%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC250-1 : 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 08:58:36 AM UTC 2026 % Result : Unsatisfiable 73.47s 73.68s % Output : Proof 63.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.13 % Problem : SWC250-1 : TPTP v9.2.1. Released v2.4.0. % 0.10/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n028.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 300 % 0.16/0.36 % DateTime : Tue Jun 2 19:32:35 EDT 2026 % 0.16/0.36 % CPUTime : % 0.30/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.54/15.79 --- Run --no-e-matching --full-saturate-quant at 6... % 21.64/21.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.64/27.87 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.75/33.94 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.88/64.08 --- Run --trigger-sel=max --full-saturate-quant at 15... % 73.47/73.68 % SZS status Unsatisfiable % 73.47/73.68 % SZS output start Proof % 73.47/73.69 ( % 73.47/73.69 (declare-sort $$unsorted 0) % 73.47/73.69 (declare-const tptp.sk6 $$unsorted) % 73.47/73.69 (declare-const tptp.sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.sk4 $$unsorted) % 73.47/73.69 (declare-const tptp.sk2 $$unsorted) % 73.47/73.69 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.nil $$unsorted) % 73.47/73.69 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.sk1 $$unsorted) % 73.47/73.69 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.skac2 $$unsorted) % 73.47/73.69 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.sk3 $$unsorted) % 73.47/73.69 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.ssList (-> $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skac3 $$unsorted) % 73.47/73.69 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 73.47/73.69 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 73.47/73.69 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 73.47/73.69 (define @t1 () (tptp.ssList tptp.nil)) % 73.47/73.69 (define @t2 () (@var "U" $$unsorted)) % 73.47/73.69 (define @t3 () (tptp.skaf83 @t2)) % 73.47/73.69 (define @t4 () (@list @t2)) % 73.47/73.69 (define @t5 () (tptp.skaf82 @t2)) % 73.47/73.69 (define @t6 () (tptp.skaf81 @t2)) % 73.47/73.69 (define @t7 () (tptp.skaf80 @t2)) % 73.47/73.69 (define @t8 () (tptp.skaf79 @t2)) % 73.47/73.69 (define @t9 () (tptp.skaf78 @t2)) % 73.47/73.69 (define @t10 () (tptp.skaf77 @t2)) % 73.47/73.69 (define @t11 () (tptp.skaf76 @t2)) % 73.47/73.69 (define @t12 () (tptp.skaf75 @t2)) % 73.47/73.69 (define @t13 () (tptp.skaf74 @t2)) % 73.47/73.69 (define @t14 () (tptp.skaf73 @t2)) % 73.47/73.69 (define @t15 () (tptp.skaf72 @t2)) % 73.47/73.69 (define @t16 () (tptp.skaf71 @t2)) % 73.47/73.69 (define @t17 () (tptp.skaf70 @t2)) % 73.47/73.69 (define @t18 () (tptp.skaf69 @t2)) % 73.47/73.69 (define @t19 () (tptp.skaf68 @t2)) % 73.47/73.69 (define @t20 () (tptp.skaf67 @t2)) % 73.47/73.69 (define @t21 () (tptp.skaf66 @t2)) % 73.47/73.69 (define @t22 () (tptp.skaf65 @t2)) % 73.47/73.69 (define @t23 () (tptp.skaf64 @t2)) % 73.47/73.69 (define @t24 () (tptp.skaf63 @t2)) % 73.47/73.69 (define @t25 () (tptp.skaf62 @t2)) % 73.47/73.69 (define @t26 () (tptp.skaf61 @t2)) % 73.47/73.69 (define @t27 () (tptp.skaf60 @t2)) % 73.47/73.69 (define @t28 () (tptp.skaf59 @t2)) % 73.47/73.69 (define @t29 () (tptp.skaf58 @t2)) % 73.47/73.69 (define @t30 () (tptp.skaf57 @t2)) % 73.47/73.69 (define @t31 () (tptp.skaf56 @t2)) % 73.47/73.69 (define @t32 () (tptp.skaf55 @t2)) % 73.47/73.69 (define @t33 () (tptp.skaf54 @t2)) % 73.47/73.69 (define @t34 () (tptp.skaf53 @t2)) % 73.47/73.69 (define @t35 () (tptp.skaf52 @t2)) % 73.47/73.69 (define @t36 () (tptp.skaf51 @t2)) % 73.47/73.69 (define @t37 () (tptp.skaf50 @t2)) % 73.47/73.69 (define @t38 () (tptp.skaf49 @t2)) % 73.47/73.69 (define @t39 () (tptp.skaf44 @t2)) % 73.47/73.69 (define @t40 () (@var "V" $$unsorted)) % 73.47/73.69 (define @t41 () (@list @t2 @t40)) % 73.47/73.69 (define @t42 () (tptp.skaf47 @t2 @t40)) % 73.47/73.69 (define @t43 () (tptp.skaf46 @t2 @t40)) % 73.47/73.69 (define @t44 () (tptp.skaf45 @t2 @t40)) % 73.47/73.69 (define @t45 () (tptp.skaf42 @t2 @t40)) % 73.47/73.69 (define @t46 () (not (tptp.ssItem @t2))) % 73.47/73.69 (define @t47 () (not (tptp.ssList @t2))) % 73.47/73.69 (define @t48 () (tptp.cons @t2 tptp.nil)) % 73.47/73.69 (define @t49 () (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 73.47/73.69 (define @t50 () (tptp.ssItem @t40)) % 73.47/73.69 (define @t51 () (tptp.duplicatefreeP @t2)) % 73.47/73.69 (define @t52 () (tptp.app tptp.nil @t2)) % 73.47/73.69 (define @t53 () (or @t47 (= @t52 @t2))) % 73.47/73.69 (define @t54 () (forall @t4 @t53)) % 73.47/73.69 (define @t55 () (= tptp.nil @t2)) % 73.47/73.69 (define @t56 () (tptp.tl @t2)) % 73.47/73.69 (define @t57 () (tptp.hd @t2)) % 73.47/73.69 (define @t58 () (tptp.segmentP tptp.nil @t2)) % 73.47/73.69 (define @t59 () (not @t55)) % 73.47/73.69 (define @t60 () (tptp.rearsegP tptp.nil @t2)) % 73.47/73.69 (define @t61 () (tptp.frontsegP tptp.nil @t2)) % 73.47/73.69 (define @t62 () (tptp.app @t40 @t2)) % 73.47/73.69 (define @t63 () (not (tptp.ssList @t40))) % 73.47/73.69 (define @t64 () (tptp.cons @t2 @t40)) % 73.47/73.69 (define @t65 () (tptp.cyclefreeP @t2)) % 73.47/73.69 (define @t66 () (tptp.equalelemsP @t2)) % 73.47/73.69 (define @t67 () (tptp.strictorderedP @t2)) % 73.47/73.69 (define @t68 () (tptp.totalorderedP @t2)) % 73.47/73.69 (define @t69 () (tptp.strictorderP @t2)) % 73.47/73.69 (define @t70 () (tptp.totalorderP @t2)) % 73.47/73.69 (define @t71 () (tptp.tl @t64)) % 73.47/73.69 (define @t72 () (or @t46 @t63 (= @t71 @t40))) % 73.47/73.69 (define @t73 () (forall @t41 @t72)) % 73.47/73.69 (define @t74 () (tptp.hd @t64)) % 73.47/73.69 (define @t75 () (or @t46 @t63 (= @t74 @t2))) % 73.47/73.69 (define @t76 () (forall @t41 @t75)) % 73.47/73.69 (define @t77 () (= @t40 @t2)) % 73.47/73.69 (define @t78 () (tptp.neq @t40 @t2)) % 73.47/73.69 (define @t79 () (tptp.cons @t39 tptp.nil)) % 73.47/73.69 (define @t80 () (not (tptp.singletonP @t2))) % 73.47/73.69 (define @t81 () (or @t80 @t47 (= @t79 @t2))) % 73.47/73.69 (define @t82 () (forall @t4 @t81)) % 73.47/73.69 (define @t83 () (not @t50)) % 73.47/73.69 (define @t84 () (tptp.leq @t2 @t40)) % 73.47/73.69 (define @t85 () (tptp.lt @t2 @t40)) % 73.47/73.69 (define @t86 () (not @t85)) % 73.47/73.69 (define @t87 () (tptp.lt @t40 @t2)) % 73.47/73.69 (define @t88 () (not (tptp.gt @t2 @t40))) % 73.47/73.69 (define @t89 () (tptp.gt @t40 @t2)) % 73.47/73.69 (define @t90 () (tptp.leq @t40 @t2)) % 73.47/73.69 (define @t91 () (not (tptp.geq @t2 @t40))) % 73.47/73.69 (define @t92 () (tptp.geq @t40 @t2)) % 73.47/73.69 (define @t93 () (not @t84)) % 73.47/73.69 (define @t94 () (tptp.cons @t3 @t5)) % 73.47/73.69 (define @t95 () (or @t47 (= @t94 @t2) @t55)) % 73.47/73.69 (define @t96 () (forall @t4 @t95)) % 73.47/73.69 (define @t97 () (= @t2 @t40)) % 73.47/73.69 (define @t98 () (not @t97)) % 73.47/73.69 (define @t99 () (tptp.cons @t40 @t2)) % 73.47/73.69 (define @t100 () (not (tptp.neq @t2 @t40))) % 73.47/73.69 (define @t101 () (tptp.singletonP @t40)) % 73.47/73.69 (define @t102 () (not (= @t48 @t40))) % 73.47/73.69 (define @t103 () (or @t102 @t46 @t63 @t101)) % 73.47/73.69 (define @t104 () (forall @t41 @t103)) % 73.47/73.69 (define @t105 () (tptp.app @t2 @t40)) % 73.47/73.69 (define @t106 () (= @t105 tptp.nil)) % 73.47/73.69 (define @t107 () (not @t106)) % 73.47/73.69 (define @t108 () (or @t107 @t63 @t47 @t55)) % 73.47/73.69 (define @t109 () (forall @t41 @t108)) % 73.47/73.69 (define @t110 () (= tptp.nil @t40)) % 73.47/73.69 (define @t111 () (tptp.app @t48 @t40)) % 73.47/73.69 (define @t112 () (or @t46 @t63 (= @t111 @t64))) % 73.47/73.69 (define @t113 () (forall @t41 @t112)) % 73.47/73.69 (define @t114 () (tptp.hd @t40)) % 73.47/73.69 (define @t115 () (forall @t41 (or @t47 @t63 @t110 (= (tptp.hd @t62) @t114)))) % 73.47/73.69 (define @t116 () (tptp.strictorderedP @t40)) % 73.47/73.69 (define @t117 () (tptp.strictorderedP @t64)) % 73.47/73.69 (define @t118 () (not @t117)) % 73.47/73.69 (define @t119 () (tptp.totalorderedP @t40)) % 73.47/73.69 (define @t120 () (tptp.totalorderedP @t64)) % 73.47/73.69 (define @t121 () (not @t120)) % 73.47/73.69 (define @t122 () (not (tptp.segmentP @t2 @t40))) % 73.47/73.69 (define @t123 () (not (tptp.rearsegP @t2 @t40))) % 73.47/73.69 (define @t124 () (not (tptp.frontsegP @t2 @t40))) % 73.47/73.69 (define @t125 () (not @t90)) % 73.47/73.69 (define @t126 () (tptp.tl @t40)) % 73.47/73.69 (define @t127 () (tptp.lt @t2 @t114)) % 73.47/73.69 (define @t128 () (tptp.leq @t2 @t114)) % 73.47/73.69 (define @t129 () (@var "W" $$unsorted)) % 73.47/73.69 (define @t130 () (tptp.app @t129 @t2)) % 73.47/73.69 (define @t131 () (not (tptp.ssList @t129))) % 73.47/73.69 (define @t132 () (@list @t2 @t40 @t129)) % 73.47/73.69 (define @t133 () (tptp.app @t2 @t129)) % 73.47/73.69 (define @t134 () (tptp.cons @t40 @t129)) % 73.47/73.69 (define @t135 () (tptp.cons @t129 @t2)) % 73.47/73.69 (define @t136 () (not (tptp.ssItem @t129))) % 73.47/73.69 (define @t137 () (not (tptp.memberP @t2 @t40))) % 73.47/73.69 (define @t138 () (not (= @t105 @t129))) % 73.47/73.69 (define @t139 () (tptp.lt @t2 @t129)) % 73.47/73.69 (define @t140 () (not (tptp.lt @t40 @t129))) % 73.47/73.69 (define @t141 () (tptp.app @t129 @t40)) % 73.47/73.69 (define @t142 () (= @t40 @t129)) % 73.47/73.69 (define @t143 () (= @t2 @t129)) % 73.47/73.69 (define @t144 () (tptp.memberP @t40 @t129)) % 73.47/73.69 (define @t145 () (@var "X" $$unsorted)) % 73.47/73.69 (define @t146 () (not (tptp.ssList @t145))) % 73.47/73.69 (define @t147 () (tptp.cons @t129 @t145)) % 73.47/73.69 (define @t148 () (not (= @t64 @t147))) % 73.47/73.69 (define @t149 () (@list @t2 @t40 @t129 @t145)) % 73.47/73.69 (define @t150 () (not (tptp.frontsegP @t64 @t147))) % 73.47/73.69 (define @t151 () (tptp.app @t2 @t134)) % 73.47/73.69 (define @t152 () (not (tptp.ssItem @t145))) % 73.47/73.69 (define @t153 () (@var "Y" $$unsorted)) % 73.47/73.69 (define @t154 () (not (tptp.ssList @t153))) % 73.47/73.69 (define @t155 () (@list @t2 @t40 @t129 @t145 @t153)) % 73.47/73.69 (define @t156 () (tptp.lt @t40 @t145)) % 73.47/73.69 (define @t157 () (@var "Z" $$unsorted)) % 73.47/73.69 (define @t158 () (not (tptp.ssList @t157))) % 73.47/73.69 (define @t159 () (not (= (tptp.app @t151 (tptp.cons @t145 @t153)) @t157))) % 73.47/73.69 (define @t160 () (@list @t2 @t40 @t129 @t145 @t153 @t157)) % 73.47/73.69 (define @t161 () (tptp.leq @t40 @t145)) % 73.47/73.69 (define @t162 () (tptp.ssList tptp.sk2)) % 73.47/73.69 (define @t163 () (tptp.ssList tptp.sk3)) % 73.47/73.69 (define @t164 () (= tptp.nil tptp.sk1)) % 73.47/73.69 (define @t165 () (not @t164)) % 73.47/73.69 (define @t166 () (@var "A" $$unsorted)) % 73.47/73.69 (define @t167 () (@var "B" $$unsorted)) % 73.47/73.69 (define @t168 () (@var "C" $$unsorted)) % 73.47/73.69 (define @t169 () (tptp.sk5 @t168 @t167 @t166)) % 73.47/73.69 (define @t170 () (tptp.ssItem @t169)) % 73.47/73.69 (define @t171 () (tptp.cons @t166 tptp.nil)) % 73.47/73.69 (define @t172 () (tptp.app (tptp.app @t167 @t171) @t168)) % 73.47/73.69 (define @t173 () (not (= @t172 tptp.sk1))) % 73.47/73.69 (define @t174 () (not (tptp.ssList @t168))) % 73.47/73.69 (define @t175 () (not (tptp.ssList @t167))) % 73.47/73.69 (define @t176 () (not (tptp.ssItem @t166))) % 73.47/73.69 (define @t177 () (or @t176 @t175 @t174 @t173 @t170)) % 73.47/73.69 (define @t178 () (@list @t166 @t167 @t168)) % 73.47/73.69 (define @t179 () (forall @t178 @t177)) % 73.47/73.69 (define @t180 () (tptp.memberP @t167 @t169)) % 73.47/73.69 (define @t181 () (or @t176 @t175 @t174 @t173 @t180)) % 73.47/73.69 (define @t182 () (forall @t178 @t181)) % 73.47/73.69 (define @t183 () (tptp.ssList tptp.sk6)) % 73.47/73.69 (define @t184 () (tptp.app tptp.sk3 tptp.sk6)) % 73.47/73.69 (define @t185 () (@var "D" $$unsorted)) % 73.47/73.69 (define @t186 () (= tptp.nil tptp.sk3)) % 73.47/73.69 (define @t187 () (= tptp.sk1 @t172)) % 73.47/73.69 (define @t188 () (not @t187)) % 73.47/73.69 (define @t189 () (or @t176 @t175 @t174 @t188 @t180)) % 73.47/73.69 (define @t190 () (tptp.skaf82 tptp.sk3)) % 73.47/73.69 (define @t191 () (tptp.hd @t184)) % 73.47/73.69 (define @t192 () (tptp.cons @t191 tptp.nil)) % 73.47/73.69 (define @t193 () (tptp.skaf44 @t192)) % 73.47/73.69 (define @t194 () (@list @t193 tptp.nil @t190)) % 73.47/73.69 (define @t195 () (tptp.skaf83 tptp.sk3)) % 73.47/73.69 (define @t196 () (@list @t195 @t190)) % 73.47/73.69 (define @t197 () (@list tptp.sk3)) % 73.47/73.69 (define @t198 () (tptp.cons @t195 @t190)) % 73.47/73.69 (define @t199 () (= @t190 (tptp.tl @t198))) % 73.47/73.69 (define @t200 () (tptp.ssList @t190)) % 73.47/73.69 (define @t201 () (not @t200)) % 73.47/73.69 (define @t202 () (tptp.ssItem @t195)) % 73.47/73.69 (define @t203 () (not @t202)) % 73.47/73.69 (define @t204 () (or @t203 @t201 @t199)) % 73.47/73.69 (define @t205 () (@list false false false)) % 73.47/73.69 (define @t206 () (= tptp.sk3 @t198)) % 73.47/73.69 (define @t207 () (not @t163)) % 73.47/73.69 (define @t208 () (or @t207 @t206 @t186)) % 73.47/73.69 (define @t209 () (@list true false false)) % 73.47/73.69 (define @t210 () (tptp.tl tptp.sk3)) % 73.47/73.69 (define @t211 () (@list @t192)) % 73.47/73.69 (define @t212 () (tptp.singletonP @t48)) % 73.47/73.69 (define @t213 () (not (tptp.ssList @t48))) % 73.47/73.69 (define @t214 () (not (= @t48 @t48))) % 73.47/73.69 (define @t215 () (or @t214 @t46 @t213 @t212)) % 73.47/73.69 (define @t216 () (not (= @t40 @t48))) % 73.47/73.69 (define @t217 () (or @t216 @t216 @t46 @t63 @t101)) % 73.47/73.69 (define @t218 () (@list @t40)) % 73.47/73.69 (define @t219 () (or @t216 @t46 @t63 @t101)) % 73.47/73.69 (define @t220 () (forall @t218 @t219)) % 73.47/73.69 (define @t221 () (forall @t4 @t220)) % 73.47/73.69 (define @t222 () (not @t183)) % 73.47/73.69 (define @t223 () (= tptp.nil @t184)) % 73.47/73.69 (define @t224 () (not @t223)) % 73.47/73.69 (define @t225 () (or @t224 @t222 @t207 @t186)) % 73.47/73.69 (define @t226 () (@list true false false false)) % 73.47/73.69 (define @t227 () (tptp.ssItem @t191)) % 73.47/73.69 (define @t228 () (tptp.ssList @t184)) % 73.47/73.69 (define @t229 () (not @t228)) % 73.47/73.69 (define @t230 () (or @t229 @t227 @t223)) % 73.47/73.69 (define @t231 () (tptp.ssList @t192)) % 73.47/73.69 (define @t232 () (not @t1)) % 73.47/73.69 (define @t233 () (not @t227)) % 73.47/73.69 (define @t234 () (or @t233 @t232 @t231)) % 73.47/73.69 (define @t235 () (tptp.singletonP @t192)) % 73.47/73.69 (define @t236 () (not @t231)) % 73.47/73.69 (define @t237 () (or @t233 @t236 @t235)) % 73.47/73.69 (define @t238 () (tptp.cons @t193 tptp.nil)) % 73.47/73.69 (define @t239 () (= @t192 @t238)) % 73.47/73.69 (define @t240 () (not @t235)) % 73.47/73.69 (define @t241 () (or @t240 @t236 @t239)) % 73.47/73.69 (define @t242 () (tptp.app tptp.nil @t192)) % 73.47/73.69 (define @t243 () (= @t192 @t242)) % 73.47/73.69 (define @t244 () (or @t236 @t243)) % 73.47/73.69 (define @t245 () (@list false false)) % 73.47/73.69 (define @t246 () (tptp.hd tptp.sk3)) % 73.47/73.69 (define @t247 () (or @t222 @t207 @t186 (= @t191 @t246))) % 73.47/73.69 (define @t248 () (= @t246 @t191)) % 73.47/73.69 (define @t249 () (or @t222 @t207 @t186 @t248)) % 73.47/73.69 (define @t250 () (tptp.cons @t246 tptp.nil)) % 73.47/73.69 (define @t251 () (tptp.hd @t198)) % 73.47/73.69 (define @t252 () (= @t195 @t251)) % 73.47/73.69 (define @t253 () (or @t203 @t201 @t252)) % 73.47/73.69 (define @t254 () (tptp.cons @t195 tptp.nil)) % 73.47/73.69 (define @t255 () (tptp.app @t254 @t190)) % 73.47/73.69 (define @t256 () (= @t198 @t255)) % 73.47/73.69 (define @t257 () (or @t203 @t201 @t256)) % 73.47/73.69 (define @t258 () (tptp.sk5 @t190 tptp.nil @t193)) % 73.47/73.69 (define @t259 () (tptp.memberP tptp.nil @t258)) % 73.47/73.69 (define @t260 () (= tptp.sk3 (tptp.app (tptp.app tptp.nil @t238) @t190))) % 73.47/73.69 (define @t261 () (not @t260)) % 73.47/73.69 (define @t262 () (tptp.ssItem @t193)) % 73.47/73.69 (define @t263 () (not @t262)) % 73.47/73.69 (define @t264 () (or @t263 @t232 @t201 @t261 @t259)) % 73.47/73.69 (define @t265 () (@list false false false false false)) % 73.47/73.69 (define @t266 () (or @t176 @t175 @t174 @t188 @t170)) % 73.47/73.69 (define @t267 () (tptp.ssItem @t258)) % 73.47/73.69 (define @t268 () (or @t263 @t232 @t201 @t261 @t267)) % 73.47/73.69 (define @t269 () (not @t267)) % 73.47/73.69 (define @t270 () (not @t259)) % 73.47/73.69 (define @t271 () (or @t270 @t269)) % 73.47/73.69 (define @t272 () (not @t271)) % 73.47/73.69 (assume @p1 (tptp.equalelemsP tptp.nil)) % 73.47/73.69 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 73.47/73.69 (assume @p3 (tptp.strictorderedP tptp.nil)) % 73.47/73.69 (assume @p4 (tptp.totalorderedP tptp.nil)) % 73.47/73.69 (assume @p5 (tptp.strictorderP tptp.nil)) % 73.47/73.69 (assume @p6 (tptp.totalorderP tptp.nil)) % 73.47/73.69 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 73.47/73.69 (assume @p8 @t1) % 73.47/73.69 (assume @p9 (tptp.ssItem tptp.skac3)) % 73.47/73.69 (assume @p10 (tptp.ssItem tptp.skac2)) % 73.47/73.69 (assume @p11 (not (tptp.singletonP tptp.nil))) % 73.47/73.69 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 73.47/73.69 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 73.47/73.69 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 73.47/73.69 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 73.47/73.69 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 73.47/73.69 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 73.47/73.69 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 73.47/73.69 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 73.47/73.69 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 73.47/73.69 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 73.47/73.69 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 73.47/73.69 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 73.47/73.69 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 73.47/73.69 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 73.47/73.69 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 73.47/73.69 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 73.47/73.69 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 73.47/73.69 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 73.47/73.69 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 73.47/73.69 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 73.47/73.69 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 73.47/73.69 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 73.47/73.69 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 73.47/73.69 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 73.47/73.69 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 73.47/73.69 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 73.47/73.69 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 73.47/73.69 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 73.47/73.69 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 73.47/73.69 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 73.47/73.69 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 73.47/73.69 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 73.47/73.69 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 73.47/73.69 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 73.47/73.69 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 73.47/73.69 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 73.47/73.69 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 73.47/73.69 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 73.47/73.69 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 73.47/73.69 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 73.47/73.69 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 73.47/73.69 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 73.47/73.69 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 73.47/73.69 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 73.47/73.69 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 73.47/73.69 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 73.47/73.69 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 73.47/73.69 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 73.47/73.69 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 73.47/73.69 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 73.47/73.69 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 73.47/73.69 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 73.47/73.69 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 73.47/73.69 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 73.47/73.69 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 73.47/73.69 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 73.47/73.69 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 73.47/73.69 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 73.47/73.69 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 73.47/73.69 (assume @p71 @t49) % 73.47/73.69 (assume @p72 (forall @t41 (or @t47 @t51 @t50))) % 73.47/73.69 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 73.47/73.69 (assume @p74 @t54) % 73.47/73.69 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t56) @t55))) % 73.47/73.69 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t57) @t55))) % 73.47/73.69 (assume @p77 (forall @t4 (or @t59 @t47 @t58))) % 73.47/73.69 (assume @p78 (forall @t4 (or (not @t58) @t47 @t55))) % 73.47/73.69 (assume @p79 (forall @t4 (or @t59 @t47 @t60))) % 73.47/73.69 (assume @p80 (forall @t4 (or (not @t60) @t47 @t55))) % 73.47/73.69 (assume @p81 (forall @t4 (or @t59 @t47 @t61))) % 73.47/73.69 (assume @p82 (forall @t4 (or (not @t61) @t47 @t55))) % 73.47/73.69 (assume @p83 (forall @t41 (or @t47 @t63 (tptp.ssList @t62)))) % 73.47/73.69 (assume @p84 (forall @t41 (or @t46 @t63 (tptp.ssList @t64)))) % 73.47/73.69 (assume @p85 (forall @t4 (or @t47 @t65 (tptp.leq @t37 @t38)))) % 73.47/73.69 (assume @p86 (forall @t4 (or @t47 @t65 (tptp.leq @t38 @t37)))) % 73.47/73.69 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t66))) % 73.47/73.69 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t67))) % 73.47/73.69 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t68))) % 73.47/73.69 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t69))) % 73.47/73.69 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t69))) % 73.47/73.69 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t70))) % 73.47/73.69 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t70))) % 73.47/73.69 (assume @p94 @t73) % 73.47/73.69 (assume @p95 @t76) % 73.47/73.69 (assume @p96 (forall @t41 (or (not (= @t64 tptp.nil)) @t46 @t63))) % 73.47/73.69 (assume @p97 (forall @t41 (or (not (= @t64 @t40)) @t46 @t63))) % 73.47/73.69 (assume @p98 (forall @t41 (or @t47 @t63 @t78 @t77))) % 73.47/73.69 (assume @p99 @t82) % 73.47/73.69 (assume @p100 (forall @t41 (or @t46 @t83 @t78 @t77))) % 73.47/73.69 (assume @p101 (forall @t41 (or @t86 @t83 @t46 @t84))) % 73.47/73.69 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t57 @t56) @t2) @t55))) % 73.47/73.69 (assume @p103 (forall @t41 (or @t88 @t83 @t46 @t87))) % 73.47/73.69 (assume @p104 (forall @t41 (or @t86 @t46 @t83 @t89))) % 73.47/73.69 (assume @p105 (forall @t41 (or @t91 @t83 @t46 @t90))) % 73.47/73.69 (assume @p106 (forall @t41 (or @t93 @t46 @t83 @t92))) % 73.47/73.69 (assume @p107 @t96) % 73.47/73.69 (assume @p108 (forall @t41 (or @t88 (not @t89) @t46 @t83))) % 73.47/73.69 (assume @p109 (forall @t41 (or @t98 @t86 @t83 @t46))) % 73.47/73.69 (assume @p110 (forall @t41 (or @t59 @t47 @t83 (tptp.strictorderedP @t99)))) % 73.47/73.69 (assume @p111 (forall @t41 (or @t59 @t47 @t83 (tptp.totalorderedP @t99)))) % 73.47/73.69 (assume @p112 (forall @t41 (or @t86 (not @t87) @t46 @t83))) % 73.47/73.69 (assume @p113 (forall @t41 (or @t98 @t100 @t63 @t47))) % 73.47/73.69 (assume @p114 @t104) % 73.47/73.69 (assume @p115 (forall @t41 (or @t98 @t100 @t83 @t46))) % 73.47/73.69 (assume @p116 @t109) % 73.47/73.69 (assume @p117 (forall @t41 (or @t107 @t63 @t47 @t110))) % 73.47/73.69 (assume @p118 @t113) % 73.47/73.69 (assume @p119 (forall @t41 (or @t93 @t83 @t46 @t85 @t97))) % 73.47/73.69 (assume @p120 @t115) % 73.47/73.69 (assume @p121 (forall @t41 (or @t118 @t63 @t46 @t116 @t110))) % 73.47/73.69 (assume @p122 (forall @t41 (or @t121 @t63 @t46 @t119 @t110))) % 73.47/73.69 (assume @p123 (forall @t41 (or @t91 (not @t92) @t46 @t83 @t77))) % 73.47/73.69 (assume @p124 (forall @t41 (or @t122 (not (tptp.segmentP @t40 @t2)) @t47 @t63 @t77))) % 73.47/73.69 (assume @p125 (forall @t41 (or @t123 (not (tptp.rearsegP @t40 @t2)) @t47 @t63 @t77))) % 73.47/73.69 (assume @p126 (forall @t41 (or @t124 (not (tptp.frontsegP @t40 @t2)) @t47 @t63 @t77))) % 73.47/73.69 (assume @p127 (forall @t41 (or @t93 @t125 @t46 @t83 @t77))) % 73.47/73.69 (assume @p128 (forall @t41 (or @t123 @t63 @t47 (= (tptp.app @t43 @t40) @t2)))) % 73.47/73.69 (assume @p129 (forall @t41 (or @t124 @t63 @t47 (= (tptp.app @t40 @t44) @t2)))) % 73.47/73.69 (assume @p130 (forall @t41 (or @t47 @t63 @t110 (= (tptp.tl @t62) (tptp.app @t126 @t2))))) % 73.47/73.69 (assume @p131 (forall @t41 (or @t118 @t63 @t46 @t127 @t110))) % 73.47/73.69 (assume @p132 (forall @t41 (or @t121 @t63 @t46 @t128 @t110))) % 73.47/73.69 (assume @p133 (forall @t132 (or @t123 @t131 @t63 @t47 (tptp.rearsegP @t130 @t40)))) % 73.47/73.69 (assume @p134 (forall @t132 (or @t124 @t131 @t63 @t47 (tptp.frontsegP @t133 @t40)))) % 73.47/73.69 (assume @p135 (forall @t132 (or @t98 @t131 @t83 @t46 (tptp.memberP @t134 @t2)))) % 73.47/73.69 (assume @p136 (forall @t132 (or @t137 @t47 @t136 @t83 (tptp.memberP @t135 @t40)))) % 73.47/73.69 (assume @p137 (forall @t132 (or @t137 @t131 @t47 @t83 (tptp.memberP @t133 @t40)))) % 73.47/73.69 (assume @p138 (forall @t132 (or @t137 @t47 @t131 @t83 (tptp.memberP @t130 @t40)))) % 73.47/73.69 (assume @p139 (forall @t4 (or @t47 @t66 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 73.47/73.69 (assume @p140 (forall @t132 (or @t138 @t47 @t63 @t131 (tptp.rearsegP @t129 @t40)))) % 73.47/73.69 (assume @p141 (forall @t132 (or @t138 @t63 @t47 @t131 (tptp.frontsegP @t129 @t2)))) % 73.47/73.69 (assume @p142 (forall @t41 (or @t59 (not @t110) @t63 @t47 @t106))) % 73.47/73.69 (assume @p143 (forall @t132 (or @t88 (not (tptp.gt @t40 @t129)) @t136 @t83 @t46 (tptp.gt @t2 @t129)))) % 73.47/73.69 (assume @p144 (forall @t132 (or @t93 @t140 @t136 @t83 @t46 @t139))) % 73.47/73.69 (assume @p145 (forall @t132 (or @t91 (not (tptp.geq @t40 @t129)) @t136 @t83 @t46 (tptp.geq @t2 @t129)))) % 73.47/73.69 (assume @p146 (forall @t132 (or @t47 @t63 @t131 (= (tptp.app @t141 @t2) (tptp.app @t129 @t62))))) % 73.47/73.69 (assume @p147 (forall @t132 (or (not (= @t105 @t133)) @t63 @t47 @t131 @t142))) % 73.47/73.69 (assume @p148 (forall @t132 (or (not (= @t105 @t141)) @t47 @t63 @t131 @t143))) % 73.47/73.69 (assume @p149 (forall @t132 (or @t122 (not (tptp.segmentP @t40 @t129)) @t131 @t63 @t47 (tptp.segmentP @t2 @t129)))) % 73.47/73.69 (assume @p150 (forall @t132 (or @t123 (not (tptp.rearsegP @t40 @t129)) @t131 @t63 @t47 (tptp.rearsegP @t2 @t129)))) % 73.47/73.69 (assume @p151 (forall @t132 (or @t124 (not (tptp.frontsegP @t40 @t129)) @t131 @t63 @t47 (tptp.frontsegP @t2 @t129)))) % 73.47/73.69 (assume @p152 (forall @t132 (or @t86 @t140 @t136 @t83 @t46 @t139))) % 73.47/73.69 (assume @p153 (forall @t132 (or @t93 (not (tptp.leq @t40 @t129)) @t136 @t83 @t46 (tptp.leq @t2 @t129)))) % 73.47/73.69 (assume @p154 (forall @t132 (or @t46 @t63 @t131 (= (tptp.cons @t2 (tptp.app @t40 @t129)) (tptp.app @t64 @t129))))) % 73.47/73.69 (assume @p155 (forall @t132 (or (not (tptp.memberP @t105 @t129)) @t63 @t47 @t136 @t144 (tptp.memberP @t2 @t129)))) % 73.47/73.69 (assume @p156 (forall @t41 (or (not @t128) (not @t119) @t63 @t46 @t120 @t110))) % 73.47/73.69 (assume @p157 (forall @t41 (or (not @t127) (not @t116) @t63 @t46 @t117 @t110))) % 73.47/73.69 (assume @p158 (forall @t132 (or (not (tptp.memberP @t64 @t129)) @t63 @t46 @t136 @t144 (= @t129 @t2)))) % 73.47/73.69 (assume @p159 (forall @t4 (or @t47 @t51 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 73.47/73.69 (assume @p160 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 73.47/73.69 (assume @p161 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 73.47/73.69 (assume @p162 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 73.47/73.69 (assume @p163 (forall @t4 (or @t47 @t70 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 73.47/73.69 (assume @p164 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 73.47/73.69 (assume @p165 (forall @t41 (or @t122 @t63 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 73.47/73.69 (assume @p166 (forall @t41 (or @t137 @t83 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 73.47/73.69 (assume @p167 (forall @t149 (or @t148 @t136 @t46 @t146 @t63 @t143))) % 73.47/73.69 (assume @p168 (forall @t149 (or @t148 @t136 @t46 @t146 @t63 (= @t145 @t40)))) % 73.47/73.69 (assume @p169 (forall @t149 (or @t122 @t131 @t146 @t63 @t47 (tptp.segmentP (tptp.app (tptp.app @t145 @t2) @t129) @t40)))) % 73.47/73.69 (assume @p170 (forall @t149 (or (not (= (tptp.app @t105 @t129) @t145)) @t131 @t47 @t63 @t146 (tptp.segmentP @t145 @t40)))) % 73.47/73.69 (assume @p171 (forall @t149 (or @t150 @t146 @t63 @t136 @t46 (tptp.frontsegP @t40 @t145)))) % 73.47/73.69 (assume @p172 (forall @t149 (or (not (= @t151 @t145)) @t131 @t47 @t83 @t146 (tptp.memberP @t145 @t40)))) % 73.47/73.69 (assume @p173 (forall @t149 (or @t150 @t146 @t63 @t136 @t46 @t143))) % 73.47/73.69 (assume @p174 (forall @t41 (or (not (= @t56 @t126)) (not (= @t57 @t114)) @t47 @t63 @t110 @t97 @t55))) % 73.47/73.69 (assume @p175 (forall @t149 (or @t124 (not (= @t129 @t145)) @t63 @t47 @t152 @t136 (tptp.frontsegP @t135 (tptp.cons @t145 @t40))))) % 73.47/73.69 (assume @p176 (forall @t155 (or (not (= (tptp.app @t151 (tptp.cons @t40 @t145)) @t153)) @t146 @t131 @t47 @t83 (not (tptp.duplicatefreeP @t153)) @t154))) % 73.47/73.69 (assume @p177 (forall @t155 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t147)) @t153)) @t146 @t47 @t136 @t83 (not (tptp.equalelemsP @t153)) @t154 @t142))) % 73.47/73.69 (assume @p178 (forall @t160 (or @t159 @t154 @t131 @t47 @t152 @t83 (not (tptp.strictorderedP @t157)) @t158 @t156))) % 73.47/73.69 (assume @p179 (forall @t160 (or @t159 @t154 @t131 @t47 @t152 @t83 (not (tptp.totalorderedP @t157)) @t158 @t161))) % 73.47/73.69 (assume @p180 (forall @t160 (or @t159 @t154 @t131 @t47 @t152 @t83 (not (tptp.strictorderP @t157)) @t158 @t156 (tptp.lt @t145 @t40)))) % 73.47/73.69 (assume @p181 (forall @t160 (or @t159 @t154 @t131 @t47 @t152 @t83 (not (tptp.totalorderP @t157)) @t158 @t161 (tptp.leq @t145 @t40)))) % 73.47/73.69 (assume @p182 (forall @t160 (or @t93 @t125 (not (= (tptp.app (tptp.app @t129 (tptp.cons @t2 @t145)) (tptp.cons @t40 @t153)) @t157)) @t154 @t146 @t131 @t83 @t46 (not (tptp.cyclefreeP @t157)) @t158))) % 73.47/73.69 (assume @p183 (tptp.ssList tptp.sk1)) % 73.47/73.69 (assume @p184 @t162) % 73.47/73.69 (assume @p185 @t163) % 73.47/73.69 (assume @p186 (tptp.ssList tptp.sk4)) % 73.47/73.69 (assume @p187 (= tptp.sk2 tptp.sk4)) % 73.47/73.69 (assume @p188 (= tptp.sk1 tptp.sk3)) % 73.47/73.69 (assume @p189 @t165) % 73.47/73.69 (assume @p190 @t179) % 73.47/73.69 (assume @p191 @t182) % 73.47/73.69 (assume @p192 (forall @t178 (or @t176 @t175 @t174 @t173 (tptp.memberP @t168 @t169)))) % 73.47/73.69 (assume @p193 (forall @t178 (or @t176 @t175 @t174 @t173 (tptp.lt @t166 @t169)))) % 73.47/73.69 (assume @p194 (forall @t178 (or @t176 @t175 @t174 @t173 (not (tptp.leq @t166 @t169))))) % 73.47/73.69 (assume @p195 @t183) % 73.47/73.69 (assume @p196 (= @t184 tptp.sk4)) % 73.47/73.69 (assume @p197 (tptp.strictorderedP tptp.sk3)) % 73.47/73.69 (assume @p198 (forall (@list @t166 @t167 @t168 @t185) (or @t176 @t175 (not (= (tptp.app @t171 @t167) tptp.sk6)) (not (tptp.ssItem @t168)) (not (tptp.ssList @t185)) (not (= (tptp.app @t185 (tptp.cons @t168 tptp.nil)) tptp.sk3)) (not (tptp.lt @t168 @t166))))) % 73.47/73.69 (assume @p199 (or (= tptp.nil tptp.sk4) (not @t186))) % 73.47/73.69 (step @p200 :rule refl :args (@t180)) % 73.47/73.69 (step @p201 :rule refl :args (@t172)) % 73.47/73.69 (step @p202 :rule cong :premises (@p188 @p201) :args (@t187)) % 73.47/73.69 (step @p203 :rule cong :premises (@p202) :args (@t188)) % 73.47/73.69 (step @p204 :rule refl :args (@t174)) % 73.47/73.69 (step @p205 :rule refl :args (@t175)) % 73.47/73.69 (step @p206 :rule refl :args (@t176)) % 73.47/73.69 (step @p207 :rule nary_cong :premises (@p206 @p205 @p204 @p203 @p200) :args (@t189)) % 73.47/73.69 (step @p208 :rule cong :premises (@p207) :args ((forall @t178 @t189))) % 73.47/73.69 (step @p209 :rule eq-symm :args (@t172 tptp.sk1)) % 73.47/73.69 (step @p210 :rule cong :premises (@p209) :args (@t173)) % 73.47/73.69 (step @p211 :rule nary_cong :premises (@p206 @p205 @p204 @p210 @p200) :args (@t181)) % 73.47/73.69 (step @p212 :rule cong :premises (@p211) :args (@t182)) % 73.47/73.69 (step @p213 :rule trans :premises (@p212 @p208)) % 73.47/73.69 (step @p214 :rule eq_resolve :premises (@p191 @p213)) % 73.47/73.69 (step @p215 :rule instantiate :premises (@p214) :args (@t194)) % 73.47/73.69 (step @p216 :rule eq-symm :args (@t71 @t40)) % 73.47/73.69 (step @p217 :rule refl :args (@t63)) % 73.47/73.69 (step @p218 :rule refl :args (@t46)) % 73.47/73.69 (step @p219 :rule nary_cong :premises (@p218 @p217 @p216) :args (@t72)) % 73.47/73.69 (step @p220 :rule cong :premises (@p219) :args (@t73)) % 73.47/73.69 (step @p221 :rule eq_resolve :premises (@p94 @p220)) % 73.47/73.69 (step @p222 :rule instantiate :premises (@p221) :args (@t196)) % 73.47/73.69 (step @p223 :rule instantiate :premises (@p13) :args (@t197)) % 73.47/73.69 (step @p224 :rule instantiate :premises (@p12) :args (@t197)) % 73.47/73.69 (step @p225 :rule cnf_or_pos :args (@t204)) % 73.47/73.69 (step @p226 :rule reordering :premises (@p225) :args ((or @t203 @t201 @t199 (not @t204)))) % 73.47/73.69 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p223 @p222) :args (@t199 @t205 (@list @t202 @t200 @t204))) % 73.47/73.69 (step @p228 :rule symm :premises (@p227)) % 73.47/73.69 (step @p229 :rule refl :args (@t55)) % 73.47/73.69 (step @p230 :rule eq-symm :args (@t94 @t2)) % 73.47/73.69 (step @p231 :rule refl :args (@t47)) % 73.47/73.69 (step @p232 :rule nary_cong :premises (@p231 @p230 @p229) :args (@t95)) % 73.47/73.69 (step @p233 :rule cong :premises (@p232) :args (@t96)) % 73.47/73.69 (step @p234 :rule eq_resolve :premises (@p107 @p233)) % 73.47/73.69 (step @p235 :rule instantiate :premises (@p234) :args (@t197)) % 73.47/73.69 (step @p236 :rule refl :args (tptp.nil)) % 73.47/73.69 (step @p237 :rule cong :premises (@p236 @p188) :args (@t164)) % 73.47/73.69 (step @p238 :rule cong :premises (@p237) :args (@t165)) % 73.47/73.69 (step @p239 :rule eq_resolve :premises (@p189 @p238)) % 73.47/73.69 (step @p240 :rule cnf_or_pos :args (@t208)) % 73.47/73.69 (step @p241 :rule reordering :premises (@p240) :args ((or @t186 @t207 @t206 (not @t208)))) % 73.47/73.69 (step @p242 :rule chain_m_resolution :premises (@p241 @p239 @p185 @p235) :args (@t206 @t209 (@list @t186 @t163 @t208))) % 73.47/73.69 (step @p243 :rule cong :premises (@p242) :args (@t210)) % 73.47/73.69 (step @p244 :rule trans :premises (@p243 @p228)) % 73.47/73.69 (step @p245 :rule eq-symm :args (@t79 @t2)) % 73.47/73.69 (step @p246 :rule refl :args (@t80)) % 73.47/73.69 (step @p247 :rule nary_cong :premises (@p246 @p231 @p245) :args (@t81)) % 73.47/73.69 (step @p248 :rule cong :premises (@p247) :args (@t82)) % 73.47/73.69 (step @p249 :rule eq_resolve :premises (@p99 @p248)) % 73.47/73.70 (step @p250 :rule instantiate :premises (@p249) :args (@t211)) % 73.47/73.70 (step @p251 :rule aci_norm :args ((= (or false @t46 @t213 @t212) (or @t46 @t213 @t212)))) % 73.47/73.70 (step @p252 :rule refl :args (@t212)) % 73.47/73.70 (step @p253 :rule refl :args (@t213)) % 73.47/73.70 (step @p254 :rule evaluate :args ((not true))) % 73.47/73.70 (step @p255 :rule eq-refl :args (@t48)) % 73.47/73.70 (step @p256 :rule cong :premises (@p255) :args (@t214)) % 73.47/73.70 (step @p257 :rule trans :premises (@p256 @p254)) % 73.47/73.70 (step @p258 :rule nary_cong :premises (@p257 @p218 @p253 @p252) :args (@t215)) % 73.47/73.70 (step @p259 :rule trans :premises (@p258 @p251)) % 73.47/73.70 (step @p260 :rule cong :premises (@p259) :args ((forall @t4 @t215))) % 73.47/73.70 (step @p261 :rule quant-var-elim-eq :args ((= (forall @t218 @t217) @t215))) % 73.47/73.70 (step @p262 :rule aci_norm :args ((= @t219 @t217))) % 73.47/73.70 (step @p263 :rule cong :premises (@p262) :args (@t220)) % 73.47/73.70 (step @p264 :rule trans :premises (@p263 @p261)) % 73.47/73.70 (step @p265 :rule cong :premises (@p264) :args (@t221)) % 73.47/73.70 (step @p266 :rule quant-merge-prenex :args ((= @t221 (forall @t41 @t219)))) % 73.47/73.70 (step @p267 :rule symm :premises (@p266)) % 73.47/73.70 (step @p268 :rule trans :premises (@p267 @p265)) % 73.47/73.70 (step @p269 :rule trans :premises (@p268 @p260)) % 73.47/73.70 (step @p270 :rule refl :args (@t101)) % 73.47/73.70 (step @p271 :rule eq-symm :args (@t48 @t40)) % 73.47/73.70 (step @p272 :rule cong :premises (@p271) :args (@t102)) % 73.47/73.70 (step @p273 :rule nary_cong :premises (@p272 @p218 @p217 @p270) :args (@t103)) % 73.47/73.70 (step @p274 :rule cong :premises (@p273) :args (@t104)) % 73.47/73.70 (step @p275 :rule trans :premises (@p274 @p269)) % 73.47/73.70 (step @p276 :rule eq_resolve :premises (@p114 @p275)) % 73.47/73.70 (step @p277 :rule instantiate :premises (@p276) :args ((@list @t191))) % 73.47/73.70 (step @p278 :rule instantiate :premises (@p84) :args ((@list @t191 tptp.nil))) % 73.47/73.70 (step @p279 :rule instantiate :premises (@p76) :args ((@list @t184))) % 73.47/73.70 (step @p280 :rule symm :premises (@p196)) % 73.47/73.70 (step @p281 :rule trans :premises (@p187 @p280)) % 73.47/73.70 (step @p282 :rule cong :premises (@p281) :args (@t162)) % 73.47/73.70 (step @p283 :rule eq_resolve :premises (@p184 @p282)) % 73.47/73.70 (step @p284 :rule eq-symm :args (@t105 tptp.nil)) % 73.47/73.70 (step @p285 :rule cong :premises (@p284) :args (@t107)) % 73.47/73.70 (step @p286 :rule nary_cong :premises (@p285 @p217 @p231 @p229) :args (@t108)) % 73.47/73.70 (step @p287 :rule cong :premises (@p286) :args (@t109)) % 73.47/73.70 (step @p288 :rule eq_resolve :premises (@p116 @p287)) % 73.47/73.70 (step @p289 :rule instantiate :premises (@p288) :args ((@list tptp.sk3 tptp.sk6))) % 73.47/73.70 (step @p290 :rule cnf_or_pos :args (@t225)) % 73.47/73.70 (step @p291 :rule reordering :premises (@p290) :args ((or @t186 @t207 @t222 @t224 (not @t225)))) % 73.47/73.70 (step @p292 :rule chain_m_resolution :premises (@p291 @p239 @p185 @p195 @p289) :args (@t224 @t226 (@list @t186 @t163 @t183 @t225))) % 73.47/73.70 (step @p293 :rule cnf_or_pos :args (@t230)) % 73.47/73.70 (step @p294 :rule reordering :premises (@p293) :args ((or @t223 @t229 @t227 (not @t230)))) % 73.47/73.70 (step @p295 :rule chain_m_resolution :premises (@p294 @p292 @p283 @p279) :args (@t227 @t209 (@list @t223 @t228 @t230))) % 73.47/73.70 (step @p296 :rule cnf_or_pos :args (@t234)) % 73.47/73.70 (step @p297 :rule reordering :premises (@p296) :args ((or @t232 @t233 @t231 (not @t234)))) % 73.47/73.70 (step @p298 :rule chain_m_resolution :premises (@p297 @p8 @p295 @p278) :args (@t231 @t205 (@list @t1 @t227 @t234))) % 73.47/73.70 (step @p299 :rule cnf_or_pos :args (@t237)) % 73.47/73.70 (step @p300 :rule reordering :premises (@p299) :args ((or @t233 @t236 @t235 (not @t237)))) % 73.47/73.70 (step @p301 :rule chain_m_resolution :premises (@p300 @p295 @p298 @p277) :args (@t235 @t205 (@list @t227 @t231 @t237))) % 73.47/73.70 (step @p302 :rule cnf_or_pos :args (@t241)) % 73.47/73.70 (step @p303 :rule reordering :premises (@p302) :args ((or @t236 @t240 @t239 (not @t241)))) % 73.47/73.70 (step @p304 :rule chain_m_resolution :premises (@p303 @p298 @p301 @p250) :args (@t239 @t205 (@list @t231 @t235 @t241))) % 73.47/73.70 (step @p305 :rule cong :premises (@p236 @p304) :args (@t242)) % 73.47/73.70 (step @p306 :rule eq-symm :args (@t52 @t2)) % 73.47/73.70 (step @p307 :rule nary_cong :premises (@p231 @p306) :args (@t53)) % 73.47/73.70 (step @p308 :rule cong :premises (@p307) :args (@t54)) % 73.47/73.70 (step @p309 :rule eq_resolve :premises (@p74 @p308)) % 73.47/73.70 (step @p310 :rule instantiate :premises (@p309) :args (@t211)) % 73.47/73.70 (step @p311 :rule cnf_or_pos :args (@t244)) % 73.47/73.70 (step @p312 :rule reordering :premises (@p311) :args ((or @t236 @t243 (not @t244)))) % 73.47/73.70 (step @p313 :rule chain_m_resolution :premises (@p312 @p298 @p310) :args (@t243 @t245 (@list @t231 @t244))) % 73.47/73.70 (step @p314 :rule trans :premises (@p313 @p305)) % 73.47/73.70 (step @p315 :rule eq-symm :args (@t191 @t246)) % 73.47/73.70 (step @p316 :rule refl :args (@t186)) % 73.47/73.70 (step @p317 :rule refl :args (@t207)) % 73.47/73.70 (step @p318 :rule refl :args (@t222)) % 73.47/73.70 (step @p319 :rule nary_cong :premises (@p318 @p317 @p316 @p315) :args (@t247)) % 73.47/73.70 (step @p320 :rule refl :args (@t115)) % 73.47/73.70 (step @p321 :rule cong :premises (@p320 @p319) :args ((=> @t115 @t247))) % 73.47/73.70 (assume-push @p382 @t115) % 73.47/73.70 (step @p323 :rule instantiate :premises (@p120) :args ((@list tptp.sk6 tptp.sk3))) % 73.47/73.70 (step-pop @p383 :rule scope :premises (@p323)) % 73.47/73.70 (step @p324 :rule process_scope :premises (@p383) :args (@t247)) % 73.47/73.70 (step @p326 :rule eq_resolve :premises (@p324 @p321)) % 73.47/73.70 (step @p327 :rule implies_elim :premises (@p326)) % 73.47/73.70 (step @p328 :rule chain_m_resolution :premises (@p327 @p120) :args (@t249 (@list false) (@list @t115))) % 73.47/73.70 (step @p329 :rule cnf_or_pos :args (@t249)) % 73.47/73.70 (step @p330 :rule reordering :premises (@p329) :args ((or @t186 @t207 @t222 @t248 (not @t249)))) % 73.47/73.70 (step @p331 :rule chain_m_resolution :premises (@p330 @p239 @p185 @p195 @p328) :args (@t248 @t226 (@list @t186 @t163 @t183 @t249))) % 73.47/73.70 (step @p332 :rule cong :premises (@p331 @p236) :args (@t250)) % 73.47/73.70 (step @p333 :rule trans :premises (@p332 @p314)) % 73.47/73.70 (step @p334 :rule cong :premises (@p333 @p244) :args ((tptp.app @t250 @t210))) % 73.47/73.70 (step @p335 :rule symm :premises (@p244)) % 73.47/73.70 (step @p336 :rule symm :premises (@p242)) % 73.47/73.70 (step @p337 :rule cong :premises (@p336) :args (@t251)) % 73.47/73.70 (step @p338 :rule eq-symm :args (@t74 @t2)) % 73.47/73.70 (step @p339 :rule nary_cong :premises (@p218 @p217 @p338) :args (@t75)) % 73.47/73.70 (step @p340 :rule cong :premises (@p339) :args (@t76)) % 73.47/73.70 (step @p341 :rule eq_resolve :premises (@p95 @p340)) % 73.47/73.70 (step @p342 :rule instantiate :premises (@p341) :args (@t196)) % 73.47/73.70 (step @p343 :rule cnf_or_pos :args (@t253)) % 73.47/73.70 (step @p344 :rule reordering :premises (@p343) :args ((or @t203 @t201 @t252 (not @t253)))) % 73.47/73.70 (step @p345 :rule chain_m_resolution :premises (@p344 @p224 @p223 @p342) :args (@t252 @t205 (@list @t202 @t200 @t253))) % 73.47/73.70 (step @p346 :rule trans :premises (@p345 @p337)) % 73.47/73.70 (step @p347 :rule cong :premises (@p346 @p236) :args (@t254)) % 73.47/73.70 (step @p348 :rule cong :premises (@p347 @p335) :args (@t255)) % 73.47/73.70 (step @p349 :rule eq-symm :args (@t111 @t64)) % 73.47/73.70 (step @p350 :rule nary_cong :premises (@p218 @p217 @p349) :args (@t112)) % 73.47/73.70 (step @p351 :rule cong :premises (@p350) :args (@t113)) % 73.47/73.70 (step @p352 :rule eq_resolve :premises (@p118 @p351)) % 73.47/73.70 (step @p353 :rule instantiate :premises (@p352) :args (@t196)) % 73.47/73.70 (step @p354 :rule cnf_or_pos :args (@t257)) % 73.47/73.70 (step @p355 :rule reordering :premises (@p354) :args ((or @t203 @t201 @t256 (not @t257)))) % 73.47/73.70 (step @p356 :rule chain_m_resolution :premises (@p355 @p224 @p223 @p353) :args (@t256 @t205 (@list @t202 @t200 @t257))) % 73.47/73.70 (step @p357 :rule trans :premises (@p242 @p356 @p348 @p334)) % 73.47/73.70 (step @p358 :rule instantiate :premises (@p47) :args (@t211)) % 73.47/73.70 (step @p359 :rule cnf_or_pos :args (@t264)) % 73.47/73.70 (step @p360 :rule reordering :premises (@p359) :args ((or @t232 @t201 @t263 @t261 @t259 (not @t264)))) % 73.47/73.70 (step @p361 :rule chain_m_resolution :premises (@p360 @p8 @p223 @p358 @p357 @p215) :args (@t259 @t265 (@list @t1 @t200 @t262 @t260 @t264))) % 73.47/73.70 (step @p362 :rule refl :args (@t170)) % 73.47/73.70 (step @p363 :rule nary_cong :premises (@p206 @p205 @p204 @p203 @p362) :args (@t266)) % 73.47/73.70 (step @p364 :rule cong :premises (@p363) :args ((forall @t178 @t266))) % 73.47/73.70 (step @p365 :rule nary_cong :premises (@p206 @p205 @p204 @p210 @p362) :args (@t177)) % 73.47/73.70 (step @p366 :rule cong :premises (@p365) :args (@t179)) % 73.47/73.70 (step @p367 :rule trans :premises (@p366 @p364)) % 73.47/73.70 (step @p368 :rule eq_resolve :premises (@p190 @p367)) % 73.47/73.70 (step @p369 :rule instantiate :premises (@p368) :args (@t194)) % 73.47/73.70 (step @p370 :rule cnf_or_pos :args (@t268)) % 73.47/73.70 (step @p371 :rule reordering :premises (@p370) :args ((or @t232 @t201 @t263 @t261 @t267 (not @t268)))) % 73.47/73.70 (step @p372 :rule chain_m_resolution :premises (@p371 @p8 @p223 @p358 @p357 @p369) :args (@t267 @t265 (@list @t1 @t200 @t262 @t260 @t268))) % 73.47/73.70 (step @p373 :rule cnf_or_pos :args (@t271)) % 73.47/73.70 (step @p374 :rule reordering :premises (@p373) :args ((or @t269 @t270 @t272))) % 73.47/73.70 (step @p375 :rule chain_m_resolution :premises (@p374 @p372 @p361) :args (@t272 @t245 (@list @t267 @t259))) % 73.47/73.70 (assume-push @p384 @t49) % 73.47/73.70 (step @p377 :rule instantiate :premises (@p71) :args ((@list @t258))) % 73.47/73.70 (step-pop @p385 :rule scope :premises (@p377)) % 73.47/73.70 (step @p378 :rule process_scope :premises (@p385) :args (@t271)) % 73.47/73.70 (step @p380 :rule implies_elim :premises (@p378)) % 73.47/73.70 (step @p381 false :rule chain_m_resolution :premises (@p380 @p375 @p71) :args (false (@list true false) (@list @t271 @t49))) % 73.47/73.70 ) % 63.97/73.70 % SZS output end Proof % 63.97/73.70 % cvc5 exiting %------------------------------------------------------------------------------