%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC314-1 : 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 : n016.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 08:58:50 AM UTC 2026 % Result : Unsatisfiable 0.40s 0.68s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC314-1 : 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 : n016.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 19:41:09 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.68 % SZS status Unsatisfiable % 0.40/0.68 % SZS output start Proof % 0.40/0.71 ( % 0.40/0.71 (declare-sort $$unsorted 0) % 0.40/0.71 (declare-const tptp.sk6 $$unsorted) % 0.40/0.71 (declare-const tptp.sk5 $$unsorted) % 0.40/0.71 (declare-const tptp.sk4 $$unsorted) % 0.40/0.71 (declare-const tptp.sk2 $$unsorted) % 0.40/0.71 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.nil $$unsorted) % 0.40/0.71 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.sk1 $$unsorted) % 0.40/0.71 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.skac2 $$unsorted) % 0.40/0.71 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.sk3 $$unsorted) % 0.40/0.71 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skac3 $$unsorted) % 0.40/0.71 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.71 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.40/0.71 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.40/0.71 (define @t1 () (tptp.ssList tptp.nil)) % 0.40/0.71 (define @t2 () (@var "U" $$unsorted)) % 0.40/0.71 (define @t3 () (tptp.skaf83 @t2)) % 0.40/0.71 (define @t4 () (@list @t2)) % 0.40/0.71 (define @t5 () (tptp.skaf82 @t2)) % 0.40/0.71 (define @t6 () (tptp.skaf81 @t2)) % 0.40/0.71 (define @t7 () (tptp.skaf80 @t2)) % 0.40/0.71 (define @t8 () (tptp.skaf79 @t2)) % 0.40/0.71 (define @t9 () (tptp.skaf78 @t2)) % 0.40/0.71 (define @t10 () (tptp.skaf77 @t2)) % 0.40/0.71 (define @t11 () (tptp.skaf76 @t2)) % 0.40/0.71 (define @t12 () (tptp.skaf75 @t2)) % 0.40/0.71 (define @t13 () (tptp.skaf74 @t2)) % 0.40/0.71 (define @t14 () (tptp.skaf73 @t2)) % 0.40/0.71 (define @t15 () (tptp.skaf72 @t2)) % 0.40/0.71 (define @t16 () (tptp.skaf71 @t2)) % 0.40/0.71 (define @t17 () (tptp.skaf70 @t2)) % 0.40/0.71 (define @t18 () (tptp.skaf69 @t2)) % 0.40/0.71 (define @t19 () (tptp.skaf68 @t2)) % 0.40/0.71 (define @t20 () (tptp.skaf67 @t2)) % 0.40/0.71 (define @t21 () (tptp.skaf66 @t2)) % 0.40/0.71 (define @t22 () (tptp.skaf65 @t2)) % 0.40/0.71 (define @t23 () (tptp.skaf64 @t2)) % 0.40/0.71 (define @t24 () (tptp.skaf63 @t2)) % 0.40/0.71 (define @t25 () (tptp.skaf62 @t2)) % 0.40/0.71 (define @t26 () (tptp.skaf61 @t2)) % 0.40/0.71 (define @t27 () (tptp.skaf60 @t2)) % 0.40/0.71 (define @t28 () (tptp.skaf59 @t2)) % 0.40/0.71 (define @t29 () (tptp.skaf58 @t2)) % 0.40/0.71 (define @t30 () (tptp.skaf57 @t2)) % 0.40/0.71 (define @t31 () (tptp.skaf56 @t2)) % 0.40/0.71 (define @t32 () (tptp.skaf55 @t2)) % 0.40/0.71 (define @t33 () (tptp.skaf54 @t2)) % 0.40/0.71 (define @t34 () (tptp.skaf53 @t2)) % 0.40/0.71 (define @t35 () (tptp.skaf52 @t2)) % 0.40/0.71 (define @t36 () (tptp.skaf51 @t2)) % 0.40/0.71 (define @t37 () (tptp.skaf50 @t2)) % 0.40/0.71 (define @t38 () (tptp.skaf49 @t2)) % 0.40/0.71 (define @t39 () (tptp.skaf44 @t2)) % 0.40/0.71 (define @t40 () (@var "V" $$unsorted)) % 0.40/0.71 (define @t41 () (@list @t2 @t40)) % 0.40/0.71 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.40/0.71 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.40/0.71 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.40/0.71 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.40/0.71 (define @t46 () (not (tptp.ssItem @t2))) % 0.40/0.71 (define @t47 () (not (tptp.ssList @t2))) % 0.40/0.71 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.40/0.71 (define @t49 () (tptp.ssItem @t40)) % 0.40/0.71 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.40/0.71 (define @t51 () (tptp.app tptp.nil @t2)) % 0.40/0.71 (define @t52 () (or @t47 (= @t51 @t2))) % 0.40/0.71 (define @t53 () (forall @t4 @t52)) % 0.40/0.71 (define @t54 () (= tptp.nil @t2)) % 0.40/0.71 (define @t55 () (tptp.tl @t2)) % 0.40/0.71 (define @t56 () (tptp.hd @t2)) % 0.40/0.71 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 0.40/0.71 (define @t58 () (not @t54)) % 0.40/0.71 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 0.40/0.71 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 0.40/0.71 (define @t61 () (tptp.app @t40 @t2)) % 0.40/0.71 (define @t62 () (not (tptp.ssList @t40))) % 0.40/0.71 (define @t63 () (tptp.cons @t2 @t40)) % 0.40/0.71 (define @t64 () (tptp.cyclefreeP @t2)) % 0.40/0.71 (define @t65 () (tptp.equalelemsP @t2)) % 0.40/0.71 (define @t66 () (tptp.strictorderedP @t2)) % 0.40/0.71 (define @t67 () (tptp.totalorderedP @t2)) % 0.40/0.71 (define @t68 () (tptp.strictorderP @t2)) % 0.40/0.71 (define @t69 () (tptp.totalorderP @t2)) % 0.40/0.71 (define @t70 () (tptp.tl @t63)) % 0.40/0.71 (define @t71 () (or @t46 @t62 (= @t70 @t40))) % 0.40/0.71 (define @t72 () (forall @t41 @t71)) % 0.40/0.71 (define @t73 () (tptp.hd @t63)) % 0.40/0.71 (define @t74 () (or @t46 @t62 (= @t73 @t2))) % 0.40/0.71 (define @t75 () (forall @t41 @t74)) % 0.40/0.71 (define @t76 () (not (= @t63 tptp.nil))) % 0.40/0.71 (define @t77 () (or @t76 @t46 @t62)) % 0.40/0.71 (define @t78 () (forall @t41 @t77)) % 0.40/0.71 (define @t79 () (= @t40 @t2)) % 0.40/0.71 (define @t80 () (tptp.neq @t40 @t2)) % 0.40/0.71 (define @t81 () (or @t47 @t62 @t80 @t79)) % 0.40/0.71 (define @t82 () (forall @t41 @t81)) % 0.40/0.71 (define @t83 () (not @t49)) % 0.40/0.71 (define @t84 () (tptp.leq @t2 @t40)) % 0.40/0.71 (define @t85 () (tptp.lt @t2 @t40)) % 0.40/0.71 (define @t86 () (not @t85)) % 0.40/0.71 (define @t87 () (tptp.lt @t40 @t2)) % 0.40/0.71 (define @t88 () (not (tptp.gt @t2 @t40))) % 0.40/0.71 (define @t89 () (tptp.gt @t40 @t2)) % 0.40/0.71 (define @t90 () (tptp.leq @t40 @t2)) % 0.40/0.71 (define @t91 () (not (tptp.geq @t2 @t40))) % 0.40/0.71 (define @t92 () (tptp.geq @t40 @t2)) % 0.40/0.71 (define @t93 () (not @t84)) % 0.40/0.71 (define @t94 () (= @t2 @t40)) % 0.40/0.71 (define @t95 () (not @t94)) % 0.40/0.71 (define @t96 () (tptp.cons @t40 @t2)) % 0.40/0.71 (define @t97 () (not (tptp.neq @t2 @t40))) % 0.40/0.71 (define @t98 () (tptp.app @t2 @t40)) % 0.40/0.71 (define @t99 () (= @t98 tptp.nil)) % 0.40/0.71 (define @t100 () (not @t99)) % 0.40/0.71 (define @t101 () (= tptp.nil @t40)) % 0.40/0.71 (define @t102 () (tptp.app @t48 @t40)) % 0.40/0.71 (define @t103 () (or @t46 @t62 (= @t102 @t63))) % 0.40/0.71 (define @t104 () (forall @t41 @t103)) % 0.40/0.71 (define @t105 () (tptp.hd @t40)) % 0.40/0.71 (define @t106 () (forall @t41 (or @t47 @t62 @t101 (= (tptp.hd @t61) @t105)))) % 0.40/0.71 (define @t107 () (tptp.strictorderedP @t40)) % 0.40/0.71 (define @t108 () (tptp.strictorderedP @t63)) % 0.40/0.71 (define @t109 () (not @t108)) % 0.40/0.71 (define @t110 () (tptp.totalorderedP @t40)) % 0.40/0.71 (define @t111 () (tptp.totalorderedP @t63)) % 0.40/0.71 (define @t112 () (not @t111)) % 0.40/0.71 (define @t113 () (not (tptp.segmentP @t2 @t40))) % 0.40/0.71 (define @t114 () (not (tptp.rearsegP @t2 @t40))) % 0.40/0.71 (define @t115 () (not (tptp.frontsegP @t2 @t40))) % 0.40/0.71 (define @t116 () (not @t90)) % 0.40/0.71 (define @t117 () (tptp.tl @t40)) % 0.40/0.71 (define @t118 () (tptp.lt @t2 @t105)) % 0.40/0.71 (define @t119 () (tptp.leq @t2 @t105)) % 0.40/0.71 (define @t120 () (@var "W" $$unsorted)) % 0.40/0.71 (define @t121 () (tptp.app @t120 @t2)) % 0.40/0.71 (define @t122 () (not (tptp.ssList @t120))) % 0.40/0.71 (define @t123 () (@list @t2 @t40 @t120)) % 0.40/0.71 (define @t124 () (tptp.app @t2 @t120)) % 0.40/0.71 (define @t125 () (tptp.cons @t40 @t120)) % 0.40/0.71 (define @t126 () (tptp.cons @t120 @t2)) % 0.40/0.71 (define @t127 () (not (tptp.ssItem @t120))) % 0.40/0.71 (define @t128 () (not (tptp.memberP @t2 @t40))) % 0.40/0.71 (define @t129 () (tptp.rearsegP @t120 @t40)) % 0.40/0.71 (define @t130 () (not (= @t98 @t120))) % 0.40/0.71 (define @t131 () (or @t130 @t47 @t62 @t122 @t129)) % 0.40/0.71 (define @t132 () (forall @t123 @t131)) % 0.40/0.71 (define @t133 () (tptp.lt @t2 @t120)) % 0.40/0.71 (define @t134 () (not (tptp.lt @t40 @t120))) % 0.40/0.71 (define @t135 () (tptp.app @t120 @t40)) % 0.40/0.71 (define @t136 () (= @t40 @t120)) % 0.40/0.71 (define @t137 () (= @t2 @t120)) % 0.40/0.71 (define @t138 () (tptp.memberP @t40 @t120)) % 0.40/0.71 (define @t139 () (@var "X" $$unsorted)) % 0.40/0.71 (define @t140 () (not (tptp.ssList @t139))) % 0.40/0.71 (define @t141 () (tptp.cons @t120 @t139)) % 0.40/0.71 (define @t142 () (not (= @t63 @t141))) % 0.40/0.71 (define @t143 () (@list @t2 @t40 @t120 @t139)) % 0.40/0.71 (define @t144 () (not (tptp.frontsegP @t63 @t141))) % 0.40/0.71 (define @t145 () (tptp.app @t2 @t125)) % 0.40/0.71 (define @t146 () (not (tptp.ssItem @t139))) % 0.40/0.71 (define @t147 () (@var "Y" $$unsorted)) % 0.40/0.71 (define @t148 () (not (tptp.ssList @t147))) % 0.40/0.71 (define @t149 () (@list @t2 @t40 @t120 @t139 @t147)) % 0.40/0.71 (define @t150 () (tptp.lt @t40 @t139)) % 0.40/0.71 (define @t151 () (@var "Z" $$unsorted)) % 0.40/0.71 (define @t152 () (not (tptp.ssList @t151))) % 0.40/0.71 (define @t153 () (not (= (tptp.app @t145 (tptp.cons @t139 @t147)) @t151))) % 0.40/0.71 (define @t154 () (@list @t2 @t40 @t120 @t139 @t147 @t151)) % 0.40/0.71 (define @t155 () (tptp.leq @t40 @t139)) % 0.40/0.71 (define @t156 () (tptp.ssList tptp.sk2)) % 0.40/0.71 (define @t157 () (tptp.ssList tptp.sk4)) % 0.40/0.71 (define @t158 () (= tptp.sk2 tptp.sk4)) % 0.40/0.71 (define @t159 () (= tptp.sk1 tptp.sk3)) % 0.40/0.71 (define @t160 () (= tptp.nil tptp.sk4)) % 0.40/0.71 (define @t161 () (not @t160)) % 0.40/0.71 (define @t162 () (= tptp.nil tptp.sk3)) % 0.40/0.71 (define @t163 () (tptp.neq tptp.sk4 tptp.nil)) % 0.40/0.71 (define @t164 () (not @t163)) % 0.40/0.71 (define @t165 () (tptp.neq tptp.nil tptp.sk4)) % 0.40/0.71 (define @t166 () (not @t165)) % 0.40/0.71 (define @t167 () (@var "D" $$unsorted)) % 0.40/0.71 (define @t168 () (tptp.hd tptp.sk4)) % 0.40/0.71 (define @t169 () (not (= @t168 @t167))) % 0.40/0.71 (define @t170 () (@var "C" $$unsorted)) % 0.40/0.71 (define @t171 () (tptp.cons @t167 tptp.nil)) % 0.40/0.71 (define @t172 () (not (= @t171 @t170))) % 0.40/0.71 (define @t173 () (not (tptp.ssItem @t167))) % 0.40/0.71 (define @t174 () (@var "A" $$unsorted)) % 0.40/0.71 (define @t175 () (@var "B" $$unsorted)) % 0.40/0.71 (define @t176 () (tptp.app @t175 @t170)) % 0.40/0.71 (define @t177 () (not (= @t176 @t174))) % 0.40/0.71 (define @t178 () (tptp.tl tptp.sk4)) % 0.40/0.71 (define @t179 () (not (= @t178 @t175))) % 0.40/0.71 (define @t180 () (not (tptp.ssList @t170))) % 0.40/0.71 (define @t181 () (not (tptp.ssList @t175))) % 0.40/0.71 (define @t182 () (= tptp.sk3 @t174)) % 0.40/0.71 (define @t183 () (not (tptp.ssList @t174))) % 0.40/0.71 (define @t184 () (or @t183 @t182 @t181 @t180 @t179 @t177 @t173 @t172 @t169 @t166 @t166 @t164)) % 0.40/0.71 (define @t185 () (@list @t174 @t175 @t170 @t167)) % 0.40/0.71 (define @t186 () (forall @t185 @t184)) % 0.40/0.71 (define @t187 () (= tptp.nil tptp.sk2)) % 0.40/0.71 (define @t188 () (tptp.ssItem tptp.sk5)) % 0.40/0.71 (define @t189 () (= tptp.nil tptp.sk1)) % 0.40/0.71 (define @t190 () (not @t189)) % 0.40/0.71 (define @t191 () (tptp.ssList tptp.sk6)) % 0.40/0.71 (define @t192 () (tptp.cons tptp.sk5 tptp.nil)) % 0.40/0.71 (define @t193 () (tptp.app @t192 tptp.sk6)) % 0.40/0.71 (define @t194 () (= @t193 tptp.sk2)) % 0.40/0.71 (define @t195 () (or @t194 @t187)) % 0.40/0.71 (define @t196 () (tptp.app tptp.sk6 @t192)) % 0.40/0.71 (define @t197 () (not (= @t196 tptp.sk1))) % 0.40/0.71 (define @t198 () (or @t197 @t187)) % 0.40/0.71 (define @t199 () (or @t194 @t190)) % 0.40/0.71 (define @t200 () (= tptp.sk2 @t193)) % 0.40/0.71 (define @t201 () (and @t158 @t187)) % 0.40/0.71 (define @t202 () (not @t158)) % 0.40/0.71 (define @t203 () (not @t162)) % 0.40/0.71 (define @t204 () (not @t159)) % 0.40/0.71 (define @t205 () (and @t159 @t190)) % 0.40/0.71 (define @t206 () (@list tptp.sk4)) % 0.40/0.71 (define @t207 () (tptp.ssList @t178)) % 0.40/0.71 (define @t208 () (not @t157)) % 0.40/0.71 (define @t209 () (or @t208 @t207 @t160)) % 0.40/0.71 (define @t210 () (tptp.ssItem @t168)) % 0.40/0.71 (define @t211 () (or @t208 @t210 @t160)) % 0.40/0.71 (define @t212 () (not @t1)) % 0.40/0.71 (define @t213 () (or @t208 @t212 @t165 (= tptp.sk4 tptp.nil))) % 0.40/0.71 (define @t214 () (forall @t41 (or @t47 @t62 @t80 @t94))) % 0.40/0.71 (define @t215 () (or @t208 @t212 @t165 @t160)) % 0.40/0.71 (define @t216 () (@list false)) % 0.40/0.71 (define @t217 () (or @t212 @t208 @t163 @t160)) % 0.40/0.71 (define @t218 () (= tptp.sk1 @t196)) % 0.40/0.71 (define @t219 () (not @t218)) % 0.40/0.71 (define @t220 () (@list tptp.sk5 tptp.nil)) % 0.40/0.71 (define @t221 () (tptp.ssList @t192)) % 0.40/0.71 (define @t222 () (not @t188)) % 0.40/0.71 (define @t223 () (or @t222 @t212 @t221)) % 0.40/0.71 (define @t224 () (tptp.tl @t192)) % 0.40/0.71 (define @t225 () (= tptp.nil @t224)) % 0.40/0.71 (define @t226 () (or @t222 @t212 @t225)) % 0.40/0.71 (define @t227 () (tptp.hd @t192)) % 0.40/0.71 (define @t228 () (= tptp.sk5 @t227)) % 0.40/0.71 (define @t229 () (or @t222 @t212 @t228)) % 0.40/0.71 (define @t230 () (= tptp.nil @t192)) % 0.40/0.71 (define @t231 () (not @t230)) % 0.40/0.71 (define @t232 () (or @t231 @t222 @t212)) % 0.40/0.71 (define @t233 () (@list tptp.sk6)) % 0.40/0.71 (define @t234 () (tptp.app tptp.nil tptp.sk6)) % 0.40/0.71 (define @t235 () (= tptp.sk6 @t234)) % 0.40/0.71 (define @t236 () (not @t191)) % 0.40/0.71 (define @t237 () (or @t236 @t235)) % 0.40/0.71 (define @t238 () (@list @t192 tptp.sk6)) % 0.40/0.71 (define @t239 () (tptp.ssList @t196)) % 0.40/0.71 (define @t240 () (not @t221)) % 0.40/0.71 (define @t241 () (or @t240 @t236 @t239)) % 0.40/0.71 (define @t242 () (tptp.hd @t193)) % 0.40/0.71 (define @t243 () (or @t236 @t240 @t230 (= @t242 @t227))) % 0.40/0.71 (define @t244 () (@list tptp.sk6 @t192)) % 0.40/0.71 (define @t245 () (= @t227 @t242)) % 0.40/0.71 (define @t246 () (or @t236 @t240 @t230 @t245)) % 0.40/0.71 (define @t247 () (tptp.app @t224 tptp.sk6)) % 0.40/0.71 (define @t248 () (= (tptp.tl @t193) @t247)) % 0.40/0.71 (define @t249 () (or @t236 @t240 @t230 @t248)) % 0.40/0.71 (define @t250 () (tptp.cons @t168 tptp.nil)) % 0.40/0.71 (define @t251 () (tptp.ssList @t250)) % 0.40/0.71 (define @t252 () (and @t158 @t200 @t221 @t228 @t245)) % 0.40/0.71 (define @t253 () (not @t245)) % 0.40/0.71 (define @t254 () (not @t228)) % 0.40/0.71 (define @t255 () (not @t200)) % 0.40/0.71 (define @t256 () (tptp.app @t178 @t250)) % 0.40/0.71 (define @t257 () (tptp.ssList @t256)) % 0.40/0.71 (define @t258 () (and @t158 @t200 @t235 @t239 @t225 @t228 @t245 @t248)) % 0.40/0.71 (define @t259 () (not @t248)) % 0.40/0.71 (define @t260 () (not @t225)) % 0.40/0.71 (define @t261 () (not @t235)) % 0.40/0.71 (define @t262 () (= tptp.sk3 @t256)) % 0.40/0.71 (define @t263 () (not @t262)) % 0.40/0.71 (define @t264 () (and @t158 @t159 @t200 @t219 @t235 @t225 @t228 @t245 @t248)) % 0.40/0.71 (define @t265 () (not @t210)) % 0.40/0.71 (define @t266 () (not @t251)) % 0.40/0.71 (define @t267 () (not @t257)) % 0.40/0.71 (define @t268 () (not @t207)) % 0.40/0.71 (define @t269 () (or @t268 @t267 @t262 @t266 @t265)) % 0.40/0.71 (define @t270 () (or @t267 @t262 @t266 @t265)) % 0.40/0.71 (define @t271 () (not (= @t168 @t168))) % 0.40/0.71 (define @t272 () (or @t267 @t262 @t266 @t265 @t271)) % 0.40/0.71 (define @t273 () (not (= @t167 @t168))) % 0.40/0.71 (define @t274 () (not (tptp.ssList @t171))) % 0.40/0.71 (define @t275 () (tptp.app @t178 @t171)) % 0.40/0.71 (define @t276 () (= tptp.sk3 @t275)) % 0.40/0.71 (define @t277 () (not (tptp.ssList @t275))) % 0.40/0.71 (define @t278 () (or @t273 @t277 @t276 @t274 @t173 @t273)) % 0.40/0.71 (define @t279 () (@list @t167)) % 0.40/0.71 (define @t280 () (or @t277 @t276 @t274 @t173 @t273)) % 0.40/0.71 (define @t281 () (not (= @t171 @t171))) % 0.40/0.71 (define @t282 () (or @t277 @t276 @t274 @t173 @t281 @t273)) % 0.40/0.71 (define @t283 () (not (= @t170 @t171))) % 0.40/0.71 (define @t284 () (tptp.app @t178 @t170)) % 0.40/0.71 (define @t285 () (= tptp.sk3 @t284)) % 0.40/0.71 (define @t286 () (not (tptp.ssList @t284))) % 0.40/0.71 (define @t287 () (or @t283 @t286 @t285 @t180 @t173 @t283 @t273)) % 0.40/0.71 (define @t288 () (@list @t170)) % 0.40/0.71 (define @t289 () (or @t286 @t285 @t180 @t173 @t283 @t273)) % 0.40/0.71 (define @t290 () (forall @t288 @t289)) % 0.40/0.71 (define @t291 () (forall @t279 @t290)) % 0.40/0.71 (define @t292 () (forall (@list @t167 @t170) @t289)) % 0.40/0.71 (define @t293 () (@list @t170 @t167)) % 0.40/0.71 (define @t294 () (not (= @t284 @t284))) % 0.40/0.71 (define @t295 () (or @t286 @t285 @t180 @t294 @t173 @t283 @t273)) % 0.40/0.71 (define @t296 () (not (= @t174 @t284))) % 0.40/0.71 (define @t297 () (or @t296 @t183 @t182 @t180 @t296 @t173 @t283 @t273)) % 0.40/0.71 (define @t298 () (@list @t174)) % 0.40/0.71 (define @t299 () (or @t183 @t182 @t180 @t296 @t173 @t283 @t273)) % 0.40/0.71 (define @t300 () (forall @t298 @t299)) % 0.40/0.71 (define @t301 () (forall @t293 @t300)) % 0.40/0.71 (define @t302 () (forall (@list @t170 @t167 @t174) @t299)) % 0.40/0.71 (define @t303 () (@list @t174 @t170 @t167)) % 0.40/0.71 (define @t304 () (forall @t303 @t299)) % 0.40/0.71 (define @t305 () (or @t268 @t304)) % 0.40/0.71 (define @t306 () (or @t268 @t299)) % 0.40/0.71 (define @t307 () (or @t183 @t182 @t268 @t180 @t296 @t173 @t283 @t273)) % 0.40/0.71 (define @t308 () (not (= @t178 @t178))) % 0.40/0.71 (define @t309 () (or @t183 @t182 @t268 @t308 @t180 @t296 @t173 @t283 @t273)) % 0.40/0.71 (define @t310 () (not (= @t174 @t176))) % 0.40/0.71 (define @t311 () (not (= @t175 @t178))) % 0.40/0.71 (define @t312 () (or @t311 @t183 @t182 @t181 @t311 @t180 @t310 @t173 @t283 @t273)) % 0.40/0.71 (define @t313 () (@list @t175)) % 0.40/0.71 (define @t314 () (or @t183 @t182 @t181 @t311 @t180 @t310 @t173 @t283 @t273)) % 0.40/0.71 (define @t315 () (forall @t313 @t314)) % 0.40/0.71 (define @t316 () (forall @t303 @t315)) % 0.40/0.71 (define @t317 () (forall (@list @t174 @t170 @t167 @t175) @t314)) % 0.40/0.71 (define @t318 () (forall @t185 @t314)) % 0.40/0.71 (define @t319 () (or @t166 @t164 @t318)) % 0.40/0.71 (define @t320 () (or @t166 @t164 @t314)) % 0.40/0.71 (define @t321 () (or @t183 @t182 @t181 @t180 @t311 @t310 @t173 @t283 @t273 @t166 @t164)) % 0.40/0.71 (define @t322 () (or @t183 @t182 @t181 @t180 @t311 @t310 @t173 @t283 @t273 @t166 @t166 @t164)) % 0.40/0.71 (define @t323 () (@list false false)) % 0.40/0.71 (define @t324 () (@list @t189)) % 0.40/0.71 (define @t325 () (@list false false false)) % 0.40/0.71 (define @t326 () (tptp.cons tptp.sk5 tptp.sk6)) % 0.40/0.71 (define @t327 () (or @t222 @t236 (= @t326 @t193))) % 0.40/0.71 (define @t328 () (forall @t41 (or @t46 @t62 (= @t63 @t102)))) % 0.40/0.71 (define @t329 () (= @t193 @t326)) % 0.40/0.71 (define @t330 () (or @t222 @t236 @t329)) % 0.40/0.71 (define @t331 () (tptp.rearsegP @t98 @t40)) % 0.40/0.71 (define @t332 () (not (tptp.ssList @t98))) % 0.40/0.71 (define @t333 () (not (= @t98 @t98))) % 0.40/0.71 (define @t334 () (or @t333 @t47 @t62 @t332 @t331)) % 0.40/0.71 (define @t335 () (@list @t120)) % 0.40/0.71 (define @t336 () (or @t130 @t130 @t47 @t62 @t122 @t129)) % 0.40/0.71 (define @t337 () (forall @t335 @t131)) % 0.40/0.71 (define @t338 () (forall @t41 @t337)) % 0.40/0.71 (define @t339 () (tptp.ssList @t193)) % 0.40/0.71 (define @t340 () (and @t156 @t200)) % 0.40/0.71 (define @t341 () (tptp.rearsegP @t193 tptp.sk6)) % 0.40/0.71 (define @t342 () (not @t339)) % 0.40/0.71 (define @t343 () (or @t240 @t236 @t342 @t341)) % 0.40/0.71 (define @t344 () (@list false false false false)) % 0.40/0.71 (define @t345 () (tptp.rearsegP tptp.nil tptp.sk6)) % 0.40/0.71 (define @t346 () (and @t158 @t160 @t200 @t341)) % 0.40/0.71 (define @t347 () (= tptp.nil tptp.sk6)) % 0.40/0.71 (define @t348 () (not @t345)) % 0.40/0.71 (define @t349 () (or @t348 @t236 @t347)) % 0.40/0.71 (define @t350 () (and @t158 @t160 @t200 @t235 @t347 @t329)) % 0.40/0.71 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.40/0.71 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.40/0.71 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.40/0.71 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.40/0.71 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.40/0.71 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.40/0.71 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.40/0.71 (assume @p8 @t1) % 0.40/0.71 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.40/0.71 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.40/0.71 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.40/0.71 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.40/0.71 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.40/0.71 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.40/0.71 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.40/0.71 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.40/0.71 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.40/0.71 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.40/0.71 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.40/0.71 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.40/0.71 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.40/0.71 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.40/0.71 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.40/0.71 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.40/0.71 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.40/0.71 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.40/0.71 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.40/0.71 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.40/0.71 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.40/0.71 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.40/0.71 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.40/0.71 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.40/0.71 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.40/0.71 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.40/0.71 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.40/0.71 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.40/0.71 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.40/0.71 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.40/0.71 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.40/0.71 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.40/0.71 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.40/0.71 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.40/0.71 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.40/0.71 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.40/0.71 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.40/0.71 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.40/0.71 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.40/0.71 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.40/0.71 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.40/0.71 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.40/0.71 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.40/0.71 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.40/0.71 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.40/0.71 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.40/0.71 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.40/0.71 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.40/0.71 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.40/0.71 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.40/0.71 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.40/0.71 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.40/0.71 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.40/0.71 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.40/0.71 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.40/0.71 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.40/0.71 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.40/0.71 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.40/0.71 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.40/0.71 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.40/0.71 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.40/0.71 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.40/0.71 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.40/0.71 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.40/0.71 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.40/0.71 (assume @p74 @t53) % 0.40/0.71 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 0.40/0.71 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 0.40/0.71 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 0.40/0.71 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 0.40/0.71 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 0.40/0.71 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 0.40/0.71 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 0.40/0.71 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 0.40/0.71 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 0.40/0.71 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 0.40/0.71 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 0.40/0.71 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 0.40/0.71 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 0.40/0.71 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 0.40/0.71 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 0.40/0.71 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 0.40/0.71 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 0.40/0.71 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 0.40/0.71 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 0.40/0.71 (assume @p94 @t72) % 0.40/0.71 (assume @p95 @t75) % 0.40/0.71 (assume @p96 @t78) % 0.40/0.71 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 0.40/0.71 (assume @p98 @t82) % 0.40/0.71 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.40/0.71 (assume @p100 (forall @t41 (or @t46 @t83 @t80 @t79))) % 0.40/0.71 (assume @p101 (forall @t41 (or @t86 @t83 @t46 @t84))) % 0.40/0.71 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 0.40/0.71 (assume @p103 (forall @t41 (or @t88 @t83 @t46 @t87))) % 0.40/0.71 (assume @p104 (forall @t41 (or @t86 @t46 @t83 @t89))) % 0.40/0.71 (assume @p105 (forall @t41 (or @t91 @t83 @t46 @t90))) % 0.40/0.71 (assume @p106 (forall @t41 (or @t93 @t46 @t83 @t92))) % 0.40/0.71 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 0.40/0.71 (assume @p108 (forall @t41 (or @t88 (not @t89) @t46 @t83))) % 0.40/0.71 (assume @p109 (forall @t41 (or @t95 @t86 @t83 @t46))) % 0.40/0.71 (assume @p110 (forall @t41 (or @t58 @t47 @t83 (tptp.strictorderedP @t96)))) % 0.40/0.71 (assume @p111 (forall @t41 (or @t58 @t47 @t83 (tptp.totalorderedP @t96)))) % 0.40/0.71 (assume @p112 (forall @t41 (or @t86 (not @t87) @t46 @t83))) % 0.40/0.71 (assume @p113 (forall @t41 (or @t95 @t97 @t62 @t47))) % 0.40/0.71 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 0.40/0.71 (assume @p115 (forall @t41 (or @t95 @t97 @t83 @t46))) % 0.40/0.71 (assume @p116 (forall @t41 (or @t100 @t62 @t47 @t54))) % 0.40/0.71 (assume @p117 (forall @t41 (or @t100 @t62 @t47 @t101))) % 0.40/0.71 (assume @p118 @t104) % 0.40/0.71 (assume @p119 (forall @t41 (or @t93 @t83 @t46 @t85 @t94))) % 0.40/0.71 (assume @p120 @t106) % 0.40/0.71 (assume @p121 (forall @t41 (or @t109 @t62 @t46 @t107 @t101))) % 0.40/0.71 (assume @p122 (forall @t41 (or @t112 @t62 @t46 @t110 @t101))) % 0.40/0.71 (assume @p123 (forall @t41 (or @t91 (not @t92) @t46 @t83 @t79))) % 0.40/0.71 (assume @p124 (forall @t41 (or @t113 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t79))) % 0.40/0.71 (assume @p125 (forall @t41 (or @t114 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t79))) % 0.40/0.71 (assume @p126 (forall @t41 (or @t115 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t79))) % 0.40/0.71 (assume @p127 (forall @t41 (or @t93 @t116 @t46 @t83 @t79))) % 0.40/0.71 (assume @p128 (forall @t41 (or @t114 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.40/0.71 (assume @p129 (forall @t41 (or @t115 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.40/0.71 (assume @p130 (forall @t41 (or @t47 @t62 @t101 (= (tptp.tl @t61) (tptp.app @t117 @t2))))) % 0.40/0.71 (assume @p131 (forall @t41 (or @t109 @t62 @t46 @t118 @t101))) % 0.40/0.71 (assume @p132 (forall @t41 (or @t112 @t62 @t46 @t119 @t101))) % 0.40/0.71 (assume @p133 (forall @t123 (or @t114 @t122 @t62 @t47 (tptp.rearsegP @t121 @t40)))) % 0.40/0.71 (assume @p134 (forall @t123 (or @t115 @t122 @t62 @t47 (tptp.frontsegP @t124 @t40)))) % 0.40/0.71 (assume @p135 (forall @t123 (or @t95 @t122 @t83 @t46 (tptp.memberP @t125 @t2)))) % 0.40/0.71 (assume @p136 (forall @t123 (or @t128 @t47 @t127 @t83 (tptp.memberP @t126 @t40)))) % 0.40/0.71 (assume @p137 (forall @t123 (or @t128 @t122 @t47 @t83 (tptp.memberP @t124 @t40)))) % 0.40/0.71 (assume @p138 (forall @t123 (or @t128 @t47 @t122 @t83 (tptp.memberP @t121 @t40)))) % 0.40/0.71 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.40/0.71 (assume @p140 @t132) % 0.40/0.71 (assume @p141 (forall @t123 (or @t130 @t62 @t47 @t122 (tptp.frontsegP @t120 @t2)))) % 0.40/0.71 (assume @p142 (forall @t41 (or @t58 (not @t101) @t62 @t47 @t99))) % 0.40/0.71 (assume @p143 (forall @t123 (or @t88 (not (tptp.gt @t40 @t120)) @t127 @t83 @t46 (tptp.gt @t2 @t120)))) % 0.40/0.71 (assume @p144 (forall @t123 (or @t93 @t134 @t127 @t83 @t46 @t133))) % 0.40/0.71 (assume @p145 (forall @t123 (or @t91 (not (tptp.geq @t40 @t120)) @t127 @t83 @t46 (tptp.geq @t2 @t120)))) % 0.40/0.71 (assume @p146 (forall @t123 (or @t47 @t62 @t122 (= (tptp.app @t135 @t2) (tptp.app @t120 @t61))))) % 0.40/0.71 (assume @p147 (forall @t123 (or (not (= @t98 @t124)) @t62 @t47 @t122 @t136))) % 0.40/0.71 (assume @p148 (forall @t123 (or (not (= @t98 @t135)) @t47 @t62 @t122 @t137))) % 0.40/0.71 (assume @p149 (forall @t123 (or @t113 (not (tptp.segmentP @t40 @t120)) @t122 @t62 @t47 (tptp.segmentP @t2 @t120)))) % 0.40/0.71 (assume @p150 (forall @t123 (or @t114 (not (tptp.rearsegP @t40 @t120)) @t122 @t62 @t47 (tptp.rearsegP @t2 @t120)))) % 0.40/0.71 (assume @p151 (forall @t123 (or @t115 (not (tptp.frontsegP @t40 @t120)) @t122 @t62 @t47 (tptp.frontsegP @t2 @t120)))) % 0.40/0.71 (assume @p152 (forall @t123 (or @t86 @t134 @t127 @t83 @t46 @t133))) % 0.40/0.71 (assume @p153 (forall @t123 (or @t93 (not (tptp.leq @t40 @t120)) @t127 @t83 @t46 (tptp.leq @t2 @t120)))) % 0.40/0.71 (assume @p154 (forall @t123 (or @t46 @t62 @t122 (= (tptp.cons @t2 (tptp.app @t40 @t120)) (tptp.app @t63 @t120))))) % 0.40/0.71 (assume @p155 (forall @t123 (or (not (tptp.memberP @t98 @t120)) @t62 @t47 @t127 @t138 (tptp.memberP @t2 @t120)))) % 0.40/0.71 (assume @p156 (forall @t41 (or (not @t119) (not @t110) @t62 @t46 @t111 @t101))) % 0.40/0.71 (assume @p157 (forall @t41 (or (not @t118) (not @t107) @t62 @t46 @t108 @t101))) % 0.40/0.71 (assume @p158 (forall @t123 (or (not (tptp.memberP @t63 @t120)) @t62 @t46 @t127 @t138 (= @t120 @t2)))) % 0.40/0.71 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.40/0.71 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.40/0.71 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.40/0.71 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.40/0.71 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.40/0.71 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.40/0.71 (assume @p165 (forall @t41 (or @t113 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.40/0.71 (assume @p166 (forall @t41 (or @t128 @t83 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.40/0.71 (assume @p167 (forall @t143 (or @t142 @t127 @t46 @t140 @t62 @t137))) % 0.40/0.71 (assume @p168 (forall @t143 (or @t142 @t127 @t46 @t140 @t62 (= @t139 @t40)))) % 0.40/0.71 (assume @p169 (forall @t143 (or @t113 @t122 @t140 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t139 @t2) @t120) @t40)))) % 0.40/0.71 (assume @p170 (forall @t143 (or (not (= (tptp.app @t98 @t120) @t139)) @t122 @t47 @t62 @t140 (tptp.segmentP @t139 @t40)))) % 0.40/0.71 (assume @p171 (forall @t143 (or @t144 @t140 @t62 @t127 @t46 (tptp.frontsegP @t40 @t139)))) % 0.40/0.71 (assume @p172 (forall @t143 (or (not (= @t145 @t139)) @t122 @t47 @t83 @t140 (tptp.memberP @t139 @t40)))) % 0.40/0.71 (assume @p173 (forall @t143 (or @t144 @t140 @t62 @t127 @t46 @t137))) % 0.40/0.71 (assume @p174 (forall @t41 (or (not (= @t55 @t117)) (not (= @t56 @t105)) @t47 @t62 @t101 @t94 @t54))) % 0.40/0.71 (assume @p175 (forall @t143 (or @t115 (not (= @t120 @t139)) @t62 @t47 @t146 @t127 (tptp.frontsegP @t126 (tptp.cons @t139 @t40))))) % 0.40/0.71 (assume @p176 (forall @t149 (or (not (= (tptp.app @t145 (tptp.cons @t40 @t139)) @t147)) @t140 @t122 @t47 @t83 (not (tptp.duplicatefreeP @t147)) @t148))) % 0.40/0.71 (assume @p177 (forall @t149 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t141)) @t147)) @t140 @t47 @t127 @t83 (not (tptp.equalelemsP @t147)) @t148 @t136))) % 0.40/0.71 (assume @p178 (forall @t154 (or @t153 @t148 @t122 @t47 @t146 @t83 (not (tptp.strictorderedP @t151)) @t152 @t150))) % 0.40/0.71 (assume @p179 (forall @t154 (or @t153 @t148 @t122 @t47 @t146 @t83 (not (tptp.totalorderedP @t151)) @t152 @t155))) % 0.40/0.71 (assume @p180 (forall @t154 (or @t153 @t148 @t122 @t47 @t146 @t83 (not (tptp.strictorderP @t151)) @t152 @t150 (tptp.lt @t139 @t40)))) % 0.40/0.71 (assume @p181 (forall @t154 (or @t153 @t148 @t122 @t47 @t146 @t83 (not (tptp.totalorderP @t151)) @t152 @t155 (tptp.leq @t139 @t40)))) % 0.40/0.71 (assume @p182 (forall @t154 (or @t93 @t116 (not (= (tptp.app (tptp.app @t120 (tptp.cons @t2 @t139)) (tptp.cons @t40 @t147)) @t151)) @t148 @t140 @t122 @t83 @t46 (not (tptp.cyclefreeP @t151)) @t152))) % 0.40/0.71 (assume @p183 (tptp.ssList tptp.sk1)) % 0.40/0.71 (assume @p184 @t156) % 0.40/0.71 (assume @p185 (tptp.ssList tptp.sk3)) % 0.40/0.71 (assume @p186 @t157) % 0.40/0.71 (assume @p187 @t158) % 0.40/0.71 (assume @p188 @t159) % 0.40/0.71 (assume @p189 (or @t162 @t161)) % 0.40/0.71 (assume @p190 @t186) % 0.40/0.71 (assume @p191 (or @t188 @t187)) % 0.40/0.71 (assume @p192 (or @t188 @t190)) % 0.40/0.71 (assume @p193 (or @t191 @t187)) % 0.40/0.71 (assume @p194 @t195) % 0.40/0.71 (assume @p195 @t198) % 0.40/0.71 (assume @p196 (or @t191 @t190)) % 0.40/0.71 (assume @p197 @t199) % 0.40/0.71 (assume @p198 (or @t197 @t190)) % 0.40/0.71 (step @p199 :rule refl :args (@t187)) % 0.40/0.71 (step @p200 :rule eq-symm :args (@t193 tptp.sk2)) % 0.40/0.71 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t195)) % 0.40/0.71 (step @p202 :rule eq_resolve :premises (@p194 @p201)) % 0.40/0.71 (step @p203 :rule reordering :premises (@p202) :args ((or @t187 @t200))) % 0.40/0.71 (step @p204 :rule refl :args (@t190)) % 0.40/0.71 (step @p205 :rule nary_cong :premises (@p200 @p204) :args (@t199)) % 0.40/0.71 (step @p206 :rule eq_resolve :premises (@p197 @p205)) % 0.40/0.71 (step @p207 :rule reordering :premises (@p206) :args ((or @t190 @t200))) % 0.40/0.71 (assume-push @p786 @t158) % 0.40/0.71 (assume-push @p787 @t187) % 0.40/0.71 (assume-push @p788 @t158) % 0.40/0.71 (assume-push @p789 @t187) % 0.40/0.71 (step @p212 :rule trans :premises (@p787 @p187)) % 0.40/0.71 (step-pop @p790 :rule scope :premises (@p212)) % 0.40/0.71 (step-pop @p791 :rule scope :premises (@p790)) % 0.40/0.71 (step @p213 :rule process_scope :premises (@p791) :args (@t160)) % 0.40/0.71 (step @p216 :rule and_intro :premises (@p187 @p787)) % 0.40/0.71 (step @p217 :rule modus_ponens :premises (@p216 @p213)) % 0.40/0.71 (step-pop @p792 :rule scope :premises (@p217)) % 0.40/0.71 (step-pop @p793 :rule scope :premises (@p792)) % 0.40/0.71 (step @p218 :rule process_scope :premises (@p793) :args (@t160)) % 0.40/0.71 (step @p221 :rule implies_elim :premises (@p218)) % 0.40/0.71 (step @p222 :rule cnf_and_neg :args (@t201)) % 0.40/0.71 (step @p223 :rule resolution :premises (@p222 @p221) :args (true @t201)) % 0.40/0.71 (step @p224 :rule reordering :premises (@p223) :args ((or @t160 @t202 (not @t187)))) % 0.40/0.71 (step @p225 :rule refl :args (@t203)) % 0.40/0.71 (step @p226 :rule bool-double-not-elim :args (@t189)) % 0.40/0.71 (step @p227 :rule refl :args (@t204)) % 0.40/0.71 (step @p228 :rule nary_cong :premises (@p227 @p226 @p225) :args ((or @t204 (not @t190) @t203))) % 0.40/0.71 (assume-push @p794 @t159) % 0.40/0.71 (assume-push @p795 @t190) % 0.40/0.71 (assume-push @p796 @t190) % 0.40/0.71 (assume-push @p797 @t159) % 0.40/0.71 (step @p233 :rule false_intro :premises (@p795)) % 0.40/0.71 (step @p234 :rule symm :premises (@p188)) % 0.40/0.71 (step @p235 :rule refl :args (tptp.nil)) % 0.40/0.71 (step @p236 :rule cong :premises (@p235 @p234) :args (@t162)) % 0.40/0.71 (step @p237 :rule trans :premises (@p236 @p233)) % 0.40/0.71 (step @p238 :rule false_elim :premises (@p237)) % 0.40/0.71 (step-pop @p798 :rule scope :premises (@p238)) % 0.40/0.71 (step-pop @p799 :rule scope :premises (@p798)) % 0.40/0.71 (step @p239 :rule process_scope :premises (@p799) :args (@t203)) % 0.40/0.71 (step @p242 :rule and_intro :premises (@p795 @p188)) % 0.40/0.71 (step @p243 :rule modus_ponens :premises (@p242 @p239)) % 0.40/0.71 (step-pop @p800 :rule scope :premises (@p243)) % 0.40/0.71 (step-pop @p801 :rule scope :premises (@p800)) % 0.40/0.71 (step @p244 :rule process_scope :premises (@p801) :args (@t203)) % 0.40/0.71 (step @p247 :rule implies_elim :premises (@p244)) % 0.40/0.71 (step @p248 :rule cnf_and_neg :args (@t205)) % 0.40/0.71 (step @p249 :rule resolution :premises (@p248 @p247) :args (true @t205)) % 0.40/0.71 (step @p250 :rule eq_resolve :premises (@p249 @p228)) % 0.40/0.71 (step @p251 :rule reordering :premises (@p250) :args ((or @t189 @t204 @t203))) % 0.40/0.71 (step @p252 :rule chain_m_resolution :premises (@p189 @p251 @p188 @p224 @p187 @p207 @p203) :args (@t200 (@list true false false false true false) (@list @t162 @t159 @t160 @t158 @t189 @t187))) % 0.40/0.71 (step @p253 :rule instantiate 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0.40/0.71 (step-pop @p918 :rule scope :premises (@p917)) % 0.40/0.71 (step-pop @p919 :rule scope :premises (@p918)) % 0.40/0.71 (step @p733 :rule process_scope :premises (@p919) :args (@t345)) % 0.40/0.71 (step @p738 :rule implies_elim :premises (@p733)) % 0.40/0.71 (step @p739 :rule cnf_and_neg :args (@t346)) % 0.40/0.71 (step @p740 :rule resolution :premises (@p739 @p738) :args (true @t346)) % 0.40/0.71 (step @p741 :rule reordering :premises (@p740) :args ((or @t161 @t202 @t255 @t345 (not @t341)))) % 0.40/0.71 (step @p742 :rule chain_m_resolution :premises (@p741 @p630 @p187 @p252 @p711) :args (@t345 @t344 (@list @t160 @t158 @t200 @t341))) % 0.40/0.71 (step @p743 :rule cnf_or_pos :args (@t349)) % 0.40/0.71 (step @p744 :rule reordering :premises (@p743) :args ((or @t236 @t347 @t348 (not @t349)))) % 0.40/0.71 (step @p745 :rule chain_m_resolution :premises (@p744 @p636 @p742 @p657) :args (@t347 @t325 (@list @t191 @t345 @t349))) % 0.40/0.71 (assume-push @p920 @t158) % 0.40/0.71 (assume-push @p921 @t160) % 0.40/0.71 (assume-push @p922 @t200) % 0.40/0.71 (assume-push @p923 @t235) % 0.40/0.71 (assume-push @p924 @t347) % 0.40/0.71 (assume-push @p925 @t329) % 0.40/0.71 (assume-push @p926 @t347) % 0.40/0.71 (assume-push @p927 @t235) % 0.40/0.71 (assume-push @p928 @t329) % 0.40/0.71 (assume-push @p929 @t200) % 0.40/0.71 (assume-push @p930 @t158) % 0.40/0.71 (assume-push @p931 @t160) % 0.40/0.71 (step @p758 :rule symm :premises (@p924)) % 0.40/0.71 (step @p759 :rule symm :premises (@p923)) % 0.40/0.71 (step @p760 :rule trans :premises (@p759 @p758)) % 0.40/0.71 (step @p761 :rule refl :args (tptp.sk5)) % 0.40/0.71 (step @p762 :rule cong :premises (@p761 @p760) :args ((tptp.cons tptp.sk5 @t234))) % 0.40/0.71 (step @p763 :rule cong :premises (@p761 @p923) :args (@t326)) % 0.40/0.71 (step @p359 :rule symm :premises (@p187)) % 0.40/0.71 (step @p764 :rule trans :premises (@p921 @p359 @p922 @p925 @p763 @p762)) % 0.40/0.71 (step-pop @p932 :rule scope :premises (@p764)) % 0.40/0.71 (step-pop @p933 :rule scope :premises (@p932)) % 0.40/0.71 (step-pop @p934 :rule scope :premises (@p933)) % 0.40/0.71 (step-pop @p935 :rule scope :premises (@p934)) % 0.40/0.71 (step-pop @p936 :rule scope :premises (@p935)) % 0.40/0.71 (step-pop @p937 :rule scope :premises (@p936)) % 0.40/0.71 (step @p765 :rule process_scope :premises (@p937) :args (@t230)) % 0.40/0.71 (step @p772 :rule and_intro :premises (@p924 @p923 @p925 @p922 @p187 @p921)) % 0.40/0.71 (step @p773 :rule modus_ponens :premises (@p772 @p765)) % 0.40/0.71 (step-pop @p938 :rule scope :premises (@p773)) % 0.40/0.71 (step-pop @p939 :rule scope :premises (@p938)) % 0.40/0.71 (step-pop @p940 :rule scope :premises (@p939)) % 0.40/0.71 (step-pop @p941 :rule scope :premises (@p940)) % 0.40/0.71 (step-pop @p942 :rule scope :premises (@p941)) % 0.40/0.71 (step-pop @p943 :rule scope :premises (@p942)) % 0.40/0.71 (step @p774 :rule process_scope :premises (@p943) :args (@t230)) % 0.40/0.71 (step @p781 :rule implies_elim :premises (@p774)) % 0.40/0.71 (step @p782 :rule cnf_and_neg :args (@t350)) % 0.40/0.71 (step @p783 :rule resolution :premises (@p782 @p781) :args (true @t350)) % 0.40/0.71 (step @p784 :rule reordering :premises (@p783) :args ((or @t161 @t202 @t255 @t230 @t261 (not @t347) (not @t329)))) % 0.40/0.71 (step @p785 false :rule chain_m_resolution :premises (@p784 @p745 @p656 @p637 @p634 @p630 @p252 @p187) :args (false (@list false false false true false false false) (@list @t347 @t329 @t235 @t230 @t160 @t200 @t158))) % 0.40/0.71 ) % 0.40/0.71 % SZS output end Proof % 0.40/0.71 % cvc5 exiting %------------------------------------------------------------------------------