%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC242-1 : 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 : n008.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 08:58:34 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.90s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC242-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:31:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.90 % SZS status Unsatisfiable % 0.39/0.90 % SZS output start Proof % 0.39/0.91 ( % 0.39/0.91 (declare-sort $$unsorted 0) % 0.39/0.91 (declare-const tptp.sk8 $$unsorted) % 0.39/0.91 (declare-const tptp.sk7 $$unsorted) % 0.39/0.91 (declare-const tptp.sk6 $$unsorted) % 0.39/0.91 (declare-const tptp.sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.sk4 $$unsorted) % 0.39/0.91 (declare-const tptp.sk2 $$unsorted) % 0.39/0.91 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.nil $$unsorted) % 0.39/0.91 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.sk1 $$unsorted) % 0.39/0.91 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skac2 $$unsorted) % 0.39/0.91 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.sk3 $$unsorted) % 0.39/0.91 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skac3 $$unsorted) % 0.39/0.91 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (define @t1 () (@var "U" $$unsorted)) % 0.39/0.91 (define @t2 () (tptp.skaf83 @t1)) % 0.39/0.91 (define @t3 () (@list @t1)) % 0.39/0.91 (define @t4 () (tptp.skaf82 @t1)) % 0.39/0.91 (define @t5 () (tptp.skaf81 @t1)) % 0.39/0.91 (define @t6 () (tptp.skaf80 @t1)) % 0.39/0.91 (define @t7 () (tptp.skaf79 @t1)) % 0.39/0.91 (define @t8 () (tptp.skaf78 @t1)) % 0.39/0.91 (define @t9 () (tptp.skaf77 @t1)) % 0.39/0.91 (define @t10 () (tptp.skaf76 @t1)) % 0.39/0.91 (define @t11 () (tptp.skaf75 @t1)) % 0.39/0.91 (define @t12 () (tptp.skaf74 @t1)) % 0.39/0.91 (define @t13 () (tptp.skaf73 @t1)) % 0.39/0.91 (define @t14 () (tptp.skaf72 @t1)) % 0.39/0.91 (define @t15 () (tptp.skaf71 @t1)) % 0.39/0.91 (define @t16 () (tptp.skaf70 @t1)) % 0.39/0.91 (define @t17 () (tptp.skaf69 @t1)) % 0.39/0.91 (define @t18 () (tptp.skaf68 @t1)) % 0.39/0.91 (define @t19 () (tptp.skaf67 @t1)) % 0.39/0.91 (define @t20 () (tptp.skaf66 @t1)) % 0.39/0.91 (define @t21 () (tptp.skaf65 @t1)) % 0.39/0.91 (define @t22 () (tptp.skaf64 @t1)) % 0.39/0.91 (define @t23 () (tptp.skaf63 @t1)) % 0.39/0.91 (define @t24 () (tptp.skaf62 @t1)) % 0.39/0.91 (define @t25 () (tptp.skaf61 @t1)) % 0.39/0.91 (define @t26 () (tptp.skaf60 @t1)) % 0.39/0.91 (define @t27 () (tptp.skaf59 @t1)) % 0.39/0.91 (define @t28 () (tptp.skaf58 @t1)) % 0.39/0.91 (define @t29 () (tptp.skaf57 @t1)) % 0.39/0.91 (define @t30 () (tptp.skaf56 @t1)) % 0.39/0.91 (define @t31 () (tptp.skaf55 @t1)) % 0.39/0.91 (define @t32 () (tptp.skaf54 @t1)) % 0.39/0.91 (define @t33 () (tptp.skaf53 @t1)) % 0.39/0.91 (define @t34 () (tptp.skaf52 @t1)) % 0.39/0.91 (define @t35 () (tptp.skaf51 @t1)) % 0.39/0.91 (define @t36 () (tptp.skaf50 @t1)) % 0.39/0.91 (define @t37 () (tptp.skaf49 @t1)) % 0.39/0.91 (define @t38 () (tptp.skaf44 @t1)) % 0.39/0.91 (define @t39 () (@var "V" $$unsorted)) % 0.39/0.91 (define @t40 () (@list @t1 @t39)) % 0.39/0.91 (define @t41 () (tptp.skaf47 @t1 @t39)) % 0.39/0.91 (define @t42 () (tptp.skaf46 @t1 @t39)) % 0.39/0.91 (define @t43 () (tptp.skaf45 @t1 @t39)) % 0.39/0.91 (define @t44 () (tptp.skaf42 @t1 @t39)) % 0.39/0.91 (define @t45 () (not (tptp.ssItem @t1))) % 0.39/0.91 (define @t46 () (not (tptp.ssList @t1))) % 0.39/0.91 (define @t47 () (tptp.cons @t1 tptp.nil)) % 0.39/0.91 (define @t48 () (tptp.ssItem @t39)) % 0.39/0.91 (define @t49 () (tptp.duplicatefreeP @t1)) % 0.39/0.91 (define @t50 () (= tptp.nil @t1)) % 0.39/0.91 (define @t51 () (tptp.tl @t1)) % 0.39/0.91 (define @t52 () (tptp.hd @t1)) % 0.39/0.91 (define @t53 () (tptp.segmentP tptp.nil @t1)) % 0.39/0.91 (define @t54 () (not @t50)) % 0.39/0.91 (define @t55 () (tptp.rearsegP tptp.nil @t1)) % 0.39/0.91 (define @t56 () (tptp.frontsegP tptp.nil @t1)) % 0.39/0.91 (define @t57 () (tptp.app @t39 @t1)) % 0.39/0.91 (define @t58 () (not (tptp.ssList @t39))) % 0.39/0.91 (define @t59 () (tptp.cons @t1 @t39)) % 0.39/0.91 (define @t60 () (tptp.cyclefreeP @t1)) % 0.39/0.91 (define @t61 () (tptp.equalelemsP @t1)) % 0.39/0.91 (define @t62 () (tptp.strictorderedP @t1)) % 0.39/0.91 (define @t63 () (tptp.totalorderedP @t1)) % 0.39/0.91 (define @t64 () (tptp.strictorderP @t1)) % 0.39/0.91 (define @t65 () (tptp.totalorderP @t1)) % 0.39/0.91 (define @t66 () (= @t39 @t1)) % 0.39/0.91 (define @t67 () (tptp.neq @t39 @t1)) % 0.39/0.91 (define @t68 () (not @t48)) % 0.39/0.91 (define @t69 () (tptp.leq @t1 @t39)) % 0.39/0.91 (define @t70 () (tptp.lt @t1 @t39)) % 0.39/0.91 (define @t71 () (not @t70)) % 0.39/0.91 (define @t72 () (forall @t40 (or @t71 @t68 @t45 @t69))) % 0.39/0.91 (define @t73 () (tptp.lt @t39 @t1)) % 0.39/0.91 (define @t74 () (not (tptp.gt @t1 @t39))) % 0.39/0.91 (define @t75 () (tptp.gt @t39 @t1)) % 0.39/0.91 (define @t76 () (tptp.leq @t39 @t1)) % 0.39/0.91 (define @t77 () (not (tptp.geq @t1 @t39))) % 0.39/0.91 (define @t78 () (tptp.geq @t39 @t1)) % 0.39/0.91 (define @t79 () (not @t69)) % 0.39/0.91 (define @t80 () (= @t1 @t39)) % 0.39/0.91 (define @t81 () (not @t80)) % 0.39/0.91 (define @t82 () (tptp.cons @t39 @t1)) % 0.39/0.91 (define @t83 () (not (tptp.neq @t1 @t39))) % 0.39/0.91 (define @t84 () (tptp.app @t1 @t39)) % 0.39/0.91 (define @t85 () (= @t84 tptp.nil)) % 0.39/0.91 (define @t86 () (not @t85)) % 0.39/0.91 (define @t87 () (= tptp.nil @t39)) % 0.39/0.91 (define @t88 () (tptp.hd @t39)) % 0.39/0.91 (define @t89 () (tptp.strictorderedP @t39)) % 0.39/0.91 (define @t90 () (tptp.strictorderedP @t59)) % 0.39/0.91 (define @t91 () (not @t90)) % 0.39/0.91 (define @t92 () (tptp.totalorderedP @t39)) % 0.39/0.91 (define @t93 () (tptp.totalorderedP @t59)) % 0.39/0.91 (define @t94 () (not @t93)) % 0.39/0.91 (define @t95 () (not (tptp.segmentP @t1 @t39))) % 0.39/0.91 (define @t96 () (not (tptp.rearsegP @t1 @t39))) % 0.39/0.91 (define @t97 () (not (tptp.frontsegP @t1 @t39))) % 0.39/0.91 (define @t98 () (not @t76)) % 0.39/0.91 (define @t99 () (tptp.tl @t39)) % 0.39/0.91 (define @t100 () (tptp.lt @t1 @t88)) % 0.39/0.91 (define @t101 () (tptp.leq @t1 @t88)) % 0.39/0.91 (define @t102 () (@var "W" $$unsorted)) % 0.39/0.91 (define @t103 () (tptp.app @t102 @t1)) % 0.39/0.91 (define @t104 () (not (tptp.ssList @t102))) % 0.39/0.91 (define @t105 () (@list @t1 @t39 @t102)) % 0.39/0.91 (define @t106 () (tptp.app @t1 @t102)) % 0.39/0.91 (define @t107 () (tptp.cons @t39 @t102)) % 0.39/0.91 (define @t108 () (tptp.cons @t102 @t1)) % 0.39/0.91 (define @t109 () (not (tptp.ssItem @t102))) % 0.39/0.91 (define @t110 () (not (tptp.memberP @t1 @t39))) % 0.39/0.91 (define @t111 () (not (= @t84 @t102))) % 0.39/0.91 (define @t112 () (tptp.lt @t1 @t102)) % 0.39/0.91 (define @t113 () (not (tptp.lt @t39 @t102))) % 0.39/0.91 (define @t114 () (tptp.app @t102 @t39)) % 0.39/0.91 (define @t115 () (= @t39 @t102)) % 0.39/0.91 (define @t116 () (= @t1 @t102)) % 0.39/0.91 (define @t117 () (tptp.memberP @t39 @t102)) % 0.39/0.91 (define @t118 () (@var "X" $$unsorted)) % 0.39/0.91 (define @t119 () (not (tptp.ssList @t118))) % 0.39/0.91 (define @t120 () (tptp.cons @t102 @t118)) % 0.39/0.91 (define @t121 () (not (= @t59 @t120))) % 0.39/0.91 (define @t122 () (@list @t1 @t39 @t102 @t118)) % 0.39/0.91 (define @t123 () (not (tptp.frontsegP @t59 @t120))) % 0.39/0.91 (define @t124 () (tptp.app @t1 @t107)) % 0.39/0.91 (define @t125 () (not (tptp.ssItem @t118))) % 0.39/0.91 (define @t126 () (@var "Y" $$unsorted)) % 0.39/0.91 (define @t127 () (not (tptp.ssList @t126))) % 0.39/0.91 (define @t128 () (@list @t1 @t39 @t102 @t118 @t126)) % 0.39/0.91 (define @t129 () (tptp.lt @t39 @t118)) % 0.39/0.91 (define @t130 () (@var "Z" $$unsorted)) % 0.39/0.91 (define @t131 () (not (tptp.ssList @t130))) % 0.39/0.91 (define @t132 () (not (= (tptp.app @t124 (tptp.cons @t118 @t126)) @t130))) % 0.39/0.91 (define @t133 () (@list @t1 @t39 @t102 @t118 @t126 @t130)) % 0.39/0.91 (define @t134 () (tptp.leq @t39 @t118)) % 0.39/0.91 (define @t135 () (@var "A" $$unsorted)) % 0.39/0.91 (define @t136 () (@var "B" $$unsorted)) % 0.39/0.91 (define @t137 () (@var "C" $$unsorted)) % 0.39/0.91 (define @t138 () (tptp.sk5 @t137 @t136 @t135)) % 0.39/0.91 (define @t139 () (tptp.ssItem @t138)) % 0.39/0.91 (define @t140 () (tptp.app (tptp.app @t136 (tptp.cons @t135 tptp.nil)) @t137)) % 0.39/0.91 (define @t141 () (not (= @t140 tptp.sk1))) % 0.39/0.91 (define @t142 () (not (tptp.ssList @t137))) % 0.39/0.91 (define @t143 () (not (tptp.ssList @t136))) % 0.39/0.91 (define @t144 () (not (tptp.ssItem @t135))) % 0.39/0.91 (define @t145 () (or @t144 @t143 @t142 @t141 @t139)) % 0.39/0.91 (define @t146 () (@list @t135 @t136 @t137)) % 0.39/0.91 (define @t147 () (forall @t146 @t145)) % 0.39/0.91 (define @t148 () (tptp.lt @t135 @t138)) % 0.39/0.91 (define @t149 () (or @t144 @t143 @t142 @t141 @t148)) % 0.39/0.91 (define @t150 () (forall @t146 @t149)) % 0.39/0.91 (define @t151 () (not (tptp.leq @t135 @t138))) % 0.39/0.91 (define @t152 () (or @t144 @t143 @t142 @t141 @t151)) % 0.39/0.91 (define @t153 () (forall @t146 @t152)) % 0.39/0.91 (define @t154 () (tptp.ssItem tptp.sk6)) % 0.39/0.91 (define @t155 () (= tptp.nil tptp.sk3)) % 0.39/0.91 (define @t156 () (tptp.ssList tptp.sk7)) % 0.39/0.91 (define @t157 () (tptp.ssList tptp.sk8)) % 0.39/0.91 (define @t158 () (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) % 0.39/0.91 (define @t159 () (or @t155 (= @t158 tptp.sk3))) % 0.39/0.91 (define @t160 () (@list tptp.sk6 tptp.sk7 tptp.sk8)) % 0.39/0.91 (define @t161 () (@list true)) % 0.39/0.91 (define @t162 () (@list @t155)) % 0.39/0.91 (define @t163 () (tptp.sk5 tptp.sk8 tptp.sk7 tptp.sk6)) % 0.39/0.91 (define @t164 () (tptp.lt tptp.sk6 @t163)) % 0.39/0.91 (define @t165 () (= tptp.sk1 @t158)) % 0.39/0.91 (define @t166 () (not @t165)) % 0.39/0.91 (define @t167 () (not @t157)) % 0.39/0.91 (define @t168 () (not @t156)) % 0.39/0.91 (define @t169 () (not @t154)) % 0.39/0.91 (define @t170 () (or @t169 @t168 @t167 @t166 @t164)) % 0.39/0.91 (define @t171 () (@list false false false false false)) % 0.39/0.91 (define @t172 () (tptp.ssItem @t163)) % 0.39/0.91 (define @t173 () (or @t169 @t168 @t167 @t166 @t172)) % 0.39/0.91 (define @t174 () (tptp.leq tptp.sk6 @t163)) % 0.39/0.91 (define @t175 () (not @t174)) % 0.39/0.91 (define @t176 () (or @t169 @t168 @t167 @t166 @t175)) % 0.39/0.91 (define @t177 () (not @t172)) % 0.39/0.91 (define @t178 () (not @t164)) % 0.39/0.91 (define @t179 () (or @t178 @t177 @t169 @t174)) % 0.39/0.91 (define @t180 () (not @t179)) % 0.39/0.91 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.39/0.91 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.39/0.91 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.39/0.91 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.39/0.91 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.39/0.91 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.39/0.91 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.39/0.91 (assume @p8 (tptp.ssList tptp.nil)) % 0.39/0.91 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.39/0.91 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.39/0.91 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.39/0.91 (assume @p12 (forall @t3 (tptp.ssItem @t2))) % 0.39/0.91 (assume @p13 (forall @t3 (tptp.ssList @t4))) % 0.39/0.91 (assume @p14 (forall @t3 (tptp.ssList @t5))) % 0.39/0.91 (assume @p15 (forall @t3 (tptp.ssList @t6))) % 0.39/0.91 (assume @p16 (forall @t3 (tptp.ssItem @t7))) % 0.39/0.91 (assume @p17 (forall @t3 (tptp.ssItem @t8))) % 0.39/0.91 (assume @p18 (forall @t3 (tptp.ssList @t9))) % 0.39/0.91 (assume @p19 (forall @t3 (tptp.ssList @t10))) % 0.39/0.91 (assume @p20 (forall @t3 (tptp.ssList @t11))) % 0.39/0.91 (assume @p21 (forall @t3 (tptp.ssItem @t12))) % 0.39/0.91 (assume @p22 (forall @t3 (tptp.ssList @t13))) % 0.39/0.91 (assume @p23 (forall @t3 (tptp.ssList @t14))) % 0.39/0.91 (assume @p24 (forall @t3 (tptp.ssList @t15))) % 0.39/0.91 (assume @p25 (forall @t3 (tptp.ssItem @t16))) % 0.39/0.91 (assume @p26 (forall @t3 (tptp.ssItem @t17))) % 0.39/0.91 (assume @p27 (forall @t3 (tptp.ssList @t18))) % 0.39/0.91 (assume @p28 (forall @t3 (tptp.ssList @t19))) % 0.39/0.91 (assume @p29 (forall @t3 (tptp.ssList @t20))) % 0.39/0.91 (assume @p30 (forall @t3 (tptp.ssItem @t21))) % 0.39/0.91 (assume @p31 (forall @t3 (tptp.ssItem @t22))) % 0.39/0.91 (assume @p32 (forall @t3 (tptp.ssList @t23))) % 0.39/0.91 (assume @p33 (forall @t3 (tptp.ssList @t24))) % 0.39/0.91 (assume @p34 (forall @t3 (tptp.ssList @t25))) % 0.39/0.91 (assume @p35 (forall @t3 (tptp.ssItem @t26))) % 0.39/0.91 (assume @p36 (forall @t3 (tptp.ssItem @t27))) % 0.39/0.91 (assume @p37 (forall @t3 (tptp.ssList @t28))) % 0.39/0.91 (assume @p38 (forall @t3 (tptp.ssList @t29))) % 0.39/0.91 (assume @p39 (forall @t3 (tptp.ssList @t30))) % 0.39/0.91 (assume @p40 (forall @t3 (tptp.ssItem @t31))) % 0.39/0.91 (assume @p41 (forall @t3 (tptp.ssItem @t32))) % 0.39/0.91 (assume @p42 (forall @t3 (tptp.ssList @t33))) % 0.39/0.91 (assume @p43 (forall @t3 (tptp.ssList @t34))) % 0.39/0.91 (assume @p44 (forall @t3 (tptp.ssList @t35))) % 0.39/0.91 (assume @p45 (forall @t3 (tptp.ssItem @t36))) % 0.39/0.91 (assume @p46 (forall @t3 (tptp.ssItem @t37))) % 0.39/0.91 (assume @p47 (forall @t3 (tptp.ssItem @t38))) % 0.39/0.91 (assume @p48 (forall @t40 (tptp.ssList (tptp.skaf48 @t1 @t39)))) % 0.39/0.91 (assume @p49 (forall @t40 (tptp.ssList @t41))) % 0.39/0.91 (assume @p50 (forall @t40 (tptp.ssList @t42))) % 0.39/0.91 (assume @p51 (forall @t40 (tptp.ssList @t43))) % 0.39/0.91 (assume @p52 (forall @t40 (tptp.ssList (tptp.skaf43 @t1 @t39)))) % 0.39/0.91 (assume @p53 (forall @t40 (tptp.ssList @t44))) % 0.39/0.91 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.39/0.91 (assume @p55 (forall @t3 (or @t45 (tptp.geq @t1 @t1)))) % 0.39/0.91 (assume @p56 (forall @t3 (or @t46 (tptp.segmentP @t1 tptp.nil)))) % 0.39/0.91 (assume @p57 (forall @t3 (or @t46 (tptp.segmentP @t1 @t1)))) % 0.39/0.91 (assume @p58 (forall @t3 (or @t46 (tptp.rearsegP @t1 tptp.nil)))) % 0.39/0.91 (assume @p59 (forall @t3 (or @t46 (tptp.rearsegP @t1 @t1)))) % 0.39/0.91 (assume @p60 (forall @t3 (or @t46 (tptp.frontsegP @t1 tptp.nil)))) % 0.39/0.91 (assume @p61 (forall @t3 (or @t46 (tptp.frontsegP @t1 @t1)))) % 0.39/0.91 (assume @p62 (forall @t3 (or @t45 (tptp.leq @t1 @t1)))) % 0.39/0.91 (assume @p63 (forall @t3 (or (not (tptp.lt @t1 @t1)) @t45))) % 0.39/0.91 (assume @p64 (forall @t3 (or @t45 (tptp.equalelemsP @t47)))) % 0.39/0.91 (assume @p65 (forall @t3 (or @t45 (tptp.duplicatefreeP @t47)))) % 0.39/0.91 (assume @p66 (forall @t3 (or @t45 (tptp.strictorderedP @t47)))) % 0.39/0.91 (assume @p67 (forall @t3 (or @t45 (tptp.totalorderedP @t47)))) % 0.39/0.91 (assume @p68 (forall @t3 (or @t45 (tptp.strictorderP @t47)))) % 0.39/0.91 (assume @p69 (forall @t3 (or @t45 (tptp.totalorderP @t47)))) % 0.39/0.91 (assume @p70 (forall @t3 (or @t45 (tptp.cyclefreeP @t47)))) % 0.39/0.91 (assume @p71 (forall @t3 (or (not (tptp.memberP tptp.nil @t1)) @t45))) % 0.39/0.91 (assume @p72 (forall @t40 (or @t46 @t49 @t48))) % 0.39/0.91 (assume @p73 (forall @t3 (or @t46 (= (tptp.app @t1 tptp.nil) @t1)))) % 0.39/0.91 (assume @p74 (forall @t3 (or @t46 (= (tptp.app tptp.nil @t1) @t1)))) % 0.39/0.91 (assume @p75 (forall @t3 (or @t46 (tptp.ssList @t51) @t50))) % 0.39/0.91 (assume @p76 (forall @t3 (or @t46 (tptp.ssItem @t52) @t50))) % 0.39/0.91 (assume @p77 (forall @t3 (or @t54 @t46 @t53))) % 0.39/0.91 (assume @p78 (forall @t3 (or (not @t53) @t46 @t50))) % 0.39/0.91 (assume @p79 (forall @t3 (or @t54 @t46 @t55))) % 0.39/0.91 (assume @p80 (forall @t3 (or (not @t55) @t46 @t50))) % 0.39/0.91 (assume @p81 (forall @t3 (or @t54 @t46 @t56))) % 0.39/0.91 (assume @p82 (forall @t3 (or (not @t56) @t46 @t50))) % 0.39/0.91 (assume @p83 (forall @t40 (or @t46 @t58 (tptp.ssList @t57)))) % 0.39/0.91 (assume @p84 (forall @t40 (or @t45 @t58 (tptp.ssList @t59)))) % 0.39/0.91 (assume @p85 (forall @t3 (or @t46 @t60 (tptp.leq @t36 @t37)))) % 0.39/0.91 (assume @p86 (forall @t3 (or @t46 @t60 (tptp.leq @t37 @t36)))) % 0.39/0.91 (assume @p87 (forall @t3 (or (not (= @t7 @t8)) @t46 @t61))) % 0.39/0.91 (assume @p88 (forall @t3 (or (not (tptp.lt @t17 @t16)) @t46 @t62))) % 0.39/0.91 (assume @p89 (forall @t3 (or (not (tptp.leq @t22 @t21)) @t46 @t63))) % 0.39/0.91 (assume @p90 (forall @t3 (or (not (tptp.lt @t26 @t27)) @t46 @t64))) % 0.39/0.91 (assume @p91 (forall @t3 (or (not (tptp.lt @t27 @t26)) @t46 @t64))) % 0.39/0.91 (assume @p92 (forall @t3 (or (not (tptp.leq @t31 @t32)) @t46 @t65))) % 0.39/0.91 (assume @p93 (forall @t3 (or (not (tptp.leq @t32 @t31)) @t46 @t65))) % 0.39/0.91 (assume @p94 (forall @t40 (or @t45 @t58 (= (tptp.tl @t59) @t39)))) % 0.39/0.91 (assume @p95 (forall @t40 (or @t45 @t58 (= (tptp.hd @t59) @t1)))) % 0.39/0.91 (assume @p96 (forall @t40 (or (not (= @t59 tptp.nil)) @t45 @t58))) % 0.39/0.91 (assume @p97 (forall @t40 (or (not (= @t59 @t39)) @t45 @t58))) % 0.39/0.91 (assume @p98 (forall @t40 (or @t46 @t58 @t67 @t66))) % 0.39/0.91 (assume @p99 (forall @t3 (or (not (tptp.singletonP @t1)) @t46 (= (tptp.cons @t38 tptp.nil) @t1)))) % 0.39/0.91 (assume @p100 (forall @t40 (or @t45 @t68 @t67 @t66))) % 0.39/0.91 (assume @p101 @t72) % 0.39/0.91 (assume @p102 (forall @t3 (or @t46 (= (tptp.cons @t52 @t51) @t1) @t50))) % 0.39/0.91 (assume @p103 (forall @t40 (or @t74 @t68 @t45 @t73))) % 0.39/0.91 (assume @p104 (forall @t40 (or @t71 @t45 @t68 @t75))) % 0.39/0.91 (assume @p105 (forall @t40 (or @t77 @t68 @t45 @t76))) % 0.39/0.91 (assume @p106 (forall @t40 (or @t79 @t45 @t68 @t78))) % 0.39/0.91 (assume @p107 (forall @t3 (or @t46 (= (tptp.cons @t2 @t4) @t1) @t50))) % 0.39/0.91 (assume @p108 (forall @t40 (or @t74 (not @t75) @t45 @t68))) % 0.39/0.91 (assume @p109 (forall @t40 (or @t81 @t71 @t68 @t45))) % 0.39/0.91 (assume @p110 (forall @t40 (or @t54 @t46 @t68 (tptp.strictorderedP @t82)))) % 0.39/0.91 (assume @p111 (forall @t40 (or @t54 @t46 @t68 (tptp.totalorderedP @t82)))) % 0.39/0.91 (assume @p112 (forall @t40 (or @t71 (not @t73) @t45 @t68))) % 0.39/0.91 (assume @p113 (forall @t40 (or @t81 @t83 @t58 @t46))) % 0.39/0.91 (assume @p114 (forall @t40 (or (not (= @t47 @t39)) @t45 @t58 (tptp.singletonP @t39)))) % 0.39/0.92 (assume @p115 (forall @t40 (or @t81 @t83 @t68 @t45))) % 0.39/0.92 (assume @p116 (forall @t40 (or @t86 @t58 @t46 @t50))) % 0.39/0.92 (assume @p117 (forall @t40 (or @t86 @t58 @t46 @t87))) % 0.39/0.92 (assume @p118 (forall @t40 (or @t45 @t58 (= (tptp.app @t47 @t39) @t59)))) % 0.39/0.92 (assume @p119 (forall @t40 (or @t79 @t68 @t45 @t70 @t80))) % 0.39/0.92 (assume @p120 (forall @t40 (or @t46 @t58 @t87 (= (tptp.hd @t57) @t88)))) % 0.39/0.92 (assume @p121 (forall @t40 (or @t91 @t58 @t45 @t89 @t87))) % 0.39/0.92 (assume @p122 (forall @t40 (or @t94 @t58 @t45 @t92 @t87))) % 0.39/0.92 (assume @p123 (forall @t40 (or @t77 (not @t78) @t45 @t68 @t66))) % 0.39/0.92 (assume @p124 (forall @t40 (or @t95 (not (tptp.segmentP @t39 @t1)) @t46 @t58 @t66))) % 0.39/0.92 (assume @p125 (forall @t40 (or @t96 (not (tptp.rearsegP @t39 @t1)) @t46 @t58 @t66))) % 0.39/0.92 (assume @p126 (forall @t40 (or @t97 (not (tptp.frontsegP @t39 @t1)) @t46 @t58 @t66))) % 0.39/0.92 (assume @p127 (forall @t40 (or @t79 @t98 @t45 @t68 @t66))) % 0.39/0.92 (assume @p128 (forall @t40 (or @t96 @t58 @t46 (= (tptp.app @t42 @t39) @t1)))) % 0.39/0.92 (assume @p129 (forall @t40 (or @t97 @t58 @t46 (= (tptp.app @t39 @t43) @t1)))) % 0.39/0.92 (assume @p130 (forall @t40 (or @t46 @t58 @t87 (= (tptp.tl @t57) (tptp.app @t99 @t1))))) % 0.39/0.92 (assume @p131 (forall @t40 (or @t91 @t58 @t45 @t100 @t87))) % 0.39/0.92 (assume @p132 (forall @t40 (or @t94 @t58 @t45 @t101 @t87))) % 0.39/0.92 (assume @p133 (forall @t105 (or @t96 @t104 @t58 @t46 (tptp.rearsegP @t103 @t39)))) % 0.39/0.92 (assume @p134 (forall @t105 (or @t97 @t104 @t58 @t46 (tptp.frontsegP @t106 @t39)))) % 0.39/0.92 (assume @p135 (forall @t105 (or @t81 @t104 @t68 @t45 (tptp.memberP @t107 @t1)))) % 0.39/0.92 (assume @p136 (forall @t105 (or @t110 @t46 @t109 @t68 (tptp.memberP @t108 @t39)))) % 0.39/0.92 (assume @p137 (forall @t105 (or @t110 @t104 @t46 @t68 (tptp.memberP @t106 @t39)))) % 0.39/0.92 (assume @p138 (forall @t105 (or @t110 @t46 @t104 @t68 (tptp.memberP @t103 @t39)))) % 0.39/0.92 (assume @p139 (forall @t3 (or @t46 @t61 (= (tptp.app @t6 (tptp.cons @t8 (tptp.cons @t7 @t5))) @t1)))) % 0.39/0.92 (assume @p140 (forall @t105 (or @t111 @t46 @t58 @t104 (tptp.rearsegP @t102 @t39)))) % 0.39/0.92 (assume @p141 (forall @t105 (or @t111 @t58 @t46 @t104 (tptp.frontsegP @t102 @t1)))) % 0.39/0.92 (assume @p142 (forall @t40 (or @t54 (not @t87) @t58 @t46 @t85))) % 0.39/0.92 (assume @p143 (forall @t105 (or @t74 (not (tptp.gt @t39 @t102)) @t109 @t68 @t45 (tptp.gt @t1 @t102)))) % 0.39/0.92 (assume @p144 (forall @t105 (or @t79 @t113 @t109 @t68 @t45 @t112))) % 0.39/0.92 (assume @p145 (forall @t105 (or @t77 (not (tptp.geq @t39 @t102)) @t109 @t68 @t45 (tptp.geq @t1 @t102)))) % 0.39/0.92 (assume @p146 (forall @t105 (or @t46 @t58 @t104 (= (tptp.app @t114 @t1) (tptp.app @t102 @t57))))) % 0.39/0.92 (assume @p147 (forall @t105 (or (not (= @t84 @t106)) @t58 @t46 @t104 @t115))) % 0.39/0.92 (assume @p148 (forall @t105 (or (not (= @t84 @t114)) @t46 @t58 @t104 @t116))) % 0.39/0.92 (assume @p149 (forall @t105 (or @t95 (not (tptp.segmentP @t39 @t102)) @t104 @t58 @t46 (tptp.segmentP @t1 @t102)))) % 0.39/0.92 (assume @p150 (forall @t105 (or @t96 (not (tptp.rearsegP @t39 @t102)) @t104 @t58 @t46 (tptp.rearsegP @t1 @t102)))) % 0.39/0.92 (assume @p151 (forall @t105 (or @t97 (not (tptp.frontsegP @t39 @t102)) @t104 @t58 @t46 (tptp.frontsegP @t1 @t102)))) % 0.39/0.92 (assume @p152 (forall @t105 (or @t71 @t113 @t109 @t68 @t45 @t112))) % 0.39/0.92 (assume @p153 (forall @t105 (or @t79 (not (tptp.leq @t39 @t102)) @t109 @t68 @t45 (tptp.leq @t1 @t102)))) % 0.39/0.92 (assume @p154 (forall @t105 (or @t45 @t58 @t104 (= (tptp.cons @t1 (tptp.app @t39 @t102)) (tptp.app @t59 @t102))))) % 0.39/0.92 (assume @p155 (forall @t105 (or (not (tptp.memberP @t84 @t102)) @t58 @t46 @t109 @t117 (tptp.memberP @t1 @t102)))) % 0.39/0.92 (assume @p156 (forall @t40 (or (not @t101) (not @t92) @t58 @t45 @t93 @t87))) % 0.39/0.92 (assume @p157 (forall @t40 (or (not @t100) (not @t89) @t58 @t45 @t90 @t87))) % 0.39/0.92 (assume @p158 (forall @t105 (or (not (tptp.memberP @t59 @t102)) @t58 @t45 @t109 @t117 (= @t102 @t1)))) % 0.39/0.92 (assume @p159 (forall @t3 (or @t46 @t49 (= (tptp.app (tptp.app @t11 (tptp.cons @t12 @t10)) (tptp.cons @t12 @t9)) @t1)))) % 0.39/0.92 (assume @p160 (forall @t3 (or @t46 @t62 (= (tptp.app (tptp.app @t15 (tptp.cons @t17 @t14)) (tptp.cons @t16 @t13)) @t1)))) % 0.39/0.92 (assume @p161 (forall @t3 (or @t46 @t63 (= (tptp.app (tptp.app @t20 (tptp.cons @t22 @t19)) (tptp.cons @t21 @t18)) @t1)))) % 0.39/0.92 (assume @p162 (forall @t3 (or @t46 @t64 (= (tptp.app (tptp.app @t25 (tptp.cons @t27 @t24)) (tptp.cons @t26 @t23)) @t1)))) % 0.39/0.92 (assume @p163 (forall @t3 (or @t46 @t65 (= (tptp.app (tptp.app @t30 (tptp.cons @t32 @t29)) (tptp.cons @t31 @t28)) @t1)))) % 0.39/0.92 (assume @p164 (forall @t3 (or @t46 @t60 (= (tptp.app (tptp.app @t35 (tptp.cons @t37 @t34)) (tptp.cons @t36 @t33)) @t1)))) % 0.39/0.92 (assume @p165 (forall @t40 (or @t95 @t58 @t46 (= (tptp.app (tptp.app @t41 @t39) (tptp.skaf48 @t39 @t1)) @t1)))) % 0.39/0.92 (assume @p166 (forall @t40 (or @t110 @t68 @t46 (= (tptp.app @t44 (tptp.cons @t39 (tptp.skaf43 @t39 @t1))) @t1)))) % 0.39/0.92 (assume @p167 (forall @t122 (or @t121 @t109 @t45 @t119 @t58 @t116))) % 0.39/0.92 (assume @p168 (forall @t122 (or @t121 @t109 @t45 @t119 @t58 (= @t118 @t39)))) % 0.39/0.92 (assume @p169 (forall @t122 (or @t95 @t104 @t119 @t58 @t46 (tptp.segmentP (tptp.app (tptp.app @t118 @t1) @t102) @t39)))) % 0.39/0.92 (assume @p170 (forall @t122 (or (not (= (tptp.app @t84 @t102) @t118)) @t104 @t46 @t58 @t119 (tptp.segmentP @t118 @t39)))) % 0.39/0.92 (assume @p171 (forall @t122 (or @t123 @t119 @t58 @t109 @t45 (tptp.frontsegP @t39 @t118)))) % 0.39/0.92 (assume @p172 (forall @t122 (or (not (= @t124 @t118)) @t104 @t46 @t68 @t119 (tptp.memberP @t118 @t39)))) % 0.39/0.92 (assume @p173 (forall @t122 (or @t123 @t119 @t58 @t109 @t45 @t116))) % 0.39/0.92 (assume @p174 (forall @t40 (or (not (= @t51 @t99)) (not (= @t52 @t88)) @t46 @t58 @t87 @t80 @t50))) % 0.39/0.92 (assume @p175 (forall @t122 (or @t97 (not (= @t102 @t118)) @t58 @t46 @t125 @t109 (tptp.frontsegP @t108 (tptp.cons @t118 @t39))))) % 0.39/0.92 (assume @p176 (forall @t128 (or (not (= (tptp.app @t124 (tptp.cons @t39 @t118)) @t126)) @t119 @t104 @t46 @t68 (not (tptp.duplicatefreeP @t126)) @t127))) % 0.39/0.92 (assume @p177 (forall @t128 (or (not (= (tptp.app @t1 (tptp.cons @t39 @t120)) @t126)) @t119 @t46 @t109 @t68 (not (tptp.equalelemsP @t126)) @t127 @t115))) % 0.39/0.92 (assume @p178 (forall @t133 (or @t132 @t127 @t104 @t46 @t125 @t68 (not (tptp.strictorderedP @t130)) @t131 @t129))) % 0.39/0.92 (assume @p179 (forall @t133 (or @t132 @t127 @t104 @t46 @t125 @t68 (not (tptp.totalorderedP @t130)) @t131 @t134))) % 0.39/0.92 (assume @p180 (forall @t133 (or @t132 @t127 @t104 @t46 @t125 @t68 (not (tptp.strictorderP @t130)) @t131 @t129 (tptp.lt @t118 @t39)))) % 0.39/0.92 (assume @p181 (forall @t133 (or @t132 @t127 @t104 @t46 @t125 @t68 (not (tptp.totalorderP @t130)) @t131 @t134 (tptp.leq @t118 @t39)))) % 0.39/0.92 (assume @p182 (forall @t133 (or @t79 @t98 (not (= (tptp.app (tptp.app @t102 (tptp.cons @t1 @t118)) (tptp.cons @t39 @t126)) @t130)) @t127 @t119 @t104 @t68 @t45 (not (tptp.cyclefreeP @t130)) @t131))) % 0.39/0.92 (assume @p183 (tptp.ssList tptp.sk1)) % 0.39/0.92 (assume @p184 (tptp.ssList tptp.sk2)) % 0.39/0.92 (assume @p185 (tptp.ssList tptp.sk3)) % 0.39/0.92 (assume @p186 (tptp.ssList tptp.sk4)) % 0.39/0.92 (assume @p187 (= tptp.sk2 tptp.sk4)) % 0.39/0.92 (assume @p188 (= tptp.sk1 tptp.sk3)) % 0.39/0.92 (assume @p189 (not (= tptp.nil tptp.sk1))) % 0.39/0.92 (assume @p190 @t147) % 0.39/0.92 (assume @p191 (forall @t146 (or @t144 @t143 @t142 @t141 (tptp.memberP @t136 @t138)))) % 0.39/0.92 (assume @p192 (forall @t146 (or @t144 @t143 @t142 @t141 (tptp.memberP @t137 @t138)))) % 0.39/0.92 (assume @p193 @t150) % 0.39/0.92 (assume @p194 @t153) % 0.39/0.92 (assume @p195 (or @t155 @t154)) % 0.39/0.92 (assume @p196 (or @t155 @t156)) % 0.39/0.92 (assume @p197 (or @t155 @t157)) % 0.39/0.92 (assume @p198 @t159) % 0.39/0.92 (assume @p199 (forall (@list @t135) (or @t155 @t144 (tptp.leq tptp.sk6 @t135) (not (tptp.memberP tptp.sk7 @t135)) (not (tptp.memberP tptp.sk8 @t135)) (not (tptp.lt tptp.sk6 @t135))))) % 0.39/0.92 (step @p200 :rule refl :args (@t148)) % 0.39/0.92 (step @p201 :rule eq-symm :args (@t140 tptp.sk1)) % 0.39/0.92 (step @p202 :rule cong :premises (@p201) :args (@t141)) % 0.39/0.92 (step @p203 :rule refl :args (@t142)) % 0.39/0.92 (step @p204 :rule refl :args (@t143)) % 0.39/0.92 (step @p205 :rule refl :args (@t144)) % 0.39/0.92 (step @p206 :rule nary_cong :premises (@p205 @p204 @p203 @p202 @p200) :args (@t149)) % 0.39/0.92 (step @p207 :rule cong :premises (@p206) :args (@t150)) % 0.39/0.92 (step @p208 :rule eq_resolve :premises (@p193 @p207)) % 0.39/0.92 (step @p209 :rule instantiate :premises (@p208) :args (@t160)) % 0.39/0.92 (step @p210 :rule false_intro :premises (@p189)) % 0.39/0.92 (step @p211 :rule symm :premises (@p188)) % 0.39/0.92 (step @p212 :rule refl :args (tptp.nil)) % 0.39/0.92 (step @p213 :rule cong :premises (@p212 @p211) :args (@t155)) % 0.39/0.92 (step @p214 :rule trans :premises (@p213 @p210)) % 0.39/0.92 (step @p215 :rule false_elim :premises (@p214)) % 0.39/0.92 (step @p216 :rule eq-symm :args (@t158 tptp.sk3)) % 0.39/0.92 (step @p217 :rule refl :args (@t155)) % 0.39/0.92 (step @p218 :rule nary_cong :premises (@p217 @p216) :args (@t159)) % 0.39/0.92 (step @p219 :rule eq_resolve :premises (@p198 @p218)) % 0.39/0.92 (step @p220 :rule chain_m_resolution :premises (@p219 @p215) :args ((= tptp.sk3 @t158) @t161 @t162)) % 0.39/0.92 (step @p221 :rule trans :premises (@p188 @p220)) % 0.39/0.92 (step @p222 :rule chain_m_resolution :premises (@p197 @p215) :args (@t157 @t161 @t162)) % 0.39/0.92 (step @p223 :rule chain_m_resolution :premises (@p196 @p215) :args (@t156 @t161 @t162)) % 0.39/0.92 (step @p224 :rule chain_m_resolution :premises (@p195 @p215) :args (@t154 @t161 @t162)) % 0.39/0.92 (step @p225 :rule cnf_or_pos :args (@t170)) % 0.39/0.92 (step @p226 :rule reordering :premises (@p225) :args ((or @t169 @t168 @t167 @t166 @t164 (not @t170)))) % 0.39/0.92 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p223 @p222 @p221 @p209) :args (@t164 @t171 (@list @t154 @t156 @t157 @t165 @t170))) % 0.39/0.92 (step @p228 :rule refl :args (@t139)) % 0.39/0.92 (step @p229 :rule nary_cong :premises (@p205 @p204 @p203 @p202 @p228) :args (@t145)) % 0.39/0.92 (step @p230 :rule cong :premises (@p229) :args (@t147)) % 0.39/0.92 (step @p231 :rule eq_resolve :premises (@p190 @p230)) % 0.39/0.92 (step @p232 :rule instantiate :premises (@p231) :args (@t160)) % 0.39/0.92 (step @p233 :rule cnf_or_pos :args (@t173)) % 0.39/0.92 (step @p234 :rule reordering :premises (@p233) :args ((or @t169 @t168 @t167 @t166 @t172 (not @t173)))) % 0.39/0.92 (step @p235 :rule chain_m_resolution :premises (@p234 @p224 @p223 @p222 @p221 @p232) :args (@t172 @t171 (@list @t154 @t156 @t157 @t165 @t173))) % 0.39/0.92 (step @p236 :rule refl :args (@t151)) % 0.39/0.92 (step @p237 :rule nary_cong :premises (@p205 @p204 @p203 @p202 @p236) :args (@t152)) % 0.39/0.92 (step @p238 :rule cong :premises (@p237) :args (@t153)) % 0.39/0.92 (step @p239 :rule eq_resolve :premises (@p194 @p238)) % 0.39/0.92 (step @p240 :rule instantiate :premises (@p239) :args (@t160)) % 0.39/0.92 (step @p241 :rule cnf_or_pos :args (@t176)) % 0.39/0.92 (step @p242 :rule reordering :premises (@p241) :args ((or @t169 @t168 @t167 @t166 @t175 (not @t176)))) % 0.39/0.92 (step @p243 :rule chain_m_resolution :premises (@p242 @p224 @p223 @p222 @p221 @p240) :args (@t175 @t171 (@list @t154 @t156 @t157 @t165 @t176))) % 0.39/0.92 (step @p244 :rule cnf_or_pos :args (@t179)) % 0.39/0.92 (step @p245 :rule reordering :premises (@p244) :args ((or @t169 @t174 @t177 @t178 @t180))) % 0.39/0.92 (step @p246 :rule chain_m_resolution :premises (@p245 @p224 @p243 @p235 @p227) :args (@t180 (@list false true false false) (@list @t154 @t174 @t172 @t164))) % 0.39/0.92 (assume-push @p253 @t72) % 0.39/0.92 (step @p248 :rule instantiate :premises (@p101) :args ((@list tptp.sk6 @t163))) % 0.39/0.92 (step-pop @p254 :rule scope :premises (@p248)) % 0.39/0.92 (step @p249 :rule process_scope :premises (@p254) :args (@t179)) % 0.39/0.92 (step @p251 :rule implies_elim :premises (@p249)) % 0.39/0.92 (step @p252 false :rule chain_m_resolution :premises (@p251 @p246 @p101) :args (false (@list true false) (@list @t179 @t72))) % 0.39/0.92 ) % 0.39/0.92 % SZS output end Proof % 0.39/0.92 % cvc5 exiting %------------------------------------------------------------------------------