%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC223-1 : 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 : n004.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 08:58:31 AM UTC 2026 % Result : Unsatisfiable 70.64s 70.86s % Output : Proof 70.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC223-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n004.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:26:37 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.52/15.78 --- Run --no-e-matching --full-saturate-quant at 6... % 21.63/21.82 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.63/27.86 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.75/33.90 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.73/64.02 --- Run --trigger-sel=max --full-saturate-quant at 15... % 70.64/70.86 % SZS status Unsatisfiable % 70.64/70.86 % SZS output start Proof % 70.64/70.87 ( % 70.64/70.87 (declare-sort $$unsorted 0) % 70.64/70.87 (declare-const tptp.sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.sk4 $$unsorted) % 70.64/70.87 (declare-const tptp.sk2 $$unsorted) % 70.64/70.87 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.nil $$unsorted) % 70.64/70.87 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.sk1 $$unsorted) % 70.64/70.87 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.skac2 $$unsorted) % 70.64/70.87 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.sk3 $$unsorted) % 70.64/70.87 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.ssList (-> $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skac3 $$unsorted) % 70.64/70.87 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 70.64/70.87 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 70.64/70.87 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 70.64/70.87 (define @t1 () (tptp.ssList tptp.nil)) % 70.64/70.87 (define @t2 () (@var "U" $$unsorted)) % 70.64/70.87 (define @t3 () (tptp.skaf83 @t2)) % 70.64/70.87 (define @t4 () (@list @t2)) % 70.64/70.87 (define @t5 () (tptp.skaf82 @t2)) % 70.64/70.87 (define @t6 () (tptp.skaf81 @t2)) % 70.64/70.87 (define @t7 () (tptp.skaf80 @t2)) % 70.64/70.87 (define @t8 () (tptp.skaf79 @t2)) % 70.64/70.87 (define @t9 () (tptp.skaf78 @t2)) % 70.64/70.87 (define @t10 () (tptp.skaf77 @t2)) % 70.64/70.87 (define @t11 () (tptp.skaf76 @t2)) % 70.64/70.87 (define @t12 () (tptp.skaf75 @t2)) % 70.64/70.87 (define @t13 () (tptp.skaf74 @t2)) % 70.64/70.87 (define @t14 () (tptp.skaf73 @t2)) % 70.64/70.87 (define @t15 () (tptp.skaf72 @t2)) % 70.64/70.87 (define @t16 () (tptp.skaf71 @t2)) % 70.64/70.87 (define @t17 () (tptp.skaf70 @t2)) % 70.64/70.87 (define @t18 () (tptp.skaf69 @t2)) % 70.64/70.87 (define @t19 () (tptp.skaf68 @t2)) % 70.64/70.87 (define @t20 () (tptp.skaf67 @t2)) % 70.64/70.87 (define @t21 () (tptp.skaf66 @t2)) % 70.64/70.87 (define @t22 () (tptp.skaf65 @t2)) % 70.64/70.87 (define @t23 () (tptp.skaf64 @t2)) % 70.64/70.87 (define @t24 () (tptp.skaf63 @t2)) % 70.64/70.87 (define @t25 () (tptp.skaf62 @t2)) % 70.64/70.87 (define @t26 () (tptp.skaf61 @t2)) % 70.64/70.87 (define @t27 () (tptp.skaf60 @t2)) % 70.64/70.87 (define @t28 () (tptp.skaf59 @t2)) % 70.64/70.87 (define @t29 () (tptp.skaf58 @t2)) % 70.64/70.87 (define @t30 () (tptp.skaf57 @t2)) % 70.64/70.87 (define @t31 () (tptp.skaf56 @t2)) % 70.64/70.87 (define @t32 () (tptp.skaf55 @t2)) % 70.64/70.87 (define @t33 () (tptp.skaf54 @t2)) % 70.64/70.87 (define @t34 () (tptp.skaf53 @t2)) % 70.64/70.87 (define @t35 () (tptp.skaf52 @t2)) % 70.64/70.87 (define @t36 () (tptp.skaf51 @t2)) % 70.64/70.87 (define @t37 () (tptp.skaf50 @t2)) % 70.64/70.87 (define @t38 () (tptp.skaf49 @t2)) % 70.64/70.87 (define @t39 () (tptp.skaf44 @t2)) % 70.64/70.87 (define @t40 () (@var "V" $$unsorted)) % 70.64/70.87 (define @t41 () (@list @t2 @t40)) % 70.64/70.87 (define @t42 () (tptp.skaf47 @t2 @t40)) % 70.64/70.87 (define @t43 () (tptp.skaf46 @t2 @t40)) % 70.64/70.87 (define @t44 () (tptp.skaf45 @t2 @t40)) % 70.64/70.87 (define @t45 () (tptp.skaf42 @t2 @t40)) % 70.64/70.87 (define @t46 () (not (tptp.ssItem @t2))) % 70.64/70.87 (define @t47 () (not (tptp.ssList @t2))) % 70.64/70.87 (define @t48 () (tptp.cons @t2 tptp.nil)) % 70.64/70.87 (define @t49 () (tptp.ssItem @t40)) % 70.64/70.87 (define @t50 () (tptp.duplicatefreeP @t2)) % 70.64/70.87 (define @t51 () (tptp.app tptp.nil @t2)) % 70.64/70.87 (define @t52 () (or @t47 (= @t51 @t2))) % 70.64/70.87 (define @t53 () (forall @t4 @t52)) % 70.64/70.87 (define @t54 () (= tptp.nil @t2)) % 70.64/70.87 (define @t55 () (tptp.tl @t2)) % 70.64/70.87 (define @t56 () (tptp.hd @t2)) % 70.64/70.87 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 70.64/70.87 (define @t58 () (not @t54)) % 70.64/70.87 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 70.64/70.87 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 70.64/70.87 (define @t61 () (tptp.app @t40 @t2)) % 70.64/70.87 (define @t62 () (not (tptp.ssList @t40))) % 70.64/70.87 (define @t63 () (tptp.cons @t2 @t40)) % 70.64/70.87 (define @t64 () (tptp.cyclefreeP @t2)) % 70.64/70.87 (define @t65 () (tptp.equalelemsP @t2)) % 70.64/70.87 (define @t66 () (tptp.strictorderedP @t2)) % 70.64/70.87 (define @t67 () (tptp.totalorderedP @t2)) % 70.64/70.87 (define @t68 () (tptp.strictorderP @t2)) % 70.64/70.87 (define @t69 () (tptp.totalorderP @t2)) % 70.64/70.87 (define @t70 () (tptp.hd @t63)) % 70.64/70.87 (define @t71 () (or @t46 @t62 (= @t70 @t2))) % 70.64/70.87 (define @t72 () (forall @t41 @t71)) % 70.64/70.87 (define @t73 () (= @t40 @t2)) % 70.64/70.87 (define @t74 () (tptp.neq @t40 @t2)) % 70.64/70.87 (define @t75 () (not @t49)) % 70.64/70.87 (define @t76 () (tptp.leq @t2 @t40)) % 70.64/70.87 (define @t77 () (tptp.lt @t2 @t40)) % 70.64/70.87 (define @t78 () (not @t77)) % 70.64/70.87 (define @t79 () (tptp.lt @t40 @t2)) % 70.64/70.87 (define @t80 () (not (tptp.gt @t2 @t40))) % 70.64/70.87 (define @t81 () (tptp.gt @t40 @t2)) % 70.64/70.87 (define @t82 () (tptp.leq @t40 @t2)) % 70.64/70.87 (define @t83 () (not (tptp.geq @t2 @t40))) % 70.64/70.87 (define @t84 () (tptp.geq @t40 @t2)) % 70.64/70.87 (define @t85 () (not @t76)) % 70.64/70.87 (define @t86 () (tptp.cons @t3 @t5)) % 70.64/70.87 (define @t87 () (or @t47 (= @t86 @t2) @t54)) % 70.64/70.87 (define @t88 () (forall @t4 @t87)) % 70.64/70.87 (define @t89 () (= @t2 @t40)) % 70.64/70.87 (define @t90 () (not @t89)) % 70.64/70.87 (define @t91 () (tptp.cons @t40 @t2)) % 70.64/70.87 (define @t92 () (not (tptp.neq @t2 @t40))) % 70.64/70.87 (define @t93 () (tptp.app @t2 @t40)) % 70.64/70.87 (define @t94 () (= @t93 tptp.nil)) % 70.64/70.87 (define @t95 () (not @t94)) % 70.64/70.87 (define @t96 () (= tptp.nil @t40)) % 70.64/70.87 (define @t97 () (tptp.app @t48 @t40)) % 70.64/70.87 (define @t98 () (or @t46 @t62 (= @t97 @t63))) % 70.64/70.87 (define @t99 () (forall @t41 @t98)) % 70.64/70.87 (define @t100 () (tptp.hd @t40)) % 70.64/70.87 (define @t101 () (tptp.strictorderedP @t40)) % 70.64/70.87 (define @t102 () (tptp.strictorderedP @t63)) % 70.64/70.87 (define @t103 () (not @t102)) % 70.64/70.87 (define @t104 () (tptp.totalorderedP @t40)) % 70.64/70.87 (define @t105 () (tptp.totalorderedP @t63)) % 70.64/70.87 (define @t106 () (not @t105)) % 70.64/70.87 (define @t107 () (not (tptp.segmentP @t2 @t40))) % 70.64/70.87 (define @t108 () (not (tptp.rearsegP @t2 @t40))) % 70.64/70.87 (define @t109 () (not (tptp.frontsegP @t2 @t40))) % 70.64/70.87 (define @t110 () (not @t82)) % 70.64/70.87 (define @t111 () (tptp.app @t43 @t40)) % 70.64/70.87 (define @t112 () (or @t108 @t62 @t47 (= @t111 @t2))) % 70.64/70.87 (define @t113 () (forall @t41 @t112)) % 70.64/70.87 (define @t114 () (tptp.tl @t40)) % 70.64/70.87 (define @t115 () (tptp.lt @t2 @t100)) % 70.64/70.87 (define @t116 () (tptp.leq @t2 @t100)) % 70.64/70.87 (define @t117 () (@var "W" $$unsorted)) % 70.64/70.87 (define @t118 () (tptp.app @t117 @t2)) % 70.64/70.87 (define @t119 () (not (tptp.ssList @t117))) % 70.64/70.87 (define @t120 () (@list @t2 @t40 @t117)) % 70.64/70.87 (define @t121 () (tptp.app @t2 @t117)) % 70.64/70.87 (define @t122 () (tptp.cons @t40 @t117)) % 70.64/70.87 (define @t123 () (tptp.cons @t117 @t2)) % 70.64/70.87 (define @t124 () (not (tptp.ssItem @t117))) % 70.64/70.87 (define @t125 () (not (tptp.memberP @t2 @t40))) % 70.64/70.87 (define @t126 () (not (= @t93 @t117))) % 70.64/70.87 (define @t127 () (tptp.lt @t2 @t117)) % 70.64/70.87 (define @t128 () (not (tptp.lt @t40 @t117))) % 70.64/70.87 (define @t129 () (tptp.app @t117 @t40)) % 70.64/70.87 (define @t130 () (= @t40 @t117)) % 70.64/70.87 (define @t131 () (= @t2 @t117)) % 70.64/70.87 (define @t132 () (tptp.memberP @t40 @t117)) % 70.64/70.87 (define @t133 () (@var "X" $$unsorted)) % 70.64/70.87 (define @t134 () (not (tptp.ssList @t133))) % 70.64/70.87 (define @t135 () (tptp.cons @t117 @t133)) % 70.64/70.87 (define @t136 () (not (= @t63 @t135))) % 70.64/70.87 (define @t137 () (@list @t2 @t40 @t117 @t133)) % 70.64/70.87 (define @t138 () (not (tptp.frontsegP @t63 @t135))) % 70.64/70.87 (define @t139 () (tptp.app @t2 @t122)) % 70.64/70.87 (define @t140 () (not (tptp.ssItem @t133))) % 70.64/70.87 (define @t141 () (@var "Y" $$unsorted)) % 70.64/70.87 (define @t142 () (not (tptp.ssList @t141))) % 70.64/70.87 (define @t143 () (@list @t2 @t40 @t117 @t133 @t141)) % 70.64/70.87 (define @t144 () (tptp.lt @t40 @t133)) % 70.64/70.87 (define @t145 () (@var "Z" $$unsorted)) % 70.64/70.87 (define @t146 () (not (tptp.ssList @t145))) % 70.64/70.87 (define @t147 () (not (= (tptp.app @t139 (tptp.cons @t133 @t141)) @t145))) % 70.64/70.87 (define @t148 () (@list @t2 @t40 @t117 @t133 @t141 @t145)) % 70.64/70.87 (define @t149 () (tptp.leq @t40 @t133)) % 70.64/70.87 (define @t150 () (tptp.ssList tptp.sk3)) % 70.64/70.87 (define @t151 () (= tptp.nil tptp.sk1)) % 70.64/70.87 (define @t152 () (not @t151)) % 70.64/70.87 (define @t153 () (@var "A" $$unsorted)) % 70.64/70.87 (define @t154 () (@var "B" $$unsorted)) % 70.64/70.87 (define @t155 () (@var "C" $$unsorted)) % 70.64/70.87 (define @t156 () (tptp.sk5 @t155 @t154 @t153)) % 70.64/70.87 (define @t157 () (tptp.ssItem @t156)) % 70.64/70.87 (define @t158 () (tptp.app (tptp.app @t154 (tptp.cons @t153 tptp.nil)) @t155)) % 70.64/70.87 (define @t159 () (not (= @t158 tptp.sk1))) % 70.64/70.87 (define @t160 () (not (tptp.ssList @t155))) % 70.64/70.87 (define @t161 () (not (tptp.ssList @t154))) % 70.64/70.87 (define @t162 () (not (tptp.ssItem @t153))) % 70.64/70.87 (define @t163 () (or @t162 @t161 @t160 @t159 @t157)) % 70.64/70.87 (define @t164 () (@list @t153 @t154 @t155)) % 70.64/70.87 (define @t165 () (forall @t164 @t163)) % 70.64/70.87 (define @t166 () (tptp.memberP @t154 @t156)) % 70.64/70.87 (define @t167 () (or @t162 @t161 @t160 @t159 @t166)) % 70.64/70.87 (define @t168 () (forall @t164 @t167)) % 70.64/70.87 (define @t169 () (@var "D" $$unsorted)) % 70.64/70.87 (define @t170 () (not (tptp.ssItem @t169))) % 70.64/70.87 (define @t171 () (not (= @t158 tptp.sk3))) % 70.64/70.87 (define @t172 () (@list @t153 @t154 @t155 @t169)) % 70.64/70.87 (define @t173 () (tptp.hd tptp.sk3)) % 70.64/70.87 (define @t174 () (tptp.skaf46 tptp.sk3 tptp.sk3)) % 70.64/70.87 (define @t175 () (tptp.skaf82 tptp.sk3)) % 70.64/70.87 (define @t176 () (tptp.sk5 @t175 @t174 @t173)) % 70.64/70.87 (define @t177 () (= tptp.sk1 @t158)) % 70.64/70.87 (define @t178 () (not @t177)) % 70.64/70.87 (define @t179 () (or @t162 @t161 @t160 @t178 @t157)) % 70.64/70.87 (define @t180 () (@list @t173 @t174 @t175)) % 70.64/70.87 (define @t181 () (@list tptp.sk3)) % 70.64/70.87 (define @t182 () (= tptp.nil tptp.sk3)) % 70.64/70.87 (define @t183 () (tptp.skaf83 tptp.sk3)) % 70.64/70.87 (define @t184 () (tptp.cons @t183 @t175)) % 70.64/70.88 (define @t185 () (= tptp.sk3 @t184)) % 70.64/70.88 (define @t186 () (not @t150)) % 70.64/70.88 (define @t187 () (or @t186 @t185 @t182)) % 70.64/70.88 (define @t188 () (@list true false false)) % 70.64/70.88 (define @t189 () (tptp.hd @t184)) % 70.64/70.88 (define @t190 () (@list @t183 @t175)) % 70.64/70.88 (define @t191 () (= @t183 @t189)) % 70.64/70.88 (define @t192 () (tptp.ssList @t175)) % 70.64/70.88 (define @t193 () (not @t192)) % 70.64/70.88 (define @t194 () (tptp.ssItem @t183)) % 70.64/70.88 (define @t195 () (not @t194)) % 70.64/70.88 (define @t196 () (or @t195 @t193 @t191)) % 70.64/70.88 (define @t197 () (@list false false false)) % 70.64/70.88 (define @t198 () (tptp.cons @t183 tptp.nil)) % 70.64/70.88 (define @t199 () (@list tptp.sk3 tptp.sk3)) % 70.64/70.88 (define @t200 () (tptp.rearsegP tptp.sk3 tptp.sk3)) % 70.64/70.88 (define @t201 () (or @t186 @t200)) % 70.64/70.88 (define @t202 () (@list false false)) % 70.64/70.88 (define @t203 () (tptp.app @t174 tptp.sk3)) % 70.64/70.88 (define @t204 () (= tptp.sk3 @t203)) % 70.64/70.88 (define @t205 () (not @t200)) % 70.64/70.88 (define @t206 () (or @t205 @t186 @t186 @t204)) % 70.64/70.88 (define @t207 () (tptp.app tptp.nil tptp.sk3)) % 70.64/70.88 (define @t208 () (= tptp.sk3 @t207)) % 70.64/70.88 (define @t209 () (or @t186 @t208)) % 70.64/70.88 (define @t210 () (= tptp.nil @t174)) % 70.64/70.88 (define @t211 () (tptp.ssList @t174)) % 70.64/70.88 (define @t212 () (not @t211)) % 70.64/70.88 (define @t213 () (not @t1)) % 70.64/70.88 (define @t214 () (= @t207 @t203)) % 70.64/70.88 (define @t215 () (not @t214)) % 70.64/70.88 (define @t216 () (or @t215 @t213 @t186 @t212 @t210)) % 70.64/70.88 (define @t217 () (@list false false false false false)) % 70.64/70.88 (define @t218 () (tptp.cons @t173 tptp.nil)) % 70.64/70.88 (define @t219 () (tptp.app tptp.nil @t218)) % 70.64/70.88 (define @t220 () (tptp.ssItem @t173)) % 70.64/70.88 (define @t221 () (or @t186 @t220 @t182)) % 70.64/70.88 (define @t222 () (tptp.ssList @t218)) % 70.64/70.88 (define @t223 () (not @t220)) % 70.64/70.88 (define @t224 () (or @t223 @t213 @t222)) % 70.64/70.88 (define @t225 () (= @t218 @t219)) % 70.64/70.88 (define @t226 () (not @t222)) % 70.64/70.88 (define @t227 () (or @t226 @t225)) % 70.64/70.88 (define @t228 () (tptp.app @t198 @t175)) % 70.64/70.88 (define @t229 () (= @t184 @t228)) % 70.64/70.88 (define @t230 () (or @t195 @t193 @t229)) % 70.64/70.88 (define @t231 () (tptp.ssItem @t176)) % 70.64/70.88 (define @t232 () (= tptp.sk3 (tptp.app (tptp.app @t174 @t218) @t175))) % 70.64/70.88 (define @t233 () (not @t232)) % 70.64/70.88 (define @t234 () (or @t223 @t212 @t193 @t233 @t231)) % 70.64/70.88 (define @t235 () (not @t231)) % 70.64/70.88 (define @t236 () (not (tptp.memberP tptp.nil @t176))) % 70.64/70.88 (define @t237 () (or @t236 @t235)) % 70.64/70.88 (define @t238 () (tptp.memberP @t174 @t176)) % 70.64/70.88 (define @t239 () (or @t162 @t161 @t160 @t178 @t166)) % 70.64/70.88 (define @t240 () (or @t223 @t212 @t193 @t233 @t238)) % 70.64/70.88 (assume @p1 (tptp.equalelemsP tptp.nil)) % 70.64/70.88 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 70.64/70.88 (assume @p3 (tptp.strictorderedP tptp.nil)) % 70.64/70.88 (assume @p4 (tptp.totalorderedP tptp.nil)) % 70.64/70.88 (assume @p5 (tptp.strictorderP tptp.nil)) % 70.64/70.88 (assume @p6 (tptp.totalorderP tptp.nil)) % 70.64/70.88 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 70.64/70.88 (assume @p8 @t1) % 70.64/70.88 (assume @p9 (tptp.ssItem tptp.skac3)) % 70.64/70.88 (assume @p10 (tptp.ssItem tptp.skac2)) % 70.64/70.88 (assume @p11 (not (tptp.singletonP tptp.nil))) % 70.64/70.88 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 70.64/70.88 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 70.64/70.88 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 70.64/70.88 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 70.64/70.88 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 70.64/70.88 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 70.64/70.88 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 70.64/70.88 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 70.64/70.88 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 70.64/70.88 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 70.64/70.88 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 70.64/70.88 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 70.64/70.88 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 70.64/70.88 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 70.64/70.88 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 70.64/70.88 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 70.64/70.88 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 70.64/70.88 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 70.64/70.88 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 70.64/70.88 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 70.64/70.88 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 70.64/70.88 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 70.64/70.88 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 70.64/70.88 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 70.64/70.88 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 70.64/70.88 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 70.64/70.88 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 70.64/70.88 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 70.64/70.88 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 70.64/70.88 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 70.64/70.88 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 70.64/70.88 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 70.64/70.88 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 70.64/70.88 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 70.64/70.88 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 70.64/70.88 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 70.64/70.88 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 70.64/70.88 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 70.64/70.88 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 70.64/70.88 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 70.64/70.88 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 70.64/70.88 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 70.64/70.88 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 70.64/70.88 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 70.64/70.88 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 70.64/70.88 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 70.64/70.88 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 70.64/70.88 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 70.64/70.88 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 70.64/70.88 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 70.64/70.88 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 70.64/70.88 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 70.64/70.88 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 70.64/70.88 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 70.64/70.88 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 70.64/70.88 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 70.64/70.88 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 70.64/70.88 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 70.64/70.88 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 70.64/70.88 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 70.64/70.88 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 70.64/70.88 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 70.64/70.88 (assume @p74 @t53) % 70.64/70.88 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 70.64/70.88 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 70.64/70.88 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 70.64/70.88 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 70.64/70.88 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 70.64/70.88 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 70.64/70.88 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 70.64/70.88 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 70.64/70.88 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 70.64/70.88 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 70.64/70.88 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 70.64/70.88 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 70.64/70.88 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 70.64/70.88 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 70.64/70.88 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 70.64/70.88 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 70.64/70.88 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 70.64/70.88 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 70.64/70.88 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 70.64/70.88 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 70.64/70.88 (assume @p95 @t72) % 70.64/70.88 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 70.64/70.88 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 70.64/70.88 (assume @p98 (forall @t41 (or @t47 @t62 @t74 @t73))) % 70.64/70.88 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 70.64/70.88 (assume @p100 (forall @t41 (or @t46 @t75 @t74 @t73))) % 70.64/70.88 (assume @p101 (forall @t41 (or @t78 @t75 @t46 @t76))) % 70.64/70.88 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 70.64/70.88 (assume @p103 (forall @t41 (or @t80 @t75 @t46 @t79))) % 70.64/70.88 (assume @p104 (forall @t41 (or @t78 @t46 @t75 @t81))) % 70.64/70.88 (assume @p105 (forall @t41 (or @t83 @t75 @t46 @t82))) % 70.64/70.88 (assume @p106 (forall @t41 (or @t85 @t46 @t75 @t84))) % 70.64/70.88 (assume @p107 @t88) % 70.64/70.88 (assume @p108 (forall @t41 (or @t80 (not @t81) @t46 @t75))) % 70.64/70.88 (assume @p109 (forall @t41 (or @t90 @t78 @t75 @t46))) % 70.64/70.88 (assume @p110 (forall @t41 (or @t58 @t47 @t75 (tptp.strictorderedP @t91)))) % 70.64/70.88 (assume @p111 (forall @t41 (or @t58 @t47 @t75 (tptp.totalorderedP @t91)))) % 70.64/70.88 (assume @p112 (forall @t41 (or @t78 (not @t79) @t46 @t75))) % 70.64/70.88 (assume @p113 (forall @t41 (or @t90 @t92 @t62 @t47))) % 70.64/70.88 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 70.64/70.88 (assume @p115 (forall @t41 (or @t90 @t92 @t75 @t46))) % 70.64/70.88 (assume @p116 (forall @t41 (or @t95 @t62 @t47 @t54))) % 70.64/70.88 (assume @p117 (forall @t41 (or @t95 @t62 @t47 @t96))) % 70.64/70.88 (assume @p118 @t99) % 70.64/70.88 (assume @p119 (forall @t41 (or @t85 @t75 @t46 @t77 @t89))) % 70.64/70.88 (assume @p120 (forall @t41 (or @t47 @t62 @t96 (= (tptp.hd @t61) @t100)))) % 70.64/70.88 (assume @p121 (forall @t41 (or @t103 @t62 @t46 @t101 @t96))) % 70.64/70.88 (assume @p122 (forall @t41 (or @t106 @t62 @t46 @t104 @t96))) % 70.64/70.88 (assume @p123 (forall @t41 (or @t83 (not @t84) @t46 @t75 @t73))) % 70.64/70.88 (assume @p124 (forall @t41 (or @t107 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t73))) % 70.64/70.88 (assume @p125 (forall @t41 (or @t108 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t73))) % 70.64/70.88 (assume @p126 (forall @t41 (or @t109 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t73))) % 70.64/70.88 (assume @p127 (forall @t41 (or @t85 @t110 @t46 @t75 @t73))) % 70.64/70.88 (assume @p128 @t113) % 70.64/70.88 (assume @p129 (forall @t41 (or @t109 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 70.64/70.88 (assume @p130 (forall @t41 (or @t47 @t62 @t96 (= (tptp.tl @t61) (tptp.app @t114 @t2))))) % 70.64/70.88 (assume @p131 (forall @t41 (or @t103 @t62 @t46 @t115 @t96))) % 70.64/70.88 (assume @p132 (forall @t41 (or @t106 @t62 @t46 @t116 @t96))) % 70.64/70.88 (assume @p133 (forall @t120 (or @t108 @t119 @t62 @t47 (tptp.rearsegP @t118 @t40)))) % 70.64/70.88 (assume @p134 (forall @t120 (or @t109 @t119 @t62 @t47 (tptp.frontsegP @t121 @t40)))) % 70.64/70.88 (assume @p135 (forall @t120 (or @t90 @t119 @t75 @t46 (tptp.memberP @t122 @t2)))) % 70.64/70.88 (assume @p136 (forall @t120 (or @t125 @t47 @t124 @t75 (tptp.memberP @t123 @t40)))) % 70.64/70.88 (assume @p137 (forall @t120 (or @t125 @t119 @t47 @t75 (tptp.memberP @t121 @t40)))) % 70.64/70.88 (assume @p138 (forall @t120 (or @t125 @t47 @t119 @t75 (tptp.memberP @t118 @t40)))) % 70.64/70.88 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 70.64/70.88 (assume @p140 (forall @t120 (or @t126 @t47 @t62 @t119 (tptp.rearsegP @t117 @t40)))) % 70.64/70.88 (assume @p141 (forall @t120 (or @t126 @t62 @t47 @t119 (tptp.frontsegP @t117 @t2)))) % 70.64/70.88 (assume @p142 (forall @t41 (or @t58 (not @t96) @t62 @t47 @t94))) % 70.64/70.88 (assume @p143 (forall @t120 (or @t80 (not (tptp.gt @t40 @t117)) @t124 @t75 @t46 (tptp.gt @t2 @t117)))) % 70.64/70.88 (assume @p144 (forall @t120 (or @t85 @t128 @t124 @t75 @t46 @t127))) % 70.64/70.88 (assume @p145 (forall @t120 (or @t83 (not (tptp.geq @t40 @t117)) @t124 @t75 @t46 (tptp.geq @t2 @t117)))) % 70.64/70.88 (assume @p146 (forall @t120 (or @t47 @t62 @t119 (= (tptp.app @t129 @t2) (tptp.app @t117 @t61))))) % 70.64/70.88 (assume @p147 (forall @t120 (or (not (= @t93 @t121)) @t62 @t47 @t119 @t130))) % 70.64/70.88 (assume @p148 (forall @t120 (or (not (= @t93 @t129)) @t47 @t62 @t119 @t131))) % 70.64/70.88 (assume @p149 (forall @t120 (or @t107 (not (tptp.segmentP @t40 @t117)) @t119 @t62 @t47 (tptp.segmentP @t2 @t117)))) % 70.64/70.88 (assume @p150 (forall @t120 (or @t108 (not (tptp.rearsegP @t40 @t117)) @t119 @t62 @t47 (tptp.rearsegP @t2 @t117)))) % 70.64/70.88 (assume @p151 (forall @t120 (or @t109 (not (tptp.frontsegP @t40 @t117)) @t119 @t62 @t47 (tptp.frontsegP @t2 @t117)))) % 70.64/70.88 (assume @p152 (forall @t120 (or @t78 @t128 @t124 @t75 @t46 @t127))) % 70.64/70.88 (assume @p153 (forall @t120 (or @t85 (not (tptp.leq @t40 @t117)) @t124 @t75 @t46 (tptp.leq @t2 @t117)))) % 70.64/70.88 (assume @p154 (forall @t120 (or @t46 @t62 @t119 (= (tptp.cons @t2 (tptp.app @t40 @t117)) (tptp.app @t63 @t117))))) % 70.64/70.88 (assume @p155 (forall @t120 (or (not (tptp.memberP @t93 @t117)) @t62 @t47 @t124 @t132 (tptp.memberP @t2 @t117)))) % 70.64/70.88 (assume @p156 (forall @t41 (or (not @t116) (not @t104) @t62 @t46 @t105 @t96))) % 70.64/70.88 (assume @p157 (forall @t41 (or (not @t115) (not @t101) @t62 @t46 @t102 @t96))) % 70.64/70.88 (assume @p158 (forall @t120 (or (not (tptp.memberP @t63 @t117)) @t62 @t46 @t124 @t132 (= @t117 @t2)))) % 70.64/70.88 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 70.64/70.88 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 70.64/70.88 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 70.64/70.88 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 70.64/70.88 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 70.64/70.88 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 70.64/70.88 (assume @p165 (forall @t41 (or @t107 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 70.64/70.88 (assume @p166 (forall @t41 (or @t125 @t75 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 70.64/70.88 (assume @p167 (forall @t137 (or @t136 @t124 @t46 @t134 @t62 @t131))) % 70.64/70.88 (assume @p168 (forall @t137 (or @t136 @t124 @t46 @t134 @t62 (= @t133 @t40)))) % 70.64/70.88 (assume @p169 (forall @t137 (or @t107 @t119 @t134 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t133 @t2) @t117) @t40)))) % 70.64/70.88 (assume @p170 (forall @t137 (or (not (= (tptp.app @t93 @t117) @t133)) @t119 @t47 @t62 @t134 (tptp.segmentP @t133 @t40)))) % 70.64/70.88 (assume @p171 (forall @t137 (or @t138 @t134 @t62 @t124 @t46 (tptp.frontsegP @t40 @t133)))) % 70.64/70.88 (assume @p172 (forall @t137 (or (not (= @t139 @t133)) @t119 @t47 @t75 @t134 (tptp.memberP @t133 @t40)))) % 70.64/70.88 (assume @p173 (forall @t137 (or @t138 @t134 @t62 @t124 @t46 @t131))) % 70.64/70.88 (assume @p174 (forall @t41 (or (not (= @t55 @t114)) (not (= @t56 @t100)) @t47 @t62 @t96 @t89 @t54))) % 70.64/70.88 (assume @p175 (forall @t137 (or @t109 (not (= @t117 @t133)) @t62 @t47 @t140 @t124 (tptp.frontsegP @t123 (tptp.cons @t133 @t40))))) % 70.64/70.88 (assume @p176 (forall @t143 (or (not (= (tptp.app @t139 (tptp.cons @t40 @t133)) @t141)) @t134 @t119 @t47 @t75 (not (tptp.duplicatefreeP @t141)) @t142))) % 70.64/70.88 (assume @p177 (forall @t143 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t135)) @t141)) @t134 @t47 @t124 @t75 (not (tptp.equalelemsP @t141)) @t142 @t130))) % 70.64/70.88 (assume @p178 (forall @t148 (or @t147 @t142 @t119 @t47 @t140 @t75 (not (tptp.strictorderedP @t145)) @t146 @t144))) % 70.64/70.88 (assume @p179 (forall @t148 (or @t147 @t142 @t119 @t47 @t140 @t75 (not (tptp.totalorderedP @t145)) @t146 @t149))) % 70.64/70.88 (assume @p180 (forall @t148 (or @t147 @t142 @t119 @t47 @t140 @t75 (not (tptp.strictorderP @t145)) @t146 @t144 (tptp.lt @t133 @t40)))) % 70.64/70.88 (assume @p181 (forall @t148 (or @t147 @t142 @t119 @t47 @t140 @t75 (not (tptp.totalorderP @t145)) @t146 @t149 (tptp.leq @t133 @t40)))) % 70.64/70.88 (assume @p182 (forall @t148 (or @t85 @t110 (not (= (tptp.app (tptp.app @t117 (tptp.cons @t2 @t133)) (tptp.cons @t40 @t141)) @t145)) @t142 @t134 @t119 @t75 @t46 (not (tptp.cyclefreeP @t145)) @t146))) % 70.64/70.88 (assume @p183 (tptp.ssList tptp.sk1)) % 70.64/70.88 (assume @p184 (tptp.ssList tptp.sk2)) % 70.64/70.88 (assume @p185 @t150) % 70.64/70.88 (assume @p186 (tptp.ssList tptp.sk4)) % 70.64/70.88 (assume @p187 (= tptp.sk2 tptp.sk4)) % 70.64/70.88 (assume @p188 (= tptp.sk1 tptp.sk3)) % 70.64/70.88 (assume @p189 @t152) % 70.64/70.88 (assume @p190 @t165) % 70.64/70.88 (assume @p191 @t168) % 70.64/70.88 (assume @p192 (forall @t164 (or @t162 @t161 @t160 @t159 (tptp.memberP @t155 @t156)))) % 70.64/70.88 (assume @p193 (forall @t164 (or @t162 @t161 @t160 @t159 (tptp.leq @t153 @t156)))) % 70.64/70.88 (assume @p194 (forall @t164 (or @t162 @t161 @t160 @t159 (not (tptp.leq @t156 @t153))))) % 70.64/70.88 (assume @p195 (forall @t172 (or @t162 @t161 @t160 @t171 @t170 (tptp.leq @t153 @t169) (not (tptp.memberP @t155 @t169))))) % 70.64/70.88 (assume @p196 (forall @t172 (or @t162 @t161 @t160 @t171 @t170 (tptp.leq @t169 @t153) (not (tptp.memberP @t154 @t169))))) % 70.64/70.88 (step @p197 :rule evaluate :args ((= true false))) % 70.64/70.88 (step @p198 :rule instantiate :premises (@p71) :args ((@list @t176))) % 70.64/70.88 (step @p199 :rule refl :args (@t157)) % 70.64/70.88 (step @p200 :rule refl :args (@t158)) % 70.64/70.88 (step @p201 :rule cong :premises (@p188 @p200) :args (@t177)) % 70.64/70.88 (step @p202 :rule cong :premises (@p201) :args (@t178)) % 70.64/70.88 (step @p203 :rule refl :args (@t160)) % 70.64/70.88 (step @p204 :rule refl :args (@t161)) % 70.64/70.88 (step @p205 :rule refl :args (@t162)) % 70.64/70.88 (step @p206 :rule nary_cong :premises (@p205 @p204 @p203 @p202 @p199) :args (@t179)) % 70.64/70.88 (step @p207 :rule cong :premises (@p206) :args ((forall @t164 @t179))) % 70.64/70.88 (step @p208 :rule eq-symm :args (@t158 tptp.sk1)) % 70.64/70.88 (step @p209 :rule cong :premises (@p208) :args (@t159)) % 70.64/70.88 (step @p210 :rule nary_cong :premises (@p205 @p204 @p203 @p209 @p199) :args (@t163)) % 70.64/70.88 (step @p211 :rule cong :premises (@p210) :args (@t165)) % 70.64/70.88 (step @p212 :rule trans :premises (@p211 @p207)) % 70.64/70.88 (step @p213 :rule eq_resolve :premises (@p190 @p212)) % 70.64/70.88 (step @p214 :rule instantiate :premises (@p213) :args (@t180)) % 70.64/70.88 (step @p215 :rule refl :args (@t175)) % 70.64/70.88 (step @p216 :rule refl :args (tptp.nil)) % 70.64/70.88 (step @p217 :rule refl :args (@t54)) % 70.64/70.88 (step @p218 :rule eq-symm :args (@t86 @t2)) % 70.64/70.88 (step @p219 :rule refl :args (@t47)) % 70.64/70.88 (step @p220 :rule nary_cong :premises (@p219 @p218 @p217) :args (@t87)) % 70.64/70.88 (step @p221 :rule cong :premises (@p220) :args (@t88)) % 70.64/70.88 (step @p222 :rule eq_resolve :premises (@p107 @p221)) % 70.64/70.88 (step @p223 :rule instantiate :premises (@p222) :args (@t181)) % 70.64/70.88 (step @p224 :rule cong :premises (@p216 @p188) :args (@t151)) % 70.64/70.88 (step @p225 :rule cong :premises (@p224) :args (@t152)) % 70.64/70.88 (step @p226 :rule eq_resolve :premises (@p189 @p225)) % 70.64/70.88 (step @p227 :rule cnf_or_pos :args (@t187)) % 70.64/70.88 (step @p228 :rule reordering :premises (@p227) :args ((or @t182 @t186 @t185 (not @t187)))) % 70.64/70.88 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p185 @p223) :args (@t185 @t188 (@list @t182 @t150 @t187))) % 70.64/70.88 (step @p230 :rule symm :premises (@p229)) % 70.64/70.88 (step @p231 :rule cong :premises (@p230) :args (@t189)) % 70.64/70.88 (step @p232 :rule eq-symm :args (@t70 @t2)) % 70.64/70.88 (step @p233 :rule refl :args (@t62)) % 70.64/70.88 (step @p234 :rule refl :args (@t46)) % 70.64/70.88 (step @p235 :rule nary_cong :premises (@p234 @p233 @p232) :args (@t71)) % 70.64/70.88 (step @p236 :rule cong :premises (@p235) :args (@t72)) % 70.64/70.88 (step @p237 :rule eq_resolve :premises (@p95 @p236)) % 70.64/70.88 (step @p238 :rule instantiate :premises (@p237) :args (@t190)) % 70.64/70.88 (step @p239 :rule instantiate :premises (@p13) :args (@t181)) % 70.64/70.88 (step @p240 :rule instantiate :premises (@p12) :args (@t181)) % 70.64/70.88 (step @p241 :rule cnf_or_pos :args (@t196)) % 70.64/70.88 (step @p242 :rule reordering :premises (@p241) :args ((or @t195 @t193 @t191 (not @t196)))) % 70.64/70.88 (step @p243 :rule chain_m_resolution :premises (@p242 @p240 @p239 @p238) :args (@t191 @t197 (@list @t194 @t192 @t196))) % 70.64/70.88 (step @p244 :rule trans :premises (@p243 @p231)) % 70.64/70.88 (step @p245 :rule cong :premises (@p244 @p216) :args (@t198)) % 70.64/70.88 (step @p246 :rule instantiate :premises (@p148) :args ((@list tptp.nil tptp.sk3 @t174))) % 70.64/70.88 (step @p247 :rule instantiate :premises (@p50) :args (@t199)) % 70.64/70.88 (step @p248 :rule eq-symm :args (@t111 @t2)) % 70.64/70.88 (step @p249 :rule refl :args (@t108)) % 70.64/70.88 (step @p250 :rule nary_cong :premises (@p249 @p233 @p219 @p248) :args (@t112)) % 70.64/70.88 (step @p251 :rule cong :premises (@p250) :args (@t113)) % 70.64/70.88 (step @p252 :rule eq_resolve :premises (@p128 @p251)) % 70.64/70.88 (step @p253 :rule instantiate :premises (@p252) :args (@t199)) % 70.64/70.88 (step @p254 :rule instantiate :premises (@p59) :args (@t181)) % 70.64/70.88 (step @p255 :rule cnf_or_pos :args (@t201)) % 70.64/70.88 (step @p256 :rule reordering :premises (@p255) :args ((or @t186 @t200 (not @t201)))) % 70.64/70.88 (step @p257 :rule chain_m_resolution :premises (@p256 @p185 @p254) :args (@t200 @t202 (@list @t150 @t201))) % 70.64/70.88 (step @p258 :rule cnf_or_pos :args (@t206)) % 70.64/70.88 (step @p259 :rule factoring :premises (@p258)) % 70.64/70.88 (step @p260 :rule reordering :premises (@p259) :args ((or @t186 @t205 @t204 (not @t206)))) % 70.64/70.88 (step @p261 :rule chain_m_resolution :premises (@p260 @p185 @p257 @p253) :args (@t204 @t197 (@list @t150 @t200 @t206))) % 70.64/70.88 (step @p262 :rule eq-symm :args (@t51 @t2)) % 70.64/70.88 (step @p263 :rule nary_cong :premises (@p219 @p262) :args (@t52)) % 70.64/70.88 (step @p264 :rule cong :premises (@p263) :args (@t53)) % 70.64/70.88 (step @p265 :rule eq_resolve :premises (@p74 @p264)) % 70.64/70.88 (step @p266 :rule instantiate :premises (@p265) :args (@t181)) % 70.64/70.88 (step @p267 :rule cnf_or_pos :args (@t209)) % 70.64/70.88 (step @p268 :rule reordering :premises (@p267) :args ((or @t186 @t208 (not @t209)))) % 70.64/70.88 (step @p269 :rule chain_m_resolution :premises (@p268 @p185 @p266) :args (@t208 @t202 (@list @t150 @t209))) % 70.64/70.88 (step @p270 :rule symm :premises (@p269)) % 70.64/70.88 (step @p271 :rule trans :premises (@p270 @p261)) % 70.64/70.88 (step @p272 :rule cnf_or_pos :args (@t216)) % 70.64/70.88 (step @p273 :rule reordering :premises (@p272) :args ((or @t213 @t186 @t215 @t212 @t210 (not @t216)))) % 70.64/70.88 (step @p274 :rule chain_m_resolution :premises (@p273 @p8 @p185 @p271 @p247 @p246) :args (@t210 @t217 (@list @t1 @t150 @t214 @t211 @t216))) % 70.64/70.88 (step @p275 :rule cong :premises (@p274 @p245) :args ((tptp.app tptp.nil @t198))) % 70.64/70.88 (step @p276 :rule symm :premises (@p245)) % 70.64/70.88 (step @p277 :rule cong :premises (@p216 @p276) :args (@t219)) % 70.64/70.88 (step @p278 :rule instantiate :premises (@p265) :args ((@list @t218))) % 70.64/70.88 (step @p279 :rule instantiate :premises (@p84) :args ((@list @t173 tptp.nil))) % 70.64/70.88 (step @p280 :rule instantiate :premises (@p76) :args (@t181)) % 70.64/70.88 (step @p281 :rule cnf_or_pos :args (@t221)) % 70.64/70.88 (step @p282 :rule reordering :premises (@p281) :args ((or @t182 @t186 @t220 (not @t221)))) % 70.64/70.88 (step @p283 :rule chain_m_resolution :premises (@p282 @p226 @p185 @p280) :args (@t220 @t188 (@list @t182 @t150 @t221))) % 70.64/70.88 (step @p284 :rule cnf_or_pos :args (@t224)) % 70.64/70.88 (step @p285 :rule reordering :premises (@p284) :args ((or @t213 @t223 @t222 (not @t224)))) % 70.64/70.88 (step @p286 :rule chain_m_resolution :premises (@p285 @p8 @p283 @p279) :args (@t222 @t197 (@list @t1 @t220 @t224))) % 70.64/70.88 (step @p287 :rule cnf_or_pos :args (@t227)) % 70.64/70.88 (step @p288 :rule reordering :premises (@p287) :args ((or @t226 @t225 (not @t227)))) % 70.64/70.88 (step @p289 :rule chain_m_resolution :premises (@p288 @p286 @p278) :args (@t225 @t202 (@list @t222 @t227))) % 70.64/70.88 (step @p290 :rule trans :premises (@p289 @p277 @p275)) % 70.64/70.88 (step @p291 :rule trans :premises (@p245 @p290)) % 70.64/70.88 (step @p292 :rule cong :premises (@p291 @p215) :args (@t228)) % 70.64/70.88 (step @p293 :rule eq-symm :args (@t97 @t63)) % 70.64/70.88 (step @p294 :rule nary_cong :premises (@p234 @p233 @p293) :args (@t98)) % 70.64/70.88 (step @p295 :rule cong :premises (@p294) :args (@t99)) % 70.64/70.88 (step @p296 :rule eq_resolve :premises (@p118 @p295)) % 70.64/70.88 (step @p297 :rule instantiate :premises (@p296) :args (@t190)) % 70.64/70.88 (step @p298 :rule cnf_or_pos :args (@t230)) % 70.64/70.88 (step @p299 :rule reordering :premises (@p298) :args ((or @t195 @t193 @t229 (not @t230)))) % 70.64/70.88 (step @p300 :rule chain_m_resolution :premises (@p299 @p240 @p239 @p297) :args (@t229 @t197 (@list @t194 @t192 @t230))) % 70.64/70.88 (step @p301 :rule trans :premises (@p229 @p300 @p292)) % 70.64/70.88 (step @p302 :rule cnf_or_pos :args (@t234)) % 70.64/70.88 (step @p303 :rule reordering :premises (@p302) :args ((or @t223 @t193 @t212 @t233 @t231 (not @t234)))) % 70.64/70.88 (step @p304 :rule chain_m_resolution :premises (@p303 @p283 @p239 @p247 @p301 @p214) :args (@t231 @t217 (@list @t220 @t192 @t211 @t232 @t234))) % 70.64/70.88 (step @p305 :rule cnf_or_pos :args (@t237)) % 70.64/70.88 (step @p306 :rule reordering :premises (@p305) :args ((or @t235 @t236 (not @t237)))) % 70.64/70.88 (step @p307 :rule chain_m_resolution :premises (@p306 @p304 @p198) :args (@t236 @t202 (@list @t231 @t237))) % 70.64/70.88 (step @p308 :rule false_intro :premises (@p307)) % 70.64/70.88 (step @p309 :rule refl :args (@t176)) % 70.64/70.88 (step @p310 :rule symm :premises (@p274)) % 70.64/70.88 (step @p311 :rule cong :premises (@p310 @p309) :args (@t238)) % 70.64/70.88 (step @p312 :rule refl :args (@t166)) % 70.64/70.88 (step @p313 :rule nary_cong :premises (@p205 @p204 @p203 @p202 @p312) :args (@t239)) % 70.64/70.88 (step @p314 :rule cong :premises (@p313) :args ((forall @t164 @t239))) % 70.64/70.88 (step @p315 :rule nary_cong :premises (@p205 @p204 @p203 @p209 @p312) :args (@t167)) % 70.64/70.88 (step @p316 :rule cong :premises (@p315) :args (@t168)) % 70.64/70.88 (step @p317 :rule trans :premises (@p316 @p314)) % 70.64/70.88 (step @p318 :rule eq_resolve :premises (@p191 @p317)) % 70.64/70.88 (step @p319 :rule instantiate :premises (@p318) :args (@t180)) % 70.64/70.88 (step @p320 :rule cnf_or_pos :args (@t240)) % 70.64/70.88 (step @p321 :rule reordering :premises (@p320) :args ((or @t223 @t193 @t212 @t233 @t238 (not @t240)))) % 70.64/70.88 (step @p322 :rule chain_m_resolution :premises (@p321 @p283 @p239 @p247 @p301 @p319) :args (@t238 @t217 (@list @t220 @t192 @t211 @t232 @t240))) % 70.64/70.88 (step @p323 :rule true_intro :premises (@p322)) % 70.64/70.88 (step @p324 :rule symm :premises (@p323)) % 70.64/70.88 (step @p325 :rule trans :premises (@p324 @p311 @p308)) % 70.64/70.88 (step @p326 false :rule eq_resolve :premises (@p325 @p197)) % 70.64/70.88 ) % 70.64/70.88 % SZS output end Proof % 70.64/70.88 % cvc5 exiting %------------------------------------------------------------------------------