%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC290-1 : 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 : n003.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 08:58:44 AM UTC 2026 % Result : Unsatisfiable 70.54s 70.72s % Output : Proof 70.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC290-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 19:37:14 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.53/15.77 --- Run --no-e-matching --full-saturate-quant at 6... % 21.63/21.81 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.64/27.85 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.75/33.91 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.87/64.04 --- Run --trigger-sel=max --full-saturate-quant at 15... % 70.54/70.72 % SZS status Unsatisfiable % 70.54/70.72 % SZS output start Proof % 70.54/70.73 ( % 70.54/70.73 (declare-sort $$unsorted 0) % 70.54/70.73 (declare-const tptp.sk4 $$unsorted) % 70.54/70.73 (declare-const tptp.sk2 $$unsorted) % 70.54/70.73 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.nil $$unsorted) % 70.54/70.73 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.sk1 $$unsorted) % 70.54/70.73 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.skac2 $$unsorted) % 70.54/70.73 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.sk3 $$unsorted) % 70.54/70.73 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.ssList (-> $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skac3 $$unsorted) % 70.54/70.73 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 70.54/70.73 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 70.54/70.73 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 70.54/70.73 (define @t1 () (tptp.ssList tptp.nil)) % 70.54/70.73 (define @t2 () (@var "U" $$unsorted)) % 70.54/70.73 (define @t3 () (tptp.skaf83 @t2)) % 70.54/70.73 (define @t4 () (@list @t2)) % 70.54/70.73 (define @t5 () (tptp.skaf82 @t2)) % 70.54/70.73 (define @t6 () (tptp.skaf81 @t2)) % 70.54/70.73 (define @t7 () (tptp.skaf80 @t2)) % 70.54/70.73 (define @t8 () (tptp.skaf79 @t2)) % 70.54/70.73 (define @t9 () (tptp.skaf78 @t2)) % 70.54/70.73 (define @t10 () (tptp.skaf77 @t2)) % 70.54/70.73 (define @t11 () (tptp.skaf76 @t2)) % 70.54/70.73 (define @t12 () (tptp.skaf75 @t2)) % 70.54/70.73 (define @t13 () (tptp.skaf74 @t2)) % 70.54/70.73 (define @t14 () (tptp.skaf73 @t2)) % 70.54/70.73 (define @t15 () (tptp.skaf72 @t2)) % 70.54/70.73 (define @t16 () (tptp.skaf71 @t2)) % 70.54/70.73 (define @t17 () (tptp.skaf70 @t2)) % 70.54/70.73 (define @t18 () (tptp.skaf69 @t2)) % 70.54/70.73 (define @t19 () (tptp.skaf68 @t2)) % 70.54/70.73 (define @t20 () (tptp.skaf67 @t2)) % 70.54/70.73 (define @t21 () (tptp.skaf66 @t2)) % 70.54/70.73 (define @t22 () (tptp.skaf65 @t2)) % 70.54/70.73 (define @t23 () (tptp.skaf64 @t2)) % 70.54/70.73 (define @t24 () (tptp.skaf63 @t2)) % 70.54/70.73 (define @t25 () (tptp.skaf62 @t2)) % 70.54/70.73 (define @t26 () (tptp.skaf61 @t2)) % 70.54/70.73 (define @t27 () (tptp.skaf60 @t2)) % 70.54/70.73 (define @t28 () (tptp.skaf59 @t2)) % 70.54/70.73 (define @t29 () (tptp.skaf58 @t2)) % 70.54/70.73 (define @t30 () (tptp.skaf57 @t2)) % 70.54/70.73 (define @t31 () (tptp.skaf56 @t2)) % 70.54/70.73 (define @t32 () (tptp.skaf55 @t2)) % 70.54/70.73 (define @t33 () (tptp.skaf54 @t2)) % 70.54/70.73 (define @t34 () (tptp.skaf53 @t2)) % 70.54/70.73 (define @t35 () (tptp.skaf52 @t2)) % 70.54/70.73 (define @t36 () (tptp.skaf51 @t2)) % 70.54/70.73 (define @t37 () (tptp.skaf50 @t2)) % 70.54/70.73 (define @t38 () (tptp.skaf49 @t2)) % 70.54/70.73 (define @t39 () (tptp.skaf44 @t2)) % 70.54/70.73 (define @t40 () (@var "V" $$unsorted)) % 70.54/70.73 (define @t41 () (@list @t2 @t40)) % 70.54/70.73 (define @t42 () (tptp.skaf47 @t2 @t40)) % 70.54/70.73 (define @t43 () (tptp.skaf46 @t2 @t40)) % 70.54/70.73 (define @t44 () (tptp.skaf45 @t2 @t40)) % 70.54/70.73 (define @t45 () (tptp.skaf42 @t2 @t40)) % 70.54/70.73 (define @t46 () (not (tptp.ssItem @t2))) % 70.54/70.73 (define @t47 () (not (tptp.ssList @t2))) % 70.54/70.73 (define @t48 () (tptp.cons @t2 tptp.nil)) % 70.54/70.73 (define @t49 () (tptp.ssItem @t40)) % 70.54/70.73 (define @t50 () (tptp.duplicatefreeP @t2)) % 70.54/70.73 (define @t51 () (= tptp.nil @t2)) % 70.54/70.73 (define @t52 () (tptp.tl @t2)) % 70.54/70.73 (define @t53 () (tptp.hd @t2)) % 70.54/70.73 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 70.54/70.73 (define @t55 () (not @t51)) % 70.54/70.73 (define @t56 () (tptp.rearsegP tptp.nil @t2)) % 70.54/70.73 (define @t57 () (tptp.frontsegP tptp.nil @t2)) % 70.54/70.73 (define @t58 () (tptp.app @t40 @t2)) % 70.54/70.73 (define @t59 () (not (tptp.ssList @t40))) % 70.54/70.73 (define @t60 () (tptp.cons @t2 @t40)) % 70.54/70.73 (define @t61 () (tptp.cyclefreeP @t2)) % 70.54/70.73 (define @t62 () (tptp.equalelemsP @t2)) % 70.54/70.73 (define @t63 () (tptp.strictorderedP @t2)) % 70.54/70.73 (define @t64 () (tptp.totalorderedP @t2)) % 70.54/70.73 (define @t65 () (tptp.strictorderP @t2)) % 70.54/70.73 (define @t66 () (tptp.totalorderP @t2)) % 70.54/70.73 (define @t67 () (= @t40 @t2)) % 70.54/70.73 (define @t68 () (tptp.neq @t40 @t2)) % 70.54/70.73 (define @t69 () (not @t49)) % 70.54/70.73 (define @t70 () (tptp.leq @t2 @t40)) % 70.54/70.73 (define @t71 () (tptp.lt @t2 @t40)) % 70.54/70.73 (define @t72 () (not @t71)) % 70.54/70.73 (define @t73 () (tptp.lt @t40 @t2)) % 70.54/70.73 (define @t74 () (not (tptp.gt @t2 @t40))) % 70.54/70.73 (define @t75 () (tptp.gt @t40 @t2)) % 70.54/70.73 (define @t76 () (tptp.leq @t40 @t2)) % 70.54/70.73 (define @t77 () (not (tptp.geq @t2 @t40))) % 70.54/70.73 (define @t78 () (tptp.geq @t40 @t2)) % 70.54/70.73 (define @t79 () (not @t70)) % 70.54/70.73 (define @t80 () (= @t2 @t40)) % 70.54/70.73 (define @t81 () (not @t80)) % 70.54/70.73 (define @t82 () (tptp.cons @t40 @t2)) % 70.54/70.73 (define @t83 () (not (tptp.neq @t2 @t40))) % 70.54/70.73 (define @t84 () (tptp.app @t2 @t40)) % 70.54/70.73 (define @t85 () (= @t84 tptp.nil)) % 70.54/70.73 (define @t86 () (not @t85)) % 70.54/70.73 (define @t87 () (= tptp.nil @t40)) % 70.54/70.73 (define @t88 () (tptp.app @t48 @t40)) % 70.54/70.73 (define @t89 () (or @t46 @t59 (= @t88 @t60))) % 70.54/70.73 (define @t90 () (forall @t41 @t89)) % 70.54/70.73 (define @t91 () (tptp.hd @t40)) % 70.54/70.73 (define @t92 () (tptp.strictorderedP @t40)) % 70.54/70.73 (define @t93 () (tptp.strictorderedP @t60)) % 70.54/70.73 (define @t94 () (not @t93)) % 70.54/70.73 (define @t95 () (tptp.totalorderedP @t40)) % 70.54/70.73 (define @t96 () (tptp.totalorderedP @t60)) % 70.54/70.73 (define @t97 () (not @t96)) % 70.54/70.73 (define @t98 () (not (tptp.segmentP @t2 @t40))) % 70.54/70.73 (define @t99 () (not (tptp.rearsegP @t2 @t40))) % 70.54/70.73 (define @t100 () (not (tptp.frontsegP @t2 @t40))) % 70.54/70.73 (define @t101 () (not @t76)) % 70.54/70.73 (define @t102 () (tptp.tl @t40)) % 70.54/70.73 (define @t103 () (tptp.lt @t2 @t91)) % 70.54/70.73 (define @t104 () (tptp.leq @t2 @t91)) % 70.54/70.73 (define @t105 () (@var "W" $$unsorted)) % 70.54/70.73 (define @t106 () (tptp.app @t105 @t2)) % 70.54/70.73 (define @t107 () (not (tptp.ssList @t105))) % 70.54/70.73 (define @t108 () (@list @t2 @t40 @t105)) % 70.54/70.73 (define @t109 () (tptp.app @t2 @t105)) % 70.54/70.73 (define @t110 () (tptp.cons @t40 @t105)) % 70.54/70.73 (define @t111 () (tptp.cons @t105 @t2)) % 70.54/70.73 (define @t112 () (not (tptp.ssItem @t105))) % 70.54/70.73 (define @t113 () (not (tptp.memberP @t2 @t40))) % 70.54/70.73 (define @t114 () (not (= @t84 @t105))) % 70.54/70.73 (define @t115 () (tptp.lt @t2 @t105)) % 70.54/70.73 (define @t116 () (not (tptp.lt @t40 @t105))) % 70.54/70.73 (define @t117 () (tptp.app @t105 @t40)) % 70.54/70.73 (define @t118 () (= @t40 @t105)) % 70.54/70.73 (define @t119 () (= @t2 @t105)) % 70.54/70.73 (define @t120 () (tptp.memberP @t40 @t105)) % 70.54/70.73 (define @t121 () (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14))) % 70.54/70.73 (define @t122 () (or @t47 @t63 (= @t121 @t2))) % 70.54/70.73 (define @t123 () (forall @t4 @t122)) % 70.54/70.73 (define @t124 () (@var "X" $$unsorted)) % 70.54/70.73 (define @t125 () (not (tptp.ssList @t124))) % 70.54/70.73 (define @t126 () (tptp.cons @t105 @t124)) % 70.54/70.73 (define @t127 () (not (= @t60 @t126))) % 70.54/70.73 (define @t128 () (@list @t2 @t40 @t105 @t124)) % 70.54/70.73 (define @t129 () (not (tptp.frontsegP @t60 @t126))) % 70.54/70.73 (define @t130 () (tptp.memberP @t124 @t40)) % 70.54/70.73 (define @t131 () (tptp.app @t2 @t110)) % 70.54/70.73 (define @t132 () (not (= @t131 @t124))) % 70.54/70.73 (define @t133 () (or @t132 @t107 @t47 @t69 @t125 @t130)) % 70.54/70.73 (define @t134 () (forall @t128 @t133)) % 70.54/70.73 (define @t135 () (not (tptp.ssItem @t124))) % 70.54/70.73 (define @t136 () (@var "Y" $$unsorted)) % 70.54/70.73 (define @t137 () (not (tptp.ssList @t136))) % 70.54/70.73 (define @t138 () (@list @t2 @t40 @t105 @t124 @t136)) % 70.54/70.73 (define @t139 () (tptp.lt @t40 @t124)) % 70.54/70.73 (define @t140 () (@var "Z" $$unsorted)) % 70.54/70.73 (define @t141 () (not (tptp.ssList @t140))) % 70.54/70.73 (define @t142 () (not (= (tptp.app @t131 (tptp.cons @t124 @t136)) @t140))) % 70.54/70.73 (define @t143 () (@list @t2 @t40 @t105 @t124 @t136 @t140)) % 70.54/70.73 (define @t144 () (tptp.leq @t40 @t124)) % 70.54/70.73 (define @t145 () (tptp.ssList tptp.sk3)) % 70.54/70.73 (define @t146 () (@var "D" $$unsorted)) % 70.54/70.73 (define @t147 () (@var "C" $$unsorted)) % 70.54/70.73 (define @t148 () (@var "A" $$unsorted)) % 70.54/70.73 (define @t149 () (not (tptp.ssItem @t146))) % 70.54/70.73 (define @t150 () (@var "B" $$unsorted)) % 70.54/70.73 (define @t151 () (tptp.app (tptp.app @t150 (tptp.cons @t148 tptp.nil)) @t147)) % 70.54/70.73 (define @t152 () (not (= @t151 tptp.sk3))) % 70.54/70.73 (define @t153 () (not (tptp.ssList @t147))) % 70.54/70.73 (define @t154 () (not (tptp.ssList @t150))) % 70.54/70.73 (define @t155 () (not (tptp.ssItem @t148))) % 70.54/70.73 (define @t156 () (@list @t148 @t150 @t147 @t146)) % 70.54/70.73 (define @t157 () (not (tptp.memberP @t150 @t146))) % 70.54/70.73 (define @t158 () (tptp.lt @t146 @t148)) % 70.54/70.73 (define @t159 () (or @t155 @t154 @t153 @t152 @t149 @t158 @t157)) % 70.54/70.73 (define @t160 () (forall @t156 @t159)) % 70.54/70.73 (define @t161 () (tptp.strictorderedP tptp.sk1)) % 70.54/70.73 (define @t162 () (not @t161)) % 70.54/70.73 (define @t163 () (@list tptp.sk3)) % 70.54/70.73 (define @t164 () (tptp.skaf73 tptp.sk3)) % 70.54/70.73 (define @t165 () (tptp.skaf70 tptp.sk3)) % 70.54/70.73 (define @t166 () (tptp.cons @t165 @t164)) % 70.54/70.73 (define @t167 () (tptp.skaf72 tptp.sk3)) % 70.54/70.73 (define @t168 () (tptp.skaf69 tptp.sk3)) % 70.54/70.73 (define @t169 () (tptp.cons @t168 @t167)) % 70.54/70.73 (define @t170 () (tptp.skaf71 tptp.sk3)) % 70.54/70.73 (define @t171 () (tptp.app @t170 @t169)) % 70.54/70.73 (define @t172 () (tptp.app @t171 @t166)) % 70.54/70.73 (define @t173 () (= tptp.sk3 @t172)) % 70.54/70.73 (define @t174 () (tptp.strictorderedP tptp.sk3)) % 70.54/70.73 (define @t175 () (not @t145)) % 70.54/70.73 (define @t176 () (or @t175 @t174 @t173)) % 70.54/70.73 (define @t177 () (@list true false false)) % 70.54/70.73 (define @t178 () (@list @t174 @t145 @t176)) % 70.54/70.73 (define @t179 () (tptp.cons @t165 tptp.nil)) % 70.54/70.73 (define @t180 () (tptp.app @t179 @t164)) % 70.54/70.73 (define @t181 () (= @t166 @t180)) % 70.54/70.73 (define @t182 () (tptp.ssList @t164)) % 70.54/70.73 (define @t183 () (not @t182)) % 70.54/70.73 (define @t184 () (tptp.ssItem @t165)) % 70.54/70.73 (define @t185 () (not @t184)) % 70.54/70.73 (define @t186 () (or @t185 @t183 @t181)) % 70.54/70.73 (define @t187 () (@list false false false)) % 70.54/70.73 (define @t188 () (tptp.ssList @t179)) % 70.54/70.73 (define @t189 () (not @t1)) % 70.54/70.73 (define @t190 () (or @t185 @t189 @t188)) % 70.54/70.73 (define @t191 () (tptp.ssList @t169)) % 70.54/70.73 (define @t192 () (tptp.ssList @t167)) % 70.54/70.73 (define @t193 () (not @t192)) % 70.54/70.73 (define @t194 () (tptp.ssItem @t168)) % 70.54/70.73 (define @t195 () (not @t194)) % 70.54/70.73 (define @t196 () (or @t195 @t193 @t191)) % 70.54/70.73 (define @t197 () (tptp.ssList @t171)) % 70.54/70.73 (define @t198 () (tptp.ssList @t170)) % 70.54/70.73 (define @t199 () (not @t198)) % 70.54/70.73 (define @t200 () (not @t191)) % 70.54/70.73 (define @t201 () (or @t200 @t199 @t197)) % 70.54/70.73 (define @t202 () (tptp.app (tptp.app @t171 @t179) @t164)) % 70.54/70.73 (define @t203 () (= @t202 (tptp.app @t171 @t180))) % 70.54/70.73 (define @t204 () (not @t197)) % 70.54/70.73 (define @t205 () (not @t188)) % 70.54/70.73 (define @t206 () (or @t183 @t205 @t204 @t203)) % 70.54/70.73 (define @t207 () (tptp.memberP @t131 @t40)) % 70.54/70.73 (define @t208 () (not (tptp.ssList @t131))) % 70.54/70.73 (define @t209 () (not (= @t131 @t131))) % 70.54/70.73 (define @t210 () (or @t209 @t107 @t47 @t69 @t208 @t207)) % 70.54/70.73 (define @t211 () (not (= @t124 @t131))) % 70.54/70.73 (define @t212 () (or @t211 @t211 @t107 @t47 @t69 @t125 @t130)) % 70.54/70.73 (define @t213 () (@list @t124)) % 70.54/70.73 (define @t214 () (or @t211 @t107 @t47 @t69 @t125 @t130)) % 70.54/70.73 (define @t215 () (forall @t213 @t214)) % 70.54/70.73 (define @t216 () (forall @t108 @t215)) % 70.54/70.73 (define @t217 () (tptp.memberP @t171 @t168)) % 70.54/70.73 (define @t218 () (or @t193 @t199 @t195 @t204 @t217)) % 70.54/70.73 (define @t219 () (tptp.lt @t168 @t165)) % 70.54/70.73 (define @t220 () (not @t219)) % 70.54/70.73 (define @t221 () (or @t220 @t175 @t174)) % 70.54/70.73 (define @t222 () (not @t217)) % 70.54/70.73 (define @t223 () (= tptp.sk3 @t202)) % 70.54/70.73 (define @t224 () (not @t223)) % 70.54/70.73 (define @t225 () (or @t185 @t204 @t183 @t224 @t195 @t219 @t222)) % 70.54/70.73 (define @t226 () (not @t203)) % 70.54/70.73 (define @t227 () (not @t181)) % 70.54/70.73 (define @t228 () (not @t173)) % 70.54/70.73 (define @t229 () (and @t223 @t224)) % 70.54/70.73 (assume @p1 (tptp.equalelemsP tptp.nil)) % 70.54/70.73 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 70.54/70.73 (assume @p3 (tptp.strictorderedP tptp.nil)) % 70.54/70.73 (assume @p4 (tptp.totalorderedP tptp.nil)) % 70.54/70.73 (assume @p5 (tptp.strictorderP tptp.nil)) % 70.54/70.73 (assume @p6 (tptp.totalorderP tptp.nil)) % 70.54/70.73 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 70.54/70.73 (assume @p8 @t1) % 70.54/70.73 (assume @p9 (tptp.ssItem tptp.skac3)) % 70.54/70.73 (assume @p10 (tptp.ssItem tptp.skac2)) % 70.54/70.73 (assume @p11 (not (tptp.singletonP tptp.nil))) % 70.54/70.73 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 70.54/70.73 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 70.54/70.73 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 70.54/70.73 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 70.54/70.73 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 70.54/70.73 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 70.54/70.73 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 70.54/70.73 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 70.54/70.73 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 70.54/70.73 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 70.54/70.73 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 70.54/70.73 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 70.54/70.73 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 70.54/70.73 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 70.54/70.73 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 70.54/70.73 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 70.54/70.73 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 70.54/70.73 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 70.54/70.73 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 70.54/70.73 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 70.54/70.73 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 70.54/70.73 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 70.54/70.73 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 70.54/70.73 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 70.54/70.73 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 70.54/70.73 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 70.54/70.73 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 70.54/70.73 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 70.54/70.73 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 70.54/70.73 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 70.54/70.73 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 70.54/70.73 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 70.54/70.73 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 70.54/70.73 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 70.54/70.73 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 70.54/70.73 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 70.54/70.73 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 70.54/70.73 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 70.54/70.73 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 70.54/70.73 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 70.54/70.73 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 70.54/70.73 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 70.54/70.73 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 70.54/70.73 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 70.54/70.73 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 70.54/70.73 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 70.54/70.73 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 70.54/70.73 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 70.54/70.73 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 70.54/70.73 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 70.54/70.73 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 70.54/70.73 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 70.54/70.73 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 70.54/70.73 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 70.54/70.73 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 70.54/70.73 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 70.54/70.73 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 70.54/70.73 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 70.54/70.73 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 70.54/70.73 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 70.54/70.73 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 70.54/70.73 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 70.54/70.73 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 70.54/70.73 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 70.54/70.73 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 70.54/70.73 (assume @p77 (forall @t4 (or @t55 @t47 @t54))) % 70.54/70.73 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 70.54/70.73 (assume @p79 (forall @t4 (or @t55 @t47 @t56))) % 70.54/70.73 (assume @p80 (forall @t4 (or (not @t56) @t47 @t51))) % 70.54/70.73 (assume @p81 (forall @t4 (or @t55 @t47 @t57))) % 70.54/70.73 (assume @p82 (forall @t4 (or (not @t57) @t47 @t51))) % 70.54/70.73 (assume @p83 (forall @t41 (or @t47 @t59 (tptp.ssList @t58)))) % 70.54/70.73 (assume @p84 (forall @t41 (or @t46 @t59 (tptp.ssList @t60)))) % 70.54/70.73 (assume @p85 (forall @t4 (or @t47 @t61 (tptp.leq @t37 @t38)))) % 70.54/70.73 (assume @p86 (forall @t4 (or @t47 @t61 (tptp.leq @t38 @t37)))) % 70.54/70.73 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t62))) % 70.54/70.73 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t63))) % 70.54/70.73 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t64))) % 70.54/70.73 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t65))) % 70.54/70.73 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t65))) % 70.54/70.73 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t66))) % 70.54/70.73 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t66))) % 70.54/70.73 (assume @p94 (forall @t41 (or @t46 @t59 (= (tptp.tl @t60) @t40)))) % 70.54/70.73 (assume @p95 (forall @t41 (or @t46 @t59 (= (tptp.hd @t60) @t2)))) % 70.54/70.73 (assume @p96 (forall @t41 (or (not (= @t60 tptp.nil)) @t46 @t59))) % 70.54/70.73 (assume @p97 (forall @t41 (or (not (= @t60 @t40)) @t46 @t59))) % 70.54/70.73 (assume @p98 (forall @t41 (or @t47 @t59 @t68 @t67))) % 70.54/70.73 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 70.54/70.73 (assume @p100 (forall @t41 (or @t46 @t69 @t68 @t67))) % 70.54/70.73 (assume @p101 (forall @t41 (or @t72 @t69 @t46 @t70))) % 70.54/70.73 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 70.54/70.73 (assume @p103 (forall @t41 (or @t74 @t69 @t46 @t73))) % 70.54/70.73 (assume @p104 (forall @t41 (or @t72 @t46 @t69 @t75))) % 70.54/70.73 (assume @p105 (forall @t41 (or @t77 @t69 @t46 @t76))) % 70.54/70.73 (assume @p106 (forall @t41 (or @t79 @t46 @t69 @t78))) % 70.54/70.73 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 70.54/70.73 (assume @p108 (forall @t41 (or @t74 (not @t75) @t46 @t69))) % 70.54/70.73 (assume @p109 (forall @t41 (or @t81 @t72 @t69 @t46))) % 70.54/70.73 (assume @p110 (forall @t41 (or @t55 @t47 @t69 (tptp.strictorderedP @t82)))) % 70.54/70.73 (assume @p111 (forall @t41 (or @t55 @t47 @t69 (tptp.totalorderedP @t82)))) % 70.54/70.73 (assume @p112 (forall @t41 (or @t72 (not @t73) @t46 @t69))) % 70.54/70.73 (assume @p113 (forall @t41 (or @t81 @t83 @t59 @t47))) % 70.54/70.73 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t59 (tptp.singletonP @t40)))) % 70.54/70.73 (assume @p115 (forall @t41 (or @t81 @t83 @t69 @t46))) % 70.54/70.73 (assume @p116 (forall @t41 (or @t86 @t59 @t47 @t51))) % 70.54/70.73 (assume @p117 (forall @t41 (or @t86 @t59 @t47 @t87))) % 70.54/70.73 (assume @p118 @t90) % 70.54/70.73 (assume @p119 (forall @t41 (or @t79 @t69 @t46 @t71 @t80))) % 70.54/70.73 (assume @p120 (forall @t41 (or @t47 @t59 @t87 (= (tptp.hd @t58) @t91)))) % 70.54/70.73 (assume @p121 (forall @t41 (or @t94 @t59 @t46 @t92 @t87))) % 70.54/70.73 (assume @p122 (forall @t41 (or @t97 @t59 @t46 @t95 @t87))) % 70.54/70.73 (assume @p123 (forall @t41 (or @t77 (not @t78) @t46 @t69 @t67))) % 70.54/70.73 (assume @p124 (forall @t41 (or @t98 (not (tptp.segmentP @t40 @t2)) @t47 @t59 @t67))) % 70.54/70.73 (assume @p125 (forall @t41 (or @t99 (not (tptp.rearsegP @t40 @t2)) @t47 @t59 @t67))) % 70.54/70.73 (assume @p126 (forall @t41 (or @t100 (not (tptp.frontsegP @t40 @t2)) @t47 @t59 @t67))) % 70.54/70.73 (assume @p127 (forall @t41 (or @t79 @t101 @t46 @t69 @t67))) % 70.54/70.73 (assume @p128 (forall @t41 (or @t99 @t59 @t47 (= (tptp.app @t43 @t40) @t2)))) % 70.54/70.73 (assume @p129 (forall @t41 (or @t100 @t59 @t47 (= (tptp.app @t40 @t44) @t2)))) % 70.54/70.73 (assume @p130 (forall @t41 (or @t47 @t59 @t87 (= (tptp.tl @t58) (tptp.app @t102 @t2))))) % 70.54/70.73 (assume @p131 (forall @t41 (or @t94 @t59 @t46 @t103 @t87))) % 70.54/70.73 (assume @p132 (forall @t41 (or @t97 @t59 @t46 @t104 @t87))) % 70.54/70.73 (assume @p133 (forall @t108 (or @t99 @t107 @t59 @t47 (tptp.rearsegP @t106 @t40)))) % 70.54/70.73 (assume @p134 (forall @t108 (or @t100 @t107 @t59 @t47 (tptp.frontsegP @t109 @t40)))) % 70.54/70.73 (assume @p135 (forall @t108 (or @t81 @t107 @t69 @t46 (tptp.memberP @t110 @t2)))) % 70.54/70.73 (assume @p136 (forall @t108 (or @t113 @t47 @t112 @t69 (tptp.memberP @t111 @t40)))) % 70.54/70.73 (assume @p137 (forall @t108 (or @t113 @t107 @t47 @t69 (tptp.memberP @t109 @t40)))) % 70.54/70.73 (assume @p138 (forall @t108 (or @t113 @t47 @t107 @t69 (tptp.memberP @t106 @t40)))) % 70.54/70.73 (assume @p139 (forall @t4 (or @t47 @t62 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 70.54/70.73 (assume @p140 (forall @t108 (or @t114 @t47 @t59 @t107 (tptp.rearsegP @t105 @t40)))) % 70.54/70.73 (assume @p141 (forall @t108 (or @t114 @t59 @t47 @t107 (tptp.frontsegP @t105 @t2)))) % 70.54/70.73 (assume @p142 (forall @t41 (or @t55 (not @t87) @t59 @t47 @t85))) % 70.54/70.73 (assume @p143 (forall @t108 (or @t74 (not (tptp.gt @t40 @t105)) @t112 @t69 @t46 (tptp.gt @t2 @t105)))) % 70.54/70.73 (assume @p144 (forall @t108 (or @t79 @t116 @t112 @t69 @t46 @t115))) % 70.54/70.73 (assume @p145 (forall @t108 (or @t77 (not (tptp.geq @t40 @t105)) @t112 @t69 @t46 (tptp.geq @t2 @t105)))) % 70.54/70.73 (assume @p146 (forall @t108 (or @t47 @t59 @t107 (= (tptp.app @t117 @t2) (tptp.app @t105 @t58))))) % 70.54/70.73 (assume @p147 (forall @t108 (or (not (= @t84 @t109)) @t59 @t47 @t107 @t118))) % 70.54/70.73 (assume @p148 (forall @t108 (or (not (= @t84 @t117)) @t47 @t59 @t107 @t119))) % 70.54/70.73 (assume @p149 (forall @t108 (or @t98 (not (tptp.segmentP @t40 @t105)) @t107 @t59 @t47 (tptp.segmentP @t2 @t105)))) % 70.54/70.73 (assume @p150 (forall @t108 (or @t99 (not (tptp.rearsegP @t40 @t105)) @t107 @t59 @t47 (tptp.rearsegP @t2 @t105)))) % 70.54/70.73 (assume @p151 (forall @t108 (or @t100 (not (tptp.frontsegP @t40 @t105)) @t107 @t59 @t47 (tptp.frontsegP @t2 @t105)))) % 70.54/70.73 (assume @p152 (forall @t108 (or @t72 @t116 @t112 @t69 @t46 @t115))) % 70.54/70.73 (assume @p153 (forall @t108 (or @t79 (not (tptp.leq @t40 @t105)) @t112 @t69 @t46 (tptp.leq @t2 @t105)))) % 70.54/70.73 (assume @p154 (forall @t108 (or @t46 @t59 @t107 (= (tptp.cons @t2 (tptp.app @t40 @t105)) (tptp.app @t60 @t105))))) % 70.54/70.73 (assume @p155 (forall @t108 (or (not (tptp.memberP @t84 @t105)) @t59 @t47 @t112 @t120 (tptp.memberP @t2 @t105)))) % 70.54/70.73 (assume @p156 (forall @t41 (or (not @t104) (not @t95) @t59 @t46 @t96 @t87))) % 70.54/70.73 (assume @p157 (forall @t41 (or (not @t103) (not @t92) @t59 @t46 @t93 @t87))) % 70.54/70.73 (assume @p158 (forall @t108 (or (not (tptp.memberP @t60 @t105)) @t59 @t46 @t112 @t120 (= @t105 @t2)))) % 70.54/70.73 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 70.54/70.73 (assume @p160 @t123) % 70.54/70.73 (assume @p161 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 70.54/70.73 (assume @p162 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 70.54/70.73 (assume @p163 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 70.54/70.73 (assume @p164 (forall @t4 (or @t47 @t61 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 70.54/70.73 (assume @p165 (forall @t41 (or @t98 @t59 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 70.54/70.73 (assume @p166 (forall @t41 (or @t113 @t69 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 70.54/70.73 (assume @p167 (forall @t128 (or @t127 @t112 @t46 @t125 @t59 @t119))) % 70.54/70.73 (assume @p168 (forall @t128 (or @t127 @t112 @t46 @t125 @t59 (= @t124 @t40)))) % 70.54/70.73 (assume @p169 (forall @t128 (or @t98 @t107 @t125 @t59 @t47 (tptp.segmentP (tptp.app (tptp.app @t124 @t2) @t105) @t40)))) % 70.54/70.73 (assume @p170 (forall @t128 (or (not (= (tptp.app @t84 @t105) @t124)) @t107 @t47 @t59 @t125 (tptp.segmentP @t124 @t40)))) % 70.54/70.73 (assume @p171 (forall @t128 (or @t129 @t125 @t59 @t112 @t46 (tptp.frontsegP @t40 @t124)))) % 70.54/70.73 (assume @p172 @t134) % 70.54/70.73 (assume @p173 (forall @t128 (or @t129 @t125 @t59 @t112 @t46 @t119))) % 70.54/70.73 (assume @p174 (forall @t41 (or (not (= @t52 @t102)) (not (= @t53 @t91)) @t47 @t59 @t87 @t80 @t51))) % 70.54/70.73 (assume @p175 (forall @t128 (or @t100 (not (= @t105 @t124)) @t59 @t47 @t135 @t112 (tptp.frontsegP @t111 (tptp.cons @t124 @t40))))) % 70.54/70.73 (assume @p176 (forall @t138 (or (not (= (tptp.app @t131 (tptp.cons @t40 @t124)) @t136)) @t125 @t107 @t47 @t69 (not (tptp.duplicatefreeP @t136)) @t137))) % 70.54/70.73 (assume @p177 (forall @t138 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t126)) @t136)) @t125 @t47 @t112 @t69 (not (tptp.equalelemsP @t136)) @t137 @t118))) % 70.54/70.73 (assume @p178 (forall @t143 (or @t142 @t137 @t107 @t47 @t135 @t69 (not (tptp.strictorderedP @t140)) @t141 @t139))) % 70.54/70.73 (assume @p179 (forall @t143 (or @t142 @t137 @t107 @t47 @t135 @t69 (not (tptp.totalorderedP @t140)) @t141 @t144))) % 70.54/70.73 (assume @p180 (forall @t143 (or @t142 @t137 @t107 @t47 @t135 @t69 (not (tptp.strictorderP @t140)) @t141 @t139 (tptp.lt @t124 @t40)))) % 70.54/70.73 (assume @p181 (forall @t143 (or @t142 @t137 @t107 @t47 @t135 @t69 (not (tptp.totalorderP @t140)) @t141 @t144 (tptp.leq @t124 @t40)))) % 70.54/70.73 (assume @p182 (forall @t143 (or @t79 @t101 (not (= (tptp.app (tptp.app @t105 (tptp.cons @t2 @t124)) (tptp.cons @t40 @t136)) @t140)) @t137 @t125 @t107 @t69 @t46 (not (tptp.cyclefreeP @t140)) @t141))) % 70.54/70.73 (assume @p183 (tptp.ssList tptp.sk1)) % 70.54/70.73 (assume @p184 (tptp.ssList tptp.sk2)) % 70.54/70.73 (assume @p185 @t145) % 70.54/70.73 (assume @p186 (tptp.ssList tptp.sk4)) % 70.54/70.73 (assume @p187 (= tptp.sk2 tptp.sk4)) % 70.54/70.73 (assume @p188 (= tptp.sk1 tptp.sk3)) % 70.54/70.73 (assume @p189 (forall @t156 (or @t155 @t154 @t153 @t152 @t149 (tptp.lt @t148 @t146) (not (tptp.memberP @t147 @t146))))) % 70.54/70.73 (assume @p190 @t160) % 70.54/70.73 (assume @p191 @t162) % 70.54/70.73 (step @p192 :rule eq-symm :args (@t121 @t2)) % 70.54/70.73 (step @p193 :rule refl :args (@t63)) % 70.54/70.73 (step @p194 :rule refl :args (@t47)) % 70.54/70.73 (step @p195 :rule nary_cong :premises (@p194 @p193 @p192) :args (@t122)) % 70.54/70.73 (step @p196 :rule cong :premises (@p195) :args (@t123)) % 70.54/70.73 (step @p197 :rule eq_resolve :premises (@p160 @p196)) % 70.54/70.73 (step @p198 :rule instantiate :premises (@p197) :args (@t163)) % 70.54/70.73 (step @p199 :rule cong :premises (@p188) :args (@t161)) % 70.54/70.73 (step @p200 :rule cong :premises (@p199) :args (@t162)) % 70.54/70.73 (step @p201 :rule eq_resolve :premises (@p191 @p200)) % 70.54/70.73 (step @p202 :rule cnf_or_pos :args (@t176)) % 70.54/70.73 (step @p203 :rule reordering :premises (@p202) :args ((or @t174 @t175 @t173 (not @t176)))) % 70.54/70.73 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p185 @p198) :args (@t173 @t177 @t178)) % 70.54/70.73 (step @p205 :rule eq-symm :args (@t88 @t60)) % 70.54/70.73 (step @p206 :rule refl :args (@t59)) % 70.54/70.73 (step @p207 :rule refl :args (@t46)) % 70.54/70.73 (step @p208 :rule nary_cong :premises (@p207 @p206 @p205) :args (@t89)) % 70.54/70.73 (step @p209 :rule cong :premises (@p208) :args (@t90)) % 70.54/70.73 (step @p210 :rule eq_resolve :premises (@p118 @p209)) % 70.54/70.73 (step @p211 :rule instantiate :premises (@p210) :args ((@list @t165 @t164))) % 70.54/70.73 (step @p212 :rule instantiate :premises (@p22) :args (@t163)) % 70.54/70.73 (step @p213 :rule instantiate :premises (@p25) :args (@t163)) % 70.54/70.73 (step @p214 :rule cnf_or_pos :args (@t186)) % 70.54/70.73 (step @p215 :rule reordering :premises (@p214) :args ((or @t185 @t183 @t181 (not @t186)))) % 70.54/70.73 (step @p216 :rule chain_m_resolution :premises (@p215 @p213 @p212 @p211) :args (@t181 @t187 (@list @t184 @t182 @t186))) % 70.54/70.73 (step @p217 :rule instantiate :premises (@p146) :args ((@list @t164 @t179 @t171))) % 70.54/70.73 (step @p218 :rule instantiate :premises (@p84) :args ((@list @t165 tptp.nil))) % 70.54/70.73 (step @p219 :rule cnf_or_pos :args (@t190)) % 70.54/70.73 (step @p220 :rule reordering :premises (@p219) :args ((or @t189 @t185 @t188 (not @t190)))) % 70.54/70.73 (step @p221 :rule chain_m_resolution :premises (@p220 @p8 @p213 @p218) :args (@t188 @t187 (@list @t1 @t184 @t190))) % 70.54/70.73 (step @p222 :rule instantiate :premises (@p83) :args ((@list @t169 @t170))) % 70.54/70.73 (step @p223 :rule instantiate :premises (@p24) :args (@t163)) % 70.54/70.73 (step @p224 :rule instantiate :premises (@p84) :args ((@list @t168 @t167))) % 70.54/70.73 (step @p225 :rule instantiate :premises (@p23) :args (@t163)) % 70.54/70.73 (step @p226 :rule instantiate :premises (@p26) :args (@t163)) % 70.54/70.73 (step @p227 :rule cnf_or_pos :args (@t196)) % 70.54/70.73 (step @p228 :rule reordering :premises (@p227) :args ((or @t195 @t193 @t191 (not @t196)))) % 70.54/70.73 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p225 @p224) :args (@t191 @t187 (@list @t194 @t192 @t196))) % 70.54/70.73 (step @p230 :rule cnf_or_pos :args (@t201)) % 70.54/70.73 (step @p231 :rule reordering :premises (@p230) :args ((or @t200 @t199 @t197 (not @t201)))) % 70.54/70.73 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p223 @p222) :args (@t197 @t187 (@list @t191 @t198 @t201))) % 70.54/70.73 (step @p233 :rule cnf_or_pos :args (@t206)) % 70.54/70.73 (step @p234 :rule reordering :premises (@p233) :args ((or @t183 @t204 @t205 @t203 (not @t206)))) % 70.54/70.73 (step @p235 :rule chain_m_resolution :premises (@p234 @p212 @p232 @p221 @p217) :args (@t203 (@list false false false false) (@list @t182 @t197 @t188 @t206))) % 70.54/70.73 (step @p236 :rule refl :args (@t157)) % 70.54/70.73 (step @p237 :rule refl :args (@t158)) % 70.54/70.73 (step @p238 :rule refl :args (@t149)) % 70.54/70.73 (step @p239 :rule eq-symm :args (@t151 tptp.sk3)) % 70.54/70.73 (step @p240 :rule cong :premises (@p239) :args (@t152)) % 70.54/70.73 (step @p241 :rule refl :args (@t153)) % 70.54/70.73 (step @p242 :rule refl :args (@t154)) % 70.54/70.73 (step @p243 :rule refl :args (@t155)) % 70.54/70.73 (step @p244 :rule nary_cong :premises (@p243 @p242 @p241 @p240 @p238 @p237 @p236) :args (@t159)) % 70.54/70.73 (step @p245 :rule cong :premises (@p244) :args (@t160)) % 70.54/70.73 (step @p246 :rule eq_resolve :premises (@p190 @p245)) % 70.54/70.73 (step @p247 :rule instantiate :premises (@p246) :args ((@list @t165 @t171 @t164 @t168))) % 70.54/70.73 (step @p248 :rule aci_norm :args ((= (or false @t107 @t47 @t69 @t208 @t207) (or @t107 @t47 @t69 @t208 @t207)))) % 70.54/70.73 (step @p249 :rule refl :args (@t207)) % 70.54/70.73 (step @p250 :rule refl :args (@t208)) % 70.54/70.73 (step @p251 :rule refl :args (@t69)) % 70.54/70.73 (step @p252 :rule refl :args (@t107)) % 70.54/70.73 (step @p253 :rule evaluate :args ((not true))) % 70.54/70.73 (step @p254 :rule eq-refl :args (@t131)) % 70.54/70.73 (step @p255 :rule cong :premises (@p254) :args (@t209)) % 70.54/70.73 (step @p256 :rule trans :premises (@p255 @p253)) % 70.54/70.73 (step @p257 :rule nary_cong :premises (@p256 @p252 @p194 @p251 @p250 @p249) :args (@t210)) % 70.54/70.73 (step @p258 :rule trans :premises (@p257 @p248)) % 70.54/70.73 (step @p259 :rule cong :premises (@p258) :args ((forall @t108 @t210))) % 70.54/70.73 (step @p260 :rule quant-var-elim-eq :args ((= (forall @t213 @t212) @t210))) % 70.54/70.73 (step @p261 :rule aci_norm :args ((= @t214 @t212))) % 70.54/70.73 (step @p262 :rule cong :premises (@p261) :args (@t215)) % 70.54/70.73 (step @p263 :rule trans :premises (@p262 @p260)) % 70.54/70.73 (step @p264 :rule cong :premises (@p263) :args (@t216)) % 70.54/70.73 (step @p265 :rule quant-merge-prenex :args ((= @t216 (forall @t128 @t214)))) % 70.54/70.73 (step @p266 :rule symm :premises (@p265)) % 70.54/70.73 (step @p267 :rule trans :premises (@p266 @p264)) % 70.54/70.73 (step @p268 :rule trans :premises (@p267 @p259)) % 70.54/70.73 (step @p269 :rule refl :args (@t130)) % 70.54/70.73 (step @p270 :rule refl :args (@t125)) % 70.54/70.73 (step @p271 :rule eq-symm :args (@t131 @t124)) % 70.54/70.73 (step @p272 :rule cong :premises (@p271) :args (@t132)) % 70.54/70.73 (step @p273 :rule nary_cong :premises (@p272 @p252 @p194 @p251 @p270 @p269) :args (@t133)) % 70.54/70.73 (step @p274 :rule cong :premises (@p273) :args (@t134)) % 70.54/70.73 (step @p275 :rule trans :premises (@p274 @p268)) % 70.54/70.73 (step @p276 :rule eq_resolve :premises (@p172 @p275)) % 70.54/70.73 (step @p277 :rule instantiate :premises (@p276) :args ((@list @t170 @t168 @t167))) % 70.54/70.73 (step @p278 :rule cnf_or_pos :args (@t218)) % 70.54/70.73 (step @p279 :rule reordering :premises (@p278) :args ((or @t195 @t193 @t199 @t204 @t217 (not @t218)))) % 70.54/70.73 (step @p280 :rule chain_m_resolution :premises (@p279 @p226 @p225 @p223 @p232 @p277) :args (@t217 (@list false false false false false) (@list @t194 @t192 @t198 @t197 @t218))) % 70.54/70.73 (step @p281 :rule instantiate :premises (@p88) :args (@t163)) % 70.54/70.73 (step @p282 :rule cnf_or_pos :args (@t221)) % 70.54/70.73 (step @p283 :rule reordering :premises (@p282) :args ((or @t174 @t175 @t220 (not @t221)))) % 70.54/70.73 (step @p284 :rule chain_m_resolution :premises (@p283 @p201 @p185 @p281) :args (@t220 @t177 (@list @t174 @t145 @t221))) % 70.54/70.73 (step @p285 :rule cnf_or_pos :args (@t225)) % 70.54/70.73 (step @p286 :rule reordering :premises (@p285) :args ((or @t219 @t185 @t183 @t195 @t204 @t222 @t224 (not @t225)))) % 70.54/70.73 (step @p287 :rule chain_m_resolution :premises (@p286 @p284 @p213 @p212 @p226 @p232 @p280 @p247) :args (@t224 (@list true false false false false false false) (@list @t219 @t184 @t182 @t194 @t197 @t217 @t225))) % 70.54/70.73 (step @p288 :rule bool-double-not-elim :args (@t223)) % 70.54/70.73 (step @p289 :rule refl :args (@t226)) % 70.54/70.73 (step @p290 :rule refl :args (@t227)) % 70.54/70.73 (step @p291 :rule refl :args (@t228)) % 70.54/70.73 (step @p292 :rule nary_cong :premises (@p291 @p290 @p289 @p288) :args ((or @t228 @t227 @t226 (not @t224)))) % 70.54/70.73 (assume-push @p325 @t223) % 70.54/70.73 (assume-push @p326 @t224) % 70.54/70.73 (step @p295 :rule evaluate :args ((= true false))) % 70.54/70.73 (step @p296 :rule false_intro :premises (@p287)) % 70.54/70.73 (step @p297 :rule symm :premises (@p235)) % 70.54/70.73 (step @p298 :rule refl :args (@t171)) % 70.54/70.73 (step @p299 :rule cong :premises (@p298 @p216) :args (@t172)) % 70.54/70.73 (step @p300 :rule chain_m_resolution :premises (@p203 @p201 @p185 @p198) :args (@t173 @t177 @t178)) % 70.54/70.73 (step @p301 :rule trans :premises (@p300 @p299 @p297)) % 70.54/70.73 (step @p302 :rule true_intro :premises (@p301)) % 70.54/70.73 (step @p303 :rule symm :premises (@p302)) % 70.54/70.73 (step @p304 :rule trans :premises (@p303 @p296)) % 70.54/70.73 (step @p305 false :rule eq_resolve :premises (@p304 @p295)) % 70.54/70.73 (step-pop @p327 :rule scope :premises (@p305)) % 70.54/70.73 (step-pop @p328 :rule scope :premises (@p327)) % 70.54/70.73 (step @p306 :rule process_scope :premises (@p328) :args (false)) % 70.54/70.73 (assume-push @p329 @t173) % 70.54/70.73 (assume-push @p330 @t181) % 70.54/70.73 (assume-push @p331 @t203) % 70.54/70.73 (assume-push @p332 @t224) % 70.54/70.73 (step @p297 :rule symm :premises (@p235)) % 70.54/70.73 (step @p298 :rule refl :args (@t171)) % 70.54/70.73 (step @p299 :rule cong :premises (@p298 @p216) :args (@t172)) % 70.54/70.73 (step @p313 :rule trans :premises (@p204 @p299 @p297)) % 70.54/70.73 (step @p314 :rule and_intro :premises (@p313 @p287)) % 70.54/70.73 (step-pop @p333 :rule scope :premises (@p314)) % 70.54/70.73 (step-pop @p334 :rule scope :premises (@p333)) % 70.54/70.73 (step-pop @p335 :rule scope :premises (@p334)) % 70.54/70.73 (step-pop @p336 :rule scope :premises (@p335)) % 70.54/70.73 (step @p315 :rule process_scope :premises (@p336) :args (@t229)) % 70.54/70.73 (step @p320 :rule implies_elim :premises (@p315)) % 70.54/70.73 (step @p321 :rule resolution :premises (@p320 @p306) :args (true @t229)) % 70.54/70.73 (step @p322 :rule not_and :premises (@p321)) % 70.54/70.73 (step @p323 :rule eq_resolve :premises (@p322 @p292)) % 70.54/70.73 (step @p324 false :rule chain_m_resolution :premises (@p323 @p287 @p235 @p216 @p204) :args (false (@list true false false false) (@list @t223 @t203 @t181 @t173))) % 70.54/70.73 ) % 70.54/70.73 % SZS output end Proof % 70.54/70.73 % cvc5 exiting %------------------------------------------------------------------------------