%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC302-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:58:47 AM UTC 2026 % Result : Unsatisfiable 34.01s 34.90s % Output : Proof 34.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC302-1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n026.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 19:39:25 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/15.82 --- Run --no-e-matching --full-saturate-quant at 6... % 21.64/21.86 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.75/27.90 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.00/34.14 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.01/34.90 % SZS status Unsatisfiable % 34.01/34.90 % SZS output start Proof % 34.01/34.91 ( % 34.01/34.91 (declare-sort $$unsorted 0) % 34.01/34.91 (declare-const tptp.sk8 $$unsorted) % 34.01/34.91 (declare-const tptp.sk6 $$unsorted) % 34.01/34.91 (declare-const tptp.sk4 $$unsorted) % 34.01/34.91 (declare-const tptp.sk2 $$unsorted) % 34.01/34.91 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.nil $$unsorted) % 34.01/34.91 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.sk1 $$unsorted) % 34.01/34.91 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.skac2 $$unsorted) % 34.01/34.91 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.sk3 $$unsorted) % 34.01/34.91 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.sk5 $$unsorted) % 34.01/34.91 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.ssList (-> $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.sk7 $$unsorted) % 34.01/34.91 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skac3 $$unsorted) % 34.01/34.91 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.sk9 $$unsorted) % 34.01/34.91 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.91 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 34.01/34.91 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 34.01/34.91 (define @t1 () (tptp.ssList tptp.nil)) % 34.01/34.91 (define @t2 () (@var "U" $$unsorted)) % 34.01/34.91 (define @t3 () (tptp.skaf83 @t2)) % 34.01/34.91 (define @t4 () (@list @t2)) % 34.01/34.91 (define @t5 () (tptp.skaf82 @t2)) % 34.01/34.91 (define @t6 () (tptp.skaf81 @t2)) % 34.01/34.91 (define @t7 () (tptp.skaf80 @t2)) % 34.01/34.91 (define @t8 () (tptp.skaf79 @t2)) % 34.01/34.91 (define @t9 () (tptp.skaf78 @t2)) % 34.01/34.91 (define @t10 () (tptp.skaf77 @t2)) % 34.01/34.91 (define @t11 () (tptp.skaf76 @t2)) % 34.01/34.91 (define @t12 () (tptp.skaf75 @t2)) % 34.01/34.91 (define @t13 () (tptp.skaf74 @t2)) % 34.01/34.91 (define @t14 () (tptp.skaf73 @t2)) % 34.01/34.91 (define @t15 () (tptp.skaf72 @t2)) % 34.01/34.91 (define @t16 () (tptp.skaf71 @t2)) % 34.01/34.91 (define @t17 () (tptp.skaf70 @t2)) % 34.01/34.91 (define @t18 () (tptp.skaf69 @t2)) % 34.01/34.91 (define @t19 () (tptp.skaf68 @t2)) % 34.01/34.91 (define @t20 () (tptp.skaf67 @t2)) % 34.01/34.91 (define @t21 () (tptp.skaf66 @t2)) % 34.01/34.91 (define @t22 () (tptp.skaf65 @t2)) % 34.01/34.91 (define @t23 () (tptp.skaf64 @t2)) % 34.01/34.91 (define @t24 () (tptp.skaf63 @t2)) % 34.01/34.91 (define @t25 () (tptp.skaf62 @t2)) % 34.01/34.91 (define @t26 () (tptp.skaf61 @t2)) % 34.01/34.91 (define @t27 () (tptp.skaf60 @t2)) % 34.01/34.91 (define @t28 () (tptp.skaf59 @t2)) % 34.01/34.91 (define @t29 () (tptp.skaf58 @t2)) % 34.01/34.91 (define @t30 () (tptp.skaf57 @t2)) % 34.01/34.91 (define @t31 () (tptp.skaf56 @t2)) % 34.01/34.91 (define @t32 () (tptp.skaf55 @t2)) % 34.01/34.91 (define @t33 () (tptp.skaf54 @t2)) % 34.01/34.91 (define @t34 () (tptp.skaf53 @t2)) % 34.01/34.91 (define @t35 () (tptp.skaf52 @t2)) % 34.01/34.91 (define @t36 () (tptp.skaf51 @t2)) % 34.01/34.91 (define @t37 () (tptp.skaf50 @t2)) % 34.01/34.91 (define @t38 () (tptp.skaf49 @t2)) % 34.01/34.91 (define @t39 () (tptp.skaf44 @t2)) % 34.01/34.91 (define @t40 () (@var "V" $$unsorted)) % 34.01/34.91 (define @t41 () (@list @t2 @t40)) % 34.01/34.91 (define @t42 () (tptp.skaf47 @t2 @t40)) % 34.01/34.91 (define @t43 () (tptp.skaf46 @t2 @t40)) % 34.01/34.91 (define @t44 () (tptp.skaf45 @t2 @t40)) % 34.01/34.91 (define @t45 () (tptp.skaf42 @t2 @t40)) % 34.01/34.91 (define @t46 () (not (tptp.ssItem @t2))) % 34.01/34.91 (define @t47 () (not (tptp.ssList @t2))) % 34.01/34.91 (define @t48 () (tptp.cons @t2 tptp.nil)) % 34.01/34.91 (define @t49 () (tptp.ssItem @t40)) % 34.01/34.91 (define @t50 () (tptp.duplicatefreeP @t2)) % 34.01/34.91 (define @t51 () (= tptp.nil @t2)) % 34.01/34.91 (define @t52 () (tptp.tl @t2)) % 34.01/34.91 (define @t53 () (tptp.hd @t2)) % 34.01/34.91 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 34.01/34.91 (define @t55 () (not @t51)) % 34.01/34.91 (define @t56 () (tptp.rearsegP tptp.nil @t2)) % 34.01/34.91 (define @t57 () (tptp.frontsegP tptp.nil @t2)) % 34.01/34.91 (define @t58 () (tptp.app @t40 @t2)) % 34.01/34.91 (define @t59 () (not (tptp.ssList @t40))) % 34.01/34.91 (define @t60 () (tptp.cons @t2 @t40)) % 34.01/34.91 (define @t61 () (tptp.cyclefreeP @t2)) % 34.01/34.91 (define @t62 () (tptp.equalelemsP @t2)) % 34.01/34.91 (define @t63 () (tptp.strictorderedP @t2)) % 34.01/34.91 (define @t64 () (tptp.totalorderedP @t2)) % 34.01/34.91 (define @t65 () (tptp.strictorderP @t2)) % 34.01/34.91 (define @t66 () (tptp.totalorderP @t2)) % 34.01/34.91 (define @t67 () (= @t40 @t2)) % 34.01/34.91 (define @t68 () (tptp.neq @t40 @t2)) % 34.01/34.91 (define @t69 () (not @t49)) % 34.01/34.91 (define @t70 () (tptp.leq @t2 @t40)) % 34.01/34.91 (define @t71 () (tptp.lt @t2 @t40)) % 34.01/34.91 (define @t72 () (not @t71)) % 34.01/34.91 (define @t73 () (tptp.lt @t40 @t2)) % 34.01/34.91 (define @t74 () (not (tptp.gt @t2 @t40))) % 34.01/34.91 (define @t75 () (tptp.gt @t40 @t2)) % 34.01/34.91 (define @t76 () (tptp.leq @t40 @t2)) % 34.01/34.91 (define @t77 () (not (tptp.geq @t2 @t40))) % 34.01/34.91 (define @t78 () (tptp.geq @t40 @t2)) % 34.01/34.91 (define @t79 () (not @t70)) % 34.01/34.91 (define @t80 () (= @t2 @t40)) % 34.01/34.91 (define @t81 () (not @t80)) % 34.01/34.91 (define @t82 () (tptp.cons @t40 @t2)) % 34.01/34.91 (define @t83 () (not (tptp.neq @t2 @t40))) % 34.01/34.91 (define @t84 () (tptp.app @t2 @t40)) % 34.01/34.91 (define @t85 () (= @t84 tptp.nil)) % 34.01/34.91 (define @t86 () (not @t85)) % 34.01/34.91 (define @t87 () (= tptp.nil @t40)) % 34.01/34.91 (define @t88 () (tptp.app @t48 @t40)) % 34.01/34.91 (define @t89 () (or @t46 @t59 (= @t88 @t60))) % 34.01/34.91 (define @t90 () (forall @t41 @t89)) % 34.01/34.91 (define @t91 () (tptp.hd @t40)) % 34.01/34.91 (define @t92 () (tptp.strictorderedP @t40)) % 34.01/34.91 (define @t93 () (tptp.strictorderedP @t60)) % 34.01/34.91 (define @t94 () (not @t93)) % 34.01/34.91 (define @t95 () (tptp.totalorderedP @t40)) % 34.01/34.91 (define @t96 () (tptp.totalorderedP @t60)) % 34.01/34.91 (define @t97 () (not @t96)) % 34.01/34.91 (define @t98 () (not (tptp.segmentP @t2 @t40))) % 34.01/34.91 (define @t99 () (not (tptp.rearsegP @t2 @t40))) % 34.01/34.91 (define @t100 () (not (tptp.frontsegP @t2 @t40))) % 34.01/34.91 (define @t101 () (not @t76)) % 34.01/34.91 (define @t102 () (or @t79 @t101 @t46 @t69 @t67)) % 34.01/34.91 (define @t103 () (forall @t41 @t102)) % 34.01/34.91 (define @t104 () (tptp.tl @t40)) % 34.01/34.91 (define @t105 () (tptp.lt @t2 @t91)) % 34.01/34.91 (define @t106 () (tptp.leq @t2 @t91)) % 34.01/34.91 (define @t107 () (@var "W" $$unsorted)) % 34.01/34.91 (define @t108 () (tptp.app @t107 @t2)) % 34.01/34.91 (define @t109 () (not (tptp.ssList @t107))) % 34.01/34.91 (define @t110 () (@list @t2 @t40 @t107)) % 34.01/34.91 (define @t111 () (tptp.app @t2 @t107)) % 34.01/34.91 (define @t112 () (tptp.cons @t40 @t107)) % 34.01/34.91 (define @t113 () (tptp.cons @t107 @t2)) % 34.01/34.91 (define @t114 () (not (tptp.ssItem @t107))) % 34.01/34.91 (define @t115 () (not (tptp.memberP @t2 @t40))) % 34.01/34.91 (define @t116 () (not (= @t84 @t107))) % 34.01/34.91 (define @t117 () (tptp.lt @t2 @t107)) % 34.01/34.91 (define @t118 () (not (tptp.lt @t40 @t107))) % 34.01/34.91 (define @t119 () (tptp.app @t107 @t40)) % 34.01/34.91 (define @t120 () (= @t40 @t107)) % 34.01/34.91 (define @t121 () (= @t2 @t107)) % 34.01/34.91 (define @t122 () (tptp.memberP @t40 @t107)) % 34.01/34.91 (define @t123 () (@var "X" $$unsorted)) % 34.01/34.91 (define @t124 () (not (tptp.ssList @t123))) % 34.01/34.91 (define @t125 () (tptp.cons @t107 @t123)) % 34.01/34.91 (define @t126 () (not (= @t60 @t125))) % 34.01/34.91 (define @t127 () (@list @t2 @t40 @t107 @t123)) % 34.01/34.91 (define @t128 () (not (tptp.frontsegP @t60 @t125))) % 34.01/34.91 (define @t129 () (tptp.app @t2 @t112)) % 34.01/34.91 (define @t130 () (not (tptp.ssItem @t123))) % 34.01/34.91 (define @t131 () (@var "Y" $$unsorted)) % 34.01/34.91 (define @t132 () (not (tptp.ssList @t131))) % 34.01/34.91 (define @t133 () (@list @t2 @t40 @t107 @t123 @t131)) % 34.01/34.91 (define @t134 () (tptp.lt @t40 @t123)) % 34.01/34.91 (define @t135 () (@var "Z" $$unsorted)) % 34.01/34.91 (define @t136 () (not (tptp.ssList @t135))) % 34.01/34.91 (define @t137 () (tptp.app @t129 (tptp.cons @t123 @t131))) % 34.01/34.91 (define @t138 () (not (= @t137 @t135))) % 34.01/34.91 (define @t139 () (@list @t2 @t40 @t107 @t123 @t131 @t135)) % 34.01/34.91 (define @t140 () (tptp.leq @t40 @t123)) % 34.01/34.91 (define @t141 () (not (tptp.totalorderedP @t135))) % 34.01/34.91 (define @t142 () (or @t138 @t132 @t109 @t47 @t130 @t69 @t141 @t136 @t140)) % 34.01/34.91 (define @t143 () (forall @t139 @t142)) % 34.01/34.91 (define @t144 () (tptp.ssList tptp.sk1)) % 34.01/34.91 (define @t145 () (tptp.totalorderedP tptp.sk3)) % 34.01/34.91 (define @t146 () (tptp.ssItem tptp.sk5)) % 34.01/34.91 (define @t147 () (tptp.ssItem tptp.sk6)) % 34.01/34.91 (define @t148 () (tptp.ssList tptp.sk7)) % 34.01/34.91 (define @t149 () (tptp.ssList tptp.sk8)) % 34.01/34.91 (define @t150 () (tptp.ssList tptp.sk9)) % 34.01/34.91 (define @t151 () (tptp.cons tptp.sk6 tptp.nil)) % 34.01/34.91 (define @t152 () (tptp.cons tptp.sk5 tptp.nil)) % 34.01/34.91 (define @t153 () (tptp.app tptp.sk7 @t152)) % 34.01/34.91 (define @t154 () (tptp.app @t153 tptp.sk8)) % 34.01/34.91 (define @t155 () (tptp.app (tptp.app @t154 @t151) tptp.sk9)) % 34.01/34.91 (define @t156 () (tptp.lt tptp.sk6 tptp.sk5)) % 34.01/34.91 (define @t157 () (tptp.leq tptp.sk6 tptp.sk5)) % 34.01/34.91 (define @t158 () (not @t147)) % 34.01/34.91 (define @t159 () (not @t146)) % 34.01/34.91 (define @t160 () (not @t156)) % 34.01/34.91 (define @t161 () (or @t160 @t159 @t158 @t157)) % 34.01/34.91 (define @t162 () (@list false false false false)) % 34.01/34.91 (define @t163 () (not (tptp.ssList @t137))) % 34.01/34.91 (define @t164 () (not (tptp.totalorderedP @t137))) % 34.01/34.91 (define @t165 () (not (= @t137 @t137))) % 34.01/34.91 (define @t166 () (or @t165 @t132 @t109 @t47 @t130 @t69 @t164 @t163 @t140)) % 34.01/34.91 (define @t167 () (not (= @t135 @t137))) % 34.01/34.91 (define @t168 () (or @t167 @t167 @t132 @t109 @t47 @t130 @t69 @t141 @t136 @t140)) % 34.01/34.91 (define @t169 () (@list @t135)) % 34.01/34.91 (define @t170 () (or @t167 @t132 @t109 @t47 @t130 @t69 @t141 @t136 @t140)) % 34.01/34.91 (define @t171 () (forall @t169 @t170)) % 34.01/34.91 (define @t172 () (forall @t133 @t171)) % 34.01/34.91 (define @t173 () (tptp.ssList @t152)) % 34.01/34.91 (define @t174 () (not @t1)) % 34.01/34.91 (define @t175 () (or @t159 @t174 @t173)) % 34.01/34.91 (define @t176 () (@list false false false)) % 34.01/34.91 (define @t177 () (tptp.ssList @t153)) % 34.01/34.91 (define @t178 () (not @t148)) % 34.01/34.91 (define @t179 () (not @t173)) % 34.01/34.91 (define @t180 () (or @t179 @t178 @t177)) % 34.01/34.91 (define @t181 () (tptp.ssList @t154)) % 34.01/34.91 (define @t182 () (not @t177)) % 34.01/34.91 (define @t183 () (not @t149)) % 34.01/34.91 (define @t184 () (or @t183 @t182 @t181)) % 34.01/34.91 (define @t185 () (tptp.ssList @t151)) % 34.01/34.91 (define @t186 () (or @t158 @t174 @t185)) % 34.01/34.91 (define @t187 () (tptp.app @t151 tptp.sk9)) % 34.01/34.91 (define @t188 () (= @t155 (tptp.app @t154 @t187))) % 34.01/34.91 (define @t189 () (not @t181)) % 34.01/34.91 (define @t190 () (not @t185)) % 34.01/34.91 (define @t191 () (not @t150)) % 34.01/34.91 (define @t192 () (or @t191 @t190 @t189 @t188)) % 34.01/34.91 (define @t193 () (tptp.cons tptp.sk6 tptp.sk9)) % 34.01/34.91 (define @t194 () (= @t193 @t187)) % 34.01/34.91 (define @t195 () (or @t158 @t191 @t194)) % 34.01/34.91 (define @t196 () (tptp.app @t152 tptp.sk8)) % 34.01/34.91 (define @t197 () (= @t154 (tptp.app tptp.sk7 @t196))) % 34.01/34.91 (define @t198 () (or @t183 @t179 @t178 @t197)) % 34.01/34.91 (define @t199 () (tptp.cons tptp.sk5 tptp.sk8)) % 34.01/34.91 (define @t200 () (= @t199 @t196)) % 34.01/34.91 (define @t201 () (or @t159 @t183 @t200)) % 34.01/34.91 (define @t202 () (tptp.app tptp.sk7 @t199)) % 34.01/34.91 (define @t203 () (tptp.app @t202 @t193)) % 34.01/34.91 (define @t204 () (tptp.totalorderedP @t203)) % 34.01/34.91 (define @t205 () (tptp.ssList @t203)) % 34.01/34.91 (define @t206 () (tptp.leq tptp.sk5 tptp.sk6)) % 34.01/34.91 (define @t207 () (not @t205)) % 34.01/34.91 (define @t208 () (not @t204)) % 34.01/34.91 (define @t209 () (or @t191 @t183 @t178 @t158 @t159 @t208 @t207 @t206)) % 34.01/34.91 (define @t210 () (= tptp.sk5 tptp.sk6)) % 34.01/34.91 (define @t211 () (not @t157)) % 34.01/34.91 (define @t212 () (not @t206)) % 34.01/34.91 (define @t213 () (or @t212 @t211 @t159 @t158 @t210)) % 34.01/34.91 (define @t214 () (tptp.lt tptp.sk6 tptp.sk6)) % 34.01/34.91 (define @t215 () (not @t214)) % 34.01/34.91 (define @t216 () (or @t215 @t158)) % 34.01/34.91 (assume @p1 (tptp.equalelemsP tptp.nil)) % 34.01/34.91 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 34.01/34.91 (assume @p3 (tptp.strictorderedP tptp.nil)) % 34.01/34.91 (assume @p4 (tptp.totalorderedP tptp.nil)) % 34.01/34.91 (assume @p5 (tptp.strictorderP tptp.nil)) % 34.01/34.91 (assume @p6 (tptp.totalorderP tptp.nil)) % 34.01/34.91 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 34.01/34.91 (assume @p8 @t1) % 34.01/34.91 (assume @p9 (tptp.ssItem tptp.skac3)) % 34.01/34.91 (assume @p10 (tptp.ssItem tptp.skac2)) % 34.01/34.91 (assume @p11 (not (tptp.singletonP tptp.nil))) % 34.01/34.91 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 34.01/34.91 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 34.01/34.91 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 34.01/34.91 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 34.01/34.91 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 34.01/34.91 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 34.01/34.91 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 34.01/34.91 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 34.01/34.91 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 34.01/34.91 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 34.01/34.91 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 34.01/34.91 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 34.01/34.91 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 34.01/34.91 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 34.01/34.91 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 34.01/34.91 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 34.01/34.91 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 34.01/34.91 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 34.01/34.91 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 34.01/34.91 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 34.01/34.91 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 34.01/34.91 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 34.01/34.91 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 34.01/34.91 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 34.01/34.91 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 34.01/34.91 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 34.01/34.91 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 34.01/34.91 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 34.01/34.91 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 34.01/34.91 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 34.01/34.91 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 34.01/34.91 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 34.01/34.91 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 34.01/34.91 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 34.01/34.91 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 34.01/34.91 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 34.01/34.91 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 34.01/34.91 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 34.01/34.91 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 34.01/34.91 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 34.01/34.91 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 34.01/34.91 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 34.01/34.91 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 34.01/34.91 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 34.01/34.91 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 34.01/34.91 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 34.01/34.91 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 34.01/34.91 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 34.01/34.91 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 34.01/34.91 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 34.01/34.91 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 34.01/34.91 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 34.01/34.91 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 34.01/34.91 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 34.01/34.91 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 34.01/34.91 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 34.01/34.91 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 34.01/34.91 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 34.01/34.91 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 34.01/34.91 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 34.01/34.91 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 34.01/34.91 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 34.01/34.91 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 34.01/34.91 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 34.01/34.91 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 34.01/34.91 (assume @p77 (forall @t4 (or @t55 @t47 @t54))) % 34.01/34.91 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 34.01/34.91 (assume @p79 (forall @t4 (or @t55 @t47 @t56))) % 34.01/34.91 (assume @p80 (forall @t4 (or (not @t56) @t47 @t51))) % 34.01/34.91 (assume @p81 (forall @t4 (or @t55 @t47 @t57))) % 34.01/34.91 (assume @p82 (forall @t4 (or (not @t57) @t47 @t51))) % 34.01/34.91 (assume @p83 (forall @t41 (or @t47 @t59 (tptp.ssList @t58)))) % 34.01/34.91 (assume @p84 (forall @t41 (or @t46 @t59 (tptp.ssList @t60)))) % 34.01/34.91 (assume @p85 (forall @t4 (or @t47 @t61 (tptp.leq @t37 @t38)))) % 34.01/34.91 (assume @p86 (forall @t4 (or @t47 @t61 (tptp.leq @t38 @t37)))) % 34.01/34.91 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t62))) % 34.01/34.91 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t63))) % 34.01/34.91 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t64))) % 34.01/34.91 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t65))) % 34.01/34.91 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t65))) % 34.01/34.91 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t66))) % 34.01/34.91 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t66))) % 34.01/34.91 (assume @p94 (forall @t41 (or @t46 @t59 (= (tptp.tl @t60) @t40)))) % 34.01/34.91 (assume @p95 (forall @t41 (or @t46 @t59 (= (tptp.hd @t60) @t2)))) % 34.01/34.91 (assume @p96 (forall @t41 (or (not (= @t60 tptp.nil)) @t46 @t59))) % 34.01/34.91 (assume @p97 (forall @t41 (or (not (= @t60 @t40)) @t46 @t59))) % 34.01/34.91 (assume @p98 (forall @t41 (or @t47 @t59 @t68 @t67))) % 34.01/34.91 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 34.01/34.91 (assume @p100 (forall @t41 (or @t46 @t69 @t68 @t67))) % 34.01/34.91 (assume @p101 (forall @t41 (or @t72 @t69 @t46 @t70))) % 34.01/34.91 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 34.01/34.91 (assume @p103 (forall @t41 (or @t74 @t69 @t46 @t73))) % 34.01/34.91 (assume @p104 (forall @t41 (or @t72 @t46 @t69 @t75))) % 34.01/34.91 (assume @p105 (forall @t41 (or @t77 @t69 @t46 @t76))) % 34.01/34.91 (assume @p106 (forall @t41 (or @t79 @t46 @t69 @t78))) % 34.01/34.91 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 34.01/34.91 (assume @p108 (forall @t41 (or @t74 (not @t75) @t46 @t69))) % 34.01/34.91 (assume @p109 (forall @t41 (or @t81 @t72 @t69 @t46))) % 34.01/34.91 (assume @p110 (forall @t41 (or @t55 @t47 @t69 (tptp.strictorderedP @t82)))) % 34.01/34.91 (assume @p111 (forall @t41 (or @t55 @t47 @t69 (tptp.totalorderedP @t82)))) % 34.01/34.91 (assume @p112 (forall @t41 (or @t72 (not @t73) @t46 @t69))) % 34.01/34.91 (assume @p113 (forall @t41 (or @t81 @t83 @t59 @t47))) % 34.01/34.91 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t59 (tptp.singletonP @t40)))) % 34.01/34.91 (assume @p115 (forall @t41 (or @t81 @t83 @t69 @t46))) % 34.01/34.91 (assume @p116 (forall @t41 (or @t86 @t59 @t47 @t51))) % 34.01/34.91 (assume @p117 (forall @t41 (or @t86 @t59 @t47 @t87))) % 34.01/34.91 (assume @p118 @t90) % 34.01/34.91 (assume @p119 (forall @t41 (or @t79 @t69 @t46 @t71 @t80))) % 34.01/34.91 (assume @p120 (forall @t41 (or @t47 @t59 @t87 (= (tptp.hd @t58) @t91)))) % 34.01/34.91 (assume @p121 (forall @t41 (or @t94 @t59 @t46 @t92 @t87))) % 34.01/34.91 (assume @p122 (forall @t41 (or @t97 @t59 @t46 @t95 @t87))) % 34.01/34.91 (assume @p123 (forall @t41 (or @t77 (not @t78) @t46 @t69 @t67))) % 34.01/34.91 (assume @p124 (forall @t41 (or @t98 (not (tptp.segmentP @t40 @t2)) @t47 @t59 @t67))) % 34.01/34.91 (assume @p125 (forall @t41 (or @t99 (not (tptp.rearsegP @t40 @t2)) @t47 @t59 @t67))) % 34.01/34.91 (assume @p126 (forall @t41 (or @t100 (not (tptp.frontsegP @t40 @t2)) @t47 @t59 @t67))) % 34.01/34.91 (assume @p127 @t103) % 34.01/34.91 (assume @p128 (forall @t41 (or @t99 @t59 @t47 (= (tptp.app @t43 @t40) @t2)))) % 34.01/34.91 (assume @p129 (forall @t41 (or @t100 @t59 @t47 (= (tptp.app @t40 @t44) @t2)))) % 34.01/34.91 (assume @p130 (forall @t41 (or @t47 @t59 @t87 (= (tptp.tl @t58) (tptp.app @t104 @t2))))) % 34.01/34.91 (assume @p131 (forall @t41 (or @t94 @t59 @t46 @t105 @t87))) % 34.01/34.91 (assume @p132 (forall @t41 (or @t97 @t59 @t46 @t106 @t87))) % 34.01/34.91 (assume @p133 (forall @t110 (or @t99 @t109 @t59 @t47 (tptp.rearsegP @t108 @t40)))) % 34.01/34.91 (assume @p134 (forall @t110 (or @t100 @t109 @t59 @t47 (tptp.frontsegP @t111 @t40)))) % 34.01/34.91 (assume @p135 (forall @t110 (or @t81 @t109 @t69 @t46 (tptp.memberP @t112 @t2)))) % 34.01/34.91 (assume @p136 (forall @t110 (or @t115 @t47 @t114 @t69 (tptp.memberP @t113 @t40)))) % 34.01/34.91 (assume @p137 (forall @t110 (or @t115 @t109 @t47 @t69 (tptp.memberP @t111 @t40)))) % 34.01/34.91 (assume @p138 (forall @t110 (or @t115 @t47 @t109 @t69 (tptp.memberP @t108 @t40)))) % 34.01/34.91 (assume @p139 (forall @t4 (or @t47 @t62 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 34.01/34.91 (assume @p140 (forall @t110 (or @t116 @t47 @t59 @t109 (tptp.rearsegP @t107 @t40)))) % 34.01/34.91 (assume @p141 (forall @t110 (or @t116 @t59 @t47 @t109 (tptp.frontsegP @t107 @t2)))) % 34.01/34.91 (assume @p142 (forall @t41 (or @t55 (not @t87) @t59 @t47 @t85))) % 34.01/34.91 (assume @p143 (forall @t110 (or @t74 (not (tptp.gt @t40 @t107)) @t114 @t69 @t46 (tptp.gt @t2 @t107)))) % 34.01/34.91 (assume @p144 (forall @t110 (or @t79 @t118 @t114 @t69 @t46 @t117))) % 34.01/34.91 (assume @p145 (forall @t110 (or @t77 (not (tptp.geq @t40 @t107)) @t114 @t69 @t46 (tptp.geq @t2 @t107)))) % 34.01/34.91 (assume @p146 (forall @t110 (or @t47 @t59 @t109 (= (tptp.app @t119 @t2) (tptp.app @t107 @t58))))) % 34.01/34.91 (assume @p147 (forall @t110 (or (not (= @t84 @t111)) @t59 @t47 @t109 @t120))) % 34.01/34.91 (assume @p148 (forall @t110 (or (not (= @t84 @t119)) @t47 @t59 @t109 @t121))) % 34.01/34.91 (assume @p149 (forall @t110 (or @t98 (not (tptp.segmentP @t40 @t107)) @t109 @t59 @t47 (tptp.segmentP @t2 @t107)))) % 34.01/34.91 (assume @p150 (forall @t110 (or @t99 (not (tptp.rearsegP @t40 @t107)) @t109 @t59 @t47 (tptp.rearsegP @t2 @t107)))) % 34.01/34.91 (assume @p151 (forall @t110 (or @t100 (not (tptp.frontsegP @t40 @t107)) @t109 @t59 @t47 (tptp.frontsegP @t2 @t107)))) % 34.01/34.91 (assume @p152 (forall @t110 (or @t72 @t118 @t114 @t69 @t46 @t117))) % 34.01/34.91 (assume @p153 (forall @t110 (or @t79 (not (tptp.leq @t40 @t107)) @t114 @t69 @t46 (tptp.leq @t2 @t107)))) % 34.01/34.91 (assume @p154 (forall @t110 (or @t46 @t59 @t109 (= (tptp.cons @t2 (tptp.app @t40 @t107)) (tptp.app @t60 @t107))))) % 34.01/34.91 (assume @p155 (forall @t110 (or (not (tptp.memberP @t84 @t107)) @t59 @t47 @t114 @t122 (tptp.memberP @t2 @t107)))) % 34.01/34.91 (assume @p156 (forall @t41 (or (not @t106) (not @t95) @t59 @t46 @t96 @t87))) % 34.01/34.91 (assume @p157 (forall @t41 (or (not @t105) (not @t92) @t59 @t46 @t93 @t87))) % 34.01/34.91 (assume @p158 (forall @t110 (or (not (tptp.memberP @t60 @t107)) @t59 @t46 @t114 @t122 (= @t107 @t2)))) % 34.01/34.91 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 34.01/34.91 (assume @p160 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 34.01/34.91 (assume @p161 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 34.01/34.91 (assume @p162 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 34.01/34.91 (assume @p163 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 34.01/34.91 (assume @p164 (forall @t4 (or @t47 @t61 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 34.01/34.91 (assume @p165 (forall @t41 (or @t98 @t59 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 34.01/34.91 (assume @p166 (forall @t41 (or @t115 @t69 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 34.01/34.91 (assume @p167 (forall @t127 (or @t126 @t114 @t46 @t124 @t59 @t121))) % 34.01/34.91 (assume @p168 (forall @t127 (or @t126 @t114 @t46 @t124 @t59 (= @t123 @t40)))) % 34.01/34.91 (assume @p169 (forall @t127 (or @t98 @t109 @t124 @t59 @t47 (tptp.segmentP (tptp.app (tptp.app @t123 @t2) @t107) @t40)))) % 34.01/34.91 (assume @p170 (forall @t127 (or (not (= (tptp.app @t84 @t107) @t123)) @t109 @t47 @t59 @t124 (tptp.segmentP @t123 @t40)))) % 34.01/34.91 (assume @p171 (forall @t127 (or @t128 @t124 @t59 @t114 @t46 (tptp.frontsegP @t40 @t123)))) % 34.01/34.91 (assume @p172 (forall @t127 (or (not (= @t129 @t123)) @t109 @t47 @t69 @t124 (tptp.memberP @t123 @t40)))) % 34.01/34.91 (assume @p173 (forall @t127 (or @t128 @t124 @t59 @t114 @t46 @t121))) % 34.01/34.91 (assume @p174 (forall @t41 (or (not (= @t52 @t104)) (not (= @t53 @t91)) @t47 @t59 @t87 @t80 @t51))) % 34.01/34.91 (assume @p175 (forall @t127 (or @t100 (not (= @t107 @t123)) @t59 @t47 @t130 @t114 (tptp.frontsegP @t113 (tptp.cons @t123 @t40))))) % 34.01/34.91 (assume @p176 (forall @t133 (or (not (= (tptp.app @t129 (tptp.cons @t40 @t123)) @t131)) @t124 @t109 @t47 @t69 (not (tptp.duplicatefreeP @t131)) @t132))) % 34.01/34.91 (assume @p177 (forall @t133 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t125)) @t131)) @t124 @t47 @t114 @t69 (not (tptp.equalelemsP @t131)) @t132 @t120))) % 34.01/34.91 (assume @p178 (forall @t139 (or @t138 @t132 @t109 @t47 @t130 @t69 (not (tptp.strictorderedP @t135)) @t136 @t134))) % 34.01/34.91 (assume @p179 @t143) % 34.01/34.91 (assume @p180 (forall @t139 (or @t138 @t132 @t109 @t47 @t130 @t69 (not (tptp.strictorderP @t135)) @t136 @t134 (tptp.lt @t123 @t40)))) % 34.01/34.91 (assume @p181 (forall @t139 (or @t138 @t132 @t109 @t47 @t130 @t69 (not (tptp.totalorderP @t135)) @t136 @t140 (tptp.leq @t123 @t40)))) % 34.01/34.91 (assume @p182 (forall @t139 (or @t79 @t101 (not (= (tptp.app (tptp.app @t107 (tptp.cons @t2 @t123)) (tptp.cons @t40 @t131)) @t135)) @t132 @t124 @t109 @t69 @t46 (not (tptp.cyclefreeP @t135)) @t136))) % 34.01/34.91 (assume @p183 @t144) % 34.01/34.91 (assume @p184 (tptp.ssList tptp.sk2)) % 34.01/34.91 (assume @p185 (tptp.ssList tptp.sk3)) % 34.01/34.91 (assume @p186 (tptp.ssList tptp.sk4)) % 34.01/34.91 (assume @p187 (= tptp.sk2 tptp.sk4)) % 34.01/34.91 (assume @p188 (= tptp.sk1 tptp.sk3)) % 34.01/34.91 (assume @p189 (tptp.segmentP tptp.sk4 tptp.sk3)) % 34.01/34.91 (assume @p190 @t145) % 34.01/34.91 (assume @p191 @t146) % 34.01/34.91 (assume @p192 @t147) % 34.01/34.91 (assume @p193 @t148) % 34.01/34.91 (assume @p194 @t149) % 34.01/34.91 (assume @p195 @t150) % 34.01/34.91 (assume @p196 (= @t155 tptp.sk1)) % 34.01/34.91 (assume @p197 @t156) % 34.01/34.91 (step @p198 :rule evaluate :args ((= false true))) % 34.01/34.91 (step @p199 :rule true_intro :premises (@p197)) % 34.01/34.91 (step @p200 :rule eq-symm :args (@t40 @t2)) % 34.01/34.91 (step @p201 :rule refl :args (@t69)) % 34.01/34.91 (step @p202 :rule refl :args (@t46)) % 34.01/34.91 (step @p203 :rule refl :args (@t101)) % 34.01/34.91 (step @p204 :rule refl :args (@t79)) % 34.01/34.91 (step @p205 :rule nary_cong :premises (@p204 @p203 @p202 @p201 @p200) :args (@t102)) % 34.01/34.91 (step @p206 :rule cong :premises (@p205) :args (@t103)) % 34.01/34.91 (step @p207 :rule eq_resolve :premises (@p127 @p206)) % 34.01/34.91 (step @p208 :rule instantiate :premises (@p207) :args ((@list tptp.sk5 tptp.sk6))) % 34.01/34.91 (step @p209 :rule instantiate :premises (@p101) :args ((@list tptp.sk6 tptp.sk5))) % 34.01/34.91 (step @p210 :rule cnf_or_pos :args (@t161)) % 34.01/34.91 (step @p211 :rule reordering :premises (@p210) :args ((or @t159 @t158 @t160 @t157 (not @t161)))) % 34.01/34.91 (step @p212 :rule chain_m_resolution :premises (@p211 @p191 @p192 @p197 @p209) :args (@t157 @t162 (@list @t146 @t147 @t156 @t161))) % 34.01/34.91 (step @p213 :rule aci_norm :args ((= (or false @t132 @t109 @t47 @t130 @t69 @t164 @t163 @t140) (or @t132 @t109 @t47 @t130 @t69 @t164 @t163 @t140)))) % 34.01/34.91 (step @p214 :rule refl :args (@t140)) % 34.01/34.91 (step @p215 :rule refl :args (@t163)) % 34.01/34.91 (step @p216 :rule refl :args (@t164)) % 34.01/34.91 (step @p217 :rule refl :args (@t130)) % 34.01/34.91 (step @p218 :rule refl :args (@t47)) % 34.01/34.91 (step @p219 :rule refl :args (@t109)) % 34.01/34.91 (step @p220 :rule refl :args (@t132)) % 34.01/34.91 (step @p221 :rule evaluate :args ((not true))) % 34.01/34.91 (step @p222 :rule eq-refl :args (@t137)) % 34.01/34.91 (step @p223 :rule cong :premises (@p222) :args (@t165)) % 34.01/34.91 (step @p224 :rule trans :premises (@p223 @p221)) % 34.01/34.91 (step @p225 :rule nary_cong :premises (@p224 @p220 @p219 @p218 @p217 @p201 @p216 @p215 @p214) :args (@t166)) % 34.01/34.91 (step @p226 :rule trans :premises (@p225 @p213)) % 34.01/34.91 (step @p227 :rule cong :premises (@p226) :args ((forall @t133 @t166))) % 34.01/34.91 (step @p228 :rule quant-var-elim-eq :args ((= (forall @t169 @t168) @t166))) % 34.01/34.91 (step @p229 :rule aci_norm :args ((= @t170 @t168))) % 34.01/34.91 (step @p230 :rule cong :premises (@p229) :args (@t171)) % 34.01/34.91 (step @p231 :rule trans :premises (@p230 @p228)) % 34.01/34.91 (step @p232 :rule cong :premises (@p231) :args (@t172)) % 34.01/34.91 (step @p233 :rule quant-merge-prenex :args ((= @t172 (forall @t139 @t170)))) % 34.01/34.91 (step @p234 :rule symm :premises (@p233)) % 34.01/34.91 (step @p235 :rule trans :premises (@p234 @p232)) % 34.01/34.91 (step @p236 :rule trans :premises (@p235 @p227)) % 34.01/34.91 (step @p237 :rule refl :args (@t136)) % 34.01/34.91 (step @p238 :rule refl :args (@t141)) % 34.01/34.91 (step @p239 :rule eq-symm :args (@t137 @t135)) % 34.01/34.91 (step @p240 :rule cong :premises (@p239) :args (@t138)) % 34.01/34.91 (step @p241 :rule nary_cong :premises (@p240 @p220 @p219 @p218 @p217 @p201 @p238 @p237 @p214) :args (@t142)) % 34.01/34.91 (step @p242 :rule cong :premises (@p241) :args (@t143)) % 34.01/34.91 (step @p243 :rule trans :premises (@p242 @p236)) % 34.01/34.91 (step @p244 :rule eq_resolve :premises (@p179 @p243)) % 34.01/34.91 (step @p245 :rule instantiate :premises (@p244) :args ((@list tptp.sk7 tptp.sk5 tptp.sk8 tptp.sk6 tptp.sk9))) % 34.01/34.91 (step @p246 :rule refl :args (@t155)) % 34.01/34.91 (step @p247 :rule cong :premises (@p188 @p246) :args ((= tptp.sk1 @t155))) % 34.01/34.91 (step @p248 :rule symm :premises (@p196)) % 34.01/34.91 (step @p249 :rule eq_resolve :premises (@p248 @p247)) % 34.01/34.91 (step @p250 :rule cong :premises (@p249) :args (@t145)) % 34.01/34.91 (step @p251 :rule eq_resolve :premises (@p190 @p250)) % 34.01/34.91 (step @p252 :rule true_intro :premises (@p251)) % 34.01/34.91 (step @p253 :rule instantiate :premises (@p146) :args ((@list tptp.sk9 @t151 @t154))) % 34.01/34.91 (step @p254 :rule instantiate :premises (@p83) :args ((@list tptp.sk8 @t153))) % 34.01/34.91 (step @p255 :rule instantiate :premises (@p83) :args ((@list @t152 tptp.sk7))) % 34.01/34.91 (step @p256 :rule instantiate :premises (@p84) :args ((@list tptp.sk5 tptp.nil))) % 34.01/34.91 (step @p257 :rule cnf_or_pos :args (@t175)) % 34.01/34.91 (step @p258 :rule reordering :premises (@p257) :args ((or @t174 @t159 @t173 (not @t175)))) % 34.01/34.91 (step @p259 :rule chain_m_resolution :premises (@p258 @p8 @p191 @p256) :args (@t173 @t176 (@list @t1 @t146 @t175))) % 34.01/34.91 (step @p260 :rule cnf_or_pos :args (@t180)) % 34.01/34.91 (step @p261 :rule reordering :premises (@p260) :args ((or @t178 @t179 @t177 (not @t180)))) % 34.01/34.91 (step @p262 :rule chain_m_resolution :premises (@p261 @p193 @p259 @p255) :args (@t177 @t176 (@list @t148 @t173 @t180))) % 34.01/34.91 (step @p263 :rule cnf_or_pos :args (@t184)) % 34.01/34.91 (step @p264 :rule reordering :premises (@p263) :args ((or @t183 @t182 @t181 (not @t184)))) % 34.01/34.91 (step @p265 :rule chain_m_resolution :premises (@p264 @p194 @p262 @p254) :args (@t181 @t176 (@list @t149 @t177 @t184))) % 34.01/34.91 (step @p266 :rule instantiate :premises (@p84) :args ((@list tptp.sk6 tptp.nil))) % 34.01/34.91 (step @p267 :rule cnf_or_pos :args (@t186)) % 34.01/34.91 (step @p268 :rule reordering :premises (@p267) :args ((or @t174 @t158 @t185 (not @t186)))) % 34.01/34.91 (step @p269 :rule chain_m_resolution :premises (@p268 @p8 @p192 @p266) :args (@t185 @t176 (@list @t1 @t147 @t186))) % 34.01/34.91 (step @p270 :rule cnf_or_pos :args (@t192)) % 34.01/34.91 (step @p271 :rule reordering :premises (@p270) :args ((or @t191 @t190 @t189 @t188 (not @t192)))) % 34.01/34.91 (step @p272 :rule chain_m_resolution :premises (@p271 @p195 @p269 @p265 @p253) :args (@t188 @t162 (@list @t150 @t185 @t181 @t192))) % 34.01/34.91 (step @p273 :rule symm :premises (@p272)) % 34.01/34.91 (step @p274 :rule eq-symm :args (@t88 @t60)) % 34.01/34.91 (step @p275 :rule refl :args (@t59)) % 34.01/34.91 (step @p276 :rule nary_cong :premises (@p202 @p275 @p274) :args (@t89)) % 34.01/34.91 (step @p277 :rule cong :premises (@p276) :args (@t90)) % 34.01/34.91 (step @p278 :rule eq_resolve :premises (@p118 @p277)) % 34.01/34.91 (step @p279 :rule instantiate :premises (@p278) :args ((@list tptp.sk6 tptp.sk9))) % 34.01/34.91 (step @p280 :rule cnf_or_pos :args (@t195)) % 34.01/34.91 (step @p281 :rule reordering :premises (@p280) :args ((or @t158 @t191 @t194 (not @t195)))) % 34.01/34.91 (step @p282 :rule chain_m_resolution :premises (@p281 @p192 @p195 @p279) :args (@t194 @t176 (@list @t147 @t150 @t195))) % 34.01/34.91 (step @p283 :rule instantiate :premises (@p146) :args ((@list tptp.sk8 @t152 tptp.sk7))) % 34.01/34.91 (step @p284 :rule cnf_or_pos :args (@t198)) % 34.01/34.91 (step @p285 :rule reordering :premises (@p284) :args ((or @t178 @t183 @t179 @t197 (not @t198)))) % 34.01/34.91 (step @p286 :rule chain_m_resolution :premises (@p285 @p193 @p194 @p259 @p283) :args (@t197 @t162 (@list @t148 @t149 @t173 @t198))) % 34.01/34.91 (step @p287 :rule symm :premises (@p286)) % 34.01/34.91 (step @p288 :rule instantiate :premises (@p278) :args ((@list tptp.sk5 tptp.sk8))) % 34.01/34.91 (step @p289 :rule cnf_or_pos :args (@t201)) % 34.01/34.91 (step @p290 :rule reordering :premises (@p289) :args ((or @t159 @t183 @t200 (not @t201)))) % 34.01/34.91 (step @p291 :rule chain_m_resolution :premises (@p290 @p191 @p194 @p288) :args (@t200 @t176 (@list @t146 @t149 @t201))) % 34.01/34.91 (step @p292 :rule refl :args (tptp.sk7)) % 34.01/34.91 (step @p293 :rule cong :premises (@p292 @p291) :args (@t202)) % 34.01/34.91 (step @p294 :rule trans :premises (@p293 @p287)) % 34.01/34.91 (step @p295 :rule cong :premises (@p294 @p282) :args (@t203)) % 34.01/34.91 (step @p296 :rule trans :premises (@p295 @p273)) % 34.01/34.91 (step @p297 :rule cong :premises (@p296) :args (@t204)) % 34.01/34.91 (step @p298 :rule trans :premises (@p297 @p252)) % 34.01/34.91 (step @p299 :rule true_elim :premises (@p298)) % 34.01/34.91 (step @p300 :rule cong :premises (@p248) :args (@t144)) % 34.01/34.91 (step @p301 :rule eq_resolve :premises (@p183 @p300)) % 34.01/34.91 (step @p302 :rule true_intro :premises (@p301)) % 34.01/34.91 (step @p303 :rule cong :premises (@p296) :args (@t205)) % 34.01/34.91 (step @p304 :rule trans :premises (@p303 @p302)) % 34.01/34.91 (step @p305 :rule true_elim :premises (@p304)) % 34.01/34.91 (step @p306 :rule cnf_or_pos :args (@t209)) % 34.01/34.91 (step @p307 :rule reordering :premises (@p306) :args ((or @t159 @t158 @t178 @t183 @t191 @t206 @t207 @t208 (not @t209)))) % 34.01/34.91 (step @p308 :rule chain_m_resolution :premises (@p307 @p191 @p192 @p193 @p194 @p195 @p305 @p299 @p245) :args (@t206 (@list false false false false false false false false) (@list @t146 @t147 @t148 @t149 @t150 @t205 @t204 @t209))) % 34.01/34.91 (step @p309 :rule cnf_or_pos :args (@t213)) % 34.01/34.91 (step @p310 :rule reordering :premises (@p309) :args ((or @t159 @t158 @t210 @t212 @t211 (not @t213)))) % 34.01/34.91 (step @p311 :rule chain_m_resolution :premises (@p310 @p191 @p192 @p308 @p212 @p208) :args (@t210 (@list false false false false false) (@list @t146 @t147 @t206 @t157 @t213))) % 34.01/34.91 (step @p312 :rule symm :premises (@p311)) % 34.01/34.91 (step @p313 :rule refl :args (tptp.sk6)) % 34.01/34.91 (step @p314 :rule cong :premises (@p313 @p312) :args (@t214)) % 34.01/34.91 (step @p315 :rule instantiate :premises (@p63) :args ((@list tptp.sk6))) % 34.01/34.91 (step @p316 :rule cnf_or_pos :args (@t216)) % 34.01/34.91 (step @p317 :rule reordering :premises (@p316) :args ((or @t158 @t215 (not @t216)))) % 34.01/34.91 (step @p318 :rule chain_m_resolution :premises (@p317 @p192 @p315) :args (@t215 (@list false false) (@list @t147 @t216))) % 34.01/34.91 (step @p319 :rule false_intro :premises (@p318)) % 34.01/34.91 (step @p320 :rule symm :premises (@p319)) % 34.01/34.91 (step @p321 :rule trans :premises (@p320 @p314 @p199)) % 34.01/34.91 (step @p322 false :rule eq_resolve :premises (@p321 @p198)) % 34.01/34.91 ) % 34.01/34.91 % SZS output end Proof % 34.01/34.91 % cvc5 exiting %------------------------------------------------------------------------------