%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC390-1 : 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 : n011.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 08:59:08 AM UTC 2026 % Result : Unsatisfiable 34.04s 34.83s % Output : Proof 34.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC390-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:45:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.72/16.02 --- Run --no-e-matching --full-saturate-quant at 6... % 21.85/22.07 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.86/28.11 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.96/34.18 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.04/34.83 % SZS status Unsatisfiable % 34.04/34.83 % SZS output start Proof % 34.04/34.84 ( % 34.04/34.84 (declare-sort $$unsorted 0) % 34.04/34.84 (declare-const tptp.sk5 $$unsorted) % 34.04/34.84 (declare-const tptp.sk4 $$unsorted) % 34.04/34.84 (declare-const tptp.sk2 $$unsorted) % 34.04/34.84 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.nil $$unsorted) % 34.04/34.84 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.sk1 $$unsorted) % 34.04/34.84 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.skac2 $$unsorted) % 34.04/34.84 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.sk3 $$unsorted) % 34.04/34.84 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.ssList (-> $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skac3 $$unsorted) % 34.04/34.84 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.84 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 34.04/34.84 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 34.04/34.84 (define @t1 () (tptp.ssList tptp.nil)) % 34.04/34.84 (define @t2 () (@var "U" $$unsorted)) % 34.04/34.84 (define @t3 () (tptp.skaf83 @t2)) % 34.04/34.84 (define @t4 () (@list @t2)) % 34.04/34.84 (define @t5 () (tptp.skaf82 @t2)) % 34.04/34.84 (define @t6 () (tptp.skaf81 @t2)) % 34.04/34.84 (define @t7 () (tptp.skaf80 @t2)) % 34.04/34.84 (define @t8 () (tptp.skaf79 @t2)) % 34.04/34.84 (define @t9 () (tptp.skaf78 @t2)) % 34.04/34.84 (define @t10 () (tptp.skaf77 @t2)) % 34.04/34.84 (define @t11 () (tptp.skaf76 @t2)) % 34.04/34.84 (define @t12 () (tptp.skaf75 @t2)) % 34.04/34.84 (define @t13 () (tptp.skaf74 @t2)) % 34.04/34.84 (define @t14 () (tptp.skaf73 @t2)) % 34.04/34.84 (define @t15 () (tptp.skaf72 @t2)) % 34.04/34.84 (define @t16 () (tptp.skaf71 @t2)) % 34.04/34.84 (define @t17 () (tptp.skaf70 @t2)) % 34.04/34.84 (define @t18 () (tptp.skaf69 @t2)) % 34.04/34.84 (define @t19 () (tptp.skaf68 @t2)) % 34.04/34.84 (define @t20 () (tptp.skaf67 @t2)) % 34.04/34.84 (define @t21 () (tptp.skaf66 @t2)) % 34.04/34.84 (define @t22 () (tptp.skaf65 @t2)) % 34.04/34.84 (define @t23 () (tptp.skaf64 @t2)) % 34.04/34.84 (define @t24 () (tptp.skaf63 @t2)) % 34.04/34.84 (define @t25 () (tptp.skaf62 @t2)) % 34.04/34.84 (define @t26 () (tptp.skaf61 @t2)) % 34.04/34.84 (define @t27 () (tptp.skaf60 @t2)) % 34.04/34.84 (define @t28 () (tptp.skaf59 @t2)) % 34.04/34.84 (define @t29 () (tptp.skaf58 @t2)) % 34.04/34.84 (define @t30 () (tptp.skaf57 @t2)) % 34.04/34.84 (define @t31 () (tptp.skaf56 @t2)) % 34.04/34.84 (define @t32 () (tptp.skaf55 @t2)) % 34.04/34.84 (define @t33 () (tptp.skaf54 @t2)) % 34.04/34.84 (define @t34 () (tptp.skaf53 @t2)) % 34.04/34.84 (define @t35 () (tptp.skaf52 @t2)) % 34.04/34.84 (define @t36 () (tptp.skaf51 @t2)) % 34.04/34.84 (define @t37 () (tptp.skaf50 @t2)) % 34.04/34.84 (define @t38 () (tptp.skaf49 @t2)) % 34.04/34.84 (define @t39 () (tptp.skaf44 @t2)) % 34.04/34.84 (define @t40 () (@var "V" $$unsorted)) % 34.04/34.84 (define @t41 () (@list @t2 @t40)) % 34.04/34.84 (define @t42 () (tptp.skaf47 @t2 @t40)) % 34.04/34.84 (define @t43 () (tptp.skaf46 @t2 @t40)) % 34.04/34.84 (define @t44 () (tptp.skaf45 @t2 @t40)) % 34.04/34.84 (define @t45 () (tptp.skaf42 @t2 @t40)) % 34.04/34.84 (define @t46 () (not (tptp.ssItem @t2))) % 34.04/34.84 (define @t47 () (not (tptp.ssList @t2))) % 34.04/34.84 (define @t48 () (tptp.cons @t2 tptp.nil)) % 34.04/34.84 (define @t49 () (tptp.ssItem @t40)) % 34.04/34.84 (define @t50 () (tptp.duplicatefreeP @t2)) % 34.04/34.84 (define @t51 () (tptp.app @t2 tptp.nil)) % 34.04/34.84 (define @t52 () (or @t47 (= @t51 @t2))) % 34.04/34.84 (define @t53 () (forall @t4 @t52)) % 34.04/34.84 (define @t54 () (tptp.app tptp.nil @t2)) % 34.04/34.84 (define @t55 () (or @t47 (= @t54 @t2))) % 34.04/34.84 (define @t56 () (forall @t4 @t55)) % 34.04/34.84 (define @t57 () (= tptp.nil @t2)) % 34.04/34.84 (define @t58 () (tptp.tl @t2)) % 34.04/34.84 (define @t59 () (tptp.hd @t2)) % 34.04/34.84 (define @t60 () (tptp.segmentP tptp.nil @t2)) % 34.04/34.84 (define @t61 () (not @t57)) % 34.04/34.84 (define @t62 () (or @t61 @t47 @t60)) % 34.04/34.84 (define @t63 () (forall @t4 @t62)) % 34.04/34.84 (define @t64 () (tptp.rearsegP tptp.nil @t2)) % 34.04/34.84 (define @t65 () (tptp.frontsegP tptp.nil @t2)) % 34.04/34.84 (define @t66 () (tptp.app @t40 @t2)) % 34.04/34.84 (define @t67 () (not (tptp.ssList @t40))) % 34.04/34.84 (define @t68 () (tptp.cons @t2 @t40)) % 34.04/34.84 (define @t69 () (tptp.cyclefreeP @t2)) % 34.04/34.84 (define @t70 () (tptp.equalelemsP @t2)) % 34.04/34.84 (define @t71 () (tptp.strictorderedP @t2)) % 34.04/34.84 (define @t72 () (tptp.totalorderedP @t2)) % 34.04/34.84 (define @t73 () (tptp.strictorderP @t2)) % 34.04/34.84 (define @t74 () (tptp.totalorderP @t2)) % 34.04/34.84 (define @t75 () (not (= @t68 tptp.nil))) % 34.04/34.84 (define @t76 () (or @t75 @t46 @t67)) % 34.04/34.84 (define @t77 () (forall @t41 @t76)) % 34.04/34.84 (define @t78 () (= @t40 @t2)) % 34.04/34.84 (define @t79 () (tptp.neq @t40 @t2)) % 34.04/34.84 (define @t80 () (or @t47 @t67 @t79 @t78)) % 34.04/34.84 (define @t81 () (forall @t41 @t80)) % 34.04/34.84 (define @t82 () (not @t49)) % 34.04/34.84 (define @t83 () (tptp.leq @t2 @t40)) % 34.04/34.84 (define @t84 () (tptp.lt @t2 @t40)) % 34.04/34.84 (define @t85 () (not @t84)) % 34.04/34.84 (define @t86 () (tptp.lt @t40 @t2)) % 34.04/34.84 (define @t87 () (not (tptp.gt @t2 @t40))) % 34.04/34.84 (define @t88 () (tptp.gt @t40 @t2)) % 34.04/34.84 (define @t89 () (tptp.leq @t40 @t2)) % 34.04/34.84 (define @t90 () (not (tptp.geq @t2 @t40))) % 34.04/34.84 (define @t91 () (tptp.geq @t40 @t2)) % 34.04/34.84 (define @t92 () (not @t83)) % 34.04/34.84 (define @t93 () (= @t2 @t40)) % 34.04/34.84 (define @t94 () (not @t93)) % 34.04/34.84 (define @t95 () (tptp.cons @t40 @t2)) % 34.04/34.84 (define @t96 () (not (tptp.neq @t2 @t40))) % 34.04/34.84 (define @t97 () (tptp.singletonP @t40)) % 34.04/34.84 (define @t98 () (not (= @t48 @t40))) % 34.04/34.84 (define @t99 () (or @t98 @t46 @t67 @t97)) % 34.04/34.84 (define @t100 () (forall @t41 @t99)) % 34.04/34.84 (define @t101 () (tptp.app @t2 @t40)) % 34.04/34.84 (define @t102 () (= @t101 tptp.nil)) % 34.04/34.84 (define @t103 () (not @t102)) % 34.04/34.84 (define @t104 () (or @t103 @t67 @t47 @t57)) % 34.04/34.84 (define @t105 () (forall @t41 @t104)) % 34.04/34.84 (define @t106 () (= tptp.nil @t40)) % 34.04/34.84 (define @t107 () (tptp.app @t48 @t40)) % 34.04/34.84 (define @t108 () (or @t46 @t67 (= @t107 @t68))) % 34.04/34.84 (define @t109 () (forall @t41 @t108)) % 34.04/34.84 (define @t110 () (tptp.hd @t40)) % 34.04/34.84 (define @t111 () (tptp.strictorderedP @t40)) % 34.04/34.84 (define @t112 () (tptp.strictorderedP @t68)) % 34.04/34.84 (define @t113 () (not @t112)) % 34.04/34.84 (define @t114 () (tptp.totalorderedP @t40)) % 34.04/34.84 (define @t115 () (tptp.totalorderedP @t68)) % 34.04/34.84 (define @t116 () (not @t115)) % 34.04/34.84 (define @t117 () (not (tptp.segmentP @t2 @t40))) % 34.04/34.84 (define @t118 () (not (tptp.rearsegP @t2 @t40))) % 34.04/34.84 (define @t119 () (not (tptp.frontsegP @t2 @t40))) % 34.04/34.84 (define @t120 () (not @t89)) % 34.04/34.84 (define @t121 () (tptp.app @t40 @t44)) % 34.04/34.84 (define @t122 () (or @t119 @t67 @t47 (= @t121 @t2))) % 34.04/34.84 (define @t123 () (forall @t41 @t122)) % 34.04/34.84 (define @t124 () (tptp.tl @t40)) % 34.04/34.84 (define @t125 () (tptp.lt @t2 @t110)) % 34.04/34.84 (define @t126 () (tptp.leq @t2 @t110)) % 34.04/34.84 (define @t127 () (@var "W" $$unsorted)) % 34.04/34.84 (define @t128 () (tptp.app @t127 @t2)) % 34.04/34.84 (define @t129 () (not (tptp.ssList @t127))) % 34.04/34.84 (define @t130 () (@list @t2 @t40 @t127)) % 34.04/34.84 (define @t131 () (tptp.app @t2 @t127)) % 34.04/34.84 (define @t132 () (tptp.cons @t40 @t127)) % 34.04/34.84 (define @t133 () (tptp.cons @t127 @t2)) % 34.04/34.84 (define @t134 () (not (tptp.ssItem @t127))) % 34.04/34.84 (define @t135 () (not (tptp.memberP @t2 @t40))) % 34.04/34.84 (define @t136 () (not (= @t101 @t127))) % 34.04/34.84 (define @t137 () (tptp.lt @t2 @t127)) % 34.04/34.84 (define @t138 () (not (tptp.lt @t40 @t127))) % 34.04/34.84 (define @t139 () (tptp.app @t127 @t40)) % 34.04/34.84 (define @t140 () (= @t40 @t127)) % 34.04/34.84 (define @t141 () (= @t2 @t127)) % 34.04/34.84 (define @t142 () (tptp.memberP @t40 @t127)) % 34.04/34.84 (define @t143 () (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2))) % 34.04/34.84 (define @t144 () (or @t117 @t67 @t47 (= @t143 @t2))) % 34.04/34.84 (define @t145 () (forall @t41 @t144)) % 34.04/34.84 (define @t146 () (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2)))) % 34.04/34.84 (define @t147 () (or @t135 @t82 @t47 (= @t146 @t2))) % 34.04/34.84 (define @t148 () (forall @t41 @t147)) % 34.04/34.84 (define @t149 () (@var "X" $$unsorted)) % 34.04/34.84 (define @t150 () (not (tptp.ssList @t149))) % 34.04/34.84 (define @t151 () (tptp.cons @t127 @t149)) % 34.04/34.84 (define @t152 () (not (= @t68 @t151))) % 34.04/34.84 (define @t153 () (@list @t2 @t40 @t127 @t149)) % 34.04/34.84 (define @t154 () (not (tptp.frontsegP @t68 @t151))) % 34.04/34.84 (define @t155 () (tptp.app @t2 @t132)) % 34.04/34.84 (define @t156 () (not (tptp.ssItem @t149))) % 34.04/34.84 (define @t157 () (@var "Y" $$unsorted)) % 34.04/34.84 (define @t158 () (not (tptp.ssList @t157))) % 34.04/34.84 (define @t159 () (@list @t2 @t40 @t127 @t149 @t157)) % 34.04/34.84 (define @t160 () (tptp.lt @t40 @t149)) % 34.04/34.84 (define @t161 () (@var "Z" $$unsorted)) % 34.04/34.84 (define @t162 () (not (tptp.ssList @t161))) % 34.04/34.84 (define @t163 () (not (= (tptp.app @t155 (tptp.cons @t149 @t157)) @t161))) % 34.04/34.84 (define @t164 () (@list @t2 @t40 @t127 @t149 @t157 @t161)) % 34.04/34.84 (define @t165 () (tptp.leq @t40 @t149)) % 34.04/34.84 (define @t166 () (tptp.ssList tptp.sk3)) % 34.04/34.84 (define @t167 () (tptp.ssList tptp.sk4)) % 34.04/34.84 (define @t168 () (= tptp.nil tptp.sk4)) % 34.04/34.84 (define @t169 () (not @t168)) % 34.04/34.84 (define @t170 () (= tptp.nil tptp.sk3)) % 34.04/34.84 (define @t171 () (tptp.neq tptp.sk4 tptp.nil)) % 34.04/34.84 (define @t172 () (not @t171)) % 34.04/34.84 (define @t173 () (tptp.ssItem tptp.sk5)) % 34.04/34.84 (define @t174 () (tptp.cons tptp.sk5 tptp.nil)) % 34.04/34.84 (define @t175 () (or (= @t174 tptp.sk3) @t172)) % 34.04/34.84 (define @t176 () (tptp.memberP tptp.sk4 tptp.sk5)) % 34.04/34.84 (define @t177 () (tptp.neq tptp.sk2 tptp.nil)) % 34.04/34.84 (define @t178 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 34.04/34.84 (define @t179 () (not @t178)) % 34.04/34.84 (define @t180 () (or @t179 @t177)) % 34.04/34.84 (define @t181 () (tptp.singletonP tptp.sk1)) % 34.04/34.84 (define @t182 () (not @t181)) % 34.04/34.84 (define @t183 () (or @t179 @t182)) % 34.04/34.84 (define @t184 () (@list tptp.sk3)) % 34.04/34.84 (define @t185 () (= tptp.sk3 (tptp.app tptp.sk3 tptp.nil))) % 34.04/34.84 (define @t186 () (not @t166)) % 34.04/34.84 (define @t187 () (or @t186 @t185)) % 34.04/34.84 (define @t188 () (@list false false)) % 34.04/34.84 (define @t189 () (tptp.app tptp.nil tptp.sk3)) % 34.04/34.84 (define @t190 () (= tptp.sk3 @t189)) % 34.04/34.84 (define @t191 () (or @t186 @t190)) % 34.04/34.84 (define @t192 () (tptp.skaf48 tptp.nil tptp.nil)) % 34.04/34.84 (define @t193 () (tptp.skaf47 tptp.nil tptp.nil)) % 34.04/34.84 (define @t194 () (tptp.app @t193 tptp.nil)) % 34.04/34.84 (define @t195 () (@list tptp.nil tptp.nil)) % 34.04/34.84 (define @t196 () (tptp.ssList @t194)) % 34.04/34.84 (define @t197 () (tptp.ssList @t193)) % 34.04/34.84 (define @t198 () (not @t197)) % 34.04/34.84 (define @t199 () (not @t1)) % 34.04/34.84 (define @t200 () (or @t199 @t198 @t196)) % 34.04/34.84 (define @t201 () (@list false false false)) % 34.04/34.84 (define @t202 () (tptp.segmentP tptp.nil tptp.nil)) % 34.04/34.84 (define @t203 () (not (= tptp.nil tptp.nil))) % 34.04/34.84 (define @t204 () (or @t203 @t199 @t202)) % 34.04/34.84 (define @t205 () (or @t61 @t61 @t47 @t60)) % 34.04/34.84 (define @t206 () (@list false)) % 34.04/34.84 (define @t207 () (= tptp.nil (tptp.app @t194 @t192))) % 34.04/34.84 (define @t208 () (not @t202)) % 34.04/34.84 (define @t209 () (or @t208 @t199 @t199 @t207)) % 34.04/34.84 (define @t210 () (= tptp.nil @t194)) % 34.04/34.84 (define @t211 () (not @t196)) % 34.04/34.84 (define @t212 () (tptp.ssList @t192)) % 34.04/34.84 (define @t213 () (not @t212)) % 34.04/34.84 (define @t214 () (not @t207)) % 34.04/34.84 (define @t215 () (or @t214 @t213 @t211 @t210)) % 34.04/34.84 (define @t216 () (@list false false false false)) % 34.04/34.84 (define @t217 () (@list tptp.sk4)) % 34.04/34.84 (define @t218 () (tptp.segmentP tptp.sk4 tptp.nil)) % 34.04/34.84 (define @t219 () (not @t167)) % 34.04/34.84 (define @t220 () (or @t219 @t218)) % 34.04/34.84 (define @t221 () (tptp.segmentP tptp.sk4 tptp.sk3)) % 34.04/34.84 (define @t222 () (and @t170 @t218)) % 34.04/34.84 (define @t223 () (not @t170)) % 34.04/34.84 (define @t224 () (not @t221)) % 34.04/34.84 (define @t225 () (= tptp.sk3 @t174)) % 34.04/34.84 (define @t226 () (not @t173)) % 34.04/34.84 (define @t227 () (= tptp.nil @t174)) % 34.04/34.84 (define @t228 () (not @t227)) % 34.04/34.84 (define @t229 () (or @t228 @t226 @t199)) % 34.04/34.84 (define @t230 () (and @t170 @t225)) % 34.04/34.84 (define @t231 () (or @t199 @t219 @t171 @t168)) % 34.04/34.84 (define @t232 () (@list @t171)) % 34.04/34.84 (define @t233 () (tptp.skaf43 tptp.sk5 tptp.sk4)) % 34.04/34.84 (define @t234 () (@list tptp.sk5 @t233)) % 34.04/34.84 (define @t235 () (tptp.app @t174 @t233)) % 34.04/34.84 (define @t236 () (tptp.cons tptp.sk5 @t233)) % 34.04/34.84 (define @t237 () (= @t236 @t235)) % 34.04/34.84 (define @t238 () (tptp.ssList @t233)) % 34.04/34.84 (define @t239 () (not @t238)) % 34.04/34.84 (define @t240 () (or @t226 @t239 @t237)) % 34.04/34.84 (define @t241 () (tptp.skaf42 tptp.sk4 tptp.sk5)) % 34.04/34.84 (define @t242 () (tptp.skaf45 tptp.sk4 tptp.sk4)) % 34.04/34.84 (define @t243 () (@list tptp.sk4 tptp.sk5)) % 34.04/34.84 (define @t244 () (tptp.app @t241 @t236)) % 34.04/34.84 (define @t245 () (= tptp.sk4 @t244)) % 34.04/34.84 (define @t246 () (not @t176)) % 34.04/34.84 (define @t247 () (or @t246 @t226 @t219 @t245)) % 34.04/34.84 (define @t248 () (@list tptp.sk4 tptp.sk4)) % 34.04/34.84 (define @t249 () (tptp.frontsegP tptp.sk4 tptp.sk4)) % 34.04/34.84 (define @t250 () (or @t219 @t249)) % 34.04/34.84 (define @t251 () (= tptp.sk4 (tptp.app tptp.sk4 @t242))) % 34.04/34.84 (define @t252 () (not @t249)) % 34.04/34.84 (define @t253 () (or @t252 @t219 @t219 @t251)) % 34.04/34.84 (define @t254 () (tptp.singletonP @t48)) % 34.04/34.84 (define @t255 () (not (tptp.ssList @t48))) % 34.04/34.84 (define @t256 () (not (= @t48 @t48))) % 34.04/34.84 (define @t257 () (or @t256 @t46 @t255 @t254)) % 34.04/34.84 (define @t258 () (not (= @t40 @t48))) % 34.04/34.84 (define @t259 () (or @t258 @t258 @t46 @t67 @t97)) % 34.04/34.84 (define @t260 () (@list @t40)) % 34.04/34.84 (define @t261 () (or @t258 @t46 @t67 @t97)) % 34.04/34.84 (define @t262 () (forall @t260 @t261)) % 34.04/34.84 (define @t263 () (forall @t4 @t262)) % 34.04/34.84 (define @t264 () (tptp.ssList @t174)) % 34.04/34.84 (define @t265 () (and @t166 @t225)) % 34.04/34.84 (define @t266 () (tptp.singletonP @t174)) % 34.04/34.84 (define @t267 () (not @t264)) % 34.04/34.84 (define @t268 () (or @t226 @t267 @t266)) % 34.04/34.84 (define @t269 () (tptp.singletonP tptp.sk3)) % 34.04/34.84 (define @t270 () (and @t225 @t266)) % 34.04/34.84 (define @t271 () (not @t225)) % 34.04/34.84 (define @t272 () (tptp.app @t244 @t242)) % 34.04/34.84 (define @t273 () (tptp.segmentP @t272 tptp.sk3)) % 34.04/34.84 (define @t274 () (not @t273)) % 34.04/34.84 (define @t275 () (not @t245)) % 34.04/34.84 (define @t276 () (not @t251)) % 34.04/34.84 (define @t277 () (and @t224 @t251 @t245)) % 34.04/34.84 (define @t278 () (tptp.ssList @t236)) % 34.04/34.84 (define @t279 () (or @t226 @t239 @t278)) % 34.04/34.84 (define @t280 () (not @t278)) % 34.04/34.84 (define @t281 () (tptp.ssList @t241)) % 34.04/34.84 (define @t282 () (not @t281)) % 34.04/34.84 (define @t283 () (tptp.ssList @t242)) % 34.04/34.84 (define @t284 () (not @t283)) % 34.04/34.84 (define @t285 () (tptp.segmentP @t236 tptp.sk3)) % 34.04/34.84 (define @t286 () (not @t285)) % 34.04/34.84 (define @t287 () (or @t286 @t284 @t282 @t186 @t280 @t273)) % 34.04/34.84 (define @t288 () (tptp.segmentP tptp.sk3 tptp.sk3)) % 34.04/34.84 (define @t289 () (or @t186 @t288)) % 34.04/34.84 (define @t290 () (tptp.segmentP (tptp.app @t189 @t233) tptp.sk3)) % 34.04/34.84 (define @t291 () (not @t288)) % 34.04/34.84 (define @t292 () (or @t291 @t239 @t199 @t186 @t186 @t290)) % 34.04/34.84 (define @t293 () (not @t290)) % 34.04/34.84 (define @t294 () (not @t237)) % 34.04/34.84 (define @t295 () (not @t210)) % 34.04/34.84 (define @t296 () (not @t190)) % 34.04/34.84 (define @t297 () (not @t185)) % 34.04/34.84 (define @t298 () (and @t290 @t190 @t185 @t225 @t210 @t237 @t286)) % 34.04/34.84 (assume @p1 (tptp.equalelemsP tptp.nil)) % 34.04/34.84 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 34.04/34.84 (assume @p3 (tptp.strictorderedP tptp.nil)) % 34.04/34.84 (assume @p4 (tptp.totalorderedP tptp.nil)) % 34.04/34.84 (assume @p5 (tptp.strictorderP tptp.nil)) % 34.04/34.84 (assume @p6 (tptp.totalorderP tptp.nil)) % 34.04/34.84 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 34.04/34.84 (assume @p8 @t1) % 34.04/34.84 (assume @p9 (tptp.ssItem tptp.skac3)) % 34.04/34.84 (assume @p10 (tptp.ssItem tptp.skac2)) % 34.04/34.84 (assume @p11 (not (tptp.singletonP tptp.nil))) % 34.04/34.84 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 34.04/34.84 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 34.04/34.84 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 34.04/34.84 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 34.04/34.84 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 34.04/34.84 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 34.04/34.84 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 34.04/34.84 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 34.04/34.84 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 34.04/34.84 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 34.04/34.84 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 34.04/34.84 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 34.04/34.84 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 34.04/34.84 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 34.04/34.84 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 34.04/34.84 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 34.04/34.84 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 34.04/34.84 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 34.04/34.84 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 34.04/34.84 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 34.04/34.84 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 34.04/34.84 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 34.04/34.84 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 34.04/34.84 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 34.04/34.84 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 34.04/34.84 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 34.04/34.84 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 34.04/34.84 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 34.04/34.84 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 34.04/34.84 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 34.04/34.84 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 34.04/34.84 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 34.04/34.84 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 34.04/34.84 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 34.04/34.84 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 34.04/34.84 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 34.04/34.84 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 34.04/34.84 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 34.04/34.84 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 34.04/34.84 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 34.04/34.84 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 34.04/34.84 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 34.04/34.84 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 34.04/34.84 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 34.04/34.84 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 34.04/34.84 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 34.04/34.84 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 34.04/34.84 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 34.04/34.84 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 34.04/34.84 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 34.04/34.84 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 34.04/34.84 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 34.04/34.84 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 34.04/34.84 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 34.04/34.84 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 34.04/34.84 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 34.04/34.84 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 34.04/34.84 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 34.04/34.84 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 34.04/34.84 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 34.04/34.84 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 34.04/34.84 (assume @p73 @t53) % 34.04/34.84 (assume @p74 @t56) % 34.04/34.84 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t58) @t57))) % 34.04/34.84 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t59) @t57))) % 34.04/34.84 (assume @p77 @t63) % 34.04/34.84 (assume @p78 (forall @t4 (or (not @t60) @t47 @t57))) % 34.04/34.84 (assume @p79 (forall @t4 (or @t61 @t47 @t64))) % 34.04/34.84 (assume @p80 (forall @t4 (or (not @t64) @t47 @t57))) % 34.04/34.84 (assume @p81 (forall @t4 (or @t61 @t47 @t65))) % 34.04/34.84 (assume @p82 (forall @t4 (or (not @t65) @t47 @t57))) % 34.04/34.84 (assume @p83 (forall @t41 (or @t47 @t67 (tptp.ssList @t66)))) % 34.04/34.84 (assume @p84 (forall @t41 (or @t46 @t67 (tptp.ssList @t68)))) % 34.04/34.84 (assume @p85 (forall @t4 (or @t47 @t69 (tptp.leq @t37 @t38)))) % 34.04/34.84 (assume @p86 (forall @t4 (or @t47 @t69 (tptp.leq @t38 @t37)))) % 34.04/34.84 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t70))) % 34.04/34.84 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t71))) % 34.04/34.84 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t72))) % 34.04/34.84 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t73))) % 34.04/34.84 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t73))) % 34.04/34.84 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t74))) % 34.04/34.84 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t74))) % 34.04/34.84 (assume @p94 (forall @t41 (or @t46 @t67 (= (tptp.tl @t68) @t40)))) % 34.04/34.84 (assume @p95 (forall @t41 (or @t46 @t67 (= (tptp.hd @t68) @t2)))) % 34.04/34.84 (assume @p96 @t77) % 34.04/34.84 (assume @p97 (forall @t41 (or (not (= @t68 @t40)) @t46 @t67))) % 34.04/34.84 (assume @p98 @t81) % 34.04/34.84 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 34.04/34.84 (assume @p100 (forall @t41 (or @t46 @t82 @t79 @t78))) % 34.04/34.84 (assume @p101 (forall @t41 (or @t85 @t82 @t46 @t83))) % 34.04/34.84 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t59 @t58) @t2) @t57))) % 34.04/34.84 (assume @p103 (forall @t41 (or @t87 @t82 @t46 @t86))) % 34.04/34.84 (assume @p104 (forall @t41 (or @t85 @t46 @t82 @t88))) % 34.04/34.84 (assume @p105 (forall @t41 (or @t90 @t82 @t46 @t89))) % 34.04/34.84 (assume @p106 (forall @t41 (or @t92 @t46 @t82 @t91))) % 34.04/34.84 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t57))) % 34.04/34.84 (assume @p108 (forall @t41 (or @t87 (not @t88) @t46 @t82))) % 34.04/34.84 (assume @p109 (forall @t41 (or @t94 @t85 @t82 @t46))) % 34.04/34.84 (assume @p110 (forall @t41 (or @t61 @t47 @t82 (tptp.strictorderedP @t95)))) % 34.04/34.84 (assume @p111 (forall @t41 (or @t61 @t47 @t82 (tptp.totalorderedP @t95)))) % 34.04/34.84 (assume @p112 (forall @t41 (or @t85 (not @t86) @t46 @t82))) % 34.04/34.84 (assume @p113 (forall @t41 (or @t94 @t96 @t67 @t47))) % 34.04/34.84 (assume @p114 @t100) % 34.04/34.84 (assume @p115 (forall @t41 (or @t94 @t96 @t82 @t46))) % 34.04/34.84 (assume @p116 @t105) % 34.04/34.84 (assume @p117 (forall @t41 (or @t103 @t67 @t47 @t106))) % 34.04/34.84 (assume @p118 @t109) % 34.04/34.84 (assume @p119 (forall @t41 (or @t92 @t82 @t46 @t84 @t93))) % 34.04/34.84 (assume @p120 (forall @t41 (or @t47 @t67 @t106 (= (tptp.hd @t66) @t110)))) % 34.04/34.84 (assume @p121 (forall @t41 (or @t113 @t67 @t46 @t111 @t106))) % 34.04/34.84 (assume @p122 (forall @t41 (or @t116 @t67 @t46 @t114 @t106))) % 34.04/34.84 (assume @p123 (forall @t41 (or @t90 (not @t91) @t46 @t82 @t78))) % 34.04/34.84 (assume @p124 (forall @t41 (or @t117 (not (tptp.segmentP @t40 @t2)) @t47 @t67 @t78))) % 34.04/34.84 (assume @p125 (forall @t41 (or @t118 (not (tptp.rearsegP @t40 @t2)) @t47 @t67 @t78))) % 34.04/34.84 (assume @p126 (forall @t41 (or @t119 (not (tptp.frontsegP @t40 @t2)) @t47 @t67 @t78))) % 34.04/34.84 (assume @p127 (forall @t41 (or @t92 @t120 @t46 @t82 @t78))) % 34.04/34.84 (assume @p128 (forall @t41 (or @t118 @t67 @t47 (= (tptp.app @t43 @t40) @t2)))) % 34.04/34.84 (assume @p129 @t123) % 34.04/34.84 (assume @p130 (forall @t41 (or @t47 @t67 @t106 (= (tptp.tl @t66) (tptp.app @t124 @t2))))) % 34.04/34.84 (assume @p131 (forall @t41 (or @t113 @t67 @t46 @t125 @t106))) % 34.04/34.84 (assume @p132 (forall @t41 (or @t116 @t67 @t46 @t126 @t106))) % 34.04/34.84 (assume @p133 (forall @t130 (or @t118 @t129 @t67 @t47 (tptp.rearsegP @t128 @t40)))) % 34.04/34.84 (assume @p134 (forall @t130 (or @t119 @t129 @t67 @t47 (tptp.frontsegP @t131 @t40)))) % 34.04/34.84 (assume @p135 (forall @t130 (or @t94 @t129 @t82 @t46 (tptp.memberP @t132 @t2)))) % 34.04/34.84 (assume @p136 (forall @t130 (or @t135 @t47 @t134 @t82 (tptp.memberP @t133 @t40)))) % 34.04/34.84 (assume @p137 (forall @t130 (or @t135 @t129 @t47 @t82 (tptp.memberP @t131 @t40)))) % 34.04/34.84 (assume @p138 (forall @t130 (or @t135 @t47 @t129 @t82 (tptp.memberP @t128 @t40)))) % 34.04/34.84 (assume @p139 (forall @t4 (or @t47 @t70 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 34.04/34.84 (assume @p140 (forall @t130 (or @t136 @t47 @t67 @t129 (tptp.rearsegP @t127 @t40)))) % 34.04/34.84 (assume @p141 (forall @t130 (or @t136 @t67 @t47 @t129 (tptp.frontsegP @t127 @t2)))) % 34.04/34.84 (assume @p142 (forall @t41 (or @t61 (not @t106) @t67 @t47 @t102))) % 34.04/34.84 (assume @p143 (forall @t130 (or @t87 (not (tptp.gt @t40 @t127)) @t134 @t82 @t46 (tptp.gt @t2 @t127)))) % 34.04/34.84 (assume @p144 (forall @t130 (or @t92 @t138 @t134 @t82 @t46 @t137))) % 34.04/34.84 (assume @p145 (forall @t130 (or @t90 (not (tptp.geq @t40 @t127)) @t134 @t82 @t46 (tptp.geq @t2 @t127)))) % 34.04/34.84 (assume @p146 (forall @t130 (or @t47 @t67 @t129 (= (tptp.app @t139 @t2) (tptp.app @t127 @t66))))) % 34.04/34.84 (assume @p147 (forall @t130 (or (not (= @t101 @t131)) @t67 @t47 @t129 @t140))) % 34.04/34.84 (assume @p148 (forall @t130 (or (not (= @t101 @t139)) @t47 @t67 @t129 @t141))) % 34.04/34.84 (assume @p149 (forall @t130 (or @t117 (not (tptp.segmentP @t40 @t127)) @t129 @t67 @t47 (tptp.segmentP @t2 @t127)))) % 34.04/34.84 (assume @p150 (forall @t130 (or @t118 (not (tptp.rearsegP @t40 @t127)) @t129 @t67 @t47 (tptp.rearsegP @t2 @t127)))) % 34.04/34.84 (assume @p151 (forall @t130 (or @t119 (not (tptp.frontsegP @t40 @t127)) @t129 @t67 @t47 (tptp.frontsegP @t2 @t127)))) % 34.04/34.84 (assume @p152 (forall @t130 (or @t85 @t138 @t134 @t82 @t46 @t137))) % 34.04/34.84 (assume @p153 (forall @t130 (or @t92 (not (tptp.leq @t40 @t127)) @t134 @t82 @t46 (tptp.leq @t2 @t127)))) % 34.04/34.84 (assume @p154 (forall @t130 (or @t46 @t67 @t129 (= (tptp.cons @t2 (tptp.app @t40 @t127)) (tptp.app @t68 @t127))))) % 34.04/34.84 (assume @p155 (forall @t130 (or (not (tptp.memberP @t101 @t127)) @t67 @t47 @t134 @t142 (tptp.memberP @t2 @t127)))) % 34.04/34.84 (assume @p156 (forall @t41 (or (not @t126) (not @t114) @t67 @t46 @t115 @t106))) % 34.04/34.84 (assume @p157 (forall @t41 (or (not @t125) (not @t111) @t67 @t46 @t112 @t106))) % 34.04/34.84 (assume @p158 (forall @t130 (or (not (tptp.memberP @t68 @t127)) @t67 @t46 @t134 @t142 (= @t127 @t2)))) % 34.04/34.84 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 34.04/34.84 (assume @p160 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 34.04/34.84 (assume @p161 (forall @t4 (or @t47 @t72 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 34.04/34.84 (assume @p162 (forall @t4 (or @t47 @t73 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 34.04/34.84 (assume @p163 (forall @t4 (or @t47 @t74 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 34.04/34.84 (assume @p164 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 34.04/34.84 (assume @p165 @t145) % 34.04/34.84 (assume @p166 @t148) % 34.04/34.84 (assume @p167 (forall @t153 (or @t152 @t134 @t46 @t150 @t67 @t141))) % 34.04/34.84 (assume @p168 (forall @t153 (or @t152 @t134 @t46 @t150 @t67 (= @t149 @t40)))) % 34.04/34.84 (assume @p169 (forall @t153 (or @t117 @t129 @t150 @t67 @t47 (tptp.segmentP (tptp.app (tptp.app @t149 @t2) @t127) @t40)))) % 34.04/34.84 (assume @p170 (forall @t153 (or (not (= (tptp.app @t101 @t127) @t149)) @t129 @t47 @t67 @t150 (tptp.segmentP @t149 @t40)))) % 34.04/34.84 (assume @p171 (forall @t153 (or @t154 @t150 @t67 @t134 @t46 (tptp.frontsegP @t40 @t149)))) % 34.04/34.84 (assume @p172 (forall @t153 (or (not (= @t155 @t149)) @t129 @t47 @t82 @t150 (tptp.memberP @t149 @t40)))) % 34.04/34.84 (assume @p173 (forall @t153 (or @t154 @t150 @t67 @t134 @t46 @t141))) % 34.04/34.84 (assume @p174 (forall @t41 (or (not (= @t58 @t124)) (not (= @t59 @t110)) @t47 @t67 @t106 @t93 @t57))) % 34.04/34.84 (assume @p175 (forall @t153 (or @t119 (not (= @t127 @t149)) @t67 @t47 @t156 @t134 (tptp.frontsegP @t133 (tptp.cons @t149 @t40))))) % 34.04/34.84 (assume @p176 (forall @t159 (or (not (= (tptp.app @t155 (tptp.cons @t40 @t149)) @t157)) @t150 @t129 @t47 @t82 (not (tptp.duplicatefreeP @t157)) @t158))) % 34.04/34.84 (assume @p177 (forall @t159 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t151)) @t157)) @t150 @t47 @t134 @t82 (not (tptp.equalelemsP @t157)) @t158 @t140))) % 34.04/34.84 (assume @p178 (forall @t164 (or @t163 @t158 @t129 @t47 @t156 @t82 (not (tptp.strictorderedP @t161)) @t162 @t160))) % 34.04/34.84 (assume @p179 (forall @t164 (or @t163 @t158 @t129 @t47 @t156 @t82 (not (tptp.totalorderedP @t161)) @t162 @t165))) % 34.04/34.84 (assume @p180 (forall @t164 (or @t163 @t158 @t129 @t47 @t156 @t82 (not (tptp.strictorderP @t161)) @t162 @t160 (tptp.lt @t149 @t40)))) % 34.04/34.84 (assume @p181 (forall @t164 (or @t163 @t158 @t129 @t47 @t156 @t82 (not (tptp.totalorderP @t161)) @t162 @t165 (tptp.leq @t149 @t40)))) % 34.04/34.84 (assume @p182 (forall @t164 (or @t92 @t120 (not (= (tptp.app (tptp.app @t127 (tptp.cons @t2 @t149)) (tptp.cons @t40 @t157)) @t161)) @t158 @t150 @t129 @t82 @t46 (not (tptp.cyclefreeP @t161)) @t162))) % 34.04/34.84 (assume @p183 (tptp.ssList tptp.sk1)) % 34.04/34.84 (assume @p184 (tptp.ssList tptp.sk2)) % 34.04/34.84 (assume @p185 @t166) % 34.04/34.84 (assume @p186 @t167) % 34.04/34.84 (assume @p187 (= tptp.sk2 tptp.sk4)) % 34.04/34.84 (assume @p188 (= tptp.sk1 tptp.sk3)) % 34.04/34.84 (assume @p189 (or @t170 @t169)) % 34.04/34.84 (assume @p190 (or @t173 @t172)) % 34.04/34.84 (assume @p191 @t175) % 34.04/34.84 (assume @p192 (or @t176 @t172)) % 34.04/34.84 (assume @p193 @t180) % 34.04/34.84 (assume @p194 @t183) % 34.04/34.84 (step @p195 :rule eq-symm :args (@t51 @t2)) % 34.04/34.84 (step @p196 :rule refl :args (@t47)) % 34.04/34.84 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t52)) % 34.04/34.84 (step @p198 :rule cong :premises (@p197) :args (@t53)) % 34.04/34.84 (step @p199 :rule eq_resolve :premises (@p73 @p198)) % 34.04/34.84 (step @p200 :rule instantiate :premises (@p199) :args (@t184)) % 34.04/34.84 (step @p201 :rule cnf_or_pos :args (@t187)) % 34.04/34.84 (step @p202 :rule reordering :premises (@p201) :args ((or @t186 @t185 (not @t187)))) % 34.04/34.84 (step @p203 :rule chain_m_resolution :premises (@p202 @p185 @p200) :args (@t185 @t188 (@list @t166 @t187))) % 34.04/34.84 (step @p204 :rule eq-symm :args (@t54 @t2)) % 34.04/34.84 (step @p205 :rule nary_cong :premises (@p196 @p204) :args (@t55)) % 34.04/34.84 (step @p206 :rule cong :premises (@p205) :args (@t56)) % 34.04/34.84 (step @p207 :rule eq_resolve :premises (@p74 @p206)) % 34.04/34.84 (step @p208 :rule instantiate :premises (@p207) :args (@t184)) % 34.04/34.84 (step @p209 :rule cnf_or_pos :args (@t191)) % 34.04/34.84 (step @p210 :rule reordering :premises (@p209) :args ((or @t186 @t190 (not @t191)))) % 34.04/34.84 (step @p211 :rule chain_m_resolution :premises (@p210 @p185 @p208) :args (@t190 @t188 (@list @t166 @t191))) % 34.04/34.84 (step @p212 :rule refl :args (@t57)) % 34.04/34.84 (step @p213 :rule refl :args (@t67)) % 34.04/34.84 (step @p214 :rule eq-symm :args (@t101 tptp.nil)) % 34.04/34.84 (step @p215 :rule cong :premises (@p214) :args (@t103)) % 34.04/34.84 (step @p216 :rule nary_cong :premises (@p215 @p213 @p196 @p212) :args (@t104)) % 34.04/34.84 (step @p217 :rule cong :premises (@p216) :args (@t105)) % 34.04/34.84 (step @p218 :rule eq_resolve :premises (@p116 @p217)) % 34.04/34.84 (step @p219 :rule instantiate :premises (@p218) :args ((@list @t194 @t192))) % 34.04/34.84 (step @p220 :rule instantiate :premises (@p83) :args ((@list tptp.nil @t193))) % 34.04/34.84 (step @p221 :rule instantiate :premises (@p49) :args (@t195)) % 34.04/34.84 (step @p222 :rule cnf_or_pos :args (@t200)) % 34.04/34.84 (step @p223 :rule reordering :premises (@p222) :args ((or @t199 @t198 @t196 (not @t200)))) % 34.04/34.84 (step @p224 :rule chain_m_resolution :premises (@p223 @p8 @p221 @p220) :args (@t196 @t201 (@list @t1 @t197 @t200))) % 34.04/34.84 (step @p225 :rule instantiate :premises (@p48) :args (@t195)) % 34.04/34.84 (step @p226 :rule eq-symm :args (@t143 @t2)) % 34.04/34.84 (step @p227 :rule refl :args (@t117)) % 34.04/34.84 (step @p228 :rule nary_cong :premises (@p227 @p213 @p196 @p226) :args (@t144)) % 34.04/34.84 (step @p229 :rule cong :premises (@p228) :args (@t145)) % 34.04/34.84 (step @p230 :rule eq_resolve :premises (@p165 @p229)) % 34.04/34.84 (step @p231 :rule instantiate :premises (@p230) :args (@t195)) % 34.04/34.84 (step @p232 :rule aci_norm :args ((= (or false @t199 @t202) (or @t199 @t202)))) % 34.04/34.84 (step @p233 :rule refl :args (@t202)) % 34.04/34.84 (step @p234 :rule refl :args (@t199)) % 34.04/34.84 (step @p235 :rule evaluate :args ((not true))) % 34.04/34.84 (step @p236 :rule eq-refl :args (tptp.nil)) % 34.04/34.84 (step @p237 :rule cong :premises (@p236) :args (@t203)) % 34.04/34.84 (step @p238 :rule trans :premises (@p237 @p235)) % 34.04/34.84 (step @p239 :rule nary_cong :premises (@p238 @p234 @p233) :args (@t204)) % 34.04/34.84 (step @p240 :rule trans :premises (@p239 @p232)) % 34.04/34.84 (step @p241 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t61 @t47 @t60)) @t204))) % 34.04/34.84 (step @p242 :rule refl :args (@t60)) % 34.04/34.84 (step @p243 :rule refl :args (@t47)) % 34.04/34.84 (step @p244 :rule refl :args (@t61)) % 34.04/34.84 (step @p245 :rule eq-symm :args (tptp.nil @t2)) % 34.04/34.84 (step @p246 :rule cong :premises (@p245) :args (@t61)) % 34.04/34.84 (step @p247 :rule nary_cong :premises (@p246 @p244 @p243 @p242) :args (@t205)) % 34.04/34.84 (step @p248 :rule aci_norm :args ((= @t62 @t205))) % 34.04/34.84 (step @p249 :rule trans :premises (@p248 @p247)) % 34.04/34.84 (step @p250 :rule cong :premises (@p249) :args (@t63)) % 34.04/34.84 (step @p251 :rule trans :premises (@p250 @p241)) % 34.04/34.84 (step @p252 :rule trans :premises (@p251 @p240)) % 34.04/34.84 (step @p253 :rule eq_resolve :premises (@p77 @p252)) % 34.04/34.84 (step @p254 :rule chain_m_resolution :premises (@p253 @p8) :args (@t202 @t206 (@list @t1))) % 34.04/34.84 (step @p255 :rule cnf_or_pos :args (@t209)) % 34.04/34.84 (step @p256 :rule factoring :premises (@p255)) % 34.04/34.84 (step @p257 :rule reordering :premises (@p256) :args ((or @t199 @t208 @t207 (not @t209)))) % 34.04/34.84 (step @p258 :rule chain_m_resolution :premises (@p257 @p8 @p254 @p231) :args (@t207 @t201 (@list @t1 @t202 @t209))) % 34.04/34.84 (step @p259 :rule cnf_or_pos :args (@t215)) % 34.04/34.84 (step @p260 :rule reordering :premises (@p259) :args ((or @t214 @t210 @t213 @t211 (not @t215)))) % 34.04/34.84 (step @p261 :rule chain_m_resolution :premises (@p260 @p258 @p225 @p224 @p219) :args (@t210 @t216 (@list @t207 @t212 @t196 @t215))) % 34.04/34.84 (step @p262 :rule eq-symm :args (@t40 @t2)) % 34.04/34.84 (step @p263 :rule refl :args (@t79)) % 34.04/34.84 (step @p264 :rule nary_cong :premises (@p196 @p213 @p263 @p262) :args (@t80)) % 34.04/34.84 (step @p265 :rule cong :premises (@p264) :args (@t81)) % 34.04/34.84 (step @p266 :rule eq_resolve :premises (@p98 @p265)) % 34.04/34.84 (step @p267 :rule instantiate :premises (@p266) :args ((@list tptp.nil tptp.sk4))) % 34.04/34.84 (step @p268 :rule instantiate :premises (@p56) :args (@t217)) % 34.04/34.84 (step @p269 :rule cnf_or_pos :args (@t220)) % 34.04/34.84 (step @p270 :rule reordering :premises (@p269) :args ((or @t219 @t218 (not @t220)))) % 34.04/34.84 (step @p271 :rule chain_m_resolution :premises (@p270 @p186 @p268) :args (@t218 @t188 (@list @t167 @t220))) % 34.04/34.84 (assume-push @p568 @t170) % 34.04/34.84 (assume-push @p569 @t218) % 34.04/34.84 (assume-push @p570 @t218) % 34.04/34.84 (assume-push @p571 @t170) % 34.04/34.84 (step @p276 :rule true_intro :premises (@p271)) % 34.04/34.84 (step @p277 :rule symm :premises (@p568)) % 34.04/34.84 (step @p278 :rule refl :args (tptp.sk4)) % 34.04/34.84 (step @p279 :rule cong :premises (@p278 @p277) :args (@t221)) % 34.04/34.84 (step @p280 :rule trans :premises (@p279 @p276)) % 34.04/34.84 (step @p281 :rule true_elim :premises (@p280)) % 34.04/34.84 (step-pop @p572 :rule scope :premises (@p281)) % 34.04/34.84 (step-pop @p573 :rule scope :premises (@p572)) % 34.04/34.84 (step @p282 :rule process_scope :premises (@p573) :args (@t221)) % 34.04/34.84 (step @p285 :rule and_intro :premises (@p271 @p568)) % 34.04/34.84 (step @p286 :rule modus_ponens :premises (@p285 @p282)) % 34.04/34.84 (step-pop @p574 :rule scope :premises (@p286)) % 34.04/34.84 (step-pop @p575 :rule scope :premises (@p574)) % 34.04/34.84 (step @p287 :rule process_scope :premises (@p575) :args (@t221)) % 34.04/34.84 (step @p290 :rule implies_elim :premises (@p287)) % 34.04/34.84 (step @p291 :rule cnf_and_neg :args (@t222)) % 34.04/34.84 (step @p292 :rule resolution :premises (@p291 @p290) :args (true @t222)) % 34.04/34.84 (step @p293 :rule reordering :premises (@p292) :args ((or @t221 @t223 (not @t218)))) % 34.04/34.84 (step @p294 :rule refl :args (tptp.nil)) % 34.04/34.84 (step @p295 :rule cong :premises (@p187 @p294) :args (@t177)) % 34.04/34.84 (step @p296 :rule cong :premises (@p187 @p188) :args (@t178)) % 34.04/34.84 (step @p297 :rule cong :premises (@p296) :args (@t179)) % 34.04/34.84 (step @p298 :rule nary_cong :premises (@p297 @p295) :args (@t180)) % 34.04/34.84 (step @p299 :rule eq_resolve :premises (@p193 @p298)) % 34.04/34.84 (step @p300 :rule reordering :premises (@p299) :args ((or @t171 @t224))) % 34.04/34.84 (step @p301 :rule refl :args (@t172)) % 34.04/34.84 (step @p302 :rule eq-symm :args (@t174 tptp.sk3)) % 34.04/34.84 (step @p303 :rule nary_cong :premises (@p302 @p301) :args (@t175)) % 34.04/34.84 (step @p304 :rule eq_resolve :premises (@p191 @p303)) % 34.04/34.84 (step @p305 :rule reordering :premises (@p304) :args ((or @t172 @t225))) % 34.04/34.84 (step @p306 :rule refl :args (@t46)) % 34.04/34.84 (step @p307 :rule eq-symm :args (@t68 tptp.nil)) % 34.04/34.84 (step @p308 :rule cong :premises (@p307) :args (@t75)) % 34.04/34.84 (step @p309 :rule nary_cong :premises (@p308 @p306 @p213) :args (@t76)) % 34.04/34.84 (step @p310 :rule cong :premises (@p309) :args (@t77)) % 34.04/34.84 (step @p311 :rule eq_resolve :premises (@p96 @p310)) % 34.04/34.84 (step @p312 :rule instantiate :premises (@p311) :args ((@list tptp.sk5 tptp.nil))) % 34.04/34.84 (step @p313 :rule cnf_or_pos 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(assume-push @p614 @t185) % 34.04/34.84 (assume-push @p615 @t225) % 34.04/34.84 (assume-push @p616 @t210) % 34.04/34.84 (assume-push @p617 @t237) % 34.04/34.84 (assume-push @p618 @t286) % 34.04/34.84 (step @p519 :rule evaluate :args ((= false true))) % 34.04/34.84 (step @p520 :rule true_intro :premises (@p503)) % 34.04/34.84 (step @p462 :rule refl :args (tptp.sk3)) % 34.04/34.84 (step @p521 :rule refl :args (@t233)) % 34.04/34.84 (step @p522 :rule symm :premises (@p203)) % 34.04/34.84 (step @p523 :rule trans :premises (@p522 @p211)) % 34.04/34.84 (step @p524 :rule symm :premises (@p615)) % 34.04/34.84 (step @p525 :rule symm :premises (@p261)) % 34.04/34.84 (step @p526 :rule refl :args (tptp.sk5)) % 34.04/34.84 (step @p527 :rule cong :premises (@p526 @p525) :args ((tptp.cons tptp.sk5 @t194))) % 34.04/34.84 (step @p528 :rule trans :premises (@p527 @p524 @p203)) % 34.04/34.84 (step @p529 :rule symm :premises (@p527)) % 34.04/34.84 (step @p530 :rule trans :premises (@p529 @p528 @p523)) % 34.04/34.84 (step @p531 :rule cong :premises (@p530 @p521) :args (@t235)) % 34.04/34.84 (step @p532 :rule trans :premises (@p617 @p531)) % 34.04/34.84 (step @p533 :rule cong :premises (@p532 @p462) :args (@t285)) % 34.04/34.84 (step @p534 :rule false_intro :premises (@p618)) % 34.04/34.84 (step @p535 :rule symm :premises (@p534)) % 34.04/34.84 (step @p536 :rule trans :premises (@p535 @p533 @p520)) % 34.04/34.84 (step @p537 false :rule eq_resolve :premises (@p536 @p519)) % 34.04/34.84 (step-pop @p619 :rule scope :premises (@p537)) % 34.04/34.84 (step-pop @p620 :rule scope :premises (@p619)) % 34.04/34.84 (step-pop @p621 :rule scope :premises (@p620)) % 34.04/34.84 (step-pop @p622 :rule scope :premises (@p621)) % 34.04/34.84 (step-pop @p623 :rule scope :premises (@p622)) % 34.04/34.84 (step-pop @p624 :rule scope :premises (@p623)) % 34.04/34.84 (step-pop @p625 :rule scope :premises (@p624)) % 34.04/34.84 (step @p538 :rule process_scope :premises (@p625) :args (false)) % 34.04/34.84 (assume-push @p626 @t225) % 34.04/34.84 (assume-push @p627 @t185) % 34.04/34.84 (assume-push @p628 @t190) % 34.04/34.84 (assume-push @p629 @t210) % 34.04/34.84 (assume-push @p630 @t237) % 34.04/34.84 (assume-push @p631 @t286) % 34.04/34.84 (assume-push @p632 @t290) % 34.04/34.84 (step @p553 :rule and_intro :premises (@p503 @p211 @p203 @p626 @p261 @p630 @p631)) % 34.04/34.84 (step-pop @p633 :rule scope :premises (@p553)) % 34.04/34.84 (step-pop @p634 :rule scope :premises (@p633)) % 34.04/34.84 (step-pop @p635 :rule scope :premises (@p634)) % 34.04/34.84 (step-pop @p636 :rule scope :premises (@p635)) % 34.04/34.84 (step-pop @p637 :rule scope :premises (@p636)) % 34.04/34.84 (step-pop @p638 :rule scope :premises (@p637)) % 34.04/34.84 (step-pop @p639 :rule scope :premises (@p638)) % 34.04/34.84 (step @p554 :rule process_scope :premises (@p639) :args (@t298)) % 34.04/34.84 (step @p562 :rule implies_elim :premises (@p554)) % 34.04/34.84 (step @p563 :rule resolution :premises (@p562 @p538) :args (true @t298)) % 34.04/34.84 (step @p564 :rule not_and :premises (@p563)) % 34.04/34.84 (step @p565 :rule eq_resolve :premises (@p564 @p511)) % 34.04/34.84 (step @p566 :rule reordering :premises (@p565) :args ((or @t271 @t297 @t296 @t295 @t285 @t294 @t293))) % 34.04/34.84 (step @p567 false :rule chain_m_resolution :premises (@p566 @p503 @p494 @p346 @p336 @p261 @p211 @p203) :args (false (@list false true false false false false false) (@list @t290 @t285 @t237 @t225 @t210 @t190 @t185))) % 34.04/34.84 ) % 34.04/34.84 % SZS output end Proof % 34.04/34.85 % cvc5 exiting %------------------------------------------------------------------------------