%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC114-1 : 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 : n010.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 08:58:06 AM UTC 2026 % Result : Unsatisfiable 13.12s 13.37s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC114-1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n010.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:15:40 EDT 2026 % 0.15/0.34 % CPUTime : % 0.26/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 13.12/13.37 % SZS status Unsatisfiable % 13.12/13.37 % SZS output start Proof % 13.12/13.38 ( % 13.12/13.38 (declare-sort $$unsorted 0) % 13.12/13.38 (declare-const tptp.sk5 $$unsorted) % 13.12/13.38 (declare-const tptp.sk4 $$unsorted) % 13.12/13.38 (declare-const tptp.sk2 $$unsorted) % 13.12/13.38 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.nil $$unsorted) % 13.12/13.38 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.sk1 $$unsorted) % 13.12/13.38 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.skac2 $$unsorted) % 13.12/13.38 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.sk3 $$unsorted) % 13.12/13.38 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.ssList (-> $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skac3 $$unsorted) % 13.12/13.38 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 13.12/13.38 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 13.12/13.38 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 13.12/13.38 (define @t1 () (tptp.ssList tptp.nil)) % 13.12/13.38 (define @t2 () (@var "U" $$unsorted)) % 13.12/13.38 (define @t3 () (tptp.skaf83 @t2)) % 13.12/13.38 (define @t4 () (@list @t2)) % 13.12/13.38 (define @t5 () (tptp.skaf82 @t2)) % 13.12/13.38 (define @t6 () (tptp.skaf81 @t2)) % 13.12/13.38 (define @t7 () (tptp.skaf80 @t2)) % 13.12/13.38 (define @t8 () (tptp.skaf79 @t2)) % 13.12/13.38 (define @t9 () (tptp.skaf78 @t2)) % 13.12/13.38 (define @t10 () (tptp.skaf77 @t2)) % 13.12/13.38 (define @t11 () (tptp.skaf76 @t2)) % 13.12/13.38 (define @t12 () (tptp.skaf75 @t2)) % 13.12/13.38 (define @t13 () (tptp.skaf74 @t2)) % 13.12/13.38 (define @t14 () (tptp.skaf73 @t2)) % 13.12/13.38 (define @t15 () (tptp.skaf72 @t2)) % 13.12/13.38 (define @t16 () (tptp.skaf71 @t2)) % 13.12/13.38 (define @t17 () (tptp.skaf70 @t2)) % 13.12/13.38 (define @t18 () (tptp.skaf69 @t2)) % 13.12/13.38 (define @t19 () (tptp.skaf68 @t2)) % 13.12/13.38 (define @t20 () (tptp.skaf67 @t2)) % 13.12/13.38 (define @t21 () (tptp.skaf66 @t2)) % 13.12/13.38 (define @t22 () (tptp.skaf65 @t2)) % 13.12/13.38 (define @t23 () (tptp.skaf64 @t2)) % 13.12/13.38 (define @t24 () (tptp.skaf63 @t2)) % 13.12/13.38 (define @t25 () (tptp.skaf62 @t2)) % 13.12/13.38 (define @t26 () (tptp.skaf61 @t2)) % 13.12/13.38 (define @t27 () (tptp.skaf60 @t2)) % 13.12/13.38 (define @t28 () (tptp.skaf59 @t2)) % 13.12/13.38 (define @t29 () (tptp.skaf58 @t2)) % 13.12/13.38 (define @t30 () (tptp.skaf57 @t2)) % 13.12/13.38 (define @t31 () (tptp.skaf56 @t2)) % 13.12/13.38 (define @t32 () (tptp.skaf55 @t2)) % 13.12/13.38 (define @t33 () (tptp.skaf54 @t2)) % 13.12/13.38 (define @t34 () (tptp.skaf53 @t2)) % 13.12/13.38 (define @t35 () (tptp.skaf52 @t2)) % 13.12/13.38 (define @t36 () (tptp.skaf51 @t2)) % 13.12/13.38 (define @t37 () (tptp.skaf50 @t2)) % 13.12/13.38 (define @t38 () (tptp.skaf49 @t2)) % 13.12/13.38 (define @t39 () (tptp.skaf44 @t2)) % 13.12/13.38 (define @t40 () (@var "V" $$unsorted)) % 13.12/13.38 (define @t41 () (@list @t2 @t40)) % 13.12/13.38 (define @t42 () (tptp.skaf47 @t2 @t40)) % 13.12/13.38 (define @t43 () (tptp.skaf46 @t2 @t40)) % 13.12/13.38 (define @t44 () (tptp.skaf45 @t2 @t40)) % 13.12/13.38 (define @t45 () (tptp.skaf42 @t2 @t40)) % 13.12/13.38 (define @t46 () (not (tptp.ssItem @t2))) % 13.12/13.38 (define @t47 () (not (tptp.ssList @t2))) % 13.12/13.38 (define @t48 () (tptp.cons @t2 tptp.nil)) % 13.12/13.38 (define @t49 () (tptp.ssItem @t40)) % 13.12/13.38 (define @t50 () (tptp.duplicatefreeP @t2)) % 13.12/13.38 (define @t51 () (= tptp.nil @t2)) % 13.12/13.38 (define @t52 () (tptp.tl @t2)) % 13.12/13.38 (define @t53 () (tptp.hd @t2)) % 13.12/13.38 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 13.12/13.38 (define @t55 () (not @t51)) % 13.12/13.38 (define @t56 () (or @t55 @t47 @t54)) % 13.12/13.38 (define @t57 () (forall @t4 @t56)) % 13.12/13.38 (define @t58 () (tptp.rearsegP tptp.nil @t2)) % 13.12/13.38 (define @t59 () (tptp.frontsegP tptp.nil @t2)) % 13.12/13.38 (define @t60 () (tptp.app @t40 @t2)) % 13.12/13.38 (define @t61 () (not (tptp.ssList @t40))) % 13.12/13.38 (define @t62 () (tptp.cons @t2 @t40)) % 13.12/13.38 (define @t63 () (tptp.cyclefreeP @t2)) % 13.12/13.38 (define @t64 () (tptp.equalelemsP @t2)) % 13.12/13.38 (define @t65 () (tptp.strictorderedP @t2)) % 13.12/13.38 (define @t66 () (tptp.totalorderedP @t2)) % 13.12/13.38 (define @t67 () (tptp.strictorderP @t2)) % 13.12/13.38 (define @t68 () (tptp.totalorderP @t2)) % 13.12/13.38 (define @t69 () (not (= @t62 tptp.nil))) % 13.12/13.38 (define @t70 () (or @t69 @t46 @t61)) % 13.12/13.38 (define @t71 () (forall @t41 @t70)) % 13.12/13.38 (define @t72 () (= @t40 @t2)) % 13.12/13.38 (define @t73 () (tptp.neq @t40 @t2)) % 13.12/13.38 (define @t74 () (or @t47 @t61 @t73 @t72)) % 13.12/13.38 (define @t75 () (forall @t41 @t74)) % 13.12/13.38 (define @t76 () (not @t49)) % 13.12/13.38 (define @t77 () (tptp.leq @t2 @t40)) % 13.12/13.38 (define @t78 () (tptp.lt @t2 @t40)) % 13.12/13.38 (define @t79 () (not @t78)) % 13.12/13.38 (define @t80 () (tptp.lt @t40 @t2)) % 13.12/13.38 (define @t81 () (not (tptp.gt @t2 @t40))) % 13.12/13.38 (define @t82 () (tptp.gt @t40 @t2)) % 13.12/13.38 (define @t83 () (tptp.leq @t40 @t2)) % 13.12/13.38 (define @t84 () (not (tptp.geq @t2 @t40))) % 13.12/13.38 (define @t85 () (tptp.geq @t40 @t2)) % 13.12/13.38 (define @t86 () (not @t77)) % 13.12/13.38 (define @t87 () (= @t2 @t40)) % 13.12/13.38 (define @t88 () (not @t87)) % 13.12/13.38 (define @t89 () (tptp.cons @t40 @t2)) % 13.12/13.38 (define @t90 () (not (tptp.neq @t2 @t40))) % 13.12/13.38 (define @t91 () (tptp.app @t2 @t40)) % 13.12/13.38 (define @t92 () (= @t91 tptp.nil)) % 13.12/13.38 (define @t93 () (not @t92)) % 13.12/13.38 (define @t94 () (or @t93 @t61 @t47 @t51)) % 13.12/13.38 (define @t95 () (forall @t41 @t94)) % 13.12/13.38 (define @t96 () (= tptp.nil @t40)) % 13.12/13.38 (define @t97 () (tptp.app @t48 @t40)) % 13.12/13.38 (define @t98 () (or @t46 @t61 (= @t97 @t62))) % 13.12/13.38 (define @t99 () (forall @t41 @t98)) % 13.12/13.38 (define @t100 () (tptp.hd @t40)) % 13.12/13.38 (define @t101 () (tptp.strictorderedP @t40)) % 13.12/13.38 (define @t102 () (tptp.strictorderedP @t62)) % 13.12/13.38 (define @t103 () (not @t102)) % 13.12/13.38 (define @t104 () (tptp.totalorderedP @t40)) % 13.12/13.38 (define @t105 () (tptp.totalorderedP @t62)) % 13.12/13.38 (define @t106 () (not @t105)) % 13.12/13.38 (define @t107 () (not (tptp.segmentP @t2 @t40))) % 13.12/13.38 (define @t108 () (not (tptp.rearsegP @t2 @t40))) % 13.12/13.38 (define @t109 () (not (tptp.frontsegP @t2 @t40))) % 13.12/13.38 (define @t110 () (not @t83)) % 13.12/13.38 (define @t111 () (tptp.tl @t40)) % 13.12/13.38 (define @t112 () (tptp.lt @t2 @t100)) % 13.12/13.38 (define @t113 () (tptp.leq @t2 @t100)) % 13.12/13.38 (define @t114 () (@var "W" $$unsorted)) % 13.12/13.38 (define @t115 () (tptp.app @t114 @t2)) % 13.12/13.38 (define @t116 () (not (tptp.ssList @t114))) % 13.12/13.38 (define @t117 () (@list @t2 @t40 @t114)) % 13.12/13.38 (define @t118 () (tptp.app @t2 @t114)) % 13.12/13.38 (define @t119 () (tptp.cons @t40 @t114)) % 13.12/13.38 (define @t120 () (tptp.cons @t114 @t2)) % 13.12/13.38 (define @t121 () (not (tptp.ssItem @t114))) % 13.12/13.38 (define @t122 () (not (tptp.memberP @t2 @t40))) % 13.12/13.38 (define @t123 () (not (= @t91 @t114))) % 13.12/13.38 (define @t124 () (tptp.lt @t2 @t114)) % 13.12/13.38 (define @t125 () (not (tptp.lt @t40 @t114))) % 13.12/13.38 (define @t126 () (tptp.app @t114 @t40)) % 13.12/13.38 (define @t127 () (= @t40 @t114)) % 13.12/13.38 (define @t128 () (= @t2 @t114)) % 13.12/13.38 (define @t129 () (tptp.memberP @t40 @t114)) % 13.12/13.38 (define @t130 () (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2))) % 13.12/13.38 (define @t131 () (or @t107 @t61 @t47 (= @t130 @t2))) % 13.12/13.38 (define @t132 () (forall @t41 @t131)) % 13.12/13.38 (define @t133 () (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2)))) % 13.12/13.38 (define @t134 () (or @t122 @t76 @t47 (= @t133 @t2))) % 13.12/13.38 (define @t135 () (forall @t41 @t134)) % 13.12/13.38 (define @t136 () (@var "X" $$unsorted)) % 13.12/13.38 (define @t137 () (not (tptp.ssList @t136))) % 13.12/13.38 (define @t138 () (tptp.cons @t114 @t136)) % 13.12/13.38 (define @t139 () (not (= @t62 @t138))) % 13.12/13.38 (define @t140 () (@list @t2 @t40 @t114 @t136)) % 13.12/13.38 (define @t141 () (tptp.segmentP @t136 @t40)) % 13.12/13.38 (define @t142 () (tptp.app @t91 @t114)) % 13.12/13.38 (define @t143 () (not (= @t142 @t136))) % 13.12/13.38 (define @t144 () (or @t143 @t116 @t47 @t61 @t137 @t141)) % 13.12/13.38 (define @t145 () (forall @t140 @t144)) % 13.12/13.38 (define @t146 () (not (tptp.frontsegP @t62 @t138))) % 13.12/13.38 (define @t147 () (tptp.app @t2 @t119)) % 13.12/13.38 (define @t148 () (not (tptp.ssItem @t136))) % 13.12/13.38 (define @t149 () (@var "Y" $$unsorted)) % 13.12/13.38 (define @t150 () (not (tptp.ssList @t149))) % 13.12/13.38 (define @t151 () (@list @t2 @t40 @t114 @t136 @t149)) % 13.12/13.38 (define @t152 () (tptp.lt @t40 @t136)) % 13.12/13.38 (define @t153 () (@var "Z" $$unsorted)) % 13.12/13.38 (define @t154 () (not (tptp.ssList @t153))) % 13.12/13.38 (define @t155 () (not (= (tptp.app @t147 (tptp.cons @t136 @t149)) @t153))) % 13.12/13.38 (define @t156 () (@list @t2 @t40 @t114 @t136 @t149 @t153)) % 13.12/13.38 (define @t157 () (tptp.leq @t40 @t136)) % 13.12/13.38 (define @t158 () (tptp.ssList tptp.sk1)) % 13.12/13.38 (define @t159 () (tptp.ssList tptp.sk2)) % 13.12/13.38 (define @t160 () (tptp.ssList tptp.sk4)) % 13.12/13.38 (define @t161 () (= tptp.sk2 tptp.sk4)) % 13.12/13.38 (define @t162 () (= tptp.sk1 tptp.sk3)) % 13.12/13.38 (define @t163 () (= tptp.nil tptp.sk1)) % 13.12/13.38 (define @t164 () (not @t163)) % 13.12/13.38 (define @t165 () (= tptp.nil tptp.sk2)) % 13.12/13.38 (define @t166 () (= tptp.nil tptp.sk4)) % 13.12/13.38 (define @t167 () (tptp.ssItem tptp.sk5)) % 13.12/13.38 (define @t168 () (= tptp.nil tptp.sk3)) % 13.12/13.38 (define @t169 () (tptp.cons tptp.sk5 tptp.nil)) % 13.12/13.38 (define @t170 () (= @t169 tptp.sk3)) % 13.12/13.38 (define @t171 () (or @t170 @t166)) % 13.12/13.38 (define @t172 () (tptp.memberP tptp.sk4 tptp.sk5)) % 13.12/13.38 (define @t173 () (@var "A" $$unsorted)) % 13.12/13.38 (define @t174 () (not (tptp.leq tptp.sk5 @t173))) % 13.12/13.38 (define @t175 () (not (tptp.memberP tptp.sk4 @t173))) % 13.12/13.38 (define @t176 () (= tptp.sk5 @t173)) % 13.12/13.38 (define @t177 () (not (tptp.ssItem @t173))) % 13.12/13.38 (define @t178 () (@list @t173)) % 13.12/13.38 (define @t179 () (or @t170 @t168)) % 13.12/13.38 (define @t180 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 13.12/13.38 (define @t181 () (not @t180)) % 13.12/13.38 (define @t182 () (tptp.neq tptp.sk1 tptp.nil)) % 13.12/13.38 (define @t183 () (@list tptp.sk4 tptp.sk5)) % 13.12/13.38 (define @t184 () (tptp.skaf48 tptp.nil tptp.nil)) % 13.12/13.38 (define @t185 () (tptp.skaf47 tptp.nil tptp.nil)) % 13.12/13.38 (define @t186 () (tptp.app @t185 tptp.nil)) % 13.12/13.38 (define @t187 () (@list tptp.nil tptp.nil)) % 13.12/13.38 (define @t188 () (tptp.ssList @t186)) % 13.12/13.38 (define @t189 () (tptp.ssList @t185)) % 13.12/13.38 (define @t190 () (not @t189)) % 13.12/13.38 (define @t191 () (not @t1)) % 13.12/13.38 (define @t192 () (or @t191 @t190 @t188)) % 13.12/13.38 (define @t193 () (@list false false false)) % 13.12/13.38 (define @t194 () (tptp.segmentP tptp.nil tptp.nil)) % 13.12/13.38 (define @t195 () (not (= tptp.nil tptp.nil))) % 13.12/13.38 (define @t196 () (or @t195 @t191 @t194)) % 13.12/13.38 (define @t197 () (or @t55 @t55 @t47 @t54)) % 13.12/13.38 (define @t198 () (@list false)) % 13.12/13.38 (define @t199 () (= tptp.nil (tptp.app @t186 @t184))) % 13.12/13.38 (define @t200 () (not @t194)) % 13.12/13.38 (define @t201 () (or @t200 @t191 @t191 @t199)) % 13.12/13.38 (define @t202 () (= tptp.nil @t186)) % 13.12/13.38 (define @t203 () (not @t188)) % 13.12/13.38 (define @t204 () (tptp.ssList @t184)) % 13.12/13.38 (define @t205 () (not @t204)) % 13.12/13.38 (define @t206 () (not @t199)) % 13.12/13.38 (define @t207 () (or @t206 @t205 @t203 @t202)) % 13.12/13.38 (define @t208 () (@list false false false false)) % 13.12/13.38 (define @t209 () (= tptp.sk3 @t169)) % 13.12/13.38 (define @t210 () (not @t167)) % 13.12/13.38 (define @t211 () (= tptp.nil @t169)) % 13.12/13.38 (define @t212 () (not @t211)) % 13.12/13.38 (define @t213 () (or @t212 @t210 @t191)) % 13.12/13.38 (define @t214 () (tptp.skaf43 tptp.sk5 tptp.sk4)) % 13.12/13.38 (define @t215 () (tptp.app @t169 @t214)) % 13.12/13.38 (define @t216 () (tptp.cons tptp.sk5 @t214)) % 13.12/13.38 (define @t217 () (= @t216 @t215)) % 13.12/13.38 (define @t218 () (tptp.ssList @t214)) % 13.12/13.38 (define @t219 () (not @t218)) % 13.12/13.38 (define @t220 () (or @t210 @t219 @t217)) % 13.12/13.38 (define @t221 () (tptp.skaf42 tptp.sk4 tptp.sk5)) % 13.12/13.38 (define @t222 () (= tptp.sk4 (tptp.app @t221 @t216))) % 13.12/13.38 (define @t223 () (not @t160)) % 13.12/13.38 (define @t224 () (not @t172)) % 13.12/13.38 (define @t225 () (or @t224 @t210 @t223 @t222)) % 13.12/13.38 (define @t226 () (not @t209)) % 13.12/13.38 (define @t227 () (not @t162)) % 13.12/13.38 (define @t228 () (and @t162 @t209 @t212)) % 13.12/13.38 (define @t229 () (tptp.cons tptp.sk5 @t186)) % 13.12/13.38 (define @t230 () (tptp.ssList @t169)) % 13.12/13.38 (define @t231 () (and @t158 @t162 @t209 @t202)) % 13.12/13.38 (define @t232 () (not @t158)) % 13.12/13.38 (define @t233 () (or @t191 @t232 @t182 @t163)) % 13.12/13.38 (define @t234 () (tptp.app @t221 @t215)) % 13.12/13.38 (define @t235 () (tptp.app (tptp.app @t221 @t169) @t214)) % 13.12/13.38 (define @t236 () (= @t235 @t234)) % 13.12/13.38 (define @t237 () (tptp.ssList @t221)) % 13.12/13.38 (define @t238 () (not @t237)) % 13.12/13.38 (define @t239 () (not @t230)) % 13.12/13.38 (define @t240 () (or @t219 @t239 @t238 @t236)) % 13.12/13.38 (define @t241 () (tptp.ssList @t235)) % 13.12/13.38 (define @t242 () (and @t159 @t161 @t222 @t217 @t236)) % 13.12/13.38 (define @t243 () (tptp.segmentP @t235 @t169)) % 13.12/13.38 (define @t244 () (not @t243)) % 13.12/13.38 (define @t245 () (not @t236)) % 13.12/13.38 (define @t246 () (not @t217)) % 13.12/13.38 (define @t247 () (not @t222)) % 13.12/13.38 (define @t248 () (not @t161)) % 13.12/13.38 (define @t249 () (not @t181)) % 13.12/13.38 (define @t250 () (and @t161 @t162 @t181 @t209 @t222 @t217 @t236)) % 13.12/13.38 (define @t251 () (tptp.segmentP @t142 @t40)) % 13.12/13.38 (define @t252 () (not (tptp.ssList @t142))) % 13.12/13.38 (define @t253 () (not (= @t142 @t142))) % 13.12/13.38 (define @t254 () (or @t253 @t116 @t47 @t61 @t252 @t251)) % 13.12/13.38 (define @t255 () (not (= @t136 @t142))) % 13.12/13.38 (define @t256 () (or @t255 @t255 @t116 @t47 @t61 @t137 @t141)) % 13.12/13.38 (define @t257 () (@list @t136)) % 13.12/13.38 (define @t258 () (or @t255 @t116 @t47 @t61 @t137 @t141)) % 13.12/13.38 (define @t259 () (forall @t257 @t258)) % 13.12/13.38 (define @t260 () (forall @t117 @t259)) % 13.12/13.38 (define @t261 () (not @t241)) % 13.12/13.38 (define @t262 () (or @t219 @t238 @t239 @t261 @t243)) % 13.12/13.38 (define @t263 () (and @t161 @t166)) % 13.12/13.38 (define @t264 () (not @t166)) % 13.12/13.38 (define @t265 () (not @t168)) % 13.12/13.38 (define @t266 () (and @t194 @t166 @t161 @t168 @t162 @t181)) % 13.12/13.38 (define @t267 () (@list true)) % 13.12/13.38 (define @t268 () (@list @t168)) % 13.12/13.38 (assume @p1 (tptp.equalelemsP tptp.nil)) % 13.12/13.38 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 13.12/13.38 (assume @p3 (tptp.strictorderedP tptp.nil)) % 13.12/13.38 (assume @p4 (tptp.totalorderedP tptp.nil)) % 13.12/13.38 (assume @p5 (tptp.strictorderP tptp.nil)) % 13.12/13.38 (assume @p6 (tptp.totalorderP tptp.nil)) % 13.12/13.38 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 13.12/13.38 (assume @p8 @t1) % 13.12/13.38 (assume @p9 (tptp.ssItem tptp.skac3)) % 13.12/13.38 (assume @p10 (tptp.ssItem tptp.skac2)) % 13.12/13.38 (assume @p11 (not (tptp.singletonP tptp.nil))) % 13.12/13.38 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 13.12/13.38 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 13.12/13.38 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 13.12/13.38 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 13.12/13.38 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 13.12/13.38 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 13.12/13.38 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 13.12/13.38 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 13.12/13.38 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 13.12/13.38 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 13.12/13.38 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 13.12/13.38 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 13.12/13.38 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 13.12/13.38 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 13.12/13.38 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 13.12/13.38 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 13.12/13.38 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 13.12/13.38 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 13.12/13.38 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 13.12/13.38 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 13.12/13.38 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 13.12/13.38 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 13.12/13.38 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 13.12/13.38 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 13.12/13.38 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 13.12/13.38 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 13.12/13.38 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 13.12/13.38 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 13.12/13.38 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 13.12/13.38 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 13.12/13.38 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 13.12/13.38 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 13.12/13.38 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 13.12/13.38 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 13.12/13.38 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 13.12/13.38 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 13.12/13.38 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 13.12/13.38 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 13.12/13.38 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 13.12/13.38 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 13.12/13.38 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 13.12/13.38 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 13.12/13.38 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 13.12/13.38 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 13.12/13.38 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 13.12/13.38 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 13.12/13.38 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 13.12/13.38 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 13.12/13.38 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 13.12/13.38 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 13.12/13.38 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 13.12/13.38 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 13.12/13.38 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 13.12/13.38 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 13.12/13.38 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 13.12/13.38 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 13.12/13.38 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 13.12/13.38 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 13.12/13.38 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 13.12/13.38 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 13.12/13.38 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 13.12/13.38 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 13.12/13.38 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 13.12/13.38 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 13.12/13.38 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 13.12/13.38 (assume @p77 @t57) % 13.12/13.38 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 13.12/13.38 (assume @p79 (forall @t4 (or @t55 @t47 @t58))) % 13.12/13.38 (assume @p80 (forall @t4 (or (not @t58) @t47 @t51))) % 13.12/13.38 (assume @p81 (forall @t4 (or @t55 @t47 @t59))) % 13.12/13.38 (assume @p82 (forall @t4 (or (not @t59) @t47 @t51))) % 13.12/13.38 (assume @p83 (forall @t41 (or @t47 @t61 (tptp.ssList @t60)))) % 13.12/13.38 (assume @p84 (forall @t41 (or @t46 @t61 (tptp.ssList @t62)))) % 13.12/13.38 (assume @p85 (forall @t4 (or @t47 @t63 (tptp.leq @t37 @t38)))) % 13.12/13.38 (assume @p86 (forall @t4 (or @t47 @t63 (tptp.leq @t38 @t37)))) % 13.12/13.38 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t64))) % 13.12/13.38 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t65))) % 13.12/13.38 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t66))) % 13.12/13.38 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t67))) % 13.12/13.38 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t67))) % 13.12/13.38 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t68))) % 13.12/13.38 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t68))) % 13.12/13.38 (assume @p94 (forall @t41 (or @t46 @t61 (= (tptp.tl @t62) @t40)))) % 13.12/13.38 (assume @p95 (forall @t41 (or @t46 @t61 (= (tptp.hd @t62) @t2)))) % 13.12/13.38 (assume @p96 @t71) % 13.12/13.38 (assume @p97 (forall @t41 (or (not (= @t62 @t40)) @t46 @t61))) % 13.12/13.38 (assume @p98 @t75) % 13.12/13.38 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 13.12/13.38 (assume @p100 (forall @t41 (or @t46 @t76 @t73 @t72))) % 13.12/13.38 (assume @p101 (forall @t41 (or @t79 @t76 @t46 @t77))) % 13.12/13.38 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 13.12/13.38 (assume @p103 (forall @t41 (or @t81 @t76 @t46 @t80))) % 13.12/13.38 (assume @p104 (forall @t41 (or @t79 @t46 @t76 @t82))) % 13.12/13.38 (assume @p105 (forall @t41 (or @t84 @t76 @t46 @t83))) % 13.12/13.38 (assume @p106 (forall @t41 (or @t86 @t46 @t76 @t85))) % 13.12/13.38 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 13.12/13.38 (assume @p108 (forall @t41 (or @t81 (not @t82) @t46 @t76))) % 13.12/13.38 (assume @p109 (forall @t41 (or @t88 @t79 @t76 @t46))) % 13.12/13.38 (assume @p110 (forall @t41 (or @t55 @t47 @t76 (tptp.strictorderedP @t89)))) % 13.12/13.38 (assume @p111 (forall @t41 (or @t55 @t47 @t76 (tptp.totalorderedP @t89)))) % 13.12/13.38 (assume @p112 (forall @t41 (or @t79 (not @t80) @t46 @t76))) % 13.12/13.38 (assume @p113 (forall @t41 (or @t88 @t90 @t61 @t47))) % 13.12/13.38 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t61 (tptp.singletonP @t40)))) % 13.12/13.38 (assume @p115 (forall @t41 (or @t88 @t90 @t76 @t46))) % 13.12/13.38 (assume @p116 @t95) % 13.12/13.38 (assume @p117 (forall @t41 (or @t93 @t61 @t47 @t96))) % 13.12/13.38 (assume @p118 @t99) % 13.12/13.38 (assume @p119 (forall @t41 (or @t86 @t76 @t46 @t78 @t87))) % 13.12/13.38 (assume @p120 (forall @t41 (or @t47 @t61 @t96 (= (tptp.hd @t60) @t100)))) % 13.12/13.38 (assume @p121 (forall @t41 (or @t103 @t61 @t46 @t101 @t96))) % 13.12/13.38 (assume @p122 (forall @t41 (or @t106 @t61 @t46 @t104 @t96))) % 13.12/13.38 (assume @p123 (forall @t41 (or @t84 (not @t85) @t46 @t76 @t72))) % 13.12/13.38 (assume @p124 (forall @t41 (or @t107 (not (tptp.segmentP @t40 @t2)) @t47 @t61 @t72))) % 13.12/13.38 (assume @p125 (forall @t41 (or @t108 (not (tptp.rearsegP @t40 @t2)) @t47 @t61 @t72))) % 13.12/13.38 (assume @p126 (forall @t41 (or @t109 (not (tptp.frontsegP @t40 @t2)) @t47 @t61 @t72))) % 13.12/13.38 (assume @p127 (forall @t41 (or @t86 @t110 @t46 @t76 @t72))) % 13.12/13.38 (assume @p128 (forall @t41 (or @t108 @t61 @t47 (= (tptp.app @t43 @t40) @t2)))) % 13.12/13.38 (assume @p129 (forall @t41 (or @t109 @t61 @t47 (= (tptp.app @t40 @t44) @t2)))) % 13.12/13.38 (assume @p130 (forall @t41 (or @t47 @t61 @t96 (= (tptp.tl @t60) (tptp.app @t111 @t2))))) % 13.12/13.38 (assume @p131 (forall @t41 (or @t103 @t61 @t46 @t112 @t96))) % 13.12/13.38 (assume @p132 (forall @t41 (or @t106 @t61 @t46 @t113 @t96))) % 13.12/13.38 (assume @p133 (forall @t117 (or @t108 @t116 @t61 @t47 (tptp.rearsegP @t115 @t40)))) % 13.12/13.38 (assume @p134 (forall @t117 (or @t109 @t116 @t61 @t47 (tptp.frontsegP @t118 @t40)))) % 13.12/13.38 (assume @p135 (forall @t117 (or @t88 @t116 @t76 @t46 (tptp.memberP @t119 @t2)))) % 13.12/13.38 (assume @p136 (forall @t117 (or @t122 @t47 @t121 @t76 (tptp.memberP @t120 @t40)))) % 13.12/13.38 (assume @p137 (forall @t117 (or @t122 @t116 @t47 @t76 (tptp.memberP @t118 @t40)))) % 13.12/13.38 (assume @p138 (forall @t117 (or @t122 @t47 @t116 @t76 (tptp.memberP @t115 @t40)))) % 13.12/13.38 (assume @p139 (forall @t4 (or @t47 @t64 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 13.12/13.38 (assume @p140 (forall @t117 (or @t123 @t47 @t61 @t116 (tptp.rearsegP @t114 @t40)))) % 13.12/13.38 (assume @p141 (forall @t117 (or @t123 @t61 @t47 @t116 (tptp.frontsegP @t114 @t2)))) % 13.12/13.38 (assume @p142 (forall @t41 (or @t55 (not @t96) @t61 @t47 @t92))) % 13.12/13.38 (assume @p143 (forall @t117 (or @t81 (not (tptp.gt @t40 @t114)) @t121 @t76 @t46 (tptp.gt @t2 @t114)))) % 13.12/13.38 (assume @p144 (forall @t117 (or @t86 @t125 @t121 @t76 @t46 @t124))) % 13.12/13.38 (assume @p145 (forall @t117 (or @t84 (not (tptp.geq @t40 @t114)) @t121 @t76 @t46 (tptp.geq @t2 @t114)))) % 13.12/13.38 (assume @p146 (forall @t117 (or @t47 @t61 @t116 (= (tptp.app @t126 @t2) (tptp.app @t114 @t60))))) % 13.12/13.38 (assume @p147 (forall @t117 (or (not (= @t91 @t118)) @t61 @t47 @t116 @t127))) % 13.12/13.38 (assume @p148 (forall @t117 (or (not (= @t91 @t126)) @t47 @t61 @t116 @t128))) % 13.12/13.38 (assume @p149 (forall @t117 (or @t107 (not (tptp.segmentP @t40 @t114)) @t116 @t61 @t47 (tptp.segmentP @t2 @t114)))) % 13.12/13.38 (assume @p150 (forall @t117 (or @t108 (not (tptp.rearsegP @t40 @t114)) @t116 @t61 @t47 (tptp.rearsegP @t2 @t114)))) % 13.12/13.38 (assume @p151 (forall @t117 (or @t109 (not (tptp.frontsegP @t40 @t114)) @t116 @t61 @t47 (tptp.frontsegP @t2 @t114)))) % 13.12/13.38 (assume @p152 (forall @t117 (or @t79 @t125 @t121 @t76 @t46 @t124))) % 13.12/13.38 (assume @p153 (forall @t117 (or @t86 (not (tptp.leq @t40 @t114)) @t121 @t76 @t46 (tptp.leq @t2 @t114)))) % 13.12/13.38 (assume @p154 (forall @t117 (or @t46 @t61 @t116 (= (tptp.cons @t2 (tptp.app @t40 @t114)) (tptp.app @t62 @t114))))) % 13.12/13.38 (assume @p155 (forall @t117 (or (not (tptp.memberP @t91 @t114)) @t61 @t47 @t121 @t129 (tptp.memberP @t2 @t114)))) % 13.12/13.38 (assume @p156 (forall @t41 (or (not @t113) (not @t104) @t61 @t46 @t105 @t96))) % 13.12/13.38 (assume @p157 (forall @t41 (or (not @t112) (not @t101) @t61 @t46 @t102 @t96))) % 13.12/13.38 (assume @p158 (forall @t117 (or (not (tptp.memberP @t62 @t114)) @t61 @t46 @t121 @t129 (= @t114 @t2)))) % 13.12/13.38 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 13.12/13.38 (assume @p160 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 13.12/13.38 (assume @p161 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 13.12/13.38 (assume @p162 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 13.12/13.38 (assume @p163 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 13.12/13.38 (assume @p164 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 13.12/13.38 (assume @p165 @t132) % 13.12/13.38 (assume @p166 @t135) % 13.12/13.38 (assume @p167 (forall @t140 (or @t139 @t121 @t46 @t137 @t61 @t128))) % 13.12/13.38 (assume @p168 (forall @t140 (or @t139 @t121 @t46 @t137 @t61 (= @t136 @t40)))) % 13.12/13.38 (assume @p169 (forall @t140 (or @t107 @t116 @t137 @t61 @t47 (tptp.segmentP (tptp.app (tptp.app @t136 @t2) @t114) @t40)))) % 13.12/13.38 (assume @p170 @t145) % 13.12/13.38 (assume @p171 (forall @t140 (or @t146 @t137 @t61 @t121 @t46 (tptp.frontsegP @t40 @t136)))) % 13.12/13.38 (assume @p172 (forall @t140 (or (not (= @t147 @t136)) @t116 @t47 @t76 @t137 (tptp.memberP @t136 @t40)))) % 13.12/13.38 (assume @p173 (forall @t140 (or @t146 @t137 @t61 @t121 @t46 @t128))) % 13.12/13.38 (assume @p174 (forall @t41 (or (not (= @t52 @t111)) (not (= @t53 @t100)) @t47 @t61 @t96 @t87 @t51))) % 13.12/13.38 (assume @p175 (forall @t140 (or @t109 (not (= @t114 @t136)) @t61 @t47 @t148 @t121 (tptp.frontsegP @t120 (tptp.cons @t136 @t40))))) % 13.12/13.38 (assume @p176 (forall @t151 (or (not (= (tptp.app @t147 (tptp.cons @t40 @t136)) @t149)) @t137 @t116 @t47 @t76 (not (tptp.duplicatefreeP @t149)) @t150))) % 13.12/13.38 (assume @p177 (forall @t151 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t138)) @t149)) @t137 @t47 @t121 @t76 (not (tptp.equalelemsP @t149)) @t150 @t127))) % 13.12/13.38 (assume @p178 (forall @t156 (or @t155 @t150 @t116 @t47 @t148 @t76 (not (tptp.strictorderedP @t153)) @t154 @t152))) % 13.12/13.38 (assume @p179 (forall @t156 (or @t155 @t150 @t116 @t47 @t148 @t76 (not (tptp.totalorderedP @t153)) @t154 @t157))) % 13.12/13.38 (assume @p180 (forall @t156 (or @t155 @t150 @t116 @t47 @t148 @t76 (not (tptp.strictorderP @t153)) @t154 @t152 (tptp.lt @t136 @t40)))) % 13.12/13.38 (assume @p181 (forall @t156 (or @t155 @t150 @t116 @t47 @t148 @t76 (not (tptp.totalorderP @t153)) @t154 @t157 (tptp.leq @t136 @t40)))) % 13.12/13.38 (assume @p182 (forall @t156 (or @t86 @t110 (not (= (tptp.app (tptp.app @t114 (tptp.cons @t2 @t136)) (tptp.cons @t40 @t149)) @t153)) @t150 @t137 @t116 @t76 @t46 (not (tptp.cyclefreeP @t153)) @t154))) % 13.12/13.38 (assume @p183 @t158) % 13.12/13.38 (assume @p184 @t159) % 13.12/13.38 (assume @p185 (tptp.ssList tptp.sk3)) % 13.12/13.38 (assume @p186 @t160) % 13.12/13.38 (assume @p187 @t161) % 13.12/13.38 (assume @p188 @t162) % 13.12/13.38 (assume @p189 (or (not @t165) @t164)) % 13.12/13.38 (assume @p190 (or @t167 @t166)) % 13.12/13.38 (assume @p191 (or @t167 @t168)) % 13.12/13.38 (assume @p192 @t171) % 13.12/13.38 (assume @p193 (or @t172 @t166)) % 13.12/13.38 (assume @p194 (forall @t178 (or @t177 @t176 @t175 @t174 @t166))) % 13.12/13.38 (assume @p195 @t179) % 13.12/13.38 (assume @p196 (or @t172 @t168)) % 13.12/13.38 (assume @p197 (forall @t178 (or @t177 @t176 @t175 @t174 @t168))) % 13.12/13.38 (assume @p198 (or (not @t182) @t181)) % 13.12/13.38 (step @p199 :rule instantiate :premises (@p52) :args ((@list tptp.sk5 tptp.sk4))) % 13.12/13.38 (step @p200 :rule instantiate :premises (@p53) :args (@t183)) % 13.12/13.38 (step @p201 :rule refl :args (@t51)) % 13.12/13.38 (step @p202 :rule refl :args (@t47)) % 13.12/13.38 (step @p203 :rule refl :args (@t61)) % 13.12/13.38 (step @p204 :rule eq-symm :args (@t91 tptp.nil)) % 13.12/13.38 (step @p205 :rule cong :premises (@p204) :args (@t93)) % 13.12/13.38 (step @p206 :rule nary_cong :premises (@p205 @p203 @p202 @p201) :args (@t94)) % 13.12/13.38 (step @p207 :rule cong :premises (@p206) :args (@t95)) % 13.12/13.38 (step @p208 :rule eq_resolve :premises (@p116 @p207)) % 13.12/13.38 (step @p209 :rule instantiate :premises (@p208) :args ((@list @t186 @t184))) % 13.12/13.38 (step @p210 :rule instantiate :premises (@p83) :args ((@list tptp.nil @t185))) % 13.12/13.38 (step @p211 :rule instantiate :premises (@p49) :args (@t187)) % 13.12/13.38 (step @p212 :rule cnf_or_pos :args (@t192)) % 13.12/13.38 (step @p213 :rule reordering :premises (@p212) :args ((or @t191 @t190 @t188 (not @t192)))) % 13.12/13.38 (step @p214 :rule chain_m_resolution :premises (@p213 @p8 @p211 @p210) :args (@t188 @t193 (@list @t1 @t189 @t192))) % 13.12/13.38 (step @p215 :rule instantiate :premises (@p48) :args (@t187)) % 13.12/13.38 (step @p216 :rule eq-symm :args (@t130 @t2)) % 13.12/13.38 (step @p217 :rule refl :args (@t107)) % 13.12/13.38 (step @p218 :rule nary_cong :premises (@p217 @p203 @p202 @p216) :args (@t131)) % 13.12/13.38 (step @p219 :rule cong :premises (@p218) :args (@t132)) % 13.12/13.38 (step @p220 :rule eq_resolve :premises (@p165 @p219)) % 13.12/13.38 (step @p221 :rule instantiate :premises (@p220) :args (@t187)) % 13.12/13.38 (step @p222 :rule aci_norm :args ((= (or false @t191 @t194) (or @t191 @t194)))) % 13.12/13.38 (step @p223 :rule refl :args (@t194)) % 13.12/13.38 (step @p224 :rule refl :args (@t191)) % 13.12/13.38 (step @p225 :rule evaluate :args ((not true))) % 13.12/13.38 (step @p226 :rule eq-refl :args (tptp.nil)) % 13.12/13.38 (step @p227 :rule cong :premises (@p226) :args (@t195)) % 13.12/13.38 (step @p228 :rule trans :premises (@p227 @p225)) % 13.12/13.38 (step @p229 :rule nary_cong :premises (@p228 @p224 @p223) :args (@t196)) % 13.12/13.38 (step @p230 :rule trans :premises (@p229 @p222)) % 13.12/13.38 (step @p231 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t55 @t47 @t54)) @t196))) % 13.12/13.38 (step @p232 :rule refl :args (@t54)) % 13.12/13.38 (step @p233 :rule refl :args (@t47)) % 13.12/13.38 (step @p234 :rule refl :args (@t55)) % 13.12/13.38 (step @p235 :rule eq-symm :args (tptp.nil @t2)) % 13.12/13.38 (step @p236 :rule cong :premises (@p235) :args (@t55)) % 13.12/13.38 (step @p237 :rule nary_cong :premises (@p236 @p234 @p233 @p232) :args (@t197)) % 13.12/13.38 (step @p238 :rule aci_norm :args ((= @t56 @t197))) % 13.12/13.38 (step @p239 :rule trans :premises (@p238 @p237)) % 13.12/13.38 (step @p240 :rule cong :premises (@p239) :args (@t57)) % 13.12/13.38 (step @p241 :rule trans :premises (@p240 @p231)) % 13.12/13.38 (step @p242 :rule trans :premises (@p241 @p230)) % 13.12/13.38 (step @p243 :rule eq_resolve :premises (@p77 @p242)) % 13.12/13.38 (step @p244 :rule chain_m_resolution :premises (@p243 @p8) :args (@t194 @t198 (@list @t1))) % 13.12/13.38 (step @p245 :rule cnf_or_pos :args (@t201)) % 13.12/13.38 (step @p246 :rule factoring :premises (@p245)) % 13.12/13.38 (step @p247 :rule reordering :premises (@p246) :args ((or @t191 @t200 @t199 (not @t201)))) % 13.12/13.38 (step @p248 :rule chain_m_resolution :premises (@p247 @p8 @p244 @p221) :args (@t199 @t193 (@list @t1 @t194 @t201))) % 13.12/13.38 (step @p249 :rule cnf_or_pos :args (@t207)) % 13.12/13.38 (step @p250 :rule reordering :premises (@p249) :args ((or @t206 @t202 @t205 @t203 (not @t207)))) % 13.12/13.38 (step @p251 :rule chain_m_resolution :premises (@p250 @p248 @p215 @p214 @p209) :args (@t202 @t208 (@list @t199 @t204 @t188 @t207))) % 13.12/13.38 (step @p252 :rule refl :args (@t166)) % 13.12/13.38 (step @p253 :rule eq-symm :args (@t169 tptp.sk3)) % 13.12/13.38 (step @p254 :rule nary_cong :premises (@p253 @p252) :args (@t171)) % 13.12/13.38 (step @p255 :rule eq_resolve :premises (@p192 @p254)) % 13.12/13.38 (step @p256 :rule reordering :premises (@p255) :args ((or @t166 @t209))) % 13.12/13.38 (step @p257 :rule reordering :premises (@p193) :args ((or @t166 @t172))) % 13.12/13.38 (step @p258 :rule refl :args (@t46)) % 13.12/13.38 (step @p259 :rule eq-symm :args (@t62 tptp.nil)) % 13.12/13.38 (step @p260 :rule cong :premises (@p259) :args (@t69)) % 13.12/13.38 (step @p261 :rule nary_cong :premises (@p260 @p258 @p203) :args (@t70)) % 13.12/13.38 (step @p262 :rule cong :premises (@p261) :args (@t71)) % 13.12/13.38 (step @p263 :rule eq_resolve :premises (@p96 @p262)) % 13.12/13.38 (step @p264 :rule instantiate :premises (@p263) :args ((@list tptp.sk5 tptp.nil))) % 13.12/13.38 (step @p265 :rule cnf_or_pos :args (@t213)) % 13.12/13.38 (step @p266 :rule reordering :premises (@p265) :args ((or @t191 @t210 @t212 (not @t213)))) % 13.12/13.38 (step @p267 :rule eq-symm :args (@t97 @t62)) % 13.12/13.38 (step @p268 :rule nary_cong :premises (@p258 @p203 @p267) :args (@t98)) % 13.12/13.38 (step @p269 :rule cong :premises (@p268) :args (@t99)) % 13.12/13.38 (step @p270 :rule eq_resolve :premises (@p118 @p269)) % 13.12/13.38 (step @p271 :rule instantiate :premises (@p270) :args ((@list tptp.sk5 @t214))) % 13.12/13.38 (step @p272 :rule cnf_or_pos :args (@t220)) % 13.12/13.38 (step @p273 :rule reordering :premises (@p272) :args ((or @t210 @t219 @t217 (not @t220)))) % 13.12/13.38 (step @p274 :rule eq-symm :args (@t133 @t2)) % 13.12/13.38 (step @p275 :rule refl :args (@t76)) % 13.12/13.38 (step @p276 :rule refl :args (@t122)) % 13.12/13.38 (step @p277 :rule nary_cong :premises (@p276 @p275 @p202 @p274) :args (@t134)) % 13.12/13.38 (step @p278 :rule cong :premises (@p277) :args (@t135)) % 13.12/13.38 (step @p279 :rule eq_resolve :premises (@p166 @p278)) % 13.12/13.38 (step @p280 :rule instantiate :premises (@p279) :args (@t183)) % 13.12/13.38 (step @p281 :rule cnf_or_pos :args (@t225)) % 13.12/13.38 (step @p282 :rule reordering :premises (@p281) :args ((or @t223 @t210 @t224 @t222 (not @t225)))) % 13.12/13.38 (step @p283 :rule refl :args (@t164)) % 13.12/13.38 (step @p284 :rule bool-double-not-elim :args (@t211)) % 13.12/13.38 (step @p285 :rule refl :args (@t226)) % 13.12/13.38 (step @p286 :rule refl :args (@t227)) % 13.12/13.38 (step @p287 :rule nary_cong :premises (@p286 @p285 @p284 @p283) :args ((or @t227 @t226 (not @t212) @t164))) % 13.12/13.38 (assume-push @p568 @t162) % 13.12/13.38 (assume-push @p569 @t209) % 13.12/13.38 (assume-push @p570 @t212) % 13.12/13.38 (assume-push @p571 @t212) % 13.12/13.38 (assume-push @p572 @t209) % 13.12/13.38 (assume-push @p573 @t162) % 13.12/13.38 (step @p294 :rule false_intro :premises (@p570)) % 13.12/13.38 (step @p295 :rule trans :premises (@p188 @p569)) % 13.12/13.38 (step @p296 :rule refl :args (tptp.nil)) % 13.12/13.38 (step @p297 :rule cong :premises (@p296 @p295) :args (@t163)) % 13.12/13.38 (step @p298 :rule trans :premises (@p297 @p294)) % 13.12/13.38 (step @p299 :rule false_elim :premises (@p298)) % 13.12/13.38 (step-pop @p574 :rule scope :premises (@p299)) % 13.12/13.38 (step-pop @p575 :rule scope :premises (@p574)) % 13.12/13.38 (step-pop @p576 :rule scope :premises (@p575)) % 13.12/13.38 (step @p300 :rule process_scope :premises (@p576) :args (@t164)) % 13.12/13.38 (step @p304 :rule and_intro :premises (@p570 @p569 @p188)) % 13.12/13.38 (step @p305 :rule modus_ponens :premises (@p304 @p300)) % 13.12/13.38 (step-pop @p577 :rule scope :premises (@p305)) % 13.12/13.38 (step-pop @p578 :rule scope :premises (@p577)) % 13.12/13.38 (step-pop @p579 :rule scope :premises (@p578)) % 13.12/13.38 (step @p306 :rule process_scope :premises (@p579) :args (@t164)) % 13.12/13.38 (step @p310 :rule implies_elim :premises (@p306)) % 13.12/13.38 (step @p311 :rule cnf_and_neg :args (@t228)) % 13.12/13.38 (step @p312 :rule resolution :premises (@p311 @p310) :args (true @t228)) % 13.12/13.38 (step @p313 :rule eq_resolve :premises (@p312 @p287)) % 13.12/13.38 (step @p314 :rule reordering :premises (@p313) :args ((or @t164 @t227 @t226 @t211))) % 13.12/13.38 (assume-push @p580 @t158) % 13.12/13.38 (assume-push @p581 @t162) % 13.12/13.38 (assume-push @p582 @t209) % 13.12/13.38 (assume-push @p583 @t202) % 13.12/13.38 (assume-push @p584 @t158) % 13.12/13.38 (assume-push @p585 @t162) % 13.12/13.38 (assume-push @p586 @t209) % 13.12/13.38 (assume-push @p587 @t202) % 13.12/13.38 (step @p323 :rule true_intro :premises (@p183)) % 13.12/13.38 (step @p324 :rule symm :premises (@p188)) % 13.12/13.38 (step @p325 :rule symm :premises (@p582)) % 13.12/13.38 (step @p326 :rule symm :premises (@p251)) % 13.12/13.38 (step @p327 :rule refl :args (tptp.sk5)) % 13.12/13.38 (step @p328 :rule cong :premises (@p327 @p326) :args (@t229)) % 13.12/13.38 (step @p329 :rule trans :premises (@p328 @p325 @p324)) % 13.12/13.38 (step @p330 :rule cong :premises (@p329) :args ((tptp.ssList @t229))) % 13.12/13.38 (step @p331 :rule symm :premises (@p328)) % 13.12/13.38 (step @p332 :rule cong :premises (@p331) :args 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(step @p550 :rule eq_resolve :premises (@p549 @p508)) % 13.12/13.38 (step @p551 :rule reordering :premises (@p550) :args ((or @t180 @t200 @t248 @t227 @t264 @t265))) % 13.12/13.38 (step @p552 :rule chain_m_resolution :premises (@p551 @p504 @p244 @p187 @p188 @p483) :args (@t265 (@list true false false false false) (@list @t180 @t194 @t161 @t162 @t166))) % 13.12/13.38 (step @p553 :rule refl :args (@t168)) % 13.12/13.38 (step @p554 :rule nary_cong :premises (@p253 @p553) :args (@t179)) % 13.12/13.38 (step @p555 :rule eq_resolve :premises (@p195 @p554)) % 13.12/13.38 (step @p556 :rule reordering :premises (@p555) :args ((or @t168 @t209))) % 13.12/13.38 (step @p557 :rule chain_m_resolution :premises (@p556 @p552) :args (@t209 @t267 @t268)) % 13.12/13.38 (step @p558 :rule chain_m_resolution :premises (@p350 @p183 @p188 @p557 @p251) :args (@t230 @t208 (@list @t158 @t162 @t209 @t202))) % 13.12/13.38 (step @p559 :rule chain_m_resolution :premises (@p361 @p558 @p199 @p200 @p359) :args (@t236 @t208 (@list @t230 @t218 @t237 @t240))) % 13.12/13.38 (step @p560 :rule chain_m_resolution :premises (@p191 @p552) :args (@t167 @t267 @t268)) % 13.12/13.38 (step @p561 :rule chain_m_resolution :premises (@p273 @p560 @p199 @p271) :args (@t217 @t193 (@list @t167 @t218 @t220))) % 13.12/13.38 (step @p562 :rule reordering :premises (@p196) :args ((or @t168 @t172))) % 13.12/13.38 (step @p563 :rule chain_m_resolution :premises (@p562 @p552) :args (@t172 @t267 @t268)) % 13.12/13.38 (step @p564 :rule chain_m_resolution :premises (@p282 @p186 @p560 @p563 @p280) :args (@t222 @t208 (@list @t160 @t167 @t172 @t225))) % 13.12/13.38 (step @p565 :rule chain_m_resolution :premises (@p398 @p184 @p187 @p564 @p561 @p559) :args (@t241 (@list false false false false false) (@list @t159 @t161 @t222 @t217 @t236))) % 13.12/13.38 (step @p566 :rule chain_m_resolution :premises (@p452 @p504 @p187 @p188 @p557 @p564 @p561 @p559) :args (@t244 (@list true false false false false false false) (@list @t180 @t161 @t162 @t209 @t222 @t217 @t236))) % 13.12/13.38 (step @p567 false :rule chain_m_resolution :premises (@p482 @p566 @p565 @p480 @p558 @p200 @p199) :args (false (@list true false false false false false) (@list @t243 @t241 @t262 @t230 @t237 @t218))) % 13.12/13.38 ) % 0.37/13.43 % SZS output end Proof % 0.37/13.43 % cvc5 exiting %------------------------------------------------------------------------------