%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC083-1 : 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 : n023.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 08:57:59 AM UTC 2026 % Result : Unsatisfiable 33.91s 34.29s % Output : Proof 33.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC083-1 : 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 : n023.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 19:14:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.61/15.87 --- Run --no-e-matching --full-saturate-quant at 6... % 21.73/21.91 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.72/27.95 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.87/34.05 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.91/34.29 % SZS status Unsatisfiable % 33.91/34.29 % SZS output start Proof % 33.91/34.30 ( % 33.91/34.30 (declare-sort $$unsorted 0) % 33.91/34.30 (declare-const tptp.sk6 $$unsorted) % 33.91/34.30 (declare-const tptp.sk5 $$unsorted) % 33.91/34.30 (declare-const tptp.sk4 $$unsorted) % 33.91/34.30 (declare-const tptp.sk2 $$unsorted) % 33.91/34.30 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.sk7 $$unsorted) % 33.91/34.30 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.nil $$unsorted) % 33.91/34.30 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.sk1 $$unsorted) % 33.91/34.30 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.skac2 $$unsorted) % 33.91/34.30 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.sk3 $$unsorted) % 33.91/34.30 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.ssList (-> $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skac3 $$unsorted) % 33.91/34.30 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 33.91/34.30 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 33.91/34.30 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 33.91/34.30 (define @t1 () (tptp.ssList tptp.nil)) % 33.91/34.30 (define @t2 () (@var "U" $$unsorted)) % 33.91/34.30 (define @t3 () (tptp.skaf83 @t2)) % 33.91/34.30 (define @t4 () (@list @t2)) % 33.91/34.30 (define @t5 () (tptp.skaf82 @t2)) % 33.91/34.30 (define @t6 () (tptp.skaf81 @t2)) % 33.91/34.30 (define @t7 () (tptp.skaf80 @t2)) % 33.91/34.30 (define @t8 () (tptp.skaf79 @t2)) % 33.91/34.30 (define @t9 () (tptp.skaf78 @t2)) % 33.91/34.30 (define @t10 () (tptp.skaf77 @t2)) % 33.91/34.30 (define @t11 () (tptp.skaf76 @t2)) % 33.91/34.30 (define @t12 () (tptp.skaf75 @t2)) % 33.91/34.30 (define @t13 () (tptp.skaf74 @t2)) % 33.91/34.30 (define @t14 () (tptp.skaf73 @t2)) % 33.91/34.30 (define @t15 () (tptp.skaf72 @t2)) % 33.91/34.30 (define @t16 () (tptp.skaf71 @t2)) % 33.91/34.30 (define @t17 () (tptp.skaf70 @t2)) % 33.91/34.30 (define @t18 () (tptp.skaf69 @t2)) % 33.91/34.30 (define @t19 () (tptp.skaf68 @t2)) % 33.91/34.30 (define @t20 () (tptp.skaf67 @t2)) % 33.91/34.30 (define @t21 () (tptp.skaf66 @t2)) % 33.91/34.30 (define @t22 () (tptp.skaf65 @t2)) % 33.91/34.30 (define @t23 () (tptp.skaf64 @t2)) % 33.91/34.30 (define @t24 () (tptp.skaf63 @t2)) % 33.91/34.30 (define @t25 () (tptp.skaf62 @t2)) % 33.91/34.30 (define @t26 () (tptp.skaf61 @t2)) % 33.91/34.30 (define @t27 () (tptp.skaf60 @t2)) % 33.91/34.30 (define @t28 () (tptp.skaf59 @t2)) % 33.91/34.30 (define @t29 () (tptp.skaf58 @t2)) % 33.91/34.30 (define @t30 () (tptp.skaf57 @t2)) % 33.91/34.30 (define @t31 () (tptp.skaf56 @t2)) % 33.91/34.30 (define @t32 () (tptp.skaf55 @t2)) % 33.91/34.30 (define @t33 () (tptp.skaf54 @t2)) % 33.91/34.30 (define @t34 () (tptp.skaf53 @t2)) % 33.91/34.30 (define @t35 () (tptp.skaf52 @t2)) % 33.91/34.30 (define @t36 () (tptp.skaf51 @t2)) % 33.91/34.30 (define @t37 () (tptp.skaf50 @t2)) % 33.91/34.30 (define @t38 () (tptp.skaf49 @t2)) % 33.91/34.30 (define @t39 () (tptp.skaf44 @t2)) % 33.91/34.30 (define @t40 () (@var "V" $$unsorted)) % 33.91/34.30 (define @t41 () (@list @t2 @t40)) % 33.91/34.30 (define @t42 () (tptp.skaf47 @t2 @t40)) % 33.91/34.30 (define @t43 () (tptp.skaf46 @t2 @t40)) % 33.91/34.30 (define @t44 () (tptp.skaf45 @t2 @t40)) % 33.91/34.30 (define @t45 () (tptp.skaf42 @t2 @t40)) % 33.91/34.30 (define @t46 () (not (tptp.ssItem @t2))) % 33.91/34.30 (define @t47 () (not (tptp.ssList @t2))) % 33.91/34.30 (define @t48 () (tptp.cons @t2 tptp.nil)) % 33.91/34.30 (define @t49 () (tptp.ssItem @t40)) % 33.91/34.30 (define @t50 () (tptp.duplicatefreeP @t2)) % 33.91/34.30 (define @t51 () (tptp.app @t2 tptp.nil)) % 33.91/34.30 (define @t52 () (or @t47 (= @t51 @t2))) % 33.91/34.30 (define @t53 () (forall @t4 @t52)) % 33.91/34.30 (define @t54 () (tptp.app tptp.nil @t2)) % 33.91/34.30 (define @t55 () (or @t47 (= @t54 @t2))) % 33.91/34.30 (define @t56 () (forall @t4 @t55)) % 33.91/34.30 (define @t57 () (= tptp.nil @t2)) % 33.91/34.30 (define @t58 () (tptp.tl @t2)) % 33.91/34.30 (define @t59 () (tptp.hd @t2)) % 33.91/34.30 (define @t60 () (tptp.segmentP tptp.nil @t2)) % 33.91/34.30 (define @t61 () (not @t57)) % 33.91/34.30 (define @t62 () (tptp.rearsegP tptp.nil @t2)) % 33.91/34.30 (define @t63 () (tptp.frontsegP tptp.nil @t2)) % 33.91/34.30 (define @t64 () (tptp.app @t40 @t2)) % 33.91/34.30 (define @t65 () (not (tptp.ssList @t40))) % 33.91/34.30 (define @t66 () (tptp.cons @t2 @t40)) % 33.91/34.30 (define @t67 () (tptp.cyclefreeP @t2)) % 33.91/34.30 (define @t68 () (tptp.equalelemsP @t2)) % 33.91/34.30 (define @t69 () (tptp.strictorderedP @t2)) % 33.91/34.30 (define @t70 () (tptp.totalorderedP @t2)) % 33.91/34.30 (define @t71 () (tptp.strictorderP @t2)) % 33.91/34.30 (define @t72 () (tptp.totalorderP @t2)) % 33.91/34.30 (define @t73 () (= @t40 @t2)) % 33.91/34.30 (define @t74 () (tptp.neq @t40 @t2)) % 33.91/34.30 (define @t75 () (or @t47 @t65 @t74 @t73)) % 33.91/34.30 (define @t76 () (forall @t41 @t75)) % 33.91/34.30 (define @t77 () (not @t49)) % 33.91/34.30 (define @t78 () (tptp.leq @t2 @t40)) % 33.91/34.30 (define @t79 () (tptp.lt @t2 @t40)) % 33.91/34.30 (define @t80 () (not @t79)) % 33.91/34.30 (define @t81 () (tptp.lt @t40 @t2)) % 33.91/34.30 (define @t82 () (not (tptp.gt @t2 @t40))) % 33.91/34.30 (define @t83 () (tptp.gt @t40 @t2)) % 33.91/34.30 (define @t84 () (tptp.leq @t40 @t2)) % 33.91/34.30 (define @t85 () (not (tptp.geq @t2 @t40))) % 33.91/34.30 (define @t86 () (tptp.geq @t40 @t2)) % 33.91/34.30 (define @t87 () (not @t78)) % 33.91/34.30 (define @t88 () (= @t2 @t40)) % 33.91/34.30 (define @t89 () (not @t88)) % 33.91/34.30 (define @t90 () (tptp.cons @t40 @t2)) % 33.91/34.30 (define @t91 () (not (tptp.neq @t2 @t40))) % 33.91/34.30 (define @t92 () (tptp.app @t2 @t40)) % 33.91/34.30 (define @t93 () (= @t92 tptp.nil)) % 33.91/34.30 (define @t94 () (not @t93)) % 33.91/34.30 (define @t95 () (= tptp.nil @t40)) % 33.91/34.30 (define @t96 () (tptp.hd @t40)) % 33.91/34.30 (define @t97 () (tptp.strictorderedP @t40)) % 33.91/34.30 (define @t98 () (tptp.strictorderedP @t66)) % 33.91/34.30 (define @t99 () (not @t98)) % 33.91/34.30 (define @t100 () (tptp.totalorderedP @t40)) % 33.91/34.30 (define @t101 () (tptp.totalorderedP @t66)) % 33.91/34.30 (define @t102 () (not @t101)) % 33.91/34.30 (define @t103 () (not (tptp.segmentP @t2 @t40))) % 33.91/34.30 (define @t104 () (not (tptp.rearsegP @t2 @t40))) % 33.91/34.30 (define @t105 () (not (tptp.frontsegP @t2 @t40))) % 33.91/34.30 (define @t106 () (not @t84)) % 33.91/34.30 (define @t107 () (tptp.tl @t40)) % 33.91/34.30 (define @t108 () (tptp.lt @t2 @t96)) % 33.91/34.30 (define @t109 () (tptp.leq @t2 @t96)) % 33.91/34.30 (define @t110 () (@var "W" $$unsorted)) % 33.91/34.30 (define @t111 () (tptp.app @t110 @t2)) % 33.91/34.30 (define @t112 () (not (tptp.ssList @t110))) % 33.91/34.30 (define @t113 () (@list @t2 @t40 @t110)) % 33.91/34.30 (define @t114 () (tptp.app @t2 @t110)) % 33.91/34.30 (define @t115 () (tptp.cons @t40 @t110)) % 33.91/34.30 (define @t116 () (tptp.cons @t110 @t2)) % 33.91/34.30 (define @t117 () (not (tptp.ssItem @t110))) % 33.91/34.30 (define @t118 () (not (tptp.memberP @t2 @t40))) % 33.91/34.30 (define @t119 () (not (= @t92 @t110))) % 33.91/34.30 (define @t120 () (tptp.lt @t2 @t110)) % 33.91/34.30 (define @t121 () (not (tptp.lt @t40 @t110))) % 33.91/34.30 (define @t122 () (tptp.app @t110 @t40)) % 33.91/34.30 (define @t123 () (= @t40 @t110)) % 33.91/34.30 (define @t124 () (= @t2 @t110)) % 33.91/34.30 (define @t125 () (tptp.memberP @t40 @t110)) % 33.91/34.30 (define @t126 () (@var "X" $$unsorted)) % 33.91/34.30 (define @t127 () (not (tptp.ssList @t126))) % 33.91/34.30 (define @t128 () (tptp.cons @t110 @t126)) % 33.91/34.30 (define @t129 () (not (= @t66 @t128))) % 33.91/34.30 (define @t130 () (@list @t2 @t40 @t110 @t126)) % 33.91/34.30 (define @t131 () (not (tptp.frontsegP @t66 @t128))) % 33.91/34.30 (define @t132 () (tptp.app @t2 @t115)) % 33.91/34.30 (define @t133 () (not (tptp.ssItem @t126))) % 33.91/34.30 (define @t134 () (@var "Y" $$unsorted)) % 33.91/34.30 (define @t135 () (not (tptp.ssList @t134))) % 33.91/34.30 (define @t136 () (@list @t2 @t40 @t110 @t126 @t134)) % 33.91/34.30 (define @t137 () (tptp.lt @t40 @t126)) % 33.91/34.30 (define @t138 () (@var "Z" $$unsorted)) % 33.91/34.30 (define @t139 () (not (tptp.ssList @t138))) % 33.91/34.30 (define @t140 () (not (= (tptp.app @t132 (tptp.cons @t126 @t134)) @t138))) % 33.91/34.30 (define @t141 () (@list @t2 @t40 @t110 @t126 @t134 @t138)) % 33.91/34.30 (define @t142 () (tptp.leq @t40 @t126)) % 33.91/34.30 (define @t143 () (tptp.ssList tptp.sk1)) % 33.91/34.30 (define @t144 () (tptp.ssList tptp.sk2)) % 33.91/34.30 (define @t145 () (tptp.neq tptp.sk2 tptp.nil)) % 33.91/34.30 (define @t146 () (@var "A" $$unsorted)) % 33.91/34.30 (define @t147 () (tptp.segmentP tptp.sk1 @t146)) % 33.91/34.30 (define @t148 () (not @t147)) % 33.91/34.30 (define @t149 () (tptp.segmentP tptp.sk2 @t146)) % 33.91/34.30 (define @t150 () (not @t149)) % 33.91/34.30 (define @t151 () (not (tptp.neq @t146 tptp.nil))) % 33.91/34.30 (define @t152 () (not (tptp.ssList @t146))) % 33.91/34.30 (define @t153 () (or @t152 @t151 @t150 @t148)) % 33.91/34.30 (define @t154 () (forall (@list @t146) @t153)) % 33.91/34.30 (define @t155 () (tptp.ssList tptp.sk5)) % 33.91/34.30 (define @t156 () (tptp.ssList tptp.sk6)) % 33.91/34.30 (define @t157 () (tptp.ssList tptp.sk7)) % 33.91/34.30 (define @t158 () (tptp.app tptp.sk5 tptp.sk6)) % 33.91/34.30 (define @t159 () (tptp.app @t158 tptp.sk7)) % 33.91/34.30 (define @t160 () (tptp.app tptp.sk5 tptp.sk7)) % 33.91/34.30 (define @t161 () (@list tptp.sk5)) % 33.91/34.30 (define @t162 () (tptp.segmentP tptp.sk5 tptp.sk5)) % 33.91/34.30 (define @t163 () (not @t155)) % 33.91/34.30 (define @t164 () (or @t163 @t162)) % 33.91/34.30 (define @t165 () (@list false false)) % 33.91/34.30 (define @t166 () (= tptp.sk5 (tptp.app tptp.sk5 tptp.nil))) % 33.91/34.30 (define @t167 () (or @t163 @t166)) % 33.91/34.30 (define @t168 () (@list tptp.sk7)) % 33.91/34.30 (define @t169 () (tptp.segmentP tptp.sk7 tptp.sk7)) % 33.91/34.30 (define @t170 () (not @t157)) % 33.91/34.30 (define @t171 () (or @t170 @t169)) % 33.91/34.30 (define @t172 () (tptp.ssList @t158)) % 33.91/34.30 (define @t173 () (not @t156)) % 33.91/34.30 (define @t174 () (or @t173 @t163 @t172)) % 33.91/34.30 (define @t175 () (tptp.app @t159 tptp.nil)) % 33.91/34.30 (define @t176 () (tptp.segmentP @t175 tptp.sk7)) % 33.91/34.30 (define @t177 () (not @t172)) % 33.91/34.30 (define @t178 () (not @t1)) % 33.91/34.30 (define @t179 () (not @t169)) % 33.91/34.30 (define @t180 () (or @t179 @t178 @t177 @t170 @t170 @t176)) % 33.91/34.30 (define @t181 () (@list false false false false false)) % 33.91/34.30 (define @t182 () (= @t159 @t175)) % 33.91/34.30 (define @t183 () (tptp.ssList @t159)) % 33.91/34.30 (define @t184 () (not @t183)) % 33.91/34.30 (define @t185 () (or @t184 @t182)) % 33.91/34.30 (define @t186 () (tptp.segmentP @t159 tptp.sk7)) % 33.91/34.30 (define @t187 () (tptp.app @t160 tptp.nil)) % 33.91/34.30 (define @t188 () (tptp.segmentP @t187 tptp.sk7)) % 33.91/34.30 (define @t189 () (or @t179 @t178 @t163 @t170 @t170 @t188)) % 33.91/34.30 (define @t190 () (@list @t160)) % 33.91/34.30 (define @t191 () (= @t160 @t187)) % 33.91/34.30 (define @t192 () (tptp.ssList @t160)) % 33.91/34.30 (define @t193 () (not @t192)) % 33.91/34.30 (define @t194 () (or @t193 @t191)) % 33.91/34.30 (define @t195 () (tptp.segmentP @t160 tptp.sk7)) % 33.91/34.30 (define @t196 () (not @t186)) % 33.91/34.30 (define @t197 () (not @t195)) % 33.91/34.30 (define @t198 () (tptp.neq tptp.sk7 tptp.nil)) % 33.91/34.30 (define @t199 () (not @t198)) % 33.91/34.30 (define @t200 () (or @t170 @t199 @t197 @t196)) % 33.91/34.30 (define @t201 () (@list false false false false)) % 33.91/34.30 (define @t202 () (= tptp.nil tptp.sk7)) % 33.91/34.30 (define @t203 () (or @t178 @t170 @t198 @t202)) % 33.91/34.30 (define @t204 () (tptp.segmentP tptp.sk5 @t160)) % 33.91/34.30 (define @t205 () (tptp.app tptp.nil tptp.sk5)) % 33.91/34.30 (define @t206 () (tptp.segmentP (tptp.app @t205 tptp.sk6) @t160)) % 33.91/34.30 (define @t207 () (not @t204)) % 33.91/34.30 (define @t208 () (or @t207 @t173 @t178 @t193 @t163 @t206)) % 33.91/34.30 (define @t209 () (= tptp.sk5 @t205)) % 33.91/34.30 (define @t210 () (or @t163 @t209)) % 33.91/34.30 (define @t211 () (= tptp.sk6 (tptp.app tptp.sk6 tptp.nil))) % 33.91/34.30 (define @t212 () (or @t173 @t211)) % 33.91/34.30 (define @t213 () (tptp.app tptp.sk6 tptp.sk7)) % 33.91/34.30 (define @t214 () (tptp.app tptp.sk5 @t213)) % 33.91/34.30 (define @t215 () (= @t159 @t214)) % 33.91/34.30 (define @t216 () (or @t170 @t173 @t163 @t215)) % 33.91/34.30 (define @t217 () (tptp.segmentP @t159 @t160)) % 33.91/34.30 (define @t218 () (tptp.segmentP @t160 @t160)) % 33.91/34.30 (define @t219 () (or @t193 @t218)) % 33.91/34.30 (define @t220 () (not @t217)) % 33.91/34.30 (define @t221 () (not @t218)) % 33.91/34.30 (define @t222 () (tptp.neq @t160 tptp.nil)) % 33.91/34.30 (define @t223 () (not @t222)) % 33.91/34.30 (define @t224 () (or @t193 @t223 @t221 @t220)) % 33.91/34.30 (assume @p1 (tptp.equalelemsP tptp.nil)) % 33.91/34.30 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 33.91/34.30 (assume @p3 (tptp.strictorderedP tptp.nil)) % 33.91/34.30 (assume @p4 (tptp.totalorderedP tptp.nil)) % 33.91/34.30 (assume @p5 (tptp.strictorderP tptp.nil)) % 33.91/34.30 (assume @p6 (tptp.totalorderP tptp.nil)) % 33.91/34.30 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 33.91/34.30 (assume @p8 @t1) % 33.91/34.30 (assume @p9 (tptp.ssItem tptp.skac3)) % 33.91/34.30 (assume @p10 (tptp.ssItem tptp.skac2)) % 33.91/34.30 (assume @p11 (not (tptp.singletonP tptp.nil))) % 33.91/34.30 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 33.91/34.30 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 33.91/34.30 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 33.91/34.30 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 33.91/34.30 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 33.91/34.30 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 33.91/34.30 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 33.91/34.30 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 33.91/34.30 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 33.91/34.30 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 33.91/34.30 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 33.91/34.30 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 33.91/34.30 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 33.91/34.30 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 33.91/34.30 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 33.91/34.30 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 33.91/34.30 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 33.91/34.30 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 33.91/34.30 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 33.91/34.30 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 33.91/34.30 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 33.91/34.30 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 33.91/34.30 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 33.91/34.30 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 33.91/34.30 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 33.91/34.30 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 33.91/34.30 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 33.91/34.30 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 33.91/34.30 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 33.91/34.30 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 33.91/34.30 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 33.91/34.30 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 33.91/34.30 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 33.91/34.30 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 33.91/34.30 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 33.91/34.30 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 33.91/34.30 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 33.91/34.30 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 33.91/34.30 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 33.91/34.30 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 33.91/34.30 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 33.91/34.30 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 33.91/34.30 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 33.91/34.30 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 33.91/34.30 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 33.91/34.30 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 33.91/34.30 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 33.91/34.30 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 33.91/34.30 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 33.91/34.30 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 33.91/34.30 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 33.91/34.30 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 33.91/34.30 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 33.91/34.30 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 33.91/34.30 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 33.91/34.30 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 33.91/34.30 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 33.91/34.30 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 33.91/34.30 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 33.91/34.30 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 33.91/34.30 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 33.91/34.30 (assume @p73 @t53) % 33.91/34.30 (assume @p74 @t56) % 33.91/34.30 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t58) @t57))) % 33.91/34.30 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t59) @t57))) % 33.91/34.30 (assume @p77 (forall @t4 (or @t61 @t47 @t60))) % 33.91/34.30 (assume @p78 (forall @t4 (or (not @t60) @t47 @t57))) % 33.91/34.30 (assume @p79 (forall @t4 (or @t61 @t47 @t62))) % 33.91/34.30 (assume @p80 (forall @t4 (or (not @t62) @t47 @t57))) % 33.91/34.30 (assume @p81 (forall @t4 (or @t61 @t47 @t63))) % 33.91/34.30 (assume @p82 (forall @t4 (or (not @t63) @t47 @t57))) % 33.91/34.30 (assume @p83 (forall @t41 (or @t47 @t65 (tptp.ssList @t64)))) % 33.91/34.30 (assume @p84 (forall @t41 (or @t46 @t65 (tptp.ssList @t66)))) % 33.91/34.30 (assume @p85 (forall @t4 (or @t47 @t67 (tptp.leq @t37 @t38)))) % 33.91/34.30 (assume @p86 (forall @t4 (or @t47 @t67 (tptp.leq @t38 @t37)))) % 33.91/34.30 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t68))) % 33.91/34.30 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t69))) % 33.91/34.30 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t70))) % 33.91/34.30 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t71))) % 33.91/34.30 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t71))) % 33.91/34.30 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t72))) % 33.91/34.30 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t72))) % 33.91/34.30 (assume @p94 (forall @t41 (or @t46 @t65 (= (tptp.tl @t66) @t40)))) % 33.91/34.30 (assume @p95 (forall @t41 (or @t46 @t65 (= (tptp.hd @t66) @t2)))) % 33.91/34.30 (assume @p96 (forall @t41 (or (not (= @t66 tptp.nil)) @t46 @t65))) % 33.91/34.30 (assume @p97 (forall @t41 (or (not (= @t66 @t40)) @t46 @t65))) % 33.91/34.30 (assume @p98 @t76) % 33.91/34.30 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 33.91/34.30 (assume @p100 (forall @t41 (or @t46 @t77 @t74 @t73))) % 33.91/34.30 (assume @p101 (forall @t41 (or @t80 @t77 @t46 @t78))) % 33.91/34.30 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t59 @t58) @t2) @t57))) % 33.91/34.30 (assume @p103 (forall @t41 (or @t82 @t77 @t46 @t81))) % 33.91/34.30 (assume @p104 (forall @t41 (or @t80 @t46 @t77 @t83))) % 33.91/34.30 (assume @p105 (forall @t41 (or @t85 @t77 @t46 @t84))) % 33.91/34.30 (assume @p106 (forall @t41 (or @t87 @t46 @t77 @t86))) % 33.91/34.30 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t57))) % 33.91/34.30 (assume @p108 (forall @t41 (or @t82 (not @t83) @t46 @t77))) % 33.91/34.30 (assume @p109 (forall @t41 (or @t89 @t80 @t77 @t46))) % 33.91/34.30 (assume @p110 (forall @t41 (or @t61 @t47 @t77 (tptp.strictorderedP @t90)))) % 33.91/34.30 (assume @p111 (forall @t41 (or @t61 @t47 @t77 (tptp.totalorderedP @t90)))) % 33.91/34.30 (assume @p112 (forall @t41 (or @t80 (not @t81) @t46 @t77))) % 33.91/34.30 (assume @p113 (forall @t41 (or @t89 @t91 @t65 @t47))) % 33.91/34.30 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t65 (tptp.singletonP @t40)))) % 33.91/34.30 (assume @p115 (forall @t41 (or @t89 @t91 @t77 @t46))) % 33.91/34.30 (assume @p116 (forall @t41 (or @t94 @t65 @t47 @t57))) % 33.91/34.30 (assume @p117 (forall @t41 (or @t94 @t65 @t47 @t95))) % 33.91/34.30 (assume @p118 (forall @t41 (or @t46 @t65 (= (tptp.app @t48 @t40) @t66)))) % 33.91/34.30 (assume @p119 (forall @t41 (or @t87 @t77 @t46 @t79 @t88))) % 33.91/34.30 (assume @p120 (forall @t41 (or @t47 @t65 @t95 (= (tptp.hd @t64) @t96)))) % 33.91/34.30 (assume @p121 (forall @t41 (or @t99 @t65 @t46 @t97 @t95))) % 33.91/34.30 (assume @p122 (forall @t41 (or @t102 @t65 @t46 @t100 @t95))) % 33.91/34.30 (assume @p123 (forall @t41 (or @t85 (not @t86) @t46 @t77 @t73))) % 33.91/34.30 (assume @p124 (forall @t41 (or @t103 (not (tptp.segmentP @t40 @t2)) @t47 @t65 @t73))) % 33.91/34.30 (assume @p125 (forall @t41 (or @t104 (not (tptp.rearsegP @t40 @t2)) @t47 @t65 @t73))) % 33.91/34.30 (assume @p126 (forall @t41 (or @t105 (not (tptp.frontsegP @t40 @t2)) @t47 @t65 @t73))) % 33.91/34.30 (assume @p127 (forall @t41 (or @t87 @t106 @t46 @t77 @t73))) % 33.91/34.30 (assume @p128 (forall @t41 (or @t104 @t65 @t47 (= (tptp.app @t43 @t40) @t2)))) % 33.91/34.30 (assume @p129 (forall @t41 (or @t105 @t65 @t47 (= (tptp.app @t40 @t44) @t2)))) % 33.91/34.30 (assume @p130 (forall @t41 (or @t47 @t65 @t95 (= (tptp.tl @t64) (tptp.app @t107 @t2))))) % 33.91/34.30 (assume @p131 (forall @t41 (or @t99 @t65 @t46 @t108 @t95))) % 33.91/34.30 (assume @p132 (forall @t41 (or @t102 @t65 @t46 @t109 @t95))) % 33.91/34.30 (assume @p133 (forall @t113 (or @t104 @t112 @t65 @t47 (tptp.rearsegP @t111 @t40)))) % 33.91/34.30 (assume @p134 (forall @t113 (or @t105 @t112 @t65 @t47 (tptp.frontsegP @t114 @t40)))) % 33.91/34.30 (assume @p135 (forall @t113 (or @t89 @t112 @t77 @t46 (tptp.memberP @t115 @t2)))) % 33.91/34.30 (assume @p136 (forall @t113 (or @t118 @t47 @t117 @t77 (tptp.memberP @t116 @t40)))) % 33.91/34.30 (assume @p137 (forall @t113 (or @t118 @t112 @t47 @t77 (tptp.memberP @t114 @t40)))) % 33.91/34.30 (assume @p138 (forall @t113 (or @t118 @t47 @t112 @t77 (tptp.memberP @t111 @t40)))) % 33.91/34.30 (assume @p139 (forall @t4 (or @t47 @t68 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 33.91/34.30 (assume @p140 (forall @t113 (or @t119 @t47 @t65 @t112 (tptp.rearsegP @t110 @t40)))) % 33.91/34.30 (assume @p141 (forall @t113 (or @t119 @t65 @t47 @t112 (tptp.frontsegP @t110 @t2)))) % 33.91/34.30 (assume @p142 (forall @t41 (or @t61 (not @t95) @t65 @t47 @t93))) % 33.91/34.30 (assume @p143 (forall @t113 (or @t82 (not (tptp.gt @t40 @t110)) @t117 @t77 @t46 (tptp.gt @t2 @t110)))) % 33.91/34.30 (assume @p144 (forall @t113 (or @t87 @t121 @t117 @t77 @t46 @t120))) % 33.91/34.30 (assume @p145 (forall @t113 (or @t85 (not (tptp.geq @t40 @t110)) @t117 @t77 @t46 (tptp.geq @t2 @t110)))) % 33.91/34.30 (assume @p146 (forall @t113 (or @t47 @t65 @t112 (= (tptp.app @t122 @t2) (tptp.app @t110 @t64))))) % 33.91/34.30 (assume @p147 (forall @t113 (or (not (= @t92 @t114)) @t65 @t47 @t112 @t123))) % 33.91/34.30 (assume @p148 (forall @t113 (or (not (= @t92 @t122)) @t47 @t65 @t112 @t124))) % 33.91/34.30 (assume @p149 (forall @t113 (or @t103 (not (tptp.segmentP @t40 @t110)) @t112 @t65 @t47 (tptp.segmentP @t2 @t110)))) % 33.91/34.30 (assume @p150 (forall @t113 (or @t104 (not (tptp.rearsegP @t40 @t110)) @t112 @t65 @t47 (tptp.rearsegP @t2 @t110)))) % 33.91/34.30 (assume @p151 (forall @t113 (or @t105 (not (tptp.frontsegP @t40 @t110)) @t112 @t65 @t47 (tptp.frontsegP @t2 @t110)))) % 33.91/34.30 (assume @p152 (forall @t113 (or @t80 @t121 @t117 @t77 @t46 @t120))) % 33.91/34.30 (assume @p153 (forall @t113 (or @t87 (not (tptp.leq @t40 @t110)) @t117 @t77 @t46 (tptp.leq @t2 @t110)))) % 33.91/34.30 (assume @p154 (forall @t113 (or @t46 @t65 @t112 (= (tptp.cons @t2 (tptp.app @t40 @t110)) (tptp.app @t66 @t110))))) % 33.91/34.30 (assume @p155 (forall @t113 (or (not (tptp.memberP @t92 @t110)) @t65 @t47 @t117 @t125 (tptp.memberP @t2 @t110)))) % 33.91/34.30 (assume @p156 (forall @t41 (or (not @t109) (not @t100) @t65 @t46 @t101 @t95))) % 33.91/34.30 (assume @p157 (forall @t41 (or (not @t108) (not @t97) @t65 @t46 @t98 @t95))) % 33.91/34.30 (assume @p158 (forall @t113 (or (not (tptp.memberP @t66 @t110)) @t65 @t46 @t117 @t125 (= @t110 @t2)))) % 33.91/34.30 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 33.91/34.30 (assume @p160 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 33.91/34.30 (assume @p161 (forall @t4 (or @t47 @t70 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 33.91/34.30 (assume @p162 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 33.91/34.30 (assume @p163 (forall @t4 (or @t47 @t72 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 33.91/34.30 (assume @p164 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 33.91/34.30 (assume @p165 (forall @t41 (or @t103 @t65 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 33.91/34.30 (assume @p166 (forall @t41 (or @t118 @t77 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 33.91/34.30 (assume @p167 (forall @t130 (or @t129 @t117 @t46 @t127 @t65 @t124))) % 33.91/34.30 (assume @p168 (forall @t130 (or @t129 @t117 @t46 @t127 @t65 (= @t126 @t40)))) % 33.91/34.30 (assume @p169 (forall @t130 (or @t103 @t112 @t127 @t65 @t47 (tptp.segmentP (tptp.app (tptp.app @t126 @t2) @t110) @t40)))) % 33.91/34.30 (assume @p170 (forall @t130 (or (not (= (tptp.app @t92 @t110) @t126)) @t112 @t47 @t65 @t127 (tptp.segmentP @t126 @t40)))) % 33.91/34.30 (assume @p171 (forall @t130 (or @t131 @t127 @t65 @t117 @t46 (tptp.frontsegP @t40 @t126)))) % 33.91/34.30 (assume @p172 (forall @t130 (or (not (= @t132 @t126)) @t112 @t47 @t77 @t127 (tptp.memberP @t126 @t40)))) % 33.91/34.30 (assume @p173 (forall @t130 (or @t131 @t127 @t65 @t117 @t46 @t124))) % 33.91/34.30 (assume @p174 (forall @t41 (or (not (= @t58 @t107)) (not (= @t59 @t96)) @t47 @t65 @t95 @t88 @t57))) % 33.91/34.30 (assume @p175 (forall @t130 (or @t105 (not (= @t110 @t126)) @t65 @t47 @t133 @t117 (tptp.frontsegP @t116 (tptp.cons @t126 @t40))))) % 33.91/34.30 (assume @p176 (forall @t136 (or (not (= (tptp.app @t132 (tptp.cons @t40 @t126)) @t134)) @t127 @t112 @t47 @t77 (not (tptp.duplicatefreeP @t134)) @t135))) % 33.91/34.30 (assume @p177 (forall @t136 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t128)) @t134)) @t127 @t47 @t117 @t77 (not (tptp.equalelemsP @t134)) @t135 @t123))) % 33.91/34.30 (assume @p178 (forall @t141 (or @t140 @t135 @t112 @t47 @t133 @t77 (not (tptp.strictorderedP @t138)) @t139 @t137))) % 33.91/34.30 (assume @p179 (forall @t141 (or @t140 @t135 @t112 @t47 @t133 @t77 (not (tptp.totalorderedP @t138)) @t139 @t142))) % 33.91/34.30 (assume @p180 (forall @t141 (or @t140 @t135 @t112 @t47 @t133 @t77 (not (tptp.strictorderP @t138)) @t139 @t137 (tptp.lt @t126 @t40)))) % 33.91/34.30 (assume @p181 (forall @t141 (or @t140 @t135 @t112 @t47 @t133 @t77 (not (tptp.totalorderP @t138)) @t139 @t142 (tptp.leq @t126 @t40)))) % 33.91/34.30 (assume @p182 (forall @t141 (or @t87 @t106 (not (= (tptp.app (tptp.app @t110 (tptp.cons @t2 @t126)) (tptp.cons @t40 @t134)) @t138)) @t135 @t127 @t112 @t77 @t46 (not (tptp.cyclefreeP @t138)) @t139))) % 33.91/34.30 (assume @p183 @t143) % 33.91/34.30 (assume @p184 @t144) % 33.91/34.30 (assume @p185 (tptp.ssList tptp.sk3)) % 33.91/34.30 (assume @p186 (tptp.ssList tptp.sk4)) % 33.91/34.30 (assume @p187 (= tptp.sk2 tptp.sk4)) % 33.91/34.30 (assume @p188 (= tptp.sk1 tptp.sk3)) % 33.91/34.30 (assume @p189 @t145) % 33.91/34.30 (assume @p190 @t154) % 33.91/34.30 (assume @p191 @t155) % 33.91/34.30 (assume @p192 @t156) % 33.91/34.30 (assume @p193 @t157) % 33.91/34.30 (assume @p194 (= @t159 tptp.sk3)) % 33.91/34.30 (assume @p195 (= @t160 tptp.sk4)) % 33.91/34.30 (step @p196 :rule evaluate :args ((= false true))) % 33.91/34.30 (step @p197 :rule instantiate :premises (@p169) :args ((@list tptp.sk5 @t160 tptp.sk6 tptp.nil))) % 33.91/34.30 (step @p198 :rule instantiate :premises (@p57) :args (@t161)) % 33.91/34.30 (step @p199 :rule cnf_or_pos :args (@t164)) % 33.91/34.30 (step @p200 :rule reordering :premises (@p199) :args ((or @t163 @t162 (not @t164)))) % 33.91/34.30 (step @p201 :rule chain_m_resolution :premises (@p200 @p191 @p198) :args (@t162 @t165 (@list @t155 @t164))) % 33.91/34.30 (step @p202 :rule true_intro :premises (@p201)) % 33.91/34.30 (step @p203 :rule eq-symm :args (@t51 @t2)) % 33.91/34.30 (step @p204 :rule refl :args (@t47)) % 33.91/34.30 (step @p205 :rule nary_cong :premises (@p204 @p203) :args (@t52)) % 33.91/34.30 (step @p206 :rule cong :premises (@p205) :args (@t53)) % 33.91/34.30 (step @p207 :rule eq_resolve :premises (@p73 @p206)) % 33.91/34.30 (step @p208 :rule instantiate :premises (@p207) :args (@t161)) % 33.91/34.30 (step @p209 :rule cnf_or_pos :args (@t167)) % 33.91/34.30 (step @p210 :rule reordering :premises (@p209) :args ((or @t163 @t166 (not @t167)))) % 33.91/34.30 (step @p211 :rule chain_m_resolution :premises (@p210 @p191 @p208) :args (@t166 @t165 (@list @t155 @t167))) % 33.91/34.30 (step @p212 :rule symm :premises (@p211)) % 33.91/34.30 (step @p213 :rule eq-symm :args (@t40 @t2)) % 33.91/34.30 (step @p214 :rule refl :args (@t74)) % 33.91/34.30 (step @p215 :rule refl :args (@t65)) % 33.91/34.30 (step @p216 :rule nary_cong :premises (@p204 @p215 @p214 @p213) :args (@t75)) % 33.91/34.30 (step @p217 :rule cong :premises (@p216) :args (@t76)) % 33.91/34.30 (step @p218 :rule eq_resolve :premises (@p98 @p217)) % 33.91/34.30 (step @p219 :rule instantiate :premises (@p218) :args ((@list tptp.nil tptp.sk7))) % 33.91/34.30 (step @p220 :rule refl :args (@t146)) % 33.91/34.30 (step @p221 :rule symm :premises (@p194)) % 33.91/34.30 (step @p222 :rule trans :premises (@p188 @p221)) % 33.91/34.30 (step @p223 :rule cong :premises (@p222 @p220) :args (@t147)) % 33.91/34.30 (step @p224 :rule cong :premises (@p223) :args (@t148)) % 33.91/34.30 (step @p225 :rule symm :premises (@p195)) % 33.91/34.30 (step @p226 :rule trans :premises (@p187 @p225)) % 33.91/34.30 (step @p227 :rule cong :premises (@p226 @p220) :args (@t149)) % 33.91/34.30 (step @p228 :rule cong :premises (@p227) :args (@t150)) % 33.91/34.30 (step @p229 :rule refl :args (@t151)) % 33.91/34.30 (step @p230 :rule refl :args (@t152)) % 33.91/34.30 (step @p231 :rule nary_cong :premises (@p230 @p229 @p228 @p224) :args (@t153)) % 33.91/34.30 (step @p232 :rule cong :premises (@p231) :args (@t154)) % 33.91/34.30 (step @p233 :rule eq_resolve :premises (@p190 @p232)) % 33.91/34.30 (step @p234 :rule instantiate :premises (@p233) :args (@t168)) % 33.91/34.30 (step @p235 :rule instantiate :premises (@p169) :args ((@list tptp.sk7 tptp.sk7 tptp.nil @t158))) % 33.91/34.30 (step @p236 :rule instantiate :premises (@p57) :args (@t168)) % 33.91/34.30 (step @p237 :rule cnf_or_pos :args (@t171)) % 33.91/34.30 (step @p238 :rule reordering :premises (@p237) :args ((or @t170 @t169 (not @t171)))) % 33.91/34.30 (step @p239 :rule chain_m_resolution :premises (@p238 @p193 @p236) :args (@t169 @t165 (@list @t157 @t171))) % 33.91/34.30 (step @p240 :rule instantiate :premises (@p83) :args ((@list tptp.sk6 tptp.sk5))) % 33.91/34.30 (step @p241 :rule cnf_or_pos :args (@t174)) % 33.91/34.30 (step @p242 :rule reordering :premises (@p241) :args ((or @t163 @t173 @t172 (not @t174)))) % 33.91/34.30 (step @p243 :rule chain_m_resolution :premises (@p242 @p191 @p192 @p240) :args (@t172 (@list false false false) (@list @t155 @t156 @t174))) % 33.91/34.30 (step @p244 :rule cnf_or_pos :args (@t180)) % 33.91/34.30 (step @p245 :rule factoring :premises (@p244)) % 33.91/34.30 (step @p246 :rule reordering :premises (@p245) :args ((or @t178 @t170 @t177 @t179 @t176 (not @t180)))) % 33.91/34.30 (step @p247 :rule chain_m_resolution :premises (@p246 @p8 @p193 @p243 @p239 @p235) :args (@t176 @t181 (@list @t1 @t157 @t172 @t169 @t180))) % 33.91/34.30 (step @p248 :rule true_intro :premises (@p247)) % 33.91/34.30 (step @p249 :rule refl :args (tptp.sk7)) % 33.91/34.30 (step @p250 :rule instantiate :premises (@p207) :args ((@list @t159))) % 33.91/34.30 (step @p251 :rule cong :premises (@p222) :args (@t143)) % 33.91/34.30 (step @p252 :rule eq_resolve :premises (@p183 @p251)) % 33.91/34.30 (step @p253 :rule cnf_or_pos :args (@t185)) % 33.91/34.30 (step @p254 :rule reordering :premises (@p253) :args ((or @t184 @t182 (not @t185)))) % 33.91/34.30 (step @p255 :rule chain_m_resolution :premises (@p254 @p252 @p250) :args (@t182 @t165 (@list @t183 @t185))) % 33.91/34.30 (step @p256 :rule cong :premises (@p255 @p249) :args (@t186)) % 33.91/34.30 (step @p257 :rule trans :premises (@p256 @p248)) % 33.91/34.30 (step @p258 :rule true_elim :premises (@p257)) % 33.91/34.30 (step @p259 :rule instantiate :premises (@p169) :args ((@list tptp.sk7 tptp.sk7 tptp.nil tptp.sk5))) % 33.91/34.30 (step @p260 :rule cnf_or_pos :args (@t189)) % 33.91/34.30 (step @p261 :rule factoring :premises (@p260)) % 33.91/34.30 (step @p262 :rule reordering :premises (@p261) :args ((or @t178 @t163 @t170 @t179 @t188 (not @t189)))) % 33.91/34.30 (step @p263 :rule chain_m_resolution :premises (@p262 @p8 @p191 @p193 @p239 @p259) :args (@t188 @t181 (@list @t1 @t155 @t157 @t169 @t189))) % 33.91/34.30 (step @p264 :rule true_intro :premises (@p263)) % 33.91/34.30 (step @p265 :rule instantiate :premises (@p207) :args (@t190)) % 33.91/34.30 (step @p266 :rule cong :premises (@p226) :args (@t144)) % 33.91/34.30 (step @p267 :rule eq_resolve :premises (@p184 @p266)) % 33.91/34.30 (step @p268 :rule cnf_or_pos :args (@t194)) % 33.91/34.30 (step @p269 :rule reordering :premises (@p268) :args ((or @t193 @t191 (not @t194)))) % 33.91/34.30 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p265) :args (@t191 @t165 (@list @t192 @t194))) % 33.91/34.30 (step @p271 :rule cong :premises (@p270 @p249) :args (@t195)) % 33.91/34.30 (step @p272 :rule trans :premises (@p271 @p264)) % 33.91/34.30 (step @p273 :rule true_elim :premises (@p272)) % 33.91/34.30 (step @p274 :rule cnf_or_pos :args (@t200)) % 33.91/34.30 (step @p275 :rule reordering :premises (@p274) :args ((or @t170 @t199 @t197 @t196 (not @t200)))) % 33.91/34.30 (step @p276 :rule chain_m_resolution :premises (@p275 @p193 @p273 @p258 @p234) :args (@t199 @t201 (@list @t157 @t195 @t186 @t200))) % 33.91/34.30 (step @p277 :rule cnf_or_pos :args (@t203)) % 33.91/34.30 (step @p278 :rule reordering :premises (@p277) :args ((or @t178 @t170 @t202 @t198 (not @t203)))) % 33.91/34.30 (step @p279 :rule chain_m_resolution :premises (@p278 @p8 @p193 @p276 @p219) :args (@t202 (@list false false true false) (@list @t1 @t157 @t198 @t203))) % 33.91/34.30 (step @p280 :rule symm :premises (@p279)) % 33.91/34.30 (step @p281 :rule refl :args (tptp.sk5)) % 33.91/34.30 (step @p282 :rule cong :premises (@p281 @p280) :args (@t160)) % 33.91/34.30 (step @p283 :rule trans :premises (@p282 @p212)) % 33.91/34.30 (step @p284 :rule cong :premises (@p281 @p283) :args (@t204)) % 33.91/34.30 (step @p285 :rule trans :premises (@p284 @p202)) % 33.91/34.30 (step @p286 :rule true_elim :premises (@p285)) % 33.91/34.30 (step @p287 :rule cnf_or_pos :args (@t208)) % 33.91/34.30 (step @p288 :rule reordering :premises (@p287) :args ((or @t178 @t193 @t163 @t173 @t207 @t206 (not @t208)))) % 33.91/34.30 (step @p289 :rule chain_m_resolution :premises (@p288 @p8 @p267 @p191 @p192 @p286 @p197) :args (@t206 (@list false false false false false false) (@list @t1 @t192 @t155 @t156 @t204 @t208))) % 33.91/34.30 (step @p290 :rule true_intro :premises (@p289)) % 33.91/34.30 (step @p291 :rule refl :args (@t160)) % 33.91/34.30 (step @p292 :rule refl :args (tptp.sk6)) % 33.91/34.30 (step @p293 :rule eq-symm :args (@t54 @t2)) % 33.91/34.30 (step @p294 :rule nary_cong :premises (@p204 @p293) :args (@t55)) % 33.91/34.30 (step @p295 :rule cong :premises (@p294) :args (@t56)) % 33.91/34.30 (step @p296 :rule eq_resolve :premises (@p74 @p295)) % 33.91/34.30 (step @p297 :rule instantiate :premises (@p296) :args (@t161)) % 33.91/34.30 (step @p298 :rule cnf_or_pos :args (@t210)) % 33.91/34.30 (step @p299 :rule reordering :premises (@p298) :args ((or @t163 @t209 (not @t210)))) % 33.91/34.30 (step @p300 :rule chain_m_resolution :premises (@p299 @p191 @p297) :args (@t209 @t165 (@list @t155 @t210))) % 33.91/34.30 (step @p301 :rule cong :premises (@p300 @p292) :args (@t158)) % 33.91/34.30 (step @p302 :rule instantiate :premises (@p207) :args ((@list tptp.sk6))) % 33.91/34.30 (step @p303 :rule cnf_or_pos :args (@t212)) % 33.91/34.30 (step @p304 :rule reordering :premises (@p303) :args ((or @t173 @t211 (not @t212)))) % 33.91/34.30 (step @p305 :rule chain_m_resolution :premises (@p304 @p192 @p302) :args (@t211 @t165 (@list @t156 @t212))) % 33.91/34.30 (step @p306 :rule symm :premises (@p305)) % 33.91/34.30 (step @p307 :rule cong :premises (@p292 @p280) :args (@t213)) % 33.91/34.30 (step @p308 :rule trans :premises (@p307 @p306)) % 33.91/34.30 (step @p309 :rule cong :premises (@p281 @p308) :args (@t214)) % 33.91/34.30 (step @p310 :rule instantiate :premises (@p146) :args ((@list tptp.sk7 tptp.sk6 tptp.sk5))) % 33.91/34.30 (step @p311 :rule cnf_or_pos :args (@t216)) % 33.91/34.30 (step @p312 :rule reordering :premises (@p311) :args ((or @t163 @t173 @t170 @t215 (not @t216)))) % 33.91/34.30 (step @p313 :rule chain_m_resolution :premises (@p312 @p191 @p192 @p193 @p310) :args (@t215 @t201 (@list @t155 @t156 @t157 @t216))) % 33.91/34.30 (step @p314 :rule trans :premises (@p313 @p309 @p301)) % 33.91/34.30 (step @p315 :rule cong :premises (@p314 @p291) :args (@t217)) % 33.91/34.30 (step @p316 :rule instantiate :premises (@p233) :args (@t190)) % 33.91/34.30 (step @p317 :rule instantiate :premises (@p57) :args (@t190)) % 33.91/34.30 (step @p318 :rule cnf_or_pos :args (@t219)) % 33.91/34.30 (step @p319 :rule reordering :premises (@p318) :args ((or @t193 @t218 (not @t219)))) % 33.91/34.30 (step @p320 :rule chain_m_resolution :premises (@p319 @p267 @p317) :args (@t218 @t165 (@list @t192 @t219))) % 33.91/34.30 (step @p321 :rule refl :args (tptp.nil)) % 33.91/34.30 (step @p322 :rule cong :premises (@p226 @p321) :args (@t145)) % 33.91/34.30 (step @p323 :rule eq_resolve :premises (@p189 @p322)) % 33.91/34.30 (step @p324 :rule cnf_or_pos :args (@t224)) % 33.91/34.30 (step @p325 :rule reordering :premises (@p324) :args ((or @t193 @t223 @t221 @t220 (not @t224)))) % 33.91/34.30 (step @p326 :rule chain_m_resolution :premises (@p325 @p267 @p323 @p320 @p316) :args (@t220 @t201 (@list @t192 @t222 @t218 @t224))) % 33.91/34.30 (step @p327 :rule false_intro :premises (@p326)) % 33.91/34.30 (step @p328 :rule symm :premises (@p327)) % 33.91/34.30 (step @p329 :rule trans :premises (@p328 @p315 @p290)) % 33.91/34.30 (step @p330 false :rule eq_resolve :premises (@p329 @p196)) % 33.91/34.30 ) % 33.91/34.30 % SZS output end Proof % 33.91/34.30 % cvc5 exiting %------------------------------------------------------------------------------