%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC063-1 : 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 : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:54 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.98s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC063-1 : 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 % 0.18/0.34 % Computer : n003.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 19:11:59 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.98 % SZS status Unsatisfiable % 0.38/0.98 % SZS output start Proof % 0.38/1.00 ( % 0.38/1.00 (declare-sort $$unsorted 0) % 0.38/1.00 (declare-const tptp.sk6 $$unsorted) % 0.38/1.00 (declare-const tptp.sk5 $$unsorted) % 0.38/1.00 (declare-const tptp.sk4 $$unsorted) % 0.38/1.00 (declare-const tptp.sk2 $$unsorted) % 0.38/1.00 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.nil $$unsorted) % 0.38/1.00 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.sk1 $$unsorted) % 0.38/1.00 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skac2 $$unsorted) % 0.38/1.00 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.sk3 $$unsorted) % 0.38/1.00 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skac3 $$unsorted) % 0.38/1.00 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (define @t1 () (tptp.ssList tptp.nil)) % 0.38/1.00 (define @t2 () (@var "U" $$unsorted)) % 0.38/1.00 (define @t3 () (tptp.skaf83 @t2)) % 0.38/1.00 (define @t4 () (@list @t2)) % 0.38/1.00 (define @t5 () (tptp.skaf82 @t2)) % 0.38/1.00 (define @t6 () (tptp.skaf81 @t2)) % 0.38/1.00 (define @t7 () (tptp.skaf80 @t2)) % 0.38/1.00 (define @t8 () (tptp.skaf79 @t2)) % 0.38/1.00 (define @t9 () (tptp.skaf78 @t2)) % 0.38/1.00 (define @t10 () (tptp.skaf77 @t2)) % 0.38/1.00 (define @t11 () (tptp.skaf76 @t2)) % 0.38/1.00 (define @t12 () (tptp.skaf75 @t2)) % 0.38/1.00 (define @t13 () (tptp.skaf74 @t2)) % 0.38/1.00 (define @t14 () (tptp.skaf73 @t2)) % 0.38/1.00 (define @t15 () (tptp.skaf72 @t2)) % 0.38/1.00 (define @t16 () (tptp.skaf71 @t2)) % 0.38/1.00 (define @t17 () (tptp.skaf70 @t2)) % 0.38/1.00 (define @t18 () (tptp.skaf69 @t2)) % 0.38/1.00 (define @t19 () (tptp.skaf68 @t2)) % 0.38/1.00 (define @t20 () (tptp.skaf67 @t2)) % 0.38/1.00 (define @t21 () (tptp.skaf66 @t2)) % 0.38/1.00 (define @t22 () (tptp.skaf65 @t2)) % 0.38/1.00 (define @t23 () (tptp.skaf64 @t2)) % 0.38/1.00 (define @t24 () (tptp.skaf63 @t2)) % 0.38/1.00 (define @t25 () (tptp.skaf62 @t2)) % 0.38/1.00 (define @t26 () (tptp.skaf61 @t2)) % 0.38/1.00 (define @t27 () (tptp.skaf60 @t2)) % 0.38/1.00 (define @t28 () (tptp.skaf59 @t2)) % 0.38/1.00 (define @t29 () (tptp.skaf58 @t2)) % 0.38/1.00 (define @t30 () (tptp.skaf57 @t2)) % 0.38/1.00 (define @t31 () (tptp.skaf56 @t2)) % 0.38/1.00 (define @t32 () (tptp.skaf55 @t2)) % 0.38/1.00 (define @t33 () (tptp.skaf54 @t2)) % 0.38/1.00 (define @t34 () (tptp.skaf53 @t2)) % 0.38/1.00 (define @t35 () (tptp.skaf52 @t2)) % 0.38/1.00 (define @t36 () (tptp.skaf51 @t2)) % 0.38/1.00 (define @t37 () (tptp.skaf50 @t2)) % 0.38/1.00 (define @t38 () (tptp.skaf49 @t2)) % 0.38/1.00 (define @t39 () (tptp.skaf44 @t2)) % 0.38/1.00 (define @t40 () (@var "V" $$unsorted)) % 0.38/1.00 (define @t41 () (@list @t2 @t40)) % 0.38/1.00 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.38/1.00 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.38/1.00 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.38/1.00 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.38/1.00 (define @t46 () (not (tptp.ssItem @t2))) % 0.38/1.00 (define @t47 () (not (tptp.ssList @t2))) % 0.38/1.00 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.38/1.00 (define @t49 () (tptp.ssItem @t40)) % 0.38/1.00 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.38/1.00 (define @t51 () (tptp.app @t2 tptp.nil)) % 0.38/1.00 (define @t52 () (or @t47 (= @t51 @t2))) % 0.38/1.00 (define @t53 () (forall @t4 @t52)) % 0.38/1.00 (define @t54 () (tptp.app tptp.nil @t2)) % 0.38/1.00 (define @t55 () (or @t47 (= @t54 @t2))) % 0.38/1.00 (define @t56 () (forall @t4 @t55)) % 0.38/1.00 (define @t57 () (= tptp.nil @t2)) % 0.38/1.00 (define @t58 () (tptp.tl @t2)) % 0.38/1.00 (define @t59 () (tptp.hd @t2)) % 0.38/1.00 (define @t60 () (tptp.segmentP tptp.nil @t2)) % 0.38/1.00 (define @t61 () (not @t57)) % 0.38/1.00 (define @t62 () (tptp.rearsegP tptp.nil @t2)) % 0.38/1.00 (define @t63 () (tptp.frontsegP tptp.nil @t2)) % 0.38/1.00 (define @t64 () (tptp.app @t40 @t2)) % 0.38/1.00 (define @t65 () (not (tptp.ssList @t40))) % 0.38/1.00 (define @t66 () (tptp.cons @t2 @t40)) % 0.38/1.00 (define @t67 () (tptp.cyclefreeP @t2)) % 0.38/1.00 (define @t68 () (tptp.equalelemsP @t2)) % 0.38/1.00 (define @t69 () (tptp.strictorderedP @t2)) % 0.38/1.00 (define @t70 () (tptp.totalorderedP @t2)) % 0.38/1.00 (define @t71 () (tptp.strictorderP @t2)) % 0.38/1.00 (define @t72 () (tptp.totalorderP @t2)) % 0.38/1.00 (define @t73 () (= @t40 @t2)) % 0.38/1.00 (define @t74 () (tptp.neq @t40 @t2)) % 0.38/1.00 (define @t75 () (or @t47 @t65 @t74 @t73)) % 0.38/1.00 (define @t76 () (forall @t41 @t75)) % 0.38/1.00 (define @t77 () (not @t49)) % 0.38/1.00 (define @t78 () (tptp.leq @t2 @t40)) % 0.38/1.00 (define @t79 () (tptp.lt @t2 @t40)) % 0.38/1.00 (define @t80 () (not @t79)) % 0.38/1.00 (define @t81 () (tptp.lt @t40 @t2)) % 0.38/1.00 (define @t82 () (not (tptp.gt @t2 @t40))) % 0.38/1.00 (define @t83 () (tptp.gt @t40 @t2)) % 0.38/1.00 (define @t84 () (tptp.leq @t40 @t2)) % 0.38/1.00 (define @t85 () (not (tptp.geq @t2 @t40))) % 0.38/1.00 (define @t86 () (tptp.geq @t40 @t2)) % 0.38/1.00 (define @t87 () (not @t78)) % 0.38/1.00 (define @t88 () (= @t2 @t40)) % 0.38/1.00 (define @t89 () (not @t88)) % 0.38/1.00 (define @t90 () (tptp.cons @t40 @t2)) % 0.38/1.00 (define @t91 () (not (tptp.neq @t2 @t40))) % 0.38/1.00 (define @t92 () (or @t89 @t91 @t65 @t47)) % 0.38/1.00 (define @t93 () (forall @t41 @t92)) % 0.38/1.00 (define @t94 () (tptp.app @t2 @t40)) % 0.38/1.00 (define @t95 () (= @t94 tptp.nil)) % 0.38/1.00 (define @t96 () (not @t95)) % 0.38/1.00 (define @t97 () (= tptp.nil @t40)) % 0.38/1.00 (define @t98 () (tptp.app @t48 @t40)) % 0.38/1.00 (define @t99 () (or @t46 @t65 (= @t98 @t66))) % 0.38/1.00 (define @t100 () (forall @t41 @t99)) % 0.38/1.00 (define @t101 () (tptp.hd @t40)) % 0.38/1.00 (define @t102 () (tptp.strictorderedP @t40)) % 0.38/1.00 (define @t103 () (tptp.strictorderedP @t66)) % 0.38/1.00 (define @t104 () (not @t103)) % 0.38/1.00 (define @t105 () (tptp.totalorderedP @t40)) % 0.38/1.00 (define @t106 () (tptp.totalorderedP @t66)) % 0.38/1.00 (define @t107 () (not @t106)) % 0.38/1.00 (define @t108 () (not (tptp.segmentP @t2 @t40))) % 0.38/1.00 (define @t109 () (not (tptp.rearsegP @t2 @t40))) % 0.38/1.00 (define @t110 () (not (tptp.frontsegP @t2 @t40))) % 0.38/1.00 (define @t111 () (not @t84)) % 0.38/1.00 (define @t112 () (tptp.tl @t40)) % 0.38/1.00 (define @t113 () (tptp.lt @t2 @t101)) % 0.38/1.00 (define @t114 () (tptp.leq @t2 @t101)) % 0.38/1.00 (define @t115 () (@var "W" $$unsorted)) % 0.38/1.00 (define @t116 () (tptp.app @t115 @t2)) % 0.38/1.00 (define @t117 () (not (tptp.ssList @t115))) % 0.38/1.00 (define @t118 () (@list @t2 @t40 @t115)) % 0.38/1.00 (define @t119 () (tptp.app @t2 @t115)) % 0.38/1.00 (define @t120 () (tptp.cons @t40 @t115)) % 0.38/1.00 (define @t121 () (tptp.cons @t115 @t2)) % 0.38/1.00 (define @t122 () (not (tptp.ssItem @t115))) % 0.38/1.00 (define @t123 () (not (tptp.memberP @t2 @t40))) % 0.38/1.00 (define @t124 () (not (= @t94 @t115))) % 0.38/1.00 (define @t125 () (tptp.lt @t2 @t115)) % 0.38/1.00 (define @t126 () (not (tptp.lt @t40 @t115))) % 0.38/1.00 (define @t127 () (tptp.app @t115 @t40)) % 0.38/1.00 (define @t128 () (= @t40 @t115)) % 0.38/1.00 (define @t129 () (= @t2 @t115)) % 0.38/1.00 (define @t130 () (tptp.memberP @t40 @t115)) % 0.38/1.00 (define @t131 () (@var "X" $$unsorted)) % 0.38/1.00 (define @t132 () (not (tptp.ssList @t131))) % 0.38/1.00 (define @t133 () (tptp.cons @t115 @t131)) % 0.38/1.00 (define @t134 () (not (= @t66 @t133))) % 0.38/1.00 (define @t135 () (@list @t2 @t40 @t115 @t131)) % 0.38/1.00 (define @t136 () (tptp.segmentP @t131 @t40)) % 0.38/1.00 (define @t137 () (tptp.app @t94 @t115)) % 0.38/1.00 (define @t138 () (not (= @t137 @t131))) % 0.38/1.00 (define @t139 () (or @t138 @t117 @t47 @t65 @t132 @t136)) % 0.38/1.00 (define @t140 () (forall @t135 @t139)) % 0.38/1.00 (define @t141 () (not (tptp.frontsegP @t66 @t133))) % 0.38/1.00 (define @t142 () (tptp.app @t2 @t120)) % 0.38/1.00 (define @t143 () (not (tptp.ssItem @t131))) % 0.38/1.00 (define @t144 () (@var "Y" $$unsorted)) % 0.38/1.00 (define @t145 () (not (tptp.ssList @t144))) % 0.38/1.00 (define @t146 () (@list @t2 @t40 @t115 @t131 @t144)) % 0.38/1.00 (define @t147 () (tptp.lt @t40 @t131)) % 0.38/1.00 (define @t148 () (@var "Z" $$unsorted)) % 0.38/1.00 (define @t149 () (not (tptp.ssList @t148))) % 0.38/1.00 (define @t150 () (not (= (tptp.app @t142 (tptp.cons @t131 @t144)) @t148))) % 0.38/1.00 (define @t151 () (@list @t2 @t40 @t115 @t131 @t144 @t148)) % 0.38/1.00 (define @t152 () (tptp.leq @t40 @t131)) % 0.38/1.00 (define @t153 () (tptp.ssList tptp.sk1)) % 0.38/1.00 (define @t154 () (tptp.ssList tptp.sk2)) % 0.38/1.00 (define @t155 () (= tptp.sk2 tptp.sk4)) % 0.38/1.00 (define @t156 () (= tptp.sk1 tptp.sk3)) % 0.38/1.00 (define @t157 () (= tptp.nil tptp.sk4)) % 0.38/1.00 (define @t158 () (= tptp.nil tptp.sk3)) % 0.38/1.00 (define @t159 () (tptp.neq tptp.sk4 tptp.nil)) % 0.38/1.00 (define @t160 () (not @t159)) % 0.38/1.00 (define @t161 () (tptp.ssItem tptp.sk5)) % 0.38/1.00 (define @t162 () (tptp.ssList tptp.sk6)) % 0.38/1.00 (define @t163 () (tptp.cons tptp.sk5 tptp.nil)) % 0.38/1.00 (define @t164 () (tptp.app @t163 tptp.sk6)) % 0.38/1.00 (define @t165 () (or (= @t164 tptp.sk3) @t160)) % 0.38/1.00 (define @t166 () (tptp.app tptp.sk6 @t163)) % 0.38/1.00 (define @t167 () (or (= @t166 tptp.sk4) @t160)) % 0.38/1.00 (define @t168 () (tptp.neq tptp.sk2 tptp.nil)) % 0.38/1.00 (define @t169 () (= tptp.nil tptp.sk2)) % 0.38/1.00 (define @t170 () (@var "A" $$unsorted)) % 0.38/1.00 (define @t171 () (not (tptp.segmentP tptp.sk1 @t170))) % 0.38/1.00 (define @t172 () (not (tptp.segmentP tptp.sk2 @t170))) % 0.38/1.00 (define @t173 () (not (tptp.neq @t170 tptp.nil))) % 0.38/1.00 (define @t174 () (not (tptp.ssList @t170))) % 0.38/1.00 (define @t175 () (or @t169 @t174 @t173 @t172 @t171)) % 0.38/1.00 (define @t176 () (@list @t170)) % 0.38/1.00 (define @t177 () (forall @t176 @t175)) % 0.38/1.00 (define @t178 () (= tptp.nil tptp.sk1)) % 0.38/1.00 (define @t179 () (not @t178)) % 0.38/1.00 (define @t180 () (@list tptp.sk1)) % 0.38/1.00 (define @t181 () (tptp.segmentP tptp.sk1 tptp.sk1)) % 0.38/1.00 (define @t182 () (not @t153)) % 0.38/1.00 (define @t183 () (or @t182 @t181)) % 0.38/1.00 (define @t184 () (@list false false)) % 0.38/1.00 (define @t185 () (and @t155 @t169)) % 0.38/1.00 (define @t186 () (not @t169)) % 0.38/1.00 (define @t187 () (not @t155)) % 0.38/1.00 (define @t188 () (not (tptp.neq @t40 @t40))) % 0.38/1.00 (define @t189 () (not (= @t40 @t40))) % 0.38/1.00 (define @t190 () (or @t189 @t188 @t65 @t65)) % 0.38/1.00 (define @t191 () (@list @t40)) % 0.38/1.00 (define @t192 () (or @t89 @t89 @t91 @t65 @t47)) % 0.38/1.00 (define @t193 () (forall @t4 @t92)) % 0.38/1.00 (define @t194 () (forall @t191 @t193)) % 0.38/1.00 (define @t195 () (forall (@list @t40 @t2) @t92)) % 0.38/1.00 (define @t196 () (@list tptp.sk2)) % 0.38/1.00 (define @t197 () (not @t154)) % 0.38/1.00 (define @t198 () (tptp.neq tptp.sk2 tptp.sk2)) % 0.38/1.00 (define @t199 () (not @t198)) % 0.38/1.00 (define @t200 () (or @t199 @t197)) % 0.38/1.00 (define @t201 () (not @t168)) % 0.38/1.00 (define @t202 () (and @t155 @t169 @t199)) % 0.38/1.00 (define @t203 () (and @t156 @t158)) % 0.38/1.00 (define @t204 () (not @t156)) % 0.38/1.00 (define @t205 () (or @t174 @t173 @t172 @t171)) % 0.38/1.00 (define @t206 () (forall @t176 @t205)) % 0.38/1.00 (define @t207 () (or @t169 @t205)) % 0.38/1.00 (define @t208 () (@list true)) % 0.38/1.00 (define @t209 () (@list @t169)) % 0.38/1.00 (define @t210 () (tptp.segmentP tptp.sk1 tptp.sk2)) % 0.38/1.00 (define @t211 () (not @t210)) % 0.38/1.00 (define @t212 () (tptp.segmentP tptp.sk2 tptp.sk2)) % 0.38/1.00 (define @t213 () (not @t212)) % 0.38/1.00 (define @t214 () (or @t197 @t201 @t213 @t211)) % 0.38/1.00 (define @t215 () (@list false)) % 0.38/1.00 (define @t216 () (@list @t206)) % 0.38/1.00 (define @t217 () (or @t197 @t212)) % 0.38/1.00 (define @t218 () (@list false false false false)) % 0.38/1.00 (define @t219 () (and @t155 @t168)) % 0.38/1.00 (define @t220 () (= tptp.sk3 @t164)) % 0.38/1.00 (define @t221 () (@list @t159)) % 0.38/1.00 (define @t222 () (= tptp.sk4 @t166)) % 0.38/1.00 (define @t223 () (@list tptp.sk5 tptp.nil)) % 0.38/1.00 (define @t224 () (tptp.app @t163 tptp.nil)) % 0.38/1.00 (define @t225 () (= @t163 @t224)) % 0.38/1.00 (define @t226 () (not @t1)) % 0.38/1.00 (define @t227 () (not @t161)) % 0.38/1.00 (define @t228 () (or @t227 @t226 @t225)) % 0.38/1.00 (define @t229 () (@list false false false)) % 0.38/1.00 (define @t230 () (@list tptp.sk6)) % 0.38/1.00 (define @t231 () (tptp.app tptp.sk6 tptp.nil)) % 0.38/1.00 (define @t232 () (= tptp.sk6 @t231)) % 0.38/1.00 (define @t233 () (not @t162)) % 0.38/1.00 (define @t234 () (or @t233 @t232)) % 0.38/1.00 (define @t235 () (tptp.ssList @t163)) % 0.38/1.00 (define @t236 () (or @t227 @t226 @t235)) % 0.38/1.00 (define @t237 () (tptp.app tptp.nil @t163)) % 0.38/1.00 (define @t238 () (= @t163 @t237)) % 0.38/1.00 (define @t239 () (not @t235)) % 0.38/1.00 (define @t240 () (or @t239 @t238)) % 0.38/1.00 (define @t241 () (tptp.segmentP tptp.sk1 tptp.sk6)) % 0.38/1.00 (define @t242 () (not @t241)) % 0.38/1.00 (define @t243 () (tptp.segmentP tptp.sk2 tptp.sk6)) % 0.38/1.00 (define @t244 () (not @t243)) % 0.38/1.00 (define @t245 () (tptp.neq tptp.sk6 tptp.nil)) % 0.38/1.00 (define @t246 () (not @t245)) % 0.38/1.00 (define @t247 () (or @t233 @t246 @t244 @t242)) % 0.38/1.00 (define @t248 () (tptp.segmentP @t137 @t40)) % 0.38/1.00 (define @t249 () (not (tptp.ssList @t137))) % 0.38/1.00 (define @t250 () (not (= @t137 @t137))) % 0.38/1.00 (define @t251 () (or @t250 @t117 @t47 @t65 @t249 @t248)) % 0.38/1.00 (define @t252 () (not (= @t131 @t137))) % 0.38/1.00 (define @t253 () (or @t252 @t252 @t117 @t47 @t65 @t132 @t136)) % 0.38/1.00 (define @t254 () (@list @t131)) % 0.38/1.00 (define @t255 () (or @t252 @t117 @t47 @t65 @t132 @t136)) % 0.38/1.00 (define @t256 () (forall @t254 @t255)) % 0.38/1.00 (define @t257 () (forall @t118 @t256)) % 0.38/1.00 (define @t258 () (tptp.app tptp.sk1 tptp.nil)) % 0.38/1.00 (define @t259 () (= tptp.sk1 @t258)) % 0.38/1.00 (define @t260 () (or @t182 @t259)) % 0.38/1.00 (define @t261 () (tptp.app @t164 tptp.nil)) % 0.38/1.00 (define @t262 () (tptp.ssList @t261)) % 0.38/1.00 (define @t263 () (and @t153 @t156 @t220 @t259)) % 0.38/1.00 (define @t264 () (tptp.segmentP @t261 tptp.sk6)) % 0.38/1.00 (define @t265 () (not @t262)) % 0.38/1.00 (define @t266 () (or @t226 @t239 @t233 @t265 @t264)) % 0.38/1.00 (define @t267 () (@list false false false false false)) % 0.38/1.00 (define @t268 () (and @t156 @t220 @t259 @t264)) % 0.38/1.00 (define @t269 () (not @t220)) % 0.38/1.00 (define @t270 () (tptp.segmentP tptp.sk6 tptp.sk6)) % 0.38/1.00 (define @t271 () (or @t233 @t270)) % 0.38/1.00 (define @t272 () (tptp.app tptp.nil tptp.sk6)) % 0.38/1.00 (define @t273 () (tptp.segmentP (tptp.app @t272 @t163) tptp.sk6)) % 0.38/1.00 (define @t274 () (not @t270)) % 0.38/1.00 (define @t275 () (or @t274 @t239 @t226 @t233 @t233 @t273)) % 0.38/1.00 (define @t276 () (= tptp.sk6 @t272)) % 0.38/1.00 (define @t277 () (or @t233 @t276)) % 0.38/1.00 (define @t278 () (and @t155 @t222 @t276 @t273)) % 0.38/1.00 (define @t279 () (not @t222)) % 0.38/1.00 (define @t280 () (= tptp.nil tptp.sk6)) % 0.38/1.00 (define @t281 () (or @t226 @t233 @t245 @t280)) % 0.38/1.00 (define @t282 () (not @t238)) % 0.38/1.00 (define @t283 () (not @t225)) % 0.38/1.00 (define @t284 () (not @t280)) % 0.38/1.00 (define @t285 () (not @t232)) % 0.38/1.00 (define @t286 () (not @t181)) % 0.38/1.00 (define @t287 () (and @t181 @t156 @t220 @t238 @t280 @t225 @t232 @t222 @t155 @t211)) % 0.38/1.00 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.38/1.00 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.38/1.00 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.38/1.00 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.38/1.00 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.38/1.00 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.38/1.00 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.38/1.00 (assume @p8 @t1) % 0.38/1.00 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.38/1.00 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.38/1.00 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.38/1.00 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.38/1.00 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.38/1.00 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.38/1.00 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.38/1.00 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.38/1.00 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.38/1.00 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.38/1.00 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.38/1.00 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.38/1.00 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.38/1.00 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.38/1.00 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.38/1.00 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.38/1.00 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.38/1.00 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.38/1.00 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.38/1.00 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.38/1.00 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.38/1.00 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.38/1.00 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.38/1.00 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.38/1.00 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.38/1.00 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.38/1.00 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.38/1.00 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.38/1.00 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.38/1.00 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.38/1.00 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.38/1.00 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.38/1.00 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.38/1.00 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.38/1.00 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.38/1.00 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.38/1.00 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.38/1.00 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.38/1.00 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.38/1.00 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.38/1.00 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.38/1.00 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.38/1.00 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.38/1.00 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.38/1.00 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.38/1.00 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.38/1.00 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.38/1.00 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.38/1.00 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.38/1.00 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.38/1.00 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.38/1.00 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.38/1.00 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.38/1.00 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.38/1.00 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.38/1.00 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.38/1.00 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.38/1.00 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.38/1.00 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.38/1.00 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.38/1.00 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.38/1.00 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.38/1.00 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.38/1.00 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.38/1.00 (assume @p73 @t53) % 0.38/1.00 (assume @p74 @t56) % 0.38/1.00 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t58) @t57))) % 0.38/1.00 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t59) @t57))) % 0.38/1.00 (assume @p77 (forall @t4 (or @t61 @t47 @t60))) % 0.38/1.00 (assume @p78 (forall @t4 (or (not @t60) @t47 @t57))) % 0.38/1.00 (assume @p79 (forall @t4 (or @t61 @t47 @t62))) % 0.38/1.00 (assume @p80 (forall @t4 (or (not @t62) @t47 @t57))) % 0.38/1.00 (assume @p81 (forall @t4 (or @t61 @t47 @t63))) % 0.38/1.00 (assume @p82 (forall @t4 (or (not @t63) @t47 @t57))) % 0.38/1.00 (assume @p83 (forall @t41 (or @t47 @t65 (tptp.ssList @t64)))) % 0.38/1.00 (assume @p84 (forall @t41 (or @t46 @t65 (tptp.ssList @t66)))) % 0.38/1.00 (assume @p85 (forall @t4 (or @t47 @t67 (tptp.leq @t37 @t38)))) % 0.38/1.00 (assume @p86 (forall @t4 (or @t47 @t67 (tptp.leq @t38 @t37)))) % 0.38/1.00 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t68))) % 0.38/1.00 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t69))) % 0.38/1.00 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t70))) % 0.38/1.00 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t71))) % 0.38/1.00 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t71))) % 0.38/1.00 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t72))) % 0.38/1.00 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t72))) % 0.38/1.00 (assume @p94 (forall @t41 (or @t46 @t65 (= (tptp.tl @t66) @t40)))) % 0.38/1.00 (assume @p95 (forall @t41 (or @t46 @t65 (= (tptp.hd @t66) @t2)))) % 0.38/1.00 (assume @p96 (forall @t41 (or (not (= @t66 tptp.nil)) @t46 @t65))) % 0.38/1.00 (assume @p97 (forall @t41 (or (not (= @t66 @t40)) @t46 @t65))) % 0.38/1.00 (assume @p98 @t76) % 0.38/1.00 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.38/1.00 (assume @p100 (forall @t41 (or @t46 @t77 @t74 @t73))) % 0.38/1.00 (assume @p101 (forall @t41 (or @t80 @t77 @t46 @t78))) % 0.38/1.00 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t59 @t58) @t2) @t57))) % 0.38/1.00 (assume @p103 (forall @t41 (or @t82 @t77 @t46 @t81))) % 0.38/1.00 (assume @p104 (forall @t41 (or @t80 @t46 @t77 @t83))) % 0.38/1.00 (assume @p105 (forall @t41 (or @t85 @t77 @t46 @t84))) % 0.38/1.00 (assume @p106 (forall @t41 (or @t87 @t46 @t77 @t86))) % 0.38/1.00 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t57))) % 0.38/1.00 (assume @p108 (forall @t41 (or @t82 (not @t83) @t46 @t77))) % 0.38/1.00 (assume @p109 (forall @t41 (or @t89 @t80 @t77 @t46))) % 0.38/1.00 (assume @p110 (forall @t41 (or @t61 @t47 @t77 (tptp.strictorderedP @t90)))) % 0.38/1.00 (assume @p111 (forall @t41 (or @t61 @t47 @t77 (tptp.totalorderedP @t90)))) % 0.38/1.00 (assume @p112 (forall @t41 (or @t80 (not @t81) @t46 @t77))) % 0.38/1.00 (assume @p113 @t93) % 0.38/1.00 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t65 (tptp.singletonP @t40)))) % 0.38/1.00 (assume @p115 (forall @t41 (or @t89 @t91 @t77 @t46))) % 0.38/1.00 (assume @p116 (forall @t41 (or @t96 @t65 @t47 @t57))) % 0.38/1.00 (assume @p117 (forall @t41 (or @t96 @t65 @t47 @t97))) % 0.38/1.00 (assume @p118 @t100) % 0.38/1.00 (assume @p119 (forall @t41 (or @t87 @t77 @t46 @t79 @t88))) % 0.38/1.00 (assume @p120 (forall @t41 (or @t47 @t65 @t97 (= (tptp.hd @t64) @t101)))) % 0.38/1.00 (assume @p121 (forall @t41 (or @t104 @t65 @t46 @t102 @t97))) % 0.38/1.00 (assume @p122 (forall @t41 (or @t107 @t65 @t46 @t105 @t97))) % 0.38/1.00 (assume @p123 (forall @t41 (or @t85 (not @t86) @t46 @t77 @t73))) % 0.38/1.00 (assume @p124 (forall @t41 (or @t108 (not (tptp.segmentP @t40 @t2)) @t47 @t65 @t73))) % 0.38/1.00 (assume @p125 (forall @t41 (or @t109 (not (tptp.rearsegP @t40 @t2)) @t47 @t65 @t73))) % 0.38/1.00 (assume @p126 (forall @t41 (or @t110 (not (tptp.frontsegP @t40 @t2)) @t47 @t65 @t73))) % 0.38/1.00 (assume @p127 (forall @t41 (or @t87 @t111 @t46 @t77 @t73))) % 0.38/1.00 (assume @p128 (forall @t41 (or @t109 @t65 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.38/1.00 (assume @p129 (forall @t41 (or @t110 @t65 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.38/1.00 (assume @p130 (forall @t41 (or @t47 @t65 @t97 (= (tptp.tl @t64) (tptp.app @t112 @t2))))) % 0.38/1.00 (assume @p131 (forall @t41 (or @t104 @t65 @t46 @t113 @t97))) % 0.38/1.00 (assume @p132 (forall @t41 (or @t107 @t65 @t46 @t114 @t97))) % 0.38/1.00 (assume @p133 (forall @t118 (or @t109 @t117 @t65 @t47 (tptp.rearsegP @t116 @t40)))) % 0.38/1.00 (assume @p134 (forall @t118 (or @t110 @t117 @t65 @t47 (tptp.frontsegP @t119 @t40)))) % 0.38/1.00 (assume @p135 (forall @t118 (or @t89 @t117 @t77 @t46 (tptp.memberP @t120 @t2)))) % 0.38/1.00 (assume @p136 (forall @t118 (or @t123 @t47 @t122 @t77 (tptp.memberP @t121 @t40)))) % 0.38/1.00 (assume @p137 (forall @t118 (or @t123 @t117 @t47 @t77 (tptp.memberP @t119 @t40)))) % 0.38/1.00 (assume @p138 (forall @t118 (or @t123 @t47 @t117 @t77 (tptp.memberP @t116 @t40)))) % 0.38/1.00 (assume @p139 (forall @t4 (or @t47 @t68 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.38/1.00 (assume @p140 (forall @t118 (or @t124 @t47 @t65 @t117 (tptp.rearsegP @t115 @t40)))) % 0.38/1.00 (assume @p141 (forall @t118 (or @t124 @t65 @t47 @t117 (tptp.frontsegP @t115 @t2)))) % 0.38/1.00 (assume @p142 (forall @t41 (or @t61 (not @t97) @t65 @t47 @t95))) % 0.38/1.00 (assume @p143 (forall @t118 (or @t82 (not (tptp.gt @t40 @t115)) @t122 @t77 @t46 (tptp.gt @t2 @t115)))) % 0.38/1.00 (assume @p144 (forall @t118 (or @t87 @t126 @t122 @t77 @t46 @t125))) % 0.38/1.00 (assume @p145 (forall @t118 (or @t85 (not (tptp.geq @t40 @t115)) @t122 @t77 @t46 (tptp.geq @t2 @t115)))) % 0.38/1.00 (assume @p146 (forall @t118 (or @t47 @t65 @t117 (= (tptp.app @t127 @t2) (tptp.app @t115 @t64))))) % 0.38/1.00 (assume @p147 (forall @t118 (or (not (= @t94 @t119)) @t65 @t47 @t117 @t128))) % 0.38/1.00 (assume @p148 (forall @t118 (or (not (= @t94 @t127)) @t47 @t65 @t117 @t129))) % 0.38/1.00 (assume @p149 (forall @t118 (or @t108 (not (tptp.segmentP @t40 @t115)) @t117 @t65 @t47 (tptp.segmentP @t2 @t115)))) % 0.38/1.00 (assume @p150 (forall @t118 (or @t109 (not (tptp.rearsegP @t40 @t115)) @t117 @t65 @t47 (tptp.rearsegP @t2 @t115)))) % 0.38/1.00 (assume @p151 (forall @t118 (or @t110 (not (tptp.frontsegP @t40 @t115)) @t117 @t65 @t47 (tptp.frontsegP @t2 @t115)))) % 0.38/1.00 (assume @p152 (forall @t118 (or @t80 @t126 @t122 @t77 @t46 @t125))) % 0.38/1.00 (assume @p153 (forall @t118 (or @t87 (not (tptp.leq @t40 @t115)) @t122 @t77 @t46 (tptp.leq @t2 @t115)))) % 0.38/1.00 (assume @p154 (forall @t118 (or @t46 @t65 @t117 (= (tptp.cons @t2 (tptp.app @t40 @t115)) (tptp.app @t66 @t115))))) % 0.38/1.00 (assume @p155 (forall @t118 (or (not (tptp.memberP @t94 @t115)) @t65 @t47 @t122 @t130 (tptp.memberP @t2 @t115)))) % 0.38/1.00 (assume @p156 (forall @t41 (or (not @t114) (not @t105) @t65 @t46 @t106 @t97))) % 0.38/1.00 (assume @p157 (forall @t41 (or (not @t113) (not @t102) @t65 @t46 @t103 @t97))) % 0.38/1.00 (assume @p158 (forall @t118 (or (not (tptp.memberP @t66 @t115)) @t65 @t46 @t122 @t130 (= @t115 @t2)))) % 0.38/1.00 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.38/1.00 (assume @p160 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.38/1.00 (assume @p161 (forall @t4 (or @t47 @t70 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.38/1.00 (assume @p162 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.38/1.00 (assume @p163 (forall @t4 (or @t47 @t72 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.38/1.00 (assume @p164 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.38/1.00 (assume @p165 (forall @t41 (or @t108 @t65 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.38/1.00 (assume @p166 (forall @t41 (or @t123 @t77 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.38/1.00 (assume @p167 (forall @t135 (or @t134 @t122 @t46 @t132 @t65 @t129))) % 0.38/1.00 (assume @p168 (forall @t135 (or @t134 @t122 @t46 @t132 @t65 (= @t131 @t40)))) % 0.38/1.00 (assume @p169 (forall @t135 (or @t108 @t117 @t132 @t65 @t47 (tptp.segmentP (tptp.app (tptp.app @t131 @t2) @t115) @t40)))) % 0.38/1.00 (assume @p170 @t140) % 0.38/1.00 (assume @p171 (forall @t135 (or @t141 @t132 @t65 @t122 @t46 (tptp.frontsegP @t40 @t131)))) % 0.38/1.00 (assume @p172 (forall @t135 (or (not (= @t142 @t131)) @t117 @t47 @t77 @t132 (tptp.memberP @t131 @t40)))) % 0.38/1.00 (assume @p173 (forall @t135 (or @t141 @t132 @t65 @t122 @t46 @t129))) % 0.38/1.00 (assume @p174 (forall @t41 (or (not (= @t58 @t112)) (not (= @t59 @t101)) @t47 @t65 @t97 @t88 @t57))) % 0.38/1.00 (assume @p175 (forall @t135 (or @t110 (not (= @t115 @t131)) @t65 @t47 @t143 @t122 (tptp.frontsegP @t121 (tptp.cons @t131 @t40))))) % 0.38/1.00 (assume @p176 (forall @t146 (or (not (= (tptp.app @t142 (tptp.cons @t40 @t131)) @t144)) @t132 @t117 @t47 @t77 (not (tptp.duplicatefreeP @t144)) @t145))) % 0.38/1.00 (assume @p177 (forall @t146 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t133)) @t144)) @t132 @t47 @t122 @t77 (not (tptp.equalelemsP @t144)) @t145 @t128))) % 0.38/1.00 (assume @p178 (forall @t151 (or @t150 @t145 @t117 @t47 @t143 @t77 (not (tptp.strictorderedP @t148)) @t149 @t147))) % 0.38/1.00 (assume @p179 (forall @t151 (or @t150 @t145 @t117 @t47 @t143 @t77 (not (tptp.totalorderedP @t148)) @t149 @t152))) % 0.38/1.00 (assume @p180 (forall @t151 (or @t150 @t145 @t117 @t47 @t143 @t77 (not (tptp.strictorderP @t148)) @t149 @t147 (tptp.lt @t131 @t40)))) % 0.38/1.00 (assume @p181 (forall @t151 (or @t150 @t145 @t117 @t47 @t143 @t77 (not (tptp.totalorderP @t148)) @t149 @t152 (tptp.leq @t131 @t40)))) % 0.38/1.00 (assume @p182 (forall @t151 (or @t87 @t111 (not (= (tptp.app (tptp.app @t115 (tptp.cons @t2 @t131)) (tptp.cons @t40 @t144)) @t148)) @t145 @t132 @t117 @t77 @t46 (not (tptp.cyclefreeP @t148)) @t149))) % 0.38/1.00 (assume @p183 @t153) % 0.38/1.00 (assume @p184 @t154) % 0.38/1.00 (assume @p185 (tptp.ssList tptp.sk3)) % 0.38/1.00 (assume @p186 (tptp.ssList tptp.sk4)) % 0.38/1.00 (assume @p187 @t155) % 0.38/1.00 (assume @p188 @t156) % 0.38/1.00 (assume @p189 (or @t158 (not @t157))) % 0.38/1.00 (assume @p190 (or @t161 @t160)) % 0.38/1.00 (assume @p191 (or @t162 @t160)) % 0.38/1.00 (assume @p192 @t165) % 0.38/1.00 (assume @p193 @t167) % 0.38/1.00 (assume @p194 (or @t169 @t168)) % 0.38/1.00 (assume @p195 @t177) % 0.38/1.00 (assume @p196 (or @t179 @t168)) % 0.38/1.00 (assume @p197 (forall @t176 (or @t179 @t174 @t173 @t172 @t171))) % 0.38/1.00 (step @p198 :rule instantiate :premises (@p57) :args (@t180)) % 0.38/1.00 (step @p199 :rule cnf_or_pos :args (@t183)) % 0.38/1.00 (step @p200 :rule reordering :premises (@p199) :args ((or @t182 @t181 (not @t183)))) % 0.38/1.00 (step @p201 :rule chain_m_resolution :premises (@p200 @p183 @p198) :args (@t181 @t184 (@list @t153 @t183))) % 0.38/1.00 (assume-push @p623 @t155) % 0.38/1.00 (assume-push @p624 @t169) % 0.38/1.00 (assume-push @p625 @t155) % 0.38/1.00 (assume-push @p626 @t169) % 0.38/1.00 (step @p206 :rule trans :premises (@p624 @p187)) % 0.38/1.00 (step-pop @p627 :rule scope :premises (@p206)) % 0.38/1.00 (step-pop @p628 :rule scope :premises (@p627)) % 0.38/1.00 (step @p207 :rule process_scope :premises (@p628) :args (@t157)) % 0.38/1.00 (step @p210 :rule and_intro :premises (@p187 @p624)) % 0.38/1.00 (step @p211 :rule modus_ponens :premises (@p210 @p207)) % 0.38/1.00 (step-pop @p629 :rule scope :premises (@p211)) % 0.38/1.00 (step-pop @p630 :rule scope :premises (@p629)) % 0.38/1.00 (step @p212 :rule process_scope :premises (@p630) :args (@t157)) % 0.38/1.00 (step @p215 :rule implies_elim :premises (@p212)) % 0.38/1.00 (step @p216 :rule cnf_and_neg :args (@t185)) % 0.38/1.00 (step @p217 :rule resolution :premises (@p216 @p215) :args (true @t185)) % 0.38/1.00 (step @p218 :rule reordering :premises (@p217) :args ((or @t157 @t187 @t186))) % 0.38/1.00 (step @p219 :rule aci_norm :args ((= (or false @t188 @t65 @t65) (or @t188 @t65)))) % 0.38/1.00 (step @p220 :rule refl :args (@t65)) % 0.38/1.00 (step @p221 :rule refl :args (@t188)) % 0.38/1.00 (step @p222 :rule evaluate :args ((not true))) % 0.38/1.00 (step @p223 :rule eq-refl :args (@t40)) % 0.38/1.00 (step @p224 :rule cong :premises (@p223) :args (@t189)) % 0.38/1.00 (step @p225 :rule trans :premises (@p224 @p222)) % 0.38/1.00 (step @p226 :rule nary_cong :premises (@p225 @p221 @p220 @p220) :args (@t190)) % 0.38/1.00 (step @p227 :rule trans :premises (@p226 @p219)) % 0.38/1.00 (step @p228 :rule cong :premises (@p227) :args ((forall @t191 @t190))) % 0.38/1.00 (step @p229 :rule quant-var-elim-eq :args ((= (forall @t4 @t192) @t190))) % 0.38/1.00 (step @p230 :rule aci_norm :args ((= @t92 @t192))) % 0.38/1.00 (step @p231 :rule cong :premises (@p230) :args (@t193)) % 0.38/1.00 (step @p232 :rule trans :premises (@p231 @p229)) % 0.38/1.00 (step @p233 :rule cong :premises (@p232) :args (@t194)) % 0.38/1.00 (step @p234 :rule quant-merge-prenex :args ((= @t194 @t195))) % 0.38/1.00 (step @p235 :rule symm :premises (@p234)) % 0.38/1.00 (step @p236 :rule quant_var_reordering :args ((= @t93 @t195))) % 0.38/1.00 (step @p237 :rule trans :premises (@p236 @p235 @p233)) % 0.38/1.00 (step @p238 :rule trans :premises (@p237 @p228)) % 0.38/1.00 (step @p239 :rule eq_resolve :premises (@p113 @p238)) % 0.38/1.00 (step @p240 :rule instantiate :premises (@p239) :args (@t196)) % 0.38/1.00 (step @p241 :rule cnf_or_pos :args (@t200)) % 0.38/1.00 (step @p242 :rule reordering :premises (@p241) :args ((or @t197 @t199 (not @t200)))) % 0.38/1.00 (step @p243 :rule chain_m_resolution :premises (@p242 @p184 @p240) :args (@t199 @t184 (@list @t154 @t200))) % 0.38/1.00 (step @p244 :rule refl :args (@t201)) % 0.38/1.00 (step @p245 :rule bool-double-not-elim :args (@t198)) % 0.38/1.00 (step @p246 :rule refl :args (@t186)) % 0.38/1.00 (step @p247 :rule refl :args (@t187)) % 0.38/1.00 (step @p248 :rule nary_cong :premises (@p247 @p246 @p245 @p244) :args ((or @t187 @t186 (not @t199) @t201))) % 0.38/1.00 (assume-push @p631 @t155) % 0.38/1.00 (assume-push @p632 @t169) % 0.38/1.00 (assume-push @p633 @t199) % 0.38/1.00 (assume-push @p634 @t199) % 0.38/1.00 (assume-push @p635 @t155) % 0.38/1.00 (assume-push @p636 @t169) % 0.38/1.00 (step @p255 :rule false_intro :premises (@p243)) % 0.38/1.00 (step @p256 :rule symm :premises (@p187)) % 0.38/1.00 (step @p257 :rule cong :premises (@p256 @p632) :args (@t159)) % 0.38/1.00 (step @p258 :rule refl :args (tptp.nil)) % 0.38/1.00 (step @p259 :rule cong :premises (@p187 @p258) :args (@t168)) % 0.38/1.00 (step @p260 :rule trans :premises (@p259 @p257 @p255)) % 0.38/1.00 (step @p261 :rule false_elim :premises (@p260)) % 0.38/1.00 (step-pop @p637 :rule scope :premises (@p261)) % 0.38/1.00 (step-pop @p638 :rule scope :premises (@p637)) % 0.38/1.00 (step-pop @p639 :rule scope :premises (@p638)) % 0.38/1.00 (step @p262 :rule process_scope :premises (@p639) :args (@t201)) % 0.38/1.00 (step @p266 :rule and_intro :premises (@p243 @p187 @p632)) % 0.38/1.00 (step @p267 :rule modus_ponens :premises (@p266 @p262)) % 0.38/1.00 (step-pop @p640 :rule scope :premises (@p267)) % 0.38/1.00 (step-pop @p641 :rule scope :premises (@p640)) % 0.38/1.00 (step-pop @p642 :rule scope :premises (@p641)) % 0.38/1.00 (step @p268 :rule process_scope :premises (@p642) :args (@t201)) % 0.38/1.00 (step @p272 :rule implies_elim :premises (@p268)) % 0.38/1.00 (step @p273 :rule cnf_and_neg :args (@t202)) % 0.38/1.00 (step @p274 :rule resolution :premises (@p273 @p272) :args (true @t202)) % 0.38/1.00 (step @p275 :rule eq_resolve :premises (@p274 @p248)) % 0.38/1.00 (step @p276 :rule reordering :premises (@p275) :args ((or @t187 @t186 @t201 @t198))) % 0.38/1.00 (step @p277 :rule reordering :premises (@p196) :args ((or @t168 @t179))) % 0.38/1.00 (assume-push @p643 @t156) % 0.38/1.00 (assume-push @p644 @t158) % 0.38/1.00 (assume-push @p645 @t156) % 0.38/1.00 (assume-push @p646 @t158) % 0.38/1.00 (step @p282 :rule symm :premises (@p188)) % 0.38/1.00 (step @p283 :rule trans :premises (@p644 @p282)) % 0.38/1.00 (step-pop @p647 :rule scope :premises (@p283)) % 0.38/1.00 (step-pop @p648 :rule scope :premises (@p647)) % 0.38/1.00 (step @p284 :rule process_scope :premises (@p648) :args (@t178)) % 0.38/1.00 (step @p287 :rule and_intro :premises (@p188 @p644)) % 0.38/1.00 (step @p288 :rule modus_ponens :premises (@p287 @p284)) % 0.38/1.00 (step-pop @p649 :rule scope :premises (@p288)) % 0.38/1.00 (step-pop @p650 :rule scope :premises (@p649)) % 0.38/1.00 (step @p289 :rule process_scope :premises (@p650) :args (@t178)) % 0.38/1.00 (step @p292 :rule implies_elim :premises (@p289)) % 0.38/1.00 (step @p293 :rule cnf_and_neg :args (@t203)) % 0.38/1.00 (step @p294 :rule resolution :premises (@p293 @p292) :args (true @t203)) % 0.38/1.00 (step @p295 :rule reordering :premises (@p294) :args ((or @t178 @t204 (not @t158)))) % 0.38/1.00 (step @p296 :rule chain_m_resolution :premises (@p295 @p188 @p277 @p189 @p276 @p243 @p187 @p218 @p187) :args (@t186 (@list false true false true true false false false) (@list @t156 @t178 @t158 @t168 @t198 @t155 @t157 @t155))) % 0.38/1.00 (step @p297 :rule quant-miniscope-or :args ((= (forall @t176 @t207) (or @t169 @t206)))) % 0.38/1.00 (step @p298 :rule aci_norm :args ((= @t175 @t207))) % 0.38/1.00 (step @p299 :rule cong :premises (@p298) :args (@t177)) % 0.38/1.00 (step @p300 :rule trans :premises (@p299 @p297)) % 0.38/1.00 (step @p301 :rule eq_resolve :premises (@p195 @p300)) % 0.38/1.00 (step @p302 :rule chain_m_resolution :premises (@p301 @p296) :args (@t206 @t208 @t209)) % 0.38/1.00 (assume-push @p651 @t206) % 0.38/1.00 (step @p304 :rule instantiate :premises (@p651) :args (@t196)) % 0.38/1.00 (step-pop @p652 :rule scope :premises (@p304)) % 0.38/1.00 (step @p305 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(@p541 @p366 @p539 @p494 @p393) :args (@t246 @t218 (@list @t162 @t243 @t241 @t247))) % 0.38/1.00 (step @p543 :rule cnf_or_pos :args (@t281)) % 0.38/1.00 (step @p544 :rule reordering :premises (@p543) :args ((or @t226 @t233 @t280 @t245 (not @t281)))) % 0.38/1.00 (step @p545 :rule chain_m_resolution :premises (@p544 @p8 @p366 @p542 @p387) :args (@t280 (@list false false true false) (@list @t1 @t162 @t245 @t281))) % 0.38/1.00 (step @p546 :rule refl :args (@t282)) % 0.38/1.00 (step @p547 :rule bool-double-not-elim :args (@t210)) % 0.38/1.00 (step @p548 :rule refl :args (@t283)) % 0.38/1.00 (step @p549 :rule refl :args (@t284)) % 0.38/1.00 (step @p550 :rule refl :args (@t285)) % 0.38/1.00 (step @p551 :rule refl :args (@t286)) % 0.38/1.00 (step @p552 :rule refl :args (@t279)) % 0.38/1.00 (step @p553 :rule refl :args (@t269)) % 0.38/1.00 (step @p554 :rule refl :args (@t204)) % 0.38/1.00 (step @p555 :rule nary_cong :premises (@p247 @p554 @p553 @p552 @p551 @p550 @p549 @p548 @p547 @p546) :args ((or @t187 @t204 @t269 @t279 @t286 @t285 @t284 @t283 (not @t211) @t282))) % 0.38/1.00 (assume-push @p711 @t181) % 0.38/1.00 (assume-push @p712 @t156) % 0.38/1.00 (assume-push @p713 @t220) % 0.38/1.00 (assume-push @p714 @t238) % 0.38/1.00 (assume-push @p715 @t280) % 0.38/1.00 (assume-push @p716 @t225) % 0.38/1.00 (assume-push @p717 @t232) % 0.38/1.00 (assume-push @p718 @t222) % 0.38/1.00 (assume-push @p719 @t155) % 0.38/1.00 (assume-push @p720 @t211) % 0.38/1.00 (step @p566 :rule evaluate :args ((= false true))) % 0.38/1.00 (step @p567 :rule true_intro :premises (@p201)) % 0.38/1.00 (step @p282 :rule symm :premises (@p188)) % 0.38/1.00 (step @p568 :rule symm :premises (@p713)) % 0.38/1.00 (step @p471 :rule refl :args (tptp.sk6)) % 0.38/1.00 (step @p569 :rule symm :premises (@p714)) % 0.38/1.00 (step @p570 :rule cong :premises (@p569 @p471) :args ((tptp.app @t237 tptp.sk6))) % 0.38/1.00 (step @p571 :rule cong :premises (@p714 @p715) :args (@t224)) % 0.38/1.00 (step @p517 :rule refl :args (@t163)) % 0.38/1.00 (step @p572 :rule symm :premises (@p715)) % 0.38/1.00 (step @p573 :rule symm :premises (@p717)) % 0.38/1.00 (step @p574 :rule trans :premises (@p573 @p572)) % 0.38/1.00 (step @p575 :rule cong :premises (@p574 @p517) :args ((tptp.app @t231 @t163))) % 0.38/1.00 (step @p576 :rule cong :premises (@p717 @p517) :args (@t166)) % 0.38/1.00 (step @p577 :rule trans :premises (@p187 @p718 @p576 @p575 @p569 @p716 @p571 @p570 @p568 @p282)) % 0.38/1.00 (step @p578 :rule refl :args (tptp.sk1)) % 0.38/1.00 (step @p579 :rule cong :premises (@p578 @p577) :args (@t210)) % 0.38/1.00 (step @p580 :rule false_intro :premises (@p720)) % 0.38/1.00 (step @p581 :rule symm :premises (@p580)) % 0.38/1.00 (step @p582 :rule trans :premises (@p581 @p579 @p567)) % 0.38/1.00 (step @p583 false :rule eq_resolve :premises (@p582 @p566)) % 0.38/1.00 (step-pop @p721 :rule scope :premises (@p583)) % 0.38/1.00 (step-pop @p722 :rule scope :premises (@p721)) % 0.38/1.00 (step-pop @p723 :rule scope :premises (@p722)) % 0.38/1.00 (step-pop @p724 :rule scope :premises (@p723)) % 0.38/1.00 (step-pop @p725 :rule scope :premises (@p724)) % 0.38/1.00 (step-pop @p726 :rule scope :premises (@p725)) % 0.38/1.00 (step-pop @p727 :rule scope :premises (@p726)) % 0.38/1.00 (step-pop @p728 :rule scope :premises (@p727)) % 0.38/1.00 (step-pop @p729 :rule scope :premises (@p728)) % 0.38/1.00 (step-pop @p730 :rule scope :premises (@p729)) % 0.38/1.00 (step @p584 :rule process_scope :premises (@p730) :args (false)) % 0.38/1.00 (assume-push @p731 @t155) % 0.38/1.00 (assume-push @p732 @t156) % 0.38/1.00 (assume-push @p733 @t220) % 0.38/1.00 (assume-push @p734 @t222) % 0.38/1.00 (assume-push @p735 @t181) % 0.38/1.00 (assume-push @p736 @t232) % 0.38/1.00 (assume-push @p737 @t280) % 0.38/1.00 (assume-push @p738 @t225) % 0.38/1.00 (assume-push @p739 @t211) % 0.38/1.00 (assume-push @p740 @t238) % 0.38/1.00 (step @p605 :rule and_intro :premises (@p201 @p188 @p733 @p740 @p737 @p738 @p736 @p734 @p187 @p739)) % 0.38/1.00 (step-pop @p741 :rule scope :premises (@p605)) % 0.38/1.00 (step-pop @p742 :rule scope :premises (@p741)) % 0.38/1.00 (step-pop @p743 :rule scope :premises (@p742)) % 0.38/1.00 (step-pop @p744 :rule scope :premises (@p743)) % 0.38/1.00 (step-pop @p745 :rule scope :premises (@p744)) % 0.38/1.00 (step-pop @p746 :rule scope :premises (@p745)) % 0.38/1.00 (step-pop @p747 :rule scope :premises (@p746)) % 0.38/1.00 (step-pop @p748 :rule scope :premises (@p747)) % 0.38/1.00 (step-pop @p749 :rule scope :premises (@p748)) % 0.38/1.00 (step-pop @p750 :rule scope :premises (@p749)) % 0.38/1.00 (step @p606 :rule process_scope :premises (@p750) :args (@t287)) % 0.38/1.00 (step @p617 :rule implies_elim :premises (@p606)) % 0.38/1.00 (step @p618 :rule resolution :premises (@p617 @p584) :args (true @t287)) % 0.38/1.00 (step @p619 :rule not_and :premises (@p618)) % 0.38/1.00 (step @p620 :rule eq_resolve :premises (@p619 @p555)) % 0.38/1.00 (step @p621 :rule reordering :premises (@p620) :args ((or @t187 @t204 @t269 @t279 @t286 @t210 @t285 @t284 @t283 @t282))) % 0.38/1.00 (step @p622 false :rule chain_m_resolution :premises (@p621 @p545 @p381 @p369 @p358 @p348 @p343 @p316 @p201 @p188 @p187) :args (false (@list false false false false false false true false false false) (@list @t280 @t238 @t232 @t225 @t222 @t220 @t210 @t181 @t156 @t155))) % 0.38/1.00 ) % 0.38/1.00 % SZS output end Proof % 0.38/1.00 % cvc5 exiting %------------------------------------------------------------------------------