%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC384-1 : 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 : n001.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 08:59:06 AM UTC 2026 % Result : Unsatisfiable 0.40s 0.71s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWC384-1 : 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 % 0.16/0.35 % Computer : n001.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:45:50 EDT 2026 % 0.16/0.36 % CPUTime : % 0.32/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.71 % SZS status Unsatisfiable % 0.40/0.71 % SZS output start Proof % 0.40/0.72 ( % 0.40/0.72 (declare-sort $$unsorted 0) % 0.40/0.72 (declare-const tptp.sk6 $$unsorted) % 0.40/0.72 (declare-const tptp.sk5 $$unsorted) % 0.40/0.72 (declare-const tptp.sk4 $$unsorted) % 0.40/0.72 (declare-const tptp.sk2 $$unsorted) % 0.40/0.72 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.nil $$unsorted) % 0.40/0.72 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.sk1 $$unsorted) % 0.40/0.72 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.skac2 $$unsorted) % 0.40/0.72 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.sk3 $$unsorted) % 0.40/0.72 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skac3 $$unsorted) % 0.40/0.72 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.sk7 $$unsorted) % 0.40/0.72 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.40/0.72 (define @t1 () (@var "U" $$unsorted)) % 0.40/0.72 (define @t2 () (tptp.skaf83 @t1)) % 0.40/0.72 (define @t3 () (@list @t1)) % 0.40/0.72 (define @t4 () (tptp.skaf82 @t1)) % 0.40/0.72 (define @t5 () (tptp.skaf81 @t1)) % 0.40/0.72 (define @t6 () (tptp.skaf80 @t1)) % 0.40/0.72 (define @t7 () (tptp.skaf79 @t1)) % 0.40/0.72 (define @t8 () (tptp.skaf78 @t1)) % 0.40/0.72 (define @t9 () (tptp.skaf77 @t1)) % 0.40/0.72 (define @t10 () (tptp.skaf76 @t1)) % 0.40/0.72 (define @t11 () (tptp.skaf75 @t1)) % 0.40/0.72 (define @t12 () (tptp.skaf74 @t1)) % 0.40/0.72 (define @t13 () (tptp.skaf73 @t1)) % 0.40/0.72 (define @t14 () (tptp.skaf72 @t1)) % 0.40/0.72 (define @t15 () (tptp.skaf71 @t1)) % 0.40/0.72 (define @t16 () (tptp.skaf70 @t1)) % 0.40/0.72 (define @t17 () (tptp.skaf69 @t1)) % 0.40/0.72 (define @t18 () (tptp.skaf68 @t1)) % 0.40/0.72 (define @t19 () (tptp.skaf67 @t1)) % 0.40/0.72 (define @t20 () (tptp.skaf66 @t1)) % 0.40/0.72 (define @t21 () (tptp.skaf65 @t1)) % 0.40/0.72 (define @t22 () (tptp.skaf64 @t1)) % 0.40/0.72 (define @t23 () (tptp.skaf63 @t1)) % 0.40/0.72 (define @t24 () (tptp.skaf62 @t1)) % 0.40/0.72 (define @t25 () (tptp.skaf61 @t1)) % 0.40/0.72 (define @t26 () (tptp.skaf60 @t1)) % 0.40/0.72 (define @t27 () (tptp.skaf59 @t1)) % 0.40/0.72 (define @t28 () (tptp.skaf58 @t1)) % 0.40/0.72 (define @t29 () (tptp.skaf57 @t1)) % 0.40/0.72 (define @t30 () (tptp.skaf56 @t1)) % 0.40/0.72 (define @t31 () (tptp.skaf55 @t1)) % 0.40/0.72 (define @t32 () (tptp.skaf54 @t1)) % 0.40/0.72 (define @t33 () (tptp.skaf53 @t1)) % 0.40/0.72 (define @t34 () (tptp.skaf52 @t1)) % 0.40/0.72 (define @t35 () (tptp.skaf51 @t1)) % 0.40/0.72 (define @t36 () (tptp.skaf50 @t1)) % 0.40/0.72 (define @t37 () (tptp.skaf49 @t1)) % 0.40/0.72 (define @t38 () (tptp.skaf44 @t1)) % 0.40/0.72 (define @t39 () (@var "V" $$unsorted)) % 0.40/0.72 (define @t40 () (@list @t1 @t39)) % 0.40/0.72 (define @t41 () (tptp.skaf47 @t1 @t39)) % 0.40/0.72 (define @t42 () (tptp.skaf46 @t1 @t39)) % 0.40/0.72 (define @t43 () (tptp.skaf45 @t1 @t39)) % 0.40/0.72 (define @t44 () (tptp.skaf42 @t1 @t39)) % 0.40/0.72 (define @t45 () (not (tptp.ssItem @t1))) % 0.40/0.72 (define @t46 () (not (tptp.ssList @t1))) % 0.40/0.72 (define @t47 () (tptp.cons @t1 tptp.nil)) % 0.40/0.72 (define @t48 () (tptp.ssItem @t39)) % 0.40/0.72 (define @t49 () (tptp.duplicatefreeP @t1)) % 0.40/0.72 (define @t50 () (= tptp.nil @t1)) % 0.40/0.72 (define @t51 () (tptp.tl @t1)) % 0.40/0.72 (define @t52 () (tptp.hd @t1)) % 0.40/0.72 (define @t53 () (tptp.segmentP tptp.nil @t1)) % 0.40/0.72 (define @t54 () (not @t50)) % 0.40/0.72 (define @t55 () (tptp.rearsegP tptp.nil @t1)) % 0.40/0.72 (define @t56 () (tptp.frontsegP tptp.nil @t1)) % 0.40/0.72 (define @t57 () (tptp.app @t39 @t1)) % 0.40/0.72 (define @t58 () (not (tptp.ssList @t39))) % 0.40/0.72 (define @t59 () (tptp.cons @t1 @t39)) % 0.40/0.72 (define @t60 () (tptp.cyclefreeP @t1)) % 0.40/0.72 (define @t61 () (tptp.equalelemsP @t1)) % 0.40/0.72 (define @t62 () (tptp.strictorderedP @t1)) % 0.40/0.72 (define @t63 () (tptp.totalorderedP @t1)) % 0.40/0.72 (define @t64 () (tptp.strictorderP @t1)) % 0.40/0.72 (define @t65 () (tptp.totalorderP @t1)) % 0.40/0.72 (define @t66 () (= @t39 @t1)) % 0.40/0.72 (define @t67 () (tptp.neq @t39 @t1)) % 0.40/0.72 (define @t68 () (not @t48)) % 0.40/0.72 (define @t69 () (tptp.leq @t1 @t39)) % 0.40/0.72 (define @t70 () (tptp.lt @t1 @t39)) % 0.40/0.72 (define @t71 () (not @t70)) % 0.40/0.72 (define @t72 () (tptp.lt @t39 @t1)) % 0.40/0.72 (define @t73 () (not (tptp.gt @t1 @t39))) % 0.40/0.72 (define @t74 () (tptp.gt @t39 @t1)) % 0.40/0.72 (define @t75 () (tptp.leq @t39 @t1)) % 0.40/0.72 (define @t76 () (not (tptp.geq @t1 @t39))) % 0.40/0.72 (define @t77 () (tptp.geq @t39 @t1)) % 0.40/0.72 (define @t78 () (not @t69)) % 0.40/0.72 (define @t79 () (= @t1 @t39)) % 0.40/0.72 (define @t80 () (not @t79)) % 0.40/0.72 (define @t81 () (tptp.cons @t39 @t1)) % 0.40/0.72 (define @t82 () (not (tptp.neq @t1 @t39))) % 0.40/0.72 (define @t83 () (or @t80 @t82 @t58 @t46)) % 0.40/0.72 (define @t84 () (forall @t40 @t83)) % 0.40/0.72 (define @t85 () (tptp.singletonP @t39)) % 0.40/0.72 (define @t86 () (not (= @t47 @t39))) % 0.40/0.72 (define @t87 () (or @t86 @t45 @t58 @t85)) % 0.40/0.72 (define @t88 () (forall @t40 @t87)) % 0.40/0.72 (define @t89 () (tptp.app @t1 @t39)) % 0.40/0.72 (define @t90 () (= @t89 tptp.nil)) % 0.40/0.72 (define @t91 () (not @t90)) % 0.40/0.72 (define @t92 () (= tptp.nil @t39)) % 0.40/0.72 (define @t93 () (tptp.hd @t39)) % 0.40/0.72 (define @t94 () (tptp.strictorderedP @t39)) % 0.40/0.72 (define @t95 () (tptp.strictorderedP @t59)) % 0.40/0.72 (define @t96 () (not @t95)) % 0.40/0.72 (define @t97 () (tptp.totalorderedP @t39)) % 0.40/0.72 (define @t98 () (tptp.totalorderedP @t59)) % 0.40/0.72 (define @t99 () (not @t98)) % 0.40/0.72 (define @t100 () (not (tptp.segmentP @t1 @t39))) % 0.40/0.72 (define @t101 () (not (tptp.rearsegP @t1 @t39))) % 0.40/0.72 (define @t102 () (not (tptp.frontsegP @t1 @t39))) % 0.40/0.72 (define @t103 () (not @t75)) % 0.40/0.72 (define @t104 () (tptp.tl @t39)) % 0.40/0.72 (define @t105 () (tptp.lt @t1 @t93)) % 0.40/0.72 (define @t106 () (tptp.leq @t1 @t93)) % 0.40/0.72 (define @t107 () (@var "W" $$unsorted)) % 0.40/0.72 (define @t108 () (tptp.app @t107 @t1)) % 0.40/0.72 (define @t109 () (not (tptp.ssList @t107))) % 0.40/0.72 (define @t110 () (@list @t1 @t39 @t107)) % 0.40/0.72 (define @t111 () (tptp.app @t1 @t107)) % 0.40/0.72 (define @t112 () (tptp.cons @t39 @t107)) % 0.40/0.72 (define @t113 () (tptp.cons @t107 @t1)) % 0.40/0.72 (define @t114 () (not (tptp.ssItem @t107))) % 0.40/0.72 (define @t115 () (not (tptp.memberP @t1 @t39))) % 0.40/0.72 (define @t116 () (not (= @t89 @t107))) % 0.40/0.72 (define @t117 () (tptp.lt @t1 @t107)) % 0.40/0.72 (define @t118 () (not (tptp.lt @t39 @t107))) % 0.40/0.72 (define @t119 () (tptp.app @t107 @t39)) % 0.40/0.72 (define @t120 () (= @t39 @t107)) % 0.40/0.72 (define @t121 () (= @t1 @t107)) % 0.40/0.72 (define @t122 () (tptp.memberP @t39 @t107)) % 0.40/0.72 (define @t123 () (@var "X" $$unsorted)) % 0.40/0.72 (define @t124 () (not (tptp.ssList @t123))) % 0.40/0.72 (define @t125 () (tptp.cons @t107 @t123)) % 0.40/0.72 (define @t126 () (not (= @t59 @t125))) % 0.40/0.72 (define @t127 () (@list @t1 @t39 @t107 @t123)) % 0.40/0.72 (define @t128 () (tptp.segmentP @t123 @t39)) % 0.40/0.72 (define @t129 () (tptp.app @t89 @t107)) % 0.40/0.72 (define @t130 () (not (= @t129 @t123))) % 0.40/0.72 (define @t131 () (or @t130 @t109 @t46 @t58 @t124 @t128)) % 0.40/0.72 (define @t132 () (forall @t127 @t131)) % 0.40/0.72 (define @t133 () (not (tptp.frontsegP @t59 @t125))) % 0.40/0.72 (define @t134 () (tptp.app @t1 @t112)) % 0.40/0.72 (define @t135 () (not (tptp.ssItem @t123))) % 0.40/0.72 (define @t136 () (@var "Y" $$unsorted)) % 0.40/0.72 (define @t137 () (not (tptp.ssList @t136))) % 0.40/0.72 (define @t138 () (@list @t1 @t39 @t107 @t123 @t136)) % 0.40/0.72 (define @t139 () (tptp.lt @t39 @t123)) % 0.40/0.72 (define @t140 () (@var "Z" $$unsorted)) % 0.40/0.72 (define @t141 () (not (tptp.ssList @t140))) % 0.40/0.72 (define @t142 () (not (= (tptp.app @t134 (tptp.cons @t123 @t136)) @t140))) % 0.40/0.72 (define @t143 () (@list @t1 @t39 @t107 @t123 @t136 @t140)) % 0.40/0.72 (define @t144 () (tptp.leq @t39 @t123)) % 0.40/0.72 (define @t145 () (tptp.ssList tptp.sk1)) % 0.40/0.72 (define @t146 () (tptp.ssList tptp.sk2)) % 0.40/0.72 (define @t147 () (tptp.ssList tptp.sk3)) % 0.40/0.72 (define @t148 () (= tptp.sk2 tptp.sk4)) % 0.40/0.72 (define @t149 () (= tptp.sk1 tptp.sk3)) % 0.40/0.72 (define @t150 () (tptp.neq tptp.sk2 tptp.nil)) % 0.40/0.72 (define @t151 () (= tptp.nil tptp.sk4)) % 0.40/0.72 (define @t152 () (tptp.ssItem tptp.sk5)) % 0.40/0.72 (define @t153 () (= tptp.nil tptp.sk3)) % 0.40/0.72 (define @t154 () (tptp.ssList tptp.sk6)) % 0.40/0.72 (define @t155 () (tptp.ssList tptp.sk7)) % 0.40/0.72 (define @t156 () (tptp.cons tptp.sk5 tptp.nil)) % 0.40/0.72 (define @t157 () (= @t156 tptp.sk3)) % 0.40/0.72 (define @t158 () (or @t157 @t151)) % 0.40/0.72 (define @t159 () (tptp.app (tptp.app tptp.sk6 tptp.sk3) tptp.sk7)) % 0.40/0.72 (define @t160 () (= @t159 tptp.sk4)) % 0.40/0.72 (define @t161 () (or @t160 @t151)) % 0.40/0.72 (define @t162 () (@var "A" $$unsorted)) % 0.40/0.72 (define @t163 () (not (tptp.lt tptp.sk5 @t162))) % 0.40/0.72 (define @t164 () (not (tptp.memberP tptp.sk6 @t162))) % 0.40/0.72 (define @t165 () (not (tptp.ssItem @t162))) % 0.40/0.72 (define @t166 () (@list @t162)) % 0.40/0.72 (define @t167 () (not (tptp.lt @t162 tptp.sk5))) % 0.40/0.72 (define @t168 () (not (tptp.memberP tptp.sk7 @t162))) % 0.40/0.72 (define @t169 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 0.40/0.72 (define @t170 () (tptp.singletonP tptp.sk1)) % 0.40/0.72 (define @t171 () (not (tptp.neq @t39 @t39))) % 0.40/0.72 (define @t172 () (not (= @t39 @t39))) % 0.40/0.72 (define @t173 () (or @t172 @t171 @t58 @t58)) % 0.40/0.72 (define @t174 () (@list @t39)) % 0.40/0.72 (define @t175 () (or @t80 @t80 @t82 @t58 @t46)) % 0.40/0.72 (define @t176 () (forall @t3 @t83)) % 0.40/0.72 (define @t177 () (forall @t174 @t176)) % 0.40/0.72 (define @t178 () (forall (@list @t39 @t1) @t83)) % 0.40/0.72 (define @t179 () (not @t146)) % 0.40/0.72 (define @t180 () (tptp.neq tptp.sk2 tptp.sk2)) % 0.40/0.72 (define @t181 () (not @t180)) % 0.40/0.72 (define @t182 () (or @t181 @t179)) % 0.40/0.72 (define @t183 () (= tptp.sk3 @t156)) % 0.40/0.72 (define @t184 () (= tptp.sk4 @t159)) % 0.40/0.72 (define @t185 () (tptp.ssList @t156)) % 0.40/0.72 (define @t186 () (and @t145 @t149 @t183)) % 0.40/0.72 (define @t187 () (tptp.ssList @t159)) % 0.40/0.72 (define @t188 () (and @t146 @t148 @t184)) % 0.40/0.72 (define @t189 () (tptp.singletonP @t47)) % 0.40/0.72 (define @t190 () (not (tptp.ssList @t47))) % 0.40/0.72 (define @t191 () (not (= @t47 @t47))) % 0.40/0.72 (define @t192 () (or @t191 @t45 @t190 @t189)) % 0.40/0.72 (define @t193 () (not (= @t39 @t47))) % 0.40/0.72 (define @t194 () (or @t193 @t193 @t45 @t58 @t85)) % 0.40/0.72 (define @t195 () (or @t193 @t45 @t58 @t85)) % 0.40/0.72 (define @t196 () (forall @t174 @t195)) % 0.40/0.72 (define @t197 () (forall @t3 @t196)) % 0.40/0.72 (define @t198 () (tptp.singletonP @t156)) % 0.40/0.72 (define @t199 () (not @t185)) % 0.40/0.72 (define @t200 () (not @t152)) % 0.40/0.72 (define @t201 () (or @t200 @t199 @t198)) % 0.40/0.72 (define @t202 () (tptp.segmentP @t129 @t39)) % 0.40/0.72 (define @t203 () (not (tptp.ssList @t129))) % 0.40/0.72 (define @t204 () (not (= @t129 @t129))) % 0.40/0.72 (define @t205 () (or @t204 @t109 @t46 @t58 @t203 @t202)) % 0.40/0.72 (define @t206 () (not (= @t123 @t129))) % 0.40/0.72 (define @t207 () (or @t206 @t206 @t109 @t46 @t58 @t124 @t128)) % 0.40/0.72 (define @t208 () (@list @t123)) % 0.40/0.72 (define @t209 () (or @t206 @t109 @t46 @t58 @t124 @t128)) % 0.40/0.72 (define @t210 () (forall @t208 @t209)) % 0.40/0.72 (define @t211 () (forall @t110 @t210)) % 0.40/0.72 (define @t212 () (tptp.segmentP @t159 tptp.sk3)) % 0.40/0.72 (define @t213 () (not @t187)) % 0.40/0.72 (define @t214 () (not @t147)) % 0.40/0.72 (define @t215 () (not @t154)) % 0.40/0.72 (define @t216 () (not @t155)) % 0.40/0.72 (define @t217 () (or @t216 @t215 @t214 @t213 @t212)) % 0.40/0.72 (define @t218 () (and @t149 @t183 @t198)) % 0.40/0.72 (define @t219 () (not @t149)) % 0.40/0.72 (define @t220 () (and @t148 @t149 @t184 @t212)) % 0.40/0.72 (define @t221 () (not @t148)) % 0.40/0.72 (define @t222 () (not @t151)) % 0.40/0.72 (define @t223 () (not @t150)) % 0.40/0.72 (define @t224 () (and @t150 @t151 @t148 @t181)) % 0.40/0.72 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.40/0.72 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.40/0.72 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.40/0.72 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.40/0.72 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.40/0.72 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.40/0.72 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.40/0.72 (assume @p8 (tptp.ssList tptp.nil)) % 0.40/0.72 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.40/0.72 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.40/0.72 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.40/0.72 (assume @p12 (forall @t3 (tptp.ssItem @t2))) % 0.40/0.72 (assume @p13 (forall @t3 (tptp.ssList @t4))) % 0.40/0.72 (assume @p14 (forall @t3 (tptp.ssList @t5))) % 0.40/0.72 (assume @p15 (forall @t3 (tptp.ssList @t6))) % 0.40/0.72 (assume @p16 (forall @t3 (tptp.ssItem @t7))) % 0.40/0.72 (assume @p17 (forall @t3 (tptp.ssItem @t8))) % 0.40/0.72 (assume @p18 (forall @t3 (tptp.ssList @t9))) % 0.40/0.72 (assume @p19 (forall @t3 (tptp.ssList @t10))) % 0.40/0.72 (assume @p20 (forall @t3 (tptp.ssList @t11))) % 0.40/0.72 (assume @p21 (forall @t3 (tptp.ssItem @t12))) % 0.40/0.72 (assume @p22 (forall @t3 (tptp.ssList @t13))) % 0.40/0.72 (assume @p23 (forall @t3 (tptp.ssList @t14))) % 0.40/0.72 (assume @p24 (forall @t3 (tptp.ssList @t15))) % 0.40/0.72 (assume @p25 (forall @t3 (tptp.ssItem @t16))) % 0.40/0.72 (assume @p26 (forall @t3 (tptp.ssItem @t17))) % 0.40/0.72 (assume @p27 (forall @t3 (tptp.ssList @t18))) % 0.40/0.72 (assume @p28 (forall @t3 (tptp.ssList @t19))) % 0.40/0.72 (assume @p29 (forall @t3 (tptp.ssList @t20))) % 0.40/0.72 (assume @p30 (forall @t3 (tptp.ssItem @t21))) % 0.40/0.72 (assume @p31 (forall @t3 (tptp.ssItem @t22))) % 0.40/0.72 (assume @p32 (forall @t3 (tptp.ssList @t23))) % 0.40/0.72 (assume @p33 (forall @t3 (tptp.ssList @t24))) % 0.40/0.72 (assume @p34 (forall @t3 (tptp.ssList @t25))) % 0.40/0.72 (assume @p35 (forall @t3 (tptp.ssItem @t26))) % 0.40/0.72 (assume @p36 (forall @t3 (tptp.ssItem @t27))) % 0.40/0.72 (assume @p37 (forall @t3 (tptp.ssList @t28))) % 0.40/0.72 (assume @p38 (forall @t3 (tptp.ssList @t29))) % 0.40/0.72 (assume @p39 (forall @t3 (tptp.ssList @t30))) % 0.40/0.72 (assume @p40 (forall @t3 (tptp.ssItem @t31))) % 0.40/0.72 (assume @p41 (forall @t3 (tptp.ssItem @t32))) % 0.40/0.72 (assume @p42 (forall @t3 (tptp.ssList @t33))) % 0.40/0.72 (assume @p43 (forall @t3 (tptp.ssList @t34))) % 0.40/0.72 (assume @p44 (forall @t3 (tptp.ssList @t35))) % 0.40/0.72 (assume @p45 (forall @t3 (tptp.ssItem @t36))) % 0.40/0.72 (assume @p46 (forall @t3 (tptp.ssItem @t37))) % 0.40/0.72 (assume @p47 (forall @t3 (tptp.ssItem @t38))) % 0.40/0.72 (assume @p48 (forall @t40 (tptp.ssList (tptp.skaf48 @t1 @t39)))) % 0.40/0.72 (assume @p49 (forall @t40 (tptp.ssList @t41))) % 0.40/0.72 (assume @p50 (forall @t40 (tptp.ssList @t42))) % 0.40/0.72 (assume @p51 (forall @t40 (tptp.ssList @t43))) % 0.40/0.72 (assume @p52 (forall @t40 (tptp.ssList (tptp.skaf43 @t1 @t39)))) % 0.40/0.72 (assume @p53 (forall @t40 (tptp.ssList @t44))) % 0.40/0.72 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.40/0.72 (assume @p55 (forall @t3 (or @t45 (tptp.geq @t1 @t1)))) % 0.40/0.72 (assume @p56 (forall @t3 (or @t46 (tptp.segmentP @t1 tptp.nil)))) % 0.40/0.72 (assume @p57 (forall @t3 (or @t46 (tptp.segmentP @t1 @t1)))) % 0.40/0.72 (assume @p58 (forall @t3 (or @t46 (tptp.rearsegP @t1 tptp.nil)))) % 0.40/0.72 (assume @p59 (forall @t3 (or @t46 (tptp.rearsegP @t1 @t1)))) % 0.40/0.72 (assume @p60 (forall @t3 (or @t46 (tptp.frontsegP @t1 tptp.nil)))) % 0.40/0.72 (assume @p61 (forall @t3 (or @t46 (tptp.frontsegP @t1 @t1)))) % 0.40/0.72 (assume @p62 (forall @t3 (or @t45 (tptp.leq @t1 @t1)))) % 0.40/0.72 (assume @p63 (forall @t3 (or (not (tptp.lt @t1 @t1)) @t45))) % 0.40/0.72 (assume @p64 (forall @t3 (or @t45 (tptp.equalelemsP @t47)))) % 0.40/0.72 (assume @p65 (forall @t3 (or @t45 (tptp.duplicatefreeP @t47)))) % 0.40/0.72 (assume @p66 (forall @t3 (or @t45 (tptp.strictorderedP @t47)))) % 0.40/0.72 (assume @p67 (forall @t3 (or @t45 (tptp.totalorderedP @t47)))) % 0.40/0.72 (assume @p68 (forall @t3 (or @t45 (tptp.strictorderP @t47)))) % 0.40/0.72 (assume @p69 (forall @t3 (or @t45 (tptp.totalorderP @t47)))) % 0.40/0.72 (assume @p70 (forall @t3 (or @t45 (tptp.cyclefreeP @t47)))) % 0.40/0.72 (assume @p71 (forall @t3 (or (not (tptp.memberP tptp.nil @t1)) @t45))) % 0.40/0.72 (assume @p72 (forall @t40 (or @t46 @t49 @t48))) % 0.40/0.72 (assume @p73 (forall @t3 (or @t46 (= (tptp.app @t1 tptp.nil) @t1)))) % 0.40/0.72 (assume @p74 (forall @t3 (or @t46 (= (tptp.app tptp.nil @t1) @t1)))) % 0.40/0.72 (assume @p75 (forall @t3 (or @t46 (tptp.ssList @t51) @t50))) % 0.40/0.72 (assume @p76 (forall @t3 (or @t46 (tptp.ssItem @t52) @t50))) % 0.40/0.72 (assume @p77 (forall @t3 (or @t54 @t46 @t53))) % 0.40/0.72 (assume @p78 (forall @t3 (or (not @t53) @t46 @t50))) % 0.40/0.72 (assume @p79 (forall @t3 (or @t54 @t46 @t55))) % 0.40/0.72 (assume @p80 (forall @t3 (or (not @t55) @t46 @t50))) % 0.40/0.72 (assume @p81 (forall @t3 (or @t54 @t46 @t56))) % 0.40/0.72 (assume @p82 (forall @t3 (or (not @t56) @t46 @t50))) % 0.40/0.72 (assume @p83 (forall @t40 (or @t46 @t58 (tptp.ssList @t57)))) % 0.40/0.72 (assume @p84 (forall @t40 (or @t45 @t58 (tptp.ssList @t59)))) % 0.40/0.72 (assume @p85 (forall @t3 (or @t46 @t60 (tptp.leq @t36 @t37)))) % 0.40/0.72 (assume @p86 (forall @t3 (or @t46 @t60 (tptp.leq @t37 @t36)))) % 0.40/0.72 (assume @p87 (forall @t3 (or (not (= @t7 @t8)) @t46 @t61))) % 0.40/0.72 (assume @p88 (forall @t3 (or (not (tptp.lt @t17 @t16)) @t46 @t62))) % 0.40/0.72 (assume @p89 (forall @t3 (or (not (tptp.leq @t22 @t21)) @t46 @t63))) % 0.40/0.72 (assume @p90 (forall @t3 (or (not (tptp.lt @t26 @t27)) @t46 @t64))) % 0.40/0.72 (assume @p91 (forall @t3 (or (not (tptp.lt @t27 @t26)) @t46 @t64))) % 0.40/0.72 (assume @p92 (forall @t3 (or (not (tptp.leq @t31 @t32)) @t46 @t65))) % 0.40/0.72 (assume @p93 (forall @t3 (or (not (tptp.leq @t32 @t31)) @t46 @t65))) % 0.40/0.72 (assume @p94 (forall @t40 (or @t45 @t58 (= (tptp.tl @t59) @t39)))) % 0.40/0.72 (assume @p95 (forall @t40 (or @t45 @t58 (= (tptp.hd @t59) @t1)))) % 0.40/0.72 (assume @p96 (forall @t40 (or (not (= @t59 tptp.nil)) @t45 @t58))) % 0.40/0.72 (assume @p97 (forall @t40 (or (not (= @t59 @t39)) @t45 @t58))) % 0.40/0.72 (assume @p98 (forall @t40 (or @t46 @t58 @t67 @t66))) % 0.40/0.72 (assume @p99 (forall @t3 (or (not (tptp.singletonP @t1)) @t46 (= (tptp.cons @t38 tptp.nil) @t1)))) % 0.40/0.72 (assume @p100 (forall @t40 (or @t45 @t68 @t67 @t66))) % 0.40/0.72 (assume @p101 (forall @t40 (or @t71 @t68 @t45 @t69))) % 0.40/0.72 (assume @p102 (forall @t3 (or @t46 (= (tptp.cons @t52 @t51) @t1) @t50))) % 0.40/0.72 (assume @p103 (forall @t40 (or @t73 @t68 @t45 @t72))) % 0.40/0.72 (assume @p104 (forall @t40 (or @t71 @t45 @t68 @t74))) % 0.40/0.72 (assume @p105 (forall @t40 (or @t76 @t68 @t45 @t75))) % 0.40/0.72 (assume @p106 (forall @t40 (or @t78 @t45 @t68 @t77))) % 0.40/0.72 (assume @p107 (forall @t3 (or @t46 (= (tptp.cons @t2 @t4) @t1) @t50))) % 0.40/0.72 (assume @p108 (forall @t40 (or @t73 (not @t74) @t45 @t68))) % 0.40/0.72 (assume @p109 (forall @t40 (or @t80 @t71 @t68 @t45))) % 0.40/0.72 (assume @p110 (forall @t40 (or @t54 @t46 @t68 (tptp.strictorderedP @t81)))) % 0.40/0.72 (assume @p111 (forall @t40 (or @t54 @t46 @t68 (tptp.totalorderedP @t81)))) % 0.40/0.72 (assume @p112 (forall @t40 (or @t71 (not @t72) @t45 @t68))) % 0.40/0.72 (assume @p113 @t84) % 0.40/0.72 (assume @p114 @t88) % 0.40/0.72 (assume @p115 (forall @t40 (or @t80 @t82 @t68 @t45))) % 0.40/0.72 (assume @p116 (forall @t40 (or @t91 @t58 @t46 @t50))) % 0.40/0.72 (assume @p117 (forall @t40 (or @t91 @t58 @t46 @t92))) % 0.40/0.72 (assume @p118 (forall @t40 (or @t45 @t58 (= (tptp.app @t47 @t39) @t59)))) % 0.40/0.72 (assume @p119 (forall @t40 (or @t78 @t68 @t45 @t70 @t79))) % 0.40/0.72 (assume @p120 (forall @t40 (or @t46 @t58 @t92 (= (tptp.hd @t57) @t93)))) % 0.40/0.72 (assume @p121 (forall @t40 (or @t96 @t58 @t45 @t94 @t92))) % 0.40/0.72 (assume @p122 (forall @t40 (or @t99 @t58 @t45 @t97 @t92))) % 0.40/0.72 (assume @p123 (forall @t40 (or @t76 (not @t77) @t45 @t68 @t66))) % 0.40/0.72 (assume @p124 (forall @t40 (or @t100 (not (tptp.segmentP @t39 @t1)) @t46 @t58 @t66))) % 0.40/0.72 (assume @p125 (forall @t40 (or @t101 (not (tptp.rearsegP @t39 @t1)) @t46 @t58 @t66))) % 0.40/0.72 (assume @p126 (forall @t40 (or @t102 (not (tptp.frontsegP @t39 @t1)) @t46 @t58 @t66))) % 0.40/0.72 (assume @p127 (forall @t40 (or @t78 @t103 @t45 @t68 @t66))) % 0.40/0.72 (assume @p128 (forall @t40 (or @t101 @t58 @t46 (= (tptp.app @t42 @t39) @t1)))) % 0.40/0.72 (assume @p129 (forall @t40 (or @t102 @t58 @t46 (= (tptp.app @t39 @t43) @t1)))) % 0.40/0.72 (assume @p130 (forall @t40 (or @t46 @t58 @t92 (= (tptp.tl @t57) (tptp.app @t104 @t1))))) % 0.40/0.72 (assume @p131 (forall @t40 (or @t96 @t58 @t45 @t105 @t92))) % 0.40/0.72 (assume @p132 (forall @t40 (or @t99 @t58 @t45 @t106 @t92))) % 0.40/0.72 (assume @p133 (forall @t110 (or @t101 @t109 @t58 @t46 (tptp.rearsegP @t108 @t39)))) % 0.40/0.72 (assume @p134 (forall @t110 (or @t102 @t109 @t58 @t46 (tptp.frontsegP @t111 @t39)))) % 0.40/0.72 (assume @p135 (forall @t110 (or @t80 @t109 @t68 @t45 (tptp.memberP @t112 @t1)))) % 0.40/0.72 (assume @p136 (forall @t110 (or @t115 @t46 @t114 @t68 (tptp.memberP @t113 @t39)))) % 0.40/0.72 (assume @p137 (forall @t110 (or @t115 @t109 @t46 @t68 (tptp.memberP @t111 @t39)))) % 0.40/0.72 (assume @p138 (forall @t110 (or @t115 @t46 @t109 @t68 (tptp.memberP @t108 @t39)))) % 0.40/0.72 (assume @p139 (forall @t3 (or @t46 @t61 (= (tptp.app @t6 (tptp.cons @t8 (tptp.cons @t7 @t5))) @t1)))) % 0.40/0.72 (assume @p140 (forall @t110 (or @t116 @t46 @t58 @t109 (tptp.rearsegP @t107 @t39)))) % 0.40/0.72 (assume @p141 (forall @t110 (or @t116 @t58 @t46 @t109 (tptp.frontsegP @t107 @t1)))) % 0.40/0.72 (assume @p142 (forall @t40 (or @t54 (not @t92) @t58 @t46 @t90))) % 0.40/0.72 (assume @p143 (forall @t110 (or @t73 (not (tptp.gt @t39 @t107)) @t114 @t68 @t45 (tptp.gt @t1 @t107)))) % 0.40/0.72 (assume @p144 (forall @t110 (or @t78 @t118 @t114 @t68 @t45 @t117))) % 0.40/0.72 (assume @p145 (forall @t110 (or @t76 (not (tptp.geq @t39 @t107)) @t114 @t68 @t45 (tptp.geq @t1 @t107)))) % 0.40/0.72 (assume @p146 (forall @t110 (or @t46 @t58 @t109 (= (tptp.app @t119 @t1) (tptp.app @t107 @t57))))) % 0.40/0.72 (assume @p147 (forall @t110 (or (not (= @t89 @t111)) @t58 @t46 @t109 @t120))) % 0.40/0.72 (assume @p148 (forall @t110 (or (not (= @t89 @t119)) @t46 @t58 @t109 @t121))) % 0.40/0.72 (assume @p149 (forall @t110 (or @t100 (not (tptp.segmentP @t39 @t107)) @t109 @t58 @t46 (tptp.segmentP @t1 @t107)))) % 0.40/0.72 (assume @p150 (forall @t110 (or @t101 (not (tptp.rearsegP @t39 @t107)) @t109 @t58 @t46 (tptp.rearsegP @t1 @t107)))) % 0.40/0.72 (assume @p151 (forall @t110 (or @t102 (not (tptp.frontsegP @t39 @t107)) @t109 @t58 @t46 (tptp.frontsegP @t1 @t107)))) % 0.40/0.72 (assume @p152 (forall @t110 (or @t71 @t118 @t114 @t68 @t45 @t117))) % 0.40/0.72 (assume @p153 (forall @t110 (or @t78 (not (tptp.leq @t39 @t107)) @t114 @t68 @t45 (tptp.leq @t1 @t107)))) % 0.40/0.72 (assume @p154 (forall @t110 (or @t45 @t58 @t109 (= (tptp.cons @t1 (tptp.app @t39 @t107)) (tptp.app @t59 @t107))))) % 0.40/0.72 (assume @p155 (forall @t110 (or (not (tptp.memberP @t89 @t107)) @t58 @t46 @t114 @t122 (tptp.memberP @t1 @t107)))) % 0.40/0.72 (assume @p156 (forall @t40 (or (not @t106) (not @t97) @t58 @t45 @t98 @t92))) % 0.40/0.72 (assume @p157 (forall @t40 (or (not @t105) (not @t94) @t58 @t45 @t95 @t92))) % 0.40/0.72 (assume @p158 (forall @t110 (or (not (tptp.memberP @t59 @t107)) @t58 @t45 @t114 @t122 (= @t107 @t1)))) % 0.40/0.72 (assume @p159 (forall @t3 (or @t46 @t49 (= (tptp.app (tptp.app @t11 (tptp.cons @t12 @t10)) (tptp.cons @t12 @t9)) @t1)))) % 0.40/0.72 (assume @p160 (forall @t3 (or @t46 @t62 (= (tptp.app (tptp.app @t15 (tptp.cons @t17 @t14)) (tptp.cons @t16 @t13)) @t1)))) % 0.40/0.72 (assume @p161 (forall @t3 (or @t46 @t63 (= (tptp.app (tptp.app @t20 (tptp.cons @t22 @t19)) (tptp.cons @t21 @t18)) @t1)))) % 0.40/0.72 (assume @p162 (forall @t3 (or @t46 @t64 (= (tptp.app (tptp.app @t25 (tptp.cons @t27 @t24)) (tptp.cons @t26 @t23)) @t1)))) % 0.40/0.72 (assume @p163 (forall @t3 (or @t46 @t65 (= (tptp.app (tptp.app @t30 (tptp.cons @t32 @t29)) (tptp.cons @t31 @t28)) @t1)))) % 0.40/0.72 (assume @p164 (forall @t3 (or @t46 @t60 (= (tptp.app (tptp.app @t35 (tptp.cons @t37 @t34)) (tptp.cons @t36 @t33)) @t1)))) % 0.40/0.72 (assume @p165 (forall @t40 (or @t100 @t58 @t46 (= (tptp.app (tptp.app @t41 @t39) (tptp.skaf48 @t39 @t1)) @t1)))) % 0.40/0.72 (assume @p166 (forall @t40 (or @t115 @t68 @t46 (= (tptp.app @t44 (tptp.cons @t39 (tptp.skaf43 @t39 @t1))) @t1)))) % 0.40/0.72 (assume @p167 (forall @t127 (or @t126 @t114 @t45 @t124 @t58 @t121))) % 0.40/0.72 (assume @p168 (forall @t127 (or @t126 @t114 @t45 @t124 @t58 (= @t123 @t39)))) % 0.40/0.72 (assume @p169 (forall @t127 (or @t100 @t109 @t124 @t58 @t46 (tptp.segmentP (tptp.app (tptp.app @t123 @t1) @t107) @t39)))) % 0.40/0.72 (assume @p170 @t132) % 0.40/0.72 (assume @p171 (forall @t127 (or @t133 @t124 @t58 @t114 @t45 (tptp.frontsegP @t39 @t123)))) % 0.40/0.72 (assume @p172 (forall @t127 (or (not (= @t134 @t123)) @t109 @t46 @t68 @t124 (tptp.memberP @t123 @t39)))) % 0.40/0.72 (assume @p173 (forall @t127 (or @t133 @t124 @t58 @t114 @t45 @t121))) % 0.40/0.72 (assume @p174 (forall @t40 (or (not (= @t51 @t104)) (not (= @t52 @t93)) @t46 @t58 @t92 @t79 @t50))) % 0.40/0.72 (assume @p175 (forall @t127 (or @t102 (not (= @t107 @t123)) @t58 @t46 @t135 @t114 (tptp.frontsegP @t113 (tptp.cons @t123 @t39))))) % 0.40/0.72 (assume @p176 (forall @t138 (or (not (= (tptp.app @t134 (tptp.cons @t39 @t123)) @t136)) @t124 @t109 @t46 @t68 (not (tptp.duplicatefreeP @t136)) @t137))) % 0.40/0.72 (assume @p177 (forall @t138 (or (not (= (tptp.app @t1 (tptp.cons @t39 @t125)) @t136)) @t124 @t46 @t114 @t68 (not (tptp.equalelemsP @t136)) @t137 @t120))) % 0.40/0.72 (assume @p178 (forall @t143 (or @t142 @t137 @t109 @t46 @t135 @t68 (not (tptp.strictorderedP @t140)) @t141 @t139))) % 0.40/0.72 (assume @p179 (forall @t143 (or @t142 @t137 @t109 @t46 @t135 @t68 (not (tptp.totalorderedP @t140)) @t141 @t144))) % 0.40/0.72 (assume @p180 (forall @t143 (or @t142 @t137 @t109 @t46 @t135 @t68 (not (tptp.strictorderP @t140)) @t141 @t139 (tptp.lt @t123 @t39)))) % 0.40/0.72 (assume @p181 (forall @t143 (or @t142 @t137 @t109 @t46 @t135 @t68 (not (tptp.totalorderP @t140)) @t141 @t144 (tptp.leq @t123 @t39)))) % 0.40/0.72 (assume @p182 (forall @t143 (or @t78 @t103 (not (= (tptp.app (tptp.app @t107 (tptp.cons @t1 @t123)) (tptp.cons @t39 @t136)) @t140)) @t137 @t124 @t109 @t68 @t45 (not (tptp.cyclefreeP @t140)) @t141))) % 0.40/0.72 (assume @p183 @t145) % 0.40/0.72 (assume @p184 @t146) % 0.40/0.72 (assume @p185 @t147) % 0.40/0.72 (assume @p186 (tptp.ssList tptp.sk4)) % 0.40/0.72 (assume @p187 @t148) % 0.40/0.72 (assume @p188 @t149) % 0.40/0.72 (assume @p189 @t150) % 0.40/0.72 (assume @p190 (or @t152 @t151)) % 0.40/0.72 (assume @p191 (or @t152 @t153)) % 0.40/0.72 (assume @p192 (or @t154 @t151)) % 0.40/0.72 (assume @p193 (or @t155 @t151)) % 0.40/0.72 (assume @p194 @t158) % 0.40/0.72 (assume @p195 @t161) % 0.40/0.72 (assume @p196 (forall @t166 (or @t165 @t164 @t163 @t151))) % 0.40/0.72 (assume @p197 (forall @t166 (or @t165 @t168 @t167 @t151))) % 0.40/0.72 (assume @p198 (or @t154 @t153)) % 0.40/0.72 (assume @p199 (or @t155 @t153)) % 0.40/0.72 (assume @p200 (or @t157 @t153)) % 0.40/0.72 (assume @p201 (or @t160 @t153)) % 0.40/0.72 (assume @p202 (forall @t166 (or @t165 @t164 @t163 @t153))) % 0.40/0.72 (assume @p203 (forall @t166 (or @t165 @t168 @t167 @t153))) % 0.40/0.72 (assume @p204 (or (not @t170) (not @t169))) % 0.40/0.72 (step @p205 :rule aci_norm :args ((= (or false @t171 @t58 @t58) (or @t171 @t58)))) % 0.40/0.72 (step @p206 :rule refl :args (@t58)) % 0.40/0.72 (step @p207 :rule refl :args (@t171)) % 0.40/0.72 (step @p208 :rule evaluate :args ((not true))) % 0.40/0.72 (step @p209 :rule eq-refl :args (@t39)) % 0.40/0.72 (step @p210 :rule cong :premises (@p209) :args (@t172)) % 0.40/0.72 (step @p211 :rule trans :premises (@p210 @p208)) % 0.40/0.72 (step @p212 :rule nary_cong :premises (@p211 @p207 @p206 @p206) :args (@t173)) % 0.40/0.72 (step @p213 :rule trans :premises (@p212 @p205)) % 0.40/0.72 (step @p214 :rule cong :premises (@p213) :args ((forall @t174 @t173))) % 0.40/0.72 (step @p215 :rule quant-var-elim-eq :args ((= (forall @t3 @t175) @t173))) % 0.40/0.72 (step @p216 :rule aci_norm :args ((= @t83 @t175))) % 0.40/0.72 (step @p217 :rule cong :premises (@p216) :args (@t176)) % 0.40/0.72 (step @p218 :rule trans :premises (@p217 @p215)) % 0.40/0.72 (step @p219 :rule cong :premises (@p218) :args (@t177)) % 0.40/0.72 (step @p220 :rule quant-merge-prenex :args ((= @t177 @t178))) % 0.40/0.72 (step @p221 :rule symm :premises (@p220)) % 0.40/0.72 (step @p222 :rule quant_var_reordering :args ((= @t84 @t178))) % 0.40/0.72 (step @p223 :rule trans :premises (@p222 @p221 @p219)) % 0.40/0.72 (step @p224 :rule trans :premises (@p223 @p214)) % 0.40/0.72 (step @p225 :rule eq_resolve :premises (@p113 @p224)) % 0.40/0.72 (step @p226 :rule instantiate :premises (@p225) :args ((@list tptp.sk2))) % 0.40/0.72 (step @p227 :rule cnf_or_pos :args (@t182)) % 0.40/0.72 (step @p228 :rule reordering :premises (@p227) :args ((or @t179 @t181 (not @t182)))) % 0.40/0.72 (step @p229 :rule chain_m_resolution :premises (@p228 @p184 @p226) :args (@t181 (@list false false) (@list @t146 @t182))) % 0.40/0.72 (step @p230 :rule reordering :premises (@p192) :args ((or @t151 @t154))) % 0.40/0.72 (step @p231 :rule reordering :premises (@p193) :args ((or @t151 @t155))) % 0.40/0.72 (step @p232 :rule refl :args (@t151)) % 0.40/0.72 (step @p233 :rule eq-symm :args (@t156 tptp.sk3)) % 0.40/0.72 (step @p234 :rule nary_cong :premises (@p233 @p232) :args (@t158)) % 0.40/0.72 (step @p235 :rule eq_resolve :premises (@p194 @p234)) % 0.40/0.72 (step @p236 :rule reordering :premises (@p235) :args ((or @t151 @t183))) % 0.40/0.72 (step @p237 :rule eq-symm :args (@t159 tptp.sk4)) % 0.40/0.72 (step @p238 :rule nary_cong :premises (@p237 @p232) :args (@t161)) % 0.40/0.72 (step @p239 :rule eq_resolve :premises (@p195 @p238)) % 0.40/0.72 (step @p240 :rule reordering :premises (@p239) :args ((or @t151 @t184))) % 0.40/0.72 (assume-push @p450 @t145) % 0.40/0.72 (assume-push @p451 @t149) % 0.40/0.72 (assume-push @p452 @t183) % 0.40/0.72 (assume-push @p453 @t145) % 0.40/0.72 (assume-push @p454 @t149) % 0.40/0.72 (assume-push @p455 @t183) % 0.40/0.72 (step @p247 :rule true_intro :premises (@p183)) % 0.40/0.72 (step @p248 :rule symm :premises (@p188)) % 0.40/0.72 (step @p249 :rule symm :premises (@p452)) % 0.40/0.72 (step @p250 :rule trans :premises (@p249 @p248)) % 0.40/0.72 (step @p251 :rule cong :premises (@p250) :args (@t185)) % 0.40/0.72 (step @p252 :rule trans :premises (@p251 @p247)) % 0.40/0.72 (step @p253 :rule true_elim :premises (@p252)) % 0.40/0.72 (step-pop @p456 :rule scope :premises (@p253)) % 0.40/0.72 (step-pop @p457 :rule scope :premises (@p456)) % 0.40/0.72 (step-pop @p458 :rule scope :premises (@p457)) % 0.40/0.72 (step @p254 :rule process_scope :premises (@p458) :args (@t185)) % 0.40/0.72 (step @p258 :rule and_intro :premises (@p183 @p188 @p452)) % 0.40/0.72 (step @p259 :rule modus_ponens :premises (@p258 @p254)) % 0.40/0.72 (step-pop @p459 :rule scope :premises (@p259)) % 0.40/0.72 (step-pop @p460 :rule scope :premises (@p459)) % 0.40/0.72 (step-pop @p461 :rule scope :premises (@p460)) % 0.40/0.72 (step @p260 :rule process_scope :premises (@p461) :args (@t185)) % 0.40/0.72 (step @p264 :rule implies_elim :premises (@p260)) % 0.40/0.72 (step @p265 :rule cnf_and_neg :args (@t186)) % 0.40/0.72 (step @p266 :rule resolution :premises (@p265 @p264) :args (true @t186)) % 0.40/0.72 (assume-push @p462 @t146) % 0.40/0.72 (assume-push @p463 @t148) % 0.40/0.72 (assume-push @p464 @t184) % 0.40/0.72 (assume-push @p465 @t146) % 0.40/0.72 (assume-push @p466 @t148) % 0.40/0.72 (assume-push @p467 @t184) % 0.40/0.72 (step @p273 :rule true_intro :premises (@p184)) % 0.40/0.72 (step @p274 :rule symm :premises (@p187)) % 0.40/0.72 (step @p275 :rule symm :premises (@p464)) % 0.40/0.72 (step @p276 :rule trans :premises (@p275 @p274)) % 0.40/0.72 (step @p277 :rule cong :premises (@p276) :args (@t187)) % 0.40/0.72 (step @p278 :rule trans :premises (@p277 @p273)) % 0.40/0.72 (step @p279 :rule true_elim :premises (@p278)) % 0.40/0.72 (step-pop @p468 :rule scope :premises (@p279)) % 0.40/0.72 (step-pop @p469 :rule scope :premises (@p468)) % 0.40/0.72 (step-pop @p470 :rule scope :premises (@p469)) % 0.40/0.72 (step @p280 :rule process_scope :premises (@p470) :args (@t187)) % 0.40/0.72 (step @p284 :rule and_intro :premises (@p184 @p187 @p464)) % 0.40/0.72 (step @p285 :rule modus_ponens :premises (@p284 @p280)) % 0.40/0.72 (step-pop @p471 :rule scope :premises (@p285)) % 0.40/0.72 (step-pop @p472 :rule scope :premises (@p471)) % 0.40/0.72 (step-pop @p473 :rule scope :premises (@p472)) % 0.40/0.72 (step @p286 :rule process_scope :premises (@p473) :args (@t187)) % 0.40/0.72 (step @p290 :rule implies_elim :premises (@p286)) % 0.40/0.72 (step @p291 :rule cnf_and_neg :args (@t188)) % 0.40/0.72 (step @p292 :rule resolution :premises (@p291 @p290) :args (true @t188)) % 0.40/0.72 (step @p293 :rule aci_norm :args ((= (or false @t45 @t190 @t189) (or @t45 @t190 @t189)))) % 0.40/0.72 (step @p294 :rule refl :args (@t189)) % 0.40/0.72 (step @p295 :rule refl :args (@t190)) % 0.40/0.72 (step @p296 :rule refl :args (@t45)) % 0.40/0.72 (step @p297 :rule eq-refl :args (@t47)) % 0.40/0.72 (step @p298 :rule cong :premises (@p297) :args (@t191)) % 0.40/0.72 (step @p299 :rule trans :premises (@p298 @p208)) % 0.40/0.72 (step @p300 :rule nary_cong :premises (@p299 @p296 @p295 @p294) :args (@t192)) % 0.40/0.72 (step @p301 :rule trans :premises (@p300 @p293)) % 0.40/0.72 (step @p302 :rule cong :premises (@p301) :args ((forall @t3 @t192))) % 0.40/0.72 (step @p303 :rule quant-var-elim-eq :args ((= (forall @t174 @t194) @t192))) % 0.40/0.72 (step @p304 :rule aci_norm :args ((= @t195 @t194))) % 0.40/0.72 (step @p305 :rule cong :premises (@p304) :args (@t196)) % 0.40/0.72 (step @p306 :rule trans :premises (@p305 @p303)) % 0.40/0.72 (step @p307 :rule cong :premises (@p306) :args (@t197)) % 0.40/0.72 (step @p308 :rule quant-merge-prenex :args ((= @t197 (forall @t40 @t195)))) % 0.40/0.72 (step @p309 :rule symm :premises (@p308)) % 0.40/0.72 (step @p310 :rule trans :premises (@p309 @p307)) % 0.40/0.72 (step @p311 :rule trans :premises (@p310 @p302)) % 0.40/0.72 (step @p312 :rule refl :args (@t85)) % 0.40/0.72 (step @p313 :rule eq-symm :args (@t47 @t39)) % 0.40/0.72 (step @p314 :rule cong :premises (@p313) :args (@t86)) % 0.40/0.72 (step @p315 :rule nary_cong :premises (@p314 @p296 @p206 @p312) :args (@t87)) % 0.40/0.72 (step @p316 :rule cong :premises (@p315) :args (@t88)) % 0.40/0.72 (step @p317 :rule trans :premises (@p316 @p311)) % 0.40/0.72 (step @p318 :rule eq_resolve :premises (@p114 @p317)) % 0.40/0.72 (step @p319 :rule instantiate :premises (@p318) :args ((@list tptp.sk5))) % 0.40/0.72 (step @p320 :rule cnf_or_pos :args (@t201)) % 0.40/0.72 (step @p321 :rule reordering :premises (@p320) :args ((or @t200 @t199 @t198 (not @t201)))) % 0.40/0.72 (step @p322 :rule aci_norm :args ((= (or false @t109 @t46 @t58 @t203 @t202) (or @t109 @t46 @t58 @t203 @t202)))) % 0.40/0.72 (step @p323 :rule refl :args (@t202)) % 0.40/0.72 (step @p324 :rule refl :args (@t203)) % 0.40/0.72 (step @p325 :rule refl :args (@t46)) % 0.40/0.72 (step @p326 :rule refl :args (@t109)) % 0.40/0.72 (step @p327 :rule eq-refl :args (@t129)) % 0.40/0.72 (step @p328 :rule cong :premises (@p327) :args (@t204)) % 0.40/0.72 (step @p329 :rule trans :premises (@p328 @p208)) % 0.40/0.72 (step @p330 :rule nary_cong :premises (@p329 @p326 @p325 @p206 @p324 @p323) :args (@t205)) % 0.40/0.72 (step @p331 :rule trans :premises (@p330 @p322)) % 0.40/0.72 (step @p332 :rule cong :premises (@p331) :args ((forall @t110 @t205))) % 0.40/0.72 (step @p333 :rule quant-var-elim-eq :args ((= (forall @t208 @t207) @t205))) % 0.40/0.72 (step @p334 :rule aci_norm :args ((= @t209 @t207))) % 0.40/0.72 (step @p335 :rule cong :premises (@p334) :args (@t210)) % 0.40/0.72 (step @p336 :rule trans :premises (@p335 @p333)) % 0.40/0.72 (step @p337 :rule cong :premises (@p336) :args (@t211)) % 0.40/0.72 (step @p338 :rule quant-merge-prenex :args ((= @t211 (forall @t127 @t209)))) % 0.40/0.72 (step @p339 :rule symm :premises (@p338)) % 0.40/0.72 (step @p340 :rule trans :premises (@p339 @p337)) % 0.40/0.72 (step @p341 :rule trans :premises (@p340 @p332)) % 0.40/0.72 (step @p342 :rule refl :args (@t128)) % 0.40/0.72 (step @p343 :rule refl :args (@t124)) % 0.40/0.72 (step @p344 :rule eq-symm :args (@t129 @t123)) % 0.40/0.72 (step @p345 :rule cong :premises (@p344) :args (@t130)) % 0.40/0.72 (step @p346 :rule nary_cong :premises (@p345 @p326 @p325 @p206 @p343 @p342) :args (@t131)) % 0.40/0.72 (step @p347 :rule cong :premises (@p346) :args (@t132)) % 0.40/0.72 (step @p348 :rule trans :premises (@p347 @p341)) % 0.40/0.72 (step @p349 :rule eq_resolve :premises (@p170 @p348)) % 0.40/0.72 (step @p350 :rule instantiate :premises (@p349) :args ((@list tptp.sk6 tptp.sk3 tptp.sk7))) % 0.40/0.72 (step @p351 :rule cnf_or_pos :args (@t217)) % 0.40/0.72 (step @p352 :rule reordering :premises (@p351) :args ((or @t214 @t215 @t216 @t213 @t212 (not @t217)))) % 0.40/0.72 (assume-push @p474 @t149) % 0.40/0.72 (assume-push @p475 @t183) % 0.40/0.72 (assume-push @p476 @t198) % 0.40/0.72 (assume-push @p477 @t198) % 0.40/0.72 (assume-push @p478 @t183) % 0.40/0.72 (assume-push @p479 @t149) % 0.40/0.72 (step @p359 :rule true_intro :premises (@p476)) % 0.40/0.72 (step @p360 :rule trans :premises (@p188 @p475)) % 0.40/0.72 (step @p361 :rule cong :premises (@p360) :args (@t170)) % 0.40/0.72 (step @p362 :rule trans :premises (@p361 @p359)) % 0.40/0.72 (step @p363 :rule true_elim :premises (@p362)) % 0.40/0.72 (step-pop @p480 :rule scope :premises (@p363)) % 0.40/0.72 (step-pop @p481 :rule scope :premises (@p480)) % 0.40/0.72 (step-pop @p482 :rule scope :premises (@p481)) % 0.40/0.72 (step @p364 :rule process_scope :premises (@p482) :args (@t170)) % 0.40/0.72 (step @p368 :rule and_intro :premises (@p476 @p475 @p188)) % 0.40/0.72 (step @p369 :rule modus_ponens :premises (@p368 @p364)) % 0.40/0.72 (step-pop @p483 :rule scope :premises (@p369)) % 0.40/0.72 (step-pop @p484 :rule scope :premises (@p483)) % 0.40/0.72 (step-pop @p485 :rule scope :premises (@p484)) % 0.40/0.72 (step @p370 :rule process_scope :premises (@p485) :args (@t170)) % 0.40/0.72 (step @p374 :rule implies_elim :premises (@p370)) % 0.40/0.72 (step @p375 :rule cnf_and_neg :args (@t218)) % 0.40/0.72 (step @p376 :rule resolution :premises (@p375 @p374) :args (true @t218)) % 0.40/0.72 (step @p377 :rule reordering :premises (@p376) :args ((or @t170 @t219 (not @t183) (not @t198)))) % 0.40/0.72 (assume-push @p486 @t148) % 0.40/0.72 (assume-push @p487 @t149) % 0.40/0.72 (assume-push @p488 @t184) % 0.40/0.72 (assume-push @p489 @t212) % 0.40/0.72 (assume-push @p490 @t212) % 0.40/0.72 (assume-push @p491 @t149) % 0.40/0.72 (assume-push @p492 @t184) % 0.40/0.72 (assume-push @p493 @t148) % 0.40/0.72 (step @p386 :rule true_intro :premises (@p489)) % 0.40/0.72 (step @p387 :rule refl :args (@t159)) % 0.40/0.72 (step @p388 :rule cong :premises (@p387 @p188) :args ((tptp.segmentP @t159 tptp.sk1))) % 0.40/0.72 (step @p389 :rule refl :args (tptp.sk1)) % 0.40/0.72 (step @p390 :rule trans :premises (@p187 @p488)) % 0.40/0.72 (step @p391 :rule cong :premises (@p390 @p389) :args (@t169)) % 0.40/0.72 (step @p392 :rule trans :premises (@p391 @p388 @p386)) % 0.40/0.72 (step @p393 :rule true_elim :premises (@p392)) % 0.40/0.72 (step-pop @p494 :rule scope :premises (@p393)) % 0.40/0.72 (step-pop @p495 :rule scope :premises (@p494)) % 0.40/0.72 (step-pop @p496 :rule scope :premises (@p495)) % 0.40/0.72 (step-pop @p497 :rule scope :premises (@p496)) % 0.40/0.72 (step @p394 :rule process_scope :premises (@p497) :args (@t169)) % 0.40/0.72 (step @p399 :rule and_intro :premises (@p489 @p188 @p488 @p187)) % 0.40/0.72 (step @p400 :rule modus_ponens :premises (@p399 @p394)) % 0.40/0.72 (step-pop @p498 :rule scope :premises (@p400)) % 0.40/0.72 (step-pop @p499 :rule scope :premises (@p498)) % 0.40/0.72 (step-pop @p500 :rule scope :premises (@p499)) % 0.40/0.72 (step-pop @p501 :rule scope :premises (@p500)) % 0.40/0.72 (step @p401 :rule process_scope :premises (@p501) :args (@t169)) % 0.40/0.72 (step @p406 :rule implies_elim :premises (@p401)) % 0.40/0.72 (step @p407 :rule cnf_and_neg :args (@t220)) % 0.40/0.72 (step @p408 :rule resolution :premises (@p407 @p406) :args (true @t220)) % 0.40/0.72 (step @p409 :rule reordering :premises (@p408) :args ((or @t169 @t221 @t219 (not @t184) (not @t212)))) % 0.40/0.72 (step @p410 :rule chain_m_resolution :premises (@p204 @p409 @p188 @p187 @p377 @p188 @p352 @p350 @p185 @p321 @p319 @p292 @p187 @p184 @p266 @p188 @p183 @p240 @p236 @p231 @p230 @p190) :args (@t151 (@list false false false false false false false false false false false false false false false false false false false false false) (@list @t169 @t149 @t148 @t170 @t149 @t212 @t217 @t147 @t198 @t201 @t187 @t148 @t146 @t185 @t149 @t145 @t184 @t183 @t155 @t154 @t152))) % 0.40/0.72 (step @p411 :rule bool-double-not-elim :args (@t180)) % 0.40/0.72 (step @p412 :rule refl :args (@t222)) % 0.40/0.72 (step @p413 :rule refl :args (@t223)) % 0.40/0.72 (step @p414 :rule refl :args (@t221)) % 0.40/0.72 (step @p415 :rule nary_cong :premises (@p414 @p413 @p412 @p411) :args ((or @t221 @t223 @t222 (not @t181)))) % 0.40/0.72 (assume-push @p502 @t150) % 0.40/0.72 (assume-push @p503 @t151) % 0.40/0.72 (assume-push @p504 @t148) % 0.40/0.72 (assume-push @p505 @t181) % 0.40/0.72 (step @p420 :rule evaluate :args ((= false true))) % 0.40/0.72 (step @p421 :rule true_intro :premises (@p189)) % 0.40/0.72 (step @p422 :rule symm :premises (@p503)) % 0.40/0.72 (step @p423 :rule trans :premises (@p187 @p422)) % 0.40/0.72 (step @p424 :rule refl :args (tptp.sk2)) % 0.40/0.72 (step @p425 :rule cong :premises (@p424 @p423) :args (@t180)) % 0.40/0.72 (step @p426 :rule false_intro :premises (@p229)) % 0.40/0.72 (step @p427 :rule symm :premises (@p426)) % 0.40/0.72 (step @p428 :rule trans :premises (@p427 @p425 @p421)) % 0.40/0.72 (step @p429 false :rule eq_resolve :premises (@p428 @p420)) % 0.40/0.72 (step-pop @p506 :rule scope :premises (@p429)) % 0.40/0.72 (step-pop @p507 :rule scope :premises (@p506)) % 0.40/0.72 (step-pop @p508 :rule scope :premises (@p507)) % 0.40/0.72 (step-pop @p509 :rule scope :premises (@p508)) % 0.40/0.72 (step @p430 :rule process_scope :premises (@p509) :args (false)) % 0.40/0.72 (assume-push @p510 @t148) % 0.40/0.72 (assume-push @p511 @t150) % 0.40/0.72 (assume-push @p512 @t151) % 0.40/0.72 (assume-push @p513 @t181) % 0.40/0.72 (step @p439 :rule and_intro :premises (@p189 @p512 @p187 @p229)) % 0.40/0.72 (step-pop @p514 :rule scope :premises (@p439)) % 0.40/0.72 (step-pop @p515 :rule scope :premises (@p514)) % 0.40/0.72 (step-pop @p516 :rule scope :premises (@p515)) % 0.40/0.72 (step-pop @p517 :rule scope :premises (@p516)) % 0.40/0.72 (step @p440 :rule process_scope :premises (@p517) :args (@t224)) % 0.40/0.72 (step @p445 :rule implies_elim :premises (@p440)) % 0.40/0.72 (step @p446 :rule resolution :premises (@p445 @p430) :args (true @t224)) % 0.40/0.72 (step @p447 :rule not_and :premises (@p446)) % 0.40/0.72 (step @p448 :rule eq_resolve :premises (@p447 @p415)) % 0.40/0.72 (step @p449 false :rule chain_m_resolution :premises (@p448 @p410 @p229 @p189 @p187) :args (false (@list false true false false) (@list @t151 @t180 @t150 @t148))) % 0.40/0.72 ) % 0.40/0.72 % SZS output end Proof % 0.40/0.72 % cvc5 exiting %------------------------------------------------------------------------------