%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC040-1 : 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 : n019.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 08:57:48 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.64s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWC040-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n019.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:11:19 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.64 % SZS status Unsatisfiable % 0.39/0.64 % SZS output start Proof % 0.39/0.65 ( % 0.39/0.65 (declare-sort $$unsorted 0) % 0.39/0.65 (declare-const tptp.sk5 $$unsorted) % 0.39/0.65 (declare-const tptp.sk4 $$unsorted) % 0.39/0.65 (declare-const tptp.sk2 $$unsorted) % 0.39/0.65 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.sk6 $$unsorted) % 0.39/0.65 (declare-const tptp.nil $$unsorted) % 0.39/0.65 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.sk1 $$unsorted) % 0.39/0.65 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.skac2 $$unsorted) % 0.39/0.65 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.sk3 $$unsorted) % 0.39/0.65 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skac3 $$unsorted) % 0.39/0.65 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (define @t1 () (@var "U" $$unsorted)) % 0.39/0.65 (define @t2 () (tptp.skaf83 @t1)) % 0.39/0.65 (define @t3 () (@list @t1)) % 0.39/0.65 (define @t4 () (tptp.skaf82 @t1)) % 0.39/0.65 (define @t5 () (tptp.skaf81 @t1)) % 0.39/0.65 (define @t6 () (tptp.skaf80 @t1)) % 0.39/0.65 (define @t7 () (tptp.skaf79 @t1)) % 0.39/0.65 (define @t8 () (tptp.skaf78 @t1)) % 0.39/0.65 (define @t9 () (tptp.skaf77 @t1)) % 0.39/0.65 (define @t10 () (tptp.skaf76 @t1)) % 0.39/0.65 (define @t11 () (tptp.skaf75 @t1)) % 0.39/0.65 (define @t12 () (tptp.skaf74 @t1)) % 0.39/0.65 (define @t13 () (tptp.skaf73 @t1)) % 0.39/0.65 (define @t14 () (tptp.skaf72 @t1)) % 0.39/0.65 (define @t15 () (tptp.skaf71 @t1)) % 0.39/0.65 (define @t16 () (tptp.skaf70 @t1)) % 0.39/0.65 (define @t17 () (tptp.skaf69 @t1)) % 0.39/0.65 (define @t18 () (tptp.skaf68 @t1)) % 0.39/0.65 (define @t19 () (tptp.skaf67 @t1)) % 0.39/0.65 (define @t20 () (tptp.skaf66 @t1)) % 0.39/0.65 (define @t21 () (tptp.skaf65 @t1)) % 0.39/0.65 (define @t22 () (tptp.skaf64 @t1)) % 0.39/0.65 (define @t23 () (tptp.skaf63 @t1)) % 0.39/0.65 (define @t24 () (tptp.skaf62 @t1)) % 0.39/0.65 (define @t25 () (tptp.skaf61 @t1)) % 0.39/0.65 (define @t26 () (tptp.skaf60 @t1)) % 0.39/0.65 (define @t27 () (tptp.skaf59 @t1)) % 0.39/0.65 (define @t28 () (tptp.skaf58 @t1)) % 0.39/0.65 (define @t29 () (tptp.skaf57 @t1)) % 0.39/0.65 (define @t30 () (tptp.skaf56 @t1)) % 0.39/0.65 (define @t31 () (tptp.skaf55 @t1)) % 0.39/0.65 (define @t32 () (tptp.skaf54 @t1)) % 0.39/0.65 (define @t33 () (tptp.skaf53 @t1)) % 0.39/0.65 (define @t34 () (tptp.skaf52 @t1)) % 0.39/0.65 (define @t35 () (tptp.skaf51 @t1)) % 0.39/0.65 (define @t36 () (tptp.skaf50 @t1)) % 0.39/0.65 (define @t37 () (tptp.skaf49 @t1)) % 0.39/0.65 (define @t38 () (tptp.skaf44 @t1)) % 0.39/0.65 (define @t39 () (@var "V" $$unsorted)) % 0.39/0.65 (define @t40 () (@list @t1 @t39)) % 0.39/0.65 (define @t41 () (tptp.skaf47 @t1 @t39)) % 0.39/0.65 (define @t42 () (tptp.skaf46 @t1 @t39)) % 0.39/0.65 (define @t43 () (tptp.skaf45 @t1 @t39)) % 0.39/0.65 (define @t44 () (tptp.skaf42 @t1 @t39)) % 0.39/0.65 (define @t45 () (not (tptp.ssItem @t1))) % 0.39/0.65 (define @t46 () (not (tptp.ssList @t1))) % 0.39/0.65 (define @t47 () (tptp.cons @t1 tptp.nil)) % 0.39/0.65 (define @t48 () (tptp.ssItem @t39)) % 0.39/0.65 (define @t49 () (tptp.duplicatefreeP @t1)) % 0.39/0.65 (define @t50 () (= tptp.nil @t1)) % 0.39/0.65 (define @t51 () (tptp.tl @t1)) % 0.39/0.65 (define @t52 () (tptp.hd @t1)) % 0.39/0.65 (define @t53 () (tptp.segmentP tptp.nil @t1)) % 0.39/0.65 (define @t54 () (not @t50)) % 0.39/0.65 (define @t55 () (tptp.rearsegP tptp.nil @t1)) % 0.39/0.65 (define @t56 () (tptp.frontsegP tptp.nil @t1)) % 0.39/0.65 (define @t57 () (tptp.app @t39 @t1)) % 0.39/0.65 (define @t58 () (not (tptp.ssList @t39))) % 0.39/0.65 (define @t59 () (tptp.cons @t1 @t39)) % 0.39/0.65 (define @t60 () (tptp.cyclefreeP @t1)) % 0.39/0.65 (define @t61 () (tptp.equalelemsP @t1)) % 0.39/0.65 (define @t62 () (tptp.strictorderedP @t1)) % 0.39/0.65 (define @t63 () (tptp.totalorderedP @t1)) % 0.39/0.65 (define @t64 () (tptp.strictorderP @t1)) % 0.39/0.65 (define @t65 () (tptp.totalorderP @t1)) % 0.39/0.65 (define @t66 () (= @t39 @t1)) % 0.39/0.65 (define @t67 () (tptp.neq @t39 @t1)) % 0.39/0.65 (define @t68 () (not @t48)) % 0.39/0.65 (define @t69 () (tptp.leq @t1 @t39)) % 0.39/0.65 (define @t70 () (tptp.lt @t1 @t39)) % 0.39/0.65 (define @t71 () (not @t70)) % 0.39/0.65 (define @t72 () (tptp.lt @t39 @t1)) % 0.39/0.65 (define @t73 () (not (tptp.gt @t1 @t39))) % 0.39/0.65 (define @t74 () (tptp.gt @t39 @t1)) % 0.39/0.65 (define @t75 () (tptp.leq @t39 @t1)) % 0.39/0.65 (define @t76 () (not (tptp.geq @t1 @t39))) % 0.39/0.65 (define @t77 () (tptp.geq @t39 @t1)) % 0.39/0.65 (define @t78 () (not @t69)) % 0.39/0.65 (define @t79 () (= @t1 @t39)) % 0.39/0.65 (define @t80 () (not @t79)) % 0.39/0.65 (define @t81 () (tptp.cons @t39 @t1)) % 0.39/0.65 (define @t82 () (not (tptp.neq @t1 @t39))) % 0.39/0.65 (define @t83 () (tptp.app @t1 @t39)) % 0.39/0.65 (define @t84 () (= @t83 tptp.nil)) % 0.39/0.65 (define @t85 () (not @t84)) % 0.39/0.65 (define @t86 () (= tptp.nil @t39)) % 0.39/0.65 (define @t87 () (tptp.hd @t39)) % 0.39/0.65 (define @t88 () (tptp.strictorderedP @t39)) % 0.39/0.65 (define @t89 () (tptp.strictorderedP @t59)) % 0.39/0.65 (define @t90 () (not @t89)) % 0.39/0.65 (define @t91 () (tptp.totalorderedP @t39)) % 0.39/0.65 (define @t92 () (tptp.totalorderedP @t59)) % 0.39/0.65 (define @t93 () (not @t92)) % 0.39/0.65 (define @t94 () (not (tptp.segmentP @t1 @t39))) % 0.39/0.65 (define @t95 () (not (tptp.rearsegP @t1 @t39))) % 0.39/0.65 (define @t96 () (not (tptp.frontsegP @t1 @t39))) % 0.39/0.65 (define @t97 () (not @t75)) % 0.39/0.65 (define @t98 () (tptp.tl @t39)) % 0.39/0.65 (define @t99 () (tptp.lt @t1 @t87)) % 0.39/0.65 (define @t100 () (tptp.leq @t1 @t87)) % 0.39/0.65 (define @t101 () (@var "W" $$unsorted)) % 0.39/0.65 (define @t102 () (tptp.app @t101 @t1)) % 0.39/0.65 (define @t103 () (not (tptp.ssList @t101))) % 0.39/0.65 (define @t104 () (@list @t1 @t39 @t101)) % 0.39/0.65 (define @t105 () (tptp.app @t1 @t101)) % 0.39/0.65 (define @t106 () (tptp.cons @t39 @t101)) % 0.39/0.65 (define @t107 () (tptp.cons @t101 @t1)) % 0.39/0.65 (define @t108 () (not (tptp.ssItem @t101))) % 0.39/0.65 (define @t109 () (not (tptp.memberP @t1 @t39))) % 0.39/0.65 (define @t110 () (not (= @t83 @t101))) % 0.39/0.65 (define @t111 () (tptp.lt @t1 @t101)) % 0.39/0.65 (define @t112 () (not (tptp.lt @t39 @t101))) % 0.39/0.65 (define @t113 () (tptp.app @t101 @t39)) % 0.39/0.65 (define @t114 () (= @t39 @t101)) % 0.39/0.65 (define @t115 () (= @t1 @t101)) % 0.39/0.65 (define @t116 () (tptp.memberP @t39 @t101)) % 0.39/0.65 (define @t117 () (@var "X" $$unsorted)) % 0.39/0.65 (define @t118 () (not (tptp.ssList @t117))) % 0.39/0.65 (define @t119 () (tptp.cons @t101 @t117)) % 0.39/0.65 (define @t120 () (not (= @t59 @t119))) % 0.39/0.65 (define @t121 () (@list @t1 @t39 @t101 @t117)) % 0.39/0.65 (define @t122 () (not (tptp.frontsegP @t59 @t119))) % 0.39/0.65 (define @t123 () (tptp.app @t1 @t106)) % 0.39/0.65 (define @t124 () (not (tptp.ssItem @t117))) % 0.39/0.65 (define @t125 () (@var "Y" $$unsorted)) % 0.39/0.65 (define @t126 () (not (tptp.ssList @t125))) % 0.39/0.65 (define @t127 () (@list @t1 @t39 @t101 @t117 @t125)) % 0.39/0.65 (define @t128 () (tptp.lt @t39 @t117)) % 0.39/0.65 (define @t129 () (@var "Z" $$unsorted)) % 0.39/0.65 (define @t130 () (not (tptp.ssList @t129))) % 0.39/0.65 (define @t131 () (not (= (tptp.app @t123 (tptp.cons @t117 @t125)) @t129))) % 0.39/0.65 (define @t132 () (@list @t1 @t39 @t101 @t117 @t125 @t129)) % 0.39/0.65 (define @t133 () (tptp.leq @t39 @t117)) % 0.39/0.65 (define @t134 () (= tptp.nil tptp.sk4)) % 0.39/0.65 (define @t135 () (= tptp.nil tptp.sk3)) % 0.39/0.65 (define @t136 () (not (tptp.neq tptp.sk4 tptp.nil))) % 0.39/0.65 (define @t137 () (tptp.cons tptp.sk5 tptp.nil)) % 0.39/0.65 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.39/0.65 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.39/0.65 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.39/0.65 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.39/0.65 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.39/0.65 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.39/0.65 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.39/0.65 (assume @p8 (tptp.ssList tptp.nil)) % 0.39/0.65 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.39/0.65 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.39/0.65 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.39/0.65 (assume @p12 (forall @t3 (tptp.ssItem @t2))) % 0.39/0.65 (assume @p13 (forall @t3 (tptp.ssList @t4))) % 0.39/0.65 (assume @p14 (forall @t3 (tptp.ssList @t5))) % 0.39/0.65 (assume @p15 (forall @t3 (tptp.ssList @t6))) % 0.39/0.65 (assume @p16 (forall @t3 (tptp.ssItem @t7))) % 0.39/0.65 (assume @p17 (forall @t3 (tptp.ssItem @t8))) % 0.39/0.65 (assume @p18 (forall @t3 (tptp.ssList @t9))) % 0.39/0.65 (assume @p19 (forall @t3 (tptp.ssList @t10))) % 0.39/0.65 (assume @p20 (forall @t3 (tptp.ssList @t11))) % 0.39/0.65 (assume @p21 (forall @t3 (tptp.ssItem @t12))) % 0.39/0.65 (assume @p22 (forall @t3 (tptp.ssList @t13))) % 0.39/0.65 (assume @p23 (forall @t3 (tptp.ssList @t14))) % 0.39/0.65 (assume @p24 (forall @t3 (tptp.ssList @t15))) % 0.39/0.65 (assume @p25 (forall @t3 (tptp.ssItem @t16))) % 0.39/0.65 (assume @p26 (forall @t3 (tptp.ssItem @t17))) % 0.39/0.65 (assume @p27 (forall @t3 (tptp.ssList @t18))) % 0.39/0.65 (assume @p28 (forall @t3 (tptp.ssList @t19))) % 0.39/0.65 (assume @p29 (forall @t3 (tptp.ssList @t20))) % 0.39/0.65 (assume @p30 (forall @t3 (tptp.ssItem @t21))) % 0.39/0.65 (assume @p31 (forall @t3 (tptp.ssItem @t22))) % 0.39/0.65 (assume @p32 (forall @t3 (tptp.ssList @t23))) % 0.39/0.65 (assume @p33 (forall @t3 (tptp.ssList @t24))) % 0.39/0.65 (assume @p34 (forall @t3 (tptp.ssList @t25))) % 0.39/0.65 (assume @p35 (forall @t3 (tptp.ssItem @t26))) % 0.39/0.65 (assume @p36 (forall @t3 (tptp.ssItem @t27))) % 0.39/0.65 (assume @p37 (forall @t3 (tptp.ssList @t28))) % 0.39/0.65 (assume @p38 (forall @t3 (tptp.ssList @t29))) % 0.39/0.65 (assume @p39 (forall @t3 (tptp.ssList @t30))) % 0.39/0.65 (assume @p40 (forall @t3 (tptp.ssItem @t31))) % 0.39/0.65 (assume @p41 (forall @t3 (tptp.ssItem @t32))) % 0.39/0.65 (assume @p42 (forall @t3 (tptp.ssList @t33))) % 0.39/0.65 (assume @p43 (forall @t3 (tptp.ssList @t34))) % 0.39/0.65 (assume @p44 (forall @t3 (tptp.ssList @t35))) % 0.39/0.65 (assume @p45 (forall @t3 (tptp.ssItem @t36))) % 0.39/0.65 (assume @p46 (forall @t3 (tptp.ssItem @t37))) % 0.39/0.65 (assume @p47 (forall @t3 (tptp.ssItem @t38))) % 0.39/0.65 (assume @p48 (forall @t40 (tptp.ssList (tptp.skaf48 @t1 @t39)))) % 0.39/0.65 (assume @p49 (forall @t40 (tptp.ssList @t41))) % 0.39/0.65 (assume @p50 (forall @t40 (tptp.ssList @t42))) % 0.39/0.65 (assume @p51 (forall @t40 (tptp.ssList @t43))) % 0.39/0.65 (assume @p52 (forall @t40 (tptp.ssList (tptp.skaf43 @t1 @t39)))) % 0.39/0.65 (assume @p53 (forall @t40 (tptp.ssList @t44))) % 0.39/0.65 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.39/0.65 (assume @p55 (forall @t3 (or @t45 (tptp.geq @t1 @t1)))) % 0.39/0.65 (assume @p56 (forall @t3 (or @t46 (tptp.segmentP @t1 tptp.nil)))) % 0.39/0.65 (assume @p57 (forall @t3 (or @t46 (tptp.segmentP @t1 @t1)))) % 0.39/0.65 (assume @p58 (forall @t3 (or @t46 (tptp.rearsegP @t1 tptp.nil)))) % 0.39/0.65 (assume @p59 (forall @t3 (or @t46 (tptp.rearsegP @t1 @t1)))) % 0.39/0.65 (assume @p60 (forall @t3 (or @t46 (tptp.frontsegP @t1 tptp.nil)))) % 0.39/0.65 (assume @p61 (forall @t3 (or @t46 (tptp.frontsegP @t1 @t1)))) % 0.39/0.65 (assume @p62 (forall @t3 (or @t45 (tptp.leq @t1 @t1)))) % 0.39/0.65 (assume @p63 (forall @t3 (or (not (tptp.lt @t1 @t1)) @t45))) % 0.39/0.65 (assume @p64 (forall @t3 (or @t45 (tptp.equalelemsP @t47)))) % 0.39/0.65 (assume @p65 (forall @t3 (or @t45 (tptp.duplicatefreeP @t47)))) % 0.39/0.65 (assume @p66 (forall @t3 (or @t45 (tptp.strictorderedP @t47)))) % 0.39/0.65 (assume @p67 (forall @t3 (or @t45 (tptp.totalorderedP @t47)))) % 0.39/0.65 (assume @p68 (forall @t3 (or @t45 (tptp.strictorderP @t47)))) % 0.39/0.65 (assume @p69 (forall @t3 (or @t45 (tptp.totalorderP @t47)))) % 0.39/0.65 (assume @p70 (forall @t3 (or @t45 (tptp.cyclefreeP @t47)))) % 0.39/0.65 (assume @p71 (forall @t3 (or (not (tptp.memberP tptp.nil @t1)) @t45))) % 0.39/0.65 (assume @p72 (forall @t40 (or @t46 @t49 @t48))) % 0.39/0.65 (assume @p73 (forall @t3 (or @t46 (= (tptp.app @t1 tptp.nil) @t1)))) % 0.39/0.65 (assume @p74 (forall @t3 (or @t46 (= (tptp.app tptp.nil @t1) @t1)))) % 0.39/0.65 (assume @p75 (forall @t3 (or @t46 (tptp.ssList @t51) @t50))) % 0.39/0.65 (assume @p76 (forall @t3 (or @t46 (tptp.ssItem @t52) @t50))) % 0.39/0.65 (assume @p77 (forall @t3 (or @t54 @t46 @t53))) % 0.39/0.65 (assume @p78 (forall @t3 (or (not @t53) @t46 @t50))) % 0.39/0.65 (assume @p79 (forall @t3 (or @t54 @t46 @t55))) % 0.39/0.65 (assume @p80 (forall @t3 (or (not @t55) @t46 @t50))) % 0.39/0.65 (assume @p81 (forall @t3 (or @t54 @t46 @t56))) % 0.39/0.65 (assume @p82 (forall @t3 (or (not @t56) @t46 @t50))) % 0.39/0.65 (assume @p83 (forall @t40 (or @t46 @t58 (tptp.ssList @t57)))) % 0.39/0.65 (assume @p84 (forall @t40 (or @t45 @t58 (tptp.ssList @t59)))) % 0.39/0.65 (assume @p85 (forall @t3 (or @t46 @t60 (tptp.leq @t36 @t37)))) % 0.39/0.65 (assume @p86 (forall @t3 (or @t46 @t60 (tptp.leq @t37 @t36)))) % 0.39/0.65 (assume @p87 (forall @t3 (or (not (= @t7 @t8)) @t46 @t61))) % 0.39/0.65 (assume @p88 (forall @t3 (or (not (tptp.lt @t17 @t16)) @t46 @t62))) % 0.39/0.65 (assume @p89 (forall @t3 (or (not (tptp.leq @t22 @t21)) @t46 @t63))) % 0.39/0.65 (assume @p90 (forall @t3 (or (not (tptp.lt @t26 @t27)) @t46 @t64))) % 0.39/0.65 (assume @p91 (forall @t3 (or (not (tptp.lt @t27 @t26)) @t46 @t64))) % 0.39/0.65 (assume @p92 (forall @t3 (or (not (tptp.leq @t31 @t32)) @t46 @t65))) % 0.39/0.65 (assume @p93 (forall @t3 (or (not (tptp.leq @t32 @t31)) @t46 @t65))) % 0.39/0.65 (assume @p94 (forall @t40 (or @t45 @t58 (= (tptp.tl @t59) @t39)))) % 0.39/0.65 (assume @p95 (forall @t40 (or @t45 @t58 (= (tptp.hd @t59) @t1)))) % 0.39/0.65 (assume @p96 (forall @t40 (or (not (= @t59 tptp.nil)) @t45 @t58))) % 0.39/0.65 (assume @p97 (forall @t40 (or (not (= @t59 @t39)) @t45 @t58))) % 0.39/0.65 (assume @p98 (forall @t40 (or @t46 @t58 @t67 @t66))) % 0.39/0.65 (assume @p99 (forall @t3 (or (not (tptp.singletonP @t1)) @t46 (= (tptp.cons @t38 tptp.nil) @t1)))) % 0.39/0.65 (assume @p100 (forall @t40 (or @t45 @t68 @t67 @t66))) % 0.39/0.65 (assume @p101 (forall @t40 (or @t71 @t68 @t45 @t69))) % 0.39/0.65 (assume @p102 (forall @t3 (or @t46 (= (tptp.cons @t52 @t51) @t1) @t50))) % 0.39/0.65 (assume @p103 (forall @t40 (or @t73 @t68 @t45 @t72))) % 0.39/0.65 (assume @p104 (forall @t40 (or @t71 @t45 @t68 @t74))) % 0.39/0.65 (assume @p105 (forall @t40 (or @t76 @t68 @t45 @t75))) % 0.39/0.65 (assume @p106 (forall @t40 (or @t78 @t45 @t68 @t77))) % 0.39/0.65 (assume @p107 (forall @t3 (or @t46 (= (tptp.cons @t2 @t4) @t1) @t50))) % 0.39/0.65 (assume @p108 (forall @t40 (or @t73 (not @t74) @t45 @t68))) % 0.39/0.65 (assume @p109 (forall @t40 (or @t80 @t71 @t68 @t45))) % 0.39/0.65 (assume @p110 (forall @t40 (or @t54 @t46 @t68 (tptp.strictorderedP @t81)))) % 0.39/0.65 (assume @p111 (forall @t40 (or @t54 @t46 @t68 (tptp.totalorderedP @t81)))) % 0.39/0.65 (assume @p112 (forall @t40 (or @t71 (not @t72) @t45 @t68))) % 0.39/0.65 (assume @p113 (forall @t40 (or @t80 @t82 @t58 @t46))) % 0.39/0.65 (assume @p114 (forall @t40 (or (not (= @t47 @t39)) @t45 @t58 (tptp.singletonP @t39)))) % 0.39/0.65 (assume @p115 (forall @t40 (or @t80 @t82 @t68 @t45))) % 0.39/0.65 (assume @p116 (forall @t40 (or @t85 @t58 @t46 @t50))) % 0.39/0.65 (assume @p117 (forall @t40 (or @t85 @t58 @t46 @t86))) % 0.39/0.65 (assume @p118 (forall @t40 (or @t45 @t58 (= (tptp.app @t47 @t39) @t59)))) % 0.39/0.65 (assume @p119 (forall @t40 (or @t78 @t68 @t45 @t70 @t79))) % 0.39/0.65 (assume @p120 (forall @t40 (or @t46 @t58 @t86 (= (tptp.hd @t57) @t87)))) % 0.39/0.65 (assume @p121 (forall @t40 (or @t90 @t58 @t45 @t88 @t86))) % 0.39/0.65 (assume @p122 (forall @t40 (or @t93 @t58 @t45 @t91 @t86))) % 0.39/0.65 (assume @p123 (forall @t40 (or @t76 (not @t77) @t45 @t68 @t66))) % 0.39/0.65 (assume @p124 (forall @t40 (or @t94 (not (tptp.segmentP @t39 @t1)) @t46 @t58 @t66))) % 0.39/0.65 (assume @p125 (forall @t40 (or @t95 (not (tptp.rearsegP @t39 @t1)) @t46 @t58 @t66))) % 0.39/0.65 (assume @p126 (forall @t40 (or @t96 (not (tptp.frontsegP @t39 @t1)) @t46 @t58 @t66))) % 0.39/0.65 (assume @p127 (forall @t40 (or @t78 @t97 @t45 @t68 @t66))) % 0.39/0.65 (assume @p128 (forall @t40 (or @t95 @t58 @t46 (= (tptp.app @t42 @t39) @t1)))) % 0.39/0.65 (assume @p129 (forall @t40 (or @t96 @t58 @t46 (= (tptp.app @t39 @t43) @t1)))) % 0.39/0.65 (assume @p130 (forall @t40 (or @t46 @t58 @t86 (= (tptp.tl @t57) (tptp.app @t98 @t1))))) % 0.39/0.65 (assume @p131 (forall @t40 (or @t90 @t58 @t45 @t99 @t86))) % 0.39/0.65 (assume @p132 (forall @t40 (or @t93 @t58 @t45 @t100 @t86))) % 0.39/0.65 (assume @p133 (forall @t104 (or @t95 @t103 @t58 @t46 (tptp.rearsegP @t102 @t39)))) % 0.39/0.65 (assume @p134 (forall @t104 (or @t96 @t103 @t58 @t46 (tptp.frontsegP @t105 @t39)))) % 0.39/0.65 (assume @p135 (forall @t104 (or @t80 @t103 @t68 @t45 (tptp.memberP @t106 @t1)))) % 0.39/0.65 (assume @p136 (forall @t104 (or @t109 @t46 @t108 @t68 (tptp.memberP @t107 @t39)))) % 0.39/0.65 (assume @p137 (forall @t104 (or @t109 @t103 @t46 @t68 (tptp.memberP @t105 @t39)))) % 0.39/0.65 (assume @p138 (forall @t104 (or @t109 @t46 @t103 @t68 (tptp.memberP @t102 @t39)))) % 0.39/0.65 (assume @p139 (forall @t3 (or @t46 @t61 (= (tptp.app @t6 (tptp.cons @t8 (tptp.cons @t7 @t5))) @t1)))) % 0.39/0.65 (assume @p140 (forall @t104 (or @t110 @t46 @t58 @t103 (tptp.rearsegP @t101 @t39)))) % 0.39/0.65 (assume @p141 (forall @t104 (or @t110 @t58 @t46 @t103 (tptp.frontsegP @t101 @t1)))) % 0.39/0.65 (assume @p142 (forall @t40 (or @t54 (not @t86) @t58 @t46 @t84))) % 0.39/0.65 (assume @p143 (forall @t104 (or @t73 (not (tptp.gt @t39 @t101)) @t108 @t68 @t45 (tptp.gt @t1 @t101)))) % 0.39/0.65 (assume @p144 (forall @t104 (or @t78 @t112 @t108 @t68 @t45 @t111))) % 0.39/0.65 (assume @p145 (forall @t104 (or @t76 (not (tptp.geq @t39 @t101)) @t108 @t68 @t45 (tptp.geq @t1 @t101)))) % 0.39/0.65 (assume @p146 (forall @t104 (or @t46 @t58 @t103 (= (tptp.app @t113 @t1) (tptp.app @t101 @t57))))) % 0.39/0.65 (assume @p147 (forall @t104 (or (not (= @t83 @t105)) @t58 @t46 @t103 @t114))) % 0.39/0.65 (assume @p148 (forall @t104 (or (not (= @t83 @t113)) @t46 @t58 @t103 @t115))) % 0.39/0.65 (assume @p149 (forall @t104 (or @t94 (not (tptp.segmentP @t39 @t101)) @t103 @t58 @t46 (tptp.segmentP @t1 @t101)))) % 0.39/0.65 (assume @p150 (forall @t104 (or @t95 (not (tptp.rearsegP @t39 @t101)) @t103 @t58 @t46 (tptp.rearsegP @t1 @t101)))) % 0.39/0.65 (assume @p151 (forall @t104 (or @t96 (not (tptp.frontsegP @t39 @t101)) @t103 @t58 @t46 (tptp.frontsegP @t1 @t101)))) % 0.39/0.65 (assume @p152 (forall @t104 (or @t71 @t112 @t108 @t68 @t45 @t111))) % 0.39/0.65 (assume @p153 (forall @t104 (or @t78 (not (tptp.leq @t39 @t101)) @t108 @t68 @t45 (tptp.leq @t1 @t101)))) % 0.39/0.65 (assume @p154 (forall @t104 (or @t45 @t58 @t103 (= (tptp.cons @t1 (tptp.app @t39 @t101)) (tptp.app @t59 @t101))))) % 0.39/0.65 (assume @p155 (forall @t104 (or (not (tptp.memberP @t83 @t101)) @t58 @t46 @t108 @t116 (tptp.memberP @t1 @t101)))) % 0.39/0.65 (assume @p156 (forall @t40 (or (not @t100) (not @t91) @t58 @t45 @t92 @t86))) % 0.39/0.65 (assume @p157 (forall @t40 (or (not @t99) (not @t88) @t58 @t45 @t89 @t86))) % 0.39/0.65 (assume @p158 (forall @t104 (or (not (tptp.memberP @t59 @t101)) @t58 @t45 @t108 @t116 (= @t101 @t1)))) % 0.39/0.65 (assume @p159 (forall @t3 (or @t46 @t49 (= (tptp.app (tptp.app @t11 (tptp.cons @t12 @t10)) (tptp.cons @t12 @t9)) @t1)))) % 0.39/0.65 (assume @p160 (forall @t3 (or @t46 @t62 (= (tptp.app (tptp.app @t15 (tptp.cons @t17 @t14)) (tptp.cons @t16 @t13)) @t1)))) % 0.39/0.65 (assume @p161 (forall @t3 (or @t46 @t63 (= (tptp.app (tptp.app @t20 (tptp.cons @t22 @t19)) (tptp.cons @t21 @t18)) @t1)))) % 0.39/0.65 (assume @p162 (forall @t3 (or @t46 @t64 (= (tptp.app (tptp.app @t25 (tptp.cons @t27 @t24)) (tptp.cons @t26 @t23)) @t1)))) % 0.39/0.65 (assume @p163 (forall @t3 (or @t46 @t65 (= (tptp.app (tptp.app @t30 (tptp.cons @t32 @t29)) (tptp.cons @t31 @t28)) @t1)))) % 0.39/0.65 (assume @p164 (forall @t3 (or @t46 @t60 (= (tptp.app (tptp.app @t35 (tptp.cons @t37 @t34)) (tptp.cons @t36 @t33)) @t1)))) % 0.39/0.65 (assume @p165 (forall @t40 (or @t94 @t58 @t46 (= (tptp.app (tptp.app @t41 @t39) (tptp.skaf48 @t39 @t1)) @t1)))) % 0.39/0.65 (assume @p166 (forall @t40 (or @t109 @t68 @t46 (= (tptp.app @t44 (tptp.cons @t39 (tptp.skaf43 @t39 @t1))) @t1)))) % 0.39/0.65 (assume @p167 (forall @t121 (or @t120 @t108 @t45 @t118 @t58 @t115))) % 0.39/0.65 (assume @p168 (forall @t121 (or @t120 @t108 @t45 @t118 @t58 (= @t117 @t39)))) % 0.39/0.65 (assume @p169 (forall @t121 (or @t94 @t103 @t118 @t58 @t46 (tptp.segmentP (tptp.app (tptp.app @t117 @t1) @t101) @t39)))) % 0.39/0.65 (assume @p170 (forall @t121 (or (not (= (tptp.app @t83 @t101) @t117)) @t103 @t46 @t58 @t118 (tptp.segmentP @t117 @t39)))) % 0.39/0.65 (assume @p171 (forall @t121 (or @t122 @t118 @t58 @t108 @t45 (tptp.frontsegP @t39 @t117)))) % 0.39/0.65 (assume @p172 (forall @t121 (or (not (= @t123 @t117)) @t103 @t46 @t68 @t118 (tptp.memberP @t117 @t39)))) % 0.39/0.65 (assume @p173 (forall @t121 (or @t122 @t118 @t58 @t108 @t45 @t115))) % 0.39/0.65 (assume @p174 (forall @t40 (or (not (= @t51 @t98)) (not (= @t52 @t87)) @t46 @t58 @t86 @t79 @t50))) % 0.39/0.65 (assume @p175 (forall @t121 (or @t96 (not (= @t101 @t117)) @t58 @t46 @t124 @t108 (tptp.frontsegP @t107 (tptp.cons @t117 @t39))))) % 0.39/0.65 (assume @p176 (forall @t127 (or (not (= (tptp.app @t123 (tptp.cons @t39 @t117)) @t125)) @t118 @t103 @t46 @t68 (not (tptp.duplicatefreeP @t125)) @t126))) % 0.39/0.65 (assume @p177 (forall @t127 (or (not (= (tptp.app @t1 (tptp.cons @t39 @t119)) @t125)) @t118 @t46 @t108 @t68 (not (tptp.equalelemsP @t125)) @t126 @t114))) % 0.39/0.65 (assume @p178 (forall @t132 (or @t131 @t126 @t103 @t46 @t124 @t68 (not (tptp.strictorderedP @t129)) @t130 @t128))) % 0.39/0.65 (assume @p179 (forall @t132 (or @t131 @t126 @t103 @t46 @t124 @t68 (not (tptp.totalorderedP @t129)) @t130 @t133))) % 0.39/0.65 (assume @p180 (forall @t132 (or @t131 @t126 @t103 @t46 @t124 @t68 (not (tptp.strictorderP @t129)) @t130 @t128 (tptp.lt @t117 @t39)))) % 0.39/0.65 (assume @p181 (forall @t132 (or @t131 @t126 @t103 @t46 @t124 @t68 (not (tptp.totalorderP @t129)) @t130 @t133 (tptp.leq @t117 @t39)))) % 0.39/0.65 (assume @p182 (forall @t132 (or @t78 @t97 (not (= (tptp.app (tptp.app @t101 (tptp.cons @t1 @t117)) (tptp.cons @t39 @t125)) @t129)) @t126 @t118 @t103 @t68 @t45 (not (tptp.cyclefreeP @t129)) @t130))) % 0.39/0.65 (assume @p183 (tptp.ssList tptp.sk1)) % 0.39/0.65 (assume @p184 (tptp.ssList tptp.sk2)) % 0.39/0.65 (assume @p185 (tptp.ssList tptp.sk3)) % 0.39/0.65 (assume @p186 (tptp.ssList tptp.sk4)) % 0.39/0.65 (assume @p187 (= tptp.nil tptp.sk2)) % 0.39/0.65 (assume @p188 (= tptp.sk2 tptp.sk4)) % 0.39/0.65 (assume @p189 (= tptp.sk1 tptp.sk3)) % 0.39/0.65 (assume @p190 (not (= tptp.nil tptp.sk1))) % 0.39/0.65 (assume @p191 (or @t135 (not @t134))) % 0.39/0.65 (assume @p192 (or (tptp.ssItem tptp.sk5) @t136)) % 0.39/0.65 (assume @p193 (or (tptp.ssList tptp.sk6) @t136)) % 0.39/0.65 (assume @p194 (or (= (tptp.app @t137 tptp.sk6) tptp.sk3) @t136)) % 0.39/0.65 (assume @p195 (or (= (tptp.app tptp.sk6 @t137) tptp.sk4) @t136)) % 0.39/0.65 (step @p196 :rule trans :premises (@p187 @p188)) % 0.39/0.65 (step @p197 :rule false_intro :premises (@p190)) % 0.39/0.65 (step @p198 :rule symm :premises (@p189)) % 0.39/0.65 (step @p199 :rule refl :args (tptp.nil)) % 0.39/0.65 (step @p200 :rule cong :premises (@p199 @p198) :args (@t135)) % 0.39/0.65 (step @p201 :rule trans :premises (@p200 @p197)) % 0.39/0.65 (step @p202 :rule false_elim :premises (@p201)) % 0.39/0.65 (step @p203 false :rule chain_m_resolution :premises (@p191 @p202 @p196) :args (false (@list true false) (@list @t135 @t134))) % 0.39/0.65 ) % 0.39/0.65 % SZS output end Proof % 0.39/0.65 % cvc5 exiting %------------------------------------------------------------------------------