%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC236-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:33 AM UTC 2026 % Result : Unsatisfiable 240.10s 240.35s % Output : Proof 240.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC236-1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:29:22 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.52/15.78 --- Run --no-e-matching --full-saturate-quant at 6... % 21.64/21.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.63/27.87 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.74/33.91 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.85/64.04 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.85/79.12 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.00/112.25 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.20/127.45 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.28/157.55 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.38/172.64 --- Run --relevant-triggers --full-saturate-quant at 30... % 202.38/202.69 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 217.72/217.90 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 232.71/232.96 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 240.10/240.35 % SZS status Unsatisfiable % 240.10/240.35 % SZS output start Proof % 240.10/240.36 ( % 240.10/240.36 (declare-sort $$unsorted 0) % 240.10/240.36 (declare-const tptp.sk6 $$unsorted) % 240.10/240.36 (declare-const tptp.sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.sk4 $$unsorted) % 240.10/240.36 (declare-const tptp.sk2 $$unsorted) % 240.10/240.36 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.nil $$unsorted) % 240.10/240.36 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.sk1 $$unsorted) % 240.10/240.36 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.skac2 $$unsorted) % 240.10/240.36 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.sk3 $$unsorted) % 240.10/240.36 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.ssList (-> $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skac3 $$unsorted) % 240.10/240.36 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.sk7 $$unsorted) % 240.10/240.36 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 240.10/240.36 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 240.10/240.36 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 240.10/240.36 (define @t1 () (tptp.ssList tptp.nil)) % 240.10/240.36 (define @t2 () (@var "U" $$unsorted)) % 240.10/240.36 (define @t3 () (tptp.skaf83 @t2)) % 240.10/240.36 (define @t4 () (@list @t2)) % 240.10/240.36 (define @t5 () (tptp.skaf82 @t2)) % 240.10/240.36 (define @t6 () (tptp.skaf81 @t2)) % 240.10/240.36 (define @t7 () (tptp.skaf80 @t2)) % 240.10/240.36 (define @t8 () (tptp.skaf79 @t2)) % 240.10/240.36 (define @t9 () (tptp.skaf78 @t2)) % 240.10/240.36 (define @t10 () (tptp.skaf77 @t2)) % 240.10/240.36 (define @t11 () (tptp.skaf76 @t2)) % 240.10/240.36 (define @t12 () (tptp.skaf75 @t2)) % 240.10/240.36 (define @t13 () (tptp.skaf74 @t2)) % 240.10/240.36 (define @t14 () (tptp.skaf73 @t2)) % 240.10/240.36 (define @t15 () (tptp.skaf72 @t2)) % 240.10/240.36 (define @t16 () (tptp.skaf71 @t2)) % 240.10/240.36 (define @t17 () (tptp.skaf70 @t2)) % 240.10/240.36 (define @t18 () (tptp.skaf69 @t2)) % 240.10/240.36 (define @t19 () (tptp.skaf68 @t2)) % 240.10/240.36 (define @t20 () (tptp.skaf67 @t2)) % 240.10/240.36 (define @t21 () (tptp.skaf66 @t2)) % 240.10/240.36 (define @t22 () (tptp.skaf65 @t2)) % 240.10/240.36 (define @t23 () (tptp.skaf64 @t2)) % 240.10/240.36 (define @t24 () (tptp.skaf63 @t2)) % 240.10/240.36 (define @t25 () (tptp.skaf62 @t2)) % 240.10/240.36 (define @t26 () (tptp.skaf61 @t2)) % 240.10/240.36 (define @t27 () (tptp.skaf60 @t2)) % 240.10/240.36 (define @t28 () (tptp.skaf59 @t2)) % 240.10/240.36 (define @t29 () (tptp.skaf58 @t2)) % 240.10/240.36 (define @t30 () (tptp.skaf57 @t2)) % 240.10/240.36 (define @t31 () (tptp.skaf56 @t2)) % 240.10/240.36 (define @t32 () (tptp.skaf55 @t2)) % 240.10/240.36 (define @t33 () (tptp.skaf54 @t2)) % 240.10/240.36 (define @t34 () (tptp.skaf53 @t2)) % 240.10/240.36 (define @t35 () (tptp.skaf52 @t2)) % 240.10/240.36 (define @t36 () (tptp.skaf51 @t2)) % 240.10/240.36 (define @t37 () (tptp.skaf50 @t2)) % 240.10/240.36 (define @t38 () (tptp.skaf49 @t2)) % 240.10/240.36 (define @t39 () (tptp.skaf44 @t2)) % 240.10/240.36 (define @t40 () (@var "V" $$unsorted)) % 240.10/240.36 (define @t41 () (@list @t2 @t40)) % 240.10/240.36 (define @t42 () (tptp.skaf47 @t2 @t40)) % 240.10/240.36 (define @t43 () (tptp.skaf46 @t2 @t40)) % 240.10/240.36 (define @t44 () (tptp.skaf45 @t2 @t40)) % 240.10/240.36 (define @t45 () (tptp.skaf42 @t2 @t40)) % 240.10/240.36 (define @t46 () (not (tptp.ssItem @t2))) % 240.10/240.36 (define @t47 () (not (tptp.ssList @t2))) % 240.10/240.36 (define @t48 () (tptp.cons @t2 tptp.nil)) % 240.10/240.36 (define @t49 () (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 240.10/240.36 (define @t50 () (tptp.ssItem @t40)) % 240.10/240.36 (define @t51 () (tptp.duplicatefreeP @t2)) % 240.10/240.36 (define @t52 () (tptp.app tptp.nil @t2)) % 240.10/240.36 (define @t53 () (or @t47 (= @t52 @t2))) % 240.10/240.36 (define @t54 () (forall @t4 @t53)) % 240.10/240.36 (define @t55 () (= tptp.nil @t2)) % 240.10/240.36 (define @t56 () (tptp.tl @t2)) % 240.10/240.36 (define @t57 () (tptp.hd @t2)) % 240.10/240.36 (define @t58 () (tptp.segmentP tptp.nil @t2)) % 240.10/240.36 (define @t59 () (not @t55)) % 240.10/240.36 (define @t60 () (tptp.rearsegP tptp.nil @t2)) % 240.10/240.36 (define @t61 () (tptp.frontsegP tptp.nil @t2)) % 240.10/240.36 (define @t62 () (tptp.app @t40 @t2)) % 240.10/240.36 (define @t63 () (not (tptp.ssList @t40))) % 240.10/240.36 (define @t64 () (tptp.cons @t2 @t40)) % 240.10/240.36 (define @t65 () (tptp.cyclefreeP @t2)) % 240.10/240.36 (define @t66 () (tptp.equalelemsP @t2)) % 240.10/240.36 (define @t67 () (tptp.strictorderedP @t2)) % 240.10/240.36 (define @t68 () (tptp.totalorderedP @t2)) % 240.10/240.36 (define @t69 () (tptp.strictorderP @t2)) % 240.10/240.36 (define @t70 () (tptp.totalorderP @t2)) % 240.10/240.36 (define @t71 () (tptp.tl @t64)) % 240.10/240.36 (define @t72 () (or @t46 @t63 (= @t71 @t40))) % 240.10/240.36 (define @t73 () (forall @t41 @t72)) % 240.10/240.36 (define @t74 () (tptp.hd @t64)) % 240.10/240.36 (define @t75 () (or @t46 @t63 (= @t74 @t2))) % 240.10/240.36 (define @t76 () (forall @t41 @t75)) % 240.10/240.36 (define @t77 () (= @t40 @t2)) % 240.10/240.36 (define @t78 () (tptp.neq @t40 @t2)) % 240.10/240.36 (define @t79 () (not @t50)) % 240.10/240.36 (define @t80 () (tptp.leq @t2 @t40)) % 240.10/240.36 (define @t81 () (tptp.lt @t2 @t40)) % 240.10/240.36 (define @t82 () (not @t81)) % 240.10/240.36 (define @t83 () (tptp.lt @t40 @t2)) % 240.10/240.36 (define @t84 () (not (tptp.gt @t2 @t40))) % 240.10/240.36 (define @t85 () (tptp.gt @t40 @t2)) % 240.10/240.36 (define @t86 () (tptp.leq @t40 @t2)) % 240.10/240.36 (define @t87 () (not (tptp.geq @t2 @t40))) % 240.10/240.36 (define @t88 () (tptp.geq @t40 @t2)) % 240.10/240.36 (define @t89 () (not @t80)) % 240.10/240.36 (define @t90 () (tptp.cons @t3 @t5)) % 240.10/240.36 (define @t91 () (or @t47 (= @t90 @t2) @t55)) % 240.10/240.36 (define @t92 () (forall @t4 @t91)) % 240.10/240.36 (define @t93 () (= @t2 @t40)) % 240.10/240.36 (define @t94 () (not @t93)) % 240.10/240.36 (define @t95 () (tptp.cons @t40 @t2)) % 240.10/240.36 (define @t96 () (not (tptp.neq @t2 @t40))) % 240.10/240.36 (define @t97 () (tptp.app @t2 @t40)) % 240.10/240.36 (define @t98 () (= @t97 tptp.nil)) % 240.10/240.36 (define @t99 () (not @t98)) % 240.10/240.36 (define @t100 () (= tptp.nil @t40)) % 240.10/240.36 (define @t101 () (tptp.app @t48 @t40)) % 240.10/240.36 (define @t102 () (or @t46 @t63 (= @t101 @t64))) % 240.10/240.36 (define @t103 () (forall @t41 @t102)) % 240.10/240.36 (define @t104 () (tptp.hd @t40)) % 240.10/240.36 (define @t105 () (tptp.strictorderedP @t40)) % 240.10/240.36 (define @t106 () (tptp.strictorderedP @t64)) % 240.10/240.36 (define @t107 () (not @t106)) % 240.10/240.36 (define @t108 () (tptp.totalorderedP @t40)) % 240.10/240.36 (define @t109 () (tptp.totalorderedP @t64)) % 240.10/240.36 (define @t110 () (not @t109)) % 240.10/240.36 (define @t111 () (not (tptp.segmentP @t2 @t40))) % 240.10/240.36 (define @t112 () (not (tptp.rearsegP @t2 @t40))) % 240.10/240.36 (define @t113 () (not (tptp.frontsegP @t2 @t40))) % 240.10/240.36 (define @t114 () (not @t86)) % 240.10/240.36 (define @t115 () (tptp.tl @t40)) % 240.10/240.36 (define @t116 () (tptp.lt @t2 @t104)) % 240.10/240.36 (define @t117 () (tptp.leq @t2 @t104)) % 240.10/240.36 (define @t118 () (@var "W" $$unsorted)) % 240.10/240.36 (define @t119 () (tptp.app @t118 @t2)) % 240.10/240.36 (define @t120 () (not (tptp.ssList @t118))) % 240.10/240.36 (define @t121 () (@list @t2 @t40 @t118)) % 240.10/240.36 (define @t122 () (tptp.app @t2 @t118)) % 240.10/240.36 (define @t123 () (tptp.cons @t40 @t118)) % 240.10/240.36 (define @t124 () (tptp.cons @t118 @t2)) % 240.10/240.36 (define @t125 () (not (tptp.ssItem @t118))) % 240.10/240.36 (define @t126 () (not (tptp.memberP @t2 @t40))) % 240.10/240.36 (define @t127 () (not (= @t97 @t118))) % 240.10/240.36 (define @t128 () (tptp.lt @t2 @t118)) % 240.10/240.36 (define @t129 () (not (tptp.lt @t40 @t118))) % 240.10/240.36 (define @t130 () (tptp.app @t118 @t40)) % 240.10/240.36 (define @t131 () (= @t40 @t118)) % 240.10/240.36 (define @t132 () (= @t2 @t118)) % 240.10/240.36 (define @t133 () (tptp.memberP @t40 @t118)) % 240.10/240.36 (define @t134 () (@var "X" $$unsorted)) % 240.10/240.36 (define @t135 () (not (tptp.ssList @t134))) % 240.10/240.36 (define @t136 () (tptp.cons @t118 @t134)) % 240.10/240.36 (define @t137 () (not (= @t64 @t136))) % 240.10/240.36 (define @t138 () (@list @t2 @t40 @t118 @t134)) % 240.10/240.36 (define @t139 () (not (tptp.frontsegP @t64 @t136))) % 240.10/240.36 (define @t140 () (tptp.app @t2 @t123)) % 240.10/240.36 (define @t141 () (not (tptp.ssItem @t134))) % 240.10/240.36 (define @t142 () (@var "Y" $$unsorted)) % 240.10/240.36 (define @t143 () (not (tptp.ssList @t142))) % 240.10/240.36 (define @t144 () (@list @t2 @t40 @t118 @t134 @t142)) % 240.10/240.36 (define @t145 () (tptp.lt @t40 @t134)) % 240.10/240.36 (define @t146 () (@var "Z" $$unsorted)) % 240.10/240.36 (define @t147 () (not (tptp.ssList @t146))) % 240.10/240.36 (define @t148 () (not (= (tptp.app @t140 (tptp.cons @t134 @t142)) @t146))) % 240.10/240.36 (define @t149 () (@list @t2 @t40 @t118 @t134 @t142 @t146)) % 240.10/240.36 (define @t150 () (tptp.leq @t40 @t134)) % 240.10/240.36 (define @t151 () (tptp.ssList tptp.sk3)) % 240.10/240.36 (define @t152 () (= tptp.nil tptp.sk1)) % 240.10/240.36 (define @t153 () (not @t152)) % 240.10/240.36 (define @t154 () (@var "A" $$unsorted)) % 240.10/240.36 (define @t155 () (@var "B" $$unsorted)) % 240.10/240.36 (define @t156 () (@var "C" $$unsorted)) % 240.10/240.36 (define @t157 () (tptp.sk5 @t156 @t155 @t154)) % 240.10/240.36 (define @t158 () (tptp.ssItem @t157)) % 240.10/240.36 (define @t159 () (tptp.cons @t154 tptp.nil)) % 240.10/240.36 (define @t160 () (tptp.app @t155 @t159)) % 240.10/240.36 (define @t161 () (tptp.app @t160 @t156)) % 240.10/240.36 (define @t162 () (not (= @t161 tptp.sk1))) % 240.10/240.36 (define @t163 () (not (tptp.ssList @t156))) % 240.10/240.36 (define @t164 () (not (tptp.ssList @t155))) % 240.10/240.36 (define @t165 () (not (tptp.ssItem @t154))) % 240.10/240.36 (define @t166 () (or @t165 @t164 @t163 @t162 @t158)) % 240.10/240.36 (define @t167 () (@list @t154 @t155 @t156)) % 240.10/240.36 (define @t168 () (forall @t167 @t166)) % 240.10/240.36 (define @t169 () (tptp.memberP @t155 @t157)) % 240.10/240.36 (define @t170 () (or @t165 @t164 @t163 @t162 @t169)) % 240.10/240.36 (define @t171 () (forall @t167 @t170)) % 240.10/240.36 (define @t172 () (@var "D" $$unsorted)) % 240.10/240.36 (define @t173 () (tptp.cons @t156 tptp.nil)) % 240.10/240.36 (define @t174 () (not (tptp.ssList @t172))) % 240.10/240.36 (define @t175 () (not (tptp.ssItem @t156))) % 240.10/240.36 (define @t176 () (@list @t154 @t155 @t156 @t172)) % 240.10/240.36 (define @t177 () (= tptp.nil tptp.sk3)) % 240.10/240.36 (define @t178 () (= tptp.sk1 @t161)) % 240.10/240.36 (define @t179 () (not @t178)) % 240.10/240.36 (define @t180 () (or @t165 @t164 @t163 @t179 @t169)) % 240.10/240.36 (define @t181 () (tptp.skaf82 tptp.sk3)) % 240.10/240.36 (define @t182 () (tptp.hd tptp.sk3)) % 240.10/240.36 (define @t183 () (@list @t182 tptp.nil @t181)) % 240.10/240.36 (define @t184 () (tptp.skaf83 tptp.sk3)) % 240.10/240.36 (define @t185 () (@list @t184 @t181)) % 240.10/240.36 (define @t186 () (@list tptp.sk3)) % 240.10/240.36 (define @t187 () (tptp.cons @t184 @t181)) % 240.10/240.36 (define @t188 () (= @t181 (tptp.tl @t187))) % 240.10/240.36 (define @t189 () (tptp.ssList @t181)) % 240.10/240.36 (define @t190 () (not @t189)) % 240.10/240.36 (define @t191 () (tptp.ssItem @t184)) % 240.10/240.36 (define @t192 () (not @t191)) % 240.10/240.36 (define @t193 () (or @t192 @t190 @t188)) % 240.10/240.36 (define @t194 () (@list false false false)) % 240.10/240.36 (define @t195 () (= tptp.sk3 @t187)) % 240.10/240.36 (define @t196 () (not @t151)) % 240.10/240.36 (define @t197 () (or @t196 @t195 @t177)) % 240.10/240.36 (define @t198 () (@list true false false)) % 240.10/240.36 (define @t199 () (tptp.tl tptp.sk3)) % 240.10/240.36 (define @t200 () (tptp.cons @t182 tptp.nil)) % 240.10/240.36 (define @t201 () (tptp.ssItem @t182)) % 240.10/240.36 (define @t202 () (or @t196 @t201 @t177)) % 240.10/240.36 (define @t203 () (tptp.ssList @t200)) % 240.10/240.36 (define @t204 () (not @t1)) % 240.10/240.36 (define @t205 () (not @t201)) % 240.10/240.36 (define @t206 () (or @t205 @t204 @t203)) % 240.10/240.36 (define @t207 () (tptp.app tptp.nil @t200)) % 240.10/240.36 (define @t208 () (= @t200 @t207)) % 240.10/240.36 (define @t209 () (not @t203)) % 240.10/240.36 (define @t210 () (or @t209 @t208)) % 240.10/240.36 (define @t211 () (@list false false)) % 240.10/240.36 (define @t212 () (tptp.hd @t187)) % 240.10/240.36 (define @t213 () (= @t184 @t212)) % 240.10/240.36 (define @t214 () (or @t192 @t190 @t213)) % 240.10/240.36 (define @t215 () (tptp.cons @t184 tptp.nil)) % 240.10/240.36 (define @t216 () (tptp.app @t215 @t181)) % 240.10/240.36 (define @t217 () (= @t187 @t216)) % 240.10/240.36 (define @t218 () (or @t192 @t190 @t217)) % 240.10/240.36 (define @t219 () (tptp.sk5 @t181 tptp.nil @t182)) % 240.10/240.36 (define @t220 () (tptp.memberP tptp.nil @t219)) % 240.10/240.36 (define @t221 () (= tptp.sk3 (tptp.app @t207 @t181))) % 240.10/240.36 (define @t222 () (not @t221)) % 240.10/240.36 (define @t223 () (or @t205 @t204 @t190 @t222 @t220)) % 240.10/240.36 (define @t224 () (@list false false false false false)) % 240.10/240.36 (define @t225 () (or @t165 @t164 @t163 @t179 @t158)) % 240.10/240.36 (define @t226 () (tptp.ssItem @t219)) % 240.10/240.36 (define @t227 () (or @t205 @t204 @t190 @t222 @t226)) % 240.10/240.36 (define @t228 () (not @t226)) % 240.10/240.36 (define @t229 () (not @t220)) % 240.10/240.36 (define @t230 () (or @t229 @t228)) % 240.10/240.36 (define @t231 () (not @t230)) % 240.10/240.36 (assume @p1 (tptp.equalelemsP tptp.nil)) % 240.10/240.36 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 240.10/240.36 (assume @p3 (tptp.strictorderedP tptp.nil)) % 240.10/240.36 (assume @p4 (tptp.totalorderedP tptp.nil)) % 240.10/240.36 (assume @p5 (tptp.strictorderP tptp.nil)) % 240.10/240.36 (assume @p6 (tptp.totalorderP tptp.nil)) % 240.10/240.36 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 240.10/240.36 (assume @p8 @t1) % 240.10/240.36 (assume @p9 (tptp.ssItem tptp.skac3)) % 240.10/240.36 (assume @p10 (tptp.ssItem tptp.skac2)) % 240.10/240.36 (assume @p11 (not (tptp.singletonP tptp.nil))) % 240.10/240.36 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 240.10/240.36 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 240.10/240.36 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 240.10/240.36 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 240.10/240.36 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 240.10/240.36 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 240.10/240.36 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 240.10/240.36 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 240.10/240.36 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 240.10/240.36 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 240.10/240.36 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 240.10/240.36 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 240.10/240.36 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 240.10/240.36 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 240.10/240.36 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 240.10/240.36 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 240.10/240.36 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 240.10/240.36 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 240.10/240.36 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 240.10/240.36 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 240.10/240.36 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 240.10/240.36 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 240.10/240.36 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 240.10/240.36 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 240.10/240.36 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 240.10/240.36 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 240.10/240.36 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 240.10/240.36 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 240.10/240.36 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 240.10/240.36 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 240.10/240.36 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 240.10/240.36 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 240.10/240.36 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 240.10/240.36 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 240.10/240.36 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 240.10/240.36 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 240.10/240.36 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 240.10/240.36 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 240.10/240.36 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 240.10/240.36 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 240.10/240.36 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 240.10/240.36 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 240.10/240.36 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 240.10/240.36 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 240.10/240.36 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 240.10/240.36 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 240.10/240.36 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 240.10/240.36 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 240.10/240.36 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 240.10/240.36 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 240.10/240.36 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 240.10/240.36 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 240.10/240.36 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 240.10/240.36 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 240.10/240.36 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 240.10/240.36 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 240.10/240.36 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 240.10/240.36 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 240.10/240.36 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 240.10/240.36 (assume @p71 @t49) % 240.10/240.36 (assume @p72 (forall @t41 (or @t47 @t51 @t50))) % 240.10/240.36 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 240.10/240.36 (assume @p74 @t54) % 240.10/240.36 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t56) @t55))) % 240.10/240.36 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t57) @t55))) % 240.10/240.36 (assume @p77 (forall @t4 (or @t59 @t47 @t58))) % 240.10/240.36 (assume @p78 (forall @t4 (or (not @t58) @t47 @t55))) % 240.10/240.36 (assume @p79 (forall @t4 (or @t59 @t47 @t60))) % 240.10/240.36 (assume @p80 (forall @t4 (or (not @t60) @t47 @t55))) % 240.10/240.36 (assume @p81 (forall @t4 (or @t59 @t47 @t61))) % 240.10/240.36 (assume @p82 (forall @t4 (or (not @t61) @t47 @t55))) % 240.10/240.36 (assume @p83 (forall @t41 (or @t47 @t63 (tptp.ssList @t62)))) % 240.10/240.36 (assume @p84 (forall @t41 (or @t46 @t63 (tptp.ssList @t64)))) % 240.10/240.36 (assume @p85 (forall @t4 (or @t47 @t65 (tptp.leq @t37 @t38)))) % 240.10/240.36 (assume @p86 (forall @t4 (or @t47 @t65 (tptp.leq @t38 @t37)))) % 240.10/240.36 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t66))) % 240.10/240.36 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t67))) % 240.10/240.36 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t68))) % 240.10/240.36 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t69))) % 240.10/240.36 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t69))) % 240.10/240.36 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t70))) % 240.10/240.36 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t70))) % 240.10/240.36 (assume @p94 @t73) % 240.10/240.36 (assume @p95 @t76) % 240.10/240.36 (assume @p96 (forall @t41 (or (not (= @t64 tptp.nil)) @t46 @t63))) % 240.10/240.36 (assume @p97 (forall @t41 (or (not (= @t64 @t40)) @t46 @t63))) % 240.10/240.36 (assume @p98 (forall @t41 (or @t47 @t63 @t78 @t77))) % 240.10/240.36 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 240.10/240.36 (assume @p100 (forall @t41 (or @t46 @t79 @t78 @t77))) % 240.10/240.36 (assume @p101 (forall @t41 (or @t82 @t79 @t46 @t80))) % 240.10/240.36 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t57 @t56) @t2) @t55))) % 240.10/240.36 (assume @p103 (forall @t41 (or @t84 @t79 @t46 @t83))) % 240.10/240.36 (assume @p104 (forall @t41 (or @t82 @t46 @t79 @t85))) % 240.10/240.36 (assume @p105 (forall @t41 (or @t87 @t79 @t46 @t86))) % 240.10/240.36 (assume @p106 (forall @t41 (or @t89 @t46 @t79 @t88))) % 240.10/240.36 (assume @p107 @t92) % 240.10/240.36 (assume @p108 (forall @t41 (or @t84 (not @t85) @t46 @t79))) % 240.10/240.36 (assume @p109 (forall @t41 (or @t94 @t82 @t79 @t46))) % 240.10/240.36 (assume @p110 (forall @t41 (or @t59 @t47 @t79 (tptp.strictorderedP @t95)))) % 240.10/240.36 (assume @p111 (forall @t41 (or @t59 @t47 @t79 (tptp.totalorderedP @t95)))) % 240.10/240.36 (assume @p112 (forall @t41 (or @t82 (not @t83) @t46 @t79))) % 240.10/240.36 (assume @p113 (forall @t41 (or @t94 @t96 @t63 @t47))) % 240.10/240.36 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t63 (tptp.singletonP @t40)))) % 240.10/240.36 (assume @p115 (forall @t41 (or @t94 @t96 @t79 @t46))) % 240.10/240.36 (assume @p116 (forall @t41 (or @t99 @t63 @t47 @t55))) % 240.10/240.36 (assume @p117 (forall @t41 (or @t99 @t63 @t47 @t100))) % 240.10/240.36 (assume @p118 @t103) % 240.10/240.36 (assume @p119 (forall @t41 (or @t89 @t79 @t46 @t81 @t93))) % 240.10/240.36 (assume @p120 (forall @t41 (or @t47 @t63 @t100 (= (tptp.hd @t62) @t104)))) % 240.10/240.36 (assume @p121 (forall @t41 (or @t107 @t63 @t46 @t105 @t100))) % 240.10/240.36 (assume @p122 (forall @t41 (or @t110 @t63 @t46 @t108 @t100))) % 240.10/240.36 (assume @p123 (forall @t41 (or @t87 (not @t88) @t46 @t79 @t77))) % 240.10/240.36 (assume @p124 (forall @t41 (or @t111 (not (tptp.segmentP @t40 @t2)) @t47 @t63 @t77))) % 240.10/240.36 (assume @p125 (forall @t41 (or @t112 (not (tptp.rearsegP @t40 @t2)) @t47 @t63 @t77))) % 240.10/240.36 (assume @p126 (forall @t41 (or @t113 (not (tptp.frontsegP @t40 @t2)) @t47 @t63 @t77))) % 240.10/240.36 (assume @p127 (forall @t41 (or @t89 @t114 @t46 @t79 @t77))) % 240.10/240.36 (assume @p128 (forall @t41 (or @t112 @t63 @t47 (= (tptp.app @t43 @t40) @t2)))) % 240.10/240.36 (assume @p129 (forall @t41 (or @t113 @t63 @t47 (= (tptp.app @t40 @t44) @t2)))) % 240.10/240.36 (assume @p130 (forall @t41 (or @t47 @t63 @t100 (= (tptp.tl @t62) (tptp.app @t115 @t2))))) % 240.10/240.36 (assume @p131 (forall @t41 (or @t107 @t63 @t46 @t116 @t100))) % 240.10/240.36 (assume @p132 (forall @t41 (or @t110 @t63 @t46 @t117 @t100))) % 240.10/240.36 (assume @p133 (forall @t121 (or @t112 @t120 @t63 @t47 (tptp.rearsegP @t119 @t40)))) % 240.10/240.36 (assume @p134 (forall @t121 (or @t113 @t120 @t63 @t47 (tptp.frontsegP @t122 @t40)))) % 240.10/240.36 (assume @p135 (forall @t121 (or @t94 @t120 @t79 @t46 (tptp.memberP @t123 @t2)))) % 240.10/240.36 (assume @p136 (forall @t121 (or @t126 @t47 @t125 @t79 (tptp.memberP @t124 @t40)))) % 240.10/240.36 (assume @p137 (forall @t121 (or @t126 @t120 @t47 @t79 (tptp.memberP @t122 @t40)))) % 240.10/240.36 (assume @p138 (forall @t121 (or @t126 @t47 @t120 @t79 (tptp.memberP @t119 @t40)))) % 240.10/240.36 (assume @p139 (forall @t4 (or @t47 @t66 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 240.10/240.36 (assume @p140 (forall @t121 (or @t127 @t47 @t63 @t120 (tptp.rearsegP @t118 @t40)))) % 240.10/240.36 (assume @p141 (forall @t121 (or @t127 @t63 @t47 @t120 (tptp.frontsegP @t118 @t2)))) % 240.10/240.36 (assume @p142 (forall @t41 (or @t59 (not @t100) @t63 @t47 @t98))) % 240.10/240.36 (assume @p143 (forall @t121 (or @t84 (not (tptp.gt @t40 @t118)) @t125 @t79 @t46 (tptp.gt @t2 @t118)))) % 240.10/240.36 (assume @p144 (forall @t121 (or @t89 @t129 @t125 @t79 @t46 @t128))) % 240.10/240.36 (assume @p145 (forall @t121 (or @t87 (not (tptp.geq @t40 @t118)) @t125 @t79 @t46 (tptp.geq @t2 @t118)))) % 240.10/240.36 (assume @p146 (forall @t121 (or @t47 @t63 @t120 (= (tptp.app @t130 @t2) (tptp.app @t118 @t62))))) % 240.10/240.37 (assume @p147 (forall @t121 (or (not (= @t97 @t122)) @t63 @t47 @t120 @t131))) % 240.10/240.37 (assume @p148 (forall @t121 (or (not (= @t97 @t130)) @t47 @t63 @t120 @t132))) % 240.10/240.37 (assume @p149 (forall @t121 (or @t111 (not (tptp.segmentP @t40 @t118)) @t120 @t63 @t47 (tptp.segmentP @t2 @t118)))) % 240.10/240.37 (assume @p150 (forall @t121 (or @t112 (not (tptp.rearsegP @t40 @t118)) @t120 @t63 @t47 (tptp.rearsegP @t2 @t118)))) % 240.10/240.37 (assume @p151 (forall @t121 (or @t113 (not (tptp.frontsegP @t40 @t118)) @t120 @t63 @t47 (tptp.frontsegP @t2 @t118)))) % 240.10/240.37 (assume @p152 (forall @t121 (or @t82 @t129 @t125 @t79 @t46 @t128))) % 240.10/240.37 (assume @p153 (forall @t121 (or @t89 (not (tptp.leq @t40 @t118)) @t125 @t79 @t46 (tptp.leq @t2 @t118)))) % 240.10/240.37 (assume @p154 (forall @t121 (or @t46 @t63 @t120 (= (tptp.cons @t2 (tptp.app @t40 @t118)) (tptp.app @t64 @t118))))) % 240.10/240.37 (assume @p155 (forall @t121 (or (not (tptp.memberP @t97 @t118)) @t63 @t47 @t125 @t133 (tptp.memberP @t2 @t118)))) % 240.10/240.37 (assume @p156 (forall @t41 (or (not @t117) (not @t108) @t63 @t46 @t109 @t100))) % 240.10/240.37 (assume @p157 (forall @t41 (or (not @t116) (not @t105) @t63 @t46 @t106 @t100))) % 240.10/240.37 (assume @p158 (forall @t121 (or (not (tptp.memberP @t64 @t118)) @t63 @t46 @t125 @t133 (= @t118 @t2)))) % 240.10/240.37 (assume @p159 (forall @t4 (or @t47 @t51 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 240.10/240.37 (assume @p160 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 240.10/240.37 (assume @p161 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 240.10/240.37 (assume @p162 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 240.10/240.37 (assume @p163 (forall @t4 (or @t47 @t70 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 240.10/240.37 (assume @p164 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 240.10/240.37 (assume @p165 (forall @t41 (or @t111 @t63 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 240.10/240.37 (assume @p166 (forall @t41 (or @t126 @t79 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 240.10/240.37 (assume @p167 (forall @t138 (or @t137 @t125 @t46 @t135 @t63 @t132))) % 240.10/240.37 (assume @p168 (forall @t138 (or @t137 @t125 @t46 @t135 @t63 (= @t134 @t40)))) % 240.10/240.37 (assume @p169 (forall @t138 (or @t111 @t120 @t135 @t63 @t47 (tptp.segmentP (tptp.app (tptp.app @t134 @t2) @t118) @t40)))) % 240.10/240.37 (assume @p170 (forall @t138 (or (not (= (tptp.app @t97 @t118) @t134)) @t120 @t47 @t63 @t135 (tptp.segmentP @t134 @t40)))) % 240.10/240.37 (assume @p171 (forall @t138 (or @t139 @t135 @t63 @t125 @t46 (tptp.frontsegP @t40 @t134)))) % 240.10/240.37 (assume @p172 (forall @t138 (or (not (= @t140 @t134)) @t120 @t47 @t79 @t135 (tptp.memberP @t134 @t40)))) % 240.10/240.37 (assume @p173 (forall @t138 (or @t139 @t135 @t63 @t125 @t46 @t132))) % 240.10/240.37 (assume @p174 (forall @t41 (or (not (= @t56 @t115)) (not (= @t57 @t104)) @t47 @t63 @t100 @t93 @t55))) % 240.10/240.37 (assume @p175 (forall @t138 (or @t113 (not (= @t118 @t134)) @t63 @t47 @t141 @t125 (tptp.frontsegP @t124 (tptp.cons @t134 @t40))))) % 240.10/240.37 (assume @p176 (forall @t144 (or (not (= (tptp.app @t140 (tptp.cons @t40 @t134)) @t142)) @t135 @t120 @t47 @t79 (not (tptp.duplicatefreeP @t142)) @t143))) % 240.10/240.37 (assume @p177 (forall @t144 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t136)) @t142)) @t135 @t47 @t125 @t79 (not (tptp.equalelemsP @t142)) @t143 @t131))) % 240.10/240.37 (assume @p178 (forall @t149 (or @t148 @t143 @t120 @t47 @t141 @t79 (not (tptp.strictorderedP @t146)) @t147 @t145))) % 240.10/240.37 (assume @p179 (forall @t149 (or @t148 @t143 @t120 @t47 @t141 @t79 (not (tptp.totalorderedP @t146)) @t147 @t150))) % 240.10/240.37 (assume @p180 (forall @t149 (or @t148 @t143 @t120 @t47 @t141 @t79 (not (tptp.strictorderP @t146)) @t147 @t145 (tptp.lt @t134 @t40)))) % 240.10/240.37 (assume @p181 (forall @t149 (or @t148 @t143 @t120 @t47 @t141 @t79 (not (tptp.totalorderP @t146)) @t147 @t150 (tptp.leq @t134 @t40)))) % 240.10/240.37 (assume @p182 (forall @t149 (or @t89 @t114 (not (= (tptp.app (tptp.app @t118 (tptp.cons @t2 @t134)) (tptp.cons @t40 @t142)) @t146)) @t143 @t135 @t120 @t79 @t46 (not (tptp.cyclefreeP @t146)) @t147))) % 240.10/240.37 (assume @p183 (tptp.ssList tptp.sk1)) % 240.10/240.37 (assume @p184 (tptp.ssList tptp.sk2)) % 240.10/240.37 (assume @p185 @t151) % 240.10/240.37 (assume @p186 (tptp.ssList tptp.sk4)) % 240.10/240.37 (assume @p187 (= tptp.sk2 tptp.sk4)) % 240.10/240.37 (assume @p188 (= tptp.sk1 tptp.sk3)) % 240.10/240.37 (assume @p189 @t153) % 240.10/240.37 (assume @p190 @t168) % 240.10/240.37 (assume @p191 @t171) % 240.10/240.37 (assume @p192 (forall @t167 (or @t165 @t164 @t163 @t162 (tptp.memberP @t156 @t157)))) % 240.10/240.37 (assume @p193 (forall @t167 (or @t165 @t164 @t163 @t162 (tptp.leq @t154 @t157)))) % 240.10/240.37 (assume @p194 (forall @t167 (or @t165 @t164 @t163 @t162 (not (tptp.lt @t154 @t157))))) % 240.10/240.37 (assume @p195 (tptp.ssList tptp.sk6)) % 240.10/240.37 (assume @p196 (tptp.ssList tptp.sk7)) % 240.10/240.37 (assume @p197 (= (tptp.app (tptp.app tptp.sk6 tptp.sk3) tptp.sk7) tptp.sk4)) % 240.10/240.37 (assume @p198 (tptp.totalorderedP tptp.sk3)) % 240.10/240.37 (assume @p199 (forall @t176 (or @t165 @t164 (not (= @t160 tptp.sk6)) @t175 @t174 (not (= (tptp.app @t173 @t172) tptp.sk3)) (not (tptp.leq @t154 @t156))))) % 240.10/240.37 (assume @p200 (forall @t176 (or @t165 @t164 (not (= (tptp.app @t159 @t155) tptp.sk7)) @t175 @t174 (not (= (tptp.app @t172 @t173) tptp.sk3)) (not (tptp.leq @t156 @t154))))) % 240.10/240.37 (assume @p201 (or (= tptp.nil tptp.sk4) (not @t177))) % 240.10/240.37 (step @p202 :rule refl :args (@t169)) % 240.10/240.37 (step @p203 :rule refl :args (@t161)) % 240.10/240.37 (step @p204 :rule cong :premises (@p188 @p203) :args (@t178)) % 240.10/240.37 (step @p205 :rule cong :premises (@p204) :args (@t179)) % 240.10/240.37 (step @p206 :rule refl :args (@t163)) % 240.10/240.37 (step @p207 :rule refl :args (@t164)) % 240.10/240.37 (step @p208 :rule refl :args (@t165)) % 240.10/240.37 (step @p209 :rule nary_cong :premises (@p208 @p207 @p206 @p205 @p202) :args (@t180)) % 240.10/240.37 (step @p210 :rule cong :premises (@p209) :args ((forall @t167 @t180))) % 240.10/240.37 (step @p211 :rule eq-symm :args (@t161 tptp.sk1)) % 240.10/240.37 (step @p212 :rule cong :premises (@p211) :args (@t162)) % 240.10/240.37 (step @p213 :rule nary_cong :premises (@p208 @p207 @p206 @p212 @p202) :args (@t170)) % 240.10/240.37 (step @p214 :rule cong :premises (@p213) :args (@t171)) % 240.10/240.37 (step @p215 :rule trans :premises (@p214 @p210)) % 240.10/240.37 (step @p216 :rule eq_resolve :premises (@p191 @p215)) % 240.10/240.37 (step @p217 :rule instantiate :premises (@p216) :args (@t183)) % 240.10/240.37 (step @p218 :rule eq-symm :args (@t71 @t40)) % 240.10/240.37 (step @p219 :rule refl :args (@t63)) % 240.10/240.37 (step @p220 :rule refl :args (@t46)) % 240.10/240.37 (step @p221 :rule nary_cong :premises (@p220 @p219 @p218) :args (@t72)) % 240.10/240.37 (step @p222 :rule cong :premises (@p221) :args (@t73)) % 240.10/240.37 (step @p223 :rule eq_resolve :premises (@p94 @p222)) % 240.10/240.37 (step @p224 :rule instantiate :premises (@p223) :args (@t185)) % 240.10/240.37 (step @p225 :rule instantiate :premises (@p13) :args (@t186)) % 240.10/240.37 (step @p226 :rule instantiate :premises (@p12) :args (@t186)) % 240.10/240.37 (step @p227 :rule cnf_or_pos :args (@t193)) % 240.10/240.37 (step @p228 :rule reordering :premises (@p227) :args ((or @t192 @t190 @t188 (not @t193)))) % 240.10/240.37 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p225 @p224) :args (@t188 @t194 (@list @t191 @t189 @t193))) % 240.10/240.37 (step @p230 :rule symm :premises (@p229)) % 240.10/240.37 (step @p231 :rule refl :args (@t55)) % 240.10/240.37 (step @p232 :rule eq-symm :args (@t90 @t2)) % 240.10/240.37 (step @p233 :rule refl :args (@t47)) % 240.10/240.37 (step @p234 :rule nary_cong :premises (@p233 @p232 @p231) :args (@t91)) % 240.10/240.37 (step @p235 :rule cong :premises (@p234) :args (@t92)) % 240.10/240.37 (step @p236 :rule eq_resolve :premises (@p107 @p235)) % 240.10/240.37 (step @p237 :rule instantiate :premises (@p236) :args (@t186)) % 240.10/240.37 (step @p238 :rule refl :args (tptp.nil)) % 240.10/240.37 (step @p239 :rule cong :premises (@p238 @p188) :args (@t152)) % 240.10/240.37 (step @p240 :rule cong :premises (@p239) :args (@t153)) % 240.10/240.37 (step @p241 :rule eq_resolve :premises (@p189 @p240)) % 240.10/240.37 (step @p242 :rule cnf_or_pos :args (@t197)) % 240.10/240.37 (step @p243 :rule reordering :premises (@p242) :args ((or @t177 @t196 @t195 (not @t197)))) % 240.10/240.37 (step @p244 :rule chain_m_resolution :premises (@p243 @p241 @p185 @p237) :args (@t195 @t198 (@list @t177 @t151 @t197))) % 240.10/240.37 (step @p245 :rule cong :premises (@p244) :args (@t199)) % 240.10/240.37 (step @p246 :rule trans :premises (@p245 @p230)) % 240.10/240.37 (step @p247 :rule eq-symm :args (@t52 @t2)) % 240.10/240.37 (step @p248 :rule nary_cong :premises (@p233 @p247) :args (@t53)) % 240.10/240.37 (step @p249 :rule cong :premises (@p248) :args (@t54)) % 240.10/240.37 (step @p250 :rule eq_resolve :premises (@p74 @p249)) % 240.10/240.37 (step @p251 :rule instantiate :premises (@p250) :args ((@list @t200))) % 240.10/240.37 (step @p252 :rule instantiate :premises (@p84) :args ((@list @t182 tptp.nil))) % 240.10/240.37 (step @p253 :rule instantiate :premises (@p76) :args (@t186)) % 240.10/240.37 (step @p254 :rule cnf_or_pos :args (@t202)) % 240.10/240.37 (step @p255 :rule reordering :premises (@p254) :args ((or @t177 @t196 @t201 (not @t202)))) % 240.10/240.37 (step @p256 :rule chain_m_resolution :premises (@p255 @p241 @p185 @p253) :args (@t201 @t198 (@list @t177 @t151 @t202))) % 240.10/240.37 (step @p257 :rule cnf_or_pos :args (@t206)) % 240.10/240.37 (step @p258 :rule reordering :premises (@p257) :args ((or @t204 @t205 @t203 (not @t206)))) % 240.10/240.37 (step @p259 :rule chain_m_resolution :premises (@p258 @p8 @p256 @p252) :args (@t203 @t194 (@list @t1 @t201 @t206))) % 240.10/240.37 (step @p260 :rule cnf_or_pos :args (@t210)) % 240.10/240.37 (step @p261 :rule reordering :premises (@p260) :args ((or @t209 @t208 (not @t210)))) % 240.10/240.37 (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p251) :args (@t208 @t211 (@list @t203 @t210))) % 240.10/240.37 (step @p263 :rule cong :premises (@p262 @p246) :args ((tptp.app @t200 @t199))) % 240.10/240.37 (step @p264 :rule symm :premises (@p246)) % 240.10/240.37 (step @p265 :rule symm :premises (@p244)) % 240.10/240.37 (step @p266 :rule cong :premises (@p265) :args (@t212)) % 240.10/240.37 (step @p267 :rule eq-symm :args (@t74 @t2)) % 240.10/240.37 (step @p268 :rule nary_cong :premises (@p220 @p219 @p267) :args (@t75)) % 240.10/240.37 (step @p269 :rule cong :premises (@p268) :args (@t76)) % 240.10/240.37 (step @p270 :rule eq_resolve :premises (@p95 @p269)) % 240.10/240.37 (step @p271 :rule instantiate :premises (@p270) :args (@t185)) % 240.10/240.37 (step @p272 :rule cnf_or_pos :args (@t214)) % 240.10/240.37 (step @p273 :rule reordering :premises (@p272) :args ((or @t192 @t190 @t213 (not @t214)))) % 240.10/240.37 (step @p274 :rule chain_m_resolution :premises (@p273 @p226 @p225 @p271) :args (@t213 @t194 (@list @t191 @t189 @t214))) % 240.10/240.37 (step @p275 :rule trans :premises (@p274 @p266)) % 240.10/240.37 (step @p276 :rule cong :premises (@p275 @p238) :args (@t215)) % 240.10/240.37 (step @p277 :rule cong :premises (@p276 @p264) :args (@t216)) % 240.10/240.37 (step @p278 :rule eq-symm :args (@t101 @t64)) % 240.10/240.37 (step @p279 :rule nary_cong :premises (@p220 @p219 @p278) :args (@t102)) % 240.10/240.37 (step @p280 :rule cong :premises (@p279) :args (@t103)) % 240.10/240.37 (step @p281 :rule eq_resolve :premises (@p118 @p280)) % 240.10/240.37 (step @p282 :rule instantiate :premises (@p281) :args (@t185)) % 240.10/240.37 (step @p283 :rule cnf_or_pos :args (@t218)) % 240.10/240.37 (step @p284 :rule reordering :premises (@p283) :args ((or @t192 @t190 @t217 (not @t218)))) % 240.10/240.37 (step @p285 :rule chain_m_resolution :premises (@p284 @p226 @p225 @p282) :args (@t217 @t194 (@list @t191 @t189 @t218))) % 240.10/240.37 (step @p286 :rule trans :premises (@p244 @p285 @p277 @p263)) % 240.10/240.37 (step @p287 :rule cnf_or_pos :args (@t223)) % 240.10/240.37 (step @p288 :rule reordering :premises (@p287) :args ((or @t204 @t205 @t190 @t222 @t220 (not @t223)))) % 240.10/240.37 (step @p289 :rule chain_m_resolution :premises (@p288 @p8 @p256 @p225 @p286 @p217) :args (@t220 @t224 (@list @t1 @t201 @t189 @t221 @t223))) % 240.10/240.37 (step @p290 :rule refl :args (@t158)) % 240.10/240.37 (step @p291 :rule nary_cong :premises (@p208 @p207 @p206 @p205 @p290) :args (@t225)) % 240.10/240.37 (step @p292 :rule cong :premises (@p291) :args ((forall @t167 @t225))) % 240.10/240.37 (step @p293 :rule nary_cong :premises (@p208 @p207 @p206 @p212 @p290) :args (@t166)) % 240.10/240.37 (step @p294 :rule cong :premises (@p293) :args (@t168)) % 240.10/240.37 (step @p295 :rule trans :premises (@p294 @p292)) % 240.10/240.37 (step @p296 :rule eq_resolve :premises (@p190 @p295)) % 240.10/240.37 (step @p297 :rule instantiate :premises (@p296) :args (@t183)) % 240.10/240.37 (step @p298 :rule cnf_or_pos :args (@t227)) % 240.10/240.37 (step @p299 :rule reordering :premises (@p298) :args ((or @t204 @t205 @t190 @t222 @t226 (not @t227)))) % 240.10/240.37 (step @p300 :rule chain_m_resolution :premises (@p299 @p8 @p256 @p225 @p286 @p297) :args (@t226 @t224 (@list @t1 @t201 @t189 @t221 @t227))) % 240.10/240.37 (step @p301 :rule cnf_or_pos :args (@t230)) % 240.10/240.37 (step @p302 :rule reordering :premises (@p301) :args ((or @t228 @t229 @t231))) % 240.10/240.37 (step @p303 :rule chain_m_resolution :premises (@p302 @p300 @p289) :args (@t231 @t211 (@list @t226 @t220))) % 240.10/240.37 (assume-push @p310 @t49) % 240.10/240.37 (step @p305 :rule instantiate :premises (@p71) :args ((@list @t219))) % 240.10/240.37 (step-pop @p311 :rule scope :premises (@p305)) % 240.10/240.37 (step @p306 :rule process_scope :premises (@p311) :args (@t230)) % 240.10/240.37 (step @p308 :rule implies_elim :premises (@p306)) % 240.10/240.37 (step @p309 false :rule chain_m_resolution :premises (@p308 @p303 @p71) :args (false (@list true false) (@list @t230 @t49))) % 240.10/240.37 ) % 240.10/240.38 % SZS output end Proof % 240.10/240.38 % cvc5 exiting %------------------------------------------------------------------------------