%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC316-1 : 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 : n013.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 08:58:51 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.69s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC316-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n013.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 19:40:45 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.69 % SZS status Unsatisfiable % 0.39/0.69 % SZS output start Proof % 0.39/0.71 ( % 0.39/0.71 (declare-sort $$unsorted 0) % 0.39/0.71 (declare-const tptp.sk6 $$unsorted) % 0.39/0.71 (declare-const tptp.sk5 $$unsorted) % 0.39/0.71 (declare-const tptp.sk4 $$unsorted) % 0.39/0.71 (declare-const tptp.sk2 $$unsorted) % 0.39/0.71 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.nil $$unsorted) % 0.39/0.71 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.sk1 $$unsorted) % 0.39/0.71 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.skac2 $$unsorted) % 0.39/0.71 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.sk3 $$unsorted) % 0.39/0.71 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skac3 $$unsorted) % 0.39/0.71 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.71 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.39/0.71 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.71 (define @t1 () (tptp.ssList tptp.nil)) % 0.39/0.71 (define @t2 () (@var "U" $$unsorted)) % 0.39/0.71 (define @t3 () (tptp.skaf83 @t2)) % 0.39/0.71 (define @t4 () (@list @t2)) % 0.39/0.71 (define @t5 () (tptp.skaf82 @t2)) % 0.39/0.71 (define @t6 () (tptp.skaf81 @t2)) % 0.39/0.71 (define @t7 () (tptp.skaf80 @t2)) % 0.39/0.71 (define @t8 () (tptp.skaf79 @t2)) % 0.39/0.71 (define @t9 () (tptp.skaf78 @t2)) % 0.39/0.71 (define @t10 () (tptp.skaf77 @t2)) % 0.39/0.71 (define @t11 () (tptp.skaf76 @t2)) % 0.39/0.71 (define @t12 () (tptp.skaf75 @t2)) % 0.39/0.71 (define @t13 () (tptp.skaf74 @t2)) % 0.39/0.71 (define @t14 () (tptp.skaf73 @t2)) % 0.39/0.71 (define @t15 () (tptp.skaf72 @t2)) % 0.39/0.71 (define @t16 () (tptp.skaf71 @t2)) % 0.39/0.71 (define @t17 () (tptp.skaf70 @t2)) % 0.39/0.71 (define @t18 () (tptp.skaf69 @t2)) % 0.39/0.71 (define @t19 () (tptp.skaf68 @t2)) % 0.39/0.71 (define @t20 () (tptp.skaf67 @t2)) % 0.39/0.71 (define @t21 () (tptp.skaf66 @t2)) % 0.39/0.71 (define @t22 () (tptp.skaf65 @t2)) % 0.39/0.71 (define @t23 () (tptp.skaf64 @t2)) % 0.39/0.71 (define @t24 () (tptp.skaf63 @t2)) % 0.39/0.71 (define @t25 () (tptp.skaf62 @t2)) % 0.39/0.71 (define @t26 () (tptp.skaf61 @t2)) % 0.39/0.71 (define @t27 () (tptp.skaf60 @t2)) % 0.39/0.71 (define @t28 () (tptp.skaf59 @t2)) % 0.39/0.71 (define @t29 () (tptp.skaf58 @t2)) % 0.39/0.71 (define @t30 () (tptp.skaf57 @t2)) % 0.39/0.71 (define @t31 () (tptp.skaf56 @t2)) % 0.39/0.71 (define @t32 () (tptp.skaf55 @t2)) % 0.39/0.71 (define @t33 () (tptp.skaf54 @t2)) % 0.39/0.71 (define @t34 () (tptp.skaf53 @t2)) % 0.39/0.71 (define @t35 () (tptp.skaf52 @t2)) % 0.39/0.71 (define @t36 () (tptp.skaf51 @t2)) % 0.39/0.71 (define @t37 () (tptp.skaf50 @t2)) % 0.39/0.71 (define @t38 () (tptp.skaf49 @t2)) % 0.39/0.71 (define @t39 () (tptp.skaf44 @t2)) % 0.39/0.71 (define @t40 () (@var "V" $$unsorted)) % 0.39/0.71 (define @t41 () (@list @t2 @t40)) % 0.39/0.71 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.39/0.71 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.39/0.71 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.39/0.71 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.39/0.71 (define @t46 () (not (tptp.ssItem @t2))) % 0.39/0.71 (define @t47 () (not (tptp.ssList @t2))) % 0.39/0.71 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.39/0.71 (define @t49 () (tptp.ssItem @t40)) % 0.39/0.71 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.39/0.71 (define @t51 () (tptp.app tptp.nil @t2)) % 0.39/0.71 (define @t52 () (or @t47 (= @t51 @t2))) % 0.39/0.71 (define @t53 () (forall @t4 @t52)) % 0.39/0.71 (define @t54 () (= tptp.nil @t2)) % 0.39/0.71 (define @t55 () (tptp.tl @t2)) % 0.39/0.71 (define @t56 () (tptp.hd @t2)) % 0.39/0.71 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 0.39/0.71 (define @t58 () (not @t54)) % 0.39/0.71 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 0.39/0.71 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 0.39/0.71 (define @t61 () (tptp.app @t40 @t2)) % 0.39/0.71 (define @t62 () (not (tptp.ssList @t40))) % 0.39/0.71 (define @t63 () (tptp.cons @t2 @t40)) % 0.39/0.71 (define @t64 () (tptp.cyclefreeP @t2)) % 0.39/0.71 (define @t65 () (tptp.equalelemsP @t2)) % 0.39/0.71 (define @t66 () (tptp.strictorderedP @t2)) % 0.39/0.71 (define @t67 () (tptp.totalorderedP @t2)) % 0.39/0.71 (define @t68 () (tptp.strictorderP @t2)) % 0.39/0.71 (define @t69 () (tptp.totalorderP @t2)) % 0.39/0.71 (define @t70 () (tptp.tl @t63)) % 0.39/0.71 (define @t71 () (or @t46 @t62 (= @t70 @t40))) % 0.39/0.71 (define @t72 () (forall @t41 @t71)) % 0.39/0.71 (define @t73 () (tptp.hd @t63)) % 0.39/0.71 (define @t74 () (or @t46 @t62 (= @t73 @t2))) % 0.39/0.71 (define @t75 () (forall @t41 @t74)) % 0.39/0.71 (define @t76 () (not (= @t63 tptp.nil))) % 0.39/0.71 (define @t77 () (or @t76 @t46 @t62)) % 0.39/0.71 (define @t78 () (forall @t41 @t77)) % 0.39/0.71 (define @t79 () (= @t40 @t2)) % 0.39/0.71 (define @t80 () (tptp.neq @t40 @t2)) % 0.39/0.71 (define @t81 () (or @t47 @t62 @t80 @t79)) % 0.39/0.71 (define @t82 () (forall @t41 @t81)) % 0.39/0.71 (define @t83 () (not @t49)) % 0.39/0.71 (define @t84 () (tptp.leq @t2 @t40)) % 0.39/0.71 (define @t85 () (tptp.lt @t2 @t40)) % 0.39/0.71 (define @t86 () (not @t85)) % 0.39/0.71 (define @t87 () (tptp.lt @t40 @t2)) % 0.39/0.71 (define @t88 () (not (tptp.gt @t2 @t40))) % 0.39/0.71 (define @t89 () (tptp.gt @t40 @t2)) % 0.39/0.71 (define @t90 () (tptp.leq @t40 @t2)) % 0.39/0.71 (define @t91 () (not (tptp.geq @t2 @t40))) % 0.39/0.71 (define @t92 () (tptp.geq @t40 @t2)) % 0.39/0.71 (define @t93 () (not @t84)) % 0.39/0.71 (define @t94 () (= @t2 @t40)) % 0.39/0.71 (define @t95 () (not @t94)) % 0.39/0.71 (define @t96 () (tptp.cons @t40 @t2)) % 0.39/0.71 (define @t97 () (not (tptp.neq @t2 @t40))) % 0.39/0.71 (define @t98 () (tptp.app @t2 @t40)) % 0.39/0.71 (define @t99 () (= @t98 tptp.nil)) % 0.39/0.71 (define @t100 () (not @t99)) % 0.39/0.71 (define @t101 () (or @t100 @t62 @t47 @t54)) % 0.39/0.71 (define @t102 () (forall @t41 @t101)) % 0.39/0.71 (define @t103 () (= tptp.nil @t40)) % 0.39/0.71 (define @t104 () (tptp.hd @t40)) % 0.39/0.71 (define @t105 () (forall @t41 (or @t47 @t62 @t103 (= (tptp.hd @t61) @t104)))) % 0.39/0.71 (define @t106 () (tptp.strictorderedP @t40)) % 0.39/0.71 (define @t107 () (tptp.strictorderedP @t63)) % 0.39/0.71 (define @t108 () (not @t107)) % 0.39/0.71 (define @t109 () (tptp.totalorderedP @t40)) % 0.39/0.71 (define @t110 () (tptp.totalorderedP @t63)) % 0.39/0.71 (define @t111 () (not @t110)) % 0.39/0.71 (define @t112 () (not (tptp.segmentP @t2 @t40))) % 0.39/0.71 (define @t113 () (not (tptp.rearsegP @t2 @t40))) % 0.39/0.71 (define @t114 () (not (tptp.frontsegP @t2 @t40))) % 0.39/0.71 (define @t115 () (not @t90)) % 0.39/0.71 (define @t116 () (tptp.tl @t40)) % 0.39/0.71 (define @t117 () (tptp.lt @t2 @t104)) % 0.39/0.71 (define @t118 () (tptp.leq @t2 @t104)) % 0.39/0.71 (define @t119 () (@var "W" $$unsorted)) % 0.39/0.71 (define @t120 () (tptp.app @t119 @t2)) % 0.39/0.71 (define @t121 () (not (tptp.ssList @t119))) % 0.39/0.71 (define @t122 () (@list @t2 @t40 @t119)) % 0.39/0.71 (define @t123 () (tptp.app @t2 @t119)) % 0.39/0.71 (define @t124 () (tptp.cons @t40 @t119)) % 0.39/0.71 (define @t125 () (tptp.cons @t119 @t2)) % 0.39/0.71 (define @t126 () (not (tptp.ssItem @t119))) % 0.39/0.71 (define @t127 () (not (tptp.memberP @t2 @t40))) % 0.39/0.71 (define @t128 () (not (= @t98 @t119))) % 0.39/0.71 (define @t129 () (tptp.lt @t2 @t119)) % 0.39/0.71 (define @t130 () (not (tptp.lt @t40 @t119))) % 0.39/0.71 (define @t131 () (tptp.app @t119 @t40)) % 0.39/0.71 (define @t132 () (= @t40 @t119)) % 0.39/0.71 (define @t133 () (= @t2 @t119)) % 0.39/0.71 (define @t134 () (tptp.memberP @t40 @t119)) % 0.39/0.71 (define @t135 () (@var "X" $$unsorted)) % 0.39/0.71 (define @t136 () (not (tptp.ssList @t135))) % 0.39/0.71 (define @t137 () (tptp.cons @t119 @t135)) % 0.39/0.71 (define @t138 () (not (= @t63 @t137))) % 0.39/0.71 (define @t139 () (@list @t2 @t40 @t119 @t135)) % 0.39/0.71 (define @t140 () (not (tptp.frontsegP @t63 @t137))) % 0.39/0.71 (define @t141 () (tptp.app @t2 @t124)) % 0.39/0.71 (define @t142 () (not (tptp.ssItem @t135))) % 0.39/0.71 (define @t143 () (@var "Y" $$unsorted)) % 0.39/0.71 (define @t144 () (not (tptp.ssList @t143))) % 0.39/0.71 (define @t145 () (@list @t2 @t40 @t119 @t135 @t143)) % 0.39/0.71 (define @t146 () (tptp.lt @t40 @t135)) % 0.39/0.71 (define @t147 () (@var "Z" $$unsorted)) % 0.39/0.71 (define @t148 () (not (tptp.ssList @t147))) % 0.39/0.71 (define @t149 () (not (= (tptp.app @t141 (tptp.cons @t135 @t143)) @t147))) % 0.39/0.71 (define @t150 () (@list @t2 @t40 @t119 @t135 @t143 @t147)) % 0.39/0.71 (define @t151 () (tptp.leq @t40 @t135)) % 0.39/0.71 (define @t152 () (tptp.ssList tptp.sk1)) % 0.39/0.71 (define @t153 () (tptp.ssList tptp.sk2)) % 0.39/0.71 (define @t154 () (tptp.neq tptp.sk2 tptp.nil)) % 0.39/0.71 (define @t155 () (or @t154 @t154)) % 0.39/0.71 (define @t156 () (tptp.neq tptp.sk4 tptp.nil)) % 0.39/0.71 (define @t157 () (not @t156)) % 0.39/0.71 (define @t158 () (tptp.ssItem tptp.sk5)) % 0.39/0.71 (define @t159 () (tptp.ssList tptp.sk6)) % 0.39/0.71 (define @t160 () (tptp.cons tptp.sk5 tptp.nil)) % 0.39/0.71 (define @t161 () (tptp.app @t160 tptp.sk6)) % 0.39/0.71 (define @t162 () (= @t161 tptp.sk3)) % 0.39/0.71 (define @t163 () (tptp.app tptp.sk6 @t160)) % 0.39/0.71 (define @t164 () (= @t163 tptp.sk4)) % 0.39/0.71 (define @t165 () (tptp.neq tptp.sk1 tptp.nil)) % 0.39/0.71 (define @t166 () (not @t165)) % 0.39/0.71 (define @t167 () (tptp.neq tptp.nil tptp.sk1)) % 0.39/0.71 (define @t168 () (not @t167)) % 0.39/0.71 (define @t169 () (@var "D" $$unsorted)) % 0.39/0.71 (define @t170 () (tptp.hd tptp.sk1)) % 0.39/0.71 (define @t171 () (not (= @t170 @t169))) % 0.39/0.71 (define @t172 () (@var "C" $$unsorted)) % 0.39/0.71 (define @t173 () (tptp.cons @t169 tptp.nil)) % 0.39/0.71 (define @t174 () (not (= @t173 @t172))) % 0.39/0.71 (define @t175 () (not (tptp.ssItem @t169))) % 0.39/0.71 (define @t176 () (@var "A" $$unsorted)) % 0.39/0.71 (define @t177 () (@var "B" $$unsorted)) % 0.39/0.71 (define @t178 () (tptp.app @t177 @t172)) % 0.39/0.71 (define @t179 () (not (= @t178 @t176))) % 0.39/0.71 (define @t180 () (tptp.tl tptp.sk1)) % 0.39/0.71 (define @t181 () (not (= @t180 @t177))) % 0.39/0.71 (define @t182 () (not (tptp.ssList @t172))) % 0.39/0.71 (define @t183 () (not (tptp.ssList @t177))) % 0.39/0.71 (define @t184 () (not (= tptp.sk2 @t176))) % 0.39/0.71 (define @t185 () (not (tptp.ssList @t176))) % 0.39/0.71 (define @t186 () (@list @t176 @t177 @t172 @t169)) % 0.39/0.71 (define @t187 () (or @t162 @t157)) % 0.39/0.71 (define @t188 () (or @t164 @t157)) % 0.39/0.71 (define @t189 () (or @t185 @t184 @t183 @t182 @t181 @t179 @t175 @t174 @t171 @t168 @t168 @t166 @t157)) % 0.39/0.71 (define @t190 () (forall @t186 @t189)) % 0.39/0.71 (define @t191 () (@list false)) % 0.39/0.71 (define @t192 () (@list @t156)) % 0.39/0.71 (define @t193 () (@list tptp.sk5 tptp.nil)) % 0.39/0.71 (define @t194 () (tptp.hd @t160)) % 0.39/0.71 (define @t195 () (= tptp.sk5 @t194)) % 0.39/0.71 (define @t196 () (not @t1)) % 0.39/0.71 (define @t197 () (not @t158)) % 0.39/0.71 (define @t198 () (or @t197 @t196 @t195)) % 0.39/0.71 (define @t199 () (@list false false false)) % 0.39/0.71 (define @t200 () (tptp.hd @t161)) % 0.39/0.71 (define @t201 () (= tptp.nil @t160)) % 0.39/0.71 (define @t202 () (tptp.ssList @t160)) % 0.39/0.71 (define @t203 () (not @t202)) % 0.39/0.71 (define @t204 () (not @t159)) % 0.39/0.71 (define @t205 () (or @t204 @t203 @t201 (= @t200 @t194))) % 0.39/0.71 (define @t206 () (@list tptp.sk6 @t160)) % 0.39/0.71 (define @t207 () (= @t194 @t200)) % 0.39/0.71 (define @t208 () (or @t204 @t203 @t201 @t207)) % 0.39/0.71 (define @t209 () (or @t197 @t196 @t202)) % 0.39/0.71 (define @t210 () (not @t201)) % 0.39/0.71 (define @t211 () (or @t210 @t197 @t196)) % 0.39/0.71 (define @t212 () (@list false true false false)) % 0.39/0.71 (define @t213 () (= tptp.sk3 @t161)) % 0.39/0.71 (define @t214 () (tptp.ssItem @t170)) % 0.39/0.71 (define @t215 () (tptp.tl @t161)) % 0.39/0.71 (define @t216 () (tptp.tl @t160)) % 0.39/0.71 (define @t217 () (tptp.app @t216 tptp.sk6)) % 0.39/0.71 (define @t218 () (= @t215 @t217)) % 0.39/0.71 (define @t219 () (or @t204 @t203 @t201 @t218)) % 0.39/0.71 (define @t220 () (= tptp.nil @t216)) % 0.39/0.71 (define @t221 () (or @t197 @t196 @t220)) % 0.39/0.71 (define @t222 () (tptp.app tptp.nil tptp.sk6)) % 0.39/0.71 (define @t223 () (= tptp.sk6 @t222)) % 0.39/0.71 (define @t224 () (or @t204 @t223)) % 0.39/0.71 (define @t225 () (= tptp.sk4 @t163)) % 0.39/0.71 (define @t226 () (tptp.cons @t170 tptp.nil)) % 0.39/0.71 (define @t227 () (tptp.ssList @t226)) % 0.39/0.71 (define @t228 () (tptp.ssList @t180)) % 0.39/0.71 (define @t229 () (not @t152)) % 0.39/0.71 (define @t230 () (or @t229 @t196 @t167 (= tptp.sk1 tptp.nil))) % 0.39/0.71 (define @t231 () (forall @t41 (or @t47 @t62 @t80 @t94))) % 0.39/0.71 (define @t232 () (= tptp.nil tptp.sk1)) % 0.39/0.71 (define @t233 () (or @t229 @t196 @t167 @t232)) % 0.39/0.71 (define @t234 () (not (= tptp.nil @t161))) % 0.39/0.71 (define @t235 () (or @t234 @t204 @t203 @t201)) % 0.39/0.71 (define @t236 () (@list false false true false)) % 0.39/0.71 (define @t237 () (or @t196 @t229 @t165 @t232)) % 0.39/0.71 (define @t238 () (not @t214)) % 0.39/0.71 (define @t239 () (= tptp.sk2 (tptp.app @t180 @t226))) % 0.39/0.71 (define @t240 () (not @t239)) % 0.39/0.71 (define @t241 () (not @t227)) % 0.39/0.71 (define @t242 () (not @t228)) % 0.39/0.71 (define @t243 () (not @t153)) % 0.39/0.71 (define @t244 () (or @t243 @t242 @t241 @t240 @t238)) % 0.39/0.71 (define @t245 () (or @t242 @t241 @t240 @t238)) % 0.39/0.71 (define @t246 () (or @t241 @t240 @t238)) % 0.39/0.71 (define @t247 () (not (= @t170 @t170))) % 0.39/0.71 (define @t248 () (or @t241 @t240 @t238 @t247)) % 0.39/0.71 (define @t249 () (not (= @t169 @t170))) % 0.39/0.71 (define @t250 () (not (= tptp.sk2 (tptp.app @t180 @t173)))) % 0.39/0.71 (define @t251 () (not (tptp.ssList @t173))) % 0.39/0.71 (define @t252 () (or @t249 @t251 @t250 @t175 @t249)) % 0.39/0.71 (define @t253 () (@list @t169)) % 0.39/0.71 (define @t254 () (or @t251 @t250 @t175 @t249)) % 0.39/0.71 (define @t255 () (not (= @t173 @t173))) % 0.39/0.71 (define @t256 () (or @t251 @t250 @t175 @t255 @t249)) % 0.39/0.71 (define @t257 () (not (= @t172 @t173))) % 0.39/0.71 (define @t258 () (not (= tptp.sk2 (tptp.app @t180 @t172)))) % 0.39/0.71 (define @t259 () (or @t257 @t182 @t258 @t175 @t257 @t249)) % 0.39/0.71 (define @t260 () (@list @t172)) % 0.39/0.71 (define @t261 () (or @t182 @t258 @t175 @t257 @t249)) % 0.39/0.71 (define @t262 () (forall @t260 @t261)) % 0.39/0.71 (define @t263 () (forall @t253 @t262)) % 0.39/0.71 (define @t264 () (forall (@list @t169 @t172) @t261)) % 0.39/0.71 (define @t265 () (@list @t172 @t169)) % 0.39/0.71 (define @t266 () (forall @t265 @t261)) % 0.39/0.71 (define @t267 () (or @t242 @t266)) % 0.39/0.71 (define @t268 () (or @t242 @t261)) % 0.39/0.71 (define @t269 () (or @t242 @t182 @t258 @t175 @t257 @t249)) % 0.39/0.71 (define @t270 () (not (= @t180 @t180))) % 0.39/0.71 (define @t271 () (or @t242 @t270 @t182 @t258 @t175 @t257 @t249)) % 0.39/0.71 (define @t272 () (not (= tptp.sk2 @t178))) % 0.39/0.71 (define @t273 () (not (= @t177 @t180))) % 0.39/0.71 (define @t274 () (or @t273 @t183 @t273 @t182 @t272 @t175 @t257 @t249)) % 0.39/0.71 (define @t275 () (@list @t177)) % 0.39/0.71 (define @t276 () (or @t183 @t273 @t182 @t272 @t175 @t257 @t249)) % 0.39/0.71 (define @t277 () (forall @t275 @t276)) % 0.39/0.71 (define @t278 () (forall @t265 @t277)) % 0.39/0.71 (define @t279 () (forall (@list @t172 @t169 @t177) @t276)) % 0.39/0.71 (define @t280 () (@list @t177 @t172 @t169)) % 0.39/0.71 (define @t281 () (forall @t280 @t276)) % 0.39/0.71 (define @t282 () (or @t243 @t281)) % 0.39/0.71 (define @t283 () (or @t243 @t276)) % 0.39/0.71 (define @t284 () (or @t243 @t183 @t273 @t182 @t272 @t175 @t257 @t249)) % 0.39/0.71 (define @t285 () (not (= tptp.sk2 tptp.sk2))) % 0.39/0.71 (define @t286 () (or @t243 @t285 @t183 @t273 @t182 @t272 @t175 @t257 @t249)) % 0.39/0.71 (define @t287 () (not (= @t176 @t178))) % 0.39/0.71 (define @t288 () (@list @t176)) % 0.39/0.71 (define @t289 () (or @t184 @t185 @t184 @t183 @t273 @t182 @t287 @t175 @t257 @t249)) % 0.39/0.71 (define @t290 () (or @t185 @t184 @t183 @t273 @t182 @t287 @t175 @t257 @t249)) % 0.39/0.71 (define @t291 () (forall @t288 @t290)) % 0.39/0.71 (define @t292 () (forall @t280 @t291)) % 0.39/0.71 (define @t293 () (forall (@list @t177 @t172 @t169 @t176) @t290)) % 0.39/0.71 (define @t294 () (forall @t186 @t290)) % 0.39/0.71 (define @t295 () (or @t168 @t166 @t157 @t294)) % 0.39/0.71 (define @t296 () (or @t168 @t166 @t157 @t290)) % 0.39/0.71 (define @t297 () (or @t185 @t184 @t183 @t182 @t273 @t287 @t175 @t257 @t249 @t168 @t166 @t157)) % 0.39/0.71 (define @t298 () (or @t185 @t184 @t183 @t182 @t273 @t287 @t175 @t257 @t249 @t168 @t168 @t166 @t157)) % 0.39/0.71 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.39/0.71 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.39/0.71 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.39/0.71 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.39/0.71 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.39/0.71 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.39/0.71 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.39/0.71 (assume @p8 @t1) % 0.39/0.71 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.39/0.71 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.39/0.71 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.39/0.71 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.39/0.71 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.39/0.71 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.39/0.71 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.39/0.71 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.39/0.71 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.39/0.71 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.39/0.71 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.39/0.71 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.39/0.71 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.39/0.71 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.39/0.71 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.39/0.71 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.39/0.71 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.39/0.71 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.39/0.71 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.39/0.71 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.39/0.71 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.39/0.71 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.39/0.71 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.39/0.71 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.39/0.71 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.39/0.71 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.39/0.71 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.39/0.71 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.39/0.71 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.39/0.71 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.39/0.71 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.39/0.71 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.39/0.71 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.39/0.71 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.39/0.71 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.39/0.71 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.39/0.71 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.39/0.71 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.39/0.71 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.39/0.71 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.39/0.71 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.39/0.71 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.39/0.71 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.39/0.71 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.39/0.71 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.39/0.71 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.39/0.71 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.39/0.71 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.39/0.71 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.39/0.71 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.39/0.71 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.39/0.71 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.39/0.71 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.39/0.71 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.39/0.71 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.39/0.71 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.39/0.71 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.39/0.71 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.39/0.71 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.39/0.71 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.39/0.71 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.39/0.71 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.39/0.71 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.39/0.71 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.39/0.71 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.39/0.71 (assume @p74 @t53) % 0.39/0.71 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 0.39/0.71 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 0.39/0.71 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 0.39/0.71 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 0.39/0.71 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 0.39/0.71 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 0.39/0.71 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 0.39/0.71 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 0.39/0.71 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 0.39/0.71 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 0.39/0.71 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 0.39/0.71 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 0.39/0.71 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 0.39/0.71 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 0.39/0.71 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 0.39/0.71 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 0.39/0.71 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 0.39/0.71 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 0.39/0.71 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 0.39/0.71 (assume @p94 @t72) % 0.39/0.71 (assume @p95 @t75) % 0.39/0.71 (assume @p96 @t78) % 0.39/0.71 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 0.39/0.71 (assume @p98 @t82) % 0.39/0.71 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.39/0.71 (assume @p100 (forall @t41 (or @t46 @t83 @t80 @t79))) % 0.39/0.71 (assume @p101 (forall @t41 (or @t86 @t83 @t46 @t84))) % 0.39/0.71 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 0.39/0.71 (assume @p103 (forall @t41 (or @t88 @t83 @t46 @t87))) % 0.39/0.71 (assume @p104 (forall @t41 (or @t86 @t46 @t83 @t89))) % 0.39/0.71 (assume @p105 (forall @t41 (or @t91 @t83 @t46 @t90))) % 0.39/0.71 (assume @p106 (forall @t41 (or @t93 @t46 @t83 @t92))) % 0.39/0.71 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 0.39/0.71 (assume @p108 (forall @t41 (or @t88 (not @t89) @t46 @t83))) % 0.39/0.71 (assume @p109 (forall @t41 (or @t95 @t86 @t83 @t46))) % 0.39/0.71 (assume @p110 (forall @t41 (or @t58 @t47 @t83 (tptp.strictorderedP @t96)))) % 0.39/0.71 (assume @p111 (forall @t41 (or @t58 @t47 @t83 (tptp.totalorderedP @t96)))) % 0.39/0.71 (assume @p112 (forall @t41 (or @t86 (not @t87) @t46 @t83))) % 0.39/0.71 (assume @p113 (forall @t41 (or @t95 @t97 @t62 @t47))) % 0.39/0.71 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 0.39/0.71 (assume @p115 (forall @t41 (or @t95 @t97 @t83 @t46))) % 0.39/0.71 (assume @p116 @t102) % 0.39/0.71 (assume @p117 (forall @t41 (or @t100 @t62 @t47 @t103))) % 0.39/0.71 (assume @p118 (forall @t41 (or @t46 @t62 (= (tptp.app @t48 @t40) @t63)))) % 0.39/0.71 (assume @p119 (forall @t41 (or @t93 @t83 @t46 @t85 @t94))) % 0.39/0.71 (assume @p120 @t105) % 0.39/0.71 (assume @p121 (forall @t41 (or @t108 @t62 @t46 @t106 @t103))) % 0.39/0.71 (assume @p122 (forall @t41 (or @t111 @t62 @t46 @t109 @t103))) % 0.39/0.71 (assume @p123 (forall @t41 (or @t91 (not @t92) @t46 @t83 @t79))) % 0.39/0.71 (assume @p124 (forall @t41 (or @t112 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t79))) % 0.39/0.71 (assume @p125 (forall @t41 (or @t113 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t79))) % 0.39/0.71 (assume @p126 (forall @t41 (or @t114 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t79))) % 0.39/0.71 (assume @p127 (forall @t41 (or @t93 @t115 @t46 @t83 @t79))) % 0.39/0.71 (assume @p128 (forall @t41 (or @t113 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.39/0.71 (assume @p129 (forall @t41 (or @t114 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.39/0.71 (assume @p130 (forall @t41 (or @t47 @t62 @t103 (= (tptp.tl @t61) (tptp.app @t116 @t2))))) % 0.39/0.71 (assume @p131 (forall @t41 (or @t108 @t62 @t46 @t117 @t103))) % 0.39/0.71 (assume @p132 (forall @t41 (or @t111 @t62 @t46 @t118 @t103))) % 0.39/0.71 (assume @p133 (forall @t122 (or @t113 @t121 @t62 @t47 (tptp.rearsegP @t120 @t40)))) % 0.39/0.71 (assume @p134 (forall @t122 (or @t114 @t121 @t62 @t47 (tptp.frontsegP @t123 @t40)))) % 0.39/0.71 (assume @p135 (forall @t122 (or @t95 @t121 @t83 @t46 (tptp.memberP @t124 @t2)))) % 0.39/0.71 (assume @p136 (forall @t122 (or @t127 @t47 @t126 @t83 (tptp.memberP @t125 @t40)))) % 0.39/0.71 (assume @p137 (forall @t122 (or @t127 @t121 @t47 @t83 (tptp.memberP @t123 @t40)))) % 0.39/0.71 (assume @p138 (forall @t122 (or @t127 @t47 @t121 @t83 (tptp.memberP @t120 @t40)))) % 0.39/0.71 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.39/0.71 (assume @p140 (forall @t122 (or @t128 @t47 @t62 @t121 (tptp.rearsegP @t119 @t40)))) % 0.39/0.71 (assume @p141 (forall @t122 (or @t128 @t62 @t47 @t121 (tptp.frontsegP @t119 @t2)))) % 0.39/0.71 (assume @p142 (forall @t41 (or @t58 (not @t103) @t62 @t47 @t99))) % 0.39/0.71 (assume @p143 (forall @t122 (or @t88 (not (tptp.gt @t40 @t119)) @t126 @t83 @t46 (tptp.gt @t2 @t119)))) % 0.39/0.71 (assume @p144 (forall @t122 (or @t93 @t130 @t126 @t83 @t46 @t129))) % 0.39/0.71 (assume @p145 (forall @t122 (or @t91 (not (tptp.geq @t40 @t119)) @t126 @t83 @t46 (tptp.geq @t2 @t119)))) % 0.39/0.71 (assume @p146 (forall @t122 (or @t47 @t62 @t121 (= (tptp.app @t131 @t2) (tptp.app @t119 @t61))))) % 0.39/0.71 (assume @p147 (forall @t122 (or (not (= @t98 @t123)) @t62 @t47 @t121 @t132))) % 0.39/0.71 (assume @p148 (forall @t122 (or (not (= @t98 @t131)) @t47 @t62 @t121 @t133))) % 0.39/0.71 (assume @p149 (forall @t122 (or @t112 (not (tptp.segmentP @t40 @t119)) @t121 @t62 @t47 (tptp.segmentP @t2 @t119)))) % 0.39/0.71 (assume @p150 (forall @t122 (or @t113 (not (tptp.rearsegP @t40 @t119)) @t121 @t62 @t47 (tptp.rearsegP @t2 @t119)))) % 0.39/0.71 (assume @p151 (forall @t122 (or @t114 (not (tptp.frontsegP @t40 @t119)) @t121 @t62 @t47 (tptp.frontsegP @t2 @t119)))) % 0.39/0.71 (assume @p152 (forall @t122 (or @t86 @t130 @t126 @t83 @t46 @t129))) % 0.39/0.71 (assume @p153 (forall @t122 (or @t93 (not (tptp.leq @t40 @t119)) @t126 @t83 @t46 (tptp.leq @t2 @t119)))) % 0.39/0.71 (assume @p154 (forall @t122 (or @t46 @t62 @t121 (= (tptp.cons @t2 (tptp.app @t40 @t119)) (tptp.app @t63 @t119))))) % 0.39/0.71 (assume @p155 (forall @t122 (or (not (tptp.memberP @t98 @t119)) @t62 @t47 @t126 @t134 (tptp.memberP @t2 @t119)))) % 0.39/0.71 (assume @p156 (forall @t41 (or (not @t118) (not @t109) @t62 @t46 @t110 @t103))) % 0.39/0.71 (assume @p157 (forall @t41 (or (not @t117) (not @t106) @t62 @t46 @t107 @t103))) % 0.39/0.71 (assume @p158 (forall @t122 (or (not (tptp.memberP @t63 @t119)) @t62 @t46 @t126 @t134 (= @t119 @t2)))) % 0.39/0.71 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.39/0.71 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.39/0.71 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.39/0.71 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.39/0.71 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.39/0.71 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.39/0.71 (assume @p165 (forall @t41 (or @t112 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.39/0.71 (assume @p166 (forall @t41 (or @t127 @t83 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.39/0.71 (assume @p167 (forall @t139 (or @t138 @t126 @t46 @t136 @t62 @t133))) % 0.39/0.71 (assume @p168 (forall @t139 (or @t138 @t126 @t46 @t136 @t62 (= @t135 @t40)))) % 0.39/0.71 (assume @p169 (forall @t139 (or @t112 @t121 @t136 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t135 @t2) @t119) @t40)))) % 0.39/0.71 (assume @p170 (forall @t139 (or (not (= (tptp.app @t98 @t119) @t135)) @t121 @t47 @t62 @t136 (tptp.segmentP @t135 @t40)))) % 0.39/0.71 (assume @p171 (forall @t139 (or @t140 @t136 @t62 @t126 @t46 (tptp.frontsegP @t40 @t135)))) % 0.39/0.71 (assume @p172 (forall @t139 (or (not (= @t141 @t135)) @t121 @t47 @t83 @t136 (tptp.memberP @t135 @t40)))) % 0.39/0.71 (assume @p173 (forall @t139 (or @t140 @t136 @t62 @t126 @t46 @t133))) % 0.39/0.71 (assume @p174 (forall @t41 (or (not (= @t55 @t116)) (not (= @t56 @t104)) @t47 @t62 @t103 @t94 @t54))) % 0.39/0.71 (assume @p175 (forall @t139 (or @t114 (not (= @t119 @t135)) @t62 @t47 @t142 @t126 (tptp.frontsegP @t125 (tptp.cons @t135 @t40))))) % 0.39/0.71 (assume @p176 (forall @t145 (or (not (= (tptp.app @t141 (tptp.cons @t40 @t135)) @t143)) @t136 @t121 @t47 @t83 (not (tptp.duplicatefreeP @t143)) @t144))) % 0.39/0.71 (assume @p177 (forall @t145 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t137)) @t143)) @t136 @t47 @t126 @t83 (not (tptp.equalelemsP @t143)) @t144 @t132))) % 0.39/0.71 (assume @p178 (forall @t150 (or @t149 @t144 @t121 @t47 @t142 @t83 (not (tptp.strictorderedP @t147)) @t148 @t146))) % 0.39/0.71 (assume @p179 (forall @t150 (or @t149 @t144 @t121 @t47 @t142 @t83 (not (tptp.totalorderedP @t147)) @t148 @t151))) % 0.39/0.71 (assume @p180 (forall @t150 (or @t149 @t144 @t121 @t47 @t142 @t83 (not (tptp.strictorderP @t147)) @t148 @t146 (tptp.lt @t135 @t40)))) % 0.39/0.71 (assume @p181 (forall @t150 (or @t149 @t144 @t121 @t47 @t142 @t83 (not (tptp.totalorderP @t147)) @t148 @t151 (tptp.leq @t135 @t40)))) % 0.39/0.71 (assume @p182 (forall @t150 (or @t93 @t115 (not (= (tptp.app (tptp.app @t119 (tptp.cons @t2 @t135)) (tptp.cons @t40 @t143)) @t147)) @t144 @t136 @t121 @t83 @t46 (not (tptp.cyclefreeP @t147)) @t148))) % 0.39/0.71 (assume @p183 @t152) % 0.39/0.71 (assume @p184 @t153) % 0.39/0.71 (assume @p185 (tptp.ssList tptp.sk3)) % 0.39/0.71 (assume @p186 (tptp.ssList tptp.sk4)) % 0.39/0.71 (assume @p187 (= tptp.sk2 tptp.sk4)) % 0.39/0.71 (assume @p188 (= tptp.sk1 tptp.sk3)) % 0.39/0.71 (assume @p189 @t155) % 0.39/0.71 (assume @p190 (or @t154 @t157)) % 0.39/0.71 (assume @p191 (or @t158 @t154)) % 0.39/0.71 (assume @p192 (or @t159 @t154)) % 0.39/0.71 (assume @p193 (or @t162 @t154)) % 0.39/0.71 (assume @p194 (or @t164 @t154)) % 0.39/0.71 (assume @p195 (forall @t186 (or @t185 @t184 @t183 @t182 @t181 @t179 @t175 @t174 @t171 @t168 @t168 @t166 @t154))) % 0.39/0.71 (assume @p196 (or @t158 @t157)) % 0.39/0.71 (assume @p197 (or @t159 @t157)) % 0.39/0.71 (assume @p198 @t187) % 0.39/0.71 (assume @p199 @t188) % 0.39/0.71 (assume @p200 @t190) % 0.39/0.71 (step @p201 :rule aci_norm :args ((= @t155 @t154))) % 0.39/0.71 (step @p202 :rule eq_resolve :premises (@p189 @p201)) % 0.39/0.71 (step @p203 :rule true_intro :premises (@p202)) % 0.39/0.71 (step @p204 :rule refl :args (tptp.nil)) % 0.39/0.71 (step @p205 :rule symm :premises (@p187)) % 0.39/0.71 (step @p206 :rule cong :premises (@p205 @p204) :args (@t156)) % 0.39/0.71 (step @p207 :rule trans :premises (@p206 @p203)) % 0.39/0.71 (step @p208 :rule true_elim :premises (@p207)) % 0.39/0.71 (step @p209 :rule reordering :premises (@p196) :args ((or @t157 @t158))) % 0.39/0.71 (step @p210 :rule chain_m_resolution :premises (@p209 @p208) :args (@t158 @t191 @t192)) % 0.39/0.71 (step @p211 :rule true_intro :premises (@p210)) % 0.39/0.71 (step @p212 :rule eq-symm :args (@t73 @t2)) % 0.39/0.71 (step @p213 :rule refl :args (@t62)) % 0.39/0.71 (step @p214 :rule refl :args (@t46)) % 0.39/0.71 (step @p215 :rule nary_cong :premises (@p214 @p213 @p212) :args (@t74)) % 0.39/0.71 (step @p216 :rule cong :premises (@p215) :args (@t75)) % 0.39/0.71 (step @p217 :rule eq_resolve :premises (@p95 @p216)) % 0.39/0.71 (step @p218 :rule instantiate :premises (@p217) :args (@t193)) % 0.39/0.71 (step @p219 :rule cnf_or_pos :args (@t198)) % 0.39/0.71 (step @p220 :rule reordering :premises (@p219) :args ((or @t196 @t197 @t195 (not @t198)))) % 0.39/0.71 (step @p221 :rule chain_m_resolution :premises (@p220 @p8 @p210 @p218) :args (@t195 @t199 (@list @t1 @t158 @t198))) % 0.39/0.71 (step @p222 :rule symm :premises (@p221)) % 0.39/0.71 (step @p223 :rule eq-symm :args (@t200 @t194)) % 0.39/0.71 (step @p224 :rule refl :args (@t201)) % 0.39/0.71 (step @p225 :rule refl :args (@t203)) % 0.39/0.71 (step @p226 :rule refl :args (@t204)) % 0.39/0.71 (step @p227 :rule nary_cong :premises (@p226 @p225 @p224 @p223) :args (@t205)) % 0.39/0.71 (step @p228 :rule refl :args (@t105)) % 0.39/0.71 (step @p229 :rule cong :premises (@p228 @p227) :args ((=> @t105 @t205))) % 0.39/0.71 (assume-push @p500 @t105) % 0.39/0.71 (step @p231 :rule instantiate :premises (@p120) :args (@t206)) % 0.39/0.71 (step-pop @p501 :rule scope :premises (@p231)) % 0.39/0.71 (step @p232 :rule process_scope :premises (@p501) :args (@t205)) % 0.39/0.71 (step @p234 :rule eq_resolve :premises (@p232 @p229)) % 0.39/0.71 (step @p235 :rule implies_elim :premises (@p234)) % 0.39/0.71 (step @p236 :rule chain_m_resolution :premises (@p235 @p120) :args (@t208 @t191 (@list @t105))) % 0.39/0.71 (step @p237 :rule instantiate :premises (@p84) :args (@t193)) % 0.39/0.71 (step @p238 :rule cnf_or_pos :args (@t209)) % 0.39/0.71 (step @p239 :rule reordering :premises (@p238) :args ((or @t196 @t197 @t202 (not @t209)))) % 0.39/0.71 (step @p240 :rule chain_m_resolution :premises (@p239 @p8 @p210 @p237) :args (@t202 @t199 (@list @t1 @t158 @t209))) % 0.39/0.71 (step @p241 :rule eq-symm :args (@t63 tptp.nil)) % 0.39/0.71 (step @p242 :rule cong :premises (@p241) :args (@t76)) % 0.39/0.71 (step @p243 :rule nary_cong :premises (@p242 @p214 @p213) :args (@t77)) % 0.39/0.71 (step @p244 :rule cong :premises (@p243) :args (@t78)) % 0.39/0.71 (step @p245 :rule eq_resolve :premises (@p96 @p244)) % 0.39/0.71 (step @p246 :rule instantiate :premises (@p245) :args (@t193)) % 0.39/0.71 (step @p247 :rule cnf_or_pos :args (@t211)) % 0.39/0.71 (step @p248 :rule reordering :premises (@p247) :args ((or @t196 @t197 @t210 (not @t211)))) % 0.39/0.71 (step @p249 :rule chain_m_resolution :premises (@p248 @p8 @p210 @p246) :args (@t210 @t199 (@list @t1 @t158 @t211))) % 0.39/0.71 (step @p250 :rule reordering :premises (@p197) :args ((or @t157 @t159))) % 0.39/0.71 (step @p251 :rule chain_m_resolution :premises (@p250 @p208) :args (@t159 @t191 @t192)) % 0.39/0.71 (step @p252 :rule cnf_or_pos :args (@t208)) % 0.39/0.71 (step @p253 :rule reordering :premises (@p252) :args ((or @t204 @t201 @t203 @t207 (not @t208)))) % 0.39/0.71 (step @p254 :rule chain_m_resolution :premises (@p253 @p251 @p249 @p240 @p236) :args (@t207 @t212 (@list @t159 @t201 @t202 @t208))) % 0.39/0.71 (step @p255 :rule symm :premises (@p254)) % 0.39/0.71 (step @p256 :rule refl :args (@t157)) % 0.39/0.71 (step @p257 :rule eq-symm :args (@t161 tptp.sk3)) % 0.39/0.72 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t187)) % 0.39/0.72 (step @p259 :rule eq_resolve :premises (@p198 @p258)) % 0.39/0.72 (step @p260 :rule reordering :premises (@p259) :args ((or @t157 @t213))) % 0.39/0.72 (step @p261 :rule chain_m_resolution :premises (@p260 @p208) :args (@t213 @t191 @t192)) % 0.39/0.72 (step @p262 :rule trans :premises (@p188 @p261)) % 0.39/0.72 (step @p263 :rule cong :premises (@p262) :args (@t170)) % 0.39/0.72 (step @p264 :rule trans :premises (@p263 @p255 @p222)) % 0.39/0.72 (step @p265 :rule cong :premises (@p264) :args (@t214)) % 0.39/0.72 (step @p266 :rule trans :premises (@p265 @p211)) % 0.39/0.72 (step @p267 :rule true_elim :premises (@p266)) % 0.39/0.72 (step @p268 :rule symm :premises (@p188)) % 0.39/0.72 (step @p269 :rule symm :premises (@p261)) % 0.39/0.72 (step @p270 :rule trans :premises (@p269 @p268)) % 0.39/0.72 (step @p271 :rule cong :premises (@p270) :args (@t200)) % 0.39/0.72 (step @p272 :rule trans :premises (@p221 @p254 @p271)) % 0.39/0.72 (step @p273 :rule cong :premises (@p272 @p204) :args (@t160)) % 0.39/0.72 (step @p274 :rule cong :premises (@p270) :args (@t215)) % 0.39/0.72 (step @p275 :rule instantiate :premises (@p130) :args (@t206)) % 0.39/0.72 (step @p276 :rule cnf_or_pos :args (@t219)) % 0.39/0.72 (step @p277 :rule reordering :premises (@p276) :args ((or @t204 @t201 @t203 @t218 (not @t219)))) % 0.39/0.72 (step @p278 :rule chain_m_resolution :premises (@p277 @p251 @p249 @p240 @p275) :args (@t218 @t212 (@list @t159 @t201 @t202 @t219))) % 0.39/0.72 (step @p279 :rule symm :premises (@p278)) % 0.39/0.72 (step @p280 :rule refl :args (tptp.sk6)) % 0.39/0.72 (step @p281 :rule eq-symm :args (@t70 @t40)) % 0.39/0.72 (step @p282 :rule nary_cong :premises (@p214 @p213 @p281) :args (@t71)) % 0.39/0.72 (step @p283 :rule cong :premises (@p282) :args (@t72)) % 0.39/0.72 (step @p284 :rule eq_resolve :premises (@p94 @p283)) % 0.39/0.72 (step @p285 :rule instantiate :premises (@p284) :args (@t193)) % 0.39/0.72 (step @p286 :rule cnf_or_pos :args (@t221)) % 0.39/0.72 (step @p287 :rule reordering :premises (@p286) :args ((or @t196 @t197 @t220 (not @t221)))) % 0.39/0.72 (step @p288 :rule chain_m_resolution :premises (@p287 @p8 @p210 @p285) :args (@t220 @t199 (@list @t1 @t158 @t221))) % 0.39/0.72 (step @p289 :rule cong :premises (@p288 @p280) :args (@t222)) % 0.39/0.72 (step @p290 :rule eq-symm :args (@t51 @t2)) % 0.39/0.72 (step @p291 :rule refl :args (@t47)) % 0.39/0.72 (step @p292 :rule nary_cong :premises (@p291 @p290) :args (@t52)) % 0.39/0.72 (step @p293 :rule cong :premises (@p292) :args (@t53)) % 0.39/0.72 (step @p294 :rule eq_resolve :premises (@p74 @p293)) % 0.39/0.72 (step @p295 :rule instantiate :premises (@p294) :args ((@list tptp.sk6))) % 0.39/0.72 (step @p296 :rule cnf_or_pos :args (@t224)) % 0.39/0.72 (step @p297 :rule reordering :premises (@p296) :args ((or @t204 @t223 (not @t224)))) % 0.39/0.72 (step @p298 :rule chain_m_resolution :premises (@p297 @p251 @p295) :args (@t223 (@list false false) (@list @t159 @t224))) % 0.39/0.72 (step @p299 :rule trans :premises (@p298 @p289 @p279 @p274)) % 0.39/0.72 (step @p300 :rule cong :premises (@p299 @p273) :args (@t163)) % 0.39/0.72 (step @p301 :rule eq-symm :args (@t163 tptp.sk4)) % 0.39/0.72 (step @p302 :rule nary_cong :premises (@p301 @p256) :args (@t188)) % 0.39/0.72 (step @p303 :rule eq_resolve :premises (@p199 @p302)) % 0.39/0.72 (step @p304 :rule reordering :premises (@p303) :args ((or @t157 @t225))) % 0.39/0.72 (step @p305 :rule chain_m_resolution :premises (@p304 @p208) :args (@t225 @t191 @t192)) % 0.39/0.72 (step @p306 :rule trans :premises (@p187 @p305 @p300)) % 0.39/0.72 (step @p307 :rule true_intro :premises (@p240)) % 0.39/0.72 (step @p308 :rule cong :premises (@p264 @p204) :args (@t226)) % 0.39/0.72 (step @p309 :rule cong :premises (@p308) 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:rule trans :premises (@p495 @p483)) % 0.39/0.72 (step @p497 :rule eq_resolve :premises (@p200 @p496)) % 0.39/0.72 (step @p498 :rule reordering :premises (@p497) :args ((or @t157 @t168 @t166 @t243 @t242 @t241 @t240 @t238))) % 0.39/0.72 (step @p499 false :rule chain_m_resolution :premises (@p498 @p360 @p356 @p208 @p320 @p311 @p306 @p267 @p184) :args (false (@list false false false false false false false false) (@list @t165 @t167 @t156 @t228 @t227 @t239 @t214 @t153))) % 0.39/0.72 ) % 0.39/0.72 % SZS output end Proof % 0.39/0.72 % cvc5 exiting %------------------------------------------------------------------------------