%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC175-1 : 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 : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:20 AM UTC 2026 % Result : Unsatisfiable 2.72s 2.91s % Output : Proof 2.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC175-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.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 19:22:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.72/2.91 % SZS status Unsatisfiable % 2.72/2.91 % SZS output start Proof % 2.72/2.92 ( % 2.72/2.92 (declare-sort $$unsorted 0) % 2.72/2.92 (declare-const tptp.sk9 $$unsorted) % 2.72/2.92 (declare-const tptp.sk5 $$unsorted) % 2.72/2.92 (declare-const tptp.sk4 $$unsorted) % 2.72/2.92 (declare-const tptp.sk2 $$unsorted) % 2.72/2.92 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.sk6 $$unsorted) % 2.72/2.92 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.sk7 $$unsorted) % 2.72/2.92 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.nil $$unsorted) % 2.72/2.92 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.sk1 $$unsorted) % 2.72/2.92 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.skac2 $$unsorted) % 2.72/2.92 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.sk3 $$unsorted) % 2.72/2.92 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.ssList (-> $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skac3 $$unsorted) % 2.72/2.92 (declare-const tptp.sk8 $$unsorted) % 2.72/2.92 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 2.72/2.92 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 2.72/2.92 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 2.72/2.92 (define @t1 () (tptp.ssList tptp.nil)) % 2.72/2.92 (define @t2 () (@var "U" $$unsorted)) % 2.72/2.92 (define @t3 () (tptp.skaf83 @t2)) % 2.72/2.92 (define @t4 () (@list @t2)) % 2.72/2.92 (define @t5 () (tptp.skaf82 @t2)) % 2.72/2.92 (define @t6 () (tptp.skaf81 @t2)) % 2.72/2.92 (define @t7 () (tptp.skaf80 @t2)) % 2.72/2.92 (define @t8 () (tptp.skaf79 @t2)) % 2.72/2.92 (define @t9 () (tptp.skaf78 @t2)) % 2.72/2.92 (define @t10 () (tptp.skaf77 @t2)) % 2.72/2.92 (define @t11 () (tptp.skaf76 @t2)) % 2.72/2.92 (define @t12 () (tptp.skaf75 @t2)) % 2.72/2.92 (define @t13 () (tptp.skaf74 @t2)) % 2.72/2.92 (define @t14 () (tptp.skaf73 @t2)) % 2.72/2.92 (define @t15 () (tptp.skaf72 @t2)) % 2.72/2.92 (define @t16 () (tptp.skaf71 @t2)) % 2.72/2.92 (define @t17 () (tptp.skaf70 @t2)) % 2.72/2.92 (define @t18 () (tptp.skaf69 @t2)) % 2.72/2.92 (define @t19 () (tptp.skaf68 @t2)) % 2.72/2.92 (define @t20 () (tptp.skaf67 @t2)) % 2.72/2.92 (define @t21 () (tptp.skaf66 @t2)) % 2.72/2.92 (define @t22 () (tptp.skaf65 @t2)) % 2.72/2.92 (define @t23 () (tptp.skaf64 @t2)) % 2.72/2.92 (define @t24 () (tptp.skaf63 @t2)) % 2.72/2.92 (define @t25 () (tptp.skaf62 @t2)) % 2.72/2.92 (define @t26 () (tptp.skaf61 @t2)) % 2.72/2.92 (define @t27 () (tptp.skaf60 @t2)) % 2.72/2.92 (define @t28 () (tptp.skaf59 @t2)) % 2.72/2.92 (define @t29 () (tptp.skaf58 @t2)) % 2.72/2.92 (define @t30 () (tptp.skaf57 @t2)) % 2.72/2.92 (define @t31 () (tptp.skaf56 @t2)) % 2.72/2.92 (define @t32 () (tptp.skaf55 @t2)) % 2.72/2.92 (define @t33 () (tptp.skaf54 @t2)) % 2.72/2.92 (define @t34 () (tptp.skaf53 @t2)) % 2.72/2.92 (define @t35 () (tptp.skaf52 @t2)) % 2.72/2.92 (define @t36 () (tptp.skaf51 @t2)) % 2.72/2.92 (define @t37 () (tptp.skaf50 @t2)) % 2.72/2.92 (define @t38 () (tptp.skaf49 @t2)) % 2.72/2.92 (define @t39 () (tptp.skaf44 @t2)) % 2.72/2.92 (define @t40 () (@var "V" $$unsorted)) % 2.72/2.92 (define @t41 () (@list @t2 @t40)) % 2.72/2.92 (define @t42 () (tptp.skaf47 @t2 @t40)) % 2.72/2.92 (define @t43 () (tptp.skaf46 @t2 @t40)) % 2.72/2.92 (define @t44 () (tptp.skaf45 @t2 @t40)) % 2.72/2.92 (define @t45 () (tptp.skaf42 @t2 @t40)) % 2.72/2.92 (define @t46 () (not (tptp.ssItem @t2))) % 2.72/2.92 (define @t47 () (not (tptp.ssList @t2))) % 2.72/2.92 (define @t48 () (tptp.cons @t2 tptp.nil)) % 2.72/2.92 (define @t49 () (tptp.ssItem @t40)) % 2.72/2.92 (define @t50 () (tptp.duplicatefreeP @t2)) % 2.72/2.92 (define @t51 () (tptp.app tptp.nil @t2)) % 2.72/2.92 (define @t52 () (or @t47 (= @t51 @t2))) % 2.72/2.92 (define @t53 () (forall @t4 @t52)) % 2.72/2.92 (define @t54 () (= tptp.nil @t2)) % 2.72/2.92 (define @t55 () (tptp.tl @t2)) % 2.72/2.92 (define @t56 () (tptp.hd @t2)) % 2.72/2.92 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 2.72/2.92 (define @t58 () (not @t54)) % 2.72/2.92 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 2.72/2.92 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 2.72/2.92 (define @t61 () (tptp.app @t40 @t2)) % 2.72/2.92 (define @t62 () (not (tptp.ssList @t40))) % 2.72/2.92 (define @t63 () (tptp.cons @t2 @t40)) % 2.72/2.92 (define @t64 () (tptp.cyclefreeP @t2)) % 2.72/2.92 (define @t65 () (tptp.equalelemsP @t2)) % 2.72/2.92 (define @t66 () (tptp.strictorderedP @t2)) % 2.72/2.92 (define @t67 () (tptp.totalorderedP @t2)) % 2.72/2.92 (define @t68 () (tptp.strictorderP @t2)) % 2.72/2.92 (define @t69 () (tptp.totalorderP @t2)) % 2.72/2.92 (define @t70 () (= @t40 @t2)) % 2.72/2.92 (define @t71 () (tptp.neq @t40 @t2)) % 2.72/2.92 (define @t72 () (not @t49)) % 2.72/2.92 (define @t73 () (or @t46 @t72 @t71 @t70)) % 2.72/2.92 (define @t74 () (forall @t41 @t73)) % 2.72/2.92 (define @t75 () (tptp.leq @t2 @t40)) % 2.72/2.92 (define @t76 () (tptp.lt @t2 @t40)) % 2.72/2.92 (define @t77 () (not @t76)) % 2.72/2.92 (define @t78 () (tptp.lt @t40 @t2)) % 2.72/2.92 (define @t79 () (not (tptp.gt @t2 @t40))) % 2.72/2.92 (define @t80 () (tptp.gt @t40 @t2)) % 2.72/2.92 (define @t81 () (tptp.leq @t40 @t2)) % 2.72/2.92 (define @t82 () (not (tptp.geq @t2 @t40))) % 2.72/2.92 (define @t83 () (tptp.geq @t40 @t2)) % 2.72/2.92 (define @t84 () (not @t75)) % 2.72/2.92 (define @t85 () (= @t2 @t40)) % 2.72/2.92 (define @t86 () (not @t85)) % 2.72/2.92 (define @t87 () (tptp.cons @t40 @t2)) % 2.72/2.92 (define @t88 () (not (tptp.neq @t2 @t40))) % 2.72/2.92 (define @t89 () (tptp.app @t2 @t40)) % 2.72/2.92 (define @t90 () (= @t89 tptp.nil)) % 2.72/2.92 (define @t91 () (not @t90)) % 2.72/2.92 (define @t92 () (= tptp.nil @t40)) % 2.72/2.92 (define @t93 () (tptp.app @t48 @t40)) % 2.72/2.92 (define @t94 () (or @t46 @t62 (= @t93 @t63))) % 2.72/2.92 (define @t95 () (forall @t41 @t94)) % 2.72/2.92 (define @t96 () (tptp.hd @t40)) % 2.72/2.92 (define @t97 () (tptp.strictorderedP @t40)) % 2.72/2.92 (define @t98 () (tptp.strictorderedP @t63)) % 2.72/2.92 (define @t99 () (not @t98)) % 2.72/2.92 (define @t100 () (tptp.totalorderedP @t40)) % 2.72/2.92 (define @t101 () (tptp.totalorderedP @t63)) % 2.72/2.92 (define @t102 () (not @t101)) % 2.72/2.92 (define @t103 () (not (tptp.segmentP @t2 @t40))) % 2.72/2.92 (define @t104 () (not (tptp.rearsegP @t2 @t40))) % 2.72/2.92 (define @t105 () (not (tptp.frontsegP @t2 @t40))) % 2.72/2.92 (define @t106 () (not @t81)) % 2.72/2.92 (define @t107 () (tptp.tl @t40)) % 2.72/2.92 (define @t108 () (tptp.lt @t2 @t96)) % 2.72/2.92 (define @t109 () (tptp.leq @t2 @t96)) % 2.72/2.92 (define @t110 () (@var "W" $$unsorted)) % 2.72/2.92 (define @t111 () (tptp.app @t110 @t2)) % 2.72/2.92 (define @t112 () (not (tptp.ssList @t110))) % 2.72/2.92 (define @t113 () (@list @t2 @t40 @t110)) % 2.72/2.92 (define @t114 () (tptp.app @t2 @t110)) % 2.72/2.92 (define @t115 () (tptp.cons @t40 @t110)) % 2.72/2.92 (define @t116 () (tptp.cons @t110 @t2)) % 2.72/2.92 (define @t117 () (not (tptp.ssItem @t110))) % 2.72/2.92 (define @t118 () (not (tptp.memberP @t2 @t40))) % 2.72/2.92 (define @t119 () (not (= @t89 @t110))) % 2.72/2.92 (define @t120 () (tptp.lt @t2 @t110)) % 2.72/2.92 (define @t121 () (not (tptp.lt @t40 @t110))) % 2.72/2.92 (define @t122 () (tptp.app @t110 @t40)) % 2.72/2.92 (define @t123 () (= @t40 @t110)) % 2.72/2.92 (define @t124 () (= @t2 @t110)) % 2.72/2.92 (define @t125 () (tptp.memberP @t40 @t110)) % 2.72/2.92 (define @t126 () (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2)))) % 2.72/2.92 (define @t127 () (or @t118 @t72 @t47 (= @t126 @t2))) % 2.72/2.92 (define @t128 () (forall @t41 @t127)) % 2.72/2.92 (define @t129 () (@var "X" $$unsorted)) % 2.72/2.92 (define @t130 () (not (tptp.ssList @t129))) % 2.72/2.92 (define @t131 () (tptp.cons @t110 @t129)) % 2.72/2.92 (define @t132 () (not (= @t63 @t131))) % 2.72/2.92 (define @t133 () (@list @t2 @t40 @t110 @t129)) % 2.72/2.92 (define @t134 () (not (tptp.frontsegP @t63 @t131))) % 2.72/2.92 (define @t135 () (tptp.memberP @t129 @t40)) % 2.72/2.92 (define @t136 () (tptp.app @t2 @t115)) % 2.72/2.92 (define @t137 () (not (= @t136 @t129))) % 2.72/2.92 (define @t138 () (or @t137 @t112 @t47 @t72 @t130 @t135)) % 2.72/2.92 (define @t139 () (forall @t133 @t138)) % 2.72/2.92 (define @t140 () (not (tptp.ssItem @t129))) % 2.72/2.92 (define @t141 () (@var "Y" $$unsorted)) % 2.72/2.92 (define @t142 () (not (tptp.ssList @t141))) % 2.72/2.92 (define @t143 () (@list @t2 @t40 @t110 @t129 @t141)) % 2.72/2.92 (define @t144 () (tptp.lt @t40 @t129)) % 2.72/2.92 (define @t145 () (@var "Z" $$unsorted)) % 2.72/2.92 (define @t146 () (not (tptp.ssList @t145))) % 2.72/2.92 (define @t147 () (not (tptp.strictorderedP @t145))) % 2.72/2.92 (define @t148 () (tptp.app @t136 (tptp.cons @t129 @t141))) % 2.72/2.92 (define @t149 () (not (= @t148 @t145))) % 2.72/2.92 (define @t150 () (or @t149 @t142 @t112 @t47 @t140 @t72 @t147 @t146 @t144)) % 2.72/2.92 (define @t151 () (@list @t2 @t40 @t110 @t129 @t141 @t145)) % 2.72/2.92 (define @t152 () (forall @t151 @t150)) % 2.72/2.92 (define @t153 () (tptp.leq @t40 @t129)) % 2.72/2.92 (define @t154 () (@var "A" $$unsorted)) % 2.72/2.92 (define @t155 () (@var "C" $$unsorted)) % 2.72/2.92 (define @t156 () (@var "D" $$unsorted)) % 2.72/2.92 (define @t157 () (@var "B" $$unsorted)) % 2.72/2.92 (define @t158 () (tptp.ssItem tptp.sk6)) % 2.72/2.92 (define @t159 () (tptp.ssItem tptp.sk7)) % 2.72/2.92 (define @t160 () (tptp.ssList tptp.sk8)) % 2.72/2.92 (define @t161 () (tptp.ssList tptp.sk9)) % 2.72/2.92 (define @t162 () (tptp.cons tptp.sk7 tptp.nil)) % 2.72/2.92 (define @t163 () (tptp.cons tptp.sk6 tptp.nil)) % 2.72/2.92 (define @t164 () (tptp.app tptp.sk8 @t163)) % 2.72/2.92 (define @t165 () (tptp.app (tptp.app @t164 @t162) tptp.sk9)) % 2.72/2.92 (define @t166 () (tptp.neq tptp.sk6 tptp.sk7)) % 2.72/2.92 (define @t167 () (not @t158)) % 2.72/2.92 (define @t168 () (not (tptp.lt tptp.sk6 tptp.sk6))) % 2.72/2.92 (define @t169 () (or @t168 @t167)) % 2.72/2.92 (define @t170 () (@list false false)) % 2.72/2.92 (define @t171 () (not @t159)) % 2.72/2.92 (define @t172 () (or @t171 @t167 @t166 (= tptp.sk7 tptp.sk6))) % 2.72/2.92 (define @t173 () (forall @t41 (or @t46 @t72 @t71 @t85))) % 2.72/2.92 (define @t174 () (= tptp.sk6 tptp.sk7)) % 2.72/2.92 (define @t175 () (or @t171 @t167 @t166 @t174)) % 2.72/2.92 (define @t176 () (@list false)) % 2.72/2.92 (define @t177 () (tptp.lt tptp.sk6 tptp.sk7)) % 2.72/2.92 (define @t178 () (tptp.app tptp.nil tptp.sk9)) % 2.72/2.92 (define @t179 () (= tptp.sk9 @t178)) % 2.72/2.92 (define @t180 () (not @t161)) % 2.72/2.92 (define @t181 () (or @t180 @t179)) % 2.72/2.92 (define @t182 () (tptp.ssList @t178)) % 2.72/2.92 (define @t183 () (@list @t164 tptp.sk6)) % 2.72/2.92 (define @t184 () (not (tptp.ssList @t148))) % 2.72/2.92 (define @t185 () (not (tptp.strictorderedP @t148))) % 2.72/2.92 (define @t186 () (not (= @t148 @t148))) % 2.72/2.92 (define @t187 () (or @t186 @t142 @t112 @t47 @t140 @t72 @t185 @t184 @t144)) % 2.72/2.92 (define @t188 () (not (= @t145 @t148))) % 2.72/2.92 (define @t189 () (or @t188 @t188 @t142 @t112 @t47 @t140 @t72 @t147 @t146 @t144)) % 2.72/2.92 (define @t190 () (@list @t145)) % 2.72/2.92 (define @t191 () (or @t188 @t142 @t112 @t47 @t140 @t72 @t147 @t146 @t144)) % 2.72/2.92 (define @t192 () (forall @t190 @t191)) % 2.72/2.92 (define @t193 () (forall @t143 @t192)) % 2.72/2.92 (define @t194 () (tptp.skaf43 tptp.sk6 @t164)) % 2.72/2.92 (define @t195 () (tptp.skaf42 @t164 tptp.sk6)) % 2.72/2.92 (define @t196 () (tptp.ssList @t163)) % 2.72/2.92 (define @t197 () (not @t1)) % 2.72/2.92 (define @t198 () (or @t167 @t197 @t196)) % 2.72/2.92 (define @t199 () (@list false false false)) % 2.72/2.92 (define @t200 () (tptp.ssList @t164)) % 2.72/2.92 (define @t201 () (not @t160)) % 2.72/2.92 (define @t202 () (not @t196)) % 2.72/2.92 (define @t203 () (or @t202 @t201 @t200)) % 2.72/2.92 (define @t204 () (tptp.ssList @t162)) % 2.72/2.92 (define @t205 () (or @t171 @t197 @t204)) % 2.72/2.92 (define @t206 () (tptp.app @t162 tptp.sk9)) % 2.72/2.92 (define @t207 () (= @t165 (tptp.app @t164 @t206))) % 2.72/2.92 (define @t208 () (not @t200)) % 2.72/2.92 (define @t209 () (not @t204)) % 2.72/2.92 (define @t210 () (or @t180 @t209 @t208 @t207)) % 2.72/2.92 (define @t211 () (@list false false false false)) % 2.72/2.92 (define @t212 () (tptp.cons tptp.sk7 tptp.sk9)) % 2.72/2.92 (define @t213 () (or @t171 @t180 (= @t212 @t206))) % 2.72/2.92 (define @t214 () (forall @t41 (or @t46 @t62 (= @t63 @t93)))) % 2.72/2.92 (define @t215 () (= @t206 @t212)) % 2.72/2.92 (define @t216 () (or @t171 @t180 @t215)) % 2.72/2.92 (define @t217 () (tptp.cons tptp.sk7 @t178)) % 2.72/2.92 (define @t218 () (tptp.memberP @t136 @t40)) % 2.72/2.92 (define @t219 () (not (tptp.ssList @t136))) % 2.72/2.92 (define @t220 () (not (= @t136 @t136))) % 2.72/2.92 (define @t221 () (or @t220 @t112 @t47 @t72 @t219 @t218)) % 2.72/2.92 (define @t222 () (not (= @t129 @t136))) % 2.72/2.92 (define @t223 () (or @t222 @t222 @t112 @t47 @t72 @t130 @t135)) % 2.72/2.92 (define @t224 () (@list @t129)) % 2.72/2.92 (define @t225 () (or @t222 @t112 @t47 @t72 @t130 @t135)) % 2.72/2.92 (define @t226 () (forall @t224 @t225)) % 2.72/2.92 (define @t227 () (forall @t113 @t226)) % 2.72/2.92 (define @t228 () (tptp.memberP @t164 tptp.sk6)) % 2.72/2.92 (define @t229 () (or @t197 @t201 @t167 @t208 @t228)) % 2.72/2.92 (define @t230 () (tptp.app @t195 (tptp.cons tptp.sk6 @t194))) % 2.72/2.92 (define @t231 () (= @t164 @t230)) % 2.72/2.92 (define @t232 () (not @t228)) % 2.72/2.92 (define @t233 () (or @t232 @t167 @t208 @t231)) % 2.72/2.92 (define @t234 () (tptp.app @t230 @t217)) % 2.72/2.92 (define @t235 () (tptp.ssList @t234)) % 2.72/2.92 (define @t236 () (tptp.strictorderedP @t234)) % 2.72/2.92 (define @t237 () (not @t235)) % 2.72/2.92 (define @t238 () (not @t236)) % 2.72/2.92 (define @t239 () (tptp.ssList @t195)) % 2.72/2.92 (define @t240 () (not @t239)) % 2.72/2.92 (define @t241 () (tptp.ssList @t194)) % 2.72/2.92 (define @t242 () (not @t241)) % 2.72/2.92 (define @t243 () (not @t182)) % 2.72/2.92 (define @t244 () (or @t243 @t242 @t240 @t171 @t167 @t238 @t237 @t177)) % 2.72/2.92 (assume @p1 (tptp.equalelemsP tptp.nil)) % 2.72/2.92 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 2.72/2.92 (assume @p3 (tptp.strictorderedP tptp.nil)) % 2.72/2.92 (assume @p4 (tptp.totalorderedP tptp.nil)) % 2.72/2.92 (assume @p5 (tptp.strictorderP tptp.nil)) % 2.72/2.92 (assume @p6 (tptp.totalorderP tptp.nil)) % 2.72/2.92 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 2.72/2.92 (assume @p8 @t1) % 2.72/2.92 (assume @p9 (tptp.ssItem tptp.skac3)) % 2.72/2.92 (assume @p10 (tptp.ssItem tptp.skac2)) % 2.72/2.92 (assume @p11 (not (tptp.singletonP tptp.nil))) % 2.72/2.92 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 2.72/2.92 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 2.72/2.92 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 2.72/2.92 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 2.72/2.92 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 2.72/2.92 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 2.72/2.92 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 2.72/2.92 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 2.72/2.92 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 2.72/2.92 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 2.72/2.92 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 2.72/2.92 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 2.72/2.92 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 2.72/2.92 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 2.72/2.92 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 2.72/2.92 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 2.72/2.92 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 2.72/2.92 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 2.72/2.92 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 2.72/2.92 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 2.72/2.92 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 2.72/2.92 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 2.72/2.92 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 2.72/2.92 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 2.72/2.92 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 2.72/2.92 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 2.72/2.92 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 2.72/2.92 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 2.72/2.92 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 2.72/2.92 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 2.72/2.92 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 2.72/2.92 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 2.72/2.92 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 2.72/2.92 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 2.72/2.92 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 2.72/2.92 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 2.72/2.92 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 2.72/2.92 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 2.72/2.92 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 2.72/2.92 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 2.72/2.92 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 2.72/2.92 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 2.72/2.92 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 2.72/2.92 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 2.72/2.92 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 2.72/2.92 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 2.72/2.92 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 2.72/2.92 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 2.72/2.92 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 2.72/2.92 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 2.72/2.92 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 2.72/2.92 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 2.72/2.92 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 2.72/2.92 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 2.72/2.92 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 2.72/2.92 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 2.72/2.92 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 2.72/2.92 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 2.72/2.92 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 2.72/2.92 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 2.72/2.92 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 2.72/2.92 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 2.72/2.92 (assume @p74 @t53) % 2.72/2.92 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 2.72/2.92 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 2.72/2.92 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 2.72/2.92 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 2.72/2.92 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 2.72/2.92 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 2.72/2.92 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 2.72/2.92 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 2.72/2.92 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 2.72/2.92 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 2.72/2.92 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 2.72/2.92 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 2.72/2.92 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 2.72/2.92 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 2.72/2.92 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 2.72/2.92 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 2.72/2.92 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 2.72/2.92 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 2.72/2.92 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 2.72/2.92 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 2.72/2.92 (assume @p95 (forall @t41 (or @t46 @t62 (= (tptp.hd @t63) @t2)))) % 2.72/2.92 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 2.72/2.92 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 2.72/2.92 (assume @p98 (forall @t41 (or @t47 @t62 @t71 @t70))) % 2.72/2.92 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 2.72/2.92 (assume @p100 @t74) % 2.72/2.92 (assume @p101 (forall @t41 (or @t77 @t72 @t46 @t75))) % 2.72/2.92 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 2.72/2.92 (assume @p103 (forall @t41 (or @t79 @t72 @t46 @t78))) % 2.72/2.92 (assume @p104 (forall @t41 (or @t77 @t46 @t72 @t80))) % 2.72/2.92 (assume @p105 (forall @t41 (or @t82 @t72 @t46 @t81))) % 2.72/2.92 (assume @p106 (forall @t41 (or @t84 @t46 @t72 @t83))) % 2.72/2.92 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 2.72/2.92 (assume @p108 (forall @t41 (or @t79 (not @t80) @t46 @t72))) % 2.72/2.92 (assume @p109 (forall @t41 (or @t86 @t77 @t72 @t46))) % 2.72/2.92 (assume @p110 (forall @t41 (or @t58 @t47 @t72 (tptp.strictorderedP @t87)))) % 2.72/2.92 (assume @p111 (forall @t41 (or @t58 @t47 @t72 (tptp.totalorderedP @t87)))) % 2.72/2.92 (assume @p112 (forall @t41 (or @t77 (not @t78) @t46 @t72))) % 2.72/2.92 (assume @p113 (forall @t41 (or @t86 @t88 @t62 @t47))) % 2.72/2.92 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 2.72/2.92 (assume @p115 (forall @t41 (or @t86 @t88 @t72 @t46))) % 2.72/2.92 (assume @p116 (forall @t41 (or @t91 @t62 @t47 @t54))) % 2.72/2.92 (assume @p117 (forall @t41 (or @t91 @t62 @t47 @t92))) % 2.72/2.92 (assume @p118 @t95) % 2.72/2.92 (assume @p119 (forall @t41 (or @t84 @t72 @t46 @t76 @t85))) % 2.72/2.92 (assume @p120 (forall @t41 (or @t47 @t62 @t92 (= (tptp.hd @t61) @t96)))) % 2.72/2.92 (assume @p121 (forall @t41 (or @t99 @t62 @t46 @t97 @t92))) % 2.72/2.92 (assume @p122 (forall @t41 (or @t102 @t62 @t46 @t100 @t92))) % 2.72/2.92 (assume @p123 (forall @t41 (or @t82 (not @t83) @t46 @t72 @t70))) % 2.72/2.92 (assume @p124 (forall @t41 (or @t103 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t70))) % 2.72/2.92 (assume @p125 (forall @t41 (or @t104 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t70))) % 2.72/2.92 (assume @p126 (forall @t41 (or @t105 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t70))) % 2.72/2.92 (assume @p127 (forall @t41 (or @t84 @t106 @t46 @t72 @t70))) % 2.72/2.92 (assume @p128 (forall @t41 (or @t104 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 2.72/2.92 (assume @p129 (forall @t41 (or @t105 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 2.72/2.92 (assume @p130 (forall @t41 (or @t47 @t62 @t92 (= (tptp.tl @t61) (tptp.app @t107 @t2))))) % 2.72/2.92 (assume @p131 (forall @t41 (or @t99 @t62 @t46 @t108 @t92))) % 2.72/2.92 (assume @p132 (forall @t41 (or @t102 @t62 @t46 @t109 @t92))) % 2.72/2.92 (assume @p133 (forall @t113 (or @t104 @t112 @t62 @t47 (tptp.rearsegP @t111 @t40)))) % 2.72/2.92 (assume @p134 (forall @t113 (or @t105 @t112 @t62 @t47 (tptp.frontsegP @t114 @t40)))) % 2.72/2.92 (assume @p135 (forall @t113 (or @t86 @t112 @t72 @t46 (tptp.memberP @t115 @t2)))) % 2.72/2.92 (assume @p136 (forall @t113 (or @t118 @t47 @t117 @t72 (tptp.memberP @t116 @t40)))) % 2.72/2.92 (assume @p137 (forall @t113 (or @t118 @t112 @t47 @t72 (tptp.memberP @t114 @t40)))) % 2.72/2.92 (assume @p138 (forall @t113 (or @t118 @t47 @t112 @t72 (tptp.memberP @t111 @t40)))) % 2.72/2.92 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 2.72/2.92 (assume @p140 (forall @t113 (or @t119 @t47 @t62 @t112 (tptp.rearsegP @t110 @t40)))) % 2.72/2.92 (assume @p141 (forall @t113 (or @t119 @t62 @t47 @t112 (tptp.frontsegP @t110 @t2)))) % 2.72/2.92 (assume @p142 (forall @t41 (or @t58 (not @t92) @t62 @t47 @t90))) % 2.72/2.92 (assume @p143 (forall @t113 (or @t79 (not (tptp.gt @t40 @t110)) @t117 @t72 @t46 (tptp.gt @t2 @t110)))) % 2.72/2.92 (assume @p144 (forall @t113 (or @t84 @t121 @t117 @t72 @t46 @t120))) % 2.72/2.92 (assume @p145 (forall @t113 (or @t82 (not (tptp.geq @t40 @t110)) @t117 @t72 @t46 (tptp.geq @t2 @t110)))) % 2.72/2.92 (assume @p146 (forall @t113 (or @t47 @t62 @t112 (= (tptp.app @t122 @t2) (tptp.app @t110 @t61))))) % 2.72/2.92 (assume @p147 (forall @t113 (or (not (= @t89 @t114)) @t62 @t47 @t112 @t123))) % 2.72/2.92 (assume @p148 (forall @t113 (or (not (= @t89 @t122)) @t47 @t62 @t112 @t124))) % 2.72/2.92 (assume @p149 (forall @t113 (or @t103 (not (tptp.segmentP @t40 @t110)) @t112 @t62 @t47 (tptp.segmentP @t2 @t110)))) % 2.72/2.92 (assume @p150 (forall @t113 (or @t104 (not (tptp.rearsegP @t40 @t110)) @t112 @t62 @t47 (tptp.rearsegP @t2 @t110)))) % 2.72/2.92 (assume @p151 (forall @t113 (or @t105 (not (tptp.frontsegP @t40 @t110)) @t112 @t62 @t47 (tptp.frontsegP @t2 @t110)))) % 2.72/2.92 (assume @p152 (forall @t113 (or @t77 @t121 @t117 @t72 @t46 @t120))) % 2.72/2.92 (assume @p153 (forall @t113 (or @t84 (not (tptp.leq @t40 @t110)) @t117 @t72 @t46 (tptp.leq @t2 @t110)))) % 2.72/2.92 (assume @p154 (forall @t113 (or @t46 @t62 @t112 (= (tptp.cons @t2 (tptp.app @t40 @t110)) (tptp.app @t63 @t110))))) % 2.72/2.92 (assume @p155 (forall @t113 (or (not (tptp.memberP @t89 @t110)) @t62 @t47 @t117 @t125 (tptp.memberP @t2 @t110)))) % 2.72/2.92 (assume @p156 (forall @t41 (or (not @t109) (not @t100) @t62 @t46 @t101 @t92))) % 2.72/2.92 (assume @p157 (forall @t41 (or (not @t108) (not @t97) @t62 @t46 @t98 @t92))) % 2.72/2.92 (assume @p158 (forall @t113 (or (not (tptp.memberP @t63 @t110)) @t62 @t46 @t117 @t125 (= @t110 @t2)))) % 2.72/2.92 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 2.72/2.92 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 2.72/2.92 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 2.72/2.92 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 2.72/2.92 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 2.72/2.92 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 2.72/2.92 (assume @p165 (forall @t41 (or @t103 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 2.72/2.92 (assume @p166 @t128) % 2.72/2.92 (assume @p167 (forall @t133 (or @t132 @t117 @t46 @t130 @t62 @t124))) % 2.72/2.92 (assume @p168 (forall @t133 (or @t132 @t117 @t46 @t130 @t62 (= @t129 @t40)))) % 2.72/2.92 (assume @p169 (forall @t133 (or @t103 @t112 @t130 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t129 @t2) @t110) @t40)))) % 2.72/2.92 (assume @p170 (forall @t133 (or (not (= (tptp.app @t89 @t110) @t129)) @t112 @t47 @t62 @t130 (tptp.segmentP @t129 @t40)))) % 2.72/2.92 (assume @p171 (forall @t133 (or @t134 @t130 @t62 @t117 @t46 (tptp.frontsegP @t40 @t129)))) % 2.72/2.92 (assume @p172 @t139) % 2.72/2.92 (assume @p173 (forall @t133 (or @t134 @t130 @t62 @t117 @t46 @t124))) % 2.72/2.92 (assume @p174 (forall @t41 (or (not (= @t55 @t107)) (not (= @t56 @t96)) @t47 @t62 @t92 @t85 @t54))) % 2.72/2.92 (assume @p175 (forall @t133 (or @t105 (not (= @t110 @t129)) @t62 @t47 @t140 @t117 (tptp.frontsegP @t116 (tptp.cons @t129 @t40))))) % 2.72/2.92 (assume @p176 (forall @t143 (or (not (= (tptp.app @t136 (tptp.cons @t40 @t129)) @t141)) @t130 @t112 @t47 @t72 (not (tptp.duplicatefreeP @t141)) @t142))) % 2.72/2.92 (assume @p177 (forall @t143 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t131)) @t141)) @t130 @t47 @t117 @t72 (not (tptp.equalelemsP @t141)) @t142 @t123))) % 2.72/2.92 (assume @p178 @t152) % 2.72/2.92 (assume @p179 (forall @t151 (or @t149 @t142 @t112 @t47 @t140 @t72 (not (tptp.totalorderedP @t145)) @t146 @t153))) % 2.72/2.92 (assume @p180 (forall @t151 (or @t149 @t142 @t112 @t47 @t140 @t72 (not (tptp.strictorderP @t145)) @t146 @t144 (tptp.lt @t129 @t40)))) % 2.72/2.92 (assume @p181 (forall @t151 (or @t149 @t142 @t112 @t47 @t140 @t72 (not (tptp.totalorderP @t145)) @t146 @t153 (tptp.leq @t129 @t40)))) % 2.72/2.92 (assume @p182 (forall @t151 (or @t84 @t106 (not (= (tptp.app (tptp.app @t110 (tptp.cons @t2 @t129)) (tptp.cons @t40 @t141)) @t145)) @t142 @t130 @t112 @t72 @t46 (not (tptp.cyclefreeP @t145)) @t146))) % 2.72/2.92 (assume @p183 (tptp.ssList tptp.sk1)) % 2.72/2.92 (assume @p184 (tptp.ssList tptp.sk2)) % 2.72/2.92 (assume @p185 (tptp.ssList tptp.sk3)) % 2.72/2.92 (assume @p186 (tptp.ssList tptp.sk4)) % 2.72/2.92 (assume @p187 (= tptp.sk2 tptp.sk4)) % 2.72/2.92 (assume @p188 (= tptp.sk1 tptp.sk3)) % 2.72/2.92 (assume @p189 (tptp.ssList tptp.sk5)) % 2.72/2.92 (assume @p190 (= (tptp.app tptp.sk3 tptp.sk5) tptp.sk4)) % 2.72/2.92 (assume @p191 (tptp.strictorderedP tptp.sk3)) % 2.72/2.92 (assume @p192 (forall (@list @t154 @t157 @t155 @t156) (or (not (tptp.ssItem @t154)) (not (tptp.ssList @t157)) (not (= (tptp.app (tptp.cons @t154 tptp.nil) @t157) tptp.sk5)) (not (tptp.ssItem @t155)) (not (tptp.ssList @t156)) (not (= (tptp.app @t156 (tptp.cons @t155 tptp.nil)) tptp.sk3)) (not (tptp.lt @t155 @t154))))) % 2.72/2.92 (assume @p193 @t158) % 2.72/2.92 (assume @p194 @t159) % 2.72/2.92 (assume @p195 @t160) % 2.72/2.92 (assume @p196 @t161) % 2.72/2.92 (assume @p197 (= @t165 tptp.sk1)) % 2.72/2.92 (assume @p198 (not @t166)) % 2.72/2.92 (assume @p199 (or (= tptp.nil tptp.sk4) (not (= tptp.nil tptp.sk3)))) % 2.72/2.92 (step @p200 :rule instantiate :premises (@p63) :args ((@list tptp.sk6))) % 2.72/2.92 (step @p201 :rule cnf_or_pos :args (@t169)) % 2.72/2.92 (step @p202 :rule reordering :premises (@p201) :args ((or @t167 @t168 (not @t169)))) % 2.72/2.92 (step @p203 :rule chain_m_resolution :premises (@p202 @p193 @p200) :args (@t168 @t170 (@list @t158 @t169))) % 2.72/2.92 (step @p204 :rule false_intro :premises (@p203)) % 2.72/2.92 (step @p205 :rule eq-symm :args (@t40 @t2)) % 2.72/2.92 (step @p206 :rule refl :args (@t71)) % 2.72/2.92 (step @p207 :rule refl :args (@t72)) % 2.72/2.92 (step @p208 :rule refl :args (@t46)) % 2.72/2.92 (step @p209 :rule nary_cong :premises (@p208 @p207 @p206 @p205) :args (@t73)) % 2.72/2.92 (step @p210 :rule cong :premises (@p209) :args (@t74)) % 2.72/2.92 (step @p211 :rule eq_resolve :premises (@p100 @p210)) % 2.72/2.92 (step @p212 :rule eq-symm :args (tptp.sk7 tptp.sk6)) % 2.72/2.92 (step @p213 :rule refl :args (@t166)) % 2.72/2.92 (step @p214 :rule refl :args (@t167)) % 2.72/2.92 (step @p215 :rule refl :args (@t171)) % 2.72/2.92 (step @p216 :rule nary_cong :premises (@p215 @p214 @p213 @p212) :args (@t172)) % 2.72/2.92 (step @p217 :rule refl :args (@t173)) % 2.72/2.92 (step @p218 :rule cong :premises (@p217 @p216) :args ((=> @t173 @t172))) % 2.72/2.92 (assume-push @p377 @t173) % 2.72/2.92 (step @p220 :rule instantiate :premises (@p211) :args ((@list tptp.sk7 tptp.sk6))) % 2.72/2.92 (step-pop @p378 :rule scope :premises (@p220)) % 2.72/2.92 (step @p221 :rule process_scope :premises (@p378) :args (@t172)) % 2.72/2.92 (step @p223 :rule eq_resolve :premises (@p221 @p218)) % 2.72/2.92 (step @p224 :rule implies_elim :premises (@p223)) % 2.72/2.92 (step @p225 :rule chain_m_resolution :premises (@p224 @p211) :args (@t175 @t176 (@list @t173))) % 2.72/2.92 (step @p226 :rule cnf_or_pos :args (@t175)) % 2.72/2.92 (step @p227 :rule reordering :premises (@p226) :args ((or @t166 @t167 @t171 @t174 (not @t175)))) % 2.72/2.92 (step @p228 :rule chain_m_resolution :premises (@p227 @p198 @p193 @p194 @p225) :args (@t174 (@list true false false false) (@list @t166 @t158 @t159 @t175))) % 2.72/2.92 (step @p229 :rule symm :premises (@p228)) % 2.72/2.92 (step @p230 :rule refl :args (tptp.sk6)) % 2.72/2.92 (step @p231 :rule cong :premises (@p230 @p229) :args (@t177)) % 2.72/2.92 (step @p232 :rule trans :premises (@p231 @p204)) % 2.72/2.92 (step @p233 :rule false_elim :premises (@p232)) % 2.72/2.92 (step @p234 :rule true_intro :premises (@p196)) % 2.72/2.92 (step @p235 :rule eq-symm :args (@t51 @t2)) % 2.72/2.92 (step @p236 :rule refl :args (@t47)) % 2.72/2.92 (step @p237 :rule nary_cong :premises (@p236 @p235) :args (@t52)) % 2.72/2.92 (step @p238 :rule cong :premises (@p237) :args (@t53)) % 2.72/2.92 (step @p239 :rule eq_resolve :premises (@p74 @p238)) % 2.72/2.92 (step @p240 :rule instantiate :premises (@p239) :args ((@list tptp.sk9))) % 2.72/2.92 (step @p241 :rule cnf_or_pos :args (@t181)) % 2.72/2.92 (step @p242 :rule reordering :premises (@p241) :args ((or @t180 @t179 (not @t181)))) % 2.72/2.92 (step @p243 :rule chain_m_resolution :premises (@p242 @p196 @p240) :args (@t179 @t170 (@list @t161 @t181))) % 2.72/2.92 (step @p244 :rule symm :premises (@p243)) % 2.72/2.92 (step @p245 :rule cong :premises (@p244) :args (@t182)) % 2.72/2.92 (step @p246 :rule trans :premises (@p245 @p234)) % 2.72/2.92 (step @p247 :rule true_elim :premises (@p246)) % 2.72/2.92 (step @p248 :rule instantiate :premises (@p53) :args (@t183)) % 2.72/2.92 (step @p249 :rule instantiate :premises (@p52) :args ((@list tptp.sk6 @t164))) % 2.72/2.92 (step @p250 :rule aci_norm :args ((= (or false @t142 @t112 @t47 @t140 @t72 @t185 @t184 @t144) (or @t142 @t112 @t47 @t140 @t72 @t185 @t184 @t144)))) % 2.72/2.92 (step @p251 :rule refl :args (@t144)) % 2.72/2.92 (step @p252 :rule refl :args (@t184)) % 2.72/2.92 (step @p253 :rule refl :args (@t185)) % 2.72/2.92 (step @p254 :rule refl :args (@t140)) % 2.72/2.92 (step @p255 :rule refl :args (@t112)) % 2.72/2.92 (step @p256 :rule refl :args (@t142)) % 2.72/2.92 (step @p257 :rule evaluate :args ((not true))) % 2.72/2.92 (step @p258 :rule eq-refl :args (@t148)) % 2.72/2.92 (step @p259 :rule cong :premises (@p258) :args (@t186)) % 2.72/2.92 (step @p260 :rule trans :premises (@p259 @p257)) % 2.72/2.92 (step @p261 :rule nary_cong :premises (@p260 @p256 @p255 @p236 @p254 @p207 @p253 @p252 @p251) :args (@t187)) % 2.72/2.92 (step @p262 :rule trans :premises (@p261 @p250)) % 2.72/2.92 (step @p263 :rule cong :premises (@p262) :args ((forall @t143 @t187))) % 2.72/2.92 (step @p264 :rule quant-var-elim-eq :args ((= (forall @t190 @t189) @t187))) % 2.72/2.92 (step @p265 :rule aci_norm :args ((= @t191 @t189))) % 2.72/2.92 (step @p266 :rule cong :premises (@p265) :args (@t192)) % 2.72/2.92 (step @p267 :rule trans :premises (@p266 @p264)) % 2.72/2.92 (step @p268 :rule cong :premises (@p267) :args (@t193)) % 2.72/2.92 (step @p269 :rule quant-merge-prenex :args ((= @t193 (forall @t151 @t191)))) % 2.72/2.92 (step @p270 :rule symm :premises (@p269)) % 2.72/2.92 (step @p271 :rule trans :premises (@p270 @p268)) % 2.72/2.92 (step @p272 :rule trans :premises (@p271 @p263)) % 2.72/2.92 (step @p273 :rule refl :args (@t146)) % 2.72/2.92 (step @p274 :rule refl :args (@t147)) % 2.72/2.92 (step @p275 :rule eq-symm :args (@t148 @t145)) % 2.72/2.92 (step @p276 :rule cong :premises (@p275) :args (@t149)) % 2.72/2.92 (step @p277 :rule nary_cong :premises (@p276 @p256 @p255 @p236 @p254 @p207 @p274 @p273 @p251) :args (@t150)) % 2.72/2.92 (step @p278 :rule cong :premises (@p277) :args (@t152)) % 2.72/2.92 (step @p279 :rule trans :premises (@p278 @p272)) % 2.72/2.92 (step @p280 :rule eq_resolve :premises (@p178 @p279)) % 2.72/2.92 (step @p281 :rule instantiate :premises (@p280) :args ((@list @t195 tptp.sk6 @t194 tptp.sk7 @t178))) % 2.72/2.92 (step @p282 :rule true_intro :premises (@p183)) % 2.72/2.92 (step @p283 :rule instantiate :premises (@p146) :args ((@list tptp.sk9 @t162 @t164))) % 2.72/2.92 (step @p284 :rule instantiate :premises (@p83) :args ((@list @t163 tptp.sk8))) % 2.72/2.92 (step @p285 :rule instantiate :premises (@p84) :args ((@list tptp.sk6 tptp.nil))) % 2.72/2.92 (step @p286 :rule cnf_or_pos :args (@t198)) % 2.72/2.92 (step @p287 :rule reordering :premises (@p286) :args ((or @t197 @t167 @t196 (not @t198)))) % 2.72/2.92 (step @p288 :rule chain_m_resolution :premises (@p287 @p8 @p193 @p285) :args (@t196 @t199 (@list @t1 @t158 @t198))) % 2.72/2.92 (step @p289 :rule cnf_or_pos :args (@t203)) % 2.72/2.92 (step @p290 :rule reordering :premises (@p289) :args ((or @t201 @t202 @t200 (not @t203)))) % 2.72/2.92 (step @p291 :rule chain_m_resolution :premises (@p290 @p195 @p288 @p284) :args (@t200 @t199 (@list @t160 @t196 @t203))) % 2.72/2.92 (step @p292 :rule instantiate :premises (@p84) :args ((@list tptp.sk7 tptp.nil))) % 2.72/2.92 (step @p293 :rule cnf_or_pos :args (@t205)) % 2.72/2.92 (step @p294 :rule reordering :premises (@p293) :args ((or @t197 @t171 @t204 (not @t205)))) % 2.72/2.92 (step @p295 :rule chain_m_resolution :premises (@p294 @p8 @p194 @p292) :args (@t204 @t199 (@list @t1 @t159 @t205))) % 2.72/2.92 (step @p296 :rule cnf_or_pos :args (@t210)) % 2.72/2.92 (step @p297 :rule reordering :premises (@p296) :args ((or @t180 @t209 @t208 @t207 (not @t210)))) % 2.72/2.92 (step @p298 :rule chain_m_resolution :premises (@p297 @p196 @p295 @p291 @p283) :args (@t207 @t211 (@list @t161 @t204 @t200 @t210))) % 2.72/2.92 (step @p299 :rule symm :premises (@p298)) % 2.72/2.92 (step @p300 :rule eq-symm :args (@t93 @t63)) % 2.72/2.92 (step @p301 :rule refl :args (@t62)) % 2.72/2.92 (step @p302 :rule nary_cong :premises (@p208 @p301 @p300) :args (@t94)) % 2.72/2.92 (step @p303 :rule cong :premises (@p302) :args (@t95)) % 2.72/2.92 (step @p304 :rule eq_resolve :premises (@p118 @p303)) % 2.72/2.92 (step @p305 :rule eq-symm :args (@t212 @t206)) % 2.72/2.92 (step @p306 :rule refl :args (@t180)) % 2.72/2.92 (step @p307 :rule nary_cong :premises (@p215 @p306 @p305) :args (@t213)) % 2.72/2.92 (step @p308 :rule refl :args (@t214)) % 2.72/2.92 (step @p309 :rule cong :premises (@p308 @p307) :args ((=> @t214 @t213))) % 2.72/2.92 (assume-push @p379 @t214) % 2.72/2.92 (step @p311 :rule instantiate :premises (@p304) :args ((@list tptp.sk7 tptp.sk9))) % 2.72/2.92 (step-pop @p380 :rule scope :premises (@p311)) % 2.72/2.92 (step @p312 :rule process_scope :premises (@p380) :args (@t213)) % 2.72/2.92 (step @p314 :rule eq_resolve :premises (@p312 @p309)) % 2.72/2.92 (step @p315 :rule implies_elim :premises (@p314)) % 2.72/2.92 (step @p316 :rule chain_m_resolution :premises (@p315 @p304) :args (@t216 @t176 (@list @t214))) % 2.72/2.92 (step @p317 :rule cnf_or_pos :args (@t216)) % 2.72/2.92 (step @p318 :rule reordering :premises (@p317) :args ((or @t171 @t180 @t215 (not @t216)))) % 2.72/2.92 (step @p319 :rule chain_m_resolution :premises (@p318 @p194 @p196 @p316) :args (@t215 @t199 (@list @t159 @t161 @t216))) % 2.72/2.92 (step @p320 :rule symm :premises (@p319)) % 2.72/2.92 (step @p321 :rule refl :args (tptp.sk7)) % 2.72/2.92 (step @p322 :rule cong :premises (@p321 @p244) :args (@t217)) % 2.72/2.92 (step @p323 :rule trans :premises (@p322 @p320)) % 2.72/2.92 (step @p324 :rule eq-symm :args (@t126 @t2)) % 2.72/2.92 (step @p325 :rule refl :args (@t118)) % 2.72/2.92 (step @p326 :rule nary_cong :premises (@p325 @p207 @p236 @p324) :args (@t127)) % 2.72/2.92 (step @p327 :rule cong :premises (@p326) :args (@t128)) % 2.72/2.92 (step @p328 :rule eq_resolve :premises (@p166 @p327)) % 2.72/2.92 (step @p329 :rule instantiate :premises (@p328) :args (@t183)) % 2.72/2.92 (step @p330 :rule aci_norm :args ((= (or false @t112 @t47 @t72 @t219 @t218) (or @t112 @t47 @t72 @t219 @t218)))) % 2.72/2.92 (step @p331 :rule refl :args (@t218)) % 2.72/2.92 (step @p332 :rule refl :args (@t219)) % 2.72/2.92 (step @p333 :rule eq-refl :args (@t136)) % 2.72/2.92 (step @p334 :rule cong :premises (@p333) :args (@t220)) % 2.72/2.92 (step @p335 :rule trans :premises (@p334 @p257)) % 2.72/2.92 (step @p336 :rule nary_cong :premises (@p335 @p255 @p236 @p207 @p332 @p331) :args (@t221)) % 2.72/2.92 (step @p337 :rule trans :premises (@p336 @p330)) % 2.72/2.92 (step @p338 :rule cong :premises (@p337) :args ((forall @t113 @t221))) % 2.72/2.92 (step @p339 :rule quant-var-elim-eq :args ((= (forall @t224 @t223) @t221))) % 2.72/2.92 (step @p340 :rule aci_norm :args ((= @t225 @t223))) % 2.72/2.92 (step @p341 :rule cong :premises (@p340) :args (@t226)) % 2.72/2.92 (step @p342 :rule trans :premises (@p341 @p339)) % 2.72/2.92 (step @p343 :rule cong :premises (@p342) :args (@t227)) % 2.72/2.92 (step @p344 :rule quant-merge-prenex :args ((= @t227 (forall @t133 @t225)))) % 2.72/2.92 (step @p345 :rule symm :premises (@p344)) % 2.72/2.92 (step @p346 :rule trans :premises (@p345 @p343)) % 2.72/2.92 (step @p347 :rule trans :premises (@p346 @p338)) % 2.72/2.92 (step @p348 :rule refl :args (@t135)) % 2.72/2.92 (step @p349 :rule refl :args (@t130)) % 2.72/2.92 (step @p350 :rule eq-symm :args (@t136 @t129)) % 2.72/2.92 (step @p351 :rule cong :premises (@p350) :args (@t137)) % 2.72/2.92 (step @p352 :rule nary_cong :premises (@p351 @p255 @p236 @p207 @p349 @p348) :args (@t138)) % 2.72/2.92 (step @p353 :rule cong :premises (@p352) :args (@t139)) % 2.72/2.92 (step @p354 :rule trans :premises (@p353 @p347)) % 2.72/2.92 (step @p355 :rule eq_resolve :premises (@p172 @p354)) % 2.72/2.92 (step @p356 :rule instantiate :premises (@p355) :args ((@list tptp.sk8 tptp.sk6 tptp.nil))) % 2.72/2.92 (step @p357 :rule cnf_or_pos :args (@t229)) % 2.72/2.92 (step @p358 :rule reordering :premises (@p357) :args ((or @t197 @t167 @t201 @t208 @t228 (not @t229)))) % 2.72/2.92 (step @p359 :rule chain_m_resolution :premises (@p358 @p8 @p193 @p195 @p291 @p356) :args (@t228 (@list false false false false false) (@list @t1 @t158 @t160 @t200 @t229))) % 2.72/2.92 (step @p360 :rule cnf_or_pos :args (@t233)) % 2.72/2.92 (step @p361 :rule reordering :premises (@p360) :args ((or @t167 @t208 @t232 @t231 (not @t233)))) % 2.72/2.92 (step @p362 :rule chain_m_resolution :premises (@p361 @p193 @p291 @p359 @p329) :args (@t231 @t211 (@list @t158 @t200 @t228 @t233))) % 2.72/2.92 (step @p363 :rule symm :premises (@p362)) % 2.72/2.92 (step @p364 :rule cong :premises (@p363 @p323) :args (@t234)) % 2.72/2.92 (step @p365 :rule trans :premises (@p364 @p299 @p197)) % 2.72/2.92 (step @p366 :rule cong :premises (@p365) :args (@t235)) % 2.72/2.92 (step @p367 :rule trans :premises (@p366 @p282)) % 2.72/2.92 (step @p368 :rule true_elim :premises (@p367)) % 2.72/2.92 (step @p369 :rule true_intro :premises (@p191)) % 2.72/2.92 (step @p370 :rule trans :premises (@p364 @p299 @p197 @p188)) % 2.72/2.92 (step @p371 :rule cong :premises (@p370) :args (@t236)) % 2.72/2.92 (step @p372 :rule trans :premises (@p371 @p369)) % 2.72/2.92 (step @p373 :rule true_elim :premises (@p372)) % 2.72/2.92 (step @p374 :rule cnf_or_pos :args (@t244)) % 2.72/2.92 (step @p375 :rule reordering :premises (@p374) :args ((or @t167 @t171 @t177 @t242 @t243 @t240 @t238 @t237 (not @t244)))) % 2.72/2.92 (step @p376 false :rule chain_m_resolution :premises (@p375 @p373 @p368 @p281 @p249 @p248 @p247 @p233 @p194 @p193) :args (false (@list false false false false false false true false false) (@list @t236 @t235 @t244 @t241 @t239 @t182 @t177 @t159 @t158))) % 2.72/2.92 ) % 2.72/2.93 % SZS output end Proof % 2.72/2.94 % cvc5 exiting %------------------------------------------------------------------------------