%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC239-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : 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 08:58:34 AM UTC 2026 % Result : Unsatisfiable 1.61s 1.81s % Output : Proof 1.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC239-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 19:29:49 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.61/1.81 % SZS status Unsatisfiable % 1.61/1.81 % SZS output start Proof % 1.61/1.81 ( % 1.61/1.81 (declare-sort $$unsorted 0) % 1.61/1.81 (declare-const tptp.sk6 $$unsorted) % 1.61/1.81 (declare-const tptp.sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.sk4 $$unsorted) % 1.61/1.81 (declare-const tptp.sk2 $$unsorted) % 1.61/1.81 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.nil $$unsorted) % 1.61/1.81 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.sk1 $$unsorted) % 1.61/1.81 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.skac2 $$unsorted) % 1.61/1.81 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.sk3 $$unsorted) % 1.61/1.81 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skac3 $$unsorted) % 1.61/1.81 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 1.61/1.81 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.61/1.81 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.61/1.81 (define @t1 () (tptp.ssList tptp.nil)) % 1.61/1.81 (define @t2 () (@var "U" $$unsorted)) % 1.61/1.81 (define @t3 () (tptp.skaf83 @t2)) % 1.61/1.81 (define @t4 () (@list @t2)) % 1.61/1.81 (define @t5 () (tptp.skaf82 @t2)) % 1.61/1.81 (define @t6 () (tptp.skaf81 @t2)) % 1.61/1.81 (define @t7 () (tptp.skaf80 @t2)) % 1.61/1.81 (define @t8 () (tptp.skaf79 @t2)) % 1.61/1.81 (define @t9 () (tptp.skaf78 @t2)) % 1.61/1.81 (define @t10 () (tptp.skaf77 @t2)) % 1.61/1.81 (define @t11 () (tptp.skaf76 @t2)) % 1.61/1.81 (define @t12 () (tptp.skaf75 @t2)) % 1.61/1.81 (define @t13 () (tptp.skaf74 @t2)) % 1.61/1.81 (define @t14 () (tptp.skaf73 @t2)) % 1.61/1.81 (define @t15 () (tptp.skaf72 @t2)) % 1.61/1.81 (define @t16 () (tptp.skaf71 @t2)) % 1.61/1.81 (define @t17 () (tptp.skaf70 @t2)) % 1.61/1.81 (define @t18 () (tptp.skaf69 @t2)) % 1.61/1.81 (define @t19 () (tptp.skaf68 @t2)) % 1.61/1.81 (define @t20 () (tptp.skaf67 @t2)) % 1.61/1.81 (define @t21 () (tptp.skaf66 @t2)) % 1.61/1.81 (define @t22 () (tptp.skaf65 @t2)) % 1.61/1.81 (define @t23 () (tptp.skaf64 @t2)) % 1.61/1.81 (define @t24 () (tptp.skaf63 @t2)) % 1.61/1.81 (define @t25 () (tptp.skaf62 @t2)) % 1.61/1.81 (define @t26 () (tptp.skaf61 @t2)) % 1.61/1.81 (define @t27 () (tptp.skaf60 @t2)) % 1.61/1.81 (define @t28 () (tptp.skaf59 @t2)) % 1.61/1.81 (define @t29 () (tptp.skaf58 @t2)) % 1.61/1.81 (define @t30 () (tptp.skaf57 @t2)) % 1.61/1.81 (define @t31 () (tptp.skaf56 @t2)) % 1.61/1.81 (define @t32 () (tptp.skaf55 @t2)) % 1.61/1.81 (define @t33 () (tptp.skaf54 @t2)) % 1.61/1.81 (define @t34 () (tptp.skaf53 @t2)) % 1.61/1.81 (define @t35 () (tptp.skaf52 @t2)) % 1.61/1.81 (define @t36 () (tptp.skaf51 @t2)) % 1.61/1.81 (define @t37 () (tptp.skaf50 @t2)) % 1.61/1.81 (define @t38 () (tptp.skaf49 @t2)) % 1.61/1.81 (define @t39 () (tptp.skaf44 @t2)) % 1.61/1.81 (define @t40 () (@var "V" $$unsorted)) % 1.61/1.81 (define @t41 () (@list @t2 @t40)) % 1.61/1.81 (define @t42 () (tptp.skaf47 @t2 @t40)) % 1.61/1.81 (define @t43 () (tptp.skaf46 @t2 @t40)) % 1.61/1.81 (define @t44 () (tptp.skaf45 @t2 @t40)) % 1.61/1.81 (define @t45 () (tptp.skaf42 @t2 @t40)) % 1.61/1.81 (define @t46 () (not (tptp.ssItem @t2))) % 1.61/1.81 (define @t47 () (not (tptp.ssList @t2))) % 1.61/1.81 (define @t48 () (tptp.cons @t2 tptp.nil)) % 1.61/1.81 (define @t49 () (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 1.61/1.81 (define @t50 () (tptp.ssItem @t40)) % 1.61/1.81 (define @t51 () (tptp.duplicatefreeP @t2)) % 1.61/1.81 (define @t52 () (tptp.app @t2 tptp.nil)) % 1.61/1.81 (define @t53 () (or @t47 (= @t52 @t2))) % 1.61/1.81 (define @t54 () (forall @t4 @t53)) % 1.61/1.81 (define @t55 () (tptp.app tptp.nil @t2)) % 1.61/1.81 (define @t56 () (or @t47 (= @t55 @t2))) % 1.61/1.81 (define @t57 () (forall @t4 @t56)) % 1.61/1.81 (define @t58 () (= tptp.nil @t2)) % 1.61/1.81 (define @t59 () (tptp.tl @t2)) % 1.61/1.81 (define @t60 () (tptp.hd @t2)) % 1.61/1.81 (define @t61 () (tptp.segmentP tptp.nil @t2)) % 1.61/1.81 (define @t62 () (not @t58)) % 1.61/1.81 (define @t63 () (tptp.rearsegP tptp.nil @t2)) % 1.61/1.81 (define @t64 () (tptp.frontsegP tptp.nil @t2)) % 1.61/1.81 (define @t65 () (tptp.app @t40 @t2)) % 1.61/1.81 (define @t66 () (not (tptp.ssList @t40))) % 1.61/1.81 (define @t67 () (tptp.cons @t2 @t40)) % 1.61/1.81 (define @t68 () (tptp.cyclefreeP @t2)) % 1.61/1.81 (define @t69 () (tptp.equalelemsP @t2)) % 1.61/1.81 (define @t70 () (tptp.strictorderedP @t2)) % 1.61/1.81 (define @t71 () (tptp.totalorderedP @t2)) % 1.61/1.81 (define @t72 () (tptp.strictorderP @t2)) % 1.61/1.81 (define @t73 () (tptp.totalorderP @t2)) % 1.61/1.81 (define @t74 () (= @t40 @t2)) % 1.61/1.81 (define @t75 () (tptp.neq @t40 @t2)) % 1.61/1.81 (define @t76 () (tptp.cons @t39 tptp.nil)) % 1.61/1.81 (define @t77 () (not (tptp.singletonP @t2))) % 1.61/1.81 (define @t78 () (or @t77 @t47 (= @t76 @t2))) % 1.61/1.81 (define @t79 () (forall @t4 @t78)) % 1.61/1.81 (define @t80 () (not @t50)) % 1.61/1.81 (define @t81 () (tptp.leq @t2 @t40)) % 1.61/1.81 (define @t82 () (tptp.lt @t2 @t40)) % 1.61/1.81 (define @t83 () (not @t82)) % 1.61/1.81 (define @t84 () (tptp.lt @t40 @t2)) % 1.61/1.81 (define @t85 () (not (tptp.gt @t2 @t40))) % 1.61/1.81 (define @t86 () (tptp.gt @t40 @t2)) % 1.61/1.81 (define @t87 () (tptp.leq @t40 @t2)) % 1.61/1.81 (define @t88 () (not (tptp.geq @t2 @t40))) % 1.61/1.81 (define @t89 () (tptp.geq @t40 @t2)) % 1.61/1.81 (define @t90 () (not @t81)) % 1.61/1.81 (define @t91 () (= @t2 @t40)) % 1.61/1.81 (define @t92 () (not @t91)) % 1.61/1.81 (define @t93 () (tptp.cons @t40 @t2)) % 1.61/1.81 (define @t94 () (not (tptp.neq @t2 @t40))) % 1.61/1.81 (define @t95 () (tptp.singletonP @t40)) % 1.61/1.81 (define @t96 () (not (= @t48 @t40))) % 1.61/1.81 (define @t97 () (or @t96 @t46 @t66 @t95)) % 1.61/1.81 (define @t98 () (forall @t41 @t97)) % 1.61/1.81 (define @t99 () (tptp.app @t2 @t40)) % 1.61/1.81 (define @t100 () (= @t99 tptp.nil)) % 1.61/1.81 (define @t101 () (not @t100)) % 1.61/1.81 (define @t102 () (= tptp.nil @t40)) % 1.61/1.81 (define @t103 () (tptp.hd @t40)) % 1.61/1.81 (define @t104 () (tptp.strictorderedP @t40)) % 1.61/1.81 (define @t105 () (tptp.strictorderedP @t67)) % 1.61/1.81 (define @t106 () (not @t105)) % 1.61/1.81 (define @t107 () (tptp.totalorderedP @t40)) % 1.61/1.81 (define @t108 () (tptp.totalorderedP @t67)) % 1.61/1.81 (define @t109 () (not @t108)) % 1.61/1.81 (define @t110 () (not (tptp.segmentP @t2 @t40))) % 1.61/1.81 (define @t111 () (not (tptp.rearsegP @t2 @t40))) % 1.61/1.81 (define @t112 () (not (tptp.frontsegP @t2 @t40))) % 1.61/1.81 (define @t113 () (not @t87)) % 1.61/1.81 (define @t114 () (tptp.tl @t40)) % 1.61/1.81 (define @t115 () (tptp.lt @t2 @t103)) % 1.61/1.81 (define @t116 () (tptp.leq @t2 @t103)) % 1.61/1.81 (define @t117 () (@var "W" $$unsorted)) % 1.61/1.81 (define @t118 () (tptp.app @t117 @t2)) % 1.61/1.81 (define @t119 () (not (tptp.ssList @t117))) % 1.61/1.81 (define @t120 () (@list @t2 @t40 @t117)) % 1.61/1.81 (define @t121 () (tptp.app @t2 @t117)) % 1.61/1.81 (define @t122 () (tptp.cons @t40 @t117)) % 1.61/1.81 (define @t123 () (tptp.cons @t117 @t2)) % 1.61/1.81 (define @t124 () (not (tptp.ssItem @t117))) % 1.61/1.81 (define @t125 () (not (tptp.memberP @t2 @t40))) % 1.61/1.81 (define @t126 () (not (= @t99 @t117))) % 1.61/1.81 (define @t127 () (tptp.lt @t2 @t117)) % 1.61/1.81 (define @t128 () (not (tptp.lt @t40 @t117))) % 1.61/1.81 (define @t129 () (tptp.app @t117 @t40)) % 1.61/1.81 (define @t130 () (= @t40 @t117)) % 1.61/1.81 (define @t131 () (= @t2 @t117)) % 1.61/1.81 (define @t132 () (tptp.memberP @t40 @t117)) % 1.61/1.81 (define @t133 () (@var "X" $$unsorted)) % 1.61/1.81 (define @t134 () (not (tptp.ssList @t133))) % 1.61/1.81 (define @t135 () (tptp.cons @t117 @t133)) % 1.61/1.81 (define @t136 () (not (= @t67 @t135))) % 1.61/1.81 (define @t137 () (@list @t2 @t40 @t117 @t133)) % 1.61/1.81 (define @t138 () (not (tptp.frontsegP @t67 @t135))) % 1.61/1.81 (define @t139 () (tptp.app @t2 @t122)) % 1.61/1.81 (define @t140 () (not (tptp.ssItem @t133))) % 1.61/1.81 (define @t141 () (@var "Y" $$unsorted)) % 1.61/1.81 (define @t142 () (not (tptp.ssList @t141))) % 1.61/1.81 (define @t143 () (@list @t2 @t40 @t117 @t133 @t141)) % 1.61/1.81 (define @t144 () (tptp.lt @t40 @t133)) % 1.61/1.81 (define @t145 () (@var "Z" $$unsorted)) % 1.61/1.81 (define @t146 () (not (tptp.ssList @t145))) % 1.61/1.81 (define @t147 () (not (= (tptp.app @t139 (tptp.cons @t133 @t141)) @t145))) % 1.61/1.81 (define @t148 () (@list @t2 @t40 @t117 @t133 @t141 @t145)) % 1.61/1.81 (define @t149 () (tptp.leq @t40 @t133)) % 1.61/1.81 (define @t150 () (tptp.ssList tptp.sk1)) % 1.61/1.81 (define @t151 () (@var "A" $$unsorted)) % 1.61/1.81 (define @t152 () (@var "B" $$unsorted)) % 1.61/1.81 (define @t153 () (@var "C" $$unsorted)) % 1.61/1.81 (define @t154 () (tptp.sk5 @t153 @t152 @t151)) % 1.61/1.81 (define @t155 () (tptp.ssItem @t154)) % 1.61/1.81 (define @t156 () (tptp.app (tptp.app @t152 (tptp.cons @t151 tptp.nil)) @t153)) % 1.61/1.81 (define @t157 () (not (= @t156 tptp.sk1))) % 1.61/1.81 (define @t158 () (not (tptp.ssList @t153))) % 1.61/1.81 (define @t159 () (not (tptp.ssList @t152))) % 1.61/1.81 (define @t160 () (not (tptp.ssItem @t151))) % 1.61/1.81 (define @t161 () (or @t160 @t159 @t158 @t157 @t155)) % 1.61/1.81 (define @t162 () (@list @t151 @t152 @t153)) % 1.61/1.81 (define @t163 () (forall @t162 @t161)) % 1.61/1.81 (define @t164 () (tptp.memberP @t152 @t154)) % 1.61/1.81 (define @t165 () (or @t160 @t159 @t158 @t157 @t164)) % 1.61/1.81 (define @t166 () (forall @t162 @t165)) % 1.61/1.81 (define @t167 () (= tptp.nil tptp.sk4)) % 1.61/1.81 (define @t168 () (tptp.ssItem tptp.sk6)) % 1.61/1.81 (define @t169 () (= tptp.nil tptp.sk3)) % 1.61/1.81 (define @t170 () (tptp.cons tptp.sk6 tptp.nil)) % 1.61/1.81 (define @t171 () (= @t170 tptp.sk3)) % 1.61/1.81 (define @t172 () (tptp.memberP tptp.sk4 tptp.sk6)) % 1.61/1.81 (define @t173 () (not (tptp.leq tptp.sk6 @t151))) % 1.61/1.81 (define @t174 () (not (tptp.memberP tptp.sk4 @t151))) % 1.61/1.81 (define @t175 () (= tptp.sk6 @t151)) % 1.61/1.81 (define @t176 () (@list @t151)) % 1.61/1.81 (define @t177 () (or @t171 @t169)) % 1.61/1.81 (define @t178 () (tptp.skaf44 tptp.sk1)) % 1.61/1.81 (define @t179 () (@list @t178 tptp.nil tptp.nil)) % 1.61/1.81 (define @t180 () (@list tptp.sk1)) % 1.61/1.81 (define @t181 () (tptp.singletonP @t48)) % 1.61/1.81 (define @t182 () (not (tptp.ssList @t48))) % 1.61/1.81 (define @t183 () (not (= @t48 @t48))) % 1.61/1.81 (define @t184 () (or @t183 @t46 @t182 @t181)) % 1.61/1.81 (define @t185 () (not (= @t40 @t48))) % 1.61/1.81 (define @t186 () (or @t185 @t185 @t46 @t66 @t95)) % 1.61/1.81 (define @t187 () (@list @t40)) % 1.61/1.81 (define @t188 () (or @t185 @t46 @t66 @t95)) % 1.61/1.81 (define @t189 () (forall @t187 @t188)) % 1.61/1.81 (define @t190 () (forall @t4 @t189)) % 1.61/1.81 (define @t191 () (= tptp.sk3 @t170)) % 1.61/1.81 (define @t192 () (@list true)) % 1.61/1.81 (define @t193 () (@list @t169)) % 1.61/1.81 (define @t194 () (tptp.ssList @t170)) % 1.61/1.81 (define @t195 () (tptp.singletonP @t170)) % 1.61/1.81 (define @t196 () (not @t194)) % 1.61/1.81 (define @t197 () (not @t168)) % 1.61/1.81 (define @t198 () (or @t197 @t196 @t195)) % 1.61/1.81 (define @t199 () (@list false false false)) % 1.61/1.81 (define @t200 () (tptp.singletonP tptp.sk1)) % 1.61/1.81 (define @t201 () (tptp.cons @t178 tptp.nil)) % 1.61/1.81 (define @t202 () (= tptp.sk1 @t201)) % 1.61/1.81 (define @t203 () (not @t150)) % 1.61/1.81 (define @t204 () (not @t200)) % 1.61/1.81 (define @t205 () (or @t204 @t203 @t202)) % 1.61/1.81 (define @t206 () (tptp.app tptp.nil tptp.sk1)) % 1.61/1.81 (define @t207 () (= tptp.sk1 @t206)) % 1.61/1.81 (define @t208 () (or @t203 @t207)) % 1.61/1.81 (define @t209 () (@list false false)) % 1.61/1.81 (define @t210 () (tptp.app tptp.sk1 tptp.nil)) % 1.61/1.81 (define @t211 () (= tptp.sk1 @t210)) % 1.61/1.81 (define @t212 () (or @t203 @t211)) % 1.61/1.81 (define @t213 () (tptp.sk5 tptp.nil tptp.nil @t178)) % 1.61/1.81 (define @t214 () (tptp.memberP tptp.nil @t213)) % 1.61/1.81 (define @t215 () (= tptp.sk1 (tptp.app (tptp.app tptp.nil @t201) tptp.nil))) % 1.61/1.81 (define @t216 () (not @t215)) % 1.61/1.81 (define @t217 () (not @t1)) % 1.61/1.81 (define @t218 () (tptp.ssItem @t178)) % 1.61/1.81 (define @t219 () (not @t218)) % 1.61/1.81 (define @t220 () (or @t219 @t217 @t217 @t216 @t214)) % 1.61/1.81 (define @t221 () (@list false false false false)) % 1.61/1.81 (define @t222 () (tptp.ssItem @t213)) % 1.61/1.81 (define @t223 () (or @t219 @t217 @t217 @t216 @t222)) % 1.61/1.81 (define @t224 () (not @t222)) % 1.61/1.81 (define @t225 () (not @t214)) % 1.61/1.81 (define @t226 () (or @t225 @t224)) % 1.61/1.81 (define @t227 () (not @t226)) % 1.61/1.81 (assume @p1 (tptp.equalelemsP tptp.nil)) % 1.61/1.81 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 1.61/1.81 (assume @p3 (tptp.strictorderedP tptp.nil)) % 1.61/1.81 (assume @p4 (tptp.totalorderedP tptp.nil)) % 1.61/1.81 (assume @p5 (tptp.strictorderP tptp.nil)) % 1.61/1.81 (assume @p6 (tptp.totalorderP tptp.nil)) % 1.61/1.81 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 1.61/1.81 (assume @p8 @t1) % 1.61/1.81 (assume @p9 (tptp.ssItem tptp.skac3)) % 1.61/1.81 (assume @p10 (tptp.ssItem tptp.skac2)) % 1.61/1.81 (assume @p11 (not (tptp.singletonP tptp.nil))) % 1.61/1.81 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 1.61/1.81 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 1.61/1.81 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 1.61/1.81 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 1.61/1.81 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 1.61/1.81 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 1.61/1.81 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 1.61/1.81 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 1.61/1.81 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 1.61/1.81 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 1.61/1.81 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 1.61/1.81 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 1.61/1.81 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 1.61/1.81 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 1.61/1.81 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 1.61/1.81 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 1.61/1.81 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 1.61/1.81 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 1.61/1.81 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 1.61/1.81 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 1.61/1.81 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 1.61/1.81 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 1.61/1.81 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 1.61/1.81 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 1.61/1.81 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 1.61/1.81 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 1.61/1.81 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 1.61/1.81 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 1.61/1.81 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 1.61/1.81 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 1.61/1.81 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 1.61/1.81 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 1.61/1.81 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 1.61/1.81 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 1.61/1.81 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 1.61/1.81 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 1.61/1.81 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 1.61/1.81 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 1.61/1.81 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 1.61/1.81 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 1.61/1.81 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 1.61/1.81 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 1.61/1.81 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 1.61/1.81 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 1.61/1.81 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 1.61/1.81 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 1.61/1.81 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 1.61/1.81 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 1.61/1.81 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 1.61/1.81 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 1.61/1.81 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 1.61/1.81 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 1.61/1.81 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 1.61/1.81 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 1.61/1.81 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 1.61/1.81 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 1.61/1.81 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 1.61/1.81 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 1.61/1.82 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 1.61/1.82 (assume @p71 @t49) % 1.61/1.82 (assume @p72 (forall @t41 (or @t47 @t51 @t50))) % 1.61/1.82 (assume @p73 @t54) % 1.61/1.82 (assume @p74 @t57) % 1.61/1.82 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t59) @t58))) % 1.61/1.82 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t60) @t58))) % 1.61/1.82 (assume @p77 (forall @t4 (or @t62 @t47 @t61))) % 1.61/1.82 (assume @p78 (forall @t4 (or (not @t61) @t47 @t58))) % 1.61/1.82 (assume @p79 (forall @t4 (or @t62 @t47 @t63))) % 1.61/1.82 (assume @p80 (forall @t4 (or (not @t63) @t47 @t58))) % 1.61/1.82 (assume @p81 (forall @t4 (or @t62 @t47 @t64))) % 1.61/1.82 (assume @p82 (forall @t4 (or (not @t64) @t47 @t58))) % 1.61/1.82 (assume @p83 (forall @t41 (or @t47 @t66 (tptp.ssList @t65)))) % 1.61/1.82 (assume @p84 (forall @t41 (or @t46 @t66 (tptp.ssList @t67)))) % 1.61/1.82 (assume @p85 (forall @t4 (or @t47 @t68 (tptp.leq @t37 @t38)))) % 1.61/1.82 (assume @p86 (forall @t4 (or @t47 @t68 (tptp.leq @t38 @t37)))) % 1.61/1.82 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t69))) % 1.61/1.82 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t70))) % 1.61/1.82 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t71))) % 1.61/1.82 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t72))) % 1.61/1.82 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t72))) % 1.61/1.82 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t73))) % 1.61/1.82 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t73))) % 1.61/1.82 (assume @p94 (forall @t41 (or @t46 @t66 (= (tptp.tl @t67) @t40)))) % 1.61/1.82 (assume @p95 (forall @t41 (or @t46 @t66 (= (tptp.hd @t67) @t2)))) % 1.61/1.82 (assume @p96 (forall @t41 (or (not (= @t67 tptp.nil)) @t46 @t66))) % 1.61/1.82 (assume @p97 (forall @t41 (or (not (= @t67 @t40)) @t46 @t66))) % 1.61/1.82 (assume @p98 (forall @t41 (or @t47 @t66 @t75 @t74))) % 1.61/1.82 (assume @p99 @t79) % 1.61/1.82 (assume @p100 (forall @t41 (or @t46 @t80 @t75 @t74))) % 1.61/1.82 (assume @p101 (forall @t41 (or @t83 @t80 @t46 @t81))) % 1.61/1.82 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t60 @t59) @t2) @t58))) % 1.61/1.82 (assume @p103 (forall @t41 (or @t85 @t80 @t46 @t84))) % 1.61/1.82 (assume @p104 (forall @t41 (or @t83 @t46 @t80 @t86))) % 1.61/1.82 (assume @p105 (forall @t41 (or @t88 @t80 @t46 @t87))) % 1.61/1.82 (assume @p106 (forall @t41 (or @t90 @t46 @t80 @t89))) % 1.61/1.82 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t58))) % 1.61/1.82 (assume @p108 (forall @t41 (or @t85 (not @t86) @t46 @t80))) % 1.61/1.82 (assume @p109 (forall @t41 (or @t92 @t83 @t80 @t46))) % 1.61/1.82 (assume @p110 (forall @t41 (or @t62 @t47 @t80 (tptp.strictorderedP @t93)))) % 1.61/1.82 (assume @p111 (forall @t41 (or @t62 @t47 @t80 (tptp.totalorderedP @t93)))) % 1.61/1.82 (assume @p112 (forall @t41 (or @t83 (not @t84) @t46 @t80))) % 1.61/1.82 (assume @p113 (forall @t41 (or @t92 @t94 @t66 @t47))) % 1.61/1.82 (assume @p114 @t98) % 1.61/1.82 (assume @p115 (forall @t41 (or @t92 @t94 @t80 @t46))) % 1.61/1.82 (assume @p116 (forall @t41 (or @t101 @t66 @t47 @t58))) % 1.61/1.82 (assume @p117 (forall @t41 (or @t101 @t66 @t47 @t102))) % 1.61/1.82 (assume @p118 (forall @t41 (or @t46 @t66 (= (tptp.app @t48 @t40) @t67)))) % 1.61/1.82 (assume @p119 (forall @t41 (or @t90 @t80 @t46 @t82 @t91))) % 1.61/1.82 (assume @p120 (forall @t41 (or @t47 @t66 @t102 (= (tptp.hd @t65) @t103)))) % 1.61/1.82 (assume @p121 (forall @t41 (or @t106 @t66 @t46 @t104 @t102))) % 1.61/1.82 (assume @p122 (forall @t41 (or @t109 @t66 @t46 @t107 @t102))) % 1.61/1.82 (assume @p123 (forall @t41 (or @t88 (not @t89) @t46 @t80 @t74))) % 1.61/1.82 (assume @p124 (forall @t41 (or @t110 (not (tptp.segmentP @t40 @t2)) @t47 @t66 @t74))) % 1.61/1.82 (assume @p125 (forall @t41 (or @t111 (not (tptp.rearsegP @t40 @t2)) @t47 @t66 @t74))) % 1.61/1.82 (assume @p126 (forall @t41 (or @t112 (not (tptp.frontsegP @t40 @t2)) @t47 @t66 @t74))) % 1.61/1.82 (assume @p127 (forall @t41 (or @t90 @t113 @t46 @t80 @t74))) % 1.61/1.82 (assume @p128 (forall @t41 (or @t111 @t66 @t47 (= (tptp.app @t43 @t40) @t2)))) % 1.61/1.82 (assume @p129 (forall @t41 (or @t112 @t66 @t47 (= (tptp.app @t40 @t44) @t2)))) % 1.61/1.82 (assume @p130 (forall @t41 (or @t47 @t66 @t102 (= (tptp.tl @t65) (tptp.app @t114 @t2))))) % 1.61/1.82 (assume @p131 (forall @t41 (or @t106 @t66 @t46 @t115 @t102))) % 1.61/1.82 (assume @p132 (forall @t41 (or @t109 @t66 @t46 @t116 @t102))) % 1.61/1.82 (assume @p133 (forall @t120 (or @t111 @t119 @t66 @t47 (tptp.rearsegP @t118 @t40)))) % 1.61/1.82 (assume @p134 (forall @t120 (or @t112 @t119 @t66 @t47 (tptp.frontsegP @t121 @t40)))) % 1.61/1.82 (assume @p135 (forall @t120 (or @t92 @t119 @t80 @t46 (tptp.memberP @t122 @t2)))) % 1.61/1.82 (assume @p136 (forall @t120 (or @t125 @t47 @t124 @t80 (tptp.memberP @t123 @t40)))) % 1.61/1.82 (assume @p137 (forall @t120 (or @t125 @t119 @t47 @t80 (tptp.memberP @t121 @t40)))) % 1.61/1.82 (assume @p138 (forall @t120 (or @t125 @t47 @t119 @t80 (tptp.memberP @t118 @t40)))) % 1.61/1.82 (assume @p139 (forall @t4 (or @t47 @t69 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 1.61/1.82 (assume @p140 (forall @t120 (or @t126 @t47 @t66 @t119 (tptp.rearsegP @t117 @t40)))) % 1.61/1.82 (assume @p141 (forall @t120 (or @t126 @t66 @t47 @t119 (tptp.frontsegP @t117 @t2)))) % 1.61/1.82 (assume @p142 (forall @t41 (or @t62 (not @t102) @t66 @t47 @t100))) % 1.61/1.82 (assume @p143 (forall @t120 (or @t85 (not (tptp.gt @t40 @t117)) @t124 @t80 @t46 (tptp.gt @t2 @t117)))) % 1.61/1.82 (assume @p144 (forall @t120 (or @t90 @t128 @t124 @t80 @t46 @t127))) % 1.61/1.82 (assume @p145 (forall @t120 (or @t88 (not (tptp.geq @t40 @t117)) @t124 @t80 @t46 (tptp.geq @t2 @t117)))) % 1.61/1.82 (assume @p146 (forall @t120 (or @t47 @t66 @t119 (= (tptp.app @t129 @t2) (tptp.app @t117 @t65))))) % 1.61/1.82 (assume @p147 (forall @t120 (or (not (= @t99 @t121)) @t66 @t47 @t119 @t130))) % 1.61/1.82 (assume @p148 (forall @t120 (or (not (= @t99 @t129)) @t47 @t66 @t119 @t131))) % 1.61/1.82 (assume @p149 (forall @t120 (or @t110 (not (tptp.segmentP @t40 @t117)) @t119 @t66 @t47 (tptp.segmentP @t2 @t117)))) % 1.61/1.82 (assume @p150 (forall @t120 (or @t111 (not (tptp.rearsegP @t40 @t117)) @t119 @t66 @t47 (tptp.rearsegP @t2 @t117)))) % 1.61/1.82 (assume @p151 (forall @t120 (or @t112 (not (tptp.frontsegP @t40 @t117)) @t119 @t66 @t47 (tptp.frontsegP @t2 @t117)))) % 1.61/1.82 (assume @p152 (forall @t120 (or @t83 @t128 @t124 @t80 @t46 @t127))) % 1.61/1.82 (assume @p153 (forall @t120 (or @t90 (not (tptp.leq @t40 @t117)) @t124 @t80 @t46 (tptp.leq @t2 @t117)))) % 1.61/1.82 (assume @p154 (forall @t120 (or @t46 @t66 @t119 (= (tptp.cons @t2 (tptp.app @t40 @t117)) (tptp.app @t67 @t117))))) % 1.61/1.82 (assume @p155 (forall @t120 (or (not (tptp.memberP @t99 @t117)) @t66 @t47 @t124 @t132 (tptp.memberP @t2 @t117)))) % 1.61/1.82 (assume @p156 (forall @t41 (or (not @t116) (not @t107) @t66 @t46 @t108 @t102))) % 1.61/1.82 (assume @p157 (forall @t41 (or (not @t115) (not @t104) @t66 @t46 @t105 @t102))) % 1.61/1.82 (assume @p158 (forall @t120 (or (not (tptp.memberP @t67 @t117)) @t66 @t46 @t124 @t132 (= @t117 @t2)))) % 1.61/1.82 (assume @p159 (forall @t4 (or @t47 @t51 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 1.61/1.82 (assume @p160 (forall @t4 (or @t47 @t70 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 1.61/1.82 (assume @p161 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 1.61/1.82 (assume @p162 (forall @t4 (or @t47 @t72 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 1.61/1.82 (assume @p163 (forall @t4 (or @t47 @t73 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 1.61/1.82 (assume @p164 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 1.61/1.82 (assume @p165 (forall @t41 (or @t110 @t66 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 1.61/1.82 (assume @p166 (forall @t41 (or @t125 @t80 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 1.61/1.82 (assume @p167 (forall @t137 (or @t136 @t124 @t46 @t134 @t66 @t131))) % 1.61/1.82 (assume @p168 (forall @t137 (or @t136 @t124 @t46 @t134 @t66 (= @t133 @t40)))) % 1.61/1.82 (assume @p169 (forall @t137 (or @t110 @t119 @t134 @t66 @t47 (tptp.segmentP (tptp.app (tptp.app @t133 @t2) @t117) @t40)))) % 1.61/1.82 (assume @p170 (forall @t137 (or (not (= (tptp.app @t99 @t117) @t133)) @t119 @t47 @t66 @t134 (tptp.segmentP @t133 @t40)))) % 1.61/1.82 (assume @p171 (forall @t137 (or @t138 @t134 @t66 @t124 @t46 (tptp.frontsegP @t40 @t133)))) % 1.61/1.82 (assume @p172 (forall @t137 (or (not (= @t139 @t133)) @t119 @t47 @t80 @t134 (tptp.memberP @t133 @t40)))) % 1.61/1.82 (assume @p173 (forall @t137 (or @t138 @t134 @t66 @t124 @t46 @t131))) % 1.61/1.82 (assume @p174 (forall @t41 (or (not (= @t59 @t114)) (not (= @t60 @t103)) @t47 @t66 @t102 @t91 @t58))) % 1.61/1.82 (assume @p175 (forall @t137 (or @t112 (not (= @t117 @t133)) @t66 @t47 @t140 @t124 (tptp.frontsegP @t123 (tptp.cons @t133 @t40))))) % 1.61/1.82 (assume @p176 (forall @t143 (or (not (= (tptp.app @t139 (tptp.cons @t40 @t133)) @t141)) @t134 @t119 @t47 @t80 (not (tptp.duplicatefreeP @t141)) @t142))) % 1.61/1.82 (assume @p177 (forall @t143 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t135)) @t141)) @t134 @t47 @t124 @t80 (not (tptp.equalelemsP @t141)) @t142 @t130))) % 1.61/1.82 (assume @p178 (forall @t148 (or @t147 @t142 @t119 @t47 @t140 @t80 (not (tptp.strictorderedP @t145)) @t146 @t144))) % 1.61/1.82 (assume @p179 (forall @t148 (or @t147 @t142 @t119 @t47 @t140 @t80 (not (tptp.totalorderedP @t145)) @t146 @t149))) % 1.61/1.82 (assume @p180 (forall @t148 (or @t147 @t142 @t119 @t47 @t140 @t80 (not (tptp.strictorderP @t145)) @t146 @t144 (tptp.lt @t133 @t40)))) % 1.61/1.82 (assume @p181 (forall @t148 (or @t147 @t142 @t119 @t47 @t140 @t80 (not (tptp.totalorderP @t145)) @t146 @t149 (tptp.leq @t133 @t40)))) % 1.61/1.82 (assume @p182 (forall @t148 (or @t90 @t113 (not (= (tptp.app (tptp.app @t117 (tptp.cons @t2 @t133)) (tptp.cons @t40 @t141)) @t145)) @t142 @t134 @t119 @t80 @t46 (not (tptp.cyclefreeP @t145)) @t146))) % 1.61/1.82 (assume @p183 @t150) % 1.61/1.82 (assume @p184 (tptp.ssList tptp.sk2)) % 1.61/1.82 (assume @p185 (tptp.ssList tptp.sk3)) % 1.61/1.82 (assume @p186 (tptp.ssList tptp.sk4)) % 1.61/1.82 (assume @p187 (= tptp.sk2 tptp.sk4)) % 1.61/1.82 (assume @p188 (= tptp.sk1 tptp.sk3)) % 1.61/1.82 (assume @p189 (not (= tptp.nil tptp.sk1))) % 1.61/1.82 (assume @p190 @t163) % 1.61/1.82 (assume @p191 @t166) % 1.61/1.82 (assume @p192 (forall @t162 (or @t160 @t159 @t158 @t157 (tptp.memberP @t153 @t154)))) % 1.61/1.82 (assume @p193 (forall @t162 (or @t160 @t159 @t158 @t157 (tptp.lt @t151 @t154)))) % 1.61/1.82 (assume @p194 (forall @t162 (or @t160 @t159 @t158 @t157 (not (tptp.leq @t151 @t154))))) % 1.61/1.82 (assume @p195 (or @t168 @t167)) % 1.61/1.82 (assume @p196 (or @t168 @t169)) % 1.61/1.82 (assume @p197 (or @t171 @t167)) % 1.61/1.82 (assume @p198 (or @t172 @t167)) % 1.61/1.82 (assume @p199 (forall @t176 (or @t160 @t175 @t174 @t173 @t167))) % 1.61/1.82 (assume @p200 @t177) % 1.61/1.82 (assume @p201 (or @t172 @t169)) % 1.61/1.82 (assume @p202 (forall @t176 (or @t160 @t175 @t174 @t173 @t169))) % 1.61/1.82 (step @p203 :rule refl :args (@t164)) % 1.61/1.82 (step @p204 :rule eq-symm :args (@t156 tptp.sk1)) % 1.61/1.82 (step @p205 :rule cong :premises (@p204) :args (@t157)) % 1.61/1.82 (step @p206 :rule refl :args (@t158)) % 1.61/1.82 (step @p207 :rule refl :args (@t159)) % 1.61/1.82 (step @p208 :rule refl :args (@t160)) % 1.61/1.82 (step @p209 :rule nary_cong :premises (@p208 @p207 @p206 @p205 @p203) :args (@t165)) % 1.61/1.82 (step @p210 :rule cong :premises (@p209) :args (@t166)) % 1.61/1.82 (step @p211 :rule eq_resolve :premises (@p191 @p210)) % 1.61/1.82 (step @p212 :rule instantiate :premises (@p211) :args (@t179)) % 1.61/1.82 (step @p213 :rule refl :args (tptp.nil)) % 1.61/1.82 (step @p214 :rule eq-symm :args (@t76 @t2)) % 1.61/1.82 (step @p215 :rule refl :args (@t47)) % 1.61/1.82 (step @p216 :rule refl :args (@t77)) % 1.61/1.82 (step @p217 :rule nary_cong :premises (@p216 @p215 @p214) :args (@t78)) % 1.61/1.82 (step @p218 :rule cong :premises (@p217) :args (@t79)) % 1.61/1.82 (step @p219 :rule eq_resolve :premises (@p99 @p218)) % 1.61/1.82 (step @p220 :rule instantiate :premises (@p219) :args (@t180)) % 1.61/1.82 (step @p221 :rule aci_norm :args ((= (or false @t46 @t182 @t181) (or @t46 @t182 @t181)))) % 1.61/1.82 (step @p222 :rule refl :args (@t181)) % 1.61/1.82 (step @p223 :rule refl :args (@t182)) % 1.61/1.82 (step @p224 :rule refl :args (@t46)) % 1.61/1.82 (step @p225 :rule evaluate :args ((not true))) % 1.61/1.82 (step @p226 :rule eq-refl :args (@t48)) % 1.61/1.82 (step @p227 :rule cong :premises (@p226) :args (@t183)) % 1.61/1.82 (step @p228 :rule trans :premises (@p227 @p225)) % 1.61/1.82 (step @p229 :rule nary_cong :premises (@p228 @p224 @p223 @p222) :args (@t184)) % 1.61/1.82 (step @p230 :rule trans :premises (@p229 @p221)) % 1.61/1.82 (step @p231 :rule cong :premises (@p230) :args ((forall @t4 @t184))) % 1.61/1.82 (step @p232 :rule quant-var-elim-eq :args ((= (forall @t187 @t186) @t184))) % 1.61/1.82 (step @p233 :rule aci_norm :args ((= @t188 @t186))) % 1.61/1.82 (step @p234 :rule cong :premises (@p233) :args (@t189)) % 1.61/1.82 (step @p235 :rule trans :premises (@p234 @p232)) % 1.61/1.82 (step @p236 :rule cong :premises (@p235) :args (@t190)) % 1.61/1.82 (step @p237 :rule quant-merge-prenex :args ((= @t190 (forall @t41 @t188)))) % 1.61/1.82 (step @p238 :rule symm :premises (@p237)) % 1.61/1.82 (step @p239 :rule trans :premises (@p238 @p236)) % 1.61/1.82 (step @p240 :rule trans :premises (@p239 @p231)) % 1.61/1.82 (step @p241 :rule refl :args (@t95)) % 1.61/1.82 (step @p242 :rule refl :args (@t66)) % 1.61/1.82 (step @p243 :rule eq-symm :args (@t48 @t40)) % 1.61/1.82 (step @p244 :rule cong :premises (@p243) :args (@t96)) % 1.61/1.82 (step @p245 :rule nary_cong :premises (@p244 @p224 @p242 @p241) :args (@t97)) % 1.61/1.82 (step @p246 :rule cong :premises (@p245) :args (@t98)) % 1.61/1.82 (step @p247 :rule trans :premises (@p246 @p240)) % 1.61/1.82 (step @p248 :rule eq_resolve :premises (@p114 @p247)) % 1.61/1.82 (step @p249 :rule instantiate :premises (@p248) :args ((@list tptp.sk6))) % 1.61/1.82 (step @p250 :rule true_intro :premises (@p183)) % 1.61/1.82 (step @p251 :rule symm :premises (@p188)) % 1.61/1.82 (step @p252 :rule false_intro :premises (@p189)) % 1.61/1.82 (step @p253 :rule cong :premises (@p213 @p251) :args (@t169)) % 1.61/1.82 (step @p254 :rule trans :premises (@p253 @p252)) % 1.61/1.82 (step @p255 :rule false_elim :premises (@p254)) % 1.61/1.82 (step @p256 :rule refl :args (@t169)) % 1.61/1.82 (step @p257 :rule eq-symm :args (@t170 tptp.sk3)) % 1.61/1.82 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t177)) % 1.61/1.82 (step @p259 :rule eq_resolve :premises (@p200 @p258)) % 1.61/1.82 (step @p260 :rule reordering :premises (@p259) :args ((or @t169 @t191))) % 1.61/1.82 (step @p261 :rule chain_m_resolution :premises (@p260 @p255) :args (@t191 @t192 @t193)) % 1.61/1.82 (step @p262 :rule symm :premises (@p261)) % 1.61/1.82 (step @p263 :rule trans :premises (@p262 @p251)) % 1.61/1.82 (step @p264 :rule cong :premises (@p263) :args (@t194)) % 1.61/1.82 (step @p265 :rule trans :premises (@p264 @p250)) % 1.61/1.82 (step @p266 :rule true_elim :premises (@p265)) % 1.61/1.82 (step @p267 :rule chain_m_resolution :premises (@p196 @p255) :args (@t168 @t192 @t193)) % 1.61/1.82 (step @p268 :rule cnf_or_pos :args (@t198)) % 1.61/1.82 (step @p269 :rule reordering :premises (@p268) :args ((or @t197 @t196 @t195 (not @t198)))) % 1.61/1.82 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p266 @p249) :args (@t195 @t199 (@list @t168 @t194 @t198))) % 1.61/1.82 (step @p271 :rule true_intro :premises (@p270)) % 1.61/1.82 (step @p272 :rule trans :premises (@p188 @p261)) % 1.61/1.82 (step @p273 :rule cong :premises (@p272) :args (@t200)) % 1.61/1.82 (step @p274 :rule trans :premises (@p273 @p271)) % 1.61/1.82 (step @p275 :rule true_elim :premises (@p274)) % 1.61/1.82 (step @p276 :rule cnf_or_pos :args (@t205)) % 1.61/1.82 (step @p277 :rule reordering :premises (@p276) :args ((or @t203 @t204 @t202 (not @t205)))) % 1.61/1.82 (step @p278 :rule chain_m_resolution :premises (@p277 @p183 @p275 @p220) :args (@t202 @t199 (@list @t150 @t200 @t205))) % 1.61/1.82 (step @p279 :rule cong :premises (@p213 @p278) :args (@t206)) % 1.61/1.82 (step @p280 :rule eq-symm :args (@t55 @t2)) % 1.61/1.82 (step @p281 :rule nary_cong :premises (@p215 @p280) :args (@t56)) % 1.61/1.82 (step @p282 :rule cong :premises (@p281) :args (@t57)) % 1.61/1.82 (step @p283 :rule eq_resolve :premises (@p74 @p282)) % 1.61/1.82 (step @p284 :rule instantiate :premises (@p283) :args (@t180)) % 1.61/1.82 (step @p285 :rule cnf_or_pos :args (@t208)) % 1.61/1.82 (step @p286 :rule reordering :premises (@p285) :args ((or @t203 @t207 (not @t208)))) % 1.61/1.82 (step @p287 :rule chain_m_resolution :premises (@p286 @p183 @p284) :args (@t207 @t209 (@list @t150 @t208))) % 1.61/1.82 (step @p288 :rule trans :premises (@p262 @p251 @p287 @p279)) % 1.61/1.82 (step @p289 :rule trans :premises (@p272 @p288)) % 1.61/1.82 (step @p290 :rule cong :premises (@p289 @p213) :args (@t210)) % 1.61/1.82 (step @p291 :rule eq-symm :args (@t52 @t2)) % 1.61/1.82 (step @p292 :rule nary_cong :premises (@p215 @p291) :args (@t53)) % 1.61/1.82 (step @p293 :rule cong :premises (@p292) :args (@t54)) % 1.61/1.82 (step @p294 :rule eq_resolve :premises (@p73 @p293)) % 1.61/1.82 (step @p295 :rule instantiate :premises (@p294) :args (@t180)) % 1.61/1.82 (step @p296 :rule cnf_or_pos :args (@t212)) % 1.61/1.82 (step @p297 :rule reordering :premises (@p296) :args ((or @t203 @t211 (not @t212)))) % 1.61/1.82 (step @p298 :rule chain_m_resolution :premises (@p297 @p183 @p295) :args (@t211 @t209 (@list @t150 @t212))) % 1.61/1.82 (step @p299 :rule trans :premises (@p298 @p290)) % 1.61/1.82 (step @p300 :rule instantiate :premises (@p47) :args (@t180)) % 1.61/1.82 (step @p301 :rule cnf_or_pos :args (@t220)) % 1.61/1.82 (step @p302 :rule factoring :premises (@p301)) % 1.61/1.82 (step @p303 :rule reordering :premises (@p302) :args ((or @t217 @t219 @t216 @t214 (not @t220)))) % 1.61/1.82 (step @p304 :rule chain_m_resolution :premises (@p303 @p8 @p300 @p299 @p212) :args (@t214 @t221 (@list @t1 @t218 @t215 @t220))) % 1.61/1.82 (step @p305 :rule refl :args (@t155)) % 1.61/1.82 (step @p306 :rule nary_cong :premises (@p208 @p207 @p206 @p205 @p305) :args (@t161)) % 1.61/1.82 (step @p307 :rule cong :premises (@p306) :args (@t163)) % 1.61/1.82 (step @p308 :rule eq_resolve :premises (@p190 @p307)) % 1.61/1.82 (step @p309 :rule instantiate :premises (@p308) :args (@t179)) % 1.61/1.82 (step @p310 :rule cnf_or_pos :args (@t223)) % 1.61/1.82 (step @p311 :rule factoring :premises (@p310)) % 1.61/1.82 (step @p312 :rule reordering :premises (@p311) :args ((or @t217 @t219 @t216 @t222 (not @t223)))) % 1.61/1.82 (step @p313 :rule chain_m_resolution :premises (@p312 @p8 @p300 @p299 @p309) :args (@t222 @t221 (@list @t1 @t218 @t215 @t223))) % 1.61/1.82 (step @p314 :rule cnf_or_pos :args (@t226)) % 1.61/1.82 (step @p315 :rule reordering :premises (@p314) :args ((or @t224 @t225 @t227))) % 1.61/1.82 (step @p316 :rule chain_m_resolution :premises (@p315 @p313 @p304) :args (@t227 @t209 (@list @t222 @t214))) % 1.61/1.82 (assume-push @p323 @t49) % 1.61/1.82 (step @p318 :rule instantiate :premises (@p71) :args ((@list @t213))) % 1.61/1.82 (step-pop @p324 :rule scope :premises (@p318)) % 1.61/1.82 (step @p319 :rule process_scope :premises (@p324) :args (@t226)) % 1.61/1.82 (step @p321 :rule implies_elim :premises (@p319)) % 1.61/1.82 (step @p322 false :rule chain_m_resolution :premises (@p321 @p316 @p71) :args (false (@list true false) (@list @t226 @t49))) % 1.61/1.82 ) % 1.61/1.82 % SZS output end Proof % 1.61/1.83 % cvc5 exiting %------------------------------------------------------------------------------