 (= (tptp.cons @t52 @t51) @t1) @t50))) % 116.00/116.20 (assume @p103 (forall @t40 (or @t76 @t71 @t45 @t75))) % 116.00/116.20 (assume @p104 (forall @t40 (or @t74 @t45 @t71 @t77))) % 116.00/116.20 (assume @p105 (forall @t40 (or @t79 @t71 @t45 @t78))) % 116.00/116.20 (assume @p106 (forall @t40 (or @t81 @t45 @t71 @t80))) % 116.00/116.20 (assume @p107 @t84) % 116.00/116.20 (assume @p108 (forall @t40 (or @t76 (not @t77) @t45 @t71))) % 116.00/116.20 (assume @p109 (forall @t40 (or @t86 @t74 @t71 @t45))) % 116.00/116.20 (assume @p110 (forall @t40 (or @t54 @t46 @t71 (tptp.strictorderedP @t87)))) % 116.00/116.20 (assume @p111 (forall @t40 (or @t54 @t46 @t71 (tptp.totalorderedP @t87)))) % 116.00/116.20 (assume @p112 (forall @t40 (or @t74 (not @t75) @t45 @t71))) % 116.00/116.20 (assume @p113 (forall @t40 (or @t86 @t88 @t58 @t46))) % 116.00/116.20 (assume @p114 (forall @t40 (or (not (= @t47 @t39)) @t45 @t58 (tptp.singletonP @t39)))) % 116.00/116.20 (assume @p115 (forall @t40 (or @t86 @t88 @t71 @t45))) % 116.00/116.20 (assume @p116 (forall @t40 (or @t91 @t58 @t46 @t50))) % 116.00/116.20 (assume @p117 (forall @t40 (or @t91 @t58 @t46 @t92))) % 116.00/116.20 (assume @p118 @t95) % 116.00/116.20 (assume @p119 (forall @t40 (or @t81 @t71 @t45 @t73 @t85))) % 116.00/116.20 (assume @p120 (forall @t40 (or @t46 @t58 @t92 (= (tptp.hd @t57) @t96)))) % 116.00/116.20 (assume @p121 (forall @t40 (or @t99 @t58 @t45 @t97 @t92))) % 116.00/116.20 (assume @p122 (forall @t40 (or @t102 @t58 @t45 @t100 @t92))) % 116.00/116.20 (assume @p123 (forall @t40 (or @t79 (not @t80) @t45 @t71 @t69))) % 116.00/116.20 (assume @p124 (forall @t40 (or @t103 (not (tptp.segmentP @t39 @t1)) @t46 @t58 @t69))) % 116.00/116.20 (assume @p125 (forall @t40 (or @t104 (not (tptp.rearsegP @t39 @t1)) @t46 @t58 @t69))) % 116.00/116.20 (assume @p126 (forall @t40 (or @t105 (not (tptp.frontsegP @t39 @t1)) @t46 @t58 @t69))) % 116.00/116.20 (assume @p127 (forall @t40 (or @t81 @t106 @t45 @t71 @t69))) % 116.00/116.20 (assume @p128 (forall @t40 (or @t104 @t58 @t46 (= (tptp.app @t42 @t39) @t1)))) % 116.00/116.20 (assume @p129 (forall @t40 (or @t105 @t58 @t46 (= (tptp.app @t39 @t43) @t1)))) % 116.00/116.20 (assume @p130 (forall @t40 (or @t46 @t58 @t92 (= (tptp.tl @t57) (tptp.app @t107 @t1))))) % 116.00/116.20 (assume @p131 (forall @t40 (or @t99 @t58 @t45 @t108 @t92))) % 116.00/116.20 (assume @p132 (forall @t40 (or @t102 @t58 @t45 @t109 @t92))) % 116.00/116.20 (assume @p133 (forall @t113 (or @t104 @t112 @t58 @t46 (tptp.rearsegP @t111 @t39)))) % 116.00/116.20 (assume @p134 (forall @t113 (or @t105 @t112 @t58 @t46 (tptp.frontsegP @t114 @t39)))) % 116.00/116.20 (assume @p135 (forall @t113 (or @t86 @t112 @t71 @t45 (tptp.memberP @t115 @t1)))) % 116.00/116.20 (assume @p136 (forall @t113 (or @t118 @t46 @t117 @t71 (tptp.memberP @t116 @t39)))) % 116.00/116.20 (assume @p137 (forall @t113 (or @t118 @t112 @t46 @t71 (tptp.memberP @t114 @t39)))) % 116.00/116.20 (assume @p138 (forall @t113 (or @t118 @t46 @t112 @t71 (tptp.memberP @t111 @t39)))) % 116.00/116.20 (assume @p139 (forall @t3 (or @t46 @t61 (= (tptp.app @t6 (tptp.cons @t8 (tptp.cons @t7 @t5))) @t1)))) % 116.00/116.20 (assume @p140 @t122) % 116.00/116.20 (assume @p141 (forall @t113 (or @t120 @t58 @t46 @t112 (tptp.frontsegP @t110 @t1)))) % 116.00/116.20 (assume @p142 (forall @t40 (or @t54 (not @t92) @t58 @t46 @t90))) % 116.00/116.20 (assume @p143 (forall @t113 (or @t76 (not (tptp.gt @t39 @t110)) @t117 @t71 @t45 (tptp.gt @t1 @t110)))) % 116.00/116.20 (assume @p144 (forall @t113 (or @t81 @t124 @t117 @t71 @t45 @t123))) % 116.00/116.20 (assume @p145 (forall @t113 (or @t79 (not (tptp.geq @t39 @t110)) @t117 @t71 @t45 (tptp.geq @t1 @t110)))) % 116.00/116.20 (assume @p146 (forall @t113 (or @t46 @t58 @t112 (= (tptp.app @t125 @t1) (tptp.app @t110 @t57))))) % 116.00/116.20 (assume @p147 (forall @t113 (or (not (= @t89 @t114)) @t58 @t46 @t112 @t126))) % 116.00/116.20 (assume @p148 (forall @t113 (or (not (= @t89 @t125)) @t46 @t58 @t112 @t127))) % 116.00/116.20 (assume @p149 (forall @t113 (or @t103 (not (tptp.segmentP @t39 @t110)) @t112 @t58 @t46 (tptp.segmentP @t1 @t110)))) % 116.00/116.20 (assume @p150 (forall @t113 (or @t104 (not (tptp.rearsegP @t39 @t110)) @t112 @t58 @t46 (tptp.rearsegP @t1 @t110)))) % 116.00/116.20 (assume @p151 (forall @t113 (or @t105 (not (tptp.frontsegP @t39 @t110)) @t112 @t58 @t46 (tptp.frontsegP @t1 @t110)))) % 116.00/116.20 (assume @p152 (forall @t113 (or @t74 @t124 @t117 @t71 @t45 @t123))) % 116.00/116.20 (assume @p153 (forall @t113 (or @t81 (not (tptp.leq @t39 @t110)) @t117 @t71 @t45 (tptp.leq @t1 @t110)))) % 116.00/116.20 (assume @p154 (forall @t113 (or @t45 @t58 @t112 (= (tptp.cons @t1 (tptp.app @t39 @t110)) (tptp.app @t59 @t110))))) % 116.00/116.20 (assume @p155 (forall @t113 (or (not (tptp.memberP @t89 @t110)) @t58 @t46 @t117 @t128 (tptp.memberP @t1 @t110)))) % 116.00/116.20 (assume @p156 (forall @t40 (or (not @t109) (not @t100) @t58 @t45 @t101 @t92))) % 116.00/116.20 (assume @p157 (forall @t40 (or (not @t108) (not @t97) @t58 @t45 @t98 @t92))) % 116.00/116.20 (assume @p158 (forall @t113 (or (not (tptp.memberP @t59 @t110)) @t58 @t45 @t117 @t128 (= @t110 @t1)))) % 116.00/116.20 (assume @p159 (forall @t3 (or @t46 @t49 (= (tptp.app (tptp.app @t11 (tptp.cons @t12 @t10)) (tptp.cons @t12 @t9)) @t1)))) % 116.00/116.20 (assume @p160 (forall @t3 (or @t46 @t62 (= (tptp.app (tptp.app @t15 (tptp.cons @t17 @t14)) (tptp.cons @t16 @t13)) @t1)))) % 116.00/116.20 (assume @p161 (forall @t3 (or @t46 @t63 (= (tptp.app (tptp.app @t20 (tptp.cons @t22 @t19)) (tptp.cons @t21 @t18)) @t1)))) % 116.00/116.20 (assume @p162 (forall @t3 (or @t46 @t64 (= (tptp.app (tptp.app @t25 (tptp.cons @t27 @t24)) (tptp.cons @t26 @t23)) @t1)))) % 116.00/116.20 (assume @p163 (forall @t3 (or @t46 @t65 (= (tptp.app (tptp.app @t30 (tptp.cons @t32 @t29)) (tptp.cons @t31 @t28)) @t1)))) % 116.00/116.20 (assume @p164 (forall @t3 (or @t46 @t60 (= (tptp.app (tptp.app @t35 (tptp.cons @t37 @t34)) (tptp.cons @t36 @t33)) @t1)))) % 116.00/116.20 (assume @p165 @t131) % 116.00/116.20 (assume @p166 @t134) % 116.00/116.20 (assume @p167 (forall @t139 (or @t138 @t117 @t45 @t136 @t58 @t127))) % 116.00/116.20 (assume @p168 (forall @t139 (or @t138 @t117 @t45 @t136 @t58 (= @t135 @t39)))) % 116.00/116.20 (assume @p169 (forall @t139 (or @t103 @t112 @t136 @t58 @t46 (tptp.segmentP (tptp.app (tptp.app @t135 @t1) @t110) @t39)))) % 116.00/116.20 (assume @p170 (forall @t139 (or (not (= (tptp.app @t89 @t110) @t135)) @t112 @t46 @t58 @t136 (tptp.segmentP @t135 @t39)))) % 116.00/116.20 (assume @p171 (forall @t139 (or @t140 @t136 @t58 @t117 @t45 (tptp.frontsegP @t39 @t135)))) % 116.00/116.20 (assume @p172 @t145) % 116.00/116.20 (assume @p173 (forall @t139 (or @t140 @t136 @t58 @t117 @t45 @t127))) % 116.00/116.20 (assume @p174 (forall @t40 (or (not (= @t51 @t107)) (not (= @t52 @t96)) @t46 @t58 @t92 @t85 @t50))) % 116.00/116.20 (assume @p175 (forall @t139 (or @t105 (not (= @t110 @t135)) @t58 @t46 @t146 @t117 (tptp.frontsegP @t116 (tptp.cons @t135 @t39))))) % 116.00/116.20 (assume @p176 (forall @t149 (or (not (= (tptp.app @t142 (tptp.cons @t39 @t135)) @t147)) @t136 @t112 @t46 @t71 (not (tptp.duplicatefreeP @t147)) @t148))) % 116.00/116.20 (assume @p177 (forall @t149 (or (not (= (tptp.app @t1 (tptp.cons @t39 @t137)) @t147)) @t136 @t46 @t117 @t71 (not (tptp.equalelemsP @t147)) @t148 @t126))) % 116.00/116.20 (assume @p178 (forall @t154 (or @t153 @t148 @t112 @t46 @t146 @t71 (not (tptp.strictorderedP @t151)) @t152 @t150))) % 116.00/116.20 (assume @p179 (forall @t154 (or @t153 @t148 @t112 @t46 @t146 @t71 (not (tptp.totalorderedP @t151)) @t152 @t155))) % 116.00/116.20 (assume @p180 (forall @t154 (or @t153 @t148 @t112 @t46 @t146 @t71 (not (tptp.strictorderP @t151)) @t152 @t150 (tptp.lt @t135 @t39)))) % 116.00/116.20 (assume @p181 (forall @t154 (or @t153 @t148 @t112 @t46 @t146 @t71 (not (tptp.totalorderP @t151)) @t152 @t155 (tptp.leq @t135 @t39)))) % 116.00/116.20 (assume @p182 (forall @t154 (or @t81 @t106 (not (= (tptp.app (tptp.app @t110 (tptp.cons @t1 @t135)) (tptp.cons @t39 @t147)) @t151)) @t148 @t136 @t112 @t71 @t45 (not (tptp.cyclefreeP @t151)) @t152))) % 116.00/116.20 (assume @p183 (tptp.ssList tptp.sk1)) % 116.00/116.20 (assume @p184 (tptp.ssList tptp.sk2)) % 116.00/116.20 (assume @p185 @t156) % 116.00/116.20 (assume @p186 @t157) % 116.00/116.20 (assume @p187 (= tptp.sk2 tptp.sk4)) % 116.00/116.20 (assume @p188 (= tptp.sk1 tptp.sk3)) % 116.00/116.20 (assume @p189 @t158) % 116.00/116.20 (assume @p190 (tptp.strictorderedP tptp.sk3)) % 116.00/116.20 (assume @p191 (forall (@list @t159) (or (not (tptp.ssList @t159)) (not (tptp.neq tptp.sk3 @t159)) (not (tptp.segmentP tptp.sk4 @t159)) (not (tptp.segmentP @t159 tptp.sk3)) (not (tptp.strictorderedP @t159))))) % 116.00/116.20 (assume @p192 @t160) % 116.00/116.20 (assume @p193 @t161) % 116.00/116.20 (assume @p194 @t163) % 116.00/116.20 (step @p195 :rule eq-symm :args (@t132 @t1)) % 116.00/116.20 (step @p196 :rule refl :args (@t46)) % 116.00/116.20 (step @p197 :rule refl :args (@t71)) % 116.00/116.20 (step @p198 :rule refl :args (@t118)) % 116.00/116.20 (step @p199 :rule nary_cong :premises (@p198 @p197 @p196 @p195) :args (@t133)) % 116.00/116.20 (step @p200 :rule cong :premises (@p199) :args (@t134)) % 116.00/116.20 (step @p201 :rule eq_resolve :premises (@p166 @p200)) % 116.00/116.20 (step @p202 :rule instantiate :premises (@p201) :args (@t164)) % 116.00/116.20 (step @p203 :rule refl :args (tptp.sk5)) % 116.00/116.20 (step @p204 :rule cong :premises (@p188 @p203) :args (@t161)) % 116.00/116.20 (step @p205 :rule eq_resolve :premises (@p193 @p204)) % 116.00/116.20 (step @p206 :rule cnf_or_pos :args (@t174)) % 116.00/116.20 (step @p207 :rule reordering :premises (@p206) :args ((or @t170 @t171 @t173 @t169 (not @t174)))) % 116.00/116.20 (step @p208 :rule chain_m_resolution :premises (@p207 @p185 @p192 @p205 @p202) :args (@t169 @t175 (@list @t156 @t160 @t172 @t174))) % 116.00/116.20 (step @p209 :rule aci_norm :args ((= (or false @t46 @t58 @t177 @t176) (or @t46 @t58 @t177 @t176)))) % 116.00/116.20 (step @p210 :rule refl :args (@t176)) % 116.00/116.20 (step @p211 :rule refl :args (@t177)) % 116.00/116.20 (step @p212 :rule refl :args (@t58)) % 116.00/116.20 (step @p213 :rule evaluate :args ((not true))) % 116.00/116.20 (step @p214 :rule eq-refl :args (@t89)) % 116.00/116.20 (step @p215 :rule cong :premises (@p214) :args (@t178)) % 116.00/116.20 (step @p216 :rule trans :premises (@p215 @p213)) % 116.00/116.20 (step @p217 :rule nary_cong :premises (@p216 @p196 @p212 @p211 @p210) :args (@t179)) % 116.00/116.20 (step @p218 :rule trans :premises (@p217 @p209)) % 116.00/116.20 (step @p219 :rule cong :premises (@p218) :args ((forall @t40 @t179))) % 116.00/116.20 (step @p220 :rule quant-var-elim-eq :args ((= (forall @t180 (or (not (= @t110 @t89)) @t120 @t46 @t58 @t112 @t119)) @t179))) % 116.00/116.20 (step @p221 :rule refl :args (@t119)) % 116.00/116.20 (step @p222 :rule refl :args (@t112)) % 116.00/116.20 (step @p223 :rule refl :args (@t58)) % 116.00/116.20 (step @p224 :rule refl :args (@t46)) % 116.00/116.20 (step @p225 :rule refl :args (@t120)) % 116.00/116.20 (step @p226 :rule eq-symm :args (@t89 @t110)) % 116.00/116.20 (step @p227 :rule cong :premises (@p226) :args (@t120)) % 116.00/116.20 (step @p228 :rule nary_cong :premises (@p227 @p225 @p224 @p223 @p222 @p221) :args (@t181)) % 116.00/116.20 (step @p229 :rule aci_norm :args ((= @t121 @t181))) % 116.00/116.20 (step @p230 :rule trans :premises (@p229 @p228)) % 116.00/116.20 (step @p231 :rule cong :premises (@p230) :args (@t182)) % 116.00/116.20 (step @p232 :rule trans :premises (@p231 @p220)) % 116.00/116.20 (step @p233 :rule cong :premises (@p232) :args (@t183)) % 116.00/116.20 (step @p234 :rule quant-merge-prenex :args ((= @t183 @t122))) % 116.00/116.20 (step @p235 :rule symm :premises (@p234)) % 116.00/116.20 (step @p236 :rule trans :premises (@p235 @p233)) % 116.00/116.20 (step @p237 :rule trans :premises (@p236 @p219)) % 116.00/116.20 (step @p238 :rule eq_resolve :premises (@p140 @p237)) % 116.00/116.20 (step @p239 :rule instantiate :premises (@p238) :args ((@list @t167 @t166))) % 116.00/116.20 (step @p240 :rule true_intro :premises (@p185)) % 116.00/116.20 (step @p241 :rule symm :premises (@p208)) % 116.00/116.20 (step @p242 :rule cong :premises (@p241) :args (@t184)) % 116.00/116.20 (step @p243 :rule trans :premises (@p242 @p240)) % 116.00/116.20 (step @p244 :rule true_elim :premises (@p243)) % 116.00/116.20 (step @p245 :rule instantiate :premises (@p53) :args (@t164)) % 116.00/116.20 (step @p246 :rule instantiate :premises (@p84) :args (@t185)) % 116.00/116.20 (step @p247 :rule instantiate :premises (@p52) :args ((@list tptp.sk5 tptp.sk3))) % 116.00/116.20 (step @p248 :rule cnf_or_pos :args (@t189)) % 116.00/116.20 (step @p249 :rule reordering :premises (@p248) :args ((or @t171 @t188 @t186 (not @t189)))) % 116.00/116.20 (step @p250 :rule chain_m_resolution :premises (@p249 @p192 @p247 @p246) :args (@t186 @t190 (@list @t160 @t187 @t189))) % 116.00/116.20 (step @p251 :rule cnf_or_pos :args (@t196)) % 116.00/116.20 (step @p252 :rule reordering :premises (@p251) :args ((or @t193 @t195 @t192 @t191 (not @t196)))) % 116.00/116.20 (step @p253 :rule chain_m_resolution :premises (@p252 @p250 @p245 @p244 @p239) :args (@t191 @t175 (@list @t186 @t194 @t184 @t196))) % 116.00/116.20 (step @p254 :rule instantiate :premises (@p80) :args ((@list @t166))) % 116.00/116.20 (step @p255 :rule refl :args (@t45)) % 116.00/116.20 (step @p256 :rule eq-symm :args (@t59 tptp.nil)) % 116.00/116.20 (step @p257 :rule cong :premises (@p256) :args (@t66)) % 116.00/116.20 (step @p258 :rule nary_cong :premises (@p257 @p255 @p212) :args (@t67)) % 116.00/116.20 (step @p259 :rule cong :premises (@p258) :args (@t68)) % 116.00/116.20 (step @p260 :rule eq_resolve :premises (@p96 @p259)) % 116.00/116.20 (step @p261 :rule instantiate :premises (@p260) :args (@t185)) % 116.00/116.20 (step @p262 :rule cnf_or_pos :args (@t199)) % 116.00/116.20 (step @p263 :rule reordering :premises (@p262) :args ((or @t171 @t188 @t198 (not @t199)))) % 116.00/116.20 (step @p264 :rule chain_m_resolution :premises (@p263 @p192 @p247 @p261) :args (@t198 @t190 (@list @t160 @t187 @t199))) % 116.00/116.20 (step @p265 :rule cnf_or_pos :args (@t202)) % 116.00/116.20 (step @p266 :rule reordering :premises (@p265) :args ((or @t197 @t193 @t201 (not @t202)))) % 116.00/116.20 (step @p267 :rule chain_m_resolution :premises (@p266 @p264 @p250 @p254) :args (@t201 (@list true false false) (@list @t197 @t186 @t202))) % 116.00/116.20 (step @p268 :rule refl :args (@t50)) % 116.00/116.20 (step @p269 :rule eq-symm :args (@t82 @t1)) % 116.00/116.20 (step @p270 :rule nary_cong :premises (@p196 @p269 @p268) :args (@t83)) % 116.00/116.20 (step @p271 :rule cong :premises (@p270) :args (@t84)) % 116.00/116.20 (step @p272 :rule eq_resolve :premises (@p107 @p271)) % 116.00/116.20 (step @p273 :rule instantiate :premises (@p272) :args (@t203)) % 116.00/116.20 (step @p274 :rule eq-symm :args (@t93 @t59)) % 116.00/116.20 (step @p275 :rule nary_cong :premises (@p255 @p212 @p274) :args (@t94)) % 116.00/116.20 (step @p276 :rule cong :premises (@p275) :args (@t95)) % 116.00/116.20 (step @p277 :rule eq_resolve :premises (@p118 @p276)) % 116.00/116.20 (step @p278 :rule instantiate :premises (@p277) :args ((@list @t205 @t204))) % 116.00/116.20 (step @p279 :rule instantiate :premises (@p13) :args (@t203)) % 116.00/116.20 (step @p280 :rule instantiate :premises (@p12) :args (@t203)) % 116.00/116.20 (step @p281 :rule cnf_or_pos :args (@t213)) % 116.00/116.20 (step @p282 :rule reordering :premises (@p281) :args ((or @t212 @t210 @t208 (not @t213)))) % 116.00/116.20 (step @p283 :rule chain_m_resolution :premises (@p282 @p280 @p279 @p278) :args (@t208 @t190 (@list @t211 @t209 @t213))) % 116.00/116.20 (step @p284 :rule instantiate :premises (@p83) :args ((@list tptp.sk3 @t214))) % 116.00/116.20 (step @p285 :rule instantiate :premises (@p49) :args (@t215)) % 116.00/116.20 (step @p286 :rule cnf_or_pos :args (@t220)) % 116.00/116.20 (step @p287 :rule reordering :premises (@p286) :args ((or @t170 @t219 @t217 (not @t220)))) % 116.00/116.20 (step @p288 :rule chain_m_resolution :premises (@p287 @p185 @p285 @p284) :args (@t217 @t190 (@list @t156 @t218 @t220))) % 116.00/116.20 (assume-push @p514 @t221) % 116.00/116.20 (assume-push @p515 @t217) % 116.00/116.20 (assume-push @p516 @t208) % 116.00/116.20 (assume-push @p517 @t217) % 116.00/116.20 (assume-push @p518 @t221) % 116.00/116.20 (assume-push @p519 @t208) % 116.00/116.20 (step @p295 :rule true_intro :premises (@p288)) % 116.00/116.20 (step @p296 :rule symm :premises (@p514)) % 116.00/116.20 (step @p297 :rule symm :premises (@p283)) % 116.00/116.20 (step @p298 :rule trans :premises (@p297 @p296)) % 116.00/116.20 (step @p299 :rule refl :args (@t214)) % 116.00/116.20 (step @p300 :rule cong :premises (@p299 @p298) :args (@t222)) % 116.00/116.20 (step @p301 :rule cong :premises (@p299 @p283) :args (@t223)) % 116.00/116.20 (step @p302 :rule trans :premises (@p301 @p300)) % 116.00/116.20 (step @p303 :rule cong :premises (@p302) :args (@t224)) % 116.00/116.20 (step @p304 :rule trans :premises (@p303 @p295)) % 116.00/116.20 (step @p305 :rule true_elim :premises (@p304)) % 116.00/116.20 (step-pop @p520 :rule scope :premises (@p305)) % 116.00/116.20 (step-pop @p521 :rule scope :premises (@p520)) % 116.00/116.20 (step-pop @p522 :rule scope :premises (@p521)) % 116.00/116.20 (step @p306 :rule process_scope :premises (@p522) :args (@t224)) % 116.00/116.20 (step @p310 :rule and_intro :premises (@p288 @p514 @p283)) % 116.00/116.20 (step @p311 :rule modus_ponens :premises (@p310 @p306)) % 116.00/116.20 (step-pop @p523 :rule scope :premises (@p311)) % 116.00/116.20 (step-pop @p524 :rule scope :premises (@p523)) % 116.00/116.20 (step-pop @p525 :rule scope :premises (@p524)) % 116.00/116.20 (step @p312 :rule process_scope :premises (@p525) :args (@t224)) % 116.00/116.20 (step @p316 :rule implies_elim :premises (@p312)) % 116.00/116.20 (step @p317 :rule cnf_and_neg :args (@t225)) % 116.00/116.20 (step @p318 :rule resolution :premises (@p317 @p316) :args (true @t225)) % 116.00/116.20 (step @p319 :rule reordering :premises (@p318) :args ((or @t227 (not @t217) @t224 @t226))) % 116.00/116.20 (step @p320 :rule instantiate :premises (@p146) :args ((@list @t166 @t167 @t214))) % 116.00/116.20 (step @p321 :rule cnf_or_pos :args (@t232)) % 116.00/116.20 (step @p322 :rule reordering :premises (@p321) :args ((or @t219 @t193 @t195 @t231 (not @t232)))) % 116.00/116.20 (step @p323 :rule chain_m_resolution :premises (@p322 @p285 @p250 @p245 @p320) :args (@t231 @t175 (@list @t218 @t186 @t194 @t232))) % 116.00/116.20 (step @p324 :rule aci_norm :args ((= (or false @t112 @t46 @t71 @t234 @t233) (or @t112 @t46 @t71 @t234 @t233)))) % 116.00/116.20 (step @p325 :rule refl :args (@t233)) % 116.00/116.20 (step @p326 :rule refl :args (@t234)) % 116.00/116.20 (step @p327 :rule refl :args (@t112)) % 116.00/116.20 (step @p328 :rule eq-refl :args (@t142)) % 116.00/116.20 (step @p329 :rule cong :premises (@p328) :args (@t235)) % 116.00/116.20 (step @p330 :rule trans :premises (@p329 @p213)) % 116.00/116.20 (step @p331 :rule nary_cong :premises (@p330 @p327 @p196 @p197 @p326 @p325) :args (@t236)) % 116.00/116.20 (step @p332 :rule trans :premises (@p331 @p324)) % 116.00/116.20 (step @p333 :rule cong :premises (@p332) :args ((forall @t113 @t236))) % 116.00/116.20 (step @p334 :rule quant-var-elim-eq :args ((= (forall @t239 @t238) @t236))) % 116.00/116.20 (step @p335 :rule aci_norm :args ((= @t240 @t238))) % 116.00/116.20 (step @p336 :rule cong :premises (@p335) :args (@t241)) % 116.00/116.20 (step @p337 :rule trans :premises (@p336 @p334)) % 116.00/116.20 (step @p338 :rule cong :premises (@p337) :args (@t242)) % 116.00/116.20 (step @p339 :rule quant-merge-prenex :args ((= @t242 (forall @t139 @t240)))) % 116.00/116.20 (step @p340 :rule symm :premises (@p339)) % 116.00/116.20 (step @p341 :rule trans :premises (@p340 @p338)) % 116.00/116.20 (step @p342 :rule trans :premises (@p341 @p333)) % 116.00/116.20 (step @p343 :rule refl :args (@t141)) % 116.00/116.20 (step @p344 :rule refl :args (@t136)) % 116.00/116.20 (step @p345 :rule eq-symm :args (@t142 @t135)) % 116.00/116.20 (step @p346 :rule cong :premises (@p345) :args (@t143)) % 116.00/116.20 (step @p347 :rule nary_cong :premises (@p346 @p327 @p196 @p197 @p344 @p343) :args (@t144)) % 116.00/116.20 (step @p348 :rule cong :premises (@p347) :args (@t145)) % 116.00/116.20 (step @p349 :rule trans :premises (@p348 @p342)) % 116.00/116.20 (step @p350 :rule eq_resolve :premises (@p172 @p349)) % 116.00/116.20 (step @p351 :rule instantiate :premises (@p350) :args ((@list @t229 tptp.sk5 @t165))) % 116.00/116.20 (step @p295 :rule true_intro :premises (@p288)) % 116.00/116.20 (step @p299 :rule refl :args (@t214)) % 116.00/116.20 (step @p352 :rule cong :premises (@p299 @p241) :args (@t228)) % 116.00/116.20 (step @p353 :rule trans :premises (@p323 @p352)) % 116.00/116.20 (step @p354 :rule cong :premises (@p353) :args (@t243)) % 116.00/116.20 (step @p355 :rule trans :premises (@p354 @p295)) % 116.00/116.20 (step @p356 :rule true_elim :premises (@p355)) % 116.00/116.20 (step @p357 :rule instantiate :premises (@p83) :args ((@list @t167 @t214))) % 116.00/116.20 (step @p358 :rule cnf_or_pos :args (@t245)) % 116.00/116.20 (step @p359 :rule reordering :premises (@p358) :args ((or @t219 @t195 @t244 (not @t245)))) % 116.00/116.20 (step @p360 :rule chain_m_resolution :premises (@p359 @p285 @p245 @p357) :args (@t244 @t190 (@list @t218 @t194 @t245))) % 116.00/116.20 (step @p361 :rule cnf_or_pos :args (@t249)) % 116.00/116.20 (step @p362 :rule reordering :premises (@p361) :args ((or @t171 @t188 @t248 @t247 @t246 (not @t249)))) % 116.00/116.20 (step @p363 :rule chain_m_resolution :premises (@p362 @p192 @p247 @p360 @p356 @p351) :args (@t246 (@list false false false false false) (@list @t160 @t187 @t244 @t243 @t249))) % 116.00/116.20 (assume-push @p526 @t221) % 116.00/116.20 (assume-push @p527 @t169) % 116.00/116.20 (assume-push @p528 @t208) % 116.00/116.20 (assume-push @p529 @t231) % 116.00/116.20 (assume-push @p530 @t246) % 116.00/116.20 (assume-push @p531 @t246) % 116.00/116.20 (assume-push @p532 @t231) % 116.00/116.20 (assume-push @p533 @t169) % 116.00/116.20 (assume-push @p534 @t221) % 116.00/116.20 (assume-push @p535 @t208) % 116.00/116.20 (step @p374 :rule true_intro :premises (@p363)) % 116.00/116.20 (step @p375 :rule symm :premises (@p323)) % 116.00/116.20 (step @p376 :rule cong :premises (@p299 @p208) :args (@t216)) % 116.00/116.20 (step @p377 :rule symm :premises (@p526)) % 116.00/116.20 (step @p297 :rule symm :premises (@p283)) % 116.00/116.20 (step @p378 :rule trans :premises (@p297 @p377)) % 116.00/116.20 (step @p379 :rule cong :premises (@p299 @p378) :args (@t222)) % 116.00/116.20 (step @p301 :rule cong :premises (@p299 @p283) :args (@t223)) % 116.00/116.20 (step @p380 :rule trans :premises (@p301 @p379 @p376 @p375)) % 116.00/116.20 (step @p381 :rule cong :premises (@p380 @p203) :args (@t250)) % 116.00/116.20 (step @p382 :rule trans :premises (@p381 @p374)) % 116.00/116.20 (step @p383 :rule true_elim :premises (@p382)) % 116.00/116.20 (step-pop @p536 :rule scope :premises (@p383)) % 116.00/116.20 (step-pop @p537 :rule scope :premises (@p536)) % 116.00/116.20 (step-pop @p538 :rule scope :premises (@p537)) % 116.00/116.20 (step-pop @p539 :rule scope :premises (@p538)) % 116.00/116.20 (step-pop @p540 :rule scope :premises (@p539)) % 116.00/116.20 (step @p384 :rule process_scope :premises (@p540) :args (@t250)) % 116.00/116.20 (step @p390 :rule and_intro :premises (@p363 @p323 @p208 @p526 @p283)) % 116.00/116.20 (step @p391 :rule modus_ponens :premises (@p390 @p384)) % 116.00/116.20 (step-pop @p541 :rule scope :premises (@p391)) % 116.00/116.20 (step-pop @p542 :rule scope :premises (@p541)) % 116.00/116.20 (step-pop @p543 :rule scope :premises (@p542)) % 116.00/116.20 (step-pop @p544 :rule scope :premises (@p543)) % 116.00/116.20 (step-pop @p545 :rule scope :premises (@p544)) % 116.00/116.20 (step @p392 :rule process_scope :premises (@p545) :args (@t250)) % 116.00/116.20 (step @p398 :rule implies_elim :premises (@p392)) % 116.00/116.20 (step @p399 :rule cnf_and_neg :args (@t251)) % 116.00/116.20 (step @p400 :rule resolution :premises (@p399 @p398) :args (true @t251)) % 116.00/116.20 (step @p401 :rule cong :premises (@p187 @p203) :args (@t162)) % 116.00/116.20 (step @p402 :rule cong :premises (@p401) :args (@t163)) % 116.00/116.20 (step @p403 :rule eq_resolve :premises (@p194 @p402)) % 116.00/116.20 (step @p404 :rule eq-symm :args (@t129 @t1)) % 116.00/116.20 (step @p405 :rule refl :args (@t103)) % 116.00/116.20 (step @p406 :rule nary_cong :premises (@p405 @p212 @p196 @p404) :args (@t130)) % 116.00/116.20 (step @p407 :rule cong :premises (@p406) :args (@t131)) % 116.00/116.20 (step @p408 :rule eq_resolve :premises (@p165 @p407)) % 116.00/116.20 (step @p409 :rule instantiate :premises (@p408) :args (@t215)) % 116.00/116.20 (step @p410 :rule cnf_or_pos :args (@t256)) % 116.00/116.20 (step @p411 :rule reordering :premises (@p410) :args ((or @t170 @t254 @t255 @t253 (not @t256)))) % 116.00/116.20 (step @p412 :rule chain_m_resolution :premises (@p411 @p185 @p186 @p189 @p409) :args (@t253 @t175 (@list @t156 @t157 @t158 @t256))) % 116.00/116.20 (step @p413 :rule refl :args (@t259)) % 116.00/116.20 (step @p414 :rule refl :args (@t260)) % 116.00/116.20 (step @p415 :rule refl :args (@t226)) % 116.00/116.20 (step @p416 :rule refl :args (@t261)) % 116.00/116.20 (step @p417 :rule refl :args (@t262)) % 116.00/116.20 (step @p418 :rule refl :args (@t227)) % 116.00/116.20 (step @p419 :rule bool-double-not-elim :args (@t263)) % 116.00/116.20 (step @p420 :rule nary_cong :premises (@p419 @p418 @p417 @p416 @p415 @p414 @p413) :args ((or (not @t264) @t227 @t262 @t261 @t226 @t260 @t259))) % 116.00/116.20 (assume-push @p546 @t264) % 116.00/116.20 (assume-push @p547 @t221) % 116.00/116.20 (assume-push @p548 @t253) % 116.00/116.20 (assume-push @p549 @t169) % 116.00/116.20 (assume-push @p550 @t208) % 116.00/116.20 (assume-push @p551 @t231) % 116.00/116.20 (assume-push @p552 @t264) % 116.00/116.20 (assume-push @p553 @t253) % 116.00/116.20 (assume-push @p554 @t169) % 116.00/116.20 (assume-push @p555 @t231) % 116.00/116.20 (assume-push @p556 @t221) % 116.00/116.20 (assume-push @p557 @t208) % 116.00/116.20 (step @p433 :rule false_intro :premises (@p403)) % 116.00/116.20 (step @p434 :rule symm :premises (@p412)) % 116.00/116.20 (step @p435 :rule refl :args (@t252)) % 116.00/116.20 (step @p436 :rule cong :premises (@p353 @p435) :args ((tptp.app @t230 @t252))) % 116.00/116.20 (step @p437 :rule symm :premises (@p353)) % 116.00/116.20 (step @p438 :rule symm :premises (@p547)) % 116.00/116.20 (step @p297 :rule symm :premises (@p283)) % 116.00/116.20 (step @p439 :rule trans :premises (@p297 @p438)) % 116.00/116.20 (step @p440 :rule cong :premises (@p299 @p439) :args (@t222)) % 116.00/116.20 (step @p301 :rule cong :premises (@p299 @p283) :args (@t223)) % 116.00/116.20 (step @p441 :rule trans :premises (@p301 @p440)) % 116.00/116.20 (step @p442 :rule trans :premises (@p441 @p437)) % 116.00/116.20 (step @p443 :rule cong :premises (@p442 @p435) :args (@t257)) % 116.00/116.20 (step @p444 :rule trans :premises (@p443 @p436 @p434)) % 116.00/116.20 (step @p445 :rule cong :premises (@p444 @p203) :args (@t258)) % 116.00/116.20 (step @p446 :rule trans :premises (@p445 @p433)) % 116.00/116.20 (step @p447 :rule false_elim :premises (@p446)) % 116.00/116.20 (step-pop @p558 :rule scope :premises (@p447)) % 116.00/116.20 (step-pop @p559 :rule scope :premises (@p558)) % 116.00/116.20 (step-pop @p560 :rule scope :premises (@p559)) % 116.00/116.20 (step-pop @p561 :rule scope :premises (@p560)) % 116.00/116.20 (step-pop @p562 :rule scope :premises (@p561)) % 116.00/116.20 (step-pop @p563 :rule scope :premises (@p562)) % 116.00/116.20 (step @p448 :rule process_scope :premises (@p563) :args (@t259)) % 116.00/116.20 (step @p455 :rule and_intro :premises (@p403 @p412 @p208 @p323 @p547 @p283)) % 116.00/116.20 (step @p456 :rule modus_ponens :premises (@p455 @p448)) % 116.00/116.20 (step-pop @p564 :rule scope :premises (@p456)) % 116.00/116.20 (step-pop @p565 :rule scope :premises (@p564)) % 116.00/116.20 (step-pop @p566 :rule scope :premises (@p565)) % 116.00/116.20 (step-pop @p567 :rule scope :premises (@p566)) % 116.00/116.20 (step-pop @p568 :rule scope :premises (@p567)) % 116.00/116.20 (step-pop @p569 :rule scope :premises (@p568)) % 116.00/116.20 (step @p457 :rule process_scope :premises (@p569) :args (@t259)) % 116.00/116.20 (step @p464 :rule implies_elim :premises (@p457)) % 116.00/116.20 (step @p465 :rule cnf_and_neg :args (@t265)) % 116.00/116.20 (step @p466 :rule resolution :premises (@p465 @p464) :args (true @t265)) % 116.00/116.20 (step @p467 :rule eq_resolve :premises (@p466 @p420)) % 116.00/116.20 (step @p468 :rule instantiate :premises (@p48) :args ((@list tptp.sk3 tptp.sk4))) % 116.00/116.20 (step @p469 :rule instantiate :premises (@p137) :args ((@list @t223 tptp.sk5 @t252))) % 116.00/116.20 (step @p470 :rule cnf_or_pos :args (@t270)) % 116.00/116.20 (step @p471 :rule reordering :premises (@p470) :args ((or @t171 @t268 @t266 @t269 @t258 (not @t270)))) % 116.00/116.20 (step @p472 :rule chain_m_resolution :premises (@p471 @p469 @p468 @p192 @p467 @p323 @p283 @p208 @p412 @p403 @p400 @p363 @p323 @p283 @p208 @p319 @p288 @p283) :args (@t227 (@list false false false true false false false false true false false false false false false false false) (@list @t270 @t267 @t160 @t258 @t231 @t208 @t169 @t253 @t263 @t250 @t246 @t231 @t208 @t169 @t224 @t217 @t208))) % 116.00/116.20 (step @p473 :rule cnf_or_pos :args (@t272)) % 116.00/116.20 (step @p474 :rule reordering :premises (@p473) :args ((or @t170 @t271 @t221 (not @t272)))) % 116.00/116.20 (step @p475 :rule chain_m_resolution :premises (@p474 @p185 @p472 @p273) :args (@t271 (@list false true false) (@list @t156 @t221 @t272))) % 116.00/116.20 (step @p476 :rule bool-double-not-elim :args (@t200)) % 116.00/116.20 (step @p477 :rule refl :args (@t273)) % 116.00/116.20 (step @p478 :rule refl :args (@t274)) % 116.00/116.20 (step @p479 :rule nary_cong :premises (@p478 @p416 @p477 @p476) :args ((or @t274 @t261 @t273 (not @t201)))) % 116.00/116.20 (assume-push @p570 @t201) % 116.00/116.20 (assume-push @p571 @t271) % 116.00/116.20 (assume-push @p572 @t169) % 116.00/116.20 (assume-push @p573 @t191) % 116.00/116.20 (step @p484 :rule evaluate :args ((= true false))) % 116.00/116.20 (step @p485 :rule false_intro :premises (@p267)) % 116.00/116.20 (step @p486 :rule refl :args (@t166)) % 116.00/116.20 (step @p487 :rule symm :premises (@p571)) % 116.00/116.20 (step @p488 :rule trans :premises (@p241 @p487)) % 116.00/116.20 (step @p489 :rule cong :premises (@p488 @p486) :args (@t191)) % 116.00/116.20 (step @p490 :rule true_intro :premises (@p253)) % 116.00/116.20 (step @p491 :rule symm :premises (@p490)) % 116.00/116.20 (step @p492 :rule trans :premises (@p491 @p489 @p485)) % 116.00/116.20 (step @p493 false :rule eq_resolve :premises (@p492 @p484)) % 116.00/116.20 (step-pop @p574 :rule scope :premises (@p493)) % 116.00/116.20 (step-pop @p575 :rule scope :premises (@p574)) % 116.00/116.20 (step-pop @p576 :rule scope :premises (@p575)) % 116.00/116.20 (step-pop @p577 :rule scope :premises (@p576)) % 116.00/116.20 (step @p494 :rule process_scope :premises (@p577) :args (false)) % 116.00/116.20 (assume-push @p578 @t271) % 116.00/116.20 (assume-push @p579 @t169) % 116.00/116.20 (assume-push @p580 @t191) % 116.00/116.20 (assume-push @p581 @t201) % 116.00/116.20 (step @p503 :rule and_intro :premises (@p267 @p578 @p208 @p253)) % 116.00/116.20 (step-pop @p582 :rule scope :premises (@p503)) % 116.00/116.20 (step-pop @p583 :rule scope :premises (@p582)) % 116.00/116.20 (step-pop @p584 :rule scope :premises (@p583)) % 116.00/116.20 (step-pop @p585 :rule scope :premises (@p584)) % 116.00/116.20 (step @p504 :rule process_scope :premises (@p585) :args (@t275)) % 116.00/116.20 (step @p509 :rule implies_elim :premises (@p504)) % 116.00/116.20 (step @p510 :rule resolution :premises (@p509 @p494) :args (true @t275)) % 116.00/116.20 (step @p511 :rule not_and :premises (@p510)) % 116.00/116.20 (step @p512 :rule eq_resolve :premises (@p511 @p479)) % 116.00/116.20 (step @p513 false :rule chain_m_resolution :premises (@p512 @p475 @p267 @p253 @p208) :args (false (@list false true false false) (@list @t271 @t200 @t191 @t169))) % 116.00/116.20 ) % 116.00/116.20 % SZS output end Proof % 116.00/116.20 % cvc5 exiting %------------------------------------------------------------------------------