%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC230-1 : 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 : n015.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 08:58:32 AM UTC 2026 % Result : Unsatisfiable 68.72s 68.91s % Output : Proof 68.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC230-1 : 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 : n015.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 19:28:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.53/15.76 --- 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... % 33.74/33.90 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.82/64.05 --- Run --trigger-sel=max --full-saturate-quant at 15... % 68.72/68.91 % SZS status Unsatisfiable % 68.72/68.91 % SZS output start Proof % 68.72/68.92 ( % 68.72/68.92 (declare-sort $$unsorted 0) % 68.72/68.92 (declare-const tptp.sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.sk4 $$unsorted) % 68.72/68.92 (declare-const tptp.sk2 $$unsorted) % 68.72/68.92 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.nil $$unsorted) % 68.72/68.92 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.sk1 $$unsorted) % 68.72/68.92 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.skac2 $$unsorted) % 68.72/68.92 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.sk3 $$unsorted) % 68.72/68.92 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.ssList (-> $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skac3 $$unsorted) % 68.72/68.92 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 68.72/68.92 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 68.72/68.92 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 68.72/68.92 (define @t1 () (tptp.ssList tptp.nil)) % 68.72/68.92 (define @t2 () (@var "U" $$unsorted)) % 68.72/68.92 (define @t3 () (tptp.skaf83 @t2)) % 68.72/68.92 (define @t4 () (@list @t2)) % 68.72/68.92 (define @t5 () (tptp.skaf82 @t2)) % 68.72/68.92 (define @t6 () (tptp.skaf81 @t2)) % 68.72/68.92 (define @t7 () (tptp.skaf80 @t2)) % 68.72/68.92 (define @t8 () (tptp.skaf79 @t2)) % 68.72/68.92 (define @t9 () (tptp.skaf78 @t2)) % 68.72/68.92 (define @t10 () (tptp.skaf77 @t2)) % 68.72/68.92 (define @t11 () (tptp.skaf76 @t2)) % 68.72/68.92 (define @t12 () (tptp.skaf75 @t2)) % 68.72/68.92 (define @t13 () (tptp.skaf74 @t2)) % 68.72/68.92 (define @t14 () (tptp.skaf73 @t2)) % 68.72/68.92 (define @t15 () (tptp.skaf72 @t2)) % 68.72/68.92 (define @t16 () (tptp.skaf71 @t2)) % 68.72/68.92 (define @t17 () (tptp.skaf70 @t2)) % 68.72/68.92 (define @t18 () (tptp.skaf69 @t2)) % 68.72/68.92 (define @t19 () (tptp.skaf68 @t2)) % 68.72/68.92 (define @t20 () (tptp.skaf67 @t2)) % 68.72/68.92 (define @t21 () (tptp.skaf66 @t2)) % 68.72/68.92 (define @t22 () (tptp.skaf65 @t2)) % 68.72/68.92 (define @t23 () (tptp.skaf64 @t2)) % 68.72/68.92 (define @t24 () (tptp.skaf63 @t2)) % 68.72/68.92 (define @t25 () (tptp.skaf62 @t2)) % 68.72/68.92 (define @t26 () (tptp.skaf61 @t2)) % 68.72/68.92 (define @t27 () (tptp.skaf60 @t2)) % 68.72/68.92 (define @t28 () (tptp.skaf59 @t2)) % 68.72/68.92 (define @t29 () (tptp.skaf58 @t2)) % 68.72/68.92 (define @t30 () (tptp.skaf57 @t2)) % 68.72/68.92 (define @t31 () (tptp.skaf56 @t2)) % 68.72/68.92 (define @t32 () (tptp.skaf55 @t2)) % 68.72/68.92 (define @t33 () (tptp.skaf54 @t2)) % 68.72/68.92 (define @t34 () (tptp.skaf53 @t2)) % 68.72/68.92 (define @t35 () (tptp.skaf52 @t2)) % 68.72/68.92 (define @t36 () (tptp.skaf51 @t2)) % 68.72/68.92 (define @t37 () (tptp.skaf50 @t2)) % 68.72/68.92 (define @t38 () (tptp.skaf49 @t2)) % 68.72/68.92 (define @t39 () (tptp.skaf44 @t2)) % 68.72/68.92 (define @t40 () (@var "V" $$unsorted)) % 68.72/68.92 (define @t41 () (@list @t2 @t40)) % 68.72/68.92 (define @t42 () (tptp.skaf47 @t2 @t40)) % 68.72/68.92 (define @t43 () (tptp.skaf46 @t2 @t40)) % 68.72/68.92 (define @t44 () (tptp.skaf45 @t2 @t40)) % 68.72/68.92 (define @t45 () (tptp.skaf42 @t2 @t40)) % 68.72/68.92 (define @t46 () (not (tptp.ssItem @t2))) % 68.72/68.92 (define @t47 () (not (tptp.ssList @t2))) % 68.72/68.92 (define @t48 () (tptp.cons @t2 tptp.nil)) % 68.72/68.92 (define @t49 () (tptp.ssItem @t40)) % 68.72/68.92 (define @t50 () (tptp.duplicatefreeP @t2)) % 68.72/68.92 (define @t51 () (tptp.app tptp.nil @t2)) % 68.72/68.92 (define @t52 () (or @t47 (= @t51 @t2))) % 68.72/68.92 (define @t53 () (forall @t4 @t52)) % 68.72/68.92 (define @t54 () (= tptp.nil @t2)) % 68.72/68.92 (define @t55 () (tptp.tl @t2)) % 68.72/68.92 (define @t56 () (tptp.hd @t2)) % 68.72/68.92 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 68.72/68.92 (define @t58 () (not @t54)) % 68.72/68.92 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 68.72/68.92 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 68.72/68.92 (define @t61 () (tptp.app @t40 @t2)) % 68.72/68.92 (define @t62 () (not (tptp.ssList @t40))) % 68.72/68.92 (define @t63 () (tptp.cons @t2 @t40)) % 68.72/68.92 (define @t64 () (tptp.cyclefreeP @t2)) % 68.72/68.92 (define @t65 () (tptp.equalelemsP @t2)) % 68.72/68.92 (define @t66 () (tptp.strictorderedP @t2)) % 68.72/68.92 (define @t67 () (tptp.totalorderedP @t2)) % 68.72/68.92 (define @t68 () (tptp.strictorderP @t2)) % 68.72/68.92 (define @t69 () (tptp.totalorderP @t2)) % 68.72/68.92 (define @t70 () (tptp.hd @t63)) % 68.72/68.92 (define @t71 () (or @t46 @t62 (= @t70 @t2))) % 68.72/68.92 (define @t72 () (forall @t41 @t71)) % 68.72/68.92 (define @t73 () (= @t40 @t2)) % 68.72/68.92 (define @t74 () (tptp.neq @t40 @t2)) % 68.72/68.92 (define @t75 () (tptp.cons @t39 tptp.nil)) % 68.72/68.92 (define @t76 () (not (tptp.singletonP @t2))) % 68.72/68.92 (define @t77 () (or @t76 @t47 (= @t75 @t2))) % 68.72/68.92 (define @t78 () (forall @t4 @t77)) % 68.72/68.92 (define @t79 () (not @t49)) % 68.72/68.92 (define @t80 () (tptp.leq @t2 @t40)) % 68.72/68.92 (define @t81 () (tptp.lt @t2 @t40)) % 68.72/68.92 (define @t82 () (not @t81)) % 68.72/68.92 (define @t83 () (tptp.lt @t40 @t2)) % 68.72/68.92 (define @t84 () (not (tptp.gt @t2 @t40))) % 68.72/68.92 (define @t85 () (tptp.gt @t40 @t2)) % 68.72/68.92 (define @t86 () (tptp.leq @t40 @t2)) % 68.72/68.92 (define @t87 () (not (tptp.geq @t2 @t40))) % 68.72/68.92 (define @t88 () (tptp.geq @t40 @t2)) % 68.72/68.92 (define @t89 () (not @t80)) % 68.72/68.92 (define @t90 () (tptp.cons @t3 @t5)) % 68.72/68.92 (define @t91 () (or @t47 (= @t90 @t2) @t54)) % 68.72/68.92 (define @t92 () (forall @t4 @t91)) % 68.72/68.92 (define @t93 () (= @t2 @t40)) % 68.72/68.92 (define @t94 () (not @t93)) % 68.72/68.92 (define @t95 () (tptp.cons @t40 @t2)) % 68.72/68.92 (define @t96 () (not (tptp.neq @t2 @t40))) % 68.72/68.92 (define @t97 () (tptp.singletonP @t40)) % 68.72/68.92 (define @t98 () (not (= @t48 @t40))) % 68.72/68.92 (define @t99 () (or @t98 @t46 @t62 @t97)) % 68.72/68.92 (define @t100 () (forall @t41 @t99)) % 68.72/68.92 (define @t101 () (tptp.app @t2 @t40)) % 68.72/68.92 (define @t102 () (= @t101 tptp.nil)) % 68.72/68.92 (define @t103 () (not @t102)) % 68.72/68.92 (define @t104 () (= tptp.nil @t40)) % 68.72/68.92 (define @t105 () (tptp.app @t48 @t40)) % 68.72/68.92 (define @t106 () (or @t46 @t62 (= @t105 @t63))) % 68.72/68.92 (define @t107 () (forall @t41 @t106)) % 68.72/68.92 (define @t108 () (tptp.hd @t40)) % 68.72/68.92 (define @t109 () (tptp.strictorderedP @t40)) % 68.72/68.92 (define @t110 () (tptp.strictorderedP @t63)) % 68.72/68.92 (define @t111 () (not @t110)) % 68.72/68.92 (define @t112 () (tptp.totalorderedP @t40)) % 68.72/68.92 (define @t113 () (tptp.totalorderedP @t63)) % 68.72/68.92 (define @t114 () (not @t113)) % 68.72/68.92 (define @t115 () (not (tptp.segmentP @t2 @t40))) % 68.72/68.92 (define @t116 () (not (tptp.rearsegP @t2 @t40))) % 68.72/68.92 (define @t117 () (not (tptp.frontsegP @t2 @t40))) % 68.72/68.92 (define @t118 () (not @t86)) % 68.72/68.92 (define @t119 () (tptp.app @t43 @t40)) % 68.72/68.92 (define @t120 () (or @t116 @t62 @t47 (= @t119 @t2))) % 68.72/68.92 (define @t121 () (forall @t41 @t120)) % 68.72/68.92 (define @t122 () (tptp.tl @t40)) % 68.72/68.92 (define @t123 () (tptp.lt @t2 @t108)) % 68.72/68.92 (define @t124 () (tptp.leq @t2 @t108)) % 68.72/68.92 (define @t125 () (@var "W" $$unsorted)) % 68.72/68.92 (define @t126 () (tptp.app @t125 @t2)) % 68.72/68.92 (define @t127 () (not (tptp.ssList @t125))) % 68.72/68.92 (define @t128 () (@list @t2 @t40 @t125)) % 68.72/68.92 (define @t129 () (tptp.app @t2 @t125)) % 68.72/68.92 (define @t130 () (tptp.cons @t40 @t125)) % 68.72/68.92 (define @t131 () (tptp.cons @t125 @t2)) % 68.72/68.92 (define @t132 () (not (tptp.ssItem @t125))) % 68.72/68.92 (define @t133 () (not (tptp.memberP @t2 @t40))) % 68.72/68.92 (define @t134 () (not (= @t101 @t125))) % 68.72/68.92 (define @t135 () (tptp.lt @t2 @t125)) % 68.72/68.92 (define @t136 () (not (tptp.lt @t40 @t125))) % 68.72/68.92 (define @t137 () (tptp.app @t125 @t40)) % 68.72/68.92 (define @t138 () (= @t40 @t125)) % 68.72/68.92 (define @t139 () (= @t2 @t125)) % 68.72/68.92 (define @t140 () (tptp.memberP @t40 @t125)) % 68.72/68.92 (define @t141 () (@var "X" $$unsorted)) % 68.72/68.92 (define @t142 () (not (tptp.ssList @t141))) % 68.72/68.92 (define @t143 () (tptp.cons @t125 @t141)) % 68.72/68.92 (define @t144 () (not (= @t63 @t143))) % 68.72/68.92 (define @t145 () (@list @t2 @t40 @t125 @t141)) % 68.72/68.92 (define @t146 () (not (tptp.frontsegP @t63 @t143))) % 68.72/68.92 (define @t147 () (tptp.app @t2 @t130)) % 68.72/68.92 (define @t148 () (not (tptp.ssItem @t141))) % 68.72/68.92 (define @t149 () (@var "Y" $$unsorted)) % 68.72/68.92 (define @t150 () (not (tptp.ssList @t149))) % 68.72/68.92 (define @t151 () (@list @t2 @t40 @t125 @t141 @t149)) % 68.72/68.92 (define @t152 () (tptp.lt @t40 @t141)) % 68.72/68.92 (define @t153 () (@var "Z" $$unsorted)) % 68.72/68.92 (define @t154 () (not (tptp.ssList @t153))) % 68.72/68.92 (define @t155 () (not (= (tptp.app @t147 (tptp.cons @t141 @t149)) @t153))) % 68.72/68.92 (define @t156 () (@list @t2 @t40 @t125 @t141 @t149 @t153)) % 68.72/68.92 (define @t157 () (tptp.leq @t40 @t141)) % 68.72/68.92 (define @t158 () (tptp.ssList tptp.sk3)) % 68.72/68.92 (define @t159 () (= tptp.nil tptp.sk1)) % 68.72/68.92 (define @t160 () (not @t159)) % 68.72/68.92 (define @t161 () (@var "A" $$unsorted)) % 68.72/68.92 (define @t162 () (@var "B" $$unsorted)) % 68.72/68.92 (define @t163 () (@var "C" $$unsorted)) % 68.72/68.92 (define @t164 () (tptp.sk5 @t163 @t162 @t161)) % 68.72/68.92 (define @t165 () (tptp.ssItem @t164)) % 68.72/68.92 (define @t166 () (tptp.cons @t161 tptp.nil)) % 68.72/68.92 (define @t167 () (tptp.app (tptp.app @t162 @t166) @t163)) % 68.72/68.92 (define @t168 () (not (= @t167 tptp.sk1))) % 68.72/68.92 (define @t169 () (not (tptp.ssList @t163))) % 68.72/68.92 (define @t170 () (not (tptp.ssList @t162))) % 68.72/68.92 (define @t171 () (not (tptp.ssItem @t161))) % 68.72/68.92 (define @t172 () (or @t171 @t170 @t169 @t168 @t165)) % 68.72/68.92 (define @t173 () (@list @t161 @t162 @t163)) % 68.72/68.92 (define @t174 () (forall @t173 @t172)) % 68.72/68.92 (define @t175 () (tptp.memberP @t162 @t164)) % 68.72/68.92 (define @t176 () (or @t171 @t170 @t169 @t168 @t175)) % 68.72/68.92 (define @t177 () (forall @t173 @t176)) % 68.72/68.92 (define @t178 () (@var "D" $$unsorted)) % 68.72/68.92 (define @t179 () (tptp.hd tptp.sk3)) % 68.72/68.92 (define @t180 () (tptp.cons @t179 tptp.nil)) % 68.72/68.92 (define @t181 () (tptp.skaf44 @t180)) % 68.72/68.92 (define @t182 () (tptp.skaf46 tptp.sk3 tptp.sk3)) % 68.72/68.92 (define @t183 () (tptp.skaf82 tptp.sk3)) % 68.72/68.92 (define @t184 () (tptp.sk5 @t183 @t182 @t181)) % 68.72/68.92 (define @t185 () (= tptp.sk1 @t167)) % 68.72/68.92 (define @t186 () (not @t185)) % 68.72/68.92 (define @t187 () (or @t171 @t170 @t169 @t186 @t165)) % 68.72/68.92 (define @t188 () (@list @t181 @t182 @t183)) % 68.72/68.92 (define @t189 () (@list @t180)) % 68.72/68.92 (define @t190 () (tptp.singletonP @t48)) % 68.72/68.92 (define @t191 () (not (tptp.ssList @t48))) % 68.72/68.92 (define @t192 () (not (= @t48 @t48))) % 68.72/68.92 (define @t193 () (or @t192 @t46 @t191 @t190)) % 68.72/68.92 (define @t194 () (not (= @t40 @t48))) % 68.72/68.92 (define @t195 () (or @t194 @t194 @t46 @t62 @t97)) % 68.72/68.92 (define @t196 () (@list @t40)) % 68.72/68.92 (define @t197 () (or @t194 @t46 @t62 @t97)) % 68.72/68.92 (define @t198 () (forall @t196 @t197)) % 68.72/68.92 (define @t199 () (forall @t4 @t198)) % 68.72/68.92 (define @t200 () (@list tptp.sk3)) % 68.72/68.92 (define @t201 () (= tptp.nil tptp.sk3)) % 68.72/68.92 (define @t202 () (tptp.ssItem @t179)) % 68.72/68.92 (define @t203 () (not @t158)) % 68.72/68.92 (define @t204 () (or @t203 @t202 @t201)) % 68.72/68.92 (define @t205 () (@list true false false)) % 68.72/68.92 (define @t206 () (tptp.ssList @t180)) % 68.72/68.92 (define @t207 () (not @t1)) % 68.72/68.92 (define @t208 () (not @t202)) % 68.72/68.92 (define @t209 () (or @t208 @t207 @t206)) % 68.72/68.92 (define @t210 () (@list false false false)) % 68.72/68.92 (define @t211 () (tptp.singletonP @t180)) % 68.72/68.92 (define @t212 () (not @t206)) % 68.72/68.92 (define @t213 () (or @t208 @t212 @t211)) % 68.72/68.92 (define @t214 () (tptp.cons @t181 tptp.nil)) % 68.72/68.92 (define @t215 () (= @t180 @t214)) % 68.72/68.92 (define @t216 () (not @t211)) % 68.72/68.92 (define @t217 () (or @t216 @t212 @t215)) % 68.72/68.92 (define @t218 () (tptp.skaf83 tptp.sk3)) % 68.72/68.92 (define @t219 () (tptp.cons @t218 @t183)) % 68.72/68.92 (define @t220 () (= tptp.sk3 @t219)) % 68.72/68.92 (define @t221 () (or @t203 @t220 @t201)) % 68.72/68.92 (define @t222 () (tptp.hd @t219)) % 68.72/68.92 (define @t223 () (@list @t218 @t183)) % 68.72/68.92 (define @t224 () (= @t218 @t222)) % 68.72/68.92 (define @t225 () (tptp.ssList @t183)) % 68.72/68.92 (define @t226 () (not @t225)) % 68.72/68.92 (define @t227 () (tptp.ssItem @t218)) % 68.72/68.92 (define @t228 () (not @t227)) % 68.72/68.92 (define @t229 () (or @t228 @t226 @t224)) % 68.72/68.92 (define @t230 () (tptp.cons @t218 tptp.nil)) % 68.72/68.92 (define @t231 () (@list tptp.sk3 tptp.sk3)) % 68.72/68.92 (define @t232 () (tptp.rearsegP tptp.sk3 tptp.sk3)) % 68.72/68.92 (define @t233 () (or @t203 @t232)) % 68.72/68.92 (define @t234 () (@list false false)) % 68.72/68.92 (define @t235 () (tptp.app @t182 tptp.sk3)) % 68.72/68.92 (define @t236 () (= tptp.sk3 @t235)) % 68.72/68.92 (define @t237 () (not @t232)) % 68.72/68.92 (define @t238 () (or @t237 @t203 @t203 @t236)) % 68.72/68.92 (define @t239 () (tptp.app tptp.nil tptp.sk3)) % 68.72/68.92 (define @t240 () (= tptp.sk3 @t239)) % 68.72/68.92 (define @t241 () (or @t203 @t240)) % 68.72/68.92 (define @t242 () (= tptp.nil @t182)) % 68.72/68.92 (define @t243 () (tptp.ssList @t182)) % 68.72/68.92 (define @t244 () (not @t243)) % 68.72/68.92 (define @t245 () (= @t239 @t235)) % 68.72/68.92 (define @t246 () (not @t245)) % 68.72/68.92 (define @t247 () (or @t246 @t207 @t203 @t244 @t242)) % 68.72/68.92 (define @t248 () (@list false false false false false)) % 68.72/68.92 (define @t249 () (tptp.app tptp.nil @t180)) % 68.72/68.92 (define @t250 () (= @t180 @t249)) % 68.72/68.92 (define @t251 () (or @t212 @t250)) % 68.72/68.92 (define @t252 () (tptp.app @t230 @t183)) % 68.72/68.92 (define @t253 () (= @t219 @t252)) % 68.72/68.92 (define @t254 () (or @t228 @t226 @t253)) % 68.72/68.92 (define @t255 () (tptp.ssItem @t184)) % 68.72/68.92 (define @t256 () (= tptp.sk3 (tptp.app (tptp.app @t182 @t214) @t183))) % 68.72/68.92 (define @t257 () (not @t256)) % 68.72/68.92 (define @t258 () (tptp.ssItem @t181)) % 68.72/68.92 (define @t259 () (not @t258)) % 68.72/68.92 (define @t260 () (or @t259 @t244 @t226 @t257 @t255)) % 68.72/68.92 (define @t261 () (not @t255)) % 68.72/68.92 (define @t262 () (not (tptp.memberP tptp.nil @t184))) % 68.72/68.92 (define @t263 () (or @t262 @t261)) % 68.72/68.92 (define @t264 () (tptp.memberP @t182 @t184)) % 68.72/68.92 (define @t265 () (or @t171 @t170 @t169 @t186 @t175)) % 68.72/68.92 (define @t266 () (or @t259 @t244 @t226 @t257 @t264)) % 68.72/68.92 (assume @p1 (tptp.equalelemsP tptp.nil)) % 68.72/68.92 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 68.72/68.92 (assume @p3 (tptp.strictorderedP tptp.nil)) % 68.72/68.92 (assume @p4 (tptp.totalorderedP tptp.nil)) % 68.72/68.92 (assume @p5 (tptp.strictorderP tptp.nil)) % 68.72/68.92 (assume @p6 (tptp.totalorderP tptp.nil)) % 68.72/68.92 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 68.72/68.92 (assume @p8 @t1) % 68.72/68.92 (assume @p9 (tptp.ssItem tptp.skac3)) % 68.72/68.92 (assume @p10 (tptp.ssItem tptp.skac2)) % 68.72/68.92 (assume @p11 (not (tptp.singletonP tptp.nil))) % 68.72/68.92 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 68.72/68.92 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 68.72/68.92 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 68.72/68.92 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 68.72/68.92 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 68.72/68.92 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 68.72/68.92 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 68.72/68.92 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 68.72/68.92 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 68.72/68.92 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 68.72/68.92 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 68.72/68.92 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 68.72/68.92 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 68.72/68.92 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 68.72/68.92 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 68.72/68.92 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 68.72/68.92 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 68.72/68.92 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 68.72/68.92 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 68.72/68.92 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 68.72/68.92 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 68.72/68.92 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 68.72/68.92 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 68.72/68.92 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 68.72/68.92 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 68.72/68.92 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 68.72/68.92 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 68.72/68.92 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 68.72/68.92 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 68.72/68.92 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 68.72/68.92 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 68.72/68.92 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 68.72/68.93 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 68.72/68.93 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 68.72/68.93 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 68.72/68.93 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 68.72/68.93 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 68.72/68.93 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 68.72/68.93 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 68.72/68.93 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 68.72/68.93 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 68.72/68.93 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 68.72/68.93 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 68.72/68.93 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 68.72/68.93 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 68.72/68.93 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 68.72/68.93 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 68.72/68.93 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 68.72/68.93 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 68.72/68.93 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 68.72/68.93 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 68.72/68.93 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 68.72/68.93 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 68.72/68.93 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 68.72/68.93 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 68.72/68.93 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 68.72/68.93 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 68.72/68.93 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 68.72/68.93 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 68.72/68.93 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 68.72/68.93 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 68.72/68.93 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 68.72/68.93 (assume @p74 @t53) % 68.72/68.93 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 68.72/68.93 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 68.72/68.93 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 68.72/68.93 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 68.72/68.93 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 68.72/68.93 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 68.72/68.93 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 68.72/68.93 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 68.72/68.93 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 68.72/68.93 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 68.72/68.93 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 68.72/68.93 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 68.72/68.93 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 68.72/68.93 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 68.72/68.93 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 68.72/68.93 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 68.72/68.93 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 68.72/68.93 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 68.72/68.93 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 68.72/68.93 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 68.72/68.93 (assume @p95 @t72) % 68.72/68.93 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 68.72/68.93 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 68.72/68.93 (assume @p98 (forall @t41 (or @t47 @t62 @t74 @t73))) % 68.72/68.93 (assume @p99 @t78) % 68.72/68.93 (assume @p100 (forall @t41 (or @t46 @t79 @t74 @t73))) % 68.72/68.93 (assume @p101 (forall @t41 (or @t82 @t79 @t46 @t80))) % 68.72/68.93 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 68.72/68.93 (assume @p103 (forall @t41 (or @t84 @t79 @t46 @t83))) % 68.72/68.93 (assume @p104 (forall @t41 (or @t82 @t46 @t79 @t85))) % 68.72/68.93 (assume @p105 (forall @t41 (or @t87 @t79 @t46 @t86))) % 68.72/68.93 (assume @p106 (forall @t41 (or @t89 @t46 @t79 @t88))) % 68.72/68.93 (assume @p107 @t92) % 68.72/68.93 (assume @p108 (forall @t41 (or @t84 (not @t85) @t46 @t79))) % 68.72/68.93 (assume @p109 (forall @t41 (or @t94 @t82 @t79 @t46))) % 68.72/68.93 (assume @p110 (forall @t41 (or @t58 @t47 @t79 (tptp.strictorderedP @t95)))) % 68.72/68.93 (assume @p111 (forall @t41 (or @t58 @t47 @t79 (tptp.totalorderedP @t95)))) % 68.72/68.93 (assume @p112 (forall @t41 (or @t82 (not @t83) @t46 @t79))) % 68.72/68.93 (assume @p113 (forall @t41 (or @t94 @t96 @t62 @t47))) % 68.72/68.93 (assume @p114 @t100) % 68.72/68.93 (assume @p115 (forall @t41 (or @t94 @t96 @t79 @t46))) % 68.72/68.93 (assume @p116 (forall @t41 (or @t103 @t62 @t47 @t54))) % 68.72/68.93 (assume @p117 (forall @t41 (or @t103 @t62 @t47 @t104))) % 68.72/68.93 (assume @p118 @t107) % 68.72/68.93 (assume @p119 (forall @t41 (or @t89 @t79 @t46 @t81 @t93))) % 68.72/68.93 (assume @p120 (forall @t41 (or @t47 @t62 @t104 (= (tptp.hd @t61) @t108)))) % 68.72/68.93 (assume @p121 (forall @t41 (or @t111 @t62 @t46 @t109 @t104))) % 68.72/68.93 (assume @p122 (forall @t41 (or @t114 @t62 @t46 @t112 @t104))) % 68.72/68.93 (assume @p123 (forall @t41 (or @t87 (not @t88) @t46 @t79 @t73))) % 68.72/68.93 (assume @p124 (forall @t41 (or @t115 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t73))) % 68.72/68.93 (assume @p125 (forall @t41 (or @t116 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t73))) % 68.72/68.93 (assume @p126 (forall @t41 (or @t117 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t73))) % 68.72/68.93 (assume @p127 (forall @t41 (or @t89 @t118 @t46 @t79 @t73))) % 68.72/68.93 (assume @p128 @t121) % 68.72/68.93 (assume @p129 (forall @t41 (or @t117 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 68.72/68.93 (assume @p130 (forall @t41 (or @t47 @t62 @t104 (= (tptp.tl @t61) (tptp.app @t122 @t2))))) % 68.72/68.93 (assume @p131 (forall @t41 (or @t111 @t62 @t46 @t123 @t104))) % 68.72/68.93 (assume @p132 (forall @t41 (or @t114 @t62 @t46 @t124 @t104))) % 68.72/68.93 (assume @p133 (forall @t128 (or @t116 @t127 @t62 @t47 (tptp.rearsegP @t126 @t40)))) % 68.72/68.93 (assume @p134 (forall @t128 (or @t117 @t127 @t62 @t47 (tptp.frontsegP @t129 @t40)))) % 68.72/68.93 (assume @p135 (forall @t128 (or @t94 @t127 @t79 @t46 (tptp.memberP @t130 @t2)))) % 68.72/68.93 (assume @p136 (forall @t128 (or @t133 @t47 @t132 @t79 (tptp.memberP @t131 @t40)))) % 68.72/68.93 (assume @p137 (forall @t128 (or @t133 @t127 @t47 @t79 (tptp.memberP @t129 @t40)))) % 68.72/68.93 (assume @p138 (forall @t128 (or @t133 @t47 @t127 @t79 (tptp.memberP @t126 @t40)))) % 68.72/68.93 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 68.72/68.93 (assume @p140 (forall @t128 (or @t134 @t47 @t62 @t127 (tptp.rearsegP @t125 @t40)))) % 68.72/68.93 (assume @p141 (forall @t128 (or @t134 @t62 @t47 @t127 (tptp.frontsegP @t125 @t2)))) % 68.72/68.93 (assume @p142 (forall @t41 (or @t58 (not @t104) @t62 @t47 @t102))) % 68.72/68.93 (assume @p143 (forall @t128 (or @t84 (not (tptp.gt @t40 @t125)) @t132 @t79 @t46 (tptp.gt @t2 @t125)))) % 68.72/68.93 (assume @p144 (forall @t128 (or @t89 @t136 @t132 @t79 @t46 @t135))) % 68.72/68.93 (assume @p145 (forall @t128 (or @t87 (not (tptp.geq @t40 @t125)) @t132 @t79 @t46 (tptp.geq @t2 @t125)))) % 68.72/68.93 (assume @p146 (forall @t128 (or @t47 @t62 @t127 (= (tptp.app @t137 @t2) (tptp.app @t125 @t61))))) % 68.72/68.93 (assume @p147 (forall @t128 (or (not (= @t101 @t129)) @t62 @t47 @t127 @t138))) % 68.72/68.93 (assume @p148 (forall @t128 (or (not (= @t101 @t137)) @t47 @t62 @t127 @t139))) % 68.72/68.93 (assume @p149 (forall @t128 (or @t115 (not (tptp.segmentP @t40 @t125)) @t127 @t62 @t47 (tptp.segmentP @t2 @t125)))) % 68.72/68.93 (assume @p150 (forall @t128 (or @t116 (not (tptp.rearsegP @t40 @t125)) @t127 @t62 @t47 (tptp.rearsegP @t2 @t125)))) % 68.72/68.93 (assume @p151 (forall @t128 (or @t117 (not (tptp.frontsegP @t40 @t125)) @t127 @t62 @t47 (tptp.frontsegP @t2 @t125)))) % 68.72/68.93 (assume @p152 (forall @t128 (or @t82 @t136 @t132 @t79 @t46 @t135))) % 68.72/68.93 (assume @p153 (forall @t128 (or @t89 (not (tptp.leq @t40 @t125)) @t132 @t79 @t46 (tptp.leq @t2 @t125)))) % 68.72/68.93 (assume @p154 (forall @t128 (or @t46 @t62 @t127 (= (tptp.cons @t2 (tptp.app @t40 @t125)) (tptp.app @t63 @t125))))) % 68.72/68.93 (assume @p155 (forall @t128 (or (not (tptp.memberP @t101 @t125)) @t62 @t47 @t132 @t140 (tptp.memberP @t2 @t125)))) % 68.72/68.93 (assume @p156 (forall @t41 (or (not @t124) (not @t112) @t62 @t46 @t113 @t104))) % 68.72/68.93 (assume @p157 (forall @t41 (or (not @t123) (not @t109) @t62 @t46 @t110 @t104))) % 68.72/68.93 (assume @p158 (forall @t128 (or (not (tptp.memberP @t63 @t125)) @t62 @t46 @t132 @t140 (= @t125 @t2)))) % 68.72/68.93 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 68.72/68.93 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 68.72/68.93 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 68.72/68.93 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 68.72/68.93 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 68.72/68.93 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 68.72/68.93 (assume @p165 (forall @t41 (or @t115 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 68.72/68.93 (assume @p166 (forall @t41 (or @t133 @t79 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 68.72/68.93 (assume @p167 (forall @t145 (or @t144 @t132 @t46 @t142 @t62 @t139))) % 68.72/68.93 (assume @p168 (forall @t145 (or @t144 @t132 @t46 @t142 @t62 (= @t141 @t40)))) % 68.72/68.93 (assume @p169 (forall @t145 (or @t115 @t127 @t142 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t141 @t2) @t125) @t40)))) % 68.72/68.93 (assume @p170 (forall @t145 (or (not (= (tptp.app @t101 @t125) @t141)) @t127 @t47 @t62 @t142 (tptp.segmentP @t141 @t40)))) % 68.72/68.93 (assume @p171 (forall @t145 (or @t146 @t142 @t62 @t132 @t46 (tptp.frontsegP @t40 @t141)))) % 68.72/68.93 (assume @p172 (forall @t145 (or (not (= @t147 @t141)) @t127 @t47 @t79 @t142 (tptp.memberP @t141 @t40)))) % 68.72/68.93 (assume @p173 (forall @t145 (or @t146 @t142 @t62 @t132 @t46 @t139))) % 68.72/68.93 (assume @p174 (forall @t41 (or (not (= @t55 @t122)) (not (= @t56 @t108)) @t47 @t62 @t104 @t93 @t54))) % 68.72/68.93 (assume @p175 (forall @t145 (or @t117 (not (= @t125 @t141)) @t62 @t47 @t148 @t132 (tptp.frontsegP @t131 (tptp.cons @t141 @t40))))) % 68.72/68.93 (assume @p176 (forall @t151 (or (not (= (tptp.app @t147 (tptp.cons @t40 @t141)) @t149)) @t142 @t127 @t47 @t79 (not (tptp.duplicatefreeP @t149)) @t150))) % 68.72/68.93 (assume @p177 (forall @t151 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t143)) @t149)) @t142 @t47 @t132 @t79 (not (tptp.equalelemsP @t149)) @t150 @t138))) % 68.72/68.93 (assume @p178 (forall @t156 (or @t155 @t150 @t127 @t47 @t148 @t79 (not (tptp.strictorderedP @t153)) @t154 @t152))) % 68.72/68.93 (assume @p179 (forall @t156 (or @t155 @t150 @t127 @t47 @t148 @t79 (not (tptp.totalorderedP @t153)) @t154 @t157))) % 68.72/68.93 (assume @p180 (forall @t156 (or @t155 @t150 @t127 @t47 @t148 @t79 (not (tptp.strictorderP @t153)) @t154 @t152 (tptp.lt @t141 @t40)))) % 68.72/68.93 (assume @p181 (forall @t156 (or @t155 @t150 @t127 @t47 @t148 @t79 (not (tptp.totalorderP @t153)) @t154 @t157 (tptp.leq @t141 @t40)))) % 68.72/68.93 (assume @p182 (forall @t156 (or @t89 @t118 (not (= (tptp.app (tptp.app @t125 (tptp.cons @t2 @t141)) (tptp.cons @t40 @t149)) @t153)) @t150 @t142 @t127 @t79 @t46 (not (tptp.cyclefreeP @t153)) @t154))) % 68.72/68.93 (assume @p183 (tptp.ssList tptp.sk1)) % 68.72/68.93 (assume @p184 (tptp.ssList tptp.sk2)) % 68.72/68.93 (assume @p185 @t158) % 68.72/68.93 (assume @p186 (tptp.ssList tptp.sk4)) % 68.72/68.93 (assume @p187 (= tptp.sk2 tptp.sk4)) % 68.72/68.93 (assume @p188 (= tptp.sk1 tptp.sk3)) % 68.72/68.93 (assume @p189 @t160) % 68.72/68.93 (assume @p190 @t174) % 68.72/68.93 (assume @p191 @t177) % 68.72/68.93 (assume @p192 (forall @t173 (or @t171 @t170 @t169 @t168 (tptp.memberP @t163 @t164)))) % 68.72/68.93 (assume @p193 (forall @t173 (or @t171 @t170 @t169 @t168 (tptp.leq @t161 @t164)))) % 68.72/68.93 (assume @p194 (forall @t173 (or @t171 @t170 @t169 @t168 (not (tptp.lt @t161 @t164))))) % 68.72/68.93 (assume @p195 (forall (@list @t161 @t162 @t163 @t178) (or @t171 (not (tptp.ssItem @t162)) @t169 (not (tptp.ssList @t178)) (= @t161 @t162) (not (= (tptp.app (tptp.app (tptp.app @t163 @t166) (tptp.cons @t162 tptp.nil)) @t178) tptp.sk3))))) % 68.72/68.93 (step @p196 :rule evaluate :args ((= true false))) % 68.72/68.93 (step @p197 :rule instantiate :premises (@p71) :args ((@list @t184))) % 68.72/68.93 (step @p198 :rule refl :args (@t165)) % 68.72/68.93 (step @p199 :rule refl :args (@t167)) % 68.72/68.93 (step @p200 :rule cong :premises (@p188 @p199) :args (@t185)) % 68.72/68.93 (step @p201 :rule cong :premises (@p200) :args (@t186)) % 68.72/68.93 (step @p202 :rule refl :args (@t169)) % 68.72/68.93 (step @p203 :rule refl :args (@t170)) % 68.72/68.93 (step @p204 :rule refl :args (@t171)) % 68.72/68.93 (step @p205 :rule nary_cong :premises (@p204 @p203 @p202 @p201 @p198) :args (@t187)) % 68.72/68.93 (step @p206 :rule cong :premises (@p205) :args ((forall @t173 @t187))) % 68.72/68.93 (step @p207 :rule eq-symm :args (@t167 tptp.sk1)) % 68.72/68.93 (step @p208 :rule cong :premises (@p207) :args (@t168)) % 68.72/68.93 (step @p209 :rule nary_cong :premises (@p204 @p203 @p202 @p208 @p198) :args (@t172)) % 68.72/68.93 (step @p210 :rule cong :premises (@p209) :args (@t174)) % 68.72/68.93 (step @p211 :rule trans :premises (@p210 @p206)) % 68.72/68.93 (step @p212 :rule eq_resolve :premises (@p190 @p211)) % 68.72/68.93 (step @p213 :rule instantiate :premises (@p212) :args (@t188)) % 68.72/68.93 (step @p214 :rule refl :args (@t183)) % 68.72/68.93 (step @p215 :rule eq-symm :args (@t75 @t2)) % 68.72/68.93 (step @p216 :rule refl :args (@t47)) % 68.72/68.93 (step @p217 :rule refl :args (@t76)) % 68.72/68.93 (step @p218 :rule nary_cong :premises (@p217 @p216 @p215) :args (@t77)) % 68.72/68.93 (step @p219 :rule cong :premises (@p218) :args (@t78)) % 68.72/68.93 (step @p220 :rule eq_resolve :premises (@p99 @p219)) % 68.72/68.93 (step @p221 :rule instantiate :premises (@p220) :args (@t189)) % 68.72/68.93 (step @p222 :rule aci_norm :args ((= (or false @t46 @t191 @t190) (or @t46 @t191 @t190)))) % 68.72/68.93 (step @p223 :rule refl :args (@t190)) % 68.72/68.93 (step @p224 :rule refl :args (@t191)) % 68.72/68.93 (step @p225 :rule refl :args (@t46)) % 68.72/68.93 (step @p226 :rule evaluate :args ((not true))) % 68.72/68.93 (step @p227 :rule eq-refl :args (@t48)) % 68.72/68.93 (step @p228 :rule cong :premises (@p227) :args (@t192)) % 68.72/68.93 (step @p229 :rule trans :premises (@p228 @p226)) % 68.72/68.93 (step @p230 :rule nary_cong :premises (@p229 @p225 @p224 @p223) :args (@t193)) % 68.72/68.93 (step @p231 :rule trans :premises (@p230 @p222)) % 68.72/68.93 (step @p232 :rule cong :premises (@p231) :args ((forall @t4 @t193))) % 68.72/68.93 (step @p233 :rule quant-var-elim-eq :args ((= (forall @t196 @t195) @t193))) % 68.72/68.93 (step @p234 :rule aci_norm :args ((= @t197 @t195))) % 68.72/68.93 (step @p235 :rule cong :premises (@p234) :args (@t198)) % 68.72/68.93 (step @p236 :rule trans :premises (@p235 @p233)) % 68.72/68.93 (step @p237 :rule cong :premises (@p236) :args (@t199)) % 68.72/68.93 (step @p238 :rule quant-merge-prenex :args ((= @t199 (forall @t41 @t197)))) % 68.72/68.93 (step @p239 :rule symm :premises (@p238)) % 68.72/68.93 (step @p240 :rule trans :premises (@p239 @p237)) % 68.72/68.93 (step @p241 :rule trans :premises (@p240 @p232)) % 68.72/68.93 (step @p242 :rule refl :args (@t97)) % 68.72/68.93 (step @p243 :rule refl :args (@t62)) % 68.72/68.93 (step @p244 :rule eq-symm :args (@t48 @t40)) % 68.72/68.93 (step @p245 :rule cong :premises (@p244) :args (@t98)) % 68.72/68.93 (step @p246 :rule nary_cong :premises (@p245 @p225 @p243 @p242) :args (@t99)) % 68.72/68.93 (step @p247 :rule cong :premises (@p246) :args (@t100)) % 68.72/68.93 (step @p248 :rule trans :premises (@p247 @p241)) % 68.72/68.93 (step @p249 :rule eq_resolve :premises (@p114 @p248)) % 68.72/68.93 (step @p250 :rule instantiate :premises (@p249) :args ((@list @t179))) % 68.72/68.93 (step @p251 :rule instantiate :premises (@p84) :args ((@list @t179 tptp.nil))) % 68.72/68.93 (step @p252 :rule instantiate :premises (@p76) :args (@t200)) % 68.72/68.93 (step @p253 :rule refl :args (tptp.nil)) % 68.72/68.93 (step @p254 :rule cong :premises (@p253 @p188) :args (@t159)) % 68.72/68.93 (step @p255 :rule cong :premises (@p254) :args (@t160)) % 68.72/68.93 (step @p256 :rule eq_resolve :premises (@p189 @p255)) % 68.72/68.93 (step @p257 :rule cnf_or_pos :args (@t204)) % 68.72/68.93 (step @p258 :rule reordering :premises (@p257) :args ((or @t201 @t203 @t202 (not @t204)))) % 68.72/68.93 (step @p259 :rule chain_m_resolution :premises (@p258 @p256 @p185 @p252) :args (@t202 @t205 (@list @t201 @t158 @t204))) % 68.72/68.93 (step @p260 :rule cnf_or_pos :args (@t209)) % 68.72/68.93 (step @p261 :rule reordering :premises (@p260) :args ((or @t207 @t208 @t206 (not @t209)))) % 68.72/68.93 (step @p262 :rule chain_m_resolution :premises (@p261 @p8 @p259 @p251) :args (@t206 @t210 (@list @t1 @t202 @t209))) % 68.72/68.93 (step @p263 :rule cnf_or_pos :args (@t213)) % 68.72/68.93 (step @p264 :rule reordering :premises (@p263) :args ((or @t208 @t212 @t211 (not @t213)))) % 68.72/68.93 (step @p265 :rule chain_m_resolution :premises (@p264 @p259 @p262 @p250) :args (@t211 @t210 (@list @t202 @t206 @t213))) % 68.72/68.93 (step @p266 :rule cnf_or_pos :args (@t217)) % 68.72/68.93 (step @p267 :rule reordering :premises (@p266) :args ((or @t212 @t216 @t215 (not @t217)))) % 68.72/68.93 (step @p268 :rule chain_m_resolution :premises (@p267 @p262 @p265 @p221) :args (@t215 @t210 (@list @t206 @t211 @t217))) % 68.72/68.93 (step @p269 :rule refl :args (@t54)) % 68.72/68.93 (step @p270 :rule eq-symm :args (@t90 @t2)) % 68.72/68.93 (step @p271 :rule nary_cong :premises (@p216 @p270 @p269) :args (@t91)) % 68.72/68.93 (step @p272 :rule cong :premises (@p271) :args (@t92)) % 68.72/68.93 (step @p273 :rule eq_resolve :premises (@p107 @p272)) % 68.72/68.93 (step @p274 :rule instantiate :premises (@p273) :args (@t200)) % 68.72/68.93 (step @p275 :rule cnf_or_pos :args (@t221)) % 68.72/68.93 (step @p276 :rule reordering :premises (@p275) :args ((or @t201 @t203 @t220 (not @t221)))) % 68.72/68.93 (step @p277 :rule chain_m_resolution :premises (@p276 @p256 @p185 @p274) :args (@t220 @t205 (@list @t201 @t158 @t221))) % 68.72/68.93 (step @p278 :rule symm :premises (@p277)) % 68.72/68.93 (step @p279 :rule cong :premises (@p278) :args (@t222)) % 68.72/68.93 (step @p280 :rule eq-symm :args (@t70 @t2)) % 68.72/68.93 (step @p281 :rule nary_cong :premises (@p225 @p243 @p280) :args (@t71)) % 68.72/68.93 (step @p282 :rule cong :premises (@p281) :args (@t72)) % 68.72/68.93 (step @p283 :rule eq_resolve :premises (@p95 @p282)) % 68.72/68.93 (step @p284 :rule instantiate :premises (@p283) :args (@t223)) % 68.72/68.93 (step @p285 :rule instantiate :premises (@p13) :args (@t200)) % 68.72/68.93 (step @p286 :rule instantiate :premises (@p12) :args (@t200)) % 68.72/68.93 (step @p287 :rule cnf_or_pos :args (@t229)) % 68.72/68.93 (step @p288 :rule reordering :premises (@p287) :args ((or @t228 @t226 @t224 (not @t229)))) % 68.72/68.93 (step @p289 :rule chain_m_resolution :premises (@p288 @p286 @p285 @p284) :args (@t224 @t210 (@list @t227 @t225 @t229))) % 68.72/68.93 (step @p290 :rule trans :premises (@p289 @p279)) % 68.72/68.93 (step @p291 :rule cong :premises (@p290 @p253) :args (@t230)) % 68.72/68.93 (step @p292 :rule trans :premises (@p291 @p268)) % 68.72/68.93 (step @p293 :rule instantiate :premises (@p148) :args ((@list tptp.nil tptp.sk3 @t182))) % 68.72/68.93 (step @p294 :rule eq-symm :args (@t119 @t2)) % 68.72/68.93 (step @p295 :rule refl :args (@t116)) % 68.72/68.93 (step @p296 :rule nary_cong :premises (@p295 @p243 @p216 @p294) :args (@t120)) % 68.72/68.93 (step @p297 :rule cong :premises (@p296) :args (@t121)) % 68.72/68.93 (step @p298 :rule eq_resolve :premises (@p128 @p297)) % 68.72/68.93 (step @p299 :rule instantiate :premises (@p298) :args (@t231)) % 68.72/68.93 (step @p300 :rule instantiate :premises (@p59) :args (@t200)) % 68.72/68.93 (step @p301 :rule cnf_or_pos :args (@t233)) % 68.72/68.93 (step @p302 :rule reordering :premises (@p301) :args ((or @t203 @t232 (not @t233)))) % 68.72/68.93 (step @p303 :rule chain_m_resolution :premises (@p302 @p185 @p300) :args (@t232 @t234 (@list @t158 @t233))) % 68.72/68.93 (step @p304 :rule cnf_or_pos :args (@t238)) % 68.72/68.93 (step @p305 :rule factoring :premises (@p304)) % 68.72/68.93 (step @p306 :rule reordering :premises (@p305) :args ((or @t203 @t237 @t236 (not @t238)))) % 68.72/68.93 (step @p307 :rule chain_m_resolution :premises (@p306 @p185 @p303 @p299) :args (@t236 @t210 (@list @t158 @t232 @t238))) % 68.72/68.93 (step @p308 :rule eq-symm :args (@t51 @t2)) % 68.72/68.93 (step @p309 :rule nary_cong :premises (@p216 @p308) :args (@t52)) % 68.72/68.93 (step @p310 :rule cong :premises (@p309) :args (@t53)) % 68.72/68.93 (step @p311 :rule eq_resolve :premises (@p74 @p310)) % 68.72/68.93 (step @p312 :rule instantiate :premises (@p311) :args (@t200)) % 68.72/68.93 (step @p313 :rule cnf_or_pos :args (@t241)) % 68.72/68.93 (step @p314 :rule reordering :premises (@p313) :args ((or @t203 @t240 (not @t241)))) % 68.72/68.93 (step @p315 :rule chain_m_resolution :premises (@p314 @p185 @p312) :args (@t240 @t234 (@list @t158 @t241))) % 68.72/68.93 (step @p316 :rule symm :premises (@p315)) % 68.72/68.93 (step @p317 :rule trans :premises (@p316 @p307)) % 68.72/68.93 (step @p318 :rule instantiate :premises (@p50) :args (@t231)) % 68.72/68.93 (step @p319 :rule cnf_or_pos :args (@t247)) % 68.72/68.93 (step @p320 :rule reordering :premises (@p319) :args ((or @t207 @t203 @t244 @t246 @t242 (not @t247)))) % 68.72/68.93 (step @p321 :rule chain_m_resolution :premises (@p320 @p8 @p185 @p318 @p317 @p293) :args (@t242 @t248 (@list @t1 @t158 @t243 @t245 @t247))) % 68.72/68.93 (step @p322 :rule cong :premises (@p321 @p292) :args ((tptp.app tptp.nil @t230))) % 68.72/68.93 (step @p323 :rule symm :premises (@p291)) % 68.72/68.93 (step @p324 :rule cong :premises (@p253 @p323) :args (@t249)) % 68.72/68.93 (step @p325 :rule instantiate :premises (@p311) :args (@t189)) % 68.72/68.93 (step @p326 :rule cnf_or_pos :args (@t251)) % 68.72/68.93 (step @p327 :rule reordering :premises (@p326) :args ((or @t212 @t250 (not @t251)))) % 68.72/68.93 (step @p328 :rule chain_m_resolution :premises (@p327 @p262 @p325) :args (@t250 @t234 (@list @t206 @t251))) % 68.72/68.93 (step @p329 :rule trans :premises (@p328 @p324 @p322)) % 68.72/68.93 (step @p330 :rule trans :premises (@p291 @p329)) % 68.72/68.93 (step @p331 :rule cong :premises (@p330 @p214) :args (@t252)) % 68.72/68.93 (step @p332 :rule eq-symm :args (@t105 @t63)) % 68.72/68.93 (step @p333 :rule nary_cong :premises (@p225 @p243 @p332) :args (@t106)) % 68.72/68.93 (step @p334 :rule cong :premises (@p333) :args (@t107)) % 68.72/68.93 (step @p335 :rule eq_resolve :premises (@p118 @p334)) % 68.72/68.93 (step @p336 :rule instantiate :premises (@p335) :args (@t223)) % 68.72/68.93 (step @p337 :rule cnf_or_pos :args (@t254)) % 68.72/68.93 (step @p338 :rule reordering :premises (@p337) :args ((or @t228 @t226 @t253 (not @t254)))) % 68.72/68.93 (step @p339 :rule chain_m_resolution :premises (@p338 @p286 @p285 @p336) :args (@t253 @t210 (@list @t227 @t225 @t254))) % 68.72/68.93 (step @p340 :rule trans :premises (@p277 @p339 @p331)) % 68.72/68.93 (step @p341 :rule instantiate :premises (@p47) :args (@t189)) % 68.72/68.93 (step @p342 :rule cnf_or_pos :args (@t260)) % 68.72/68.93 (step @p343 :rule reordering :premises (@p342) :args ((or @t226 @t244 @t259 @t257 @t255 (not @t260)))) % 68.72/68.93 (step @p344 :rule chain_m_resolution :premises (@p343 @p285 @p318 @p341 @p340 @p213) :args (@t255 @t248 (@list @t225 @t243 @t258 @t256 @t260))) % 68.72/68.93 (step @p345 :rule cnf_or_pos :args (@t263)) % 68.72/68.93 (step @p346 :rule reordering :premises (@p345) :args ((or @t261 @t262 (not @t263)))) % 68.72/68.93 (step @p347 :rule chain_m_resolution :premises (@p346 @p344 @p197) :args (@t262 @t234 (@list @t255 @t263))) % 68.72/68.93 (step @p348 :rule false_intro :premises (@p347)) % 68.72/68.93 (step @p349 :rule refl :args (@t184)) % 68.72/68.93 (step @p350 :rule symm :premises (@p321)) % 68.72/68.93 (step @p351 :rule cong :premises (@p350 @p349) :args (@t264)) % 68.72/68.93 (step @p352 :rule refl :args (@t175)) % 68.72/68.93 (step @p353 :rule nary_cong :premises (@p204 @p203 @p202 @p201 @p352) :args (@t265)) % 68.72/68.93 (step @p354 :rule cong :premises (@p353) :args ((forall @t173 @t265))) % 68.72/68.93 (step @p355 :rule nary_cong :premises (@p204 @p203 @p202 @p208 @p352) :args (@t176)) % 68.72/68.93 (step @p356 :rule cong :premises (@p355) :args (@t177)) % 68.72/68.93 (step @p357 :rule trans :premises (@p356 @p354)) % 68.72/68.93 (step @p358 :rule eq_resolve :premises (@p191 @p357)) % 68.72/68.93 (step @p359 :rule instantiate :premises (@p358) :args (@t188)) % 68.72/68.93 (step @p360 :rule cnf_or_pos :args (@t266)) % 68.72/68.93 (step @p361 :rule reordering :premises (@p360) :args ((or @t226 @t244 @t259 @t257 @t264 (not @t266)))) % 68.72/68.93 (step @p362 :rule chain_m_resolution :premises (@p361 @p285 @p318 @p341 @p340 @p359) :args (@t264 @t248 (@list @t225 @t243 @t258 @t256 @t266))) % 68.72/68.93 (step @p363 :rule true_intro :premises (@p362)) % 68.72/68.93 (step @p364 :rule symm :premises (@p363)) % 68.72/68.93 (step @p365 :rule trans :premises (@p364 @p351 @p348)) % 68.72/68.93 (step @p366 false :rule eq_resolve :premises (@p365 @p196)) % 68.72/68.93 ) % 68.72/68.93 % SZS output end Proof % 68.72/68.93 % cvc5 exiting %------------------------------------------------------------------------------