%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC135-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:58:11 AM UTC 2026 % Result : Unsatisfiable 0.35s 0.65s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC135-1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n009.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:16:29 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.65 % SZS status Unsatisfiable % 0.35/0.65 % SZS output start Proof % 0.35/0.66 ( % 0.35/0.66 (declare-sort $$unsorted 0) % 0.35/0.66 (declare-const tptp.sk4 $$unsorted) % 0.35/0.66 (declare-const tptp.sk2 $$unsorted) % 0.35/0.66 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.nil $$unsorted) % 0.35/0.66 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.sk1 $$unsorted) % 0.35/0.66 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.skac2 $$unsorted) % 0.35/0.66 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.sk3 $$unsorted) % 0.35/0.66 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skac3 $$unsorted) % 0.35/0.66 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.35/0.66 (define @t1 () (tptp.cyclefreeP tptp.nil)) % 0.35/0.66 (define @t2 () (tptp.ssList tptp.nil)) % 0.35/0.66 (define @t3 () (@var "U" $$unsorted)) % 0.35/0.66 (define @t4 () (tptp.skaf83 @t3)) % 0.35/0.66 (define @t5 () (@list @t3)) % 0.35/0.66 (define @t6 () (tptp.skaf82 @t3)) % 0.35/0.66 (define @t7 () (tptp.skaf81 @t3)) % 0.35/0.66 (define @t8 () (tptp.skaf80 @t3)) % 0.35/0.66 (define @t9 () (tptp.skaf79 @t3)) % 0.35/0.66 (define @t10 () (tptp.skaf78 @t3)) % 0.35/0.66 (define @t11 () (tptp.skaf77 @t3)) % 0.35/0.66 (define @t12 () (tptp.skaf76 @t3)) % 0.35/0.66 (define @t13 () (tptp.skaf75 @t3)) % 0.35/0.66 (define @t14 () (tptp.skaf74 @t3)) % 0.35/0.66 (define @t15 () (tptp.skaf73 @t3)) % 0.35/0.66 (define @t16 () (tptp.skaf72 @t3)) % 0.35/0.66 (define @t17 () (tptp.skaf71 @t3)) % 0.35/0.66 (define @t18 () (tptp.skaf70 @t3)) % 0.35/0.66 (define @t19 () (tptp.skaf69 @t3)) % 0.35/0.66 (define @t20 () (tptp.skaf68 @t3)) % 0.35/0.66 (define @t21 () (tptp.skaf67 @t3)) % 0.35/0.66 (define @t22 () (tptp.skaf66 @t3)) % 0.35/0.66 (define @t23 () (tptp.skaf65 @t3)) % 0.35/0.66 (define @t24 () (tptp.skaf64 @t3)) % 0.35/0.66 (define @t25 () (tptp.skaf63 @t3)) % 0.35/0.66 (define @t26 () (tptp.skaf62 @t3)) % 0.35/0.66 (define @t27 () (tptp.skaf61 @t3)) % 0.35/0.66 (define @t28 () (tptp.skaf60 @t3)) % 0.35/0.66 (define @t29 () (tptp.skaf59 @t3)) % 0.35/0.66 (define @t30 () (tptp.skaf58 @t3)) % 0.35/0.66 (define @t31 () (tptp.skaf57 @t3)) % 0.35/0.66 (define @t32 () (tptp.skaf56 @t3)) % 0.35/0.66 (define @t33 () (tptp.skaf55 @t3)) % 0.35/0.66 (define @t34 () (tptp.skaf54 @t3)) % 0.35/0.66 (define @t35 () (tptp.skaf53 @t3)) % 0.35/0.66 (define @t36 () (tptp.skaf52 @t3)) % 0.35/0.66 (define @t37 () (tptp.skaf51 @t3)) % 0.35/0.66 (define @t38 () (tptp.skaf50 @t3)) % 0.35/0.66 (define @t39 () (tptp.skaf49 @t3)) % 0.35/0.66 (define @t40 () (tptp.skaf44 @t3)) % 0.35/0.66 (define @t41 () (@var "V" $$unsorted)) % 0.35/0.66 (define @t42 () (@list @t3 @t41)) % 0.35/0.66 (define @t43 () (tptp.skaf47 @t3 @t41)) % 0.35/0.66 (define @t44 () (tptp.skaf46 @t3 @t41)) % 0.35/0.66 (define @t45 () (tptp.skaf45 @t3 @t41)) % 0.35/0.66 (define @t46 () (tptp.skaf42 @t3 @t41)) % 0.35/0.66 (define @t47 () (not (tptp.ssItem @t3))) % 0.35/0.66 (define @t48 () (not (tptp.ssList @t3))) % 0.35/0.66 (define @t49 () (tptp.cons @t3 tptp.nil)) % 0.35/0.66 (define @t50 () (tptp.ssItem @t41)) % 0.35/0.66 (define @t51 () (tptp.duplicatefreeP @t3)) % 0.35/0.66 (define @t52 () (= tptp.nil @t3)) % 0.35/0.66 (define @t53 () (tptp.tl @t3)) % 0.35/0.66 (define @t54 () (tptp.hd @t3)) % 0.35/0.66 (define @t55 () (tptp.segmentP tptp.nil @t3)) % 0.35/0.66 (define @t56 () (not @t52)) % 0.35/0.66 (define @t57 () (tptp.rearsegP tptp.nil @t3)) % 0.35/0.66 (define @t58 () (tptp.frontsegP tptp.nil @t3)) % 0.35/0.66 (define @t59 () (tptp.app @t41 @t3)) % 0.35/0.66 (define @t60 () (not (tptp.ssList @t41))) % 0.35/0.66 (define @t61 () (tptp.cons @t3 @t41)) % 0.35/0.66 (define @t62 () (tptp.cyclefreeP @t3)) % 0.35/0.66 (define @t63 () (tptp.equalelemsP @t3)) % 0.35/0.66 (define @t64 () (tptp.strictorderedP @t3)) % 0.35/0.66 (define @t65 () (tptp.totalorderedP @t3)) % 0.35/0.66 (define @t66 () (tptp.strictorderP @t3)) % 0.35/0.66 (define @t67 () (tptp.totalorderP @t3)) % 0.35/0.66 (define @t68 () (= @t41 @t3)) % 0.35/0.66 (define @t69 () (tptp.neq @t41 @t3)) % 0.35/0.66 (define @t70 () (or @t48 @t60 @t69 @t68)) % 0.35/0.66 (define @t71 () (forall @t42 @t70)) % 0.35/0.66 (define @t72 () (not @t50)) % 0.35/0.66 (define @t73 () (tptp.leq @t3 @t41)) % 0.35/0.66 (define @t74 () (tptp.lt @t3 @t41)) % 0.35/0.66 (define @t75 () (not @t74)) % 0.35/0.66 (define @t76 () (tptp.lt @t41 @t3)) % 0.35/0.66 (define @t77 () (not (tptp.gt @t3 @t41))) % 0.35/0.66 (define @t78 () (tptp.gt @t41 @t3)) % 0.35/0.66 (define @t79 () (tptp.leq @t41 @t3)) % 0.35/0.66 (define @t80 () (not (tptp.geq @t3 @t41))) % 0.35/0.66 (define @t81 () (tptp.geq @t41 @t3)) % 0.35/0.66 (define @t82 () (not @t73)) % 0.35/0.66 (define @t83 () (= @t3 @t41)) % 0.35/0.66 (define @t84 () (not @t83)) % 0.35/0.66 (define @t85 () (tptp.cons @t41 @t3)) % 0.35/0.66 (define @t86 () (not (tptp.neq @t3 @t41))) % 0.35/0.66 (define @t87 () (tptp.app @t3 @t41)) % 0.35/0.66 (define @t88 () (= @t87 tptp.nil)) % 0.35/0.66 (define @t89 () (not @t88)) % 0.35/0.66 (define @t90 () (= tptp.nil @t41)) % 0.35/0.66 (define @t91 () (tptp.hd @t41)) % 0.35/0.66 (define @t92 () (tptp.strictorderedP @t41)) % 0.35/0.66 (define @t93 () (tptp.strictorderedP @t61)) % 0.35/0.66 (define @t94 () (not @t93)) % 0.35/0.66 (define @t95 () (tptp.totalorderedP @t41)) % 0.35/0.66 (define @t96 () (tptp.totalorderedP @t61)) % 0.35/0.66 (define @t97 () (not @t96)) % 0.35/0.66 (define @t98 () (not (tptp.segmentP @t3 @t41))) % 0.35/0.66 (define @t99 () (not (tptp.rearsegP @t3 @t41))) % 0.35/0.66 (define @t100 () (not (tptp.frontsegP @t3 @t41))) % 0.35/0.66 (define @t101 () (not @t79)) % 0.35/0.66 (define @t102 () (tptp.tl @t41)) % 0.35/0.66 (define @t103 () (tptp.lt @t3 @t91)) % 0.35/0.66 (define @t104 () (tptp.leq @t3 @t91)) % 0.35/0.66 (define @t105 () (@var "W" $$unsorted)) % 0.35/0.66 (define @t106 () (tptp.app @t105 @t3)) % 0.35/0.66 (define @t107 () (not (tptp.ssList @t105))) % 0.35/0.66 (define @t108 () (@list @t3 @t41 @t105)) % 0.35/0.66 (define @t109 () (tptp.app @t3 @t105)) % 0.35/0.66 (define @t110 () (tptp.cons @t41 @t105)) % 0.35/0.66 (define @t111 () (tptp.cons @t105 @t3)) % 0.35/0.66 (define @t112 () (not (tptp.ssItem @t105))) % 0.35/0.66 (define @t113 () (not (tptp.memberP @t3 @t41))) % 0.35/0.66 (define @t114 () (not (= @t87 @t105))) % 0.35/0.66 (define @t115 () (tptp.lt @t3 @t105)) % 0.35/0.66 (define @t116 () (not (tptp.lt @t41 @t105))) % 0.35/0.66 (define @t117 () (tptp.app @t105 @t41)) % 0.35/0.66 (define @t118 () (= @t41 @t105)) % 0.35/0.66 (define @t119 () (= @t3 @t105)) % 0.35/0.66 (define @t120 () (tptp.memberP @t41 @t105)) % 0.35/0.66 (define @t121 () (@var "X" $$unsorted)) % 0.35/0.66 (define @t122 () (not (tptp.ssList @t121))) % 0.35/0.66 (define @t123 () (tptp.cons @t105 @t121)) % 0.35/0.66 (define @t124 () (not (= @t61 @t123))) % 0.35/0.66 (define @t125 () (@list @t3 @t41 @t105 @t121)) % 0.35/0.66 (define @t126 () (not (tptp.frontsegP @t61 @t123))) % 0.35/0.66 (define @t127 () (tptp.app @t3 @t110)) % 0.35/0.66 (define @t128 () (not (tptp.ssItem @t121))) % 0.35/0.66 (define @t129 () (@var "Y" $$unsorted)) % 0.35/0.66 (define @t130 () (not (tptp.ssList @t129))) % 0.35/0.66 (define @t131 () (@list @t3 @t41 @t105 @t121 @t129)) % 0.35/0.66 (define @t132 () (tptp.lt @t41 @t121)) % 0.35/0.66 (define @t133 () (@var "Z" $$unsorted)) % 0.35/0.66 (define @t134 () (not (tptp.ssList @t133))) % 0.35/0.66 (define @t135 () (not (= (tptp.app @t127 (tptp.cons @t121 @t129)) @t133))) % 0.35/0.66 (define @t136 () (@list @t3 @t41 @t105 @t121 @t129 @t133)) % 0.35/0.66 (define @t137 () (tptp.leq @t41 @t121)) % 0.35/0.66 (define @t138 () (tptp.ssList tptp.sk4)) % 0.35/0.66 (define @t139 () (tptp.neq tptp.sk4 tptp.nil)) % 0.35/0.66 (define @t140 () (= tptp.nil tptp.sk4)) % 0.35/0.66 (define @t141 () (not @t138)) % 0.35/0.66 (define @t142 () (not @t2)) % 0.35/0.66 (define @t143 () (or @t142 @t141 @t139 @t140)) % 0.35/0.66 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.35/0.66 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.35/0.66 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.35/0.66 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.35/0.66 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.35/0.66 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.35/0.66 (assume @p7 @t1) % 0.35/0.66 (assume @p8 @t2) % 0.35/0.66 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.35/0.66 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.35/0.66 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.35/0.66 (assume @p12 (forall @t5 (tptp.ssItem @t4))) % 0.35/0.66 (assume @p13 (forall @t5 (tptp.ssList @t6))) % 0.35/0.66 (assume @p14 (forall @t5 (tptp.ssList @t7))) % 0.35/0.66 (assume @p15 (forall @t5 (tptp.ssList @t8))) % 0.35/0.66 (assume @p16 (forall @t5 (tptp.ssItem @t9))) % 0.35/0.66 (assume @p17 (forall @t5 (tptp.ssItem @t10))) % 0.35/0.66 (assume @p18 (forall @t5 (tptp.ssList @t11))) % 0.35/0.66 (assume @p19 (forall @t5 (tptp.ssList @t12))) % 0.35/0.66 (assume @p20 (forall @t5 (tptp.ssList @t13))) % 0.35/0.66 (assume @p21 (forall @t5 (tptp.ssItem @t14))) % 0.35/0.66 (assume @p22 (forall @t5 (tptp.ssList @t15))) % 0.35/0.66 (assume @p23 (forall @t5 (tptp.ssList @t16))) % 0.35/0.66 (assume @p24 (forall @t5 (tptp.ssList @t17))) % 0.35/0.66 (assume @p25 (forall @t5 (tptp.ssItem @t18))) % 0.35/0.66 (assume @p26 (forall @t5 (tptp.ssItem @t19))) % 0.35/0.66 (assume @p27 (forall @t5 (tptp.ssList @t20))) % 0.35/0.66 (assume @p28 (forall @t5 (tptp.ssList @t21))) % 0.35/0.66 (assume @p29 (forall @t5 (tptp.ssList @t22))) % 0.35/0.66 (assume @p30 (forall @t5 (tptp.ssItem @t23))) % 0.35/0.66 (assume @p31 (forall @t5 (tptp.ssItem @t24))) % 0.35/0.66 (assume @p32 (forall @t5 (tptp.ssList @t25))) % 0.35/0.66 (assume @p33 (forall @t5 (tptp.ssList @t26))) % 0.35/0.66 (assume @p34 (forall @t5 (tptp.ssList @t27))) % 0.35/0.66 (assume @p35 (forall @t5 (tptp.ssItem @t28))) % 0.35/0.66 (assume @p36 (forall @t5 (tptp.ssItem @t29))) % 0.35/0.66 (assume @p37 (forall @t5 (tptp.ssList @t30))) % 0.35/0.66 (assume @p38 (forall @t5 (tptp.ssList @t31))) % 0.35/0.66 (assume @p39 (forall @t5 (tptp.ssList @t32))) % 0.35/0.66 (assume @p40 (forall @t5 (tptp.ssItem @t33))) % 0.35/0.66 (assume @p41 (forall @t5 (tptp.ssItem @t34))) % 0.35/0.66 (assume @p42 (forall @t5 (tptp.ssList @t35))) % 0.35/0.66 (assume @p43 (forall @t5 (tptp.ssList @t36))) % 0.35/0.66 (assume @p44 (forall @t5 (tptp.ssList @t37))) % 0.35/0.66 (assume @p45 (forall @t5 (tptp.ssItem @t38))) % 0.35/0.66 (assume @p46 (forall @t5 (tptp.ssItem @t39))) % 0.35/0.66 (assume @p47 (forall @t5 (tptp.ssItem @t40))) % 0.35/0.66 (assume @p48 (forall @t42 (tptp.ssList (tptp.skaf48 @t3 @t41)))) % 0.35/0.66 (assume @p49 (forall @t42 (tptp.ssList @t43))) % 0.35/0.66 (assume @p50 (forall @t42 (tptp.ssList @t44))) % 0.35/0.66 (assume @p51 (forall @t42 (tptp.ssList @t45))) % 0.35/0.66 (assume @p52 (forall @t42 (tptp.ssList (tptp.skaf43 @t3 @t41)))) % 0.35/0.66 (assume @p53 (forall @t42 (tptp.ssList @t46))) % 0.35/0.66 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.35/0.66 (assume @p55 (forall @t5 (or @t47 (tptp.geq @t3 @t3)))) % 0.35/0.66 (assume @p56 (forall @t5 (or @t48 (tptp.segmentP @t3 tptp.nil)))) % 0.35/0.66 (assume @p57 (forall @t5 (or @t48 (tptp.segmentP @t3 @t3)))) % 0.35/0.66 (assume @p58 (forall @t5 (or @t48 (tptp.rearsegP @t3 tptp.nil)))) % 0.35/0.66 (assume @p59 (forall @t5 (or @t48 (tptp.rearsegP @t3 @t3)))) % 0.35/0.66 (assume @p60 (forall @t5 (or @t48 (tptp.frontsegP @t3 tptp.nil)))) % 0.35/0.66 (assume @p61 (forall @t5 (or @t48 (tptp.frontsegP @t3 @t3)))) % 0.35/0.66 (assume @p62 (forall @t5 (or @t47 (tptp.leq @t3 @t3)))) % 0.35/0.66 (assume @p63 (forall @t5 (or (not (tptp.lt @t3 @t3)) @t47))) % 0.35/0.66 (assume @p64 (forall @t5 (or @t47 (tptp.equalelemsP @t49)))) % 0.35/0.66 (assume @p65 (forall @t5 (or @t47 (tptp.duplicatefreeP @t49)))) % 0.35/0.66 (assume @p66 (forall @t5 (or @t47 (tptp.strictorderedP @t49)))) % 0.35/0.66 (assume @p67 (forall @t5 (or @t47 (tptp.totalorderedP @t49)))) % 0.35/0.66 (assume @p68 (forall @t5 (or @t47 (tptp.strictorderP @t49)))) % 0.35/0.66 (assume @p69 (forall @t5 (or @t47 (tptp.totalorderP @t49)))) % 0.35/0.66 (assume @p70 (forall @t5 (or @t47 (tptp.cyclefreeP @t49)))) % 0.35/0.66 (assume @p71 (forall @t5 (or (not (tptp.memberP tptp.nil @t3)) @t47))) % 0.35/0.66 (assume @p72 (forall @t42 (or @t48 @t51 @t50))) % 0.35/0.66 (assume @p73 (forall @t5 (or @t48 (= (tptp.app @t3 tptp.nil) @t3)))) % 0.35/0.66 (assume @p74 (forall @t5 (or @t48 (= (tptp.app tptp.nil @t3) @t3)))) % 0.35/0.66 (assume @p75 (forall @t5 (or @t48 (tptp.ssList @t53) @t52))) % 0.35/0.66 (assume @p76 (forall @t5 (or @t48 (tptp.ssItem @t54) @t52))) % 0.35/0.66 (assume @p77 (forall @t5 (or @t56 @t48 @t55))) % 0.35/0.66 (assume @p78 (forall @t5 (or (not @t55) @t48 @t52))) % 0.35/0.66 (assume @p79 (forall @t5 (or @t56 @t48 @t57))) % 0.35/0.66 (assume @p80 (forall @t5 (or (not @t57) @t48 @t52))) % 0.35/0.66 (assume @p81 (forall @t5 (or @t56 @t48 @t58))) % 0.35/0.66 (assume @p82 (forall @t5 (or (not @t58) @t48 @t52))) % 0.35/0.66 (assume @p83 (forall @t42 (or @t48 @t60 (tptp.ssList @t59)))) % 0.35/0.66 (assume @p84 (forall @t42 (or @t47 @t60 (tptp.ssList @t61)))) % 0.35/0.66 (assume @p85 (forall @t5 (or @t48 @t62 (tptp.leq @t38 @t39)))) % 0.35/0.66 (assume @p86 (forall @t5 (or @t48 @t62 (tptp.leq @t39 @t38)))) % 0.35/0.66 (assume @p87 (forall @t5 (or (not (= @t9 @t10)) @t48 @t63))) % 0.35/0.66 (assume @p88 (forall @t5 (or (not (tptp.lt @t19 @t18)) @t48 @t64))) % 0.35/0.66 (assume @p89 (forall @t5 (or (not (tptp.leq @t24 @t23)) @t48 @t65))) % 0.35/0.66 (assume @p90 (forall @t5 (or (not (tptp.lt @t28 @t29)) @t48 @t66))) % 0.35/0.66 (assume @p91 (forall @t5 (or (not (tptp.lt @t29 @t28)) @t48 @t66))) % 0.35/0.66 (assume @p92 (forall @t5 (or (not (tptp.leq @t33 @t34)) @t48 @t67))) % 0.35/0.66 (assume @p93 (forall @t5 (or (not (tptp.leq @t34 @t33)) @t48 @t67))) % 0.35/0.66 (assume @p94 (forall @t42 (or @t47 @t60 (= (tptp.tl @t61) @t41)))) % 0.35/0.66 (assume @p95 (forall @t42 (or @t47 @t60 (= (tptp.hd @t61) @t3)))) % 0.35/0.66 (assume @p96 (forall @t42 (or (not (= @t61 tptp.nil)) @t47 @t60))) % 0.35/0.66 (assume @p97 (forall @t42 (or (not (= @t61 @t41)) @t47 @t60))) % 0.35/0.66 (assume @p98 @t71) % 0.35/0.66 (assume @p99 (forall @t5 (or (not (tptp.singletonP @t3)) @t48 (= (tptp.cons @t40 tptp.nil) @t3)))) % 0.35/0.66 (assume @p100 (forall @t42 (or @t47 @t72 @t69 @t68))) % 0.35/0.66 (assume @p101 (forall @t42 (or @t75 @t72 @t47 @t73))) % 0.35/0.66 (assume @p102 (forall @t5 (or @t48 (= (tptp.cons @t54 @t53) @t3) @t52))) % 0.35/0.66 (assume @p103 (forall @t42 (or @t77 @t72 @t47 @t76))) % 0.35/0.66 (assume @p104 (forall @t42 (or @t75 @t47 @t72 @t78))) % 0.35/0.66 (assume @p105 (forall @t42 (or @t80 @t72 @t47 @t79))) % 0.35/0.66 (assume @p106 (forall @t42 (or @t82 @t47 @t72 @t81))) % 0.35/0.66 (assume @p107 (forall @t5 (or @t48 (= (tptp.cons @t4 @t6) @t3) @t52))) % 0.35/0.66 (assume @p108 (forall @t42 (or @t77 (not @t78) @t47 @t72))) % 0.35/0.66 (assume @p109 (forall @t42 (or @t84 @t75 @t72 @t47))) % 0.35/0.66 (assume @p110 (forall @t42 (or @t56 @t48 @t72 (tptp.strictorderedP @t85)))) % 0.35/0.66 (assume @p111 (forall @t42 (or @t56 @t48 @t72 (tptp.totalorderedP @t85)))) % 0.35/0.66 (assume @p112 (forall @t42 (or @t75 (not @t76) @t47 @t72))) % 0.35/0.66 (assume @p113 (forall @t42 (or @t84 @t86 @t60 @t48))) % 0.35/0.66 (assume @p114 (forall @t42 (or (not (= @t49 @t41)) @t47 @t60 (tptp.singletonP @t41)))) % 0.35/0.66 (assume @p115 (forall @t42 (or @t84 @t86 @t72 @t47))) % 0.35/0.66 (assume @p116 (forall @t42 (or @t89 @t60 @t48 @t52))) % 0.35/0.66 (assume @p117 (forall @t42 (or @t89 @t60 @t48 @t90))) % 0.35/0.66 (assume @p118 (forall @t42 (or @t47 @t60 (= (tptp.app @t49 @t41) @t61)))) % 0.35/0.66 (assume @p119 (forall @t42 (or @t82 @t72 @t47 @t74 @t83))) % 0.35/0.66 (assume @p120 (forall @t42 (or @t48 @t60 @t90 (= (tptp.hd @t59) @t91)))) % 0.35/0.66 (assume @p121 (forall @t42 (or @t94 @t60 @t47 @t92 @t90))) % 0.35/0.66 (assume @p122 (forall @t42 (or @t97 @t60 @t47 @t95 @t90))) % 0.35/0.66 (assume @p123 (forall @t42 (or @t80 (not @t81) @t47 @t72 @t68))) % 0.35/0.66 (assume @p124 (forall @t42 (or @t98 (not (tptp.segmentP @t41 @t3)) @t48 @t60 @t68))) % 0.35/0.66 (assume @p125 (forall @t42 (or @t99 (not (tptp.rearsegP @t41 @t3)) @t48 @t60 @t68))) % 0.35/0.66 (assume @p126 (forall @t42 (or @t100 (not (tptp.frontsegP @t41 @t3)) @t48 @t60 @t68))) % 0.35/0.66 (assume @p127 (forall @t42 (or @t82 @t101 @t47 @t72 @t68))) % 0.35/0.66 (assume @p128 (forall @t42 (or @t99 @t60 @t48 (= (tptp.app @t44 @t41) @t3)))) % 0.35/0.66 (assume @p129 (forall @t42 (or @t100 @t60 @t48 (= (tptp.app @t41 @t45) @t3)))) % 0.35/0.66 (assume @p130 (forall @t42 (or @t48 @t60 @t90 (= (tptp.tl @t59) (tptp.app @t102 @t3))))) % 0.35/0.66 (assume @p131 (forall @t42 (or @t94 @t60 @t47 @t103 @t90))) % 0.35/0.66 (assume @p132 (forall @t42 (or @t97 @t60 @t47 @t104 @t90))) % 0.35/0.66 (assume @p133 (forall @t108 (or @t99 @t107 @t60 @t48 (tptp.rearsegP @t106 @t41)))) % 0.35/0.66 (assume @p134 (forall @t108 (or @t100 @t107 @t60 @t48 (tptp.frontsegP @t109 @t41)))) % 0.35/0.66 (assume @p135 (forall @t108 (or @t84 @t107 @t72 @t47 (tptp.memberP @t110 @t3)))) % 0.35/0.66 (assume @p136 (forall @t108 (or @t113 @t48 @t112 @t72 (tptp.memberP @t111 @t41)))) % 0.35/0.66 (assume @p137 (forall @t108 (or @t113 @t107 @t48 @t72 (tptp.memberP @t109 @t41)))) % 0.35/0.66 (assume @p138 (forall @t108 (or @t113 @t48 @t107 @t72 (tptp.memberP @t106 @t41)))) % 0.35/0.66 (assume @p139 (forall @t5 (or @t48 @t63 (= (tptp.app @t8 (tptp.cons @t10 (tptp.cons @t9 @t7))) @t3)))) % 0.35/0.66 (assume @p140 (forall @t108 (or @t114 @t48 @t60 @t107 (tptp.rearsegP @t105 @t41)))) % 0.35/0.66 (assume @p141 (forall @t108 (or @t114 @t60 @t48 @t107 (tptp.frontsegP @t105 @t3)))) % 0.35/0.66 (assume @p142 (forall @t42 (or @t56 (not @t90) @t60 @t48 @t88))) % 0.35/0.66 (assume @p143 (forall @t108 (or @t77 (not (tptp.gt @t41 @t105)) @t112 @t72 @t47 (tptp.gt @t3 @t105)))) % 0.35/0.66 (assume @p144 (forall @t108 (or @t82 @t116 @t112 @t72 @t47 @t115))) % 0.35/0.66 (assume @p145 (forall @t108 (or @t80 (not (tptp.geq @t41 @t105)) @t112 @t72 @t47 (tptp.geq @t3 @t105)))) % 0.35/0.66 (assume @p146 (forall @t108 (or @t48 @t60 @t107 (= (tptp.app @t117 @t3) (tptp.app @t105 @t59))))) % 0.35/0.66 (assume @p147 (forall @t108 (or (not (= @t87 @t109)) @t60 @t48 @t107 @t118))) % 0.35/0.66 (assume @p148 (forall @t108 (or (not (= @t87 @t117)) @t48 @t60 @t107 @t119))) % 0.35/0.66 (assume @p149 (forall @t108 (or @t98 (not (tptp.segmentP @t41 @t105)) @t107 @t60 @t48 (tptp.segmentP @t3 @t105)))) % 0.35/0.66 (assume @p150 (forall @t108 (or @t99 (not (tptp.rearsegP @t41 @t105)) @t107 @t60 @t48 (tptp.rearsegP @t3 @t105)))) % 0.35/0.66 (assume @p151 (forall @t108 (or @t100 (not (tptp.frontsegP @t41 @t105)) @t107 @t60 @t48 (tptp.frontsegP @t3 @t105)))) % 0.35/0.66 (assume @p152 (forall @t108 (or @t75 @t116 @t112 @t72 @t47 @t115))) % 0.35/0.66 (assume @p153 (forall @t108 (or @t82 (not (tptp.leq @t41 @t105)) @t112 @t72 @t47 (tptp.leq @t3 @t105)))) % 0.35/0.66 (assume @p154 (forall @t108 (or @t47 @t60 @t107 (= (tptp.cons @t3 (tptp.app @t41 @t105)) (tptp.app @t61 @t105))))) % 0.35/0.66 (assume @p155 (forall @t108 (or (not (tptp.memberP @t87 @t105)) @t60 @t48 @t112 @t120 (tptp.memberP @t3 @t105)))) % 0.35/0.66 (assume @p156 (forall @t42 (or (not @t104) (not @t95) @t60 @t47 @t96 @t90))) % 0.35/0.66 (assume @p157 (forall @t42 (or (not @t103) (not @t92) @t60 @t47 @t93 @t90))) % 0.35/0.66 (assume @p158 (forall @t108 (or (not (tptp.memberP @t61 @t105)) @t60 @t47 @t112 @t120 (= @t105 @t3)))) % 0.35/0.66 (assume @p159 (forall @t5 (or @t48 @t51 (= (tptp.app (tptp.app @t13 (tptp.cons @t14 @t12)) (tptp.cons @t14 @t11)) @t3)))) % 0.35/0.66 (assume @p160 (forall @t5 (or @t48 @t64 (= (tptp.app (tptp.app @t17 (tptp.cons @t19 @t16)) (tptp.cons @t18 @t15)) @t3)))) % 0.35/0.66 (assume @p161 (forall @t5 (or @t48 @t65 (= (tptp.app (tptp.app @t22 (tptp.cons @t24 @t21)) (tptp.cons @t23 @t20)) @t3)))) % 0.35/0.66 (assume @p162 (forall @t5 (or @t48 @t66 (= (tptp.app (tptp.app @t27 (tptp.cons @t29 @t26)) (tptp.cons @t28 @t25)) @t3)))) % 0.35/0.66 (assume @p163 (forall @t5 (or @t48 @t67 (= (tptp.app (tptp.app @t32 (tptp.cons @t34 @t31)) (tptp.cons @t33 @t30)) @t3)))) % 0.35/0.66 (assume @p164 (forall @t5 (or @t48 @t62 (= (tptp.app (tptp.app @t37 (tptp.cons @t39 @t36)) (tptp.cons @t38 @t35)) @t3)))) % 0.35/0.66 (assume @p165 (forall @t42 (or @t98 @t60 @t48 (= (tptp.app (tptp.app @t43 @t41) (tptp.skaf48 @t41 @t3)) @t3)))) % 0.35/0.66 (assume @p166 (forall @t42 (or @t113 @t72 @t48 (= (tptp.app @t46 (tptp.cons @t41 (tptp.skaf43 @t41 @t3))) @t3)))) % 0.35/0.66 (assume @p167 (forall @t125 (or @t124 @t112 @t47 @t122 @t60 @t119))) % 0.35/0.66 (assume @p168 (forall @t125 (or @t124 @t112 @t47 @t122 @t60 (= @t121 @t41)))) % 0.35/0.66 (assume @p169 (forall @t125 (or @t98 @t107 @t122 @t60 @t48 (tptp.segmentP (tptp.app (tptp.app @t121 @t3) @t105) @t41)))) % 0.35/0.66 (assume @p170 (forall @t125 (or (not (= (tptp.app @t87 @t105) @t121)) @t107 @t48 @t60 @t122 (tptp.segmentP @t121 @t41)))) % 0.35/0.66 (assume @p171 (forall @t125 (or @t126 @t122 @t60 @t112 @t47 (tptp.frontsegP @t41 @t121)))) % 0.35/0.66 (assume @p172 (forall @t125 (or (not (= @t127 @t121)) @t107 @t48 @t72 @t122 (tptp.memberP @t121 @t41)))) % 0.35/0.66 (assume @p173 (forall @t125 (or @t126 @t122 @t60 @t112 @t47 @t119))) % 0.35/0.66 (assume @p174 (forall @t42 (or (not (= @t53 @t102)) (not (= @t54 @t91)) @t48 @t60 @t90 @t83 @t52))) % 0.35/0.66 (assume @p175 (forall @t125 (or @t100 (not (= @t105 @t121)) @t60 @t48 @t128 @t112 (tptp.frontsegP @t111 (tptp.cons @t121 @t41))))) % 0.35/0.66 (assume @p176 (forall @t131 (or (not (= (tptp.app @t127 (tptp.cons @t41 @t121)) @t129)) @t122 @t107 @t48 @t72 (not (tptp.duplicatefreeP @t129)) @t130))) % 0.35/0.66 (assume @p177 (forall @t131 (or (not (= (tptp.app @t3 (tptp.cons @t41 @t123)) @t129)) @t122 @t48 @t112 @t72 (not (tptp.equalelemsP @t129)) @t130 @t118))) % 0.35/0.66 (assume @p178 (forall @t136 (or @t135 @t130 @t107 @t48 @t128 @t72 (not (tptp.strictorderedP @t133)) @t134 @t132))) % 0.35/0.66 (assume @p179 (forall @t136 (or @t135 @t130 @t107 @t48 @t128 @t72 (not (tptp.totalorderedP @t133)) @t134 @t137))) % 0.35/0.66 (assume @p180 (forall @t136 (or @t135 @t130 @t107 @t48 @t128 @t72 (not (tptp.strictorderP @t133)) @t134 @t132 (tptp.lt @t121 @t41)))) % 0.35/0.66 (assume @p181 (forall @t136 (or @t135 @t130 @t107 @t48 @t128 @t72 (not (tptp.totalorderP @t133)) @t134 @t137 (tptp.leq @t121 @t41)))) % 0.35/0.66 (assume @p182 (forall @t136 (or @t82 @t101 (not (= (tptp.app (tptp.app @t105 (tptp.cons @t3 @t121)) (tptp.cons @t41 @t129)) @t133)) @t130 @t122 @t107 @t72 @t47 (not (tptp.cyclefreeP @t133)) @t134))) % 0.35/0.66 (assume @p183 (tptp.ssList tptp.sk1)) % 0.35/0.66 (assume @p184 (tptp.ssList tptp.sk2)) % 0.35/0.66 (assume @p185 (tptp.ssList tptp.sk3)) % 0.35/0.66 (assume @p186 @t138) % 0.35/0.66 (assume @p187 (= tptp.sk2 tptp.sk4)) % 0.35/0.66 (assume @p188 (= tptp.sk1 tptp.sk3)) % 0.35/0.66 (assume @p189 (not @t139)) % 0.35/0.66 (assume @p190 (not (tptp.cyclefreeP tptp.sk2))) % 0.35/0.66 (step @p191 :rule evaluate :args ((= true false))) % 0.35/0.66 (step @p192 :rule false_intro :premises (@p190)) % 0.35/0.66 (step @p193 :rule symm :premises (@p187)) % 0.35/0.66 (step @p194 :rule eq-symm :args (@t41 @t3)) % 0.35/0.66 (step @p195 :rule refl :args (@t69)) % 0.35/0.66 (step @p196 :rule refl :args (@t60)) % 0.35/0.66 (step @p197 :rule refl :args (@t48)) % 0.35/0.66 (step @p198 :rule nary_cong :premises (@p197 @p196 @p195 @p194) :args (@t70)) % 0.35/0.66 (step @p199 :rule cong :premises (@p198) :args (@t71)) % 0.35/0.66 (step @p200 :rule eq_resolve :premises (@p98 @p199)) % 0.35/0.66 (step @p201 :rule instantiate :premises (@p200) :args ((@list tptp.nil tptp.sk4))) % 0.35/0.66 (step @p202 :rule cnf_or_pos :args (@t143)) % 0.35/0.66 (step @p203 :rule reordering :premises (@p202) :args ((or @t139 @t142 @t141 @t140 (not @t143)))) % 0.35/0.66 (step @p204 :rule chain_m_resolution :premises (@p203 @p189 @p8 @p186 @p201) :args (@t140 (@list true false false false) (@list @t139 @t2 @t138 @t143))) % 0.35/0.66 (step @p205 :rule trans :premises (@p204 @p193)) % 0.35/0.66 (step @p206 :rule cong :premises (@p205) :args (@t1)) % 0.35/0.66 (step @p207 :rule true_intro :premises (@p7)) % 0.35/0.66 (step @p208 :rule symm :premises (@p207)) % 0.35/0.66 (step @p209 :rule trans :premises (@p208 @p206 @p192)) % 0.35/0.66 (step @p210 false :rule eq_resolve :premises (@p209 @p191)) % 0.35/0.66 ) % 0.35/0.66 % SZS output end Proof % 0.35/0.66 % cvc5 exiting %------------------------------------------------------------------------------