%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC014-1 : 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 : n020.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 08:57:42 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.69s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC014-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:09:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.69 % SZS status Unsatisfiable % 0.38/0.69 % SZS output start Proof % 0.38/0.70 ( % 0.38/0.70 (declare-sort $$unsorted 0) % 0.38/0.70 (declare-const tptp.sk6 $$unsorted) % 0.38/0.70 (declare-const tptp.sk5 $$unsorted) % 0.38/0.70 (declare-const tptp.sk4 $$unsorted) % 0.38/0.70 (declare-const tptp.sk2 $$unsorted) % 0.38/0.70 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.nil $$unsorted) % 0.38/0.70 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.sk1 $$unsorted) % 0.38/0.70 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skac2 $$unsorted) % 0.38/0.70 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.sk3 $$unsorted) % 0.38/0.70 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skac3 $$unsorted) % 0.38/0.70 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (define @t1 () (tptp.ssList tptp.nil)) % 0.38/0.70 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.70 (define @t3 () (tptp.skaf83 @t2)) % 0.38/0.70 (define @t4 () (@list @t2)) % 0.38/0.70 (define @t5 () (tptp.skaf82 @t2)) % 0.38/0.70 (define @t6 () (tptp.skaf81 @t2)) % 0.38/0.70 (define @t7 () (tptp.skaf80 @t2)) % 0.38/0.70 (define @t8 () (tptp.skaf79 @t2)) % 0.38/0.70 (define @t9 () (tptp.skaf78 @t2)) % 0.38/0.70 (define @t10 () (tptp.skaf77 @t2)) % 0.38/0.70 (define @t11 () (tptp.skaf76 @t2)) % 0.38/0.70 (define @t12 () (tptp.skaf75 @t2)) % 0.38/0.70 (define @t13 () (tptp.skaf74 @t2)) % 0.38/0.70 (define @t14 () (tptp.skaf73 @t2)) % 0.38/0.70 (define @t15 () (tptp.skaf72 @t2)) % 0.38/0.70 (define @t16 () (tptp.skaf71 @t2)) % 0.38/0.70 (define @t17 () (tptp.skaf70 @t2)) % 0.38/0.70 (define @t18 () (tptp.skaf69 @t2)) % 0.38/0.70 (define @t19 () (tptp.skaf68 @t2)) % 0.38/0.70 (define @t20 () (tptp.skaf67 @t2)) % 0.38/0.70 (define @t21 () (tptp.skaf66 @t2)) % 0.38/0.70 (define @t22 () (tptp.skaf65 @t2)) % 0.38/0.70 (define @t23 () (tptp.skaf64 @t2)) % 0.38/0.70 (define @t24 () (tptp.skaf63 @t2)) % 0.38/0.70 (define @t25 () (tptp.skaf62 @t2)) % 0.38/0.70 (define @t26 () (tptp.skaf61 @t2)) % 0.38/0.70 (define @t27 () (tptp.skaf60 @t2)) % 0.38/0.70 (define @t28 () (tptp.skaf59 @t2)) % 0.38/0.70 (define @t29 () (tptp.skaf58 @t2)) % 0.38/0.70 (define @t30 () (tptp.skaf57 @t2)) % 0.38/0.70 (define @t31 () (tptp.skaf56 @t2)) % 0.38/0.70 (define @t32 () (tptp.skaf55 @t2)) % 0.38/0.70 (define @t33 () (tptp.skaf54 @t2)) % 0.38/0.70 (define @t34 () (tptp.skaf53 @t2)) % 0.38/0.70 (define @t35 () (tptp.skaf52 @t2)) % 0.38/0.70 (define @t36 () (tptp.skaf51 @t2)) % 0.38/0.70 (define @t37 () (tptp.skaf50 @t2)) % 0.38/0.70 (define @t38 () (tptp.skaf49 @t2)) % 0.38/0.70 (define @t39 () (tptp.skaf44 @t2)) % 0.38/0.70 (define @t40 () (@var "V" $$unsorted)) % 0.38/0.70 (define @t41 () (@list @t2 @t40)) % 0.38/0.70 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.38/0.70 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.38/0.70 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.38/0.70 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.38/0.70 (define @t46 () (not (tptp.ssItem @t2))) % 0.38/0.70 (define @t47 () (not (tptp.ssList @t2))) % 0.38/0.70 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.38/0.70 (define @t49 () (tptp.ssItem @t40)) % 0.38/0.70 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.38/0.70 (define @t51 () (tptp.app tptp.nil @t2)) % 0.38/0.70 (define @t52 () (or @t47 (= @t51 @t2))) % 0.38/0.70 (define @t53 () (forall @t4 @t52)) % 0.38/0.70 (define @t54 () (= tptp.nil @t2)) % 0.38/0.70 (define @t55 () (tptp.tl @t2)) % 0.38/0.70 (define @t56 () (tptp.hd @t2)) % 0.38/0.70 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 0.38/0.70 (define @t58 () (not @t54)) % 0.38/0.70 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 0.38/0.70 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 0.38/0.70 (define @t61 () (tptp.app @t40 @t2)) % 0.38/0.70 (define @t62 () (not (tptp.ssList @t40))) % 0.38/0.70 (define @t63 () (tptp.cons @t2 @t40)) % 0.38/0.70 (define @t64 () (tptp.cyclefreeP @t2)) % 0.38/0.70 (define @t65 () (tptp.equalelemsP @t2)) % 0.38/0.70 (define @t66 () (tptp.strictorderedP @t2)) % 0.38/0.70 (define @t67 () (tptp.totalorderedP @t2)) % 0.38/0.70 (define @t68 () (tptp.strictorderP @t2)) % 0.38/0.70 (define @t69 () (tptp.totalorderP @t2)) % 0.38/0.70 (define @t70 () (tptp.tl @t63)) % 0.38/0.70 (define @t71 () (or @t46 @t62 (= @t70 @t40))) % 0.38/0.70 (define @t72 () (forall @t41 @t71)) % 0.38/0.70 (define @t73 () (not (= @t63 tptp.nil))) % 0.38/0.70 (define @t74 () (or @t73 @t46 @t62)) % 0.38/0.70 (define @t75 () (forall @t41 @t74)) % 0.38/0.70 (define @t76 () (= @t40 @t2)) % 0.38/0.70 (define @t77 () (tptp.neq @t40 @t2)) % 0.38/0.70 (define @t78 () (or @t47 @t62 @t77 @t76)) % 0.38/0.70 (define @t79 () (forall @t41 @t78)) % 0.38/0.70 (define @t80 () (not @t49)) % 0.38/0.70 (define @t81 () (tptp.leq @t2 @t40)) % 0.38/0.70 (define @t82 () (tptp.lt @t2 @t40)) % 0.38/0.70 (define @t83 () (not @t82)) % 0.38/0.70 (define @t84 () (tptp.lt @t40 @t2)) % 0.38/0.70 (define @t85 () (not (tptp.gt @t2 @t40))) % 0.38/0.70 (define @t86 () (tptp.gt @t40 @t2)) % 0.38/0.70 (define @t87 () (tptp.leq @t40 @t2)) % 0.38/0.70 (define @t88 () (not (tptp.geq @t2 @t40))) % 0.38/0.70 (define @t89 () (tptp.geq @t40 @t2)) % 0.38/0.70 (define @t90 () (not @t81)) % 0.38/0.70 (define @t91 () (= @t2 @t40)) % 0.38/0.70 (define @t92 () (not @t91)) % 0.38/0.70 (define @t93 () (tptp.cons @t40 @t2)) % 0.38/0.70 (define @t94 () (not (tptp.neq @t2 @t40))) % 0.38/0.70 (define @t95 () (tptp.app @t2 @t40)) % 0.38/0.70 (define @t96 () (= @t95 tptp.nil)) % 0.38/0.70 (define @t97 () (not @t96)) % 0.38/0.70 (define @t98 () (or @t97 @t62 @t47 @t54)) % 0.38/0.70 (define @t99 () (forall @t41 @t98)) % 0.38/0.70 (define @t100 () (= tptp.nil @t40)) % 0.38/0.70 (define @t101 () (tptp.hd @t40)) % 0.38/0.70 (define @t102 () (tptp.strictorderedP @t40)) % 0.38/0.70 (define @t103 () (tptp.strictorderedP @t63)) % 0.38/0.70 (define @t104 () (not @t103)) % 0.38/0.70 (define @t105 () (tptp.totalorderedP @t40)) % 0.38/0.70 (define @t106 () (tptp.totalorderedP @t63)) % 0.38/0.70 (define @t107 () (not @t106)) % 0.38/0.70 (define @t108 () (not (tptp.segmentP @t2 @t40))) % 0.38/0.70 (define @t109 () (not (tptp.rearsegP @t2 @t40))) % 0.38/0.70 (define @t110 () (not (tptp.frontsegP @t2 @t40))) % 0.38/0.70 (define @t111 () (not @t87)) % 0.38/0.70 (define @t112 () (tptp.tl @t40)) % 0.38/0.70 (define @t113 () (tptp.lt @t2 @t101)) % 0.38/0.70 (define @t114 () (tptp.leq @t2 @t101)) % 0.38/0.70 (define @t115 () (@var "W" $$unsorted)) % 0.38/0.70 (define @t116 () (tptp.app @t115 @t2)) % 0.38/0.70 (define @t117 () (not (tptp.ssList @t115))) % 0.38/0.70 (define @t118 () (@list @t2 @t40 @t115)) % 0.38/0.70 (define @t119 () (tptp.app @t2 @t115)) % 0.38/0.70 (define @t120 () (tptp.cons @t40 @t115)) % 0.38/0.70 (define @t121 () (tptp.cons @t115 @t2)) % 0.38/0.70 (define @t122 () (not (tptp.ssItem @t115))) % 0.38/0.70 (define @t123 () (not (tptp.memberP @t2 @t40))) % 0.38/0.70 (define @t124 () (not (= @t95 @t115))) % 0.38/0.70 (define @t125 () (tptp.lt @t2 @t115)) % 0.38/0.70 (define @t126 () (not (tptp.lt @t40 @t115))) % 0.38/0.70 (define @t127 () (tptp.app @t115 @t40)) % 0.38/0.70 (define @t128 () (= @t40 @t115)) % 0.38/0.70 (define @t129 () (= @t2 @t115)) % 0.38/0.70 (define @t130 () (tptp.memberP @t40 @t115)) % 0.38/0.70 (define @t131 () (@var "X" $$unsorted)) % 0.38/0.70 (define @t132 () (not (tptp.ssList @t131))) % 0.38/0.70 (define @t133 () (tptp.cons @t115 @t131)) % 0.38/0.70 (define @t134 () (not (= @t63 @t133))) % 0.38/0.70 (define @t135 () (@list @t2 @t40 @t115 @t131)) % 0.38/0.70 (define @t136 () (not (tptp.frontsegP @t63 @t133))) % 0.38/0.70 (define @t137 () (tptp.app @t2 @t120)) % 0.38/0.70 (define @t138 () (not (tptp.ssItem @t131))) % 0.38/0.70 (define @t139 () (@var "Y" $$unsorted)) % 0.38/0.70 (define @t140 () (not (tptp.ssList @t139))) % 0.38/0.70 (define @t141 () (@list @t2 @t40 @t115 @t131 @t139)) % 0.38/0.70 (define @t142 () (tptp.lt @t40 @t131)) % 0.38/0.70 (define @t143 () (@var "Z" $$unsorted)) % 0.38/0.70 (define @t144 () (not (tptp.ssList @t143))) % 0.38/0.70 (define @t145 () (not (= (tptp.app @t137 (tptp.cons @t131 @t139)) @t143))) % 0.38/0.70 (define @t146 () (@list @t2 @t40 @t115 @t131 @t139 @t143)) % 0.38/0.70 (define @t147 () (tptp.leq @t40 @t131)) % 0.38/0.70 (define @t148 () (tptp.ssList tptp.sk2)) % 0.38/0.70 (define @t149 () (tptp.neq tptp.sk2 tptp.nil)) % 0.38/0.70 (define @t150 () (or @t149 @t149)) % 0.38/0.70 (define @t151 () (tptp.neq tptp.sk4 tptp.nil)) % 0.38/0.70 (define @t152 () (not @t151)) % 0.38/0.70 (define @t153 () (tptp.neq tptp.nil tptp.sk2)) % 0.38/0.70 (define @t154 () (not @t153)) % 0.38/0.70 (define @t155 () (@var "A" $$unsorted)) % 0.38/0.70 (define @t156 () (@var "B" $$unsorted)) % 0.38/0.70 (define @t157 () (tptp.app tptp.sk1 @t156)) % 0.38/0.70 (define @t158 () (not (= @t157 @t155))) % 0.38/0.70 (define @t159 () (tptp.tl tptp.sk2)) % 0.38/0.70 (define @t160 () (not (= @t159 @t156))) % 0.38/0.70 (define @t161 () (not (tptp.ssList @t156))) % 0.38/0.70 (define @t162 () (not (= tptp.sk2 @t155))) % 0.38/0.70 (define @t163 () (not (tptp.ssList @t155))) % 0.38/0.70 (define @t164 () (@list @t155 @t156)) % 0.38/0.70 (define @t165 () (tptp.ssItem tptp.sk5)) % 0.38/0.70 (define @t166 () (tptp.ssList tptp.sk6)) % 0.38/0.70 (define @t167 () (tptp.cons tptp.sk5 tptp.nil)) % 0.38/0.70 (define @t168 () (= @t167 tptp.sk3)) % 0.38/0.70 (define @t169 () (tptp.app @t167 tptp.sk6)) % 0.38/0.70 (define @t170 () (= @t169 tptp.sk4)) % 0.38/0.70 (define @t171 () (or @t163 @t162 @t161 @t160 @t158 @t154 @t152)) % 0.38/0.70 (define @t172 () (forall @t164 @t171)) % 0.38/0.70 (define @t173 () (or @t168 @t152)) % 0.38/0.70 (define @t174 () (or @t170 @t152)) % 0.38/0.70 (define @t175 () (= tptp.sk4 @t169)) % 0.38/0.70 (define @t176 () (@list false)) % 0.38/0.70 (define @t177 () (@list @t151)) % 0.38/0.70 (define @t178 () (tptp.tl @t169)) % 0.38/0.70 (define @t179 () (= tptp.sk3 @t167)) % 0.38/0.70 (define @t180 () (tptp.ssList @t167)) % 0.38/0.70 (define @t181 () (@list tptp.sk5 tptp.nil)) % 0.38/0.70 (define @t182 () (not @t1)) % 0.38/0.70 (define @t183 () (not @t165)) % 0.38/0.70 (define @t184 () (= tptp.nil @t167)) % 0.38/0.70 (define @t185 () (not @t184)) % 0.38/0.70 (define @t186 () (or @t185 @t183 @t182)) % 0.38/0.70 (define @t187 () (@list false false false)) % 0.38/0.70 (define @t188 () (tptp.tl @t167)) % 0.38/0.70 (define @t189 () (tptp.app @t188 tptp.sk6)) % 0.38/0.70 (define @t190 () (= @t178 @t189)) % 0.38/0.70 (define @t191 () (not @t180)) % 0.38/0.70 (define @t192 () (not @t166)) % 0.38/0.70 (define @t193 () (or @t192 @t191 @t184 @t190)) % 0.38/0.70 (define @t194 () (@list false true false false)) % 0.38/0.70 (define @t195 () (= tptp.nil @t188)) % 0.38/0.70 (define @t196 () (or @t183 @t182 @t195)) % 0.38/0.70 (define @t197 () (tptp.app tptp.nil tptp.sk6)) % 0.38/0.70 (define @t198 () (= tptp.sk6 @t197)) % 0.38/0.70 (define @t199 () (or @t192 @t198)) % 0.38/0.70 (define @t200 () (tptp.ssList @t159)) % 0.38/0.70 (define @t201 () (not @t148)) % 0.38/0.70 (define @t202 () (or @t201 @t182 @t153 (= tptp.sk2 tptp.nil))) % 0.38/0.70 (define @t203 () (forall @t41 (or @t47 @t62 @t77 @t91))) % 0.38/0.70 (define @t204 () (= tptp.nil tptp.sk2)) % 0.38/0.70 (define @t205 () (or @t201 @t182 @t153 @t204)) % 0.38/0.70 (define @t206 () (not (= tptp.nil @t169))) % 0.38/0.70 (define @t207 () (or @t206 @t192 @t191 @t184)) % 0.38/0.70 (define @t208 () (= tptp.sk2 (tptp.app tptp.sk1 @t159))) % 0.38/0.70 (define @t209 () (not @t208)) % 0.38/0.70 (define @t210 () (not @t200)) % 0.38/0.70 (define @t211 () (or @t201 @t210 @t209)) % 0.38/0.70 (define @t212 () (or @t210 @t209)) % 0.38/0.70 (define @t213 () (not (= @t159 @t159))) % 0.38/0.70 (define @t214 () (or @t210 @t213 @t209)) % 0.38/0.70 (define @t215 () (not (= tptp.sk2 @t157))) % 0.38/0.70 (define @t216 () (not (= @t156 @t159))) % 0.38/0.70 (define @t217 () (or @t216 @t161 @t216 @t215)) % 0.38/0.70 (define @t218 () (@list @t156)) % 0.38/0.70 (define @t219 () (or @t161 @t216 @t215)) % 0.38/0.70 (define @t220 () (forall @t218 @t219)) % 0.38/0.70 (define @t221 () (or @t201 @t220)) % 0.38/0.70 (define @t222 () (or @t201 @t219)) % 0.38/0.70 (define @t223 () (or @t201 @t161 @t216 @t215)) % 0.38/0.70 (define @t224 () (not (= tptp.sk2 tptp.sk2))) % 0.38/0.70 (define @t225 () (or @t201 @t224 @t161 @t216 @t215)) % 0.38/0.70 (define @t226 () (not (= @t155 @t157))) % 0.38/0.70 (define @t227 () (@list @t155)) % 0.38/0.70 (define @t228 () (or @t162 @t163 @t162 @t161 @t216 @t226)) % 0.38/0.70 (define @t229 () (or @t163 @t162 @t161 @t216 @t226)) % 0.38/0.70 (define @t230 () (forall @t227 @t229)) % 0.38/0.70 (define @t231 () (forall @t218 @t230)) % 0.38/0.70 (define @t232 () (forall (@list @t156 @t155) @t229)) % 0.38/0.70 (define @t233 () (forall @t164 @t229)) % 0.38/0.70 (define @t234 () (or @t154 @t152 @t233)) % 0.38/0.70 (define @t235 () (or @t154 @t152 @t229)) % 0.38/0.70 (define @t236 () (or @t163 @t162 @t161 @t216 @t226 @t154 @t152)) % 0.38/0.70 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.38/0.70 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.38/0.70 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.38/0.70 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.38/0.70 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.38/0.70 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.38/0.70 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.38/0.70 (assume @p8 @t1) % 0.38/0.70 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.38/0.70 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.38/0.70 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.38/0.70 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.38/0.70 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.38/0.70 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.38/0.70 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.38/0.70 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.38/0.70 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.38/0.70 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.38/0.70 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.38/0.70 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.38/0.70 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.38/0.70 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.38/0.70 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.38/0.70 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.38/0.70 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.38/0.70 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.38/0.70 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.38/0.70 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.38/0.70 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.38/0.70 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.38/0.70 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.38/0.70 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.38/0.70 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.38/0.70 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.38/0.70 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.38/0.70 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.38/0.70 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.38/0.70 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.38/0.70 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.38/0.70 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.38/0.70 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.38/0.70 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.38/0.70 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.38/0.70 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.38/0.70 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.38/0.70 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.38/0.70 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.38/0.70 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.38/0.70 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.38/0.70 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.38/0.70 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.38/0.70 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.38/0.70 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.38/0.70 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.38/0.70 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.38/0.70 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.38/0.70 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.38/0.70 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.38/0.70 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.38/0.70 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.38/0.70 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.38/0.70 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.38/0.70 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.38/0.70 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.38/0.70 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.38/0.70 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.38/0.70 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.38/0.70 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.38/0.70 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.38/0.70 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.38/0.70 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.38/0.70 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.38/0.70 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.38/0.70 (assume @p74 @t53) % 0.38/0.70 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 0.38/0.70 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 0.38/0.70 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 0.38/0.70 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 0.38/0.70 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 0.38/0.70 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 0.38/0.70 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 0.38/0.70 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 0.38/0.70 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 0.38/0.70 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 0.38/0.70 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 0.38/0.70 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 0.38/0.70 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 0.38/0.70 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 0.38/0.70 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 0.38/0.70 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 0.38/0.70 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 0.38/0.70 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 0.38/0.70 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 0.38/0.70 (assume @p94 @t72) % 0.38/0.70 (assume @p95 (forall @t41 (or @t46 @t62 (= (tptp.hd @t63) @t2)))) % 0.38/0.70 (assume @p96 @t75) % 0.38/0.70 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 0.38/0.70 (assume @p98 @t79) % 0.38/0.70 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.38/0.70 (assume @p100 (forall @t41 (or @t46 @t80 @t77 @t76))) % 0.38/0.70 (assume @p101 (forall @t41 (or @t83 @t80 @t46 @t81))) % 0.38/0.70 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 0.38/0.70 (assume @p103 (forall @t41 (or @t85 @t80 @t46 @t84))) % 0.38/0.70 (assume @p104 (forall @t41 (or @t83 @t46 @t80 @t86))) % 0.38/0.70 (assume @p105 (forall @t41 (or @t88 @t80 @t46 @t87))) % 0.38/0.70 (assume @p106 (forall @t41 (or @t90 @t46 @t80 @t89))) % 0.38/0.70 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 0.38/0.70 (assume @p108 (forall @t41 (or @t85 (not @t86) @t46 @t80))) % 0.38/0.70 (assume @p109 (forall @t41 (or @t92 @t83 @t80 @t46))) % 0.38/0.70 (assume @p110 (forall @t41 (or @t58 @t47 @t80 (tptp.strictorderedP @t93)))) % 0.38/0.70 (assume @p111 (forall @t41 (or @t58 @t47 @t80 (tptp.totalorderedP @t93)))) % 0.38/0.70 (assume @p112 (forall @t41 (or @t83 (not @t84) @t46 @t80))) % 0.38/0.70 (assume @p113 (forall @t41 (or @t92 @t94 @t62 @t47))) % 0.38/0.70 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 0.38/0.70 (assume @p115 (forall @t41 (or @t92 @t94 @t80 @t46))) % 0.38/0.70 (assume @p116 @t99) % 0.38/0.70 (assume @p117 (forall @t41 (or @t97 @t62 @t47 @t100))) % 0.38/0.70 (assume @p118 (forall @t41 (or @t46 @t62 (= (tptp.app @t48 @t40) @t63)))) % 0.38/0.70 (assume @p119 (forall @t41 (or @t90 @t80 @t46 @t82 @t91))) % 0.38/0.70 (assume @p120 (forall @t41 (or @t47 @t62 @t100 (= (tptp.hd @t61) @t101)))) % 0.38/0.70 (assume @p121 (forall @t41 (or @t104 @t62 @t46 @t102 @t100))) % 0.38/0.70 (assume @p122 (forall @t41 (or @t107 @t62 @t46 @t105 @t100))) % 0.38/0.70 (assume @p123 (forall @t41 (or @t88 (not @t89) @t46 @t80 @t76))) % 0.38/0.70 (assume @p124 (forall @t41 (or @t108 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t76))) % 0.38/0.70 (assume @p125 (forall @t41 (or @t109 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t76))) % 0.38/0.70 (assume @p126 (forall @t41 (or @t110 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t76))) % 0.38/0.70 (assume @p127 (forall @t41 (or @t90 @t111 @t46 @t80 @t76))) % 0.38/0.70 (assume @p128 (forall @t41 (or @t109 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.38/0.70 (assume @p129 (forall @t41 (or @t110 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.38/0.70 (assume @p130 (forall @t41 (or @t47 @t62 @t100 (= (tptp.tl @t61) (tptp.app @t112 @t2))))) % 0.38/0.70 (assume @p131 (forall @t41 (or @t104 @t62 @t46 @t113 @t100))) % 0.38/0.70 (assume @p132 (forall @t41 (or @t107 @t62 @t46 @t114 @t100))) % 0.38/0.70 (assume @p133 (forall @t118 (or @t109 @t117 @t62 @t47 (tptp.rearsegP @t116 @t40)))) % 0.38/0.70 (assume @p134 (forall @t118 (or @t110 @t117 @t62 @t47 (tptp.frontsegP @t119 @t40)))) % 0.38/0.70 (assume @p135 (forall @t118 (or @t92 @t117 @t80 @t46 (tptp.memberP @t120 @t2)))) % 0.38/0.70 (assume @p136 (forall @t118 (or @t123 @t47 @t122 @t80 (tptp.memberP @t121 @t40)))) % 0.38/0.70 (assume @p137 (forall @t118 (or @t123 @t117 @t47 @t80 (tptp.memberP @t119 @t40)))) % 0.38/0.70 (assume @p138 (forall @t118 (or @t123 @t47 @t117 @t80 (tptp.memberP @t116 @t40)))) % 0.38/0.70 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.38/0.70 (assume @p140 (forall @t118 (or @t124 @t47 @t62 @t117 (tptp.rearsegP @t115 @t40)))) % 0.38/0.70 (assume @p141 (forall @t118 (or @t124 @t62 @t47 @t117 (tptp.frontsegP @t115 @t2)))) % 0.38/0.70 (assume @p142 (forall @t41 (or @t58 (not @t100) @t62 @t47 @t96))) % 0.38/0.70 (assume @p143 (forall @t118 (or @t85 (not (tptp.gt @t40 @t115)) @t122 @t80 @t46 (tptp.gt @t2 @t115)))) % 0.38/0.70 (assume @p144 (forall @t118 (or @t90 @t126 @t122 @t80 @t46 @t125))) % 0.38/0.70 (assume @p145 (forall @t118 (or @t88 (not (tptp.geq @t40 @t115)) @t122 @t80 @t46 (tptp.geq @t2 @t115)))) % 0.38/0.70 (assume @p146 (forall @t118 (or @t47 @t62 @t117 (= (tptp.app @t127 @t2) (tptp.app @t115 @t61))))) % 0.38/0.70 (assume @p147 (forall @t118 (or (not (= @t95 @t119)) @t62 @t47 @t117 @t128))) % 0.38/0.70 (assume @p148 (forall @t118 (or (not (= @t95 @t127)) @t47 @t62 @t117 @t129))) % 0.38/0.70 (assume @p149 (forall @t118 (or @t108 (not (tptp.segmentP @t40 @t115)) @t117 @t62 @t47 (tptp.segmentP @t2 @t115)))) % 0.38/0.70 (assume @p150 (forall @t118 (or @t109 (not (tptp.rearsegP @t40 @t115)) @t117 @t62 @t47 (tptp.rearsegP @t2 @t115)))) % 0.38/0.70 (assume @p151 (forall @t118 (or @t110 (not (tptp.frontsegP @t40 @t115)) @t117 @t62 @t47 (tptp.frontsegP @t2 @t115)))) % 0.38/0.70 (assume @p152 (forall @t118 (or @t83 @t126 @t122 @t80 @t46 @t125))) % 0.38/0.70 (assume @p153 (forall @t118 (or @t90 (not (tptp.leq @t40 @t115)) @t122 @t80 @t46 (tptp.leq @t2 @t115)))) % 0.38/0.70 (assume @p154 (forall @t118 (or @t46 @t62 @t117 (= (tptp.cons @t2 (tptp.app @t40 @t115)) (tptp.app @t63 @t115))))) % 0.38/0.70 (assume @p155 (forall @t118 (or (not (tptp.memberP @t95 @t115)) @t62 @t47 @t122 @t130 (tptp.memberP @t2 @t115)))) % 0.38/0.70 (assume @p156 (forall @t41 (or (not @t114) (not @t105) @t62 @t46 @t106 @t100))) % 0.38/0.70 (assume @p157 (forall @t41 (or (not @t113) (not @t102) @t62 @t46 @t103 @t100))) % 0.38/0.70 (assume @p158 (forall @t118 (or (not (tptp.memberP @t63 @t115)) @t62 @t46 @t122 @t130 (= @t115 @t2)))) % 0.38/0.70 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.38/0.70 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.38/0.70 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.38/0.70 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.38/0.70 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.38/0.70 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.38/0.70 (assume @p165 (forall @t41 (or @t108 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.38/0.70 (assume @p166 (forall @t41 (or @t123 @t80 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.38/0.70 (assume @p167 (forall @t135 (or @t134 @t122 @t46 @t132 @t62 @t129))) % 0.38/0.70 (assume @p168 (forall @t135 (or @t134 @t122 @t46 @t132 @t62 (= @t131 @t40)))) % 0.38/0.70 (assume @p169 (forall @t135 (or @t108 @t117 @t132 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t131 @t2) @t115) @t40)))) % 0.38/0.70 (assume @p170 (forall @t135 (or (not (= (tptp.app @t95 @t115) @t131)) @t117 @t47 @t62 @t132 (tptp.segmentP @t131 @t40)))) % 0.38/0.70 (assume @p171 (forall @t135 (or @t136 @t132 @t62 @t122 @t46 (tptp.frontsegP @t40 @t131)))) % 0.38/0.70 (assume @p172 (forall @t135 (or (not (= @t137 @t131)) @t117 @t47 @t80 @t132 (tptp.memberP @t131 @t40)))) % 0.38/0.70 (assume @p173 (forall @t135 (or @t136 @t132 @t62 @t122 @t46 @t129))) % 0.38/0.70 (assume @p174 (forall @t41 (or (not (= @t55 @t112)) (not (= @t56 @t101)) @t47 @t62 @t100 @t91 @t54))) % 0.38/0.70 (assume @p175 (forall @t135 (or @t110 (not (= @t115 @t131)) @t62 @t47 @t138 @t122 (tptp.frontsegP @t121 (tptp.cons @t131 @t40))))) % 0.38/0.70 (assume @p176 (forall @t141 (or (not (= (tptp.app @t137 (tptp.cons @t40 @t131)) @t139)) @t132 @t117 @t47 @t80 (not (tptp.duplicatefreeP @t139)) @t140))) % 0.38/0.70 (assume @p177 (forall @t141 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t133)) @t139)) @t132 @t47 @t122 @t80 (not (tptp.equalelemsP @t139)) @t140 @t128))) % 0.38/0.70 (assume @p178 (forall @t146 (or @t145 @t140 @t117 @t47 @t138 @t80 (not (tptp.strictorderedP @t143)) @t144 @t142))) % 0.38/0.70 (assume @p179 (forall @t146 (or @t145 @t140 @t117 @t47 @t138 @t80 (not (tptp.totalorderedP @t143)) @t144 @t147))) % 0.38/0.70 (assume @p180 (forall @t146 (or @t145 @t140 @t117 @t47 @t138 @t80 (not (tptp.strictorderP @t143)) @t144 @t142 (tptp.lt @t131 @t40)))) % 0.38/0.70 (assume @p181 (forall @t146 (or @t145 @t140 @t117 @t47 @t138 @t80 (not (tptp.totalorderP @t143)) @t144 @t147 (tptp.leq @t131 @t40)))) % 0.38/0.70 (assume @p182 (forall @t146 (or @t90 @t111 (not (= (tptp.app (tptp.app @t115 (tptp.cons @t2 @t131)) (tptp.cons @t40 @t139)) @t143)) @t140 @t132 @t117 @t80 @t46 (not (tptp.cyclefreeP @t143)) @t144))) % 0.38/0.70 (assume @p183 (tptp.ssList tptp.sk1)) % 0.38/0.70 (assume @p184 @t148) % 0.38/0.70 (assume @p185 (tptp.ssList tptp.sk3)) % 0.38/0.70 (assume @p186 (tptp.ssList tptp.sk4)) % 0.38/0.70 (assume @p187 (= tptp.sk2 tptp.sk4)) % 0.38/0.70 (assume @p188 (= tptp.sk1 tptp.sk3)) % 0.38/0.70 (assume @p189 @t150) % 0.38/0.70 (assume @p190 (or @t149 @t152)) % 0.38/0.70 (assume @p191 (forall @t164 (or @t163 @t162 @t161 @t160 @t158 @t154 @t149))) % 0.38/0.70 (assume @p192 (or @t165 @t149)) % 0.38/0.70 (assume @p193 (or @t166 @t149)) % 0.38/0.70 (assume @p194 (or @t168 @t149)) % 0.38/0.70 (assume @p195 (or @t170 @t149)) % 0.38/0.70 (assume @p196 @t172) % 0.38/0.70 (assume @p197 (or @t165 @t152)) % 0.38/0.70 (assume @p198 (or @t166 @t152)) % 0.38/0.70 (assume @p199 @t173) % 0.38/0.70 (assume @p200 @t174) % 0.38/0.70 (step @p201 :rule symm :premises (@p187)) % 0.38/0.70 (step @p202 :rule aci_norm :args ((= @t150 @t149))) % 0.38/0.70 (step @p203 :rule eq_resolve :premises (@p189 @p202)) % 0.38/0.70 (step @p204 :rule true_intro :premises (@p203)) % 0.38/0.70 (step @p205 :rule refl :args (tptp.nil)) % 0.38/0.70 (step @p206 :rule cong :premises (@p201 @p205) :args (@t151)) % 0.38/0.70 (step @p207 :rule trans :premises (@p206 @p204)) % 0.38/0.70 (step @p208 :rule true_elim :premises (@p207)) % 0.38/0.70 (step @p209 :rule refl :args (@t152)) % 0.38/0.70 (step @p210 :rule eq-symm :args (@t169 tptp.sk4)) % 0.38/0.70 (step @p211 :rule nary_cong :premises (@p210 @p209) :args (@t174)) % 0.38/0.70 (step @p212 :rule eq_resolve :premises (@p200 @p211)) % 0.38/0.70 (step @p213 :rule reordering :premises (@p212) :args ((or @t152 @t175))) % 0.38/0.70 (step @p214 :rule chain_m_resolution :premises (@p213 @p208) :args (@t175 @t176 @t177)) % 0.38/0.70 (step @p215 :rule symm :premises (@p214)) % 0.38/0.70 (step @p216 :rule trans :premises (@p215 @p201)) % 0.38/0.70 (step @p217 :rule cong :premises (@p216) :args (@t178)) % 0.38/0.70 (step @p218 :rule instantiate :premises (@p130) :args ((@list tptp.sk6 @t167))) % 0.38/0.70 (step @p219 :rule true_intro :premises (@p183)) % 0.38/0.70 (step @p220 :rule symm :premises (@p188)) % 0.38/0.70 (step @p221 :rule eq-symm :args (@t167 tptp.sk3)) % 0.38/0.70 (step @p222 :rule nary_cong :premises (@p221 @p209) :args (@t173)) % 0.38/0.70 (step @p223 :rule eq_resolve :premises (@p199 @p222)) % 0.38/0.70 (step @p224 :rule reordering :premises (@p223) :args ((or @t152 @t179))) % 0.38/0.70 (step @p225 :rule chain_m_resolution :premises (@p224 @p208) :args (@t179 @t176 @t177)) % 0.38/0.70 (step @p226 :rule symm :premises (@p225)) % 0.38/0.70 (step @p227 :rule trans :premises (@p226 @p220)) % 0.38/0.70 (step @p228 :rule cong :premises (@p227) :args (@t180)) % 0.38/0.70 (step @p229 :rule trans :premises (@p228 @p219)) % 0.38/0.70 (step @p230 :rule true_elim :premises (@p229)) % 0.38/0.70 (step @p231 :rule refl :args (@t62)) % 0.38/0.70 (step @p232 :rule refl :args (@t46)) % 0.38/0.70 (step @p233 :rule eq-symm :args (@t63 tptp.nil)) % 0.38/0.70 (step @p234 :rule cong :premises (@p233) :args (@t73)) % 0.38/0.70 (step @p235 :rule nary_cong :premises (@p234 @p232 @p231) :args (@t74)) % 0.38/0.70 (step @p236 :rule cong :premises (@p235) :args (@t75)) % 0.38/0.70 (step @p237 :rule eq_resolve :premises (@p96 @p236)) % 0.38/0.70 (step @p238 :rule instantiate :premises (@p237) :args (@t181)) % 0.38/0.70 (step @p239 :rule reordering :premises (@p197) :args ((or @t152 @t165))) % 0.38/0.70 (step @p240 :rule chain_m_resolution :premises (@p239 @p208) :args (@t165 @t176 @t177)) % 0.38/0.70 (step @p241 :rule cnf_or_pos :args (@t186)) % 0.38/0.70 (step @p242 :rule reordering :premises (@p241) :args ((or @t182 @t183 @t185 (not @t186)))) % 0.38/0.70 (step @p243 :rule chain_m_resolution :premises (@p242 @p8 @p240 @p238) :args (@t185 @t187 (@list @t1 @t165 @t186))) % 0.38/0.70 (step @p244 :rule reordering :premises (@p198) :args ((or @t152 @t166))) % 0.38/0.70 (step @p245 :rule chain_m_resolution :premises (@p244 @p208) :args (@t166 @t176 @t177)) % 0.38/0.70 (step @p246 :rule cnf_or_pos :args (@t193)) % 0.38/0.70 (step @p247 :rule reordering :premises (@p246) :args ((or @t192 @t184 @t191 @t190 (not @t193)))) % 0.38/0.70 (step @p248 :rule chain_m_resolution :premises (@p247 @p245 @p243 @p230 @p218) :args (@t190 @t194 (@list @t166 @t184 @t180 @t193))) % 0.38/0.70 (step @p249 :rule symm :premises (@p248)) % 0.38/0.70 (step @p250 :rule refl :args (tptp.sk6)) % 0.38/0.70 (step @p251 :rule eq-symm :args (@t70 @t40)) % 0.38/0.70 (step @p252 :rule nary_cong :premises (@p232 @p231 @p251) :args (@t71)) % 0.38/0.70 (step @p253 :rule cong :premises (@p252) :args (@t72)) % 0.38/0.70 (step @p254 :rule eq_resolve :premises (@p94 @p253)) % 0.38/0.70 (step @p255 :rule instantiate :premises (@p254) :args (@t181)) % 0.38/0.70 (step @p256 :rule cnf_or_pos :args (@t196)) % 0.38/0.70 (step @p257 :rule reordering :premises (@p256) :args ((or @t182 @t183 @t195 (not @t196)))) % 0.38/0.70 (step @p258 :rule chain_m_resolution :premises (@p257 @p8 @p240 @p255) :args (@t195 @t187 (@list @t1 @t165 @t196))) % 0.38/0.70 (step @p259 :rule cong :premises (@p258 @p250) :args (@t197)) % 0.38/0.70 (step @p260 :rule eq-symm :args (@t51 @t2)) % 0.38/0.70 (step @p261 :rule refl :args (@t47)) % 0.38/0.70 (step @p262 :rule nary_cong :premises (@p261 @p260) :args (@t52)) % 0.38/0.70 (step @p263 :rule cong :premises (@p262) :args (@t53)) % 0.38/0.70 (step @p264 :rule eq_resolve :premises (@p74 @p263)) % 0.38/0.70 (step @p265 :rule instantiate :premises (@p264) :args ((@list tptp.sk6))) % 0.38/0.70 (step @p266 :rule cnf_or_pos :args (@t199)) % 0.38/0.70 (step @p267 :rule reordering :premises (@p266) :args ((or @t192 @t198 (not @t199)))) % 0.38/0.70 (step @p268 :rule chain_m_resolution :premises (@p267 @p245 @p265) :args (@t198 (@list false false) (@list @t166 @t199))) % 0.38/0.70 (step @p269 :rule trans :premises (@p268 @p259 @p249 @p217)) % 0.38/0.70 (step @p270 :rule cong :premises (@p227 @p269) :args (@t169)) % 0.38/0.70 (step @p271 :rule trans :premises (@p187 @p214 @p270)) % 0.38/0.70 (step @p272 :rule true_intro :premises (@p245)) % 0.38/0.70 (step @p273 :rule symm :premises (@p268)) % 0.38/0.70 (step @p274 :rule symm :premises (@p258)) % 0.38/0.70 (step @p275 :rule cong :premises (@p274 @p250) :args (@t189)) % 0.38/0.70 (step @p276 :rule trans :premises (@p187 @p214)) % 0.38/0.70 (step @p277 :rule cong :premises (@p276) :args (@t159)) % 0.38/0.70 (step @p278 :rule trans :premises (@p277 @p248 @p275 @p273)) % 0.38/0.70 (step @p279 :rule cong :premises (@p278) :args (@t200)) % 0.38/0.70 (step @p280 :rule trans :premises (@p279 @p272)) % 0.38/0.70 (step @p281 :rule true_elim :premises (@p280)) % 0.38/0.70 (step @p282 :rule eq-symm :args (@t40 @t2)) % 0.38/0.70 (step @p283 :rule refl :args (@t77)) % 0.38/0.70 (step @p284 :rule nary_cong :premises (@p261 @p231 @p283 @p282) :args (@t78)) % 0.38/0.70 (step @p285 :rule cong :premises (@p284) :args (@t79)) % 0.38/0.70 (step @p286 :rule eq_resolve :premises (@p98 @p285)) % 0.38/0.70 (step @p287 :rule eq-symm :args (tptp.sk2 tptp.nil)) % 0.38/0.70 (step @p288 :rule refl :args (@t153)) % 0.38/0.70 (step @p289 :rule refl :args (@t182)) % 0.38/0.70 (step @p290 :rule refl :args (@t201)) % 0.38/0.70 (step @p291 :rule nary_cong :premises (@p290 @p289 @p288 @p287) :args (@t202)) % 0.38/0.70 (step @p292 :rule refl :args (@t203)) % 0.38/0.70 (step @p293 :rule cong :premises (@p292 @p291) :args ((=> @t203 @t202))) % 0.38/0.70 (assume-push @p391 @t203) % 0.38/0.70 (step @p295 :rule instantiate :premises (@p286) :args ((@list tptp.sk2 tptp.nil))) % 0.38/0.70 (step-pop @p392 :rule scope :premises (@p295)) % 0.38/0.70 (step @p296 :rule process_scope :premises (@p392) :args (@t202)) % 0.38/0.70 (step @p298 :rule eq_resolve :premises (@p296 @p293)) % 0.38/0.70 (step @p299 :rule implies_elim :premises (@p298)) % 0.38/0.70 (step @p300 :rule chain_m_resolution :premises (@p299 @p286) :args (@t205 @t176 (@list @t203))) % 0.38/0.70 (step @p301 :rule refl :args (@t54)) % 0.38/0.70 (step @p302 :rule eq-symm :args (@t95 tptp.nil)) % 0.38/0.70 (step @p303 :rule cong :premises (@p302) :args (@t97)) % 0.38/0.70 (step @p304 :rule nary_cong :premises (@p303 @p231 @p261 @p301) :args (@t98)) % 0.38/0.70 (step @p305 :rule cong :premises (@p304) :args (@t99)) % 0.38/0.70 (step @p306 :rule eq_resolve :premises (@p116 @p305)) % 0.38/0.70 (step @p307 :rule instantiate :premises (@p306) :args ((@list @t167 tptp.sk6))) % 0.38/0.70 (step @p308 :rule cnf_or_pos :args (@t207)) % 0.38/0.70 (step @p309 :rule reordering :premises (@p308) :args ((or @t192 @t184 @t191 @t206 (not @t207)))) % 0.38/0.70 (step @p310 :rule chain_m_resolution :premises (@p309 @p245 @p243 @p230 @p307) :args (@t206 @t194 (@list @t166 @t184 @t180 @t207))) % 0.38/0.70 (step @p311 :rule false_intro :premises (@p310)) % 0.38/0.70 (step @p312 :rule cong :premises (@p205 @p276) :args (@t204)) % 0.38/0.70 (step @p313 :rule trans :premises (@p312 @p311)) % 0.38/0.70 (step @p314 :rule false_elim :premises (@p313)) % 0.38/0.70 (step @p315 :rule cnf_or_pos :args (@t205)) % 0.38/0.70 (step @p316 :rule reordering :premises (@p315) :args ((or @t153 @t182 @t201 @t204 (not @t205)))) % 0.38/0.70 (step @p317 :rule chain_m_resolution :premises (@p316 @p8 @p184 @p314 @p300) :args (@t153 (@list false false true false) (@list @t1 @t148 @t204 @t205))) % 0.38/0.70 (step @p318 :rule aci_norm :args ((= (or @t154 @t152 @t211) (or @t154 @t152 @t201 @t210 @t209)))) % 0.38/0.70 (step @p319 :rule aci_norm :args ((= (or @t201 @t212) @t211))) % 0.38/0.70 (step @p320 :rule aci_norm :args ((= (or @t210 false @t209) @t212))) % 0.38/0.70 (step @p321 :rule refl :args (@t209)) % 0.38/0.70 (step @p322 :rule evaluate :args ((not true))) % 0.38/0.70 (step @p323 :rule eq-refl :args (@t159)) % 0.38/0.70 (step @p324 :rule cong :premises (@p323) :args (@t213)) % 0.38/0.70 (step @p325 :rule trans :premises (@p324 @p322)) % 0.38/0.70 (step @p326 :rule refl :args (@t210)) % 0.38/0.70 (step @p327 :rule nary_cong :premises (@p326 @p325 @p321) :args (@t214)) % 0.38/0.70 (step @p328 :rule trans :premises (@p327 @p320)) % 0.38/0.70 (step @p329 :rule quant-var-elim-eq :args ((= (forall @t218 @t217) @t214))) % 0.38/0.70 (step @p330 :rule aci_norm :args ((= @t219 @t217))) % 0.38/0.70 (step @p331 :rule cong :premises (@p330) :args (@t220)) % 0.38/0.70 (step @p332 :rule trans :premises (@p331 @p329)) % 0.38/0.70 (step @p333 :rule trans :premises (@p332 @p328)) % 0.38/0.70 (step @p334 :rule nary_cong :premises (@p290 @p333) :args (@t221)) % 0.38/0.70 (step @p335 :rule trans :premises (@p334 @p319)) % 0.38/0.70 (step @p336 :rule quant-miniscope-or :args ((= (forall @t218 @t222) @t221))) % 0.38/0.70 (step @p337 :rule aci_norm :args ((= @t223 @t222))) % 0.38/0.70 (step @p338 :rule cong :premises (@p337) :args ((forall @t218 @t223))) % 0.38/0.70 (step @p339 :rule trans :premises (@p338 @p336)) % 0.38/0.70 (step @p340 :rule trans :premises (@p339 @p335)) % 0.38/0.70 (step @p341 :rule aci_norm :args ((= (or @t201 false @t161 @t216 @t215) @t223))) % 0.38/0.70 (step @p342 :rule refl :args (@t215)) % 0.38/0.70 (step @p343 :rule refl :args (@t216)) % 0.38/0.70 (step @p344 :rule refl :args (@t161)) % 0.38/0.70 (step @p345 :rule eq-refl :args (tptp.sk2)) % 0.38/0.70 (step @p346 :rule cong :premises (@p345) :args (@t224)) % 0.38/0.70 (step @p347 :rule trans :premises (@p346 @p322)) % 0.38/0.70 (step @p348 :rule nary_cong :premises (@p290 @p347 @p344 @p343 @p342) :args (@t225)) % 0.38/0.70 (step @p349 :rule trans :premises (@p348 @p341)) % 0.38/0.70 (step @p350 :rule cong :premises (@p349) :args ((forall @t218 @t225))) % 0.38/0.70 (step @p351 :rule trans :premises (@p350 @p340)) % 0.38/0.70 (step @p352 :rule quant-var-elim-eq :args ((= (forall @t227 (or (not (= @t155 tptp.sk2)) @t163 @t162 @t161 @t216 @t226)) @t225))) % 0.38/0.70 (step @p353 :rule refl :args (@t226)) % 0.38/0.70 (step @p354 :rule refl :args (@t216)) % 0.38/0.70 (step @p355 :rule refl :args (@t161)) % 0.38/0.70 (step @p356 :rule refl :args (@t162)) % 0.38/0.70 (step @p357 :rule refl :args (@t163)) % 0.38/0.70 (step @p358 :rule eq-symm :args (tptp.sk2 @t155)) % 0.38/0.70 (step @p359 :rule cong :premises (@p358) :args (@t162)) % 0.38/0.70 (step @p360 :rule nary_cong :premises (@p359 @p357 @p356 @p355 @p354 @p353) :args (@t228)) % 0.38/0.70 (step @p361 :rule aci_norm :args ((= @t229 @t228))) % 0.38/0.70 (step @p362 :rule trans :premises (@p361 @p360)) % 0.38/0.70 (step @p363 :rule cong :premises (@p362) :args (@t230)) % 0.38/0.70 (step @p364 :rule trans :premises (@p363 @p352)) % 0.38/0.70 (step @p365 :rule cong :premises (@p364) :args (@t231)) % 0.38/0.70 (step @p366 :rule quant-merge-prenex :args ((= @t231 @t232))) % 0.38/0.70 (step @p367 :rule symm :premises (@p366)) % 0.38/0.70 (step @p368 :rule quant_var_reordering :args ((= @t233 @t232))) % 0.38/0.70 (step @p369 :rule trans :premises (@p368 @p367 @p365)) % 0.38/0.70 (step @p370 :rule trans :premises (@p369 @p351)) % 0.38/0.70 (step @p371 :rule refl :args (@t154)) % 0.38/0.70 (step @p372 :rule nary_cong :premises (@p371 @p209 @p370) :args (@t234)) % 0.38/0.70 (step @p373 :rule trans :premises (@p372 @p318)) % 0.38/0.70 (step @p374 :rule quant-miniscope-or :args ((= (forall @t164 @t235) @t234))) % 0.38/0.70 (step @p375 :rule aci_norm :args ((= @t236 @t235))) % 0.38/0.70 (step @p376 :rule cong :premises (@p375) :args ((forall @t164 @t236))) % 0.38/0.70 (step @p377 :rule trans :premises (@p376 @p374)) % 0.38/0.70 (step @p378 :rule trans :premises (@p377 @p373)) % 0.38/0.70 (step @p379 :rule eq-symm :args (@t157 @t155)) % 0.38/0.70 (step @p380 :rule cong :premises (@p379) :args (@t158)) % 0.38/0.70 (step @p381 :rule eq-symm :args (@t159 @t156)) % 0.38/0.70 (step @p382 :rule cong :premises (@p381) :args (@t160)) % 0.38/0.70 (step @p383 :rule refl :args (@t162)) % 0.38/0.70 (step @p384 :rule refl :args (@t163)) % 0.38/0.70 (step @p385 :rule nary_cong :premises (@p384 @p383 @p344 @p382 @p380 @p371 @p209) :args (@t171)) % 0.38/0.70 (step @p386 :rule cong :premises (@p385) :args (@t172)) % 0.38/0.70 (step @p387 :rule trans :premises (@p386 @p378)) % 0.38/0.70 (step @p388 :rule eq_resolve :premises (@p196 @p387)) % 0.38/0.70 (step @p389 :rule reordering :premises (@p388) :args ((or @t152 @t154 @t201 @t210 @t209))) % 0.38/0.70 (step @p390 false :rule chain_m_resolution :premises (@p389 @p317 @p281 @p208 @p271 @p184) :args (false (@list false false false false false) (@list @t153 @t200 @t151 @t208 @t148))) % 0.38/0.70 ) % 0.38/0.70 % SZS output end Proof % 0.38/0.70 % cvc5 exiting %------------------------------------------------------------------------------