%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC075-1 : 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 : n019.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 08:57:57 AM UTC 2026 % Result : Unsatisfiable 0.85s 1.06s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC075-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:13:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.85/1.06 % SZS status Unsatisfiable % 0.85/1.06 % SZS output start Proof % 0.85/1.07 ( % 0.85/1.07 (declare-sort $$unsorted 0) % 0.85/1.07 (declare-const tptp.sk4 $$unsorted) % 0.85/1.07 (declare-const tptp.sk2 $$unsorted) % 0.85/1.07 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.sk5 $$unsorted) % 0.85/1.07 (declare-const tptp.nil $$unsorted) % 0.85/1.07 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.sk1 $$unsorted) % 0.85/1.07 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.skac2 $$unsorted) % 0.85/1.07 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.sk3 $$unsorted) % 0.85/1.07 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.sk6 $$unsorted) % 0.85/1.07 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skac3 $$unsorted) % 0.85/1.07 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.85/1.07 (define @t1 () (tptp.ssList tptp.nil)) % 0.85/1.07 (define @t2 () (@var "U" $$unsorted)) % 0.85/1.07 (define @t3 () (tptp.skaf83 @t2)) % 0.85/1.07 (define @t4 () (@list @t2)) % 0.85/1.07 (define @t5 () (tptp.skaf82 @t2)) % 0.85/1.07 (define @t6 () (tptp.skaf81 @t2)) % 0.85/1.07 (define @t7 () (tptp.skaf80 @t2)) % 0.85/1.07 (define @t8 () (tptp.skaf79 @t2)) % 0.85/1.07 (define @t9 () (tptp.skaf78 @t2)) % 0.85/1.07 (define @t10 () (tptp.skaf77 @t2)) % 0.85/1.07 (define @t11 () (tptp.skaf76 @t2)) % 0.85/1.07 (define @t12 () (tptp.skaf75 @t2)) % 0.85/1.07 (define @t13 () (tptp.skaf74 @t2)) % 0.85/1.07 (define @t14 () (tptp.skaf73 @t2)) % 0.85/1.07 (define @t15 () (tptp.skaf72 @t2)) % 0.85/1.07 (define @t16 () (tptp.skaf71 @t2)) % 0.85/1.07 (define @t17 () (tptp.skaf70 @t2)) % 0.85/1.07 (define @t18 () (tptp.skaf69 @t2)) % 0.85/1.07 (define @t19 () (tptp.skaf68 @t2)) % 0.85/1.07 (define @t20 () (tptp.skaf67 @t2)) % 0.85/1.07 (define @t21 () (tptp.skaf66 @t2)) % 0.85/1.07 (define @t22 () (tptp.skaf65 @t2)) % 0.85/1.07 (define @t23 () (tptp.skaf64 @t2)) % 0.85/1.07 (define @t24 () (tptp.skaf63 @t2)) % 0.85/1.07 (define @t25 () (tptp.skaf62 @t2)) % 0.85/1.07 (define @t26 () (tptp.skaf61 @t2)) % 0.85/1.07 (define @t27 () (tptp.skaf60 @t2)) % 0.85/1.07 (define @t28 () (tptp.skaf59 @t2)) % 0.85/1.07 (define @t29 () (tptp.skaf58 @t2)) % 0.85/1.07 (define @t30 () (tptp.skaf57 @t2)) % 0.85/1.07 (define @t31 () (tptp.skaf56 @t2)) % 0.85/1.07 (define @t32 () (tptp.skaf55 @t2)) % 0.85/1.07 (define @t33 () (tptp.skaf54 @t2)) % 0.85/1.07 (define @t34 () (tptp.skaf53 @t2)) % 0.85/1.07 (define @t35 () (tptp.skaf52 @t2)) % 0.85/1.07 (define @t36 () (tptp.skaf51 @t2)) % 0.85/1.07 (define @t37 () (tptp.skaf50 @t2)) % 0.85/1.07 (define @t38 () (tptp.skaf49 @t2)) % 0.85/1.07 (define @t39 () (tptp.skaf44 @t2)) % 0.85/1.07 (define @t40 () (@var "V" $$unsorted)) % 0.85/1.07 (define @t41 () (@list @t2 @t40)) % 0.85/1.07 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.85/1.07 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.85/1.07 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.85/1.07 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.85/1.07 (define @t46 () (not (tptp.ssItem @t2))) % 0.85/1.07 (define @t47 () (not (tptp.ssList @t2))) % 0.85/1.07 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.85/1.07 (define @t49 () (tptp.ssItem @t40)) % 0.85/1.07 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.85/1.07 (define @t51 () (tptp.app @t2 tptp.nil)) % 0.85/1.07 (define @t52 () (or @t47 (= @t51 @t2))) % 0.85/1.07 (define @t53 () (forall @t4 @t52)) % 0.85/1.07 (define @t54 () (tptp.app tptp.nil @t2)) % 0.85/1.07 (define @t55 () (or @t47 (= @t54 @t2))) % 0.85/1.07 (define @t56 () (forall @t4 @t55)) % 0.85/1.07 (define @t57 () (= tptp.nil @t2)) % 0.85/1.07 (define @t58 () (tptp.tl @t2)) % 0.85/1.07 (define @t59 () (tptp.hd @t2)) % 0.85/1.07 (define @t60 () (tptp.segmentP tptp.nil @t2)) % 0.85/1.07 (define @t61 () (not @t57)) % 0.85/1.07 (define @t62 () (or @t61 @t47 @t60)) % 0.85/1.07 (define @t63 () (forall @t4 @t62)) % 0.85/1.07 (define @t64 () (tptp.rearsegP tptp.nil @t2)) % 0.85/1.07 (define @t65 () (tptp.frontsegP tptp.nil @t2)) % 0.85/1.07 (define @t66 () (tptp.app @t40 @t2)) % 0.85/1.07 (define @t67 () (not (tptp.ssList @t40))) % 0.85/1.07 (define @t68 () (tptp.cons @t2 @t40)) % 0.85/1.07 (define @t69 () (tptp.cyclefreeP @t2)) % 0.85/1.07 (define @t70 () (tptp.equalelemsP @t2)) % 0.85/1.07 (define @t71 () (tptp.strictorderedP @t2)) % 0.85/1.07 (define @t72 () (tptp.totalorderedP @t2)) % 0.85/1.07 (define @t73 () (tptp.strictorderP @t2)) % 0.85/1.07 (define @t74 () (tptp.totalorderP @t2)) % 0.85/1.07 (define @t75 () (= @t40 @t2)) % 0.85/1.07 (define @t76 () (tptp.neq @t40 @t2)) % 0.85/1.07 (define @t77 () (or @t47 @t67 @t76 @t75)) % 0.85/1.07 (define @t78 () (forall @t41 @t77)) % 0.85/1.07 (define @t79 () (not @t49)) % 0.85/1.07 (define @t80 () (tptp.leq @t2 @t40)) % 0.85/1.07 (define @t81 () (tptp.lt @t2 @t40)) % 0.85/1.07 (define @t82 () (not @t81)) % 0.85/1.07 (define @t83 () (tptp.lt @t40 @t2)) % 0.85/1.07 (define @t84 () (not (tptp.gt @t2 @t40))) % 0.85/1.07 (define @t85 () (tptp.gt @t40 @t2)) % 0.85/1.07 (define @t86 () (tptp.leq @t40 @t2)) % 0.85/1.07 (define @t87 () (not (tptp.geq @t2 @t40))) % 0.85/1.07 (define @t88 () (tptp.geq @t40 @t2)) % 0.85/1.07 (define @t89 () (not @t80)) % 0.85/1.07 (define @t90 () (= @t2 @t40)) % 0.85/1.07 (define @t91 () (not @t90)) % 0.85/1.07 (define @t92 () (tptp.cons @t40 @t2)) % 0.85/1.07 (define @t93 () (not (tptp.neq @t2 @t40))) % 0.85/1.07 (define @t94 () (tptp.app @t2 @t40)) % 0.85/1.07 (define @t95 () (= @t94 tptp.nil)) % 0.85/1.07 (define @t96 () (not @t95)) % 0.85/1.07 (define @t97 () (= tptp.nil @t40)) % 0.85/1.07 (define @t98 () (tptp.hd @t40)) % 0.85/1.07 (define @t99 () (tptp.strictorderedP @t40)) % 0.85/1.07 (define @t100 () (tptp.strictorderedP @t68)) % 0.85/1.07 (define @t101 () (not @t100)) % 0.85/1.07 (define @t102 () (tptp.totalorderedP @t40)) % 0.85/1.07 (define @t103 () (tptp.totalorderedP @t68)) % 0.85/1.07 (define @t104 () (not @t103)) % 0.85/1.07 (define @t105 () (not (tptp.segmentP @t2 @t40))) % 0.85/1.07 (define @t106 () (not (tptp.rearsegP @t2 @t40))) % 0.85/1.07 (define @t107 () (not (tptp.frontsegP @t2 @t40))) % 0.85/1.07 (define @t108 () (not @t86)) % 0.85/1.07 (define @t109 () (tptp.tl @t40)) % 0.85/1.07 (define @t110 () (tptp.lt @t2 @t98)) % 0.85/1.07 (define @t111 () (tptp.leq @t2 @t98)) % 0.85/1.07 (define @t112 () (@var "W" $$unsorted)) % 0.85/1.07 (define @t113 () (tptp.app @t112 @t2)) % 0.85/1.07 (define @t114 () (not (tptp.ssList @t112))) % 0.85/1.07 (define @t115 () (@list @t2 @t40 @t112)) % 0.85/1.07 (define @t116 () (tptp.app @t2 @t112)) % 0.85/1.07 (define @t117 () (tptp.cons @t40 @t112)) % 0.85/1.07 (define @t118 () (tptp.cons @t112 @t2)) % 0.85/1.07 (define @t119 () (not (tptp.ssItem @t112))) % 0.85/1.07 (define @t120 () (not (tptp.memberP @t2 @t40))) % 0.85/1.07 (define @t121 () (not (= @t94 @t112))) % 0.85/1.07 (define @t122 () (tptp.lt @t2 @t112)) % 0.85/1.07 (define @t123 () (not (tptp.lt @t40 @t112))) % 0.85/1.07 (define @t124 () (tptp.app @t112 @t40)) % 0.85/1.07 (define @t125 () (= @t40 @t112)) % 0.85/1.07 (define @t126 () (= @t2 @t112)) % 0.85/1.07 (define @t127 () (tptp.memberP @t40 @t112)) % 0.85/1.07 (define @t128 () (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2))) % 0.85/1.07 (define @t129 () (or @t105 @t67 @t47 (= @t128 @t2))) % 0.85/1.07 (define @t130 () (forall @t41 @t129)) % 0.85/1.07 (define @t131 () (@var "X" $$unsorted)) % 0.85/1.07 (define @t132 () (not (tptp.ssList @t131))) % 0.85/1.07 (define @t133 () (tptp.cons @t112 @t131)) % 0.85/1.07 (define @t134 () (not (= @t68 @t133))) % 0.85/1.07 (define @t135 () (@list @t2 @t40 @t112 @t131)) % 0.85/1.07 (define @t136 () (tptp.segmentP @t131 @t40)) % 0.85/1.07 (define @t137 () (tptp.app @t94 @t112)) % 0.85/1.07 (define @t138 () (not (= @t137 @t131))) % 0.85/1.07 (define @t139 () (or @t138 @t114 @t47 @t67 @t132 @t136)) % 0.85/1.07 (define @t140 () (forall @t135 @t139)) % 0.85/1.07 (define @t141 () (not (tptp.frontsegP @t68 @t133))) % 0.85/1.07 (define @t142 () (tptp.app @t2 @t117)) % 0.85/1.07 (define @t143 () (not (tptp.ssItem @t131))) % 0.85/1.07 (define @t144 () (@var "Y" $$unsorted)) % 0.85/1.07 (define @t145 () (not (tptp.ssList @t144))) % 0.85/1.07 (define @t146 () (@list @t2 @t40 @t112 @t131 @t144)) % 0.85/1.07 (define @t147 () (tptp.lt @t40 @t131)) % 0.85/1.07 (define @t148 () (@var "Z" $$unsorted)) % 0.85/1.07 (define @t149 () (not (tptp.ssList @t148))) % 0.85/1.07 (define @t150 () (not (= (tptp.app @t142 (tptp.cons @t131 @t144)) @t148))) % 0.85/1.07 (define @t151 () (@list @t2 @t40 @t112 @t131 @t144 @t148)) % 0.85/1.07 (define @t152 () (tptp.leq @t40 @t131)) % 0.85/1.07 (define @t153 () (tptp.ssList tptp.sk1)) % 0.85/1.07 (define @t154 () (tptp.ssList tptp.sk2)) % 0.85/1.07 (define @t155 () (@var "A" $$unsorted)) % 0.85/1.07 (define @t156 () (tptp.ssList tptp.sk5)) % 0.85/1.07 (define @t157 () (tptp.ssList tptp.sk6)) % 0.85/1.07 (define @t158 () (tptp.app tptp.sk5 tptp.sk6)) % 0.85/1.07 (define @t159 () (tptp.app tptp.sk6 tptp.sk5)) % 0.85/1.07 (define @t160 () (= tptp.nil tptp.sk1)) % 0.85/1.07 (define @t161 () (= tptp.nil tptp.sk2)) % 0.85/1.07 (define @t162 () (@list tptp.sk1)) % 0.85/1.07 (define @t163 () (tptp.segmentP tptp.sk1 tptp.sk1)) % 0.85/1.07 (define @t164 () (not @t153)) % 0.85/1.07 (define @t165 () (or @t164 @t163)) % 0.85/1.07 (define @t166 () (@list false false)) % 0.85/1.07 (define @t167 () (@list tptp.sk2)) % 0.85/1.07 (define @t168 () (tptp.segmentP tptp.sk2 tptp.sk2)) % 0.85/1.07 (define @t169 () (not @t154)) % 0.85/1.07 (define @t170 () (or @t169 @t168)) % 0.85/1.07 (define @t171 () (@list tptp.sk6)) % 0.85/1.07 (define @t172 () (tptp.segmentP @t137 @t40)) % 0.85/1.07 (define @t173 () (not (tptp.ssList @t137))) % 0.85/1.07 (define @t174 () (not (= @t137 @t137))) % 0.85/1.07 (define @t175 () (or @t174 @t114 @t47 @t67 @t173 @t172)) % 0.85/1.07 (define @t176 () (not (= @t131 @t137))) % 0.85/1.07 (define @t177 () (or @t176 @t176 @t114 @t47 @t67 @t132 @t136)) % 0.85/1.07 (define @t178 () (@list @t131)) % 0.85/1.07 (define @t179 () (or @t176 @t114 @t47 @t67 @t132 @t136)) % 0.85/1.07 (define @t180 () (forall @t178 @t179)) % 0.85/1.07 (define @t181 () (forall @t115 @t180)) % 0.85/1.07 (define @t182 () (tptp.app tptp.nil tptp.sk6)) % 0.85/1.07 (define @t183 () (= tptp.sk6 @t182)) % 0.85/1.07 (define @t184 () (not @t157)) % 0.85/1.07 (define @t185 () (or @t184 @t183)) % 0.85/1.07 (define @t186 () (tptp.app @t182 tptp.sk5)) % 0.85/1.07 (define @t187 () (tptp.ssList @t186)) % 0.85/1.07 (define @t188 () (tptp.segmentP @t186 tptp.sk6)) % 0.85/1.07 (define @t189 () (not @t187)) % 0.85/1.07 (define @t190 () (not @t1)) % 0.85/1.07 (define @t191 () (not @t156)) % 0.85/1.07 (define @t192 () (or @t191 @t190 @t184 @t189 @t188)) % 0.85/1.07 (define @t193 () (@list false false false false false)) % 0.85/1.07 (define @t194 () (tptp.segmentP tptp.sk1 tptp.sk6)) % 0.85/1.07 (define @t195 () (tptp.app tptp.sk2 tptp.nil)) % 0.85/1.07 (define @t196 () (= tptp.sk2 @t195)) % 0.85/1.07 (define @t197 () (or @t169 @t196)) % 0.85/1.07 (define @t198 () (tptp.app @t158 tptp.nil)) % 0.85/1.07 (define @t199 () (tptp.ssList @t198)) % 0.85/1.07 (define @t200 () (tptp.segmentP @t198 tptp.sk6)) % 0.85/1.07 (define @t201 () (not @t199)) % 0.85/1.07 (define @t202 () (or @t190 @t191 @t184 @t201 @t200)) % 0.85/1.07 (define @t203 () (tptp.segmentP tptp.sk2 tptp.sk6)) % 0.85/1.07 (define @t204 () (not @t194)) % 0.85/1.07 (define @t205 () (not @t203)) % 0.85/1.07 (define @t206 () (tptp.neq tptp.sk6 tptp.nil)) % 0.85/1.07 (define @t207 () (not @t206)) % 0.85/1.07 (define @t208 () (or @t184 @t207 @t205 @t204)) % 0.85/1.07 (define @t209 () (@list false false false false)) % 0.85/1.07 (define @t210 () (= tptp.nil tptp.sk6)) % 0.85/1.07 (define @t211 () (or @t190 @t184 @t206 @t210)) % 0.85/1.07 (define @t212 () (@list false false true false)) % 0.85/1.07 (define @t213 () (tptp.app tptp.sk5 tptp.nil)) % 0.85/1.07 (define @t214 () (@list tptp.sk5)) % 0.85/1.07 (define @t215 () (= tptp.sk5 @t213)) % 0.85/1.07 (define @t216 () (or @t191 @t215)) % 0.85/1.07 (define @t217 () (tptp.app tptp.nil tptp.sk5)) % 0.85/1.07 (define @t218 () (= tptp.sk5 @t217)) % 0.85/1.07 (define @t219 () (or @t191 @t218)) % 0.85/1.07 (define @t220 () (= tptp.sk2 (tptp.app tptp.nil tptp.sk2))) % 0.85/1.07 (define @t221 () (or @t169 @t220)) % 0.85/1.07 (define @t222 () (tptp.segmentP tptp.nil tptp.nil)) % 0.85/1.07 (define @t223 () (not (= tptp.nil tptp.nil))) % 0.85/1.07 (define @t224 () (or @t223 @t190 @t222)) % 0.85/1.07 (define @t225 () (or @t61 @t61 @t47 @t60)) % 0.85/1.07 (define @t226 () (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) % 0.85/1.07 (define @t227 () (= tptp.nil @t226)) % 0.85/1.07 (define @t228 () (not @t222)) % 0.85/1.07 (define @t229 () (or @t228 @t190 @t190 @t227)) % 0.85/1.07 (define @t230 () (tptp.app @t226 tptp.sk2)) % 0.85/1.07 (define @t231 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 0.85/1.07 (define @t232 () (not @t163)) % 0.85/1.07 (define @t233 () (not @t231)) % 0.85/1.07 (define @t234 () (tptp.neq tptp.sk1 tptp.nil)) % 0.85/1.07 (define @t235 () (not @t234)) % 0.85/1.07 (define @t236 () (or @t164 @t235 @t233 @t232)) % 0.85/1.07 (define @t237 () (or @t190 @t164 @t234 @t160)) % 0.85/1.07 (define @t238 () (tptp.segmentP tptp.sk1 tptp.sk2)) % 0.85/1.07 (define @t239 () (not @t238)) % 0.85/1.07 (define @t240 () (not @t168)) % 0.85/1.07 (define @t241 () (tptp.neq tptp.sk2 tptp.nil)) % 0.85/1.07 (define @t242 () (not @t241)) % 0.85/1.07 (define @t243 () (or @t169 @t242 @t240 @t239)) % 0.85/1.07 (define @t244 () (or @t190 @t169 @t241 @t161)) % 0.85/1.07 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.85/1.07 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.85/1.07 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.85/1.07 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.85/1.07 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.85/1.07 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.85/1.07 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.85/1.07 (assume @p8 @t1) % 0.85/1.07 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.85/1.07 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.85/1.07 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.85/1.07 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.85/1.07 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.85/1.07 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.85/1.07 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.85/1.07 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.85/1.07 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.85/1.07 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.85/1.07 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.85/1.07 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.85/1.07 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.85/1.07 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.85/1.07 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.85/1.07 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.85/1.07 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.85/1.07 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.85/1.07 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.85/1.07 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.85/1.07 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.85/1.07 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.85/1.07 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.85/1.07 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.85/1.07 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.85/1.07 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.85/1.07 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.85/1.07 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.85/1.07 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.85/1.07 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.85/1.07 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.85/1.07 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.85/1.07 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.85/1.07 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.85/1.07 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.85/1.07 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.85/1.07 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.85/1.07 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.85/1.07 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.85/1.07 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.85/1.07 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.85/1.07 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.85/1.07 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.85/1.07 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.85/1.07 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.85/1.07 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.85/1.07 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.85/1.07 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.85/1.07 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.85/1.07 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.85/1.07 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.85/1.07 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.85/1.07 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.85/1.07 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.85/1.07 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.85/1.07 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.85/1.07 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.85/1.07 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.85/1.07 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.85/1.07 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.85/1.07 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.85/1.07 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.85/1.07 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.85/1.07 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.85/1.07 (assume @p73 @t53) % 0.85/1.07 (assume @p74 @t56) % 0.85/1.07 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t58) @t57))) % 0.85/1.07 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t59) @t57))) % 0.85/1.07 (assume @p77 @t63) % 0.85/1.07 (assume @p78 (forall @t4 (or (not @t60) @t47 @t57))) % 0.85/1.07 (assume @p79 (forall @t4 (or @t61 @t47 @t64))) % 0.85/1.07 (assume @p80 (forall @t4 (or (not @t64) @t47 @t57))) % 0.85/1.07 (assume @p81 (forall @t4 (or @t61 @t47 @t65))) % 0.85/1.07 (assume @p82 (forall @t4 (or (not @t65) @t47 @t57))) % 0.85/1.07 (assume @p83 (forall @t41 (or @t47 @t67 (tptp.ssList @t66)))) % 0.85/1.07 (assume @p84 (forall @t41 (or @t46 @t67 (tptp.ssList @t68)))) % 0.85/1.07 (assume @p85 (forall @t4 (or @t47 @t69 (tptp.leq @t37 @t38)))) % 0.85/1.07 (assume @p86 (forall @t4 (or @t47 @t69 (tptp.leq @t38 @t37)))) % 0.85/1.07 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t70))) % 0.85/1.07 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t71))) % 0.85/1.07 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t72))) % 0.85/1.07 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t73))) % 0.85/1.07 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t73))) % 0.85/1.07 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t74))) % 0.85/1.07 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t74))) % 0.85/1.07 (assume @p94 (forall @t41 (or @t46 @t67 (= (tptp.tl @t68) @t40)))) % 0.85/1.07 (assume @p95 (forall @t41 (or @t46 @t67 (= (tptp.hd @t68) @t2)))) % 0.85/1.07 (assume @p96 (forall @t41 (or (not (= @t68 tptp.nil)) @t46 @t67))) % 0.85/1.07 (assume @p97 (forall @t41 (or (not (= @t68 @t40)) @t46 @t67))) % 0.85/1.07 (assume @p98 @t78) % 0.85/1.07 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.85/1.07 (assume @p100 (forall @t41 (or @t46 @t79 @t76 @t75))) % 0.85/1.07 (assume @p101 (forall @t41 (or @t82 @t79 @t46 @t80))) % 0.85/1.07 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t59 @t58) @t2) @t57))) % 0.85/1.07 (assume @p103 (forall @t41 (or @t84 @t79 @t46 @t83))) % 0.85/1.07 (assume @p104 (forall @t41 (or @t82 @t46 @t79 @t85))) % 0.85/1.07 (assume @p105 (forall @t41 (or @t87 @t79 @t46 @t86))) % 0.85/1.07 (assume @p106 (forall @t41 (or @t89 @t46 @t79 @t88))) % 0.85/1.07 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t57))) % 0.85/1.07 (assume @p108 (forall @t41 (or @t84 (not @t85) @t46 @t79))) % 0.85/1.07 (assume @p109 (forall @t41 (or @t91 @t82 @t79 @t46))) % 0.85/1.07 (assume @p110 (forall @t41 (or @t61 @t47 @t79 (tptp.strictorderedP @t92)))) % 0.85/1.07 (assume @p111 (forall @t41 (or @t61 @t47 @t79 (tptp.totalorderedP @t92)))) % 0.85/1.07 (assume @p112 (forall @t41 (or @t82 (not @t83) @t46 @t79))) % 0.85/1.07 (assume @p113 (forall @t41 (or @t91 @t93 @t67 @t47))) % 0.85/1.07 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t67 (tptp.singletonP @t40)))) % 0.85/1.07 (assume @p115 (forall @t41 (or @t91 @t93 @t79 @t46))) % 0.85/1.07 (assume @p116 (forall @t41 (or @t96 @t67 @t47 @t57))) % 0.85/1.07 (assume @p117 (forall @t41 (or @t96 @t67 @t47 @t97))) % 0.85/1.07 (assume @p118 (forall @t41 (or @t46 @t67 (= (tptp.app @t48 @t40) @t68)))) % 0.85/1.07 (assume @p119 (forall @t41 (or @t89 @t79 @t46 @t81 @t90))) % 0.85/1.07 (assume @p120 (forall @t41 (or @t47 @t67 @t97 (= (tptp.hd @t66) @t98)))) % 0.85/1.07 (assume @p121 (forall @t41 (or @t101 @t67 @t46 @t99 @t97))) % 0.85/1.07 (assume @p122 (forall @t41 (or @t104 @t67 @t46 @t102 @t97))) % 0.85/1.07 (assume @p123 (forall @t41 (or @t87 (not @t88) @t46 @t79 @t75))) % 0.85/1.07 (assume @p124 (forall @t41 (or @t105 (not (tptp.segmentP @t40 @t2)) @t47 @t67 @t75))) % 0.85/1.07 (assume @p125 (forall @t41 (or @t106 (not (tptp.rearsegP @t40 @t2)) @t47 @t67 @t75))) % 0.85/1.07 (assume @p126 (forall @t41 (or @t107 (not (tptp.frontsegP @t40 @t2)) @t47 @t67 @t75))) % 0.85/1.07 (assume @p127 (forall @t41 (or @t89 @t108 @t46 @t79 @t75))) % 0.85/1.07 (assume @p128 (forall @t41 (or @t106 @t67 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.85/1.07 (assume @p129 (forall @t41 (or @t107 @t67 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.85/1.07 (assume @p130 (forall @t41 (or @t47 @t67 @t97 (= (tptp.tl @t66) (tptp.app @t109 @t2))))) % 0.85/1.07 (assume @p131 (forall @t41 (or @t101 @t67 @t46 @t110 @t97))) % 0.85/1.07 (assume @p132 (forall @t41 (or @t104 @t67 @t46 @t111 @t97))) % 0.85/1.07 (assume @p133 (forall @t115 (or @t106 @t114 @t67 @t47 (tptp.rearsegP @t113 @t40)))) % 0.85/1.07 (assume @p134 (forall @t115 (or @t107 @t114 @t67 @t47 (tptp.frontsegP @t116 @t40)))) % 0.85/1.07 (assume @p135 (forall @t115 (or @t91 @t114 @t79 @t46 (tptp.memberP @t117 @t2)))) % 0.85/1.07 (assume @p136 (forall @t115 (or @t120 @t47 @t119 @t79 (tptp.memberP @t118 @t40)))) % 0.85/1.07 (assume @p137 (forall @t115 (or @t120 @t114 @t47 @t79 (tptp.memberP @t116 @t40)))) % 0.85/1.07 (assume @p138 (forall @t115 (or @t120 @t47 @t114 @t79 (tptp.memberP @t113 @t40)))) % 0.85/1.07 (assume @p139 (forall @t4 (or @t47 @t70 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.85/1.07 (assume @p140 (forall @t115 (or @t121 @t47 @t67 @t114 (tptp.rearsegP @t112 @t40)))) % 0.85/1.07 (assume @p141 (forall @t115 (or @t121 @t67 @t47 @t114 (tptp.frontsegP @t112 @t2)))) % 0.85/1.07 (assume @p142 (forall @t41 (or @t61 (not @t97) @t67 @t47 @t95))) % 0.85/1.07 (assume @p143 (forall @t115 (or @t84 (not (tptp.gt @t40 @t112)) @t119 @t79 @t46 (tptp.gt @t2 @t112)))) % 0.85/1.07 (assume @p144 (forall @t115 (or @t89 @t123 @t119 @t79 @t46 @t122))) % 0.85/1.07 (assume @p145 (forall @t115 (or @t87 (not (tptp.geq @t40 @t112)) @t119 @t79 @t46 (tptp.geq @t2 @t112)))) % 0.85/1.07 (assume @p146 (forall @t115 (or @t47 @t67 @t114 (= (tptp.app @t124 @t2) (tptp.app @t112 @t66))))) % 0.85/1.07 (assume @p147 (forall @t115 (or (not (= @t94 @t116)) @t67 @t47 @t114 @t125))) % 0.85/1.07 (assume @p148 (forall @t115 (or (not (= @t94 @t124)) @t47 @t67 @t114 @t126))) % 0.85/1.07 (assume @p149 (forall @t115 (or @t105 (not (tptp.segmentP @t40 @t112)) @t114 @t67 @t47 (tptp.segmentP @t2 @t112)))) % 0.85/1.07 (assume @p150 (forall @t115 (or @t106 (not (tptp.rearsegP @t40 @t112)) @t114 @t67 @t47 (tptp.rearsegP @t2 @t112)))) % 0.85/1.07 (assume @p151 (forall @t115 (or @t107 (not (tptp.frontsegP @t40 @t112)) @t114 @t67 @t47 (tptp.frontsegP @t2 @t112)))) % 0.85/1.07 (assume @p152 (forall @t115 (or @t82 @t123 @t119 @t79 @t46 @t122))) % 0.85/1.07 (assume @p153 (forall @t115 (or @t89 (not (tptp.leq @t40 @t112)) @t119 @t79 @t46 (tptp.leq @t2 @t112)))) % 0.85/1.07 (assume @p154 (forall @t115 (or @t46 @t67 @t114 (= (tptp.cons @t2 (tptp.app @t40 @t112)) (tptp.app @t68 @t112))))) % 0.85/1.07 (assume @p155 (forall @t115 (or (not (tptp.memberP @t94 @t112)) @t67 @t47 @t119 @t127 (tptp.memberP @t2 @t112)))) % 0.85/1.07 (assume @p156 (forall @t41 (or (not @t111) (not @t102) @t67 @t46 @t103 @t97))) % 0.85/1.07 (assume @p157 (forall @t41 (or (not @t110) (not @t99) @t67 @t46 @t100 @t97))) % 0.85/1.07 (assume @p158 (forall @t115 (or (not (tptp.memberP @t68 @t112)) @t67 @t46 @t119 @t127 (= @t112 @t2)))) % 0.85/1.07 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.85/1.07 (assume @p160 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.85/1.07 (assume @p161 (forall @t4 (or @t47 @t72 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.85/1.07 (assume @p162 (forall @t4 (or @t47 @t73 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.85/1.07 (assume @p163 (forall @t4 (or @t47 @t74 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.85/1.07 (assume @p164 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.85/1.07 (assume @p165 @t130) % 0.85/1.07 (assume @p166 (forall @t41 (or @t120 @t79 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.85/1.07 (assume @p167 (forall @t135 (or @t134 @t119 @t46 @t132 @t67 @t126))) % 0.85/1.07 (assume @p168 (forall @t135 (or @t134 @t119 @t46 @t132 @t67 (= @t131 @t40)))) % 0.85/1.07 (assume @p169 (forall @t135 (or @t105 @t114 @t132 @t67 @t47 (tptp.segmentP (tptp.app (tptp.app @t131 @t2) @t112) @t40)))) % 0.85/1.07 (assume @p170 @t140) % 0.85/1.07 (assume @p171 (forall @t135 (or @t141 @t132 @t67 @t119 @t46 (tptp.frontsegP @t40 @t131)))) % 0.85/1.07 (assume @p172 (forall @t135 (or (not (= @t142 @t131)) @t114 @t47 @t79 @t132 (tptp.memberP @t131 @t40)))) % 0.85/1.07 (assume @p173 (forall @t135 (or @t141 @t132 @t67 @t119 @t46 @t126))) % 0.85/1.07 (assume @p174 (forall @t41 (or (not (= @t58 @t109)) (not (= @t59 @t98)) @t47 @t67 @t97 @t90 @t57))) % 0.85/1.07 (assume @p175 (forall @t135 (or @t107 (not (= @t112 @t131)) @t67 @t47 @t143 @t119 (tptp.frontsegP @t118 (tptp.cons @t131 @t40))))) % 0.85/1.07 (assume @p176 (forall @t146 (or (not (= (tptp.app @t142 (tptp.cons @t40 @t131)) @t144)) @t132 @t114 @t47 @t79 (not (tptp.duplicatefreeP @t144)) @t145))) % 0.85/1.07 (assume @p177 (forall @t146 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t133)) @t144)) @t132 @t47 @t119 @t79 (not (tptp.equalelemsP @t144)) @t145 @t125))) % 0.85/1.07 (assume @p178 (forall @t151 (or @t150 @t145 @t114 @t47 @t143 @t79 (not (tptp.strictorderedP @t148)) @t149 @t147))) % 0.85/1.07 (assume @p179 (forall @t151 (or @t150 @t145 @t114 @t47 @t143 @t79 (not (tptp.totalorderedP @t148)) @t149 @t152))) % 0.85/1.07 (assume @p180 (forall @t151 (or @t150 @t145 @t114 @t47 @t143 @t79 (not (tptp.strictorderP @t148)) @t149 @t147 (tptp.lt @t131 @t40)))) % 0.85/1.07 (assume @p181 (forall @t151 (or @t150 @t145 @t114 @t47 @t143 @t79 (not (tptp.totalorderP @t148)) @t149 @t152 (tptp.leq @t131 @t40)))) % 0.85/1.07 (assume @p182 (forall @t151 (or @t89 @t108 (not (= (tptp.app (tptp.app @t112 (tptp.cons @t2 @t131)) (tptp.cons @t40 @t144)) @t148)) @t145 @t132 @t114 @t79 @t46 (not (tptp.cyclefreeP @t148)) @t149))) % 0.85/1.07 (assume @p183 @t153) % 0.85/1.07 (assume @p184 @t154) % 0.85/1.07 (assume @p185 (tptp.ssList tptp.sk3)) % 0.85/1.07 (assume @p186 (tptp.ssList tptp.sk4)) % 0.85/1.07 (assume @p187 (= tptp.sk2 tptp.sk4)) % 0.85/1.07 (assume @p188 (= tptp.sk1 tptp.sk3)) % 0.85/1.07 (assume @p189 (forall (@list @t155) (or (not (tptp.ssList @t155)) (not (tptp.neq @t155 tptp.nil)) (not (tptp.segmentP tptp.sk2 @t155)) (not (tptp.segmentP tptp.sk1 @t155))))) % 0.85/1.07 (assume @p190 @t156) % 0.85/1.07 (assume @p191 @t157) % 0.85/1.07 (assume @p192 (= @t158 tptp.sk4)) % 0.85/1.07 (assume @p193 (= @t159 tptp.sk3)) % 0.85/1.07 (assume @p194 (or (not @t161) (not @t160))) % 0.85/1.07 (step @p195 :rule eq-symm :args (@t40 @t2)) % 0.85/1.07 (step @p196 :rule refl :args (@t76)) % 0.85/1.07 (step @p197 :rule refl :args (@t67)) % 0.85/1.07 (step @p198 :rule refl :args (@t47)) % 0.85/1.07 (step @p199 :rule nary_cong :premises (@p198 @p197 @p196 @p195) :args (@t77)) % 0.85/1.07 (step @p200 :rule cong :premises (@p199) :args (@t78)) % 0.85/1.07 (step @p201 :rule eq_resolve :premises (@p98 @p200)) % 0.85/1.07 (step @p202 :rule instantiate :premises (@p201) :args ((@list tptp.nil tptp.sk1))) % 0.85/1.07 (step @p203 :rule instantiate :premises (@p189) :args (@t162)) % 0.85/1.07 (step @p204 :rule instantiate :premises (@p57) :args (@t162)) % 0.85/1.07 (step @p205 :rule cnf_or_pos :args (@t165)) % 0.85/1.07 (step @p206 :rule reordering :premises (@p205) :args ((or @t164 @t163 (not @t165)))) % 0.85/1.07 (step @p207 :rule chain_m_resolution :premises (@p206 @p183 @p204) :args (@t163 @t166 (@list @t153 @t165))) % 0.85/1.07 (step @p208 :rule instantiate :premises (@p57) :args (@t167)) % 0.85/1.07 (step @p209 :rule cnf_or_pos :args (@t170)) % 0.85/1.07 (step @p210 :rule reordering :premises (@p209) :args ((or @t169 @t168 (not @t170)))) % 0.85/1.07 (step @p211 :rule chain_m_resolution :premises (@p210 @p184 @p208) :args (@t168 @t166 (@list @t154 @t170))) % 0.85/1.07 (step @p212 :rule true_intro :premises (@p211)) % 0.85/1.07 (step @p213 :rule symm :premises (@p187)) % 0.85/1.07 (step @p214 :rule instantiate :premises (@p201) :args ((@list tptp.nil tptp.sk6))) % 0.85/1.07 (step @p215 :rule instantiate :premises (@p189) :args (@t171)) % 0.85/1.07 (step @p216 :rule aci_norm :args ((= (or false @t114 @t47 @t67 @t173 @t172) (or @t114 @t47 @t67 @t173 @t172)))) % 0.85/1.07 (step @p217 :rule refl :args (@t172)) % 0.85/1.07 (step @p218 :rule refl :args (@t173)) % 0.85/1.07 (step @p219 :rule refl :args (@t114)) % 0.85/1.07 (step @p220 :rule evaluate :args ((not true))) % 0.85/1.07 (step @p221 :rule eq-refl :args (@t137)) % 0.85/1.07 (step @p222 :rule cong :premises (@p221) :args (@t174)) % 0.85/1.07 (step @p223 :rule trans :premises (@p222 @p220)) % 0.85/1.07 (step @p224 :rule nary_cong :premises (@p223 @p219 @p198 @p197 @p218 @p217) :args (@t175)) % 0.85/1.07 (step @p225 :rule trans :premises (@p224 @p216)) % 0.85/1.07 (step @p226 :rule cong :premises (@p225) :args ((forall @t115 @t175))) % 0.85/1.07 (step @p227 :rule quant-var-elim-eq :args ((= (forall @t178 @t177) @t175))) % 0.85/1.07 (step @p228 :rule aci_norm :args ((= @t179 @t177))) % 0.85/1.07 (step @p229 :rule cong :premises (@p228) :args (@t180)) % 0.85/1.07 (step @p230 :rule trans :premises (@p229 @p227)) % 0.85/1.07 (step @p231 :rule cong :premises (@p230) :args (@t181)) % 0.85/1.07 (step @p232 :rule quant-merge-prenex :args ((= @t181 (forall @t135 @t179)))) % 0.85/1.07 (step @p233 :rule symm :premises (@p232)) % 0.85/1.07 (step @p234 :rule trans :premises (@p233 @p231)) % 0.85/1.07 (step @p235 :rule trans :premises (@p234 @p226)) % 0.85/1.07 (step @p236 :rule refl :args (@t136)) % 0.85/1.07 (step @p237 :rule refl :args (@t132)) % 0.85/1.07 (step @p238 :rule eq-symm :args (@t137 @t131)) % 0.85/1.07 (step @p239 :rule cong :premises (@p238) :args (@t138)) % 0.85/1.07 (step @p240 :rule nary_cong :premises (@p239 @p219 @p198 @p197 @p237 @p236) :args (@t139)) % 0.85/1.07 (step @p241 :rule cong :premises (@p240) :args (@t140)) % 0.85/1.07 (step @p242 :rule trans :premises (@p241 @p235)) % 0.85/1.07 (step @p243 :rule eq_resolve :premises (@p170 @p242)) % 0.85/1.07 (step @p244 :rule instantiate :premises (@p243) :args ((@list tptp.nil tptp.sk6 tptp.sk5))) % 0.85/1.07 (step @p245 :rule true_intro :premises (@p183)) % 0.85/1.07 (step @p246 :rule symm :premises (@p188)) % 0.85/1.07 (step @p247 :rule refl :args (tptp.sk5)) % 0.85/1.07 (step @p248 :rule eq-symm :args (@t54 @t2)) % 0.85/1.07 (step @p249 :rule nary_cong :premises (@p198 @p248) :args (@t55)) % 0.85/1.07 (step @p250 :rule cong :premises (@p249) :args (@t56)) % 0.85/1.07 (step @p251 :rule eq_resolve :premises (@p74 @p250)) % 0.85/1.07 (step @p252 :rule instantiate :premises (@p251) :args (@t171)) % 0.85/1.07 (step @p253 :rule cnf_or_pos :args (@t185)) % 0.85/1.07 (step @p254 :rule reordering :premises (@p253) :args ((or @t184 @t183 (not @t185)))) % 0.85/1.07 (step @p255 :rule chain_m_resolution :premises (@p254 @p191 @p252) :args (@t183 @t166 (@list @t157 @t185))) % 0.85/1.07 (step @p256 :rule symm :premises (@p255)) % 0.85/1.07 (step @p257 :rule cong :premises (@p256 @p247) :args (@t186)) % 0.85/1.07 (step @p258 :rule trans :premises (@p257 @p193 @p246)) % 0.85/1.07 (step @p259 :rule cong :premises (@p258) :args (@t187)) % 0.85/1.07 (step @p260 :rule trans :premises (@p259 @p245)) % 0.85/1.07 (step @p261 :rule true_elim :premises (@p260)) % 0.85/1.07 (step @p262 :rule cnf_or_pos :args (@t192)) % 0.85/1.07 (step @p263 :rule reordering :premises (@p262) :args ((or @t190 @t191 @t184 @t189 @t188 (not @t192)))) % 0.85/1.07 (step @p264 :rule chain_m_resolution :premises (@p263 @p8 @p190 @p191 @p261 @p244) :args (@t188 @t193 (@list @t1 @t156 @t157 @t187 @t192))) % 0.85/1.07 (step @p265 :rule true_intro :premises (@p264)) % 0.85/1.07 (step @p266 :rule refl :args (tptp.sk6)) % 0.85/1.07 (step @p267 :rule cong :premises (@p255 @p247) :args (@t159)) % 0.85/1.07 (step @p268 :rule symm :premises (@p193)) % 0.85/1.07 (step @p269 :rule trans :premises (@p188 @p268 @p267)) % 0.85/1.07 (step @p270 :rule cong :premises (@p269 @p266) :args (@t194)) % 0.85/1.07 (step @p271 :rule trans :premises (@p270 @p265)) % 0.85/1.07 (step @p272 :rule true_elim :premises (@p271)) % 0.85/1.07 (step @p273 :rule instantiate :premises (@p243) :args ((@list tptp.sk5 tptp.sk6 tptp.nil))) % 0.85/1.07 (step @p274 :rule true_intro :premises (@p184)) % 0.85/1.07 (step @p275 :rule eq-symm :args (@t51 @t2)) % 0.85/1.07 (step @p276 :rule nary_cong :premises (@p198 @p275) :args (@t52)) % 0.85/1.07 (step @p277 :rule cong :premises (@p276) :args (@t53)) % 0.85/1.07 (step @p278 :rule eq_resolve :premises (@p73 @p277)) % 0.85/1.07 (step @p279 :rule instantiate :premises (@p278) :args (@t167)) % 0.85/1.07 (step @p280 :rule cnf_or_pos :args (@t197)) % 0.85/1.07 (step @p281 :rule reordering :premises (@p280) :args ((or @t169 @t196 (not @t197)))) % 0.85/1.07 (step @p282 :rule chain_m_resolution :premises (@p281 @p184 @p279) :args (@t196 @t166 (@list @t154 @t197))) % 0.85/1.07 (step @p283 :rule symm :premises (@p282)) % 0.85/1.07 (step @p284 :rule refl :args (tptp.nil)) % 0.85/1.07 (step @p285 :rule trans :premises (@p192 @p213)) % 0.85/1.07 (step @p286 :rule cong :premises (@p285 @p284) :args (@t198)) % 0.85/1.07 (step @p287 :rule trans :premises (@p286 @p283)) % 0.85/1.07 (step @p288 :rule cong :premises (@p287) :args (@t199)) % 0.85/1.07 (step @p289 :rule trans :premises (@p288 @p274)) % 0.85/1.07 (step @p290 :rule true_elim :premises (@p289)) % 0.85/1.07 (step @p291 :rule cnf_or_pos :args (@t202)) % 0.85/1.07 (step @p292 :rule reordering :premises (@p291) :args ((or @t190 @t191 @t184 @t201 @t200 (not @t202)))) % 0.85/1.07 (step @p293 :rule chain_m_resolution :premises (@p292 @p8 @p190 @p191 @p290 @p273) :args (@t200 @t193 (@list @t1 @t156 @t157 @t199 @t202))) % 0.85/1.07 (step @p294 :rule true_intro :premises (@p293)) % 0.85/1.07 (step @p295 :rule symm :premises (@p192)) % 0.85/1.07 (step @p296 :rule trans :premises (@p187 @p295)) % 0.85/1.07 (step @p297 :rule cong :premises (@p296 @p284) :args (@t195)) % 0.85/1.07 (step @p298 :rule trans :premises (@p282 @p297)) % 0.85/1.07 (step @p299 :rule cong :premises (@p298 @p266) :args (@t203)) % 0.85/1.07 (step @p300 :rule trans :premises (@p299 @p294)) % 0.85/1.07 (step @p301 :rule true_elim :premises (@p300)) % 0.85/1.07 (step @p302 :rule cnf_or_pos :args (@t208)) % 0.85/1.07 (step @p303 :rule reordering :premises (@p302) :args ((or @t184 @t207 @t205 @t204 (not @t208)))) % 0.85/1.07 (step @p304 :rule chain_m_resolution :premises (@p303 @p191 @p301 @p272 @p215) :args (@t207 @t209 (@list @t157 @t203 @t194 @t208))) % 0.85/1.07 (step @p305 :rule cnf_or_pos :args (@t211)) % 0.85/1.07 (step @p306 :rule reordering :premises (@p305) :args ((or @t190 @t184 @t210 @t206 (not @t211)))) % 0.85/1.07 (step @p307 :rule chain_m_resolution :premises (@p306 @p8 @p191 @p304 @p214) :args (@t210 @t212 (@list @t1 @t157 @t206 @t211))) % 0.85/1.07 (step @p308 :rule cong :premises (@p247 @p307) :args (@t213)) % 0.85/1.07 (step @p309 :rule instantiate :premises (@p278) :args (@t214)) % 0.85/1.07 (step @p310 :rule cnf_or_pos :args (@t216)) % 0.85/1.07 (step @p311 :rule reordering :premises (@p310) :args ((or @t191 @t215 (not @t216)))) % 0.85/1.07 (step @p312 :rule chain_m_resolution :premises (@p311 @p190 @p309) :args (@t215 @t166 (@list @t156 @t216))) % 0.85/1.07 (step @p313 :rule instantiate :premises (@p251) :args (@t214)) % 0.85/1.07 (step @p314 :rule cnf_or_pos :args (@t219)) % 0.85/1.07 (step @p315 :rule reordering :premises (@p314) :args ((or @t191 @t218 (not @t219)))) % 0.85/1.07 (step @p316 :rule chain_m_resolution :premises (@p315 @p190 @p313) :args (@t218 @t166 (@list @t156 @t219))) % 0.85/1.07 (step @p317 :rule symm :premises (@p316)) % 0.85/1.07 (step @p318 :rule symm :premises (@p307)) % 0.85/1.07 (step @p319 :rule trans :premises (@p256 @p318)) % 0.85/1.07 (step @p320 :rule cong :premises (@p319 @p247) :args (@t186)) % 0.85/1.07 (step @p321 :rule trans :premises (@p188 @p268 @p267 @p320 @p317 @p312 @p308 @p192 @p213)) % 0.85/1.07 (step @p322 :rule instantiate :premises (@p251) :args (@t167)) % 0.85/1.07 (step @p323 :rule cnf_or_pos :args (@t221)) % 0.85/1.07 (step @p324 :rule reordering :premises (@p323) :args ((or @t169 @t220 (not @t221)))) % 0.85/1.07 (step @p325 :rule chain_m_resolution :premises (@p324 @p184 @p322) :args (@t220 @t166 (@list @t154 @t221))) % 0.85/1.07 (step @p326 :rule symm :premises (@p325)) % 0.85/1.07 (step @p327 :rule refl :args (tptp.sk2)) % 0.85/1.07 (step @p328 :rule eq-symm :args (@t128 @t2)) % 0.85/1.07 (step @p329 :rule refl :args (@t105)) % 0.85/1.07 (step @p330 :rule nary_cong :premises (@p329 @p197 @p198 @p328) :args (@t129)) % 0.85/1.07 (step @p331 :rule cong :premises (@p330) :args (@t130)) % 0.85/1.07 (step @p332 :rule eq_resolve :premises (@p165 @p331)) % 0.85/1.07 (step @p333 :rule instantiate :premises (@p332) :args ((@list tptp.nil tptp.nil))) % 0.85/1.07 (step @p334 :rule aci_norm :args ((= (or false @t190 @t222) (or @t190 @t222)))) % 0.85/1.07 (step @p335 :rule refl :args (@t222)) % 0.85/1.07 (step @p336 :rule refl :args (@t190)) % 0.85/1.07 (step @p337 :rule eq-refl :args (tptp.nil)) % 0.85/1.07 (step @p338 :rule cong :premises (@p337) :args (@t223)) % 0.85/1.07 (step @p339 :rule trans :premises (@p338 @p220)) % 0.85/1.07 (step @p340 :rule nary_cong :premises (@p339 @p336 @p335) :args (@t224)) % 0.85/1.07 (step @p341 :rule trans :premises (@p340 @p334)) % 0.85/1.07 (step @p342 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t61 @t47 @t60)) @t224))) % 0.85/1.07 (step @p343 :rule refl :args (@t60)) % 0.85/1.07 (step @p344 :rule refl :args (@t47)) % 0.85/1.07 (step @p345 :rule refl :args (@t61)) % 0.85/1.07 (step @p346 :rule eq-symm :args (tptp.nil @t2)) % 0.85/1.07 (step @p347 :rule cong :premises (@p346) :args (@t61)) % 0.85/1.07 (step @p348 :rule nary_cong :premises (@p347 @p345 @p344 @p343) :args (@t225)) % 0.85/1.07 (step @p349 :rule aci_norm :args ((= @t62 @t225))) % 0.85/1.07 (step @p350 :rule trans :premises (@p349 @p348)) % 0.85/1.07 (step @p351 :rule cong :premises (@p350) :args (@t63)) % 0.85/1.07 (step @p352 :rule trans :premises (@p351 @p342)) % 0.85/1.07 (step @p353 :rule trans :premises (@p352 @p341)) % 0.85/1.07 (step @p354 :rule eq_resolve :premises (@p77 @p353)) % 0.85/1.07 (step @p355 :rule chain_m_resolution :premises (@p354 @p8) :args (@t222 (@list false) (@list @t1))) % 0.85/1.07 (step @p356 :rule cnf_or_pos :args (@t229)) % 0.85/1.07 (step @p357 :rule factoring :premises (@p356)) % 0.85/1.07 (step @p358 :rule reordering :premises (@p357) :args ((or @t190 @t228 @t227 (not @t229)))) % 0.85/1.07 (step @p359 :rule chain_m_resolution :premises (@p358 @p8 @p355 @p333) :args (@t227 (@list false false false) (@list @t1 @t222 @t229))) % 0.85/1.07 (step @p360 :rule symm :premises (@p359)) % 0.85/1.07 (step @p361 :rule cong :premises (@p360 @p327) :args (@t230)) % 0.85/1.07 (step @p362 :rule trans :premises (@p361 @p326)) % 0.85/1.07 (step @p363 :rule cong :premises (@p362 @p321) :args ((tptp.segmentP @t230 tptp.sk1))) % 0.85/1.07 (step @p364 :rule refl :args (tptp.sk1)) % 0.85/1.07 (step @p365 :rule symm :premises (@p362)) % 0.85/1.07 (step @p366 :rule cong :premises (@p365 @p364) :args (@t231)) % 0.85/1.07 (step @p367 :rule trans :premises (@p366 @p363 @p212)) % 0.85/1.07 (step @p368 :rule true_elim :premises (@p367)) % 0.85/1.07 (step @p369 :rule cnf_or_pos :args (@t236)) % 0.85/1.07 (step @p370 :rule reordering :premises (@p369) :args ((or @t164 @t235 @t233 @t232 (not @t236)))) % 0.85/1.07 (step @p371 :rule chain_m_resolution :premises (@p370 @p183 @p368 @p207 @p203) :args (@t235 @t209 (@list @t153 @t231 @t163 @t236))) % 0.85/1.07 (step @p372 :rule cnf_or_pos :args (@t237)) % 0.85/1.07 (step @p373 :rule reordering :premises (@p372) :args ((or @t160 @t190 @t164 @t234 (not @t237)))) % 0.85/1.07 (step @p374 :rule chain_m_resolution :premises (@p373 @p8 @p183 @p371 @p202) :args (@t160 @t212 (@list @t1 @t153 @t234 @t237))) % 0.85/1.07 (step @p375 :rule instantiate :premises (@p201) :args ((@list tptp.nil tptp.sk2))) % 0.85/1.07 (step @p376 :rule instantiate :premises (@p189) :args (@t167)) % 0.85/1.07 (step @p377 :rule true_intro :premises (@p207)) % 0.85/1.07 (step @p378 :rule trans :premises (@p307 @p255)) % 0.85/1.07 (step @p379 :rule cong :premises (@p378 @p247) :args (@t217)) % 0.85/1.07 (step @p380 :rule symm :premises (@p312)) % 0.85/1.07 (step @p381 :rule cong :premises (@p247 @p318) :args (@t158)) % 0.85/1.07 (step @p382 :rule trans :premises (@p187 @p295 @p381 @p380 @p316 @p379 @p257 @p193 @p246)) % 0.85/1.07 (step @p383 :rule cong :premises (@p364 @p382) :args (@t238)) % 0.85/1.07 (step @p384 :rule trans :premises (@p383 @p377)) % 0.85/1.07 (step @p385 :rule true_elim :premises (@p384)) % 0.85/1.07 (step @p386 :rule cnf_or_pos :args (@t243)) % 0.85/1.07 (step @p387 :rule reordering :premises (@p386) :args ((or @t169 @t242 @t240 @t239 (not @t243)))) % 0.85/1.07 (step @p388 :rule chain_m_resolution :premises (@p387 @p184 @p211 @p385 @p376) :args (@t242 @t209 (@list @t154 @t168 @t238 @t243))) % 0.85/1.07 (step @p389 :rule cnf_or_pos :args (@t244)) % 0.85/1.07 (step @p390 :rule reordering :premises (@p389) :args ((or @t161 @t190 @t169 @t241 (not @t244)))) % 0.85/1.07 (step @p391 :rule chain_m_resolution :premises (@p390 @p8 @p184 @p388 @p375) :args (@t161 @t212 (@list @t1 @t154 @t241 @t244))) % 0.85/1.07 (step @p392 false :rule chain_m_resolution :premises (@p194 @p391 @p374) :args (false @t166 (@list @t161 @t160))) % 0.85/1.07 ) % 0.85/1.07 % SZS output end Proof % 0.85/1.07 % cvc5 exiting %------------------------------------------------------------------------------