%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC018-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:57:43 AM UTC 2026 % Result : Unsatisfiable 1.96s 2.16s % Output : Proof 1.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC018-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n021.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:11:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.96/2.16 % SZS status Unsatisfiable % 1.96/2.16 % SZS output start Proof % 1.96/2.16 ( % 1.96/2.16 (declare-sort $$unsorted 0) % 1.96/2.16 (declare-const tptp.sk5 $$unsorted) % 1.96/2.16 (declare-const tptp.sk4 $$unsorted) % 1.96/2.16 (declare-const tptp.sk2 $$unsorted) % 1.96/2.16 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.96/2.16 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.96/2.16 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.96/2.16 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.96/2.16 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 1.96/2.16 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 1.96/2.16 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.96/2.16 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 1.96/2.16 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 1.96/2.16 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 1.96/2.16 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 1.96/2.16 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.96/2.16 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 1.96/2.16 (declare-const tptp.nil $$unsorted) % 1.96/2.16 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 1.96/2.16 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.96/2.17 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.96/2.17 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.sk1 $$unsorted) % 1.96/2.17 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.96/2.17 (declare-const tptp.skac2 $$unsorted) % 1.96/2.17 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.96/2.17 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.sk3 $$unsorted) % 1.96/2.17 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.96/2.17 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.96/2.17 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.96/2.17 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.96/2.17 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.96/2.17 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skac3 $$unsorted) % 1.96/2.17 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.96/2.17 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.96/2.17 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.96/2.17 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.96/2.17 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.96/2.17 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 1.96/2.17 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.96/2.17 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.96/2.17 (define @t1 () (tptp.ssList tptp.nil)) % 1.96/2.17 (define @t2 () (@var "U" $$unsorted)) % 1.96/2.17 (define @t3 () (tptp.skaf83 @t2)) % 1.96/2.17 (define @t4 () (@list @t2)) % 1.96/2.17 (define @t5 () (tptp.skaf82 @t2)) % 1.96/2.17 (define @t6 () (tptp.skaf81 @t2)) % 1.96/2.17 (define @t7 () (tptp.skaf80 @t2)) % 1.96/2.17 (define @t8 () (tptp.skaf79 @t2)) % 1.96/2.17 (define @t9 () (tptp.skaf78 @t2)) % 1.96/2.17 (define @t10 () (tptp.skaf77 @t2)) % 1.96/2.17 (define @t11 () (tptp.skaf76 @t2)) % 1.96/2.17 (define @t12 () (tptp.skaf75 @t2)) % 1.96/2.17 (define @t13 () (tptp.skaf74 @t2)) % 1.96/2.17 (define @t14 () (tptp.skaf73 @t2)) % 1.96/2.17 (define @t15 () (tptp.skaf72 @t2)) % 1.96/2.17 (define @t16 () (tptp.skaf71 @t2)) % 1.96/2.17 (define @t17 () (tptp.skaf70 @t2)) % 1.96/2.17 (define @t18 () (tptp.skaf69 @t2)) % 1.96/2.17 (define @t19 () (tptp.skaf68 @t2)) % 1.96/2.17 (define @t20 () (tptp.skaf67 @t2)) % 1.96/2.17 (define @t21 () (tptp.skaf66 @t2)) % 1.96/2.17 (define @t22 () (tptp.skaf65 @t2)) % 1.96/2.17 (define @t23 () (tptp.skaf64 @t2)) % 1.96/2.17 (define @t24 () (tptp.skaf63 @t2)) % 1.96/2.17 (define @t25 () (tptp.skaf62 @t2)) % 1.96/2.17 (define @t26 () (tptp.skaf61 @t2)) % 1.96/2.17 (define @t27 () (tptp.skaf60 @t2)) % 1.96/2.17 (define @t28 () (tptp.skaf59 @t2)) % 1.96/2.17 (define @t29 () (tptp.skaf58 @t2)) % 1.96/2.17 (define @t30 () (tptp.skaf57 @t2)) % 1.96/2.17 (define @t31 () (tptp.skaf56 @t2)) % 1.96/2.17 (define @t32 () (tptp.skaf55 @t2)) % 1.96/2.17 (define @t33 () (tptp.skaf54 @t2)) % 1.96/2.17 (define @t34 () (tptp.skaf53 @t2)) % 1.96/2.17 (define @t35 () (tptp.skaf52 @t2)) % 1.96/2.17 (define @t36 () (tptp.skaf51 @t2)) % 1.96/2.17 (define @t37 () (tptp.skaf50 @t2)) % 1.96/2.17 (define @t38 () (tptp.skaf49 @t2)) % 1.96/2.17 (define @t39 () (tptp.skaf44 @t2)) % 1.96/2.17 (define @t40 () (@var "V" $$unsorted)) % 1.96/2.17 (define @t41 () (@list @t2 @t40)) % 1.96/2.17 (define @t42 () (tptp.skaf47 @t2 @t40)) % 1.96/2.17 (define @t43 () (tptp.skaf46 @t2 @t40)) % 1.96/2.17 (define @t44 () (tptp.skaf45 @t2 @t40)) % 1.96/2.17 (define @t45 () (tptp.skaf42 @t2 @t40)) % 1.96/2.17 (define @t46 () (not (tptp.ssItem @t2))) % 1.96/2.17 (define @t47 () (not (tptp.ssList @t2))) % 1.96/2.17 (define @t48 () (tptp.cons @t2 tptp.nil)) % 1.96/2.17 (define @t49 () (tptp.ssItem @t40)) % 1.96/2.17 (define @t50 () (tptp.duplicatefreeP @t2)) % 1.96/2.17 (define @t51 () (= tptp.nil @t2)) % 1.96/2.17 (define @t52 () (tptp.tl @t2)) % 1.96/2.17 (define @t53 () (tptp.hd @t2)) % 1.96/2.17 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 1.96/2.17 (define @t55 () (not @t51)) % 1.96/2.17 (define @t56 () (tptp.rearsegP tptp.nil @t2)) % 1.96/2.17 (define @t57 () (tptp.frontsegP tptp.nil @t2)) % 1.96/2.17 (define @t58 () (tptp.app @t40 @t2)) % 1.96/2.17 (define @t59 () (not (tptp.ssList @t40))) % 1.96/2.17 (define @t60 () (tptp.cons @t2 @t40)) % 1.96/2.17 (define @t61 () (tptp.cyclefreeP @t2)) % 1.96/2.17 (define @t62 () (tptp.equalelemsP @t2)) % 1.96/2.17 (define @t63 () (tptp.strictorderedP @t2)) % 1.96/2.17 (define @t64 () (tptp.totalorderedP @t2)) % 1.96/2.17 (define @t65 () (tptp.strictorderP @t2)) % 1.96/2.17 (define @t66 () (tptp.totalorderP @t2)) % 1.96/2.17 (define @t67 () (= @t40 @t2)) % 1.96/2.17 (define @t68 () (tptp.neq @t40 @t2)) % 1.96/2.17 (define @t69 () (or @t47 @t59 @t68 @t67)) % 1.96/2.17 (define @t70 () (forall @t41 @t69)) % 1.96/2.17 (define @t71 () (not @t49)) % 1.96/2.17 (define @t72 () (tptp.leq @t2 @t40)) % 1.96/2.17 (define @t73 () (tptp.lt @t2 @t40)) % 1.96/2.17 (define @t74 () (not @t73)) % 1.96/2.17 (define @t75 () (tptp.lt @t40 @t2)) % 1.96/2.17 (define @t76 () (not (tptp.gt @t2 @t40))) % 1.96/2.17 (define @t77 () (tptp.gt @t40 @t2)) % 1.96/2.17 (define @t78 () (tptp.leq @t40 @t2)) % 1.96/2.17 (define @t79 () (not (tptp.geq @t2 @t40))) % 1.96/2.17 (define @t80 () (tptp.geq @t40 @t2)) % 1.96/2.17 (define @t81 () (not @t72)) % 1.96/2.17 (define @t82 () (= @t2 @t40)) % 1.96/2.17 (define @t83 () (not @t82)) % 1.96/2.17 (define @t84 () (tptp.cons @t40 @t2)) % 1.96/2.17 (define @t85 () (not (tptp.neq @t2 @t40))) % 1.96/2.17 (define @t86 () (or @t83 @t85 @t59 @t47)) % 1.96/2.17 (define @t87 () (forall @t41 @t86)) % 1.96/2.17 (define @t88 () (tptp.app @t2 @t40)) % 1.96/2.17 (define @t89 () (= @t88 tptp.nil)) % 1.96/2.17 (define @t90 () (not @t89)) % 1.96/2.17 (define @t91 () (or @t90 @t59 @t47 @t51)) % 1.96/2.17 (define @t92 () (forall @t41 @t91)) % 1.96/2.17 (define @t93 () (= tptp.nil @t40)) % 1.96/2.17 (define @t94 () (tptp.hd @t40)) % 1.96/2.17 (define @t95 () (tptp.strictorderedP @t40)) % 1.96/2.17 (define @t96 () (tptp.strictorderedP @t60)) % 1.96/2.17 (define @t97 () (not @t96)) % 1.96/2.17 (define @t98 () (tptp.totalorderedP @t40)) % 1.96/2.17 (define @t99 () (tptp.totalorderedP @t60)) % 1.96/2.17 (define @t100 () (not @t99)) % 1.96/2.17 (define @t101 () (not (tptp.segmentP @t2 @t40))) % 1.96/2.17 (define @t102 () (not (tptp.rearsegP @t2 @t40))) % 1.96/2.17 (define @t103 () (not (tptp.frontsegP @t2 @t40))) % 1.96/2.17 (define @t104 () (not @t78)) % 1.96/2.17 (define @t105 () (tptp.tl @t40)) % 1.96/2.17 (define @t106 () (tptp.lt @t2 @t94)) % 1.96/2.17 (define @t107 () (tptp.leq @t2 @t94)) % 1.96/2.17 (define @t108 () (@var "W" $$unsorted)) % 1.96/2.17 (define @t109 () (tptp.app @t108 @t2)) % 1.96/2.17 (define @t110 () (not (tptp.ssList @t108))) % 1.96/2.17 (define @t111 () (@list @t2 @t40 @t108)) % 1.96/2.17 (define @t112 () (tptp.app @t2 @t108)) % 1.96/2.17 (define @t113 () (tptp.cons @t40 @t108)) % 1.96/2.17 (define @t114 () (tptp.cons @t108 @t2)) % 1.96/2.17 (define @t115 () (not (tptp.ssItem @t108))) % 1.96/2.17 (define @t116 () (not (tptp.memberP @t2 @t40))) % 1.96/2.17 (define @t117 () (not (= @t88 @t108))) % 1.96/2.17 (define @t118 () (tptp.frontsegP @t108 @t2)) % 1.96/2.17 (define @t119 () (or @t117 @t59 @t47 @t110 @t118)) % 1.96/2.17 (define @t120 () (forall @t111 @t119)) % 1.96/2.17 (define @t121 () (tptp.lt @t2 @t108)) % 1.96/2.17 (define @t122 () (not (tptp.lt @t40 @t108))) % 1.96/2.17 (define @t123 () (tptp.app @t108 @t40)) % 1.96/2.17 (define @t124 () (= @t40 @t108)) % 1.96/2.17 (define @t125 () (= @t2 @t108)) % 1.96/2.17 (define @t126 () (tptp.memberP @t40 @t108)) % 1.96/2.17 (define @t127 () (@var "X" $$unsorted)) % 1.96/2.17 (define @t128 () (not (tptp.ssList @t127))) % 1.96/2.17 (define @t129 () (tptp.cons @t108 @t127)) % 1.96/2.17 (define @t130 () (not (= @t60 @t129))) % 1.96/2.17 (define @t131 () (@list @t2 @t40 @t108 @t127)) % 1.96/2.17 (define @t132 () (not (tptp.frontsegP @t60 @t129))) % 1.96/2.17 (define @t133 () (tptp.app @t2 @t113)) % 1.96/2.17 (define @t134 () (not (tptp.ssItem @t127))) % 1.96/2.17 (define @t135 () (@var "Y" $$unsorted)) % 1.96/2.17 (define @t136 () (not (tptp.ssList @t135))) % 1.96/2.17 (define @t137 () (@list @t2 @t40 @t108 @t127 @t135)) % 1.96/2.17 (define @t138 () (tptp.lt @t40 @t127)) % 1.96/2.17 (define @t139 () (@var "Z" $$unsorted)) % 1.96/2.17 (define @t140 () (not (tptp.ssList @t139))) % 1.96/2.17 (define @t141 () (not (= (tptp.app @t133 (tptp.cons @t127 @t135)) @t139))) % 1.96/2.17 (define @t142 () (@list @t2 @t40 @t108 @t127 @t135 @t139)) % 1.96/2.17 (define @t143 () (tptp.leq @t40 @t127)) % 1.96/2.17 (define @t144 () (tptp.ssList tptp.sk1)) % 1.96/2.17 (define @t145 () (tptp.ssList tptp.sk3)) % 1.96/2.17 (define @t146 () (= tptp.sk2 tptp.sk4)) % 1.96/2.17 (define @t147 () (= tptp.sk1 tptp.sk3)) % 1.96/2.17 (define @t148 () (tptp.ssList tptp.sk5)) % 1.96/2.17 (define @t149 () (tptp.app tptp.sk3 tptp.sk5)) % 1.96/2.17 (define @t150 () (@var "A" $$unsorted)) % 1.96/2.17 (define @t151 () (tptp.cons @t150 tptp.nil)) % 1.96/2.17 (define @t152 () (@var "C" $$unsorted)) % 1.96/2.17 (define @t153 () (@var "B" $$unsorted)) % 1.96/2.17 (define @t154 () (= tptp.nil tptp.sk3)) % 1.96/2.17 (define @t155 () (not @t154)) % 1.96/2.17 (define @t156 () (= tptp.nil tptp.sk4)) % 1.96/2.17 (define @t157 () (tptp.neq tptp.sk2 tptp.nil)) % 1.96/2.17 (define @t158 () (= tptp.nil tptp.sk2)) % 1.96/2.17 (define @t159 () (not (tptp.frontsegP tptp.sk1 @t150))) % 1.96/2.17 (define @t160 () (not (tptp.frontsegP tptp.sk2 @t150))) % 1.96/2.17 (define @t161 () (not (tptp.neq @t150 tptp.nil))) % 1.96/2.17 (define @t162 () (not (tptp.ssList @t150))) % 1.96/2.17 (define @t163 () (or @t158 @t162 @t161 @t160 @t159)) % 1.96/2.17 (define @t164 () (@list @t150)) % 1.96/2.17 (define @t165 () (forall @t164 @t163)) % 1.96/2.17 (define @t166 () (= tptp.nil tptp.sk1)) % 1.96/2.17 (define @t167 () (not @t166)) % 1.96/2.17 (define @t168 () (= tptp.sk4 @t149)) % 1.96/2.17 (define @t169 () (= tptp.nil @t149)) % 1.96/2.17 (define @t170 () (and @t156 @t168)) % 1.96/2.17 (define @t171 () (not @t156)) % 1.96/2.17 (define @t172 () (not @t168)) % 1.96/2.17 (define @t173 () (tptp.frontsegP @t88 @t2)) % 1.96/2.17 (define @t174 () (not (tptp.ssList @t88))) % 1.96/2.17 (define @t175 () (not (= @t88 @t88))) % 1.96/2.17 (define @t176 () (or @t175 @t59 @t47 @t174 @t173)) % 1.96/2.17 (define @t177 () (@list @t108)) % 1.96/2.17 (define @t178 () (or @t117 @t117 @t59 @t47 @t110 @t118)) % 1.96/2.17 (define @t179 () (forall @t177 @t119)) % 1.96/2.17 (define @t180 () (forall @t41 @t179)) % 1.96/2.17 (define @t181 () (@list tptp.sk3 tptp.sk5)) % 1.96/2.17 (define @t182 () (tptp.ssList @t149)) % 1.96/2.17 (define @t183 () (tptp.frontsegP @t149 tptp.sk3)) % 1.96/2.17 (define @t184 () (not @t182)) % 1.96/2.17 (define @t185 () (not @t145)) % 1.96/2.17 (define @t186 () (not @t148)) % 1.96/2.17 (define @t187 () (or @t186 @t185 @t184 @t183)) % 1.96/2.17 (define @t188 () (@list false false false false)) % 1.96/2.17 (define @t189 () (tptp.frontsegP tptp.nil tptp.sk1)) % 1.96/2.17 (define @t190 () (and @t147 @t156 @t168 @t183)) % 1.96/2.17 (define @t191 () (not @t147)) % 1.96/2.17 (define @t192 () (not @t169)) % 1.96/2.17 (define @t193 () (or @t192 @t186 @t185 @t154)) % 1.96/2.17 (define @t194 () (@list tptp.sk1)) % 1.96/2.17 (define @t195 () (not @t144)) % 1.96/2.17 (define @t196 () (not @t189)) % 1.96/2.17 (define @t197 () (or @t196 @t195 @t166)) % 1.96/2.17 (define @t198 () (not (tptp.neq @t40 @t40))) % 1.96/2.17 (define @t199 () (not (= @t40 @t40))) % 1.96/2.17 (define @t200 () (or @t199 @t198 @t59 @t59)) % 1.96/2.17 (define @t201 () (@list @t40)) % 1.96/2.17 (define @t202 () (or @t83 @t83 @t85 @t59 @t47)) % 1.96/2.17 (define @t203 () (forall @t4 @t86)) % 1.96/2.17 (define @t204 () (forall @t201 @t203)) % 1.96/2.17 (define @t205 () (forall (@list @t40 @t2) @t86)) % 1.96/2.17 (define @t206 () (tptp.neq tptp.sk1 tptp.sk1)) % 1.96/2.17 (define @t207 () (not @t206)) % 1.96/2.17 (define @t208 () (or @t207 @t195)) % 1.96/2.17 (define @t209 () (@list false false)) % 1.96/2.17 (define @t210 () (not @t157)) % 1.96/2.17 (define @t211 () (not @t146)) % 1.96/2.17 (define @t212 () (and @t146 @t147 @t156 @t154 @t207)) % 1.96/2.17 (define @t213 () (not @t158)) % 1.96/2.17 (define @t214 () (and @t146 @t171)) % 1.96/2.17 (define @t215 () (@list true false)) % 1.96/2.17 (define @t216 () (or @t162 @t161 @t160 @t159)) % 1.96/2.17 (define @t217 () (forall @t164 @t216)) % 1.96/2.17 (define @t218 () (or @t158 @t216)) % 1.96/2.17 (define @t219 () (@list true)) % 1.96/2.17 (define @t220 () (tptp.frontsegP tptp.sk1 tptp.sk3)) % 1.96/2.17 (define @t221 () (not @t220)) % 1.96/2.17 (define @t222 () (tptp.frontsegP tptp.sk2 tptp.sk3)) % 1.96/2.17 (define @t223 () (not @t222)) % 1.96/2.17 (define @t224 () (tptp.neq tptp.sk3 tptp.nil)) % 1.96/2.17 (define @t225 () (not @t224)) % 1.96/2.17 (define @t226 () (or @t185 @t225 @t223 @t221)) % 1.96/2.17 (define @t227 () (tptp.frontsegP tptp.sk1 tptp.sk1)) % 1.96/2.17 (define @t228 () (or @t195 @t227)) % 1.96/2.17 (define @t229 () (not @t1)) % 1.96/2.17 (define @t230 () (or @t229 @t185 @t224 @t154)) % 1.96/2.17 (define @t231 () (not @t230)) % 1.96/2.17 (define @t232 () (forall @t41 (or @t47 @t59 @t68 @t82))) % 1.96/2.17 (assume @p1 (tptp.equalelemsP tptp.nil)) % 1.96/2.17 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 1.96/2.17 (assume @p3 (tptp.strictorderedP tptp.nil)) % 1.96/2.17 (assume @p4 (tptp.totalorderedP tptp.nil)) % 1.96/2.17 (assume @p5 (tptp.strictorderP tptp.nil)) % 1.96/2.17 (assume @p6 (tptp.totalorderP tptp.nil)) % 1.96/2.17 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 1.96/2.17 (assume @p8 @t1) % 1.96/2.17 (assume @p9 (tptp.ssItem tptp.skac3)) % 1.96/2.17 (assume @p10 (tptp.ssItem tptp.skac2)) % 1.96/2.17 (assume @p11 (not (tptp.singletonP tptp.nil))) % 1.96/2.17 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 1.96/2.17 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 1.96/2.17 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 1.96/2.17 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 1.96/2.17 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 1.96/2.17 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 1.96/2.17 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 1.96/2.17 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 1.96/2.17 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 1.96/2.17 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 1.96/2.17 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 1.96/2.17 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 1.96/2.17 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 1.96/2.17 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 1.96/2.17 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 1.96/2.17 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 1.96/2.17 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 1.96/2.17 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 1.96/2.17 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 1.96/2.17 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 1.96/2.17 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 1.96/2.17 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 1.96/2.17 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 1.96/2.17 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 1.96/2.17 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 1.96/2.17 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 1.96/2.17 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 1.96/2.17 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 1.96/2.17 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 1.96/2.17 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 1.96/2.17 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 1.96/2.17 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 1.96/2.17 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 1.96/2.17 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 1.96/2.17 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 1.96/2.17 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 1.96/2.17 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 1.96/2.17 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 1.96/2.17 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 1.96/2.17 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 1.96/2.17 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 1.96/2.17 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 1.96/2.17 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 1.96/2.17 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 1.96/2.17 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 1.96/2.17 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 1.96/2.17 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 1.96/2.17 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 1.96/2.17 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 1.96/2.17 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 1.96/2.17 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 1.96/2.17 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 1.96/2.17 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 1.96/2.17 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 1.96/2.17 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 1.96/2.17 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 1.96/2.17 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 1.96/2.17 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 1.96/2.17 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 1.96/2.17 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 1.96/2.17 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 1.96/2.17 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.96/2.17 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 1.96/2.17 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 1.96/2.17 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 1.96/2.17 (assume @p77 (forall @t4 (or @t55 @t47 @t54))) % 1.96/2.17 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 1.96/2.17 (assume @p79 (forall @t4 (or @t55 @t47 @t56))) % 1.96/2.17 (assume @p80 (forall @t4 (or (not @t56) @t47 @t51))) % 1.96/2.17 (assume @p81 (forall @t4 (or @t55 @t47 @t57))) % 1.96/2.17 (assume @p82 (forall @t4 (or (not @t57) @t47 @t51))) % 1.96/2.17 (assume @p83 (forall @t41 (or @t47 @t59 (tptp.ssList @t58)))) % 1.96/2.17 (assume @p84 (forall @t41 (or @t46 @t59 (tptp.ssList @t60)))) % 1.96/2.17 (assume @p85 (forall @t4 (or @t47 @t61 (tptp.leq @t37 @t38)))) % 1.96/2.17 (assume @p86 (forall @t4 (or @t47 @t61 (tptp.leq @t38 @t37)))) % 1.96/2.17 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t62))) % 1.96/2.17 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t63))) % 1.96/2.17 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t64))) % 1.96/2.17 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t65))) % 1.96/2.17 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t65))) % 1.96/2.17 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t66))) % 1.96/2.17 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t66))) % 1.96/2.17 (assume @p94 (forall @t41 (or @t46 @t59 (= (tptp.tl @t60) @t40)))) % 1.96/2.17 (assume @p95 (forall @t41 (or @t46 @t59 (= (tptp.hd @t60) @t2)))) % 1.96/2.17 (assume @p96 (forall @t41 (or (not (= @t60 tptp.nil)) @t46 @t59))) % 1.96/2.17 (assume @p97 (forall @t41 (or (not (= @t60 @t40)) @t46 @t59))) % 1.96/2.17 (assume @p98 @t70) % 1.96/2.17 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 1.96/2.17 (assume @p100 (forall @t41 (or @t46 @t71 @t68 @t67))) % 1.96/2.17 (assume @p101 (forall @t41 (or @t74 @t71 @t46 @t72))) % 1.96/2.17 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 1.96/2.17 (assume @p103 (forall @t41 (or @t76 @t71 @t46 @t75))) % 1.96/2.17 (assume @p104 (forall @t41 (or @t74 @t46 @t71 @t77))) % 1.96/2.17 (assume @p105 (forall @t41 (or @t79 @t71 @t46 @t78))) % 1.96/2.17 (assume @p106 (forall @t41 (or @t81 @t46 @t71 @t80))) % 1.96/2.17 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 1.96/2.17 (assume @p108 (forall @t41 (or @t76 (not @t77) @t46 @t71))) % 1.96/2.17 (assume @p109 (forall @t41 (or @t83 @t74 @t71 @t46))) % 1.96/2.17 (assume @p110 (forall @t41 (or @t55 @t47 @t71 (tptp.strictorderedP @t84)))) % 1.96/2.17 (assume @p111 (forall @t41 (or @t55 @t47 @t71 (tptp.totalorderedP @t84)))) % 1.96/2.17 (assume @p112 (forall @t41 (or @t74 (not @t75) @t46 @t71))) % 1.96/2.17 (assume @p113 @t87) % 1.96/2.17 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t59 (tptp.singletonP @t40)))) % 1.96/2.17 (assume @p115 (forall @t41 (or @t83 @t85 @t71 @t46))) % 1.96/2.17 (assume @p116 @t92) % 1.96/2.17 (assume @p117 (forall @t41 (or @t90 @t59 @t47 @t93))) % 1.96/2.17 (assume @p118 (forall @t41 (or @t46 @t59 (= (tptp.app @t48 @t40) @t60)))) % 1.96/2.17 (assume @p119 (forall @t41 (or @t81 @t71 @t46 @t73 @t82))) % 1.96/2.17 (assume @p120 (forall @t41 (or @t47 @t59 @t93 (= (tptp.hd @t58) @t94)))) % 1.96/2.17 (assume @p121 (forall @t41 (or @t97 @t59 @t46 @t95 @t93))) % 1.96/2.17 (assume @p122 (forall @t41 (or @t100 @t59 @t46 @t98 @t93))) % 1.96/2.17 (assume @p123 (forall @t41 (or @t79 (not @t80) @t46 @t71 @t67))) % 1.96/2.17 (assume @p124 (forall @t41 (or @t101 (not (tptp.segmentP @t40 @t2)) @t47 @t59 @t67))) % 1.96/2.17 (assume @p125 (forall @t41 (or @t102 (not (tptp.rearsegP @t40 @t2)) @t47 @t59 @t67))) % 1.96/2.17 (assume @p126 (forall @t41 (or @t103 (not (tptp.frontsegP @t40 @t2)) @t47 @t59 @t67))) % 1.96/2.17 (assume @p127 (forall @t41 (or @t81 @t104 @t46 @t71 @t67))) % 1.96/2.17 (assume @p128 (forall @t41 (or @t102 @t59 @t47 (= (tptp.app @t43 @t40) @t2)))) % 1.96/2.17 (assume @p129 (forall @t41 (or @t103 @t59 @t47 (= (tptp.app @t40 @t44) @t2)))) % 1.96/2.17 (assume @p130 (forall @t41 (or @t47 @t59 @t93 (= (tptp.tl @t58) (tptp.app @t105 @t2))))) % 1.96/2.17 (assume @p131 (forall @t41 (or @t97 @t59 @t46 @t106 @t93))) % 1.96/2.17 (assume @p132 (forall @t41 (or @t100 @t59 @t46 @t107 @t93))) % 1.96/2.17 (assume @p133 (forall @t111 (or @t102 @t110 @t59 @t47 (tptp.rearsegP @t109 @t40)))) % 1.96/2.17 (assume @p134 (forall @t111 (or @t103 @t110 @t59 @t47 (tptp.frontsegP @t112 @t40)))) % 1.96/2.17 (assume @p135 (forall @t111 (or @t83 @t110 @t71 @t46 (tptp.memberP @t113 @t2)))) % 1.96/2.17 (assume @p136 (forall @t111 (or @t116 @t47 @t115 @t71 (tptp.memberP @t114 @t40)))) % 1.96/2.17 (assume @p137 (forall @t111 (or @t116 @t110 @t47 @t71 (tptp.memberP @t112 @t40)))) % 1.96/2.17 (assume @p138 (forall @t111 (or @t116 @t47 @t110 @t71 (tptp.memberP @t109 @t40)))) % 1.96/2.17 (assume @p139 (forall @t4 (or @t47 @t62 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 1.96/2.17 (assume @p140 (forall @t111 (or @t117 @t47 @t59 @t110 (tptp.rearsegP @t108 @t40)))) % 1.96/2.17 (assume @p141 @t120) % 1.96/2.17 (assume @p142 (forall @t41 (or @t55 (not @t93) @t59 @t47 @t89))) % 1.96/2.17 (assume @p143 (forall @t111 (or @t76 (not (tptp.gt @t40 @t108)) @t115 @t71 @t46 (tptp.gt @t2 @t108)))) % 1.96/2.17 (assume @p144 (forall @t111 (or @t81 @t122 @t115 @t71 @t46 @t121))) % 1.96/2.17 (assume @p145 (forall @t111 (or @t79 (not (tptp.geq @t40 @t108)) @t115 @t71 @t46 (tptp.geq @t2 @t108)))) % 1.96/2.17 (assume @p146 (forall @t111 (or @t47 @t59 @t110 (= (tptp.app @t123 @t2) (tptp.app @t108 @t58))))) % 1.96/2.17 (assume @p147 (forall @t111 (or (not (= @t88 @t112)) @t59 @t47 @t110 @t124))) % 1.96/2.17 (assume @p148 (forall @t111 (or (not (= @t88 @t123)) @t47 @t59 @t110 @t125))) % 1.96/2.17 (assume @p149 (forall @t111 (or @t101 (not (tptp.segmentP @t40 @t108)) @t110 @t59 @t47 (tptp.segmentP @t2 @t108)))) % 1.96/2.17 (assume @p150 (forall @t111 (or @t102 (not (tptp.rearsegP @t40 @t108)) @t110 @t59 @t47 (tptp.rearsegP @t2 @t108)))) % 1.96/2.17 (assume @p151 (forall @t111 (or @t103 (not (tptp.frontsegP @t40 @t108)) @t110 @t59 @t47 (tptp.frontsegP @t2 @t108)))) % 1.96/2.17 (assume @p152 (forall @t111 (or @t74 @t122 @t115 @t71 @t46 @t121))) % 1.96/2.17 (assume @p153 (forall @t111 (or @t81 (not (tptp.leq @t40 @t108)) @t115 @t71 @t46 (tptp.leq @t2 @t108)))) % 1.96/2.17 (assume @p154 (forall @t111 (or @t46 @t59 @t110 (= (tptp.cons @t2 (tptp.app @t40 @t108)) (tptp.app @t60 @t108))))) % 1.96/2.17 (assume @p155 (forall @t111 (or (not (tptp.memberP @t88 @t108)) @t59 @t47 @t115 @t126 (tptp.memberP @t2 @t108)))) % 1.96/2.17 (assume @p156 (forall @t41 (or (not @t107) (not @t98) @t59 @t46 @t99 @t93))) % 1.96/2.17 (assume @p157 (forall @t41 (or (not @t106) (not @t95) @t59 @t46 @t96 @t93))) % 1.96/2.17 (assume @p158 (forall @t111 (or (not (tptp.memberP @t60 @t108)) @t59 @t46 @t115 @t126 (= @t108 @t2)))) % 1.96/2.17 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 1.96/2.17 (assume @p160 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 1.96/2.17 (assume @p161 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 1.96/2.17 (assume @p162 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 1.96/2.17 (assume @p163 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 1.96/2.17 (assume @p164 (forall @t4 (or @t47 @t61 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 1.96/2.17 (assume @p165 (forall @t41 (or @t101 @t59 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 1.96/2.17 (assume @p166 (forall @t41 (or @t116 @t71 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 1.96/2.17 (assume @p167 (forall @t131 (or @t130 @t115 @t46 @t128 @t59 @t125))) % 1.96/2.17 (assume @p168 (forall @t131 (or @t130 @t115 @t46 @t128 @t59 (= @t127 @t40)))) % 1.96/2.17 (assume @p169 (forall @t131 (or @t101 @t110 @t128 @t59 @t47 (tptp.segmentP (tptp.app (tptp.app @t127 @t2) @t108) @t40)))) % 1.96/2.17 (assume @p170 (forall @t131 (or (not (= (tptp.app @t88 @t108) @t127)) @t110 @t47 @t59 @t128 (tptp.segmentP @t127 @t40)))) % 1.96/2.17 (assume @p171 (forall @t131 (or @t132 @t128 @t59 @t115 @t46 (tptp.frontsegP @t40 @t127)))) % 1.96/2.17 (assume @p172 (forall @t131 (or (not (= @t133 @t127)) @t110 @t47 @t71 @t128 (tptp.memberP @t127 @t40)))) % 1.96/2.17 (assume @p173 (forall @t131 (or @t132 @t128 @t59 @t115 @t46 @t125))) % 1.96/2.17 (assume @p174 (forall @t41 (or (not (= @t52 @t105)) (not (= @t53 @t94)) @t47 @t59 @t93 @t82 @t51))) % 1.96/2.17 (assume @p175 (forall @t131 (or @t103 (not (= @t108 @t127)) @t59 @t47 @t134 @t115 (tptp.frontsegP @t114 (tptp.cons @t127 @t40))))) % 1.96/2.17 (assume @p176 (forall @t137 (or (not (= (tptp.app @t133 (tptp.cons @t40 @t127)) @t135)) @t128 @t110 @t47 @t71 (not (tptp.duplicatefreeP @t135)) @t136))) % 1.96/2.17 (assume @p177 (forall @t137 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t129)) @t135)) @t128 @t47 @t115 @t71 (not (tptp.equalelemsP @t135)) @t136 @t124))) % 1.96/2.17 (assume @p178 (forall @t142 (or @t141 @t136 @t110 @t47 @t134 @t71 (not (tptp.strictorderedP @t139)) @t140 @t138))) % 1.96/2.17 (assume @p179 (forall @t142 (or @t141 @t136 @t110 @t47 @t134 @t71 (not (tptp.totalorderedP @t139)) @t140 @t143))) % 1.96/2.17 (assume @p180 (forall @t142 (or @t141 @t136 @t110 @t47 @t134 @t71 (not (tptp.strictorderP @t139)) @t140 @t138 (tptp.lt @t127 @t40)))) % 1.96/2.17 (assume @p181 (forall @t142 (or @t141 @t136 @t110 @t47 @t134 @t71 (not (tptp.totalorderP @t139)) @t140 @t143 (tptp.leq @t127 @t40)))) % 1.96/2.17 (assume @p182 (forall @t142 (or @t81 @t104 (not (= (tptp.app (tptp.app @t108 (tptp.cons @t2 @t127)) (tptp.cons @t40 @t135)) @t139)) @t136 @t128 @t110 @t71 @t46 (not (tptp.cyclefreeP @t139)) @t140))) % 1.96/2.17 (assume @p183 @t144) % 1.96/2.17 (assume @p184 (tptp.ssList tptp.sk2)) % 1.96/2.17 (assume @p185 @t145) % 1.96/2.17 (assume @p186 (tptp.ssList tptp.sk4)) % 1.96/2.17 (assume @p187 @t146) % 1.96/2.17 (assume @p188 @t147) % 1.96/2.17 (assume @p189 @t148) % 1.96/2.17 (assume @p190 (= @t149 tptp.sk4)) % 1.96/2.17 (assume @p191 (tptp.equalelemsP tptp.sk3)) % 1.96/2.17 (assume @p192 (forall (@list @t150 @t153 @t152) (or (not (tptp.ssItem @t150)) (not (tptp.ssList @t153)) (not (= (tptp.app @t151 @t153) tptp.sk5)) (not (tptp.ssList @t152)) (not (= (tptp.app @t152 @t151) tptp.sk3))))) % 1.96/2.17 (assume @p193 (or @t156 @t155)) % 1.96/2.17 (assume @p194 (or @t158 @t157)) % 1.96/2.17 (assume @p195 @t165) % 1.96/2.17 (assume @p196 (or @t167 @t157)) % 1.96/2.17 (assume @p197 (forall @t164 (or @t167 @t162 @t161 @t160 @t159))) % 1.96/2.17 (step @p198 :rule eq-symm :args (@t40 @t2)) % 1.96/2.17 (step @p199 :rule refl :args (@t68)) % 1.96/2.17 (step @p200 :rule refl :args (@t59)) % 1.96/2.17 (step @p201 :rule refl :args (@t47)) % 1.96/2.17 (step @p202 :rule nary_cong :premises (@p201 @p200 @p199 @p198) :args (@t69)) % 1.96/2.17 (step @p203 :rule cong :premises (@p202) :args (@t70)) % 1.96/2.17 (step @p204 :rule eq_resolve :premises (@p98 @p203)) % 1.96/2.17 (step @p205 :rule symm :premises (@p190)) % 1.96/2.17 (assume-push @p437 @t156) % 1.96/2.17 (assume-push @p438 @t168) % 1.96/2.17 (assume-push @p439 @t168) % 1.96/2.17 (assume-push @p440 @t156) % 1.96/2.17 (step @p210 :rule trans :premises (@p437 @p205)) % 1.96/2.17 (step-pop @p441 :rule scope :premises (@p210)) % 1.96/2.17 (step-pop @p442 :rule scope :premises (@p441)) % 1.96/2.17 (step @p211 :rule process_scope :premises (@p442) :args (@t169)) % 1.96/2.17 (step @p214 :rule and_intro :premises (@p205 @p437)) % 1.96/2.17 (step @p215 :rule modus_ponens :premises (@p214 @p211)) % 1.96/2.17 (step-pop @p443 :rule scope :premises (@p215)) % 1.96/2.17 (step-pop @p444 :rule scope :premises (@p443)) % 1.96/2.17 (step @p216 :rule process_scope :premises (@p444) :args (@t169)) % 1.96/2.17 (step @p219 :rule implies_elim :premises (@p216)) % 1.96/2.17 (step @p220 :rule cnf_and_neg :args (@t170)) % 1.96/2.17 (step @p221 :rule resolution :premises (@p220 @p219) :args (true @t170)) % 1.96/2.17 (step @p222 :rule reordering :premises (@p221) :args ((or @t172 @t171 @t169))) % 1.96/2.17 (step @p223 :rule aci_norm :args ((= (or false @t59 @t47 @t174 @t173) (or @t59 @t47 @t174 @t173)))) % 1.96/2.17 (step @p224 :rule refl :args (@t173)) % 1.96/2.17 (step @p225 :rule refl :args (@t174)) % 1.96/2.17 (step @p226 :rule evaluate :args ((not true))) % 1.96/2.17 (step @p227 :rule eq-refl :args (@t88)) % 1.96/2.17 (step @p228 :rule cong :premises (@p227) :args (@t175)) % 1.96/2.17 (step @p229 :rule trans :premises (@p228 @p226)) % 1.96/2.17 (step @p230 :rule nary_cong :premises (@p229 @p200 @p201 @p225 @p224) :args (@t176)) % 1.96/2.17 (step @p231 :rule trans :premises (@p230 @p223)) % 1.96/2.17 (step @p232 :rule cong :premises (@p231) :args ((forall @t41 @t176))) % 1.96/2.17 (step @p233 :rule quant-var-elim-eq :args ((= (forall @t177 (or (not (= @t108 @t88)) @t117 @t59 @t47 @t110 @t118)) @t176))) % 1.96/2.17 (step @p234 :rule refl :args (@t118)) % 1.96/2.17 (step @p235 :rule refl :args (@t110)) % 1.96/2.17 (step @p236 :rule refl :args (@t47)) % 1.96/2.17 (step @p237 :rule refl :args (@t59)) % 1.96/2.17 (step @p238 :rule refl :args (@t117)) % 1.96/2.17 (step @p239 :rule eq-symm :args (@t88 @t108)) % 1.96/2.17 (step @p240 :rule cong :premises (@p239) :args (@t117)) % 1.96/2.17 (step @p241 :rule nary_cong :premises (@p240 @p238 @p237 @p236 @p235 @p234) :args (@t178)) % 1.96/2.17 (step @p242 :rule aci_norm :args ((= @t119 @t178))) % 1.96/2.17 (step @p243 :rule trans :premises (@p242 @p241)) % 1.96/2.17 (step @p244 :rule cong :premises (@p243) :args (@t179)) % 1.96/2.17 (step @p245 :rule trans :premises (@p244 @p233)) % 1.96/2.17 (step @p246 :rule cong :premises (@p245) :args (@t180)) % 1.96/2.17 (step @p247 :rule quant-merge-prenex :args ((= @t180 @t120))) % 1.96/2.17 (step @p248 :rule symm :premises (@p247)) % 1.96/2.17 (step @p249 :rule trans :premises (@p248 @p246)) % 1.96/2.17 (step @p250 :rule trans :premises (@p249 @p232)) % 1.96/2.17 (step @p251 :rule eq_resolve :premises (@p141 @p250)) % 1.96/2.17 (step @p252 :rule instantiate :premises (@p251) :args (@t181)) % 1.96/2.17 (step @p253 :rule true_intro :premises (@p184)) % 1.96/2.17 (step @p254 :rule symm :premises (@p187)) % 1.96/2.17 (step @p255 :rule trans :premises (@p190 @p254)) % 1.96/2.17 (step @p256 :rule cong :premises (@p255) :args (@t182)) % 1.96/2.17 (step @p257 :rule trans :premises (@p256 @p253)) % 1.96/2.17 (step @p258 :rule true_elim :premises (@p257)) % 1.96/2.17 (step @p259 :rule cnf_or_pos :args (@t187)) % 1.96/2.17 (step @p260 :rule reordering :premises (@p259) :args ((or @t185 @t186 @t184 @t183 (not @t187)))) % 1.96/2.17 (step @p261 :rule chain_m_resolution :premises (@p260 @p185 @p189 @p258 @p252) :args (@t183 @t188 (@list @t145 @t148 @t182 @t187))) % 1.96/2.17 (assume-push @p445 @t147) % 1.96/2.17 (assume-push @p446 @t156) % 1.96/2.17 (assume-push @p447 @t168) % 1.96/2.17 (assume-push @p448 @t183) % 1.96/2.17 (assume-push @p449 @t183) % 1.96/2.17 (assume-push @p450 @t168) % 1.96/2.17 (assume-push @p451 @t156) % 1.96/2.17 (assume-push @p452 @t147) % 1.96/2.17 (step @p270 :rule true_intro :premises (@p261)) % 1.96/2.17 (step @p271 :rule trans :premises (@p446 @p205)) % 1.96/2.17 (step @p272 :rule cong :premises (@p271 @p188) :args (@t189)) % 1.96/2.17 (step @p273 :rule trans :premises (@p272 @p270)) % 1.96/2.17 (step @p274 :rule true_elim :premises (@p273)) % 1.96/2.17 (step-pop @p453 :rule scope :premises (@p274)) % 1.96/2.17 (step-pop @p454 :rule scope :premises (@p453)) % 1.96/2.17 (step-pop @p455 :rule scope :premises (@p454)) % 1.96/2.17 (step-pop @p456 :rule scope :premises (@p455)) % 1.96/2.17 (step @p275 :rule process_scope :premises (@p456) :args (@t189)) % 1.96/2.17 (step @p280 :rule and_intro :premises (@p261 @p205 @p446 @p188)) % 1.96/2.17 (step @p281 :rule modus_ponens :premises (@p280 @p275)) % 1.96/2.17 (step-pop @p457 :rule scope :premises (@p281)) % 1.96/2.17 (step-pop @p458 :rule scope :premises (@p457)) % 1.96/2.17 (step-pop @p459 :rule scope :premises (@p458)) % 1.96/2.17 (step-pop @p460 :rule scope :premises (@p459)) % 1.96/2.17 (step @p282 :rule process_scope :premises (@p460) :args (@t189)) % 1.96/2.17 (step @p287 :rule implies_elim :premises (@p282)) % 1.96/2.17 (step @p288 :rule cnf_and_neg :args (@t190)) % 1.96/2.17 (step @p289 :rule resolution :premises (@p288 @p287) :args (true @t190)) % 1.96/2.17 (step @p290 :rule reordering :premises (@p289) :args ((or @t191 @t172 @t171 @t189 (not @t183)))) % 1.96/2.17 (step @p291 :rule refl :args (@t51)) % 1.96/2.17 (step @p292 :rule eq-symm :args (@t88 tptp.nil)) % 1.96/2.17 (step @p293 :rule cong :premises (@p292) :args (@t90)) % 1.96/2.17 (step @p294 :rule nary_cong :premises (@p293 @p200 @p201 @p291) :args (@t91)) % 1.96/2.17 (step @p295 :rule cong :premises (@p294) :args (@t92)) % 1.96/2.17 (step @p296 :rule eq_resolve :premises (@p116 @p295)) % 1.96/2.17 (step @p297 :rule instantiate :premises (@p296) :args (@t181)) % 1.96/2.17 (step @p298 :rule cnf_or_pos :args (@t193)) % 1.96/2.17 (step @p299 :rule reordering :premises (@p298) :args ((or @t154 @t185 @t186 @t192 (not @t193)))) % 1.96/2.17 (step @p300 :rule instantiate :premises (@p82) :args (@t194)) % 1.96/2.17 (step @p301 :rule cnf_or_pos :args (@t197)) % 1.96/2.17 (step @p302 :rule reordering :premises (@p301) :args ((or @t166 @t195 @t196 (not @t197)))) % 1.96/2.17 (step @p303 :rule reordering :premises (@p196) :args ((or @t157 @t167))) % 1.96/2.17 (step @p304 :rule aci_norm :args ((= (or false @t198 @t59 @t59) (or @t198 @t59)))) % 1.96/2.17 (step @p305 :rule refl :args (@t198)) % 1.96/2.17 (step @p306 :rule eq-refl :args (@t40)) % 1.96/2.17 (step @p307 :rule cong :premises (@p306) :args (@t199)) % 1.96/2.17 (step @p308 :rule trans :premises (@p307 @p226)) % 1.96/2.17 (step @p309 :rule nary_cong :premises (@p308 @p305 @p200 @p200) :args (@t200)) % 1.96/2.17 (step @p310 :rule trans :premises (@p309 @p304)) % 1.96/2.17 (step @p311 :rule cong :premises (@p310) :args ((forall @t201 @t200))) % 1.96/2.17 (step @p312 :rule quant-var-elim-eq :args ((= (forall @t4 @t202) @t200))) % 1.96/2.17 (step @p313 :rule aci_norm :args ((= @t86 @t202))) % 1.96/2.17 (step @p314 :rule cong :premises (@p313) :args (@t203)) % 1.96/2.17 (step @p315 :rule trans :premises (@p314 @p312)) % 1.96/2.17 (step @p316 :rule cong :premises (@p315) :args (@t204)) % 1.96/2.17 (step @p317 :rule quant-merge-prenex :args ((= @t204 @t205))) % 1.96/2.17 (step @p318 :rule symm :premises (@p317)) % 1.96/2.17 (step @p319 :rule quant_var_reordering :args ((= @t87 @t205))) % 1.96/2.17 (step @p320 :rule trans :premises (@p319 @p318 @p316)) % 1.96/2.17 (step @p321 :rule trans :premises (@p320 @p311)) % 1.96/2.17 (step @p322 :rule eq_resolve :premises (@p113 @p321)) % 1.96/2.17 (step @p323 :rule instantiate :premises (@p322) :args (@t194)) % 1.96/2.17 (step @p324 :rule cnf_or_pos :args (@t208)) % 1.96/2.17 (step @p325 :rule reordering :premises (@p324) :args ((or @t195 @t207 (not @t208)))) % 1.96/2.17 (step @p326 :rule chain_m_resolution :premises (@p325 @p183 @p323) :args (@t207 @t209 (@list @t144 @t208))) % 1.96/2.17 (step @p327 :rule refl :args (@t210)) % 1.96/2.17 (step @p328 :rule bool-double-not-elim :args (@t206)) % 1.96/2.17 (step @p329 :rule refl :args (@t155)) % 1.96/2.17 (step @p330 :rule refl :args (@t171)) % 1.96/2.17 (step @p331 :rule refl :args (@t191)) % 1.96/2.17 (step @p332 :rule refl :args (@t211)) % 1.96/2.17 (step @p333 :rule nary_cong :premises (@p332 @p331 @p330 @p329 @p328 @p327) :args ((or @t211 @t191 @t171 @t155 (not @t207) @t210))) % 1.96/2.17 (assume-push @p461 @t146) % 1.96/2.17 (assume-push @p462 @t147) % 1.96/2.17 (assume-push @p463 @t156) % 1.96/2.17 (assume-push @p464 @t154) % 1.96/2.17 (assume-push @p465 @t207) % 1.96/2.17 (assume-push @p466 @t207) % 1.96/2.17 (assume-push @p467 @t147) % 1.96/2.17 (assume-push @p468 @t154) % 1.96/2.17 (assume-push @p469 @t156) % 1.96/2.17 (assume-push @p470 @t146) % 1.96/2.17 (step @p344 :rule false_intro :premises (@p326)) % 1.96/2.17 (step @p345 :rule symm :premises (@p188)) % 1.96/2.17 (step @p346 :rule trans :premises (@p464 @p345)) % 1.96/2.17 (step @p347 :rule symm :premises (@p463)) % 1.96/2.17 (step @p348 :rule trans :premises (@p187 @p347 @p464 @p345)) % 1.96/2.17 (step @p349 :rule cong :premises (@p348 @p346) :args (@t157)) % 1.96/2.17 (step @p350 :rule trans :premises (@p349 @p344)) % 1.96/2.17 (step @p351 :rule false_elim :premises (@p350)) % 1.96/2.17 (step-pop @p471 :rule scope :premises (@p351)) % 1.96/2.17 (step-pop @p472 :rule scope :premises (@p471)) % 1.96/2.17 (step-pop @p473 :rule scope :premises (@p472)) % 1.96/2.17 (step-pop @p474 :rule scope :premises (@p473)) % 1.96/2.17 (step-pop @p475 :rule scope :premises (@p474)) % 1.96/2.17 (step @p352 :rule process_scope :premises (@p475) :args (@t210)) % 1.96/2.17 (step @p358 :rule and_intro :premises (@p326 @p188 @p464 @p463 @p187)) % 1.96/2.17 (step @p359 :rule modus_ponens :premises (@p358 @p352)) % 1.96/2.17 (step-pop @p476 :rule scope :premises (@p359)) % 1.96/2.17 (step-pop @p477 :rule scope :premises (@p476)) % 1.96/2.17 (step-pop @p478 :rule scope :premises (@p477)) % 1.96/2.17 (step-pop @p479 :rule scope :premises (@p478)) % 1.96/2.17 (step-pop @p480 :rule scope :premises (@p479)) % 1.96/2.17 (step @p360 :rule process_scope :premises (@p480) :args (@t210)) % 1.96/2.17 (step @p366 :rule implies_elim :premises (@p360)) % 1.96/2.17 (step @p367 :rule cnf_and_neg :args (@t212)) % 1.96/2.17 (step @p368 :rule resolution :premises (@p367 @p366) :args (true @t212)) % 1.96/2.17 (step @p369 :rule eq_resolve :premises (@p368 @p333)) % 1.96/2.17 (step @p370 :rule reordering :premises (@p369) :args ((or @t155 @t211 @t191 @t171 @t210 @t206))) % 1.96/2.17 (step @p371 :rule chain_m_resolution :premises (@p370 @p326 @p188 @p187 @p303 @p302 @p300 @p183 @p299 @p297 @p189 @p185 @p290 @p261 @p205 @p188 @p222 @p205) :args (@t171 (@list true false false false false false false false false false false false false false false false false) (@list @t206 @t147 @t146 @t157 @t166 @t197 @t144 @t154 @t193 @t148 @t145 @t189 @t183 @t168 @t147 @t169 @t168))) % 1.96/2.17 (step @p372 :rule refl :args (@t213)) % 1.96/2.17 (step @p373 :rule bool-double-not-elim :args (@t156)) % 1.96/2.17 (step @p374 :rule nary_cong :premises (@p332 @p373 @p372) :args ((or @t211 (not @t171) @t213))) % 1.96/2.17 (assume-push @p481 @t146) % 1.96/2.17 (assume-push @p482 @t171) % 1.96/2.17 (assume-push @p483 @t171) % 1.96/2.17 (assume-push @p484 @t146) % 1.96/2.17 (step @p379 :rule false_intro :premises (@p482)) % 1.96/2.17 (step @p380 :rule refl :args (tptp.nil)) % 1.96/2.17 (step @p381 :rule cong :premises (@p380 @p187) :args (@t158)) % 1.96/2.17 (step @p382 :rule trans :premises (@p381 @p379)) % 1.96/2.17 (step @p383 :rule false_elim :premises (@p382)) % 1.96/2.17 (step-pop @p485 :rule scope :premises (@p383)) % 1.96/2.17 (step-pop @p486 :rule scope :premises (@p485)) % 1.96/2.17 (step @p384 :rule process_scope :premises (@p486) :args (@t213)) % 1.96/2.17 (step @p387 :rule and_intro :premises (@p482 @p187)) % 1.96/2.17 (step @p388 :rule modus_ponens :premises (@p387 @p384)) % 1.96/2.17 (step-pop @p487 :rule scope :premises (@p388)) % 1.96/2.17 (step-pop @p488 :rule scope :premises (@p487)) % 1.96/2.17 (step @p389 :rule process_scope :premises (@p488) :args (@t213)) % 1.96/2.17 (step @p392 :rule implies_elim :premises (@p389)) % 1.96/2.17 (step @p393 :rule cnf_and_neg :args (@t214)) % 1.96/2.17 (step @p394 :rule resolution :premises (@p393 @p392) :args (true @t214)) % 1.96/2.17 (step @p395 :rule eq_resolve :premises (@p394 @p374)) % 1.96/2.17 (step @p396 :rule reordering :premises (@p395) :args ((or @t156 @t211 @t213))) % 1.96/2.17 (step @p397 :rule chain_m_resolution :premises (@p396 @p371 @p187) :args (@t213 @t215 (@list @t156 @t146))) % 1.96/2.17 (step @p398 :rule quant-miniscope-or :args ((= (forall @t164 @t218) (or @t158 @t217)))) % 1.96/2.17 (step @p399 :rule aci_norm :args ((= @t163 @t218))) % 1.96/2.17 (step @p400 :rule cong :premises (@p399) :args (@t165)) % 1.96/2.17 (step @p401 :rule trans :premises (@p400 @p398)) % 1.96/2.17 (step @p402 :rule eq_resolve :premises (@p195 @p401)) % 1.96/2.17 (step @p403 :rule chain_m_resolution :premises (@p402 @p397) :args (@t217 @t219 (@list @t158))) % 1.96/2.17 (assume-push @p489 @t217) % 1.96/2.17 (step @p405 :rule instantiate :premises (@p489) :args ((@list tptp.sk3))) % 1.96/2.17 (step-pop @p490 :rule scope :premises (@p405)) % 1.96/2.17 (step @p406 :rule process_scope :premises (@p490) :args (@t226)) % 1.96/2.17 (step @p408 :rule implies_elim :premises (@p406)) % 1.96/2.17 (step @p409 :rule chain_m_resolution :premises (@p408 @p403) :args (@t226 (@list false) (@list @t217))) % 1.96/2.17 (step @p410 :rule instantiate :premises (@p61) :args (@t194)) % 1.96/2.17 (step @p411 :rule cnf_or_pos :args (@t228)) % 1.96/2.17 (step @p412 :rule reordering :premises (@p411) :args ((or @t195 @t227 (not @t228)))) % 1.96/2.17 (step @p413 :rule chain_m_resolution :premises (@p412 @p183 @p410) :args (@t227 @t209 (@list @t144 @t228))) % 1.96/2.17 (step @p414 :rule true_intro :premises (@p413)) % 1.96/2.17 (step @p345 :rule symm :premises (@p188)) % 1.96/2.17 (step @p415 :rule refl :args (tptp.sk1)) % 1.96/2.17 (step @p416 :rule cong :premises (@p415 @p345) :args (@t220)) % 1.96/2.17 (step @p417 :rule trans :premises (@p416 @p414)) % 1.96/2.17 (step @p418 :rule true_elim :premises (@p417)) % 1.96/2.17 (step @p270 :rule true_intro :premises (@p261)) % 1.96/2.17 (step @p419 :rule refl :args (tptp.sk3)) % 1.96/2.17 (step @p420 :rule trans :premises (@p187 @p205)) % 1.96/2.17 (step @p421 :rule cong :premises (@p420 @p419) :args (@t222)) % 1.96/2.17 (step @p422 :rule trans :premises (@p421 @p270)) % 1.96/2.17 (step @p423 :rule true_elim :premises (@p422)) % 1.96/2.17 (step @p424 :rule cnf_or_pos :args (@t226)) % 1.96/2.17 (step @p425 :rule reordering :premises (@p424) :args ((or @t185 @t225 @t223 @t221 (not @t226)))) % 1.96/2.17 (step @p426 :rule chain_m_resolution :premises (@p425 @p185 @p423 @p418 @p409) :args (@t225 @t188 (@list @t145 @t222 @t220 @t226))) % 1.96/2.17 (step @p427 :rule chain_m_resolution :premises (@p193 @p371) :args (@t155 @t219 (@list @t156))) % 1.96/2.17 (step @p428 :rule cnf_or_pos :args (@t230)) % 1.96/2.17 (step @p429 :rule reordering :premises (@p428) :args ((or @t154 @t229 @t185 @t224 @t231))) % 1.96/2.17 (step @p430 :rule chain_m_resolution :premises (@p429 @p427 @p8 @p185 @p426) :args (@t231 (@list true false false true) (@list @t154 @t1 @t145 @t224))) % 1.96/2.17 (assume-push @p491 @t232) % 1.96/2.17 (step @p432 :rule instantiate :premises (@p204) :args ((@list tptp.nil tptp.sk3))) % 1.96/2.17 (step-pop @p492 :rule scope :premises (@p432)) % 1.96/2.17 (step @p433 :rule process_scope :premises (@p492) :args (@t230)) % 1.96/2.17 (step @p435 :rule implies_elim :premises (@p433)) % 1.96/2.17 (step @p436 false :rule chain_m_resolution :premises (@p435 @p430 @p204) :args (false @t215 (@list @t230 @t232))) % 1.96/2.17 ) % 1.96/2.18 % SZS output end Proof % 1.96/2.18 % cvc5 exiting %------------------------------------------------------------------------------