%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC191-1 : 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 : n013.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 08:58:24 AM UTC 2026 % Result : Unsatisfiable 234.23s 234.53s % Output : Proof 234.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC191-1 : 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 % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:22:30 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.59/15.89 --- Run --no-e-matching --full-saturate-quant at 6... % 21.70/21.93 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.69/27.97 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.70/34.02 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.81/64.11 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.92/79.15 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.96/112.23 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.98/127.28 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.05/157.36 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.18/172.40 --- Run --relevant-triggers --full-saturate-quant at 30... % 202.14/202.47 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 217.43/217.76 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 232.55/232.80 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 234.23/234.53 % SZS status Unsatisfiable % 234.23/234.53 % SZS output start Proof % 234.23/234.54 ( % 234.23/234.54 (declare-sort $$unsorted 0) % 234.23/234.54 (declare-const tptp.sk7 $$unsorted) % 234.23/234.54 (declare-const tptp.sk5 $$unsorted) % 234.23/234.54 (declare-const tptp.sk4 $$unsorted) % 234.23/234.54 (declare-const tptp.sk2 $$unsorted) % 234.23/234.54 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.sk8 $$unsorted) % 234.23/234.54 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.sk6 $$unsorted) % 234.23/234.54 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.nil $$unsorted) % 234.23/234.54 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.sk1 $$unsorted) % 234.23/234.54 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.skac2 $$unsorted) % 234.23/234.54 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.sk3 $$unsorted) % 234.23/234.54 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.ssList (-> $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skac3 $$unsorted) % 234.23/234.54 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 234.23/234.54 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 234.23/234.54 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 234.23/234.54 (define @t1 () (tptp.ssList tptp.nil)) % 234.23/234.54 (define @t2 () (@var "U" $$unsorted)) % 234.23/234.54 (define @t3 () (tptp.skaf83 @t2)) % 234.23/234.54 (define @t4 () (@list @t2)) % 234.23/234.54 (define @t5 () (tptp.skaf82 @t2)) % 234.23/234.54 (define @t6 () (tptp.skaf81 @t2)) % 234.23/234.54 (define @t7 () (tptp.skaf80 @t2)) % 234.23/234.54 (define @t8 () (tptp.skaf79 @t2)) % 234.23/234.54 (define @t9 () (tptp.skaf78 @t2)) % 234.23/234.54 (define @t10 () (tptp.skaf77 @t2)) % 234.23/234.54 (define @t11 () (tptp.skaf76 @t2)) % 234.23/234.54 (define @t12 () (tptp.skaf75 @t2)) % 234.23/234.54 (define @t13 () (tptp.skaf74 @t2)) % 234.23/234.54 (define @t14 () (tptp.skaf73 @t2)) % 234.23/234.54 (define @t15 () (tptp.skaf72 @t2)) % 234.23/234.54 (define @t16 () (tptp.skaf71 @t2)) % 234.23/234.54 (define @t17 () (tptp.skaf70 @t2)) % 234.23/234.54 (define @t18 () (tptp.skaf69 @t2)) % 234.23/234.54 (define @t19 () (tptp.skaf68 @t2)) % 234.23/234.54 (define @t20 () (tptp.skaf67 @t2)) % 234.23/234.54 (define @t21 () (tptp.skaf66 @t2)) % 234.23/234.54 (define @t22 () (tptp.skaf65 @t2)) % 234.23/234.54 (define @t23 () (tptp.skaf64 @t2)) % 234.23/234.54 (define @t24 () (tptp.skaf63 @t2)) % 234.23/234.54 (define @t25 () (tptp.skaf62 @t2)) % 234.23/234.54 (define @t26 () (tptp.skaf61 @t2)) % 234.23/234.54 (define @t27 () (tptp.skaf60 @t2)) % 234.23/234.54 (define @t28 () (tptp.skaf59 @t2)) % 234.23/234.54 (define @t29 () (tptp.skaf58 @t2)) % 234.23/234.54 (define @t30 () (tptp.skaf57 @t2)) % 234.23/234.54 (define @t31 () (tptp.skaf56 @t2)) % 234.23/234.54 (define @t32 () (tptp.skaf55 @t2)) % 234.23/234.54 (define @t33 () (tptp.skaf54 @t2)) % 234.23/234.54 (define @t34 () (tptp.skaf53 @t2)) % 234.23/234.54 (define @t35 () (tptp.skaf52 @t2)) % 234.23/234.54 (define @t36 () (tptp.skaf51 @t2)) % 234.23/234.54 (define @t37 () (tptp.skaf50 @t2)) % 234.23/234.54 (define @t38 () (tptp.skaf49 @t2)) % 234.23/234.54 (define @t39 () (tptp.skaf44 @t2)) % 234.23/234.54 (define @t40 () (@var "V" $$unsorted)) % 234.23/234.54 (define @t41 () (@list @t2 @t40)) % 234.23/234.54 (define @t42 () (tptp.skaf47 @t2 @t40)) % 234.23/234.54 (define @t43 () (tptp.skaf46 @t2 @t40)) % 234.23/234.54 (define @t44 () (tptp.skaf45 @t2 @t40)) % 234.23/234.54 (define @t45 () (tptp.skaf42 @t2 @t40)) % 234.23/234.54 (define @t46 () (not (tptp.ssItem @t2))) % 234.23/234.54 (define @t47 () (not (tptp.ssList @t2))) % 234.23/234.54 (define @t48 () (tptp.cons @t2 tptp.nil)) % 234.23/234.54 (define @t49 () (tptp.ssItem @t40)) % 234.23/234.54 (define @t50 () (tptp.duplicatefreeP @t2)) % 234.23/234.54 (define @t51 () (tptp.app tptp.nil @t2)) % 234.23/234.54 (define @t52 () (or @t47 (= @t51 @t2))) % 234.23/234.54 (define @t53 () (forall @t4 @t52)) % 234.23/234.54 (define @t54 () (= tptp.nil @t2)) % 234.23/234.54 (define @t55 () (tptp.tl @t2)) % 234.23/234.54 (define @t56 () (tptp.hd @t2)) % 234.23/234.54 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 234.23/234.54 (define @t58 () (not @t54)) % 234.23/234.54 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 234.23/234.54 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 234.23/234.54 (define @t61 () (tptp.app @t40 @t2)) % 234.23/234.54 (define @t62 () (not (tptp.ssList @t40))) % 234.23/234.54 (define @t63 () (tptp.cons @t2 @t40)) % 234.23/234.54 (define @t64 () (tptp.cyclefreeP @t2)) % 234.23/234.54 (define @t65 () (tptp.equalelemsP @t2)) % 234.23/234.54 (define @t66 () (tptp.strictorderedP @t2)) % 234.23/234.54 (define @t67 () (tptp.totalorderedP @t2)) % 234.23/234.54 (define @t68 () (tptp.strictorderP @t2)) % 234.23/234.54 (define @t69 () (tptp.totalorderP @t2)) % 234.23/234.54 (define @t70 () (= @t40 @t2)) % 234.23/234.54 (define @t71 () (tptp.neq @t40 @t2)) % 234.23/234.54 (define @t72 () (not @t49)) % 234.23/234.54 (define @t73 () (tptp.leq @t2 @t40)) % 234.23/234.54 (define @t74 () (tptp.lt @t2 @t40)) % 234.23/234.54 (define @t75 () (not @t74)) % 234.23/234.54 (define @t76 () (tptp.lt @t40 @t2)) % 234.23/234.54 (define @t77 () (not (tptp.gt @t2 @t40))) % 234.23/234.54 (define @t78 () (tptp.gt @t40 @t2)) % 234.23/234.54 (define @t79 () (tptp.leq @t40 @t2)) % 234.23/234.54 (define @t80 () (not (tptp.geq @t2 @t40))) % 234.23/234.54 (define @t81 () (tptp.geq @t40 @t2)) % 234.23/234.54 (define @t82 () (not @t73)) % 234.23/234.54 (define @t83 () (= @t2 @t40)) % 234.23/234.54 (define @t84 () (not @t83)) % 234.23/234.54 (define @t85 () (tptp.cons @t40 @t2)) % 234.23/234.54 (define @t86 () (not (tptp.neq @t2 @t40))) % 234.23/234.54 (define @t87 () (tptp.app @t2 @t40)) % 234.23/234.54 (define @t88 () (= @t87 tptp.nil)) % 234.23/234.54 (define @t89 () (not @t88)) % 234.23/234.54 (define @t90 () (= tptp.nil @t40)) % 234.23/234.54 (define @t91 () (tptp.app @t48 @t40)) % 234.23/234.54 (define @t92 () (or @t46 @t62 (= @t91 @t63))) % 234.23/234.54 (define @t93 () (forall @t41 @t92)) % 234.23/234.54 (define @t94 () (tptp.hd @t40)) % 234.23/234.54 (define @t95 () (tptp.strictorderedP @t40)) % 234.23/234.54 (define @t96 () (tptp.strictorderedP @t63)) % 234.23/234.54 (define @t97 () (not @t96)) % 234.23/234.54 (define @t98 () (tptp.totalorderedP @t40)) % 234.23/234.54 (define @t99 () (tptp.totalorderedP @t63)) % 234.23/234.54 (define @t100 () (not @t99)) % 234.23/234.54 (define @t101 () (not (tptp.segmentP @t2 @t40))) % 234.23/234.54 (define @t102 () (not (tptp.rearsegP @t2 @t40))) % 234.23/234.54 (define @t103 () (not (tptp.frontsegP @t2 @t40))) % 234.23/234.54 (define @t104 () (not @t79)) % 234.23/234.54 (define @t105 () (tptp.tl @t40)) % 234.23/234.54 (define @t106 () (tptp.lt @t2 @t94)) % 234.23/234.54 (define @t107 () (tptp.leq @t2 @t94)) % 234.23/234.54 (define @t108 () (@var "W" $$unsorted)) % 234.23/234.54 (define @t109 () (tptp.app @t108 @t2)) % 234.23/234.54 (define @t110 () (not (tptp.ssList @t108))) % 234.23/234.54 (define @t111 () (@list @t2 @t40 @t108)) % 234.23/234.54 (define @t112 () (tptp.app @t2 @t108)) % 234.23/234.54 (define @t113 () (tptp.cons @t40 @t108)) % 234.23/234.54 (define @t114 () (tptp.cons @t108 @t2)) % 234.23/234.54 (define @t115 () (not (tptp.ssItem @t108))) % 234.23/234.54 (define @t116 () (not (tptp.memberP @t2 @t40))) % 234.23/234.54 (define @t117 () (not (= @t87 @t108))) % 234.23/234.54 (define @t118 () (tptp.lt @t2 @t108)) % 234.23/234.54 (define @t119 () (not (tptp.lt @t40 @t108))) % 234.23/234.54 (define @t120 () (tptp.app @t108 @t40)) % 234.23/234.54 (define @t121 () (= @t40 @t108)) % 234.23/234.54 (define @t122 () (= @t2 @t108)) % 234.23/234.54 (define @t123 () (tptp.memberP @t40 @t108)) % 234.23/234.54 (define @t124 () (@var "X" $$unsorted)) % 234.23/234.54 (define @t125 () (not (tptp.ssList @t124))) % 234.23/234.54 (define @t126 () (tptp.cons @t108 @t124)) % 234.23/234.54 (define @t127 () (not (= @t63 @t126))) % 234.23/234.54 (define @t128 () (@list @t2 @t40 @t108 @t124)) % 234.23/234.54 (define @t129 () (not (tptp.frontsegP @t63 @t126))) % 234.23/234.54 (define @t130 () (tptp.app @t2 @t113)) % 234.23/234.54 (define @t131 () (not (tptp.ssItem @t124))) % 234.23/234.54 (define @t132 () (@var "Y" $$unsorted)) % 234.23/234.54 (define @t133 () (not (tptp.ssList @t132))) % 234.23/234.54 (define @t134 () (@list @t2 @t40 @t108 @t124 @t132)) % 234.23/234.54 (define @t135 () (not (tptp.equalelemsP @t132))) % 234.23/234.54 (define @t136 () (tptp.app @t2 (tptp.cons @t40 @t126))) % 234.23/234.54 (define @t137 () (not (= @t136 @t132))) % 234.23/234.54 (define @t138 () (or @t137 @t125 @t47 @t115 @t72 @t135 @t133 @t121)) % 234.23/234.54 (define @t139 () (forall @t134 @t138)) % 234.23/234.54 (define @t140 () (tptp.lt @t40 @t124)) % 234.23/234.54 (define @t141 () (@var "Z" $$unsorted)) % 234.23/234.54 (define @t142 () (not (tptp.ssList @t141))) % 234.23/234.54 (define @t143 () (not (= (tptp.app @t130 (tptp.cons @t124 @t132)) @t141))) % 234.23/234.54 (define @t144 () (@list @t2 @t40 @t108 @t124 @t132 @t141)) % 234.23/234.54 (define @t145 () (tptp.leq @t40 @t124)) % 234.23/234.54 (define @t146 () (tptp.ssList tptp.sk1)) % 234.23/234.54 (define @t147 () (tptp.equalelemsP tptp.sk3)) % 234.23/234.54 (define @t148 () (@var "A" $$unsorted)) % 234.23/234.54 (define @t149 () (tptp.ssItem tptp.sk5)) % 234.23/234.54 (define @t150 () (tptp.ssItem tptp.sk6)) % 234.23/234.54 (define @t151 () (tptp.ssList tptp.sk7)) % 234.23/234.54 (define @t152 () (tptp.ssList tptp.sk8)) % 234.23/234.54 (define @t153 () (tptp.cons tptp.sk6 tptp.nil)) % 234.23/234.54 (define @t154 () (tptp.cons tptp.sk5 tptp.nil)) % 234.23/234.54 (define @t155 () (tptp.app (tptp.app tptp.sk7 @t154) @t153)) % 234.23/234.54 (define @t156 () (tptp.app @t155 tptp.sk8)) % 234.23/234.54 (define @t157 () (= tptp.sk5 tptp.sk6)) % 234.23/234.54 (define @t158 () (tptp.app tptp.nil tptp.sk8)) % 234.23/234.54 (define @t159 () (= tptp.sk8 @t158)) % 234.23/234.54 (define @t160 () (not @t152)) % 234.23/234.54 (define @t161 () (or @t160 @t159)) % 234.23/234.54 (define @t162 () (@list false false)) % 234.23/234.54 (define @t163 () (tptp.ssList @t158)) % 234.23/234.54 (define @t164 () (not (tptp.ssList @t136))) % 234.23/234.54 (define @t165 () (not (tptp.equalelemsP @t136))) % 234.23/234.54 (define @t166 () (not (= @t136 @t136))) % 234.23/234.54 (define @t167 () (or @t166 @t125 @t47 @t115 @t72 @t165 @t164 @t121)) % 234.23/234.54 (define @t168 () (not (= @t132 @t136))) % 234.23/234.54 (define @t169 () (or @t168 @t168 @t125 @t47 @t115 @t72 @t135 @t133 @t121)) % 234.23/234.54 (define @t170 () (@list @t132)) % 234.23/234.54 (define @t171 () (or @t168 @t125 @t47 @t115 @t72 @t135 @t133 @t121)) % 234.23/234.54 (define @t172 () (forall @t170 @t171)) % 234.23/234.54 (define @t173 () (forall @t128 @t172)) % 234.23/234.54 (define @t174 () (tptp.ssList @t153)) % 234.23/234.54 (define @t175 () (not @t1)) % 234.23/234.54 (define @t176 () (not @t150)) % 234.23/234.54 (define @t177 () (or @t176 @t175 @t174)) % 234.23/234.54 (define @t178 () (@list false false false)) % 234.23/234.54 (define @t179 () (tptp.ssList @t154)) % 234.23/234.54 (define @t180 () (not @t149)) % 234.23/234.54 (define @t181 () (or @t180 @t175 @t179)) % 234.23/234.54 (define @t182 () (tptp.app @t154 @t153)) % 234.23/234.54 (define @t183 () (tptp.app tptp.sk7 @t182)) % 234.23/234.54 (define @t184 () (= @t155 @t183)) % 234.23/234.54 (define @t185 () (not @t151)) % 234.23/234.54 (define @t186 () (not @t179)) % 234.23/234.54 (define @t187 () (not @t174)) % 234.23/234.54 (define @t188 () (or @t187 @t186 @t185 @t184)) % 234.23/234.54 (define @t189 () (@list false false false false)) % 234.23/234.54 (define @t190 () (tptp.app @t183 tptp.sk8)) % 234.23/234.54 (define @t191 () (tptp.ssList @t182)) % 234.23/234.54 (define @t192 () (or @t187 @t186 @t191)) % 234.23/234.54 (define @t193 () (tptp.app @t182 tptp.sk8)) % 234.23/234.54 (define @t194 () (= @t190 (tptp.app tptp.sk7 @t193))) % 234.23/234.54 (define @t195 () (not @t191)) % 234.23/234.54 (define @t196 () (or @t160 @t195 @t185 @t194)) % 234.23/234.54 (define @t197 () (tptp.app @t153 tptp.sk8)) % 234.23/234.54 (define @t198 () (tptp.app @t154 @t197)) % 234.23/234.54 (define @t199 () (= @t193 @t198)) % 234.23/234.54 (define @t200 () (or @t160 @t187 @t186 @t199)) % 234.23/234.54 (define @t201 () (tptp.cons tptp.sk5 @t197)) % 234.23/234.54 (define @t202 () (tptp.ssList @t197)) % 234.23/234.54 (define @t203 () (not @t202)) % 234.23/234.54 (define @t204 () (or @t180 @t203 (= @t201 @t198))) % 234.23/234.54 (define @t205 () (forall @t41 (or @t46 @t62 (= @t63 @t91)))) % 234.23/234.54 (define @t206 () (= @t198 @t201)) % 234.23/234.54 (define @t207 () (or @t180 @t203 @t206)) % 234.23/234.54 (define @t208 () (@list false)) % 234.23/234.54 (define @t209 () (@list @t205)) % 234.23/234.54 (define @t210 () (or @t160 @t187 @t202)) % 234.23/234.54 (define @t211 () (tptp.app tptp.nil @t153)) % 234.23/234.54 (define @t212 () (= @t153 @t211)) % 234.23/234.54 (define @t213 () (or @t187 @t212)) % 234.23/234.54 (define @t214 () (tptp.app @t211 tptp.sk8)) % 234.23/234.54 (define @t215 () (tptp.cons tptp.sk6 tptp.sk8)) % 234.23/234.54 (define @t216 () (or @t176 @t160 (= @t215 @t197))) % 234.23/234.54 (define @t217 () (= @t197 @t215)) % 234.23/234.54 (define @t218 () (or @t176 @t160 @t217)) % 234.23/234.54 (define @t219 () (tptp.cons tptp.sk6 @t158)) % 234.23/234.54 (define @t220 () (tptp.cons tptp.sk5 @t219)) % 234.23/234.54 (define @t221 () (tptp.app tptp.sk7 @t220)) % 234.23/234.54 (define @t222 () (tptp.ssList @t221)) % 234.23/234.54 (define @t223 () (tptp.equalelemsP @t221)) % 234.23/234.54 (define @t224 () (not @t222)) % 234.23/234.54 (define @t225 () (not @t223)) % 234.23/234.54 (define @t226 () (not @t163)) % 234.23/234.54 (define @t227 () (or @t226 @t185 @t176 @t180 @t225 @t224 @t157)) % 234.23/234.54 (assume @p1 (tptp.equalelemsP tptp.nil)) % 234.23/234.54 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 234.23/234.54 (assume @p3 (tptp.strictorderedP tptp.nil)) % 234.23/234.54 (assume @p4 (tptp.totalorderedP tptp.nil)) % 234.23/234.54 (assume @p5 (tptp.strictorderP tptp.nil)) % 234.23/234.54 (assume @p6 (tptp.totalorderP tptp.nil)) % 234.23/234.54 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 234.23/234.54 (assume @p8 @t1) % 234.23/234.54 (assume @p9 (tptp.ssItem tptp.skac3)) % 234.23/234.54 (assume @p10 (tptp.ssItem tptp.skac2)) % 234.23/234.54 (assume @p11 (not (tptp.singletonP tptp.nil))) % 234.23/234.54 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 234.23/234.54 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 234.23/234.54 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 234.23/234.54 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 234.23/234.54 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 234.23/234.54 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 234.23/234.54 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 234.23/234.54 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 234.23/234.54 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 234.23/234.54 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 234.23/234.54 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 234.23/234.54 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 234.23/234.54 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 234.23/234.54 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 234.23/234.54 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 234.23/234.54 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 234.23/234.54 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 234.23/234.54 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 234.23/234.54 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 234.23/234.54 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 234.23/234.54 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 234.23/234.54 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 234.23/234.54 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 234.23/234.54 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 234.23/234.54 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 234.23/234.54 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 234.23/234.54 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 234.23/234.54 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 234.23/234.54 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 234.23/234.54 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 234.23/234.54 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 234.23/234.54 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 234.23/234.54 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 234.23/234.54 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 234.23/234.54 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 234.23/234.54 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 234.23/234.54 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 234.23/234.54 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 234.23/234.54 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 234.23/234.54 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 234.23/234.54 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 234.23/234.54 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 234.23/234.54 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 234.23/234.54 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 234.23/234.54 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 234.23/234.54 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 234.23/234.54 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 234.23/234.54 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 234.23/234.54 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 234.23/234.54 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 234.23/234.54 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 234.23/234.54 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 234.23/234.54 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 234.23/234.54 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 234.23/234.54 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 234.23/234.54 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 234.23/234.54 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 234.23/234.54 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 234.23/234.54 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 234.23/234.54 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 234.23/234.54 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 234.23/234.54 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 234.23/234.54 (assume @p74 @t53) % 234.23/234.54 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 234.23/234.54 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 234.23/234.54 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 234.23/234.54 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 234.23/234.54 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 234.23/234.54 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 234.23/234.54 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 234.23/234.54 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 234.23/234.54 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 234.23/234.54 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 234.23/234.54 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 234.23/234.54 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 234.23/234.54 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 234.23/234.54 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 234.23/234.54 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 234.23/234.54 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 234.23/234.54 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 234.23/234.54 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 234.23/234.54 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 234.23/234.54 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 234.23/234.54 (assume @p95 (forall @t41 (or @t46 @t62 (= (tptp.hd @t63) @t2)))) % 234.23/234.54 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 234.23/234.54 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 234.23/234.54 (assume @p98 (forall @t41 (or @t47 @t62 @t71 @t70))) % 234.23/234.54 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 234.23/234.54 (assume @p100 (forall @t41 (or @t46 @t72 @t71 @t70))) % 234.23/234.54 (assume @p101 (forall @t41 (or @t75 @t72 @t46 @t73))) % 234.23/234.54 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 234.23/234.54 (assume @p103 (forall @t41 (or @t77 @t72 @t46 @t76))) % 234.23/234.54 (assume @p104 (forall @t41 (or @t75 @t46 @t72 @t78))) % 234.23/234.54 (assume @p105 (forall @t41 (or @t80 @t72 @t46 @t79))) % 234.23/234.54 (assume @p106 (forall @t41 (or @t82 @t46 @t72 @t81))) % 234.23/234.54 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 234.23/234.54 (assume @p108 (forall @t41 (or @t77 (not @t78) @t46 @t72))) % 234.23/234.54 (assume @p109 (forall @t41 (or @t84 @t75 @t72 @t46))) % 234.23/234.54 (assume @p110 (forall @t41 (or @t58 @t47 @t72 (tptp.strictorderedP @t85)))) % 234.23/234.54 (assume @p111 (forall @t41 (or @t58 @t47 @t72 (tptp.totalorderedP @t85)))) % 234.23/234.54 (assume @p112 (forall @t41 (or @t75 (not @t76) @t46 @t72))) % 234.23/234.54 (assume @p113 (forall @t41 (or @t84 @t86 @t62 @t47))) % 234.23/234.54 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 234.23/234.54 (assume @p115 (forall @t41 (or @t84 @t86 @t72 @t46))) % 234.23/234.54 (assume @p116 (forall @t41 (or @t89 @t62 @t47 @t54))) % 234.23/234.54 (assume @p117 (forall @t41 (or @t89 @t62 @t47 @t90))) % 234.23/234.54 (assume @p118 @t93) % 234.23/234.54 (assume @p119 (forall @t41 (or @t82 @t72 @t46 @t74 @t83))) % 234.23/234.54 (assume @p120 (forall @t41 (or @t47 @t62 @t90 (= (tptp.hd @t61) @t94)))) % 234.23/234.54 (assume @p121 (forall @t41 (or @t97 @t62 @t46 @t95 @t90))) % 234.23/234.54 (assume @p122 (forall @t41 (or @t100 @t62 @t46 @t98 @t90))) % 234.23/234.54 (assume @p123 (forall @t41 (or @t80 (not @t81) @t46 @t72 @t70))) % 234.23/234.54 (assume @p124 (forall @t41 (or @t101 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t70))) % 234.23/234.54 (assume @p125 (forall @t41 (or @t102 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t70))) % 234.23/234.54 (assume @p126 (forall @t41 (or @t103 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t70))) % 234.23/234.54 (assume @p127 (forall @t41 (or @t82 @t104 @t46 @t72 @t70))) % 234.23/234.54 (assume @p128 (forall @t41 (or @t102 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 234.23/234.54 (assume @p129 (forall @t41 (or @t103 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 234.23/234.54 (assume @p130 (forall @t41 (or @t47 @t62 @t90 (= (tptp.tl @t61) (tptp.app @t105 @t2))))) % 234.23/234.54 (assume @p131 (forall @t41 (or @t97 @t62 @t46 @t106 @t90))) % 234.23/234.54 (assume @p132 (forall @t41 (or @t100 @t62 @t46 @t107 @t90))) % 234.23/234.54 (assume @p133 (forall @t111 (or @t102 @t110 @t62 @t47 (tptp.rearsegP @t109 @t40)))) % 234.23/234.54 (assume @p134 (forall @t111 (or @t103 @t110 @t62 @t47 (tptp.frontsegP @t112 @t40)))) % 234.23/234.54 (assume @p135 (forall @t111 (or @t84 @t110 @t72 @t46 (tptp.memberP @t113 @t2)))) % 234.23/234.54 (assume @p136 (forall @t111 (or @t116 @t47 @t115 @t72 (tptp.memberP @t114 @t40)))) % 234.23/234.54 (assume @p137 (forall @t111 (or @t116 @t110 @t47 @t72 (tptp.memberP @t112 @t40)))) % 234.23/234.54 (assume @p138 (forall @t111 (or @t116 @t47 @t110 @t72 (tptp.memberP @t109 @t40)))) % 234.23/234.54 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 234.23/234.54 (assume @p140 (forall @t111 (or @t117 @t47 @t62 @t110 (tptp.rearsegP @t108 @t40)))) % 234.23/234.54 (assume @p141 (forall @t111 (or @t117 @t62 @t47 @t110 (tptp.frontsegP @t108 @t2)))) % 234.23/234.54 (assume @p142 (forall @t41 (or @t58 (not @t90) @t62 @t47 @t88))) % 234.23/234.54 (assume @p143 (forall @t111 (or @t77 (not (tptp.gt @t40 @t108)) @t115 @t72 @t46 (tptp.gt @t2 @t108)))) % 234.23/234.54 (assume @p144 (forall @t111 (or @t82 @t119 @t115 @t72 @t46 @t118))) % 234.23/234.54 (assume @p145 (forall @t111 (or @t80 (not (tptp.geq @t40 @t108)) @t115 @t72 @t46 (tptp.geq @t2 @t108)))) % 234.23/234.54 (assume @p146 (forall @t111 (or @t47 @t62 @t110 (= (tptp.app @t120 @t2) (tptp.app @t108 @t61))))) % 234.23/234.54 (assume @p147 (forall @t111 (or (not (= @t87 @t112)) @t62 @t47 @t110 @t121))) % 234.23/234.54 (assume @p148 (forall @t111 (or (not (= @t87 @t120)) @t47 @t62 @t110 @t122))) % 234.23/234.54 (assume @p149 (forall @t111 (or @t101 (not (tptp.segmentP @t40 @t108)) @t110 @t62 @t47 (tptp.segmentP @t2 @t108)))) % 234.23/234.54 (assume @p150 (forall @t111 (or @t102 (not (tptp.rearsegP @t40 @t108)) @t110 @t62 @t47 (tptp.rearsegP @t2 @t108)))) % 234.23/234.54 (assume @p151 (forall @t111 (or @t103 (not (tptp.frontsegP @t40 @t108)) @t110 @t62 @t47 (tptp.frontsegP @t2 @t108)))) % 234.23/234.54 (assume @p152 (forall @t111 (or @t75 @t119 @t115 @t72 @t46 @t118))) % 234.23/234.54 (assume @p153 (forall @t111 (or @t82 (not (tptp.leq @t40 @t108)) @t115 @t72 @t46 (tptp.leq @t2 @t108)))) % 234.23/234.54 (assume @p154 (forall @t111 (or @t46 @t62 @t110 (= (tptp.cons @t2 (tptp.app @t40 @t108)) (tptp.app @t63 @t108))))) % 234.23/234.54 (assume @p155 (forall @t111 (or (not (tptp.memberP @t87 @t108)) @t62 @t47 @t115 @t123 (tptp.memberP @t2 @t108)))) % 234.23/234.54 (assume @p156 (forall @t41 (or (not @t107) (not @t98) @t62 @t46 @t99 @t90))) % 234.23/234.54 (assume @p157 (forall @t41 (or (not @t106) (not @t95) @t62 @t46 @t96 @t90))) % 234.23/234.54 (assume @p158 (forall @t111 (or (not (tptp.memberP @t63 @t108)) @t62 @t46 @t115 @t123 (= @t108 @t2)))) % 234.23/234.54 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 234.23/234.54 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 234.23/234.54 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 234.23/234.54 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 234.23/234.54 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 234.23/234.54 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 234.23/234.54 (assume @p165 (forall @t41 (or @t101 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 234.23/234.54 (assume @p166 (forall @t41 (or @t116 @t72 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 234.23/234.54 (assume @p167 (forall @t128 (or @t127 @t115 @t46 @t125 @t62 @t122))) % 234.23/234.54 (assume @p168 (forall @t128 (or @t127 @t115 @t46 @t125 @t62 (= @t124 @t40)))) % 234.23/234.54 (assume @p169 (forall @t128 (or @t101 @t110 @t125 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t124 @t2) @t108) @t40)))) % 234.23/234.54 (assume @p170 (forall @t128 (or (not (= (tptp.app @t87 @t108) @t124)) @t110 @t47 @t62 @t125 (tptp.segmentP @t124 @t40)))) % 234.23/234.54 (assume @p171 (forall @t128 (or @t129 @t125 @t62 @t115 @t46 (tptp.frontsegP @t40 @t124)))) % 234.23/234.54 (assume @p172 (forall @t128 (or (not (= @t130 @t124)) @t110 @t47 @t72 @t125 (tptp.memberP @t124 @t40)))) % 234.23/234.54 (assume @p173 (forall @t128 (or @t129 @t125 @t62 @t115 @t46 @t122))) % 234.23/234.54 (assume @p174 (forall @t41 (or (not (= @t55 @t105)) (not (= @t56 @t94)) @t47 @t62 @t90 @t83 @t54))) % 234.23/234.54 (assume @p175 (forall @t128 (or @t103 (not (= @t108 @t124)) @t62 @t47 @t131 @t115 (tptp.frontsegP @t114 (tptp.cons @t124 @t40))))) % 234.23/234.54 (assume @p176 (forall @t134 (or (not (= (tptp.app @t130 (tptp.cons @t40 @t124)) @t132)) @t125 @t110 @t47 @t72 (not (tptp.duplicatefreeP @t132)) @t133))) % 234.23/234.54 (assume @p177 @t139) % 234.23/234.54 (assume @p178 (forall @t144 (or @t143 @t133 @t110 @t47 @t131 @t72 (not (tptp.strictorderedP @t141)) @t142 @t140))) % 234.23/234.54 (assume @p179 (forall @t144 (or @t143 @t133 @t110 @t47 @t131 @t72 (not (tptp.totalorderedP @t141)) @t142 @t145))) % 234.23/234.54 (assume @p180 (forall @t144 (or @t143 @t133 @t110 @t47 @t131 @t72 (not (tptp.strictorderP @t141)) @t142 @t140 (tptp.lt @t124 @t40)))) % 234.23/234.54 (assume @p181 (forall @t144 (or @t143 @t133 @t110 @t47 @t131 @t72 (not (tptp.totalorderP @t141)) @t142 @t145 (tptp.leq @t124 @t40)))) % 234.23/234.54 (assume @p182 (forall @t144 (or @t82 @t104 (not (= (tptp.app (tptp.app @t108 (tptp.cons @t2 @t124)) (tptp.cons @t40 @t132)) @t141)) @t133 @t125 @t110 @t72 @t46 (not (tptp.cyclefreeP @t141)) @t142))) % 234.23/234.54 (assume @p183 @t146) % 234.23/234.54 (assume @p184 (tptp.ssList tptp.sk2)) % 234.23/234.54 (assume @p185 (tptp.ssList tptp.sk3)) % 234.23/234.54 (assume @p186 (tptp.ssList tptp.sk4)) % 234.23/234.54 (assume @p187 (= tptp.sk2 tptp.sk4)) % 234.23/234.54 (assume @p188 (= tptp.sk1 tptp.sk3)) % 234.23/234.54 (assume @p189 (tptp.frontsegP tptp.sk4 tptp.sk3)) % 234.23/234.54 (assume @p190 @t147) % 234.23/234.54 (assume @p191 (forall (@list @t148) (or (not (tptp.ssList @t148)) (not (tptp.neq tptp.sk3 @t148)) (not (tptp.frontsegP tptp.sk4 @t148)) (not (tptp.segmentP @t148 tptp.sk3)) (not (tptp.equalelemsP @t148))))) % 234.23/234.54 (assume @p192 @t149) % 234.23/234.54 (assume @p193 @t150) % 234.23/234.54 (assume @p194 @t151) % 234.23/234.54 (assume @p195 @t152) % 234.23/234.54 (assume @p196 (= @t156 tptp.sk1)) % 234.23/234.54 (assume @p197 (not @t157)) % 234.23/234.54 (step @p198 :rule true_intro :premises (@p195)) % 234.23/234.54 (step @p199 :rule eq-symm :args (@t51 @t2)) % 234.23/234.54 (step @p200 :rule refl :args (@t47)) % 234.23/234.54 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t52)) % 234.23/234.54 (step @p202 :rule cong :premises (@p201) :args (@t53)) % 234.23/234.54 (step @p203 :rule eq_resolve :premises (@p74 @p202)) % 234.23/234.54 (step @p204 :rule instantiate :premises (@p203) :args ((@list tptp.sk8))) % 234.23/234.54 (step @p205 :rule cnf_or_pos :args (@t161)) % 234.23/234.54 (step @p206 :rule reordering :premises (@p205) :args ((or @t160 @t159 (not @t161)))) % 234.23/234.54 (step @p207 :rule chain_m_resolution :premises (@p206 @p195 @p204) :args (@t159 @t162 (@list @t152 @t161))) % 234.23/234.54 (step @p208 :rule symm :premises (@p207)) % 234.23/234.54 (step @p209 :rule cong :premises (@p208) :args (@t163)) % 234.23/234.54 (step @p210 :rule trans :premises (@p209 @p198)) % 234.23/234.54 (step @p211 :rule true_elim :premises (@p210)) % 234.23/234.54 (step @p212 :rule aci_norm :args ((= (or false @t125 @t47 @t115 @t72 @t165 @t164 @t121) (or @t125 @t47 @t115 @t72 @t165 @t164 @t121)))) % 234.23/234.54 (step @p213 :rule refl :args (@t121)) % 234.23/234.54 (step @p214 :rule refl :args (@t164)) % 234.23/234.54 (step @p215 :rule refl :args (@t165)) % 234.23/234.54 (step @p216 :rule refl :args (@t72)) % 234.23/234.54 (step @p217 :rule refl :args (@t115)) % 234.23/234.54 (step @p218 :rule refl :args (@t125)) % 234.23/234.54 (step @p219 :rule evaluate :args ((not true))) % 234.23/234.54 (step @p220 :rule eq-refl :args (@t136)) % 234.23/234.54 (step @p221 :rule cong :premises (@p220) :args (@t166)) % 234.23/234.54 (step @p222 :rule trans :premises (@p221 @p219)) % 234.23/234.54 (step @p223 :rule nary_cong :premises (@p222 @p218 @p200 @p217 @p216 @p215 @p214 @p213) :args (@t167)) % 234.23/234.54 (step @p224 :rule trans :premises (@p223 @p212)) % 234.23/234.54 (step @p225 :rule cong :premises (@p224) :args ((forall @t128 @t167))) % 234.23/234.54 (step @p226 :rule quant-var-elim-eq :args ((= (forall @t170 @t169) @t167))) % 234.23/234.54 (step @p227 :rule aci_norm :args ((= @t171 @t169))) % 234.23/234.54 (step @p228 :rule cong :premises (@p227) :args (@t172)) % 234.23/234.54 (step @p229 :rule trans :premises (@p228 @p226)) % 234.23/234.54 (step @p230 :rule cong :premises (@p229) :args (@t173)) % 234.23/234.54 (step @p231 :rule quant-merge-prenex :args ((= @t173 (forall @t134 @t171)))) % 234.23/234.54 (step @p232 :rule symm :premises (@p231)) % 234.23/234.54 (step @p233 :rule trans :premises (@p232 @p230)) % 234.23/234.54 (step @p234 :rule trans :premises (@p233 @p225)) % 234.23/234.54 (step @p235 :rule refl :args (@t133)) % 234.23/234.54 (step @p236 :rule refl :args (@t135)) % 234.23/234.54 (step @p237 :rule eq-symm :args (@t136 @t132)) % 234.23/234.54 (step @p238 :rule cong :premises (@p237) :args (@t137)) % 234.23/234.54 (step @p239 :rule nary_cong :premises (@p238 @p218 @p200 @p217 @p216 @p236 @p235 @p213) :args (@t138)) % 234.23/234.54 (step @p240 :rule cong :premises (@p239) :args (@t139)) % 234.23/234.54 (step @p241 :rule trans :premises (@p240 @p234)) % 234.23/234.54 (step @p242 :rule eq_resolve :premises (@p177 @p241)) % 234.23/234.54 (step @p243 :rule instantiate :premises (@p242) :args ((@list tptp.sk7 tptp.sk5 tptp.sk6 @t158))) % 234.23/234.54 (step @p244 :rule symm :premises (@p196)) % 234.23/234.54 (step @p245 :rule cong :premises (@p244) :args (@t146)) % 234.23/234.54 (step @p246 :rule eq_resolve :premises (@p183 @p245)) % 234.23/234.54 (step @p247 :rule true_intro :premises (@p246)) % 234.23/234.54 (step @p248 :rule refl :args (tptp.sk8)) % 234.23/234.54 (step @p249 :rule instantiate :premises (@p146) :args ((@list @t153 @t154 tptp.sk7))) % 234.23/234.54 (step @p250 :rule instantiate :premises (@p84) :args ((@list tptp.sk6 tptp.nil))) % 234.23/234.54 (step @p251 :rule cnf_or_pos :args (@t177)) % 234.23/234.54 (step @p252 :rule reordering :premises (@p251) :args ((or @t175 @t176 @t174 (not @t177)))) % 234.23/234.54 (step @p253 :rule chain_m_resolution :premises (@p252 @p8 @p193 @p250) :args (@t174 @t178 (@list @t1 @t150 @t177))) % 234.23/234.54 (step @p254 :rule instantiate :premises (@p84) :args ((@list tptp.sk5 tptp.nil))) % 234.23/234.54 (step @p255 :rule cnf_or_pos :args (@t181)) % 234.23/234.54 (step @p256 :rule reordering :premises (@p255) :args ((or @t175 @t180 @t179 (not @t181)))) % 234.23/234.54 (step @p257 :rule chain_m_resolution :premises (@p256 @p8 @p192 @p254) :args (@t179 @t178 (@list @t1 @t149 @t181))) % 234.23/234.54 (step @p258 :rule cnf_or_pos :args (@t188)) % 234.23/234.54 (step @p259 :rule reordering :premises (@p258) :args ((or @t185 @t186 @t187 @t184 (not @t188)))) % 234.23/234.54 (step @p260 :rule chain_m_resolution :premises (@p259 @p194 @p257 @p253 @p249) :args (@t184 @t189 (@list @t151 @t179 @t174 @t188))) % 234.23/234.54 (step @p261 :rule symm :premises (@p260)) % 234.23/234.54 (step @p262 :rule cong :premises (@p261 @p248) :args (@t190)) % 234.23/234.54 (step @p263 :rule instantiate :premises (@p146) :args ((@list tptp.sk8 @t182 tptp.sk7))) % 234.23/234.54 (step @p264 :rule instantiate :premises (@p83) :args ((@list @t153 @t154))) % 234.23/234.54 (step @p265 :rule cnf_or_pos :args (@t192)) % 234.23/234.54 (step @p266 :rule reordering :premises (@p265) :args ((or @t186 @t187 @t191 (not @t192)))) % 234.23/234.54 (step @p267 :rule chain_m_resolution :premises (@p266 @p257 @p253 @p264) :args (@t191 @t178 (@list @t179 @t174 @t192))) % 234.23/234.54 (step @p268 :rule cnf_or_pos :args (@t196)) % 234.23/234.54 (step @p269 :rule reordering :premises (@p268) :args ((or @t185 @t160 @t195 @t194 (not @t196)))) % 234.23/234.54 (step @p270 :rule chain_m_resolution :premises (@p269 @p194 @p195 @p267 @p263) :args (@t194 @t189 (@list @t151 @t152 @t191 @t196))) % 234.23/234.54 (step @p271 :rule symm :premises (@p270)) % 234.23/234.54 (step @p272 :rule instantiate :premises (@p146) :args ((@list tptp.sk8 @t153 @t154))) % 234.23/234.54 (step @p273 :rule cnf_or_pos :args (@t200)) % 234.23/234.54 (step @p274 :rule reordering :premises (@p273) :args ((or @t160 @t186 @t187 @t199 (not @t200)))) % 234.23/234.54 (step @p275 :rule chain_m_resolution :premises (@p274 @p195 @p257 @p253 @p272) :args (@t199 @t189 (@list @t152 @t179 @t174 @t200))) % 234.23/234.54 (step @p276 :rule symm :premises (@p275)) % 234.23/234.54 (step @p277 :rule eq-symm :args (@t91 @t63)) % 234.23/234.54 (step @p278 :rule refl :args (@t62)) % 234.23/234.54 (step @p279 :rule refl :args (@t46)) % 234.23/234.54 (step @p280 :rule nary_cong :premises (@p279 @p278 @p277) :args (@t92)) % 234.23/234.54 (step @p281 :rule cong :premises (@p280) :args (@t93)) % 234.23/234.54 (step @p282 :rule eq_resolve :premises (@p118 @p281)) % 234.23/234.54 (step @p283 :rule eq-symm :args (@t201 @t198)) % 234.23/234.54 (step @p284 :rule refl :args (@t203)) % 234.23/234.54 (step @p285 :rule refl :args (@t180)) % 234.23/234.54 (step @p286 :rule nary_cong :premises (@p285 @p284 @p283) :args (@t204)) % 234.23/234.54 (step @p287 :rule refl :args (@t205)) % 234.23/234.54 (step @p288 :rule cong :premises (@p287 @p286) :args ((=> @t205 @t204))) % 234.23/234.54 (assume-push @p352 @t205) % 234.23/234.54 (step @p290 :rule instantiate :premises (@p282) :args ((@list tptp.sk5 @t197))) % 234.23/234.54 (step-pop @p353 :rule scope :premises (@p290)) % 234.23/234.54 (step @p291 :rule process_scope :premises (@p353) :args (@t204)) % 234.23/234.54 (step @p293 :rule eq_resolve :premises (@p291 @p288)) % 234.23/234.54 (step @p294 :rule implies_elim :premises (@p293)) % 234.23/234.54 (step @p295 :rule chain_m_resolution :premises (@p294 @p282) :args (@t207 @t208 @t209)) % 234.23/234.54 (step @p296 :rule instantiate :premises (@p83) :args ((@list tptp.sk8 @t153))) % 234.23/234.54 (step @p297 :rule cnf_or_pos :args (@t210)) % 234.23/234.54 (step @p298 :rule reordering :premises (@p297) :args ((or @t160 @t187 @t202 (not @t210)))) % 234.23/234.54 (step @p299 :rule chain_m_resolution :premises (@p298 @p195 @p253 @p296) :args (@t202 @t178 (@list @t152 @t174 @t210))) % 234.23/234.54 (step @p300 :rule cnf_or_pos :args (@t207)) % 234.23/234.54 (step @p301 :rule reordering :premises (@p300) :args ((or @t180 @t203 @t206 (not @t207)))) % 234.23/234.54 (step @p302 :rule chain_m_resolution :premises (@p301 @p192 @p299 @p295) :args (@t206 @t178 (@list @t149 @t202 @t207))) % 234.23/234.54 (step @p303 :rule symm :premises (@p302)) % 234.23/234.54 (step @p304 :rule instantiate :premises (@p203) :args ((@list @t153))) % 234.23/234.54 (step @p305 :rule cnf_or_pos :args (@t213)) % 234.23/234.54 (step @p306 :rule reordering :premises (@p305) :args ((or @t187 @t212 (not @t213)))) % 234.23/234.54 (step @p307 :rule chain_m_resolution :premises (@p306 @p253 @p304) :args (@t212 @t162 (@list @t174 @t213))) % 234.23/234.54 (step @p308 :rule symm :premises (@p307)) % 234.23/234.54 (step @p309 :rule cong :premises (@p308 @p248) :args (@t214)) % 234.23/234.54 (step @p310 :rule refl :args (tptp.sk5)) % 234.23/234.54 (step @p311 :rule cong :premises (@p310 @p309) :args ((tptp.cons tptp.sk5 @t214))) % 234.23/234.54 (step @p312 :rule symm :premises (@p309)) % 234.23/234.54 (step @p313 :rule eq-symm :args (@t215 @t197)) % 234.23/234.54 (step @p314 :rule refl :args (@t160)) % 234.23/234.54 (step @p315 :rule refl :args (@t176)) % 234.23/234.54 (step @p316 :rule nary_cong :premises (@p315 @p314 @p313) :args (@t216)) % 234.23/234.54 (step @p317 :rule cong :premises (@p287 @p316) :args ((=> @t205 @t216))) % 234.23/234.54 (assume-push @p354 @t205) % 234.23/234.54 (step @p319 :rule instantiate :premises (@p282) :args ((@list tptp.sk6 tptp.sk8))) % 234.23/234.54 (step-pop @p355 :rule scope :premises (@p319)) % 234.23/234.54 (step @p320 :rule process_scope :premises (@p355) :args (@t216)) % 234.23/234.54 (step @p322 :rule eq_resolve :premises (@p320 @p317)) % 234.23/234.54 (step @p323 :rule implies_elim :premises (@p322)) % 234.23/234.54 (step @p324 :rule chain_m_resolution :premises (@p323 @p282) :args (@t218 @t208 @t209)) % 234.23/234.54 (step @p325 :rule cnf_or_pos :args (@t218)) % 234.23/234.54 (step @p326 :rule reordering :premises (@p325) :args ((or @t176 @t160 @t217 (not @t218)))) % 234.23/234.54 (step @p327 :rule chain_m_resolution :premises (@p326 @p193 @p195 @p324) :args (@t217 @t178 (@list @t150 @t152 @t218))) % 234.23/234.54 (step @p328 :rule symm :premises (@p327)) % 234.23/234.54 (step @p329 :rule refl :args (tptp.sk6)) % 234.23/234.54 (step @p330 :rule cong :premises (@p329 @p208) :args (@t219)) % 234.23/234.54 (step @p331 :rule trans :premises (@p330 @p328 @p312)) % 234.23/234.54 (step @p332 :rule cong :premises (@p310 @p331) :args (@t220)) % 234.23/234.54 (step @p333 :rule trans :premises (@p332 @p311 @p303 @p276)) % 234.23/234.54 (step @p334 :rule refl :args (tptp.sk7)) % 234.23/234.54 (step @p335 :rule cong :premises (@p334 @p333) :args (@t221)) % 234.23/234.54 (step @p336 :rule trans :premises (@p335 @p271 @p262)) % 234.23/234.54 (step @p337 :rule cong :premises (@p336) :args (@t222)) % 234.23/234.54 (step @p338 :rule trans :premises (@p337 @p247)) % 234.23/234.54 (step @p339 :rule true_elim :premises (@p338)) % 234.23/234.54 (step @p340 :rule refl :args (@t156)) % 234.23/234.54 (step @p341 :rule cong :premises (@p188 @p340) :args ((= tptp.sk1 @t156))) % 234.23/234.54 (step @p342 :rule eq_resolve :premises (@p244 @p341)) % 234.23/234.54 (step @p343 :rule cong :premises (@p342) :args (@t147)) % 234.23/234.54 (step @p344 :rule eq_resolve :premises (@p190 @p343)) % 234.23/234.54 (step @p345 :rule true_intro :premises (@p344)) % 234.23/234.54 (step @p346 :rule cong :premises (@p336) :args (@t223)) % 234.23/234.54 (step @p347 :rule trans :premises (@p346 @p345)) % 234.23/234.54 (step @p348 :rule true_elim :premises (@p347)) % 234.23/234.54 (step @p349 :rule cnf_or_pos :args (@t227)) % 234.23/234.54 (step @p350 :rule reordering :premises (@p349) :args ((or @t157 @t180 @t176 @t185 @t226 @t225 @t224 (not @t227)))) % 234.23/234.54 (step @p351 false :rule chain_m_resolution :premises (@p350 @p348 @p339 @p243 @p211 @p197 @p194 @p193 @p192) :args (false (@list false false false false true false false false) (@list @t223 @t222 @t227 @t163 @t157 @t151 @t150 @t149))) % 234.23/234.54 ) % 234.23/234.55 % SZS output end Proof % 234.23/234.55 % cvc5 exiting %------------------------------------------------------------------------------