%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC117-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:58:07 AM UTC 2026 % Result : Unsatisfiable 64.05s 64.91s % Output : Proof 64.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC117-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:16:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.72/15.97 --- Run --no-e-matching --full-saturate-quant at 6... % 21.73/22.01 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.86/28.05 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.86/34.11 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.96/64.18 --- Run --trigger-sel=max --full-saturate-quant at 15... % 64.05/64.91 % SZS status Unsatisfiable % 64.05/64.91 % SZS output start Proof % 64.05/64.92 ( % 64.05/64.92 (declare-sort $$unsorted 0) % 64.05/64.92 (declare-const tptp.sk4 $$unsorted) % 64.05/64.92 (declare-const tptp.sk2 $$unsorted) % 64.05/64.92 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.nil $$unsorted) % 64.05/64.92 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.sk1 $$unsorted) % 64.05/64.92 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.skac2 $$unsorted) % 64.05/64.92 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.sk3 $$unsorted) % 64.05/64.92 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.ssList (-> $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skac3 $$unsorted) % 64.05/64.92 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 64.05/64.92 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 64.05/64.92 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 64.05/64.92 (define @t1 () (tptp.ssList tptp.nil)) % 64.05/64.92 (define @t2 () (@var "U" $$unsorted)) % 64.05/64.92 (define @t3 () (tptp.skaf83 @t2)) % 64.05/64.92 (define @t4 () (@list @t2)) % 64.05/64.92 (define @t5 () (tptp.skaf82 @t2)) % 64.05/64.92 (define @t6 () (tptp.skaf81 @t2)) % 64.05/64.92 (define @t7 () (tptp.skaf80 @t2)) % 64.05/64.92 (define @t8 () (tptp.skaf79 @t2)) % 64.05/64.92 (define @t9 () (tptp.skaf78 @t2)) % 64.05/64.92 (define @t10 () (tptp.skaf77 @t2)) % 64.05/64.92 (define @t11 () (tptp.skaf76 @t2)) % 64.05/64.92 (define @t12 () (tptp.skaf75 @t2)) % 64.05/64.92 (define @t13 () (tptp.skaf74 @t2)) % 64.05/64.92 (define @t14 () (tptp.skaf73 @t2)) % 64.05/64.92 (define @t15 () (tptp.skaf72 @t2)) % 64.05/64.92 (define @t16 () (tptp.skaf71 @t2)) % 64.05/64.92 (define @t17 () (tptp.skaf70 @t2)) % 64.05/64.92 (define @t18 () (tptp.skaf69 @t2)) % 64.05/64.92 (define @t19 () (tptp.skaf68 @t2)) % 64.05/64.92 (define @t20 () (tptp.skaf67 @t2)) % 64.05/64.92 (define @t21 () (tptp.skaf66 @t2)) % 64.05/64.92 (define @t22 () (tptp.skaf65 @t2)) % 64.05/64.92 (define @t23 () (tptp.skaf64 @t2)) % 64.05/64.92 (define @t24 () (tptp.skaf63 @t2)) % 64.05/64.92 (define @t25 () (tptp.skaf62 @t2)) % 64.05/64.92 (define @t26 () (tptp.skaf61 @t2)) % 64.05/64.92 (define @t27 () (tptp.skaf60 @t2)) % 64.05/64.92 (define @t28 () (tptp.skaf59 @t2)) % 64.05/64.92 (define @t29 () (tptp.skaf58 @t2)) % 64.05/64.92 (define @t30 () (tptp.skaf57 @t2)) % 64.05/64.92 (define @t31 () (tptp.skaf56 @t2)) % 64.05/64.92 (define @t32 () (tptp.skaf55 @t2)) % 64.05/64.92 (define @t33 () (tptp.skaf54 @t2)) % 64.05/64.92 (define @t34 () (tptp.skaf53 @t2)) % 64.05/64.92 (define @t35 () (tptp.skaf52 @t2)) % 64.05/64.92 (define @t36 () (tptp.skaf51 @t2)) % 64.05/64.92 (define @t37 () (tptp.skaf50 @t2)) % 64.05/64.92 (define @t38 () (tptp.skaf49 @t2)) % 64.05/64.92 (define @t39 () (tptp.skaf44 @t2)) % 64.05/64.92 (define @t40 () (@var "V" $$unsorted)) % 64.05/64.92 (define @t41 () (@list @t2 @t40)) % 64.05/64.92 (define @t42 () (tptp.skaf47 @t2 @t40)) % 64.05/64.92 (define @t43 () (tptp.skaf46 @t2 @t40)) % 64.05/64.92 (define @t44 () (tptp.skaf45 @t2 @t40)) % 64.05/64.92 (define @t45 () (tptp.skaf42 @t2 @t40)) % 64.05/64.92 (define @t46 () (not (tptp.ssItem @t2))) % 64.05/64.92 (define @t47 () (not (tptp.ssList @t2))) % 64.05/64.92 (define @t48 () (tptp.cons @t2 tptp.nil)) % 64.05/64.92 (define @t49 () (tptp.ssItem @t40)) % 64.05/64.92 (define @t50 () (tptp.duplicatefreeP @t2)) % 64.05/64.92 (define @t51 () (tptp.app tptp.nil @t2)) % 64.05/64.92 (define @t52 () (or @t47 (= @t51 @t2))) % 64.05/64.92 (define @t53 () (forall @t4 @t52)) % 64.05/64.92 (define @t54 () (= tptp.nil @t2)) % 64.05/64.92 (define @t55 () (tptp.tl @t2)) % 64.05/64.92 (define @t56 () (tptp.hd @t2)) % 64.05/64.92 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 64.05/64.92 (define @t58 () (not @t54)) % 64.05/64.92 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 64.05/64.92 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 64.05/64.92 (define @t61 () (tptp.app @t40 @t2)) % 64.05/64.92 (define @t62 () (not (tptp.ssList @t40))) % 64.05/64.92 (define @t63 () (tptp.cons @t2 @t40)) % 64.05/64.92 (define @t64 () (tptp.cyclefreeP @t2)) % 64.05/64.92 (define @t65 () (tptp.equalelemsP @t2)) % 64.05/64.92 (define @t66 () (tptp.strictorderedP @t2)) % 64.05/64.92 (define @t67 () (tptp.totalorderedP @t2)) % 64.05/64.92 (define @t68 () (tptp.strictorderP @t2)) % 64.05/64.92 (define @t69 () (tptp.totalorderP @t2)) % 64.05/64.92 (define @t70 () (tptp.tl @t63)) % 64.05/64.92 (define @t71 () (or @t46 @t62 (= @t70 @t40))) % 64.05/64.92 (define @t72 () (forall @t41 @t71)) % 64.05/64.92 (define @t73 () (tptp.hd @t63)) % 64.05/64.92 (define @t74 () (or @t46 @t62 (= @t73 @t2))) % 64.05/64.92 (define @t75 () (forall @t41 @t74)) % 64.05/64.92 (define @t76 () (not (= @t63 tptp.nil))) % 64.05/64.92 (define @t77 () (or @t76 @t46 @t62)) % 64.05/64.92 (define @t78 () (forall @t41 @t77)) % 64.05/64.92 (define @t79 () (= @t40 @t2)) % 64.05/64.92 (define @t80 () (tptp.neq @t40 @t2)) % 64.05/64.92 (define @t81 () (or @t47 @t62 @t80 @t79)) % 64.05/64.92 (define @t82 () (forall @t41 @t81)) % 64.05/64.92 (define @t83 () (not @t49)) % 64.05/64.92 (define @t84 () (tptp.leq @t2 @t40)) % 64.05/64.92 (define @t85 () (tptp.lt @t2 @t40)) % 64.05/64.92 (define @t86 () (not @t85)) % 64.05/64.92 (define @t87 () (tptp.lt @t40 @t2)) % 64.05/64.92 (define @t88 () (not (tptp.gt @t2 @t40))) % 64.05/64.92 (define @t89 () (tptp.gt @t40 @t2)) % 64.05/64.92 (define @t90 () (tptp.leq @t40 @t2)) % 64.05/64.92 (define @t91 () (not (tptp.geq @t2 @t40))) % 64.05/64.92 (define @t92 () (tptp.geq @t40 @t2)) % 64.05/64.92 (define @t93 () (not @t84)) % 64.05/64.92 (define @t94 () (tptp.cons @t3 @t5)) % 64.05/64.92 (define @t95 () (or @t47 (= @t94 @t2) @t54)) % 64.05/64.92 (define @t96 () (forall @t4 @t95)) % 64.05/64.92 (define @t97 () (= @t2 @t40)) % 64.05/64.92 (define @t98 () (not @t97)) % 64.05/64.92 (define @t99 () (tptp.cons @t40 @t2)) % 64.05/64.92 (define @t100 () (not (tptp.neq @t2 @t40))) % 64.05/64.92 (define @t101 () (tptp.app @t2 @t40)) % 64.05/64.92 (define @t102 () (= @t101 tptp.nil)) % 64.05/64.92 (define @t103 () (not @t102)) % 64.05/64.92 (define @t104 () (= tptp.nil @t40)) % 64.05/64.92 (define @t105 () (tptp.app @t48 @t40)) % 64.05/64.92 (define @t106 () (or @t46 @t62 (= @t105 @t63))) % 64.05/64.92 (define @t107 () (forall @t41 @t106)) % 64.05/64.92 (define @t108 () (tptp.hd @t40)) % 64.05/64.92 (define @t109 () (tptp.strictorderedP @t40)) % 64.05/64.92 (define @t110 () (tptp.strictorderedP @t63)) % 64.05/64.92 (define @t111 () (not @t110)) % 64.05/64.92 (define @t112 () (tptp.totalorderedP @t40)) % 64.05/64.92 (define @t113 () (tptp.totalorderedP @t63)) % 64.05/64.92 (define @t114 () (not @t113)) % 64.05/64.92 (define @t115 () (not (tptp.segmentP @t2 @t40))) % 64.05/64.92 (define @t116 () (not (tptp.rearsegP @t2 @t40))) % 64.05/64.92 (define @t117 () (not (tptp.frontsegP @t2 @t40))) % 64.05/64.92 (define @t118 () (not @t90)) % 64.05/64.92 (define @t119 () (tptp.tl @t40)) % 64.05/64.92 (define @t120 () (tptp.lt @t2 @t108)) % 64.05/64.92 (define @t121 () (tptp.leq @t2 @t108)) % 64.05/64.92 (define @t122 () (@var "W" $$unsorted)) % 64.05/64.92 (define @t123 () (tptp.app @t122 @t2)) % 64.05/64.92 (define @t124 () (not (tptp.ssList @t122))) % 64.05/64.92 (define @t125 () (@list @t2 @t40 @t122)) % 64.05/64.92 (define @t126 () (tptp.app @t2 @t122)) % 64.05/64.92 (define @t127 () (tptp.cons @t40 @t122)) % 64.05/64.92 (define @t128 () (tptp.cons @t122 @t2)) % 64.05/64.92 (define @t129 () (not (tptp.ssItem @t122))) % 64.05/64.92 (define @t130 () (not (tptp.memberP @t2 @t40))) % 64.05/64.92 (define @t131 () (not (= @t101 @t122))) % 64.05/64.92 (define @t132 () (tptp.lt @t2 @t122)) % 64.05/64.92 (define @t133 () (not (tptp.lt @t40 @t122))) % 64.05/64.92 (define @t134 () (tptp.app @t122 @t40)) % 64.05/64.92 (define @t135 () (= @t40 @t122)) % 64.05/64.92 (define @t136 () (= @t2 @t122)) % 64.05/64.92 (define @t137 () (tptp.memberP @t40 @t122)) % 64.05/64.92 (define @t138 () (@var "X" $$unsorted)) % 64.05/64.92 (define @t139 () (not (tptp.ssList @t138))) % 64.05/64.92 (define @t140 () (tptp.cons @t122 @t138)) % 64.05/64.92 (define @t141 () (not (= @t63 @t140))) % 64.05/64.92 (define @t142 () (@list @t2 @t40 @t122 @t138)) % 64.05/64.92 (define @t143 () (not (tptp.frontsegP @t63 @t140))) % 64.05/64.92 (define @t144 () (tptp.app @t2 @t127)) % 64.05/64.92 (define @t145 () (not (tptp.ssItem @t138))) % 64.05/64.92 (define @t146 () (@var "Y" $$unsorted)) % 64.05/64.92 (define @t147 () (not (tptp.ssList @t146))) % 64.05/64.92 (define @t148 () (@list @t2 @t40 @t122 @t138 @t146)) % 64.05/64.92 (define @t149 () (tptp.lt @t40 @t138)) % 64.05/64.92 (define @t150 () (@var "Z" $$unsorted)) % 64.05/64.92 (define @t151 () (not (tptp.ssList @t150))) % 64.05/64.92 (define @t152 () (not (= (tptp.app @t144 (tptp.cons @t138 @t146)) @t150))) % 64.05/64.92 (define @t153 () (@list @t2 @t40 @t122 @t138 @t146 @t150)) % 64.05/64.92 (define @t154 () (tptp.leq @t40 @t138)) % 64.05/64.92 (define @t155 () (tptp.ssList tptp.sk3)) % 64.05/64.92 (define @t156 () (tptp.ssList tptp.sk4)) % 64.05/64.92 (define @t157 () (tptp.segmentP tptp.sk4 tptp.sk3)) % 64.05/64.92 (define @t158 () (@var "A" $$unsorted)) % 64.05/64.92 (define @t159 () (= tptp.nil tptp.sk1)) % 64.05/64.92 (define @t160 () (not @t159)) % 64.05/64.92 (define @t161 () (= tptp.nil tptp.sk2)) % 64.05/64.92 (define @t162 () (not @t161)) % 64.05/64.92 (define @t163 () (or @t162 @t160)) % 64.05/64.92 (define @t164 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 64.05/64.92 (define @t165 () (not @t164)) % 64.05/64.92 (define @t166 () (tptp.neq tptp.sk1 tptp.nil)) % 64.05/64.92 (define @t167 () (not @t166)) % 64.05/64.92 (define @t168 () (or @t167 @t165)) % 64.05/64.92 (define @t169 () (tptp.tl tptp.sk4)) % 64.05/64.92 (define @t170 () (tptp.hd tptp.sk4)) % 64.05/64.92 (define @t171 () (tptp.cons @t170 tptp.nil)) % 64.05/64.92 (define @t172 () (@list @t171)) % 64.05/64.92 (define @t173 () (@list tptp.sk4)) % 64.05/64.92 (define @t174 () (tptp.neq tptp.sk3 tptp.nil)) % 64.05/64.92 (define @t175 () (not @t174)) % 64.05/64.92 (define @t176 () (@list false)) % 64.05/64.92 (define @t177 () (= tptp.nil tptp.sk3)) % 64.05/64.92 (define @t178 () (not @t155)) % 64.05/64.92 (define @t179 () (not @t1)) % 64.05/64.92 (define @t180 () (or @t179 @t178 @t174 @t177)) % 64.05/64.92 (define @t181 () (= tptp.nil tptp.sk4)) % 64.05/64.92 (define @t182 () (not @t181)) % 64.05/64.92 (define @t183 () (tptp.ssItem @t170)) % 64.05/64.92 (define @t184 () (not @t156)) % 64.05/64.92 (define @t185 () (or @t184 @t183 @t181)) % 64.05/64.92 (define @t186 () (@list true false false)) % 64.05/64.92 (define @t187 () (tptp.ssList @t171)) % 64.05/64.92 (define @t188 () (not @t183)) % 64.05/64.92 (define @t189 () (or @t188 @t179 @t187)) % 64.05/64.92 (define @t190 () (@list false false false)) % 64.05/64.92 (define @t191 () (tptp.segmentP @t171 @t171)) % 64.05/64.92 (define @t192 () (not @t187)) % 64.05/64.92 (define @t193 () (or @t192 @t191)) % 64.05/64.92 (define @t194 () (@list false false)) % 64.05/64.92 (define @t195 () (tptp.skaf82 tptp.sk4)) % 64.05/64.92 (define @t196 () (tptp.skaf83 tptp.sk4)) % 64.05/64.92 (define @t197 () (@list @t196 @t195)) % 64.05/64.92 (define @t198 () (tptp.cons @t196 @t195)) % 64.05/64.92 (define @t199 () (tptp.tl @t198)) % 64.05/64.92 (define @t200 () (= @t195 @t199)) % 64.05/64.92 (define @t201 () (tptp.ssList @t195)) % 64.05/64.92 (define @t202 () (not @t201)) % 64.05/64.92 (define @t203 () (tptp.ssItem @t196)) % 64.05/64.92 (define @t204 () (not @t203)) % 64.05/64.92 (define @t205 () (or @t204 @t202 @t200)) % 64.05/64.92 (define @t206 () (= tptp.sk4 @t198)) % 64.05/64.92 (define @t207 () (or @t184 @t206 @t181)) % 64.05/64.92 (define @t208 () (tptp.ssList @t169)) % 64.05/64.92 (define @t209 () (tptp.app tptp.nil @t171)) % 64.05/64.92 (define @t210 () (tptp.segmentP (tptp.app @t209 @t169) @t171)) % 64.05/64.92 (define @t211 () (not @t208)) % 64.05/64.92 (define @t212 () (not @t191)) % 64.05/64.92 (define @t213 () (or @t212 @t211 @t179 @t192 @t192 @t210)) % 64.05/64.92 (define @t214 () (@list false false false false false)) % 64.05/64.92 (define @t215 () (= @t171 @t209)) % 64.05/64.92 (define @t216 () (or @t192 @t215)) % 64.05/64.92 (define @t217 () (tptp.hd @t198)) % 64.05/64.92 (define @t218 () (= @t196 @t217)) % 64.05/64.92 (define @t219 () (or @t204 @t202 @t218)) % 64.05/64.92 (define @t220 () (tptp.cons @t196 tptp.nil)) % 64.05/64.92 (define @t221 () (tptp.app @t220 @t195)) % 64.05/64.92 (define @t222 () (= @t198 @t221)) % 64.05/64.92 (define @t223 () (or @t204 @t202 @t222)) % 64.05/64.92 (define @t224 () (tptp.segmentP tptp.sk4 @t171)) % 64.05/64.92 (define @t225 () (tptp.segmentP @t171 tptp.nil)) % 64.05/64.92 (define @t226 () (or @t192 @t225)) % 64.05/64.92 (define @t227 () (tptp.segmentP @t171 tptp.sk3)) % 64.05/64.92 (define @t228 () (tptp.neq tptp.nil @t171)) % 64.05/64.92 (define @t229 () (or @t192 @t179 @t228 (= @t171 tptp.nil))) % 64.05/64.92 (define @t230 () (forall @t41 (or @t47 @t62 @t80 @t97))) % 64.05/64.92 (define @t231 () (= tptp.nil @t171)) % 64.05/64.92 (define @t232 () (or @t192 @t179 @t228 @t231)) % 64.05/64.92 (define @t233 () (not (= tptp.nil @t220))) % 64.05/64.92 (define @t234 () (or @t233 @t204 @t179)) % 64.05/64.92 (define @t235 () (tptp.neq tptp.sk3 @t171)) % 64.05/64.92 (define @t236 () (tptp.equalelemsP @t171)) % 64.05/64.92 (define @t237 () (or @t188 @t236)) % 64.05/64.92 (define @t238 () (not @t236)) % 64.05/64.92 (define @t239 () (not @t227)) % 64.05/64.92 (define @t240 () (not @t224)) % 64.05/64.92 (define @t241 () (not @t235)) % 64.05/64.92 (define @t242 () (or @t192 @t241 @t240 @t239 @t238)) % 64.05/64.92 (assume @p1 (tptp.equalelemsP tptp.nil)) % 64.05/64.92 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 64.05/64.92 (assume @p3 (tptp.strictorderedP tptp.nil)) % 64.05/64.92 (assume @p4 (tptp.totalorderedP tptp.nil)) % 64.05/64.92 (assume @p5 (tptp.strictorderP tptp.nil)) % 64.05/64.92 (assume @p6 (tptp.totalorderP tptp.nil)) % 64.05/64.92 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 64.05/64.92 (assume @p8 @t1) % 64.05/64.92 (assume @p9 (tptp.ssItem tptp.skac3)) % 64.05/64.92 (assume @p10 (tptp.ssItem tptp.skac2)) % 64.05/64.92 (assume @p11 (not (tptp.singletonP tptp.nil))) % 64.05/64.92 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 64.05/64.92 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 64.05/64.92 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 64.05/64.92 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 64.05/64.92 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 64.05/64.92 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 64.05/64.92 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 64.05/64.92 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 64.05/64.92 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 64.05/64.92 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 64.05/64.92 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 64.05/64.92 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 64.05/64.92 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 64.05/64.92 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 64.05/64.92 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 64.05/64.92 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 64.05/64.92 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 64.05/64.92 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 64.05/64.92 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 64.05/64.92 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 64.05/64.92 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 64.05/64.92 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 64.05/64.92 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 64.05/64.92 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 64.05/64.92 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 64.05/64.92 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 64.05/64.92 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 64.05/64.92 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 64.05/64.92 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 64.05/64.92 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 64.05/64.92 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 64.05/64.92 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 64.05/64.92 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 64.05/64.92 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 64.05/64.92 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 64.05/64.93 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 64.05/64.93 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 64.05/64.93 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 64.05/64.93 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 64.05/64.93 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 64.05/64.93 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 64.05/64.93 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 64.05/64.93 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 64.05/64.93 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 64.05/64.93 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 64.05/64.93 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 64.05/64.93 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 64.05/64.93 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 64.05/64.93 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 64.05/64.93 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 64.05/64.93 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 64.05/64.93 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 64.05/64.93 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 64.05/64.93 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 64.05/64.93 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 64.05/64.93 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 64.05/64.93 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 64.05/64.93 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 64.05/64.93 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 64.05/64.93 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 64.05/64.93 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 64.05/64.93 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 64.05/64.93 (assume @p74 @t53) % 64.05/64.93 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 64.05/64.93 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 64.05/64.93 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 64.05/64.93 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 64.05/64.93 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 64.05/64.93 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 64.05/64.93 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 64.05/64.93 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 64.05/64.93 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 64.05/64.93 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 64.05/64.93 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 64.05/64.93 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 64.05/64.93 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 64.05/64.93 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 64.05/64.93 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 64.05/64.93 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 64.05/64.93 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 64.05/64.93 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 64.05/64.93 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 64.05/64.93 (assume @p94 @t72) % 64.05/64.93 (assume @p95 @t75) % 64.05/64.93 (assume @p96 @t78) % 64.05/64.93 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 64.05/64.93 (assume @p98 @t82) % 64.05/64.93 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 64.05/64.93 (assume @p100 (forall @t41 (or @t46 @t83 @t80 @t79))) % 64.05/64.93 (assume @p101 (forall @t41 (or @t86 @t83 @t46 @t84))) % 64.05/64.93 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 64.05/64.93 (assume @p103 (forall @t41 (or @t88 @t83 @t46 @t87))) % 64.05/64.93 (assume @p104 (forall @t41 (or @t86 @t46 @t83 @t89))) % 64.05/64.93 (assume @p105 (forall @t41 (or @t91 @t83 @t46 @t90))) % 64.05/64.93 (assume @p106 (forall @t41 (or @t93 @t46 @t83 @t92))) % 64.05/64.93 (assume @p107 @t96) % 64.05/64.93 (assume @p108 (forall @t41 (or @t88 (not @t89) @t46 @t83))) % 64.05/64.93 (assume @p109 (forall @t41 (or @t98 @t86 @t83 @t46))) % 64.05/64.93 (assume @p110 (forall @t41 (or @t58 @t47 @t83 (tptp.strictorderedP @t99)))) % 64.05/64.93 (assume @p111 (forall @t41 (or @t58 @t47 @t83 (tptp.totalorderedP @t99)))) % 64.05/64.93 (assume @p112 (forall @t41 (or @t86 (not @t87) @t46 @t83))) % 64.05/64.93 (assume @p113 (forall @t41 (or @t98 @t100 @t62 @t47))) % 64.05/64.93 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 64.05/64.93 (assume @p115 (forall @t41 (or @t98 @t100 @t83 @t46))) % 64.05/64.93 (assume @p116 (forall @t41 (or @t103 @t62 @t47 @t54))) % 64.05/64.93 (assume @p117 (forall @t41 (or @t103 @t62 @t47 @t104))) % 64.05/64.93 (assume @p118 @t107) % 64.05/64.93 (assume @p119 (forall @t41 (or @t93 @t83 @t46 @t85 @t97))) % 64.05/64.93 (assume @p120 (forall @t41 (or @t47 @t62 @t104 (= (tptp.hd @t61) @t108)))) % 64.05/64.93 (assume @p121 (forall @t41 (or @t111 @t62 @t46 @t109 @t104))) % 64.05/64.93 (assume @p122 (forall @t41 (or @t114 @t62 @t46 @t112 @t104))) % 64.05/64.93 (assume @p123 (forall @t41 (or @t91 (not @t92) @t46 @t83 @t79))) % 64.05/64.93 (assume @p124 (forall @t41 (or @t115 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t79))) % 64.05/64.93 (assume @p125 (forall @t41 (or @t116 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t79))) % 64.05/64.93 (assume @p126 (forall @t41 (or @t117 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t79))) % 64.05/64.93 (assume @p127 (forall @t41 (or @t93 @t118 @t46 @t83 @t79))) % 64.05/64.93 (assume @p128 (forall @t41 (or @t116 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 64.05/64.93 (assume @p129 (forall @t41 (or @t117 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 64.05/64.93 (assume @p130 (forall @t41 (or @t47 @t62 @t104 (= (tptp.tl @t61) (tptp.app @t119 @t2))))) % 64.05/64.93 (assume @p131 (forall @t41 (or @t111 @t62 @t46 @t120 @t104))) % 64.05/64.93 (assume @p132 (forall @t41 (or @t114 @t62 @t46 @t121 @t104))) % 64.05/64.93 (assume @p133 (forall @t125 (or @t116 @t124 @t62 @t47 (tptp.rearsegP @t123 @t40)))) % 64.05/64.93 (assume @p134 (forall @t125 (or @t117 @t124 @t62 @t47 (tptp.frontsegP @t126 @t40)))) % 64.05/64.93 (assume @p135 (forall @t125 (or @t98 @t124 @t83 @t46 (tptp.memberP @t127 @t2)))) % 64.05/64.93 (assume @p136 (forall @t125 (or @t130 @t47 @t129 @t83 (tptp.memberP @t128 @t40)))) % 64.05/64.93 (assume @p137 (forall @t125 (or @t130 @t124 @t47 @t83 (tptp.memberP @t126 @t40)))) % 64.05/64.93 (assume @p138 (forall @t125 (or @t130 @t47 @t124 @t83 (tptp.memberP @t123 @t40)))) % 64.05/64.93 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 64.05/64.93 (assume @p140 (forall @t125 (or @t131 @t47 @t62 @t124 (tptp.rearsegP @t122 @t40)))) % 64.05/64.93 (assume @p141 (forall @t125 (or @t131 @t62 @t47 @t124 (tptp.frontsegP @t122 @t2)))) % 64.05/64.93 (assume @p142 (forall @t41 (or @t58 (not @t104) @t62 @t47 @t102))) % 64.05/64.93 (assume @p143 (forall @t125 (or @t88 (not (tptp.gt @t40 @t122)) @t129 @t83 @t46 (tptp.gt @t2 @t122)))) % 64.05/64.93 (assume @p144 (forall @t125 (or @t93 @t133 @t129 @t83 @t46 @t132))) % 64.05/64.93 (assume @p145 (forall @t125 (or @t91 (not (tptp.geq @t40 @t122)) @t129 @t83 @t46 (tptp.geq @t2 @t122)))) % 64.05/64.93 (assume @p146 (forall @t125 (or @t47 @t62 @t124 (= (tptp.app @t134 @t2) (tptp.app @t122 @t61))))) % 64.05/64.93 (assume @p147 (forall @t125 (or (not (= @t101 @t126)) @t62 @t47 @t124 @t135))) % 64.05/64.93 (assume @p148 (forall @t125 (or (not (= @t101 @t134)) @t47 @t62 @t124 @t136))) % 64.05/64.93 (assume @p149 (forall @t125 (or @t115 (not (tptp.segmentP @t40 @t122)) @t124 @t62 @t47 (tptp.segmentP @t2 @t122)))) % 64.05/64.93 (assume @p150 (forall @t125 (or @t116 (not (tptp.rearsegP @t40 @t122)) @t124 @t62 @t47 (tptp.rearsegP @t2 @t122)))) % 64.05/64.93 (assume @p151 (forall @t125 (or @t117 (not (tptp.frontsegP @t40 @t122)) @t124 @t62 @t47 (tptp.frontsegP @t2 @t122)))) % 64.05/64.93 (assume @p152 (forall @t125 (or @t86 @t133 @t129 @t83 @t46 @t132))) % 64.05/64.93 (assume @p153 (forall @t125 (or @t93 (not (tptp.leq @t40 @t122)) @t129 @t83 @t46 (tptp.leq @t2 @t122)))) % 64.05/64.93 (assume @p154 (forall @t125 (or @t46 @t62 @t124 (= (tptp.cons @t2 (tptp.app @t40 @t122)) (tptp.app @t63 @t122))))) % 64.05/64.93 (assume @p155 (forall @t125 (or (not (tptp.memberP @t101 @t122)) @t62 @t47 @t129 @t137 (tptp.memberP @t2 @t122)))) % 64.05/64.93 (assume @p156 (forall @t41 (or (not @t121) (not @t112) @t62 @t46 @t113 @t104))) % 64.05/64.93 (assume @p157 (forall @t41 (or (not @t120) (not @t109) @t62 @t46 @t110 @t104))) % 64.05/64.93 (assume @p158 (forall @t125 (or (not (tptp.memberP @t63 @t122)) @t62 @t46 @t129 @t137 (= @t122 @t2)))) % 64.05/64.93 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 64.05/64.93 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 64.05/64.93 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 64.05/64.93 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 64.05/64.93 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 64.05/64.93 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 64.05/64.93 (assume @p165 (forall @t41 (or @t115 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 64.05/64.93 (assume @p166 (forall @t41 (or @t130 @t83 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 64.05/64.93 (assume @p167 (forall @t142 (or @t141 @t129 @t46 @t139 @t62 @t136))) % 64.05/64.93 (assume @p168 (forall @t142 (or @t141 @t129 @t46 @t139 @t62 (= @t138 @t40)))) % 64.05/64.93 (assume @p169 (forall @t142 (or @t115 @t124 @t139 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t138 @t2) @t122) @t40)))) % 64.05/64.93 (assume @p170 (forall @t142 (or (not (= (tptp.app @t101 @t122) @t138)) @t124 @t47 @t62 @t139 (tptp.segmentP @t138 @t40)))) % 64.05/64.93 (assume @p171 (forall @t142 (or @t143 @t139 @t62 @t129 @t46 (tptp.frontsegP @t40 @t138)))) % 64.05/64.93 (assume @p172 (forall @t142 (or (not (= @t144 @t138)) @t124 @t47 @t83 @t139 (tptp.memberP @t138 @t40)))) % 64.05/64.93 (assume @p173 (forall @t142 (or @t143 @t139 @t62 @t129 @t46 @t136))) % 64.05/64.93 (assume @p174 (forall @t41 (or (not (= @t55 @t119)) (not (= @t56 @t108)) @t47 @t62 @t104 @t97 @t54))) % 64.05/64.93 (assume @p175 (forall @t142 (or @t117 (not (= @t122 @t138)) @t62 @t47 @t145 @t129 (tptp.frontsegP @t128 (tptp.cons @t138 @t40))))) % 64.05/64.93 (assume @p176 (forall @t148 (or (not (= (tptp.app @t144 (tptp.cons @t40 @t138)) @t146)) @t139 @t124 @t47 @t83 (not (tptp.duplicatefreeP @t146)) @t147))) % 64.05/64.93 (assume @p177 (forall @t148 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t140)) @t146)) @t139 @t47 @t129 @t83 (not (tptp.equalelemsP @t146)) @t147 @t135))) % 64.05/64.93 (assume @p178 (forall @t153 (or @t152 @t147 @t124 @t47 @t145 @t83 (not (tptp.strictorderedP @t150)) @t151 @t149))) % 64.05/64.93 (assume @p179 (forall @t153 (or @t152 @t147 @t124 @t47 @t145 @t83 (not (tptp.totalorderedP @t150)) @t151 @t154))) % 64.05/64.93 (assume @p180 (forall @t153 (or @t152 @t147 @t124 @t47 @t145 @t83 (not (tptp.strictorderP @t150)) @t151 @t149 (tptp.lt @t138 @t40)))) % 64.05/64.93 (assume @p181 (forall @t153 (or @t152 @t147 @t124 @t47 @t145 @t83 (not (tptp.totalorderP @t150)) @t151 @t154 (tptp.leq @t138 @t40)))) % 64.05/64.93 (assume @p182 (forall @t153 (or @t93 @t118 (not (= (tptp.app (tptp.app @t122 (tptp.cons @t2 @t138)) (tptp.cons @t40 @t146)) @t150)) @t147 @t139 @t124 @t83 @t46 (not (tptp.cyclefreeP @t150)) @t151))) % 64.05/64.93 (assume @p183 (tptp.ssList tptp.sk1)) % 64.05/64.93 (assume @p184 (tptp.ssList tptp.sk2)) % 64.05/64.93 (assume @p185 @t155) % 64.05/64.93 (assume @p186 @t156) % 64.05/64.93 (assume @p187 (= tptp.sk2 tptp.sk4)) % 64.05/64.93 (assume @p188 (= tptp.sk1 tptp.sk3)) % 64.05/64.93 (assume @p189 @t157) % 64.05/64.93 (assume @p190 (tptp.equalelemsP tptp.sk3)) % 64.05/64.93 (assume @p191 (forall (@list @t158) (or (not (tptp.ssList @t158)) (not (tptp.neq tptp.sk3 @t158)) (not (tptp.segmentP tptp.sk4 @t158)) (not (tptp.segmentP @t158 tptp.sk3)) (not (tptp.equalelemsP @t158))))) % 64.05/64.93 (assume @p192 @t163) % 64.05/64.93 (assume @p193 @t168) % 64.05/64.93 (step @p194 :rule evaluate :args ((= false true))) % 64.05/64.93 (step @p195 :rule instantiate :premises (@p169) :args ((@list @t171 @t171 @t169 tptp.nil))) % 64.05/64.93 (step @p196 :rule instantiate :premises (@p57) :args (@t172)) % 64.05/64.93 (step @p197 :rule instantiate :premises (@p84) :args ((@list @t170 tptp.nil))) % 64.05/64.93 (step @p198 :rule instantiate :premises (@p76) :args (@t173)) % 64.05/64.93 (step @p199 :rule eq-symm :args (@t40 @t2)) % 64.05/64.93 (step @p200 :rule refl :args (@t80)) % 64.05/64.93 (step @p201 :rule refl :args (@t62)) % 64.05/64.93 (step @p202 :rule refl :args (@t47)) % 64.05/64.93 (step @p203 :rule nary_cong :premises (@p202 @p201 @p200 @p199) :args (@t81)) % 64.05/64.93 (step @p204 :rule cong :premises (@p203) :args (@t82)) % 64.05/64.93 (step @p205 :rule eq_resolve :premises (@p98 @p204)) % 64.05/64.93 (step @p206 :rule instantiate :premises (@p205) :args ((@list tptp.nil tptp.sk3))) % 64.05/64.93 (step @p207 :rule cong :premises (@p187 @p188) :args (@t164)) % 64.05/64.93 (step @p208 :rule cong :premises (@p207) :args (@t165)) % 64.05/64.93 (step @p209 :rule refl :args (tptp.nil)) % 64.05/64.93 (step @p210 :rule cong :premises (@p188 @p209) :args (@t166)) % 64.05/64.93 (step @p211 :rule cong :premises (@p210) :args (@t167)) % 64.05/64.93 (step @p212 :rule nary_cong :premises (@p211 @p208) :args (@t168)) % 64.05/64.93 (step @p213 :rule eq_resolve :premises (@p193 @p212)) % 64.05/64.93 (step @p214 :rule reordering :premises (@p213) :args ((or (not @t157) @t175))) % 64.05/64.93 (step @p215 :rule chain_m_resolution :premises (@p214 @p189) :args (@t175 @t176 (@list @t157))) % 64.05/64.93 (step @p216 :rule cnf_or_pos :args (@t180)) % 64.05/64.93 (step @p217 :rule reordering :premises (@p216) :args ((or @t179 @t177 @t174 @t178 (not @t180)))) % 64.05/64.93 (step @p218 :rule chain_m_resolution :premises (@p217 @p8 @p215 @p185 @p206) :args (@t177 (@list false true false false) (@list @t1 @t174 @t155 @t180))) % 64.05/64.93 (step @p219 :rule cong :premises (@p209 @p188) :args (@t159)) % 64.05/64.93 (step @p220 :rule cong :premises (@p219) :args (@t160)) % 64.05/64.93 (step @p221 :rule cong :premises (@p209 @p187) :args (@t161)) % 64.05/64.93 (step @p222 :rule cong :premises (@p221) :args (@t162)) % 64.05/64.93 (step @p223 :rule nary_cong :premises (@p222 @p220) :args (@t163)) % 64.05/64.93 (step @p224 :rule eq_resolve :premises (@p192 @p223)) % 64.05/64.93 (step @p225 :rule reordering :premises (@p224) :args ((or (not @t177) @t182))) % 64.05/64.93 (step @p226 :rule chain_m_resolution :premises (@p225 @p218) :args (@t182 @t176 (@list @t177))) % 64.05/64.93 (step @p227 :rule cnf_or_pos :args (@t185)) % 64.05/64.93 (step @p228 :rule reordering :premises (@p227) :args ((or @t181 @t184 @t183 (not @t185)))) % 64.05/64.93 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p186 @p198) :args (@t183 @t186 (@list @t181 @t156 @t185))) % 64.05/64.93 (step @p230 :rule cnf_or_pos :args (@t189)) % 64.05/64.93 (step @p231 :rule reordering :premises (@p230) :args ((or @t179 @t188 @t187 (not @t189)))) % 64.05/64.93 (step @p232 :rule chain_m_resolution :premises (@p231 @p8 @p229 @p197) :args (@t187 @t190 (@list @t1 @t183 @t189))) % 64.05/64.93 (step @p233 :rule cnf_or_pos :args (@t193)) % 64.05/64.93 (step @p234 :rule reordering :premises (@p233) :args ((or @t192 @t191 (not @t193)))) % 64.05/64.93 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p196) :args (@t191 @t194 (@list @t187 @t193))) % 64.05/64.93 (step @p236 :rule instantiate :premises (@p13) :args (@t173)) % 64.05/64.93 (step @p237 :rule true_intro :premises (@p236)) % 64.05/64.93 (step @p238 :rule eq-symm :args (@t70 @t40)) % 64.05/64.93 (step @p239 :rule refl :args (@t46)) % 64.05/64.93 (step @p240 :rule nary_cong :premises (@p239 @p201 @p238) :args (@t71)) % 64.05/64.93 (step @p241 :rule cong :premises (@p240) :args (@t72)) % 64.05/64.93 (step @p242 :rule eq_resolve :premises (@p94 @p241)) % 64.05/64.93 (step @p243 :rule instantiate :premises (@p242) :args (@t197)) % 64.05/64.93 (step @p244 :rule instantiate :premises (@p12) :args (@t173)) % 64.05/64.93 (step @p245 :rule cnf_or_pos :args (@t205)) % 64.05/64.93 (step @p246 :rule reordering :premises (@p245) :args ((or @t204 @t202 @t200 (not @t205)))) % 64.05/64.93 (step @p247 :rule chain_m_resolution :premises (@p246 @p244 @p236 @p243) :args (@t200 @t190 (@list @t203 @t201 @t205))) % 64.05/64.93 (step @p248 :rule symm :premises (@p247)) % 64.05/64.93 (step @p249 :rule refl :args (@t54)) % 64.05/64.93 (step @p250 :rule eq-symm :args (@t94 @t2)) % 64.05/64.93 (step @p251 :rule nary_cong :premises (@p202 @p250 @p249) :args (@t95)) % 64.05/64.93 (step @p252 :rule cong :premises (@p251) :args (@t96)) % 64.05/64.93 (step @p253 :rule eq_resolve :premises (@p107 @p252)) % 64.05/64.93 (step @p254 :rule instantiate :premises (@p253) :args (@t173)) % 64.05/64.93 (step @p255 :rule cnf_or_pos :args (@t207)) % 64.05/64.93 (step @p256 :rule reordering :premises (@p255) :args ((or @t181 @t184 @t206 (not @t207)))) % 64.05/64.93 (step @p257 :rule chain_m_resolution :premises (@p256 @p226 @p186 @p254) :args (@t206 @t186 (@list @t181 @t156 @t207))) % 64.05/64.93 (step @p258 :rule cong :premises (@p257) :args (@t169)) % 64.05/64.93 (step @p259 :rule trans :premises (@p258 @p248)) % 64.05/64.93 (step @p260 :rule cong :premises (@p259) :args (@t208)) % 64.05/64.93 (step @p261 :rule trans :premises (@p260 @p237)) % 64.05/64.93 (step @p262 :rule true_elim :premises (@p261)) % 64.05/64.93 (step @p263 :rule cnf_or_pos :args (@t213)) % 64.05/64.93 (step @p264 :rule factoring :premises (@p263)) % 64.05/64.93 (step @p265 :rule reordering :premises (@p264) :args ((or @t179 @t211 @t192 @t212 @t210 (not @t213)))) % 64.05/64.93 (step @p266 :rule chain_m_resolution :premises (@p265 @p8 @p262 @p232 @p235 @p195) :args (@t210 @t214 (@list @t1 @t208 @t187 @t191 @t213))) % 64.05/64.93 (step @p267 :rule true_intro :premises (@p266)) % 64.05/64.93 (step @p268 :rule refl :args (@t171)) % 64.05/64.93 (step @p269 :rule symm :premises (@p257)) % 64.05/64.93 (step @p270 :rule cong :premises (@p269) :args (@t199)) % 64.05/64.93 (step @p271 :rule trans :premises (@p247 @p270)) % 64.05/64.93 (step @p272 :rule eq-symm :args (@t51 @t2)) % 64.05/64.93 (step @p273 :rule nary_cong :premises (@p202 @p272) :args (@t52)) % 64.05/64.93 (step @p274 :rule cong :premises (@p273) :args (@t53)) % 64.05/64.93 (step @p275 :rule eq_resolve :premises (@p74 @p274)) % 64.05/64.93 (step @p276 :rule instantiate :premises (@p275) :args (@t172)) % 64.05/64.93 (step @p277 :rule cnf_or_pos :args (@t216)) % 64.05/64.93 (step @p278 :rule reordering :premises (@p277) :args ((or @t192 @t215 (not @t216)))) % 64.05/64.93 (step @p279 :rule chain_m_resolution :premises (@p278 @p232 @p276) :args (@t215 @t194 (@list @t187 @t216))) % 64.05/64.93 (step @p280 :rule cong :premises (@p269) :args (@t217)) % 64.05/64.93 (step @p281 :rule eq-symm :args (@t73 @t2)) % 64.05/64.93 (step @p282 :rule nary_cong :premises (@p239 @p201 @p281) :args (@t74)) % 64.05/64.93 (step @p283 :rule cong :premises (@p282) :args (@t75)) % 64.05/64.93 (step @p284 :rule eq_resolve :premises (@p95 @p283)) % 64.05/64.93 (step @p285 :rule instantiate :premises (@p284) :args (@t197)) % 64.05/64.93 (step @p286 :rule cnf_or_pos :args (@t219)) % 64.05/64.93 (step @p287 :rule reordering :premises (@p286) :args ((or @t204 @t202 @t218 (not @t219)))) % 64.05/64.93 (step @p288 :rule chain_m_resolution :premises (@p287 @p244 @p236 @p285) :args (@t218 @t190 (@list @t203 @t201 @t219))) % 64.05/64.93 (step @p289 :rule trans :premises (@p288 @p280)) % 64.05/64.93 (step @p290 :rule cong :premises (@p289 @p209) :args (@t220)) % 64.05/64.93 (step @p291 :rule trans :premises (@p290 @p279)) % 64.05/64.93 (step @p292 :rule cong :premises (@p291 @p271) :args (@t221)) % 64.05/64.93 (step @p293 :rule eq-symm :args (@t105 @t63)) % 64.05/64.93 (step @p294 :rule nary_cong :premises (@p239 @p201 @p293) :args (@t106)) % 64.05/64.93 (step @p295 :rule cong :premises (@p294) :args (@t107)) % 64.05/64.93 (step @p296 :rule eq_resolve :premises (@p118 @p295)) % 64.05/64.93 (step @p297 :rule instantiate :premises (@p296) :args (@t197)) % 64.05/64.93 (step @p298 :rule cnf_or_pos :args (@t223)) % 64.05/64.93 (step @p299 :rule reordering :premises (@p298) :args ((or @t204 @t202 @t222 (not @t223)))) % 64.05/64.93 (step @p300 :rule chain_m_resolution :premises (@p299 @p244 @p236 @p297) :args (@t222 @t190 (@list @t203 @t201 @t223))) % 64.05/64.93 (step @p301 :rule trans :premises (@p257 @p300 @p292)) % 64.05/64.93 (step @p302 :rule cong :premises (@p301 @p268) :args (@t224)) % 64.05/64.93 (step @p303 :rule instantiate :premises (@p191) :args (@t172)) % 64.05/64.93 (step @p304 :rule instantiate :premises (@p56) :args (@t172)) % 64.05/64.93 (step @p305 :rule cnf_or_pos :args (@t226)) % 64.05/64.93 (step @p306 :rule reordering :premises (@p305) :args ((or @t192 @t225 (not @t226)))) % 64.05/64.93 (step @p307 :rule chain_m_resolution :premises (@p306 @p232 @p304) :args (@t225 @t194 (@list @t187 @t226))) % 64.05/64.93 (step @p308 :rule true_intro :premises (@p307)) % 64.05/64.93 (step @p309 :rule symm :premises (@p218)) % 64.05/64.93 (step @p310 :rule cong :premises (@p268 @p309) :args (@t227)) % 64.05/64.93 (step @p311 :rule trans :premises (@p310 @p308)) % 64.05/64.93 (step @p312 :rule true_elim :premises (@p311)) % 64.05/64.93 (step @p313 :rule eq-symm :args (@t171 tptp.nil)) % 64.05/64.93 (step @p314 :rule refl :args (@t228)) % 64.05/64.93 (step @p315 :rule refl :args (@t179)) % 64.05/64.93 (step @p316 :rule refl :args (@t192)) % 64.05/64.93 (step @p317 :rule nary_cong :premises (@p316 @p315 @p314 @p313) :args (@t229)) % 64.05/64.93 (step @p318 :rule refl :args (@t230)) % 64.05/64.93 (step @p319 :rule cong :premises (@p318 @p317) :args ((=> @t230 @t229))) % 64.05/64.93 (assume-push @p362 @t230) % 64.05/64.93 (step @p321 :rule instantiate :premises (@p205) :args ((@list @t171 tptp.nil))) % 64.05/64.93 (step-pop @p363 :rule scope :premises (@p321)) % 64.05/64.93 (step @p322 :rule process_scope :premises (@p363) :args (@t229)) % 64.05/64.93 (step @p324 :rule eq_resolve :premises (@p322 @p319)) % 64.05/64.93 (step @p325 :rule implies_elim :premises (@p324)) % 64.05/64.93 (step @p326 :rule chain_m_resolution :premises (@p325 @p205) :args (@t232 @t176 (@list @t230))) % 64.05/64.93 (step @p327 :rule eq-symm :args (@t63 tptp.nil)) % 64.05/64.93 (step @p328 :rule cong :premises (@p327) :args (@t76)) % 64.05/64.93 (step @p329 :rule nary_cong :premises (@p328 @p239 @p201) :args (@t77)) % 64.05/64.93 (step @p330 :rule cong :premises (@p329) :args (@t78)) % 64.05/64.93 (step @p331 :rule eq_resolve :premises (@p96 @p330)) % 64.05/64.93 (step @p332 :rule instantiate :premises (@p331) :args ((@list @t196 tptp.nil))) % 64.05/64.93 (step @p333 :rule cnf_or_pos :args (@t234)) % 64.05/64.93 (step @p334 :rule reordering :premises (@p333) :args ((or @t179 @t204 @t233 (not @t234)))) % 64.05/64.93 (step @p335 :rule chain_m_resolution :premises (@p334 @p8 @p244 @p332) :args (@t233 @t190 (@list @t1 @t203 @t234))) % 64.05/64.93 (step @p336 :rule false_intro :premises (@p335)) % 64.05/64.93 (step @p337 :rule symm :premises (@p288)) % 64.05/64.93 (step @p338 :rule cong :premises (@p257) :args (@t170)) % 64.05/64.93 (step @p339 :rule trans :premises (@p338 @p337)) % 64.05/64.93 (step @p340 :rule cong :premises (@p339 @p209) :args (@t171)) % 64.05/64.93 (step @p341 :rule cong :premises (@p209 @p340) :args (@t231)) % 64.05/64.93 (step @p342 :rule trans :premises (@p341 @p336)) % 64.05/64.93 (step @p343 :rule false_elim :premises (@p342)) % 64.05/64.93 (step @p344 :rule cnf_or_pos :args (@t232)) % 64.05/64.93 (step @p345 :rule reordering :premises (@p344) :args ((or @t179 @t192 @t231 @t228 (not @t232)))) % 64.05/64.93 (step @p346 :rule chain_m_resolution :premises (@p345 @p8 @p232 @p343 @p326) :args (@t228 (@list false false true false) (@list @t1 @t187 @t231 @t232))) % 64.05/64.93 (step @p347 :rule true_intro :premises (@p346)) % 64.05/64.93 (step @p348 :rule cong :premises (@p309 @p268) :args (@t235)) % 64.05/64.93 (step @p349 :rule trans :premises (@p348 @p347)) % 64.05/64.93 (step @p350 :rule true_elim :premises (@p349)) % 64.05/64.93 (step @p351 :rule instantiate :premises (@p64) :args ((@list @t170))) % 64.05/64.93 (step @p352 :rule cnf_or_pos :args (@t237)) % 64.05/64.93 (step @p353 :rule reordering :premises (@p352) :args ((or @t188 @t236 (not @t237)))) % 64.05/64.93 (step @p354 :rule chain_m_resolution :premises (@p353 @p229 @p351) :args (@t236 @t194 (@list @t183 @t237))) % 64.05/64.93 (step @p355 :rule cnf_or_pos :args (@t242)) % 64.05/64.93 (step @p356 :rule reordering :premises (@p355) :args ((or @t192 @t238 @t241 @t240 @t239 (not @t242)))) % 64.05/64.93 (step @p357 :rule chain_m_resolution :premises (@p356 @p232 @p354 @p350 @p312 @p303) :args (@t240 @t214 (@list @t187 @t236 @t235 @t227 @t242))) % 64.05/64.93 (step @p358 :rule false_intro :premises (@p357)) % 64.05/64.93 (step @p359 :rule symm :premises (@p358)) % 64.05/64.93 (step @p360 :rule trans :premises (@p359 @p302 @p267)) % 64.05/64.93 (step @p361 false :rule eq_resolve :premises (@p360 @p194)) % 64.05/64.93 ) % 64.05/64.93 % SZS output end Proof % 64.05/64.93 % cvc5 exiting %------------------------------------------------------------------------------