%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC323-1 : 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 : n002.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 08:58:52 AM UTC 2026 % Result : Unsatisfiable 1.33s 1.51s % Output : Proof 1.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC323-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n002.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:41:18 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.33/1.51 % SZS status Unsatisfiable % 1.33/1.51 % SZS output start Proof % 1.33/1.52 ( % 1.33/1.52 (declare-sort $$unsorted 0) % 1.33/1.52 (declare-const tptp.sk6 $$unsorted) % 1.33/1.52 (declare-const tptp.sk5 $$unsorted) % 1.33/1.52 (declare-const tptp.sk4 $$unsorted) % 1.33/1.52 (declare-const tptp.sk2 $$unsorted) % 1.33/1.52 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.nil $$unsorted) % 1.33/1.52 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.sk1 $$unsorted) % 1.33/1.52 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.skac2 $$unsorted) % 1.33/1.52 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.sk3 $$unsorted) % 1.33/1.52 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skac3 $$unsorted) % 1.33/1.52 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (define @t1 () (tptp.ssList tptp.nil)) % 1.33/1.52 (define @t2 () (@var "U" $$unsorted)) % 1.33/1.52 (define @t3 () (tptp.skaf83 @t2)) % 1.33/1.52 (define @t4 () (@list @t2)) % 1.33/1.52 (define @t5 () (tptp.skaf82 @t2)) % 1.33/1.52 (define @t6 () (tptp.skaf81 @t2)) % 1.33/1.52 (define @t7 () (tptp.skaf80 @t2)) % 1.33/1.52 (define @t8 () (tptp.skaf79 @t2)) % 1.33/1.52 (define @t9 () (tptp.skaf78 @t2)) % 1.33/1.52 (define @t10 () (tptp.skaf77 @t2)) % 1.33/1.52 (define @t11 () (tptp.skaf76 @t2)) % 1.33/1.52 (define @t12 () (tptp.skaf75 @t2)) % 1.33/1.52 (define @t13 () (tptp.skaf74 @t2)) % 1.33/1.52 (define @t14 () (tptp.skaf73 @t2)) % 1.33/1.52 (define @t15 () (tptp.skaf72 @t2)) % 1.33/1.52 (define @t16 () (tptp.skaf71 @t2)) % 1.33/1.52 (define @t17 () (tptp.skaf70 @t2)) % 1.33/1.52 (define @t18 () (tptp.skaf69 @t2)) % 1.33/1.52 (define @t19 () (tptp.skaf68 @t2)) % 1.33/1.52 (define @t20 () (tptp.skaf67 @t2)) % 1.33/1.52 (define @t21 () (tptp.skaf66 @t2)) % 1.33/1.52 (define @t22 () (tptp.skaf65 @t2)) % 1.33/1.52 (define @t23 () (tptp.skaf64 @t2)) % 1.33/1.52 (define @t24 () (tptp.skaf63 @t2)) % 1.33/1.52 (define @t25 () (tptp.skaf62 @t2)) % 1.33/1.52 (define @t26 () (tptp.skaf61 @t2)) % 1.33/1.52 (define @t27 () (tptp.skaf60 @t2)) % 1.33/1.52 (define @t28 () (tptp.skaf59 @t2)) % 1.33/1.52 (define @t29 () (tptp.skaf58 @t2)) % 1.33/1.52 (define @t30 () (tptp.skaf57 @t2)) % 1.33/1.52 (define @t31 () (tptp.skaf56 @t2)) % 1.33/1.52 (define @t32 () (tptp.skaf55 @t2)) % 1.33/1.52 (define @t33 () (tptp.skaf54 @t2)) % 1.33/1.52 (define @t34 () (tptp.skaf53 @t2)) % 1.33/1.52 (define @t35 () (tptp.skaf52 @t2)) % 1.33/1.52 (define @t36 () (tptp.skaf51 @t2)) % 1.33/1.52 (define @t37 () (tptp.skaf50 @t2)) % 1.33/1.52 (define @t38 () (tptp.skaf49 @t2)) % 1.33/1.52 (define @t39 () (tptp.skaf44 @t2)) % 1.33/1.52 (define @t40 () (@var "V" $$unsorted)) % 1.33/1.52 (define @t41 () (@list @t2 @t40)) % 1.33/1.52 (define @t42 () (tptp.skaf47 @t2 @t40)) % 1.33/1.52 (define @t43 () (tptp.skaf46 @t2 @t40)) % 1.33/1.52 (define @t44 () (tptp.skaf45 @t2 @t40)) % 1.33/1.52 (define @t45 () (tptp.skaf42 @t2 @t40)) % 1.33/1.52 (define @t46 () (not (tptp.ssItem @t2))) % 1.33/1.52 (define @t47 () (not (tptp.ssList @t2))) % 1.33/1.52 (define @t48 () (tptp.cons @t2 tptp.nil)) % 1.33/1.52 (define @t49 () (tptp.ssItem @t40)) % 1.33/1.52 (define @t50 () (tptp.duplicatefreeP @t2)) % 1.33/1.52 (define @t51 () (= tptp.nil @t2)) % 1.33/1.52 (define @t52 () (tptp.tl @t2)) % 1.33/1.52 (define @t53 () (tptp.hd @t2)) % 1.33/1.52 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 1.33/1.52 (define @t55 () (not @t51)) % 1.33/1.52 (define @t56 () (or @t55 @t47 @t54)) % 1.33/1.52 (define @t57 () (forall @t4 @t56)) % 1.33/1.52 (define @t58 () (tptp.rearsegP tptp.nil @t2)) % 1.33/1.52 (define @t59 () (tptp.frontsegP tptp.nil @t2)) % 1.33/1.52 (define @t60 () (tptp.app @t40 @t2)) % 1.33/1.52 (define @t61 () (not (tptp.ssList @t40))) % 1.33/1.52 (define @t62 () (tptp.cons @t2 @t40)) % 1.33/1.52 (define @t63 () (tptp.cyclefreeP @t2)) % 1.33/1.52 (define @t64 () (tptp.equalelemsP @t2)) % 1.33/1.52 (define @t65 () (tptp.strictorderedP @t2)) % 1.33/1.52 (define @t66 () (tptp.totalorderedP @t2)) % 1.33/1.52 (define @t67 () (tptp.strictorderP @t2)) % 1.33/1.52 (define @t68 () (tptp.totalorderP @t2)) % 1.33/1.52 (define @t69 () (not (= @t62 tptp.nil))) % 1.33/1.52 (define @t70 () (or @t69 @t46 @t61)) % 1.33/1.52 (define @t71 () (forall @t41 @t70)) % 1.33/1.52 (define @t72 () (= @t40 @t2)) % 1.33/1.52 (define @t73 () (tptp.neq @t40 @t2)) % 1.33/1.52 (define @t74 () (or @t47 @t61 @t73 @t72)) % 1.33/1.52 (define @t75 () (forall @t41 @t74)) % 1.33/1.52 (define @t76 () (not @t49)) % 1.33/1.52 (define @t77 () (tptp.leq @t2 @t40)) % 1.33/1.52 (define @t78 () (tptp.lt @t2 @t40)) % 1.33/1.52 (define @t79 () (not @t78)) % 1.33/1.52 (define @t80 () (tptp.lt @t40 @t2)) % 1.33/1.52 (define @t81 () (not (tptp.gt @t2 @t40))) % 1.33/1.52 (define @t82 () (tptp.gt @t40 @t2)) % 1.33/1.52 (define @t83 () (tptp.leq @t40 @t2)) % 1.33/1.52 (define @t84 () (not (tptp.geq @t2 @t40))) % 1.33/1.52 (define @t85 () (tptp.geq @t40 @t2)) % 1.33/1.52 (define @t86 () (not @t77)) % 1.33/1.52 (define @t87 () (= @t2 @t40)) % 1.33/1.52 (define @t88 () (not @t87)) % 1.33/1.52 (define @t89 () (tptp.cons @t40 @t2)) % 1.33/1.52 (define @t90 () (not (tptp.neq @t2 @t40))) % 1.33/1.52 (define @t91 () (tptp.app @t2 @t40)) % 1.33/1.52 (define @t92 () (= @t91 tptp.nil)) % 1.33/1.52 (define @t93 () (not @t92)) % 1.33/1.52 (define @t94 () (or @t93 @t61 @t47 @t51)) % 1.33/1.52 (define @t95 () (forall @t41 @t94)) % 1.33/1.52 (define @t96 () (= tptp.nil @t40)) % 1.33/1.52 (define @t97 () (or @t93 @t61 @t47 @t96)) % 1.33/1.52 (define @t98 () (forall @t41 @t97)) % 1.33/1.52 (define @t99 () (tptp.hd @t40)) % 1.33/1.52 (define @t100 () (tptp.strictorderedP @t40)) % 1.33/1.52 (define @t101 () (tptp.strictorderedP @t62)) % 1.33/1.52 (define @t102 () (not @t101)) % 1.33/1.52 (define @t103 () (tptp.totalorderedP @t40)) % 1.33/1.52 (define @t104 () (tptp.totalorderedP @t62)) % 1.33/1.52 (define @t105 () (not @t104)) % 1.33/1.52 (define @t106 () (not (tptp.segmentP @t2 @t40))) % 1.33/1.52 (define @t107 () (not (tptp.rearsegP @t2 @t40))) % 1.33/1.52 (define @t108 () (not (tptp.frontsegP @t2 @t40))) % 1.33/1.52 (define @t109 () (not @t83)) % 1.33/1.52 (define @t110 () (tptp.tl @t40)) % 1.33/1.52 (define @t111 () (tptp.lt @t2 @t99)) % 1.33/1.52 (define @t112 () (tptp.leq @t2 @t99)) % 1.33/1.52 (define @t113 () (@var "W" $$unsorted)) % 1.33/1.52 (define @t114 () (tptp.app @t113 @t2)) % 1.33/1.52 (define @t115 () (not (tptp.ssList @t113))) % 1.33/1.52 (define @t116 () (@list @t2 @t40 @t113)) % 1.33/1.52 (define @t117 () (tptp.app @t2 @t113)) % 1.33/1.52 (define @t118 () (tptp.cons @t40 @t113)) % 1.33/1.52 (define @t119 () (tptp.cons @t113 @t2)) % 1.33/1.52 (define @t120 () (not (tptp.ssItem @t113))) % 1.33/1.52 (define @t121 () (not (tptp.memberP @t2 @t40))) % 1.33/1.52 (define @t122 () (not (= @t91 @t113))) % 1.33/1.52 (define @t123 () (not @t96)) % 1.33/1.52 (define @t124 () (or @t55 @t123 @t61 @t47 @t92)) % 1.33/1.52 (define @t125 () (forall @t41 @t124)) % 1.33/1.52 (define @t126 () (tptp.lt @t2 @t113)) % 1.33/1.52 (define @t127 () (not (tptp.lt @t40 @t113))) % 1.33/1.52 (define @t128 () (tptp.app @t113 @t40)) % 1.33/1.52 (define @t129 () (= @t40 @t113)) % 1.33/1.52 (define @t130 () (= @t2 @t113)) % 1.33/1.52 (define @t131 () (tptp.memberP @t40 @t113)) % 1.33/1.52 (define @t132 () (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2))) % 1.33/1.52 (define @t133 () (or @t106 @t61 @t47 (= @t132 @t2))) % 1.33/1.52 (define @t134 () (forall @t41 @t133)) % 1.33/1.52 (define @t135 () (@var "X" $$unsorted)) % 1.33/1.52 (define @t136 () (not (tptp.ssList @t135))) % 1.33/1.52 (define @t137 () (tptp.cons @t113 @t135)) % 1.33/1.52 (define @t138 () (not (= @t62 @t137))) % 1.33/1.52 (define @t139 () (@list @t2 @t40 @t113 @t135)) % 1.33/1.52 (define @t140 () (not (tptp.frontsegP @t62 @t137))) % 1.33/1.52 (define @t141 () (tptp.app @t2 @t118)) % 1.33/1.52 (define @t142 () (not (tptp.ssItem @t135))) % 1.33/1.52 (define @t143 () (@var "Y" $$unsorted)) % 1.33/1.52 (define @t144 () (not (tptp.ssList @t143))) % 1.33/1.52 (define @t145 () (@list @t2 @t40 @t113 @t135 @t143)) % 1.33/1.52 (define @t146 () (tptp.lt @t40 @t135)) % 1.33/1.52 (define @t147 () (@var "Z" $$unsorted)) % 1.33/1.52 (define @t148 () (not (tptp.ssList @t147))) % 1.33/1.52 (define @t149 () (not (= (tptp.app @t141 (tptp.cons @t135 @t143)) @t147))) % 1.33/1.52 (define @t150 () (@list @t2 @t40 @t113 @t135 @t143 @t147)) % 1.33/1.52 (define @t151 () (tptp.leq @t40 @t135)) % 1.33/1.52 (define @t152 () (tptp.ssList tptp.sk4)) % 1.33/1.52 (define @t153 () (= tptp.sk2 tptp.sk4)) % 1.33/1.52 (define @t154 () (= tptp.sk1 tptp.sk3)) % 1.33/1.52 (define @t155 () (@var "A" $$unsorted)) % 1.33/1.52 (define @t156 () (@var "B" $$unsorted)) % 1.33/1.52 (define @t157 () (tptp.app @t156 @t155)) % 1.33/1.52 (define @t158 () (not (= @t157 tptp.sk1))) % 1.33/1.52 (define @t159 () (tptp.app @t155 @t156)) % 1.33/1.52 (define @t160 () (not (= @t159 tptp.sk2))) % 1.33/1.52 (define @t161 () (not (tptp.ssList @t156))) % 1.33/1.52 (define @t162 () (not (tptp.ssList @t155))) % 1.33/1.52 (define @t163 () (or @t162 @t161 @t160 @t158)) % 1.33/1.52 (define @t164 () (forall (@list @t155 @t156) @t163)) % 1.33/1.52 (define @t165 () (= tptp.nil tptp.sk4)) % 1.33/1.52 (define @t166 () (not @t165)) % 1.33/1.52 (define @t167 () (= tptp.nil tptp.sk3)) % 1.33/1.52 (define @t168 () (tptp.neq tptp.sk4 tptp.nil)) % 1.33/1.52 (define @t169 () (not @t168)) % 1.33/1.52 (define @t170 () (tptp.ssItem tptp.sk5)) % 1.33/1.52 (define @t171 () (tptp.ssList tptp.sk6)) % 1.33/1.52 (define @t172 () (tptp.cons tptp.sk5 tptp.nil)) % 1.33/1.52 (define @t173 () (tptp.app @t172 tptp.sk6)) % 1.33/1.52 (define @t174 () (or (= @t173 tptp.sk4) @t169)) % 1.33/1.52 (define @t175 () (tptp.app tptp.sk6 @t172)) % 1.33/1.52 (define @t176 () (or (= @t175 tptp.sk3) @t169)) % 1.33/1.52 (define @t177 () (@list tptp.nil tptp.nil)) % 1.33/1.52 (define @t178 () (tptp.app tptp.nil tptp.nil)) % 1.33/1.52 (define @t179 () (= tptp.nil @t178)) % 1.33/1.52 (define @t180 () (not @t1)) % 1.33/1.52 (define @t181 () (or @t180 @t179)) % 1.33/1.52 (define @t182 () (not (= tptp.nil tptp.nil))) % 1.33/1.52 (define @t183 () (or @t182 @t180 @t179)) % 1.33/1.52 (define @t184 () (= tptp.nil (tptp.app tptp.nil @t40))) % 1.33/1.52 (define @t185 () (@list @t40)) % 1.33/1.52 (define @t186 () (or @t123 @t123 @t61 @t184)) % 1.33/1.52 (define @t187 () (or @t123 @t61 @t184)) % 1.33/1.52 (define @t188 () (forall @t185 @t187)) % 1.33/1.52 (define @t189 () (or @t180 @t188)) % 1.33/1.52 (define @t190 () (or @t180 @t187)) % 1.33/1.52 (define @t191 () (or @t123 @t61 @t180 @t184)) % 1.33/1.52 (define @t192 () (or @t182 @t123 @t61 @t180 @t184)) % 1.33/1.52 (define @t193 () (= tptp.nil @t91)) % 1.33/1.52 (define @t194 () (not (= @t2 tptp.nil))) % 1.33/1.52 (define @t195 () (or @t55 @t55 @t123 @t61 @t47 @t193)) % 1.33/1.52 (define @t196 () (or @t55 @t123 @t61 @t47 @t193)) % 1.33/1.52 (define @t197 () (forall @t4 @t196)) % 1.33/1.52 (define @t198 () (forall @t185 @t197)) % 1.33/1.52 (define @t199 () (forall (@list @t40 @t2) @t196)) % 1.33/1.52 (define @t200 () (@list false)) % 1.33/1.52 (define @t201 () (@list @t1)) % 1.33/1.52 (define @t202 () (@list tptp.sk5 tptp.nil)) % 1.33/1.52 (define @t203 () (tptp.ssList @t172)) % 1.33/1.52 (define @t204 () (not @t170)) % 1.33/1.52 (define @t205 () (or @t204 @t180 @t203)) % 1.33/1.52 (define @t206 () (= tptp.nil @t172)) % 1.33/1.52 (define @t207 () (not @t206)) % 1.33/1.52 (define @t208 () (or @t207 @t204 @t180)) % 1.33/1.52 (define @t209 () (tptp.skaf47 tptp.nil tptp.nil)) % 1.33/1.52 (define @t210 () (tptp.app @t209 tptp.nil)) % 1.33/1.52 (define @t211 () (tptp.ssList @t210)) % 1.33/1.52 (define @t212 () (tptp.ssList @t209)) % 1.33/1.52 (define @t213 () (not @t212)) % 1.33/1.52 (define @t214 () (or @t180 @t213 @t211)) % 1.33/1.52 (define @t215 () (@list false false false)) % 1.33/1.52 (define @t216 () (tptp.skaf48 tptp.nil tptp.nil)) % 1.33/1.52 (define @t217 () (tptp.app @t210 @t216)) % 1.33/1.52 (define @t218 () (= tptp.sk1 @t217)) % 1.33/1.52 (define @t219 () (not @t218)) % 1.33/1.52 (define @t220 () (tptp.app @t216 @t210)) % 1.33/1.52 (define @t221 () (= tptp.sk2 @t220)) % 1.33/1.52 (define @t222 () (not @t221)) % 1.33/1.52 (define @t223 () (not @t211)) % 1.33/1.52 (define @t224 () (tptp.ssList @t216)) % 1.33/1.52 (define @t225 () (not @t224)) % 1.33/1.52 (define @t226 () (or @t225 @t223 @t222 @t219)) % 1.33/1.52 (define @t227 () (tptp.segmentP tptp.nil tptp.nil)) % 1.33/1.52 (define @t228 () (or @t182 @t180 @t227)) % 1.33/1.52 (define @t229 () (or @t55 @t55 @t47 @t54)) % 1.33/1.52 (define @t230 () (= tptp.nil @t217)) % 1.33/1.52 (define @t231 () (not @t227)) % 1.33/1.52 (define @t232 () (or @t231 @t180 @t180 @t230)) % 1.33/1.52 (define @t233 () (@list @t210 @t216)) % 1.33/1.52 (define @t234 () (= tptp.nil @t210)) % 1.33/1.52 (define @t235 () (not @t230)) % 1.33/1.52 (define @t236 () (or @t235 @t225 @t223 @t234)) % 1.33/1.52 (define @t237 () (@list false false false false)) % 1.33/1.52 (define @t238 () (= tptp.nil @t216)) % 1.33/1.52 (define @t239 () (or @t235 @t225 @t223 @t238)) % 1.33/1.52 (define @t240 () (not @t238)) % 1.33/1.52 (define @t241 () (not @t234)) % 1.33/1.52 (define @t242 () (not @t179)) % 1.33/1.52 (define @t243 () (not @t153)) % 1.33/1.52 (define @t244 () (= tptp.sk1 @t220)) % 1.33/1.52 (define @t245 () (= false true)) % 1.33/1.52 (define @t246 () (and @t179 @t165 @t153 @t230 @t218 @t244 @t222)) % 1.33/1.52 (define @t247 () (not @t152)) % 1.33/1.52 (define @t248 () (or @t180 @t247 @t168 @t165)) % 1.33/1.52 (define @t249 () (= tptp.sk3 @t175)) % 1.33/1.52 (define @t250 () (not @t171)) % 1.33/1.52 (define @t251 () (not @t203)) % 1.33/1.52 (define @t252 () (= tptp.nil @t175)) % 1.33/1.52 (define @t253 () (not @t252)) % 1.33/1.52 (define @t254 () (or @t253 @t251 @t250 @t206)) % 1.33/1.52 (define @t255 () (and @t154 @t249 @t230 @t218)) % 1.33/1.52 (define @t256 () (not @t167)) % 1.33/1.52 (define @t257 () (not @t154)) % 1.33/1.52 (define @t258 () (and @t179 @t167 @t154 @t230 @t219)) % 1.33/1.52 (define @t259 () (= tptp.sk1 @t175)) % 1.33/1.52 (define @t260 () (and @t154 @t249)) % 1.33/1.52 (define @t261 () (not @t249)) % 1.33/1.52 (define @t262 () (and @t249 @t253)) % 1.33/1.52 (define @t263 () (= tptp.sk4 @t173)) % 1.33/1.52 (define @t264 () (not @t259)) % 1.33/1.52 (define @t265 () (= tptp.sk2 @t173)) % 1.33/1.52 (define @t266 () (not @t265)) % 1.33/1.52 (define @t267 () (or @t251 @t250 @t266 @t264)) % 1.33/1.52 (define @t268 () (and @t153 @t263)) % 1.33/1.52 (define @t269 () (= tptp.sk2 @t178)) % 1.33/1.52 (define @t270 () (and @t153 @t165 @t179)) % 1.33/1.52 (define @t271 () (= tptp.sk1 @t178)) % 1.33/1.52 (define @t272 () (and @t154 @t167 @t179)) % 1.33/1.52 (define @t273 () (not @t271)) % 1.33/1.52 (define @t274 () (not @t269)) % 1.33/1.52 (define @t275 () (or @t180 @t180 @t274 @t273)) % 1.33/1.52 (assume @p1 (tptp.equalelemsP tptp.nil)) % 1.33/1.52 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 1.33/1.52 (assume @p3 (tptp.strictorderedP tptp.nil)) % 1.33/1.52 (assume @p4 (tptp.totalorderedP tptp.nil)) % 1.33/1.52 (assume @p5 (tptp.strictorderP tptp.nil)) % 1.33/1.52 (assume @p6 (tptp.totalorderP tptp.nil)) % 1.33/1.52 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 1.33/1.52 (assume @p8 @t1) % 1.33/1.52 (assume @p9 (tptp.ssItem tptp.skac3)) % 1.33/1.52 (assume @p10 (tptp.ssItem tptp.skac2)) % 1.33/1.52 (assume @p11 (not (tptp.singletonP tptp.nil))) % 1.33/1.52 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 1.33/1.52 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 1.33/1.52 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 1.33/1.52 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 1.33/1.52 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 1.33/1.52 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 1.33/1.52 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 1.33/1.52 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 1.33/1.52 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 1.33/1.52 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 1.33/1.52 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 1.33/1.52 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 1.33/1.52 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 1.33/1.52 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 1.33/1.52 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 1.33/1.52 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 1.33/1.52 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 1.33/1.52 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 1.33/1.52 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 1.33/1.52 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 1.33/1.52 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 1.33/1.52 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 1.33/1.52 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 1.33/1.52 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 1.33/1.52 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 1.33/1.52 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 1.33/1.52 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 1.33/1.52 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 1.33/1.52 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 1.33/1.52 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 1.33/1.52 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 1.33/1.52 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 1.33/1.52 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 1.33/1.52 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 1.33/1.52 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 1.33/1.52 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 1.33/1.52 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 1.33/1.52 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 1.33/1.52 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 1.33/1.52 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 1.33/1.52 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 1.33/1.52 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 1.33/1.52 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 1.33/1.52 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 1.33/1.52 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 1.33/1.52 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 1.33/1.52 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 1.33/1.52 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 1.33/1.52 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 1.33/1.52 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 1.33/1.52 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 1.33/1.52 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 1.33/1.52 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 1.33/1.52 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 1.33/1.52 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 1.33/1.52 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 1.33/1.52 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 1.33/1.52 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 1.33/1.52 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 1.33/1.52 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 1.33/1.52 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 1.33/1.52 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.33/1.52 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 1.33/1.52 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 1.33/1.52 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 1.33/1.52 (assume @p77 @t57) % 1.33/1.52 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 1.33/1.52 (assume @p79 (forall @t4 (or @t55 @t47 @t58))) % 1.33/1.52 (assume @p80 (forall @t4 (or (not @t58) @t47 @t51))) % 1.33/1.52 (assume @p81 (forall @t4 (or @t55 @t47 @t59))) % 1.33/1.52 (assume @p82 (forall @t4 (or (not @t59) @t47 @t51))) % 1.33/1.52 (assume @p83 (forall @t41 (or @t47 @t61 (tptp.ssList @t60)))) % 1.33/1.52 (assume @p84 (forall @t41 (or @t46 @t61 (tptp.ssList @t62)))) % 1.33/1.52 (assume @p85 (forall @t4 (or @t47 @t63 (tptp.leq @t37 @t38)))) % 1.33/1.52 (assume @p86 (forall @t4 (or @t47 @t63 (tptp.leq @t38 @t37)))) % 1.33/1.52 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t64))) % 1.33/1.52 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t65))) % 1.33/1.52 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t66))) % 1.33/1.52 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t67))) % 1.33/1.52 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t67))) % 1.33/1.52 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t68))) % 1.33/1.52 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t68))) % 1.33/1.52 (assume @p94 (forall @t41 (or @t46 @t61 (= (tptp.tl @t62) @t40)))) % 1.33/1.52 (assume @p95 (forall @t41 (or @t46 @t61 (= (tptp.hd @t62) @t2)))) % 1.33/1.52 (assume @p96 @t71) % 1.33/1.52 (assume @p97 (forall @t41 (or (not (= @t62 @t40)) @t46 @t61))) % 1.33/1.52 (assume @p98 @t75) % 1.33/1.52 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 1.33/1.52 (assume @p100 (forall @t41 (or @t46 @t76 @t73 @t72))) % 1.33/1.52 (assume @p101 (forall @t41 (or @t79 @t76 @t46 @t77))) % 1.33/1.52 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 1.33/1.52 (assume @p103 (forall @t41 (or @t81 @t76 @t46 @t80))) % 1.33/1.52 (assume @p104 (forall @t41 (or @t79 @t46 @t76 @t82))) % 1.33/1.52 (assume @p105 (forall @t41 (or @t84 @t76 @t46 @t83))) % 1.33/1.52 (assume @p106 (forall @t41 (or @t86 @t46 @t76 @t85))) % 1.33/1.52 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 1.33/1.52 (assume @p108 (forall @t41 (or @t81 (not @t82) @t46 @t76))) % 1.33/1.52 (assume @p109 (forall @t41 (or @t88 @t79 @t76 @t46))) % 1.33/1.52 (assume @p110 (forall @t41 (or @t55 @t47 @t76 (tptp.strictorderedP @t89)))) % 1.33/1.52 (assume @p111 (forall @t41 (or @t55 @t47 @t76 (tptp.totalorderedP @t89)))) % 1.33/1.52 (assume @p112 (forall @t41 (or @t79 (not @t80) @t46 @t76))) % 1.33/1.52 (assume @p113 (forall @t41 (or @t88 @t90 @t61 @t47))) % 1.33/1.52 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t61 (tptp.singletonP @t40)))) % 1.33/1.52 (assume @p115 (forall @t41 (or @t88 @t90 @t76 @t46))) % 1.33/1.52 (assume @p116 @t95) % 1.33/1.52 (assume @p117 @t98) % 1.33/1.52 (assume @p118 (forall @t41 (or @t46 @t61 (= (tptp.app @t48 @t40) @t62)))) % 1.33/1.52 (assume @p119 (forall @t41 (or @t86 @t76 @t46 @t78 @t87))) % 1.33/1.52 (assume @p120 (forall @t41 (or @t47 @t61 @t96 (= (tptp.hd @t60) @t99)))) % 1.33/1.52 (assume @p121 (forall @t41 (or @t102 @t61 @t46 @t100 @t96))) % 1.33/1.52 (assume @p122 (forall @t41 (or @t105 @t61 @t46 @t103 @t96))) % 1.33/1.52 (assume @p123 (forall @t41 (or @t84 (not @t85) @t46 @t76 @t72))) % 1.33/1.52 (assume @p124 (forall @t41 (or @t106 (not (tptp.segmentP @t40 @t2)) @t47 @t61 @t72))) % 1.33/1.52 (assume @p125 (forall @t41 (or @t107 (not (tptp.rearsegP @t40 @t2)) @t47 @t61 @t72))) % 1.33/1.52 (assume @p126 (forall @t41 (or @t108 (not (tptp.frontsegP @t40 @t2)) @t47 @t61 @t72))) % 1.33/1.52 (assume @p127 (forall @t41 (or @t86 @t109 @t46 @t76 @t72))) % 1.33/1.52 (assume @p128 (forall @t41 (or @t107 @t61 @t47 (= (tptp.app @t43 @t40) @t2)))) % 1.33/1.52 (assume @p129 (forall @t41 (or @t108 @t61 @t47 (= (tptp.app @t40 @t44) @t2)))) % 1.33/1.52 (assume @p130 (forall @t41 (or @t47 @t61 @t96 (= (tptp.tl @t60) (tptp.app @t110 @t2))))) % 1.33/1.52 (assume @p131 (forall @t41 (or @t102 @t61 @t46 @t111 @t96))) % 1.33/1.52 (assume @p132 (forall @t41 (or @t105 @t61 @t46 @t112 @t96))) % 1.33/1.52 (assume @p133 (forall @t116 (or @t107 @t115 @t61 @t47 (tptp.rearsegP @t114 @t40)))) % 1.33/1.52 (assume @p134 (forall @t116 (or @t108 @t115 @t61 @t47 (tptp.frontsegP @t117 @t40)))) % 1.33/1.52 (assume @p135 (forall @t116 (or @t88 @t115 @t76 @t46 (tptp.memberP @t118 @t2)))) % 1.33/1.52 (assume @p136 (forall @t116 (or @t121 @t47 @t120 @t76 (tptp.memberP @t119 @t40)))) % 1.33/1.52 (assume @p137 (forall @t116 (or @t121 @t115 @t47 @t76 (tptp.memberP @t117 @t40)))) % 1.33/1.52 (assume @p138 (forall @t116 (or @t121 @t47 @t115 @t76 (tptp.memberP @t114 @t40)))) % 1.33/1.52 (assume @p139 (forall @t4 (or @t47 @t64 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 1.33/1.52 (assume @p140 (forall @t116 (or @t122 @t47 @t61 @t115 (tptp.rearsegP @t113 @t40)))) % 1.33/1.52 (assume @p141 (forall @t116 (or @t122 @t61 @t47 @t115 (tptp.frontsegP @t113 @t2)))) % 1.33/1.52 (assume @p142 @t125) % 1.33/1.52 (assume @p143 (forall @t116 (or @t81 (not (tptp.gt @t40 @t113)) @t120 @t76 @t46 (tptp.gt @t2 @t113)))) % 1.33/1.52 (assume @p144 (forall @t116 (or @t86 @t127 @t120 @t76 @t46 @t126))) % 1.33/1.52 (assume @p145 (forall @t116 (or @t84 (not (tptp.geq @t40 @t113)) @t120 @t76 @t46 (tptp.geq @t2 @t113)))) % 1.33/1.52 (assume @p146 (forall @t116 (or @t47 @t61 @t115 (= (tptp.app @t128 @t2) (tptp.app @t113 @t60))))) % 1.33/1.52 (assume @p147 (forall @t116 (or (not (= @t91 @t117)) @t61 @t47 @t115 @t129))) % 1.33/1.52 (assume @p148 (forall @t116 (or (not (= @t91 @t128)) @t47 @t61 @t115 @t130))) % 1.33/1.52 (assume @p149 (forall @t116 (or @t106 (not (tptp.segmentP @t40 @t113)) @t115 @t61 @t47 (tptp.segmentP @t2 @t113)))) % 1.33/1.52 (assume @p150 (forall @t116 (or @t107 (not (tptp.rearsegP @t40 @t113)) @t115 @t61 @t47 (tptp.rearsegP @t2 @t113)))) % 1.33/1.52 (assume @p151 (forall @t116 (or @t108 (not (tptp.frontsegP @t40 @t113)) @t115 @t61 @t47 (tptp.frontsegP @t2 @t113)))) % 1.33/1.52 (assume @p152 (forall @t116 (or @t79 @t127 @t120 @t76 @t46 @t126))) % 1.33/1.52 (assume @p153 (forall @t116 (or @t86 (not (tptp.leq @t40 @t113)) @t120 @t76 @t46 (tptp.leq @t2 @t113)))) % 1.33/1.52 (assume @p154 (forall @t116 (or @t46 @t61 @t115 (= (tptp.cons @t2 (tptp.app @t40 @t113)) (tptp.app @t62 @t113))))) % 1.33/1.52 (assume @p155 (forall @t116 (or (not (tptp.memberP @t91 @t113)) @t61 @t47 @t120 @t131 (tptp.memberP @t2 @t113)))) % 1.33/1.52 (assume @p156 (forall @t41 (or (not @t112) (not @t103) @t61 @t46 @t104 @t96))) % 1.33/1.52 (assume @p157 (forall @t41 (or (not @t111) (not @t100) @t61 @t46 @t101 @t96))) % 1.33/1.52 (assume @p158 (forall @t116 (or (not (tptp.memberP @t62 @t113)) @t61 @t46 @t120 @t131 (= @t113 @t2)))) % 1.33/1.52 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 1.33/1.52 (assume @p160 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 1.33/1.53 (assume @p161 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 1.33/1.53 (assume @p162 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 1.33/1.53 (assume @p163 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 1.33/1.53 (assume @p164 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 1.33/1.53 (assume @p165 @t134) % 1.33/1.53 (assume @p166 (forall @t41 (or @t121 @t76 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 1.33/1.53 (assume @p167 (forall @t139 (or @t138 @t120 @t46 @t136 @t61 @t130))) % 1.33/1.53 (assume @p168 (forall @t139 (or @t138 @t120 @t46 @t136 @t61 (= @t135 @t40)))) % 1.33/1.53 (assume @p169 (forall @t139 (or @t106 @t115 @t136 @t61 @t47 (tptp.segmentP (tptp.app (tptp.app @t135 @t2) @t113) @t40)))) % 1.33/1.53 (assume @p170 (forall @t139 (or (not (= (tptp.app @t91 @t113) @t135)) @t115 @t47 @t61 @t136 (tptp.segmentP @t135 @t40)))) % 1.33/1.53 (assume @p171 (forall @t139 (or @t140 @t136 @t61 @t120 @t46 (tptp.frontsegP @t40 @t135)))) % 1.33/1.53 (assume @p172 (forall @t139 (or (not (= @t141 @t135)) @t115 @t47 @t76 @t136 (tptp.memberP @t135 @t40)))) % 1.33/1.53 (assume @p173 (forall @t139 (or @t140 @t136 @t61 @t120 @t46 @t130))) % 1.33/1.53 (assume @p174 (forall @t41 (or (not (= @t52 @t110)) (not (= @t53 @t99)) @t47 @t61 @t96 @t87 @t51))) % 1.33/1.53 (assume @p175 (forall @t139 (or @t108 (not (= @t113 @t135)) @t61 @t47 @t142 @t120 (tptp.frontsegP @t119 (tptp.cons @t135 @t40))))) % 1.33/1.53 (assume @p176 (forall @t145 (or (not (= (tptp.app @t141 (tptp.cons @t40 @t135)) @t143)) @t136 @t115 @t47 @t76 (not (tptp.duplicatefreeP @t143)) @t144))) % 1.33/1.53 (assume @p177 (forall @t145 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t137)) @t143)) @t136 @t47 @t120 @t76 (not (tptp.equalelemsP @t143)) @t144 @t129))) % 1.33/1.53 (assume @p178 (forall @t150 (or @t149 @t144 @t115 @t47 @t142 @t76 (not (tptp.strictorderedP @t147)) @t148 @t146))) % 1.33/1.53 (assume @p179 (forall @t150 (or @t149 @t144 @t115 @t47 @t142 @t76 (not (tptp.totalorderedP @t147)) @t148 @t151))) % 1.33/1.53 (assume @p180 (forall @t150 (or @t149 @t144 @t115 @t47 @t142 @t76 (not (tptp.strictorderP @t147)) @t148 @t146 (tptp.lt @t135 @t40)))) % 1.33/1.53 (assume @p181 (forall @t150 (or @t149 @t144 @t115 @t47 @t142 @t76 (not (tptp.totalorderP @t147)) @t148 @t151 (tptp.leq @t135 @t40)))) % 1.33/1.53 (assume @p182 (forall @t150 (or @t86 @t109 (not (= (tptp.app (tptp.app @t113 (tptp.cons @t2 @t135)) (tptp.cons @t40 @t143)) @t147)) @t144 @t136 @t115 @t76 @t46 (not (tptp.cyclefreeP @t147)) @t148))) % 1.33/1.53 (assume @p183 (tptp.ssList tptp.sk1)) % 1.33/1.53 (assume @p184 (tptp.ssList tptp.sk2)) % 1.33/1.53 (assume @p185 (tptp.ssList tptp.sk3)) % 1.33/1.53 (assume @p186 @t152) % 1.33/1.53 (assume @p187 @t153) % 1.33/1.53 (assume @p188 @t154) % 1.33/1.53 (assume @p189 @t164) % 1.33/1.53 (assume @p190 (or @t167 @t166)) % 1.33/1.53 (assume @p191 (or @t170 @t169)) % 1.33/1.53 (assume @p192 (or @t171 @t169)) % 1.33/1.53 (assume @p193 @t174) % 1.33/1.53 (assume @p194 @t176) % 1.33/1.53 (step @p195 :rule eq-symm :args (@t157 tptp.sk1)) % 1.33/1.53 (step @p196 :rule cong :premises (@p195) :args (@t158)) % 1.33/1.53 (step @p197 :rule eq-symm :args (@t159 tptp.sk2)) % 1.33/1.53 (step @p198 :rule cong :premises (@p197) :args (@t160)) % 1.33/1.53 (step @p199 :rule refl :args (@t161)) % 1.33/1.53 (step @p200 :rule refl :args (@t162)) % 1.33/1.53 (step @p201 :rule nary_cong :premises (@p200 @p199 @p198 @p196) :args (@t163)) % 1.33/1.53 (step @p202 :rule cong :premises (@p201) :args (@t164)) % 1.33/1.53 (step @p203 :rule eq_resolve :premises (@p189 @p202)) % 1.33/1.53 (step @p204 :rule instantiate :premises (@p203) :args (@t177)) % 1.33/1.53 (step @p205 :rule aci_norm :args ((= (or @t180 @t181) @t181))) % 1.33/1.53 (step @p206 :rule aci_norm :args ((= (or false @t180 @t179) @t181))) % 1.33/1.53 (step @p207 :rule refl :args (@t179)) % 1.33/1.53 (step @p208 :rule refl :args (@t180)) % 1.33/1.53 (step @p209 :rule evaluate :args ((not true))) % 1.33/1.53 (step @p210 :rule eq-refl :args (tptp.nil)) % 1.33/1.53 (step @p211 :rule cong :premises (@p210) :args (@t182)) % 1.33/1.53 (step @p212 :rule trans :premises (@p211 @p209)) % 1.33/1.53 (step @p213 :rule nary_cong :premises (@p212 @p208 @p207) :args (@t183)) % 1.33/1.53 (step @p214 :rule trans :premises (@p213 @p206)) % 1.33/1.53 (step @p215 :rule quant-var-elim-eq :args ((= (forall @t185 (or (not (= @t40 tptp.nil)) @t123 @t61 @t184)) @t183))) % 1.33/1.53 (step @p216 :rule refl :args (@t184)) % 1.33/1.53 (step @p217 :rule refl :args (@t61)) % 1.33/1.53 (step @p218 :rule refl :args (@t123)) % 1.33/1.53 (step @p219 :rule eq-symm :args (tptp.nil @t40)) % 1.33/1.53 (step @p220 :rule cong :premises (@p219) :args (@t123)) % 1.33/1.53 (step @p221 :rule nary_cong :premises (@p220 @p218 @p217 @p216) :args (@t186)) % 1.33/1.53 (step @p222 :rule aci_norm :args ((= @t187 @t186))) % 1.33/1.53 (step @p223 :rule trans :premises (@p222 @p221)) % 1.33/1.53 (step @p224 :rule cong :premises (@p223) :args (@t188)) % 1.33/1.53 (step @p225 :rule trans :premises (@p224 @p215)) % 1.33/1.53 (step @p226 :rule trans :premises (@p225 @p214)) % 1.33/1.53 (step @p227 :rule nary_cong :premises (@p208 @p226) :args (@t189)) % 1.33/1.53 (step @p228 :rule trans :premises (@p227 @p205)) % 1.33/1.53 (step @p229 :rule quant-miniscope-or :args ((= (forall @t185 @t190) @t189))) % 1.33/1.53 (step @p230 :rule aci_norm :args ((= @t191 @t190))) % 1.33/1.53 (step @p231 :rule cong :premises (@p230) :args ((forall @t185 @t191))) % 1.33/1.53 (step @p232 :rule trans :premises (@p231 @p229)) % 1.33/1.53 (step @p233 :rule trans :premises (@p232 @p228)) % 1.33/1.53 (step @p234 :rule aci_norm :args ((= (or false @t123 @t61 @t180 @t184) @t191))) % 1.33/1.53 (step @p235 :rule refl :args (@t184)) % 1.33/1.53 (step @p236 :rule refl :args (@t61)) % 1.33/1.53 (step @p237 :rule refl :args (@t123)) % 1.33/1.53 (step @p238 :rule nary_cong :premises (@p212 @p237 @p236 @p208 @p235) :args (@t192)) % 1.33/1.53 (step @p239 :rule trans :premises (@p238 @p234)) % 1.33/1.53 (step @p240 :rule cong :premises (@p239) :args ((forall @t185 @t192))) % 1.33/1.53 (step @p241 :rule trans :premises (@p240 @p233)) % 1.33/1.53 (step @p242 :rule quant-var-elim-eq :args ((= (forall @t4 (or @t194 @t55 @t123 @t61 @t47 @t193)) @t192))) % 1.33/1.53 (step @p243 :rule refl :args (@t193)) % 1.33/1.53 (step @p244 :rule refl :args (@t47)) % 1.33/1.53 (step @p245 :rule refl :args (@t55)) % 1.33/1.53 (step @p246 :rule eq-symm :args (tptp.nil @t2)) % 1.33/1.53 (step @p247 :rule cong :premises (@p246) :args (@t55)) % 1.33/1.53 (step @p248 :rule nary_cong :premises (@p247 @p245 @p218 @p217 @p244 @p243) :args (@t195)) % 1.33/1.53 (step @p249 :rule aci_norm :args ((= @t196 @t195))) % 1.33/1.53 (step @p250 :rule trans :premises (@p249 @p248)) % 1.33/1.53 (step @p251 :rule cong :premises (@p250) :args (@t197)) % 1.33/1.53 (step @p252 :rule trans :premises (@p251 @p242)) % 1.33/1.53 (step @p253 :rule cong :premises (@p252) :args (@t198)) % 1.33/1.53 (step @p254 :rule quant-merge-prenex :args ((= @t198 @t199))) % 1.33/1.53 (step @p255 :rule symm :premises (@p254)) % 1.33/1.53 (step @p256 :rule quant_var_reordering :args ((= (forall @t41 @t196) @t199))) % 1.33/1.53 (step @p257 :rule trans :premises (@p256 @p255 @p253)) % 1.33/1.53 (step @p258 :rule trans :premises (@p257 @p241)) % 1.33/1.53 (step @p259 :rule eq-symm :args (@t91 tptp.nil)) % 1.33/1.53 (step @p260 :rule refl :args (@t47)) % 1.33/1.53 (step @p261 :rule refl :args (@t55)) % 1.33/1.53 (step @p262 :rule nary_cong :premises (@p261 @p237 @p236 @p260 @p259) :args (@t124)) % 1.33/1.53 (step @p263 :rule cong :premises (@p262) :args (@t125)) % 1.33/1.53 (step @p264 :rule trans :premises (@p263 @p258)) % 1.33/1.53 (step @p265 :rule eq_resolve :premises (@p142 @p264)) % 1.33/1.53 (step @p266 :rule chain_m_resolution :premises (@p265 @p8) :args (@t179 @t200 @t201)) % 1.33/1.53 (step @p267 :rule eq-symm :args (@t40 @t2)) % 1.33/1.53 (step @p268 :rule refl :args (@t73)) % 1.33/1.53 (step @p269 :rule nary_cong :premises (@p260 @p236 @p268 @p267) :args (@t74)) % 1.33/1.53 (step @p270 :rule cong :premises (@p269) :args (@t75)) % 1.33/1.53 (step @p271 :rule eq_resolve :premises (@p98 @p270)) % 1.33/1.53 (step @p272 :rule instantiate :premises (@p271) :args ((@list tptp.nil tptp.sk4))) % 1.33/1.53 (step @p273 :rule instantiate :premises (@p84) :args (@t202)) % 1.33/1.53 (step @p274 :rule cnf_or_pos :args (@t205)) % 1.33/1.53 (step @p275 :rule reordering :premises (@p274) :args ((or @t180 @t204 @t203 (not @t205)))) % 1.33/1.53 (step @p276 :rule refl :args (@t46)) % 1.33/1.53 (step @p277 :rule eq-symm :args (@t62 tptp.nil)) % 1.33/1.53 (step @p278 :rule cong :premises (@p277) :args (@t69)) % 1.33/1.53 (step @p279 :rule nary_cong :premises (@p278 @p276 @p236) :args (@t70)) % 1.33/1.53 (step @p280 :rule cong :premises (@p279) :args (@t71)) % 1.33/1.53 (step @p281 :rule eq_resolve :premises (@p96 @p280)) % 1.33/1.53 (step @p282 :rule instantiate :premises (@p281) :args (@t202)) % 1.33/1.53 (step @p283 :rule cnf_or_pos :args (@t208)) % 1.33/1.53 (step @p284 :rule reordering :premises (@p283) :args ((or @t180 @t204 @t207 (not @t208)))) % 1.33/1.53 (step @p285 :rule instantiate :premises (@p83) :args ((@list tptp.nil @t209))) % 1.33/1.53 (step @p286 :rule instantiate :premises (@p49) :args (@t177)) % 1.33/1.53 (step @p287 :rule cnf_or_pos :args (@t214)) % 1.33/1.53 (step @p288 :rule reordering :premises (@p287) :args ((or @t180 @t213 @t211 (not @t214)))) % 1.33/1.53 (step @p289 :rule chain_m_resolution :premises (@p288 @p8 @p286 @p285) :args (@t211 @t215 (@list @t1 @t212 @t214))) % 1.33/1.53 (step @p290 :rule instantiate :premises (@p203) :args ((@list @t216 @t210))) % 1.33/1.53 (step @p291 :rule instantiate :premises (@p48) :args (@t177)) % 1.33/1.53 (step @p292 :rule cnf_or_pos :args (@t226)) % 1.33/1.53 (step @p293 :rule reordering :premises (@p292) :args ((or @t225 @t223 @t222 @t219 (not @t226)))) % 1.33/1.53 (step @p294 :rule eq-symm :args (@t132 @t2)) % 1.33/1.53 (step @p295 :rule refl :args (@t106)) % 1.33/1.53 (step @p296 :rule nary_cong :premises (@p295 @p236 @p260 @p294) :args (@t133)) % 1.33/1.53 (step @p297 :rule cong :premises (@p296) :args (@t134)) % 1.33/1.53 (step @p298 :rule eq_resolve :premises (@p165 @p297)) % 1.33/1.53 (step @p299 :rule instantiate :premises (@p298) :args (@t177)) % 1.33/1.53 (step @p300 :rule aci_norm :args ((= (or false @t180 @t227) (or @t180 @t227)))) % 1.33/1.53 (step @p301 :rule refl :args (@t227)) % 1.33/1.53 (step @p302 :rule nary_cong :premises (@p212 @p208 @p301) :args (@t228)) % 1.33/1.53 (step @p303 :rule trans :premises (@p302 @p300)) % 1.33/1.53 (step @p304 :rule quant-var-elim-eq :args ((= (forall @t4 (or @t194 @t55 @t47 @t54)) @t228))) % 1.33/1.53 (step @p305 :rule refl :args (@t54)) % 1.33/1.53 (step @p306 :rule nary_cong :premises (@p247 @p245 @p244 @p305) :args (@t229)) % 1.33/1.53 (step @p307 :rule aci_norm :args ((= @t56 @t229))) % 1.33/1.53 (step @p308 :rule trans :premises (@p307 @p306)) % 1.33/1.53 (step @p309 :rule cong :premises (@p308) :args (@t57)) % 1.33/1.53 (step @p310 :rule trans :premises (@p309 @p304)) % 1.33/1.53 (step @p311 :rule trans :premises (@p310 @p303)) % 1.33/1.53 (step @p312 :rule eq_resolve :premises (@p77 @p311)) % 1.33/1.53 (step @p313 :rule chain_m_resolution :premises (@p312 @p8) :args (@t227 @t200 @t201)) % 1.33/1.53 (step @p314 :rule cnf_or_pos :args (@t232)) % 1.33/1.53 (step @p315 :rule factoring :premises (@p314)) % 1.33/1.53 (step @p316 :rule reordering :premises (@p315) :args ((or @t180 @t231 @t230 (not @t232)))) % 1.33/1.53 (step @p317 :rule chain_m_resolution :premises (@p316 @p8 @p313 @p299) :args (@t230 @t215 (@list @t1 @t227 @t232))) % 1.33/1.53 (step @p318 :rule refl :args (@t51)) % 1.33/1.53 (step @p319 :rule cong :premises (@p259) :args (@t93)) % 1.33/1.53 (step @p320 :rule nary_cong :premises (@p319 @p236 @p260 @p318) :args (@t94)) % 1.33/1.53 (step @p321 :rule cong :premises (@p320) :args (@t95)) % 1.33/1.53 (step @p322 :rule eq_resolve :premises (@p116 @p321)) % 1.33/1.53 (step @p323 :rule instantiate :premises (@p322) :args (@t233)) % 1.33/1.53 (step @p324 :rule cnf_or_pos :args (@t236)) % 1.33/1.53 (step @p325 :rule reordering :premises (@p324) :args ((or @t235 @t234 @t225 @t223 (not @t236)))) % 1.33/1.53 (step @p326 :rule chain_m_resolution :premises (@p325 @p317 @p291 @p289 @p323) :args (@t234 @t237 (@list @t230 @t224 @t211 @t236))) % 1.33/1.53 (step @p327 :rule refl :args (@t96)) % 1.33/1.53 (step @p328 :rule nary_cong :premises (@p319 @p236 @p260 @p327) :args (@t97)) % 1.33/1.53 (step @p329 :rule cong :premises (@p328) :args (@t98)) % 1.33/1.53 (step @p330 :rule eq_resolve :premises (@p117 @p329)) % 1.33/1.53 (step @p331 :rule instantiate :premises (@p330) :args (@t233)) % 1.33/1.53 (step @p332 :rule cnf_or_pos :args (@t239)) % 1.33/1.53 (step @p333 :rule reordering :premises (@p332) :args ((or @t235 @t225 @t223 @t238 (not @t239)))) % 1.33/1.53 (step @p334 :rule chain_m_resolution :premises (@p333 @p317 @p291 @p289 @p331) :args (@t238 @t237 (@list @t230 @t224 @t211 @t239))) % 1.33/1.53 (step @p335 :rule refl :args (@t219)) % 1.33/1.53 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:rule chain_m_resolution :premises (@p554 @p187 @p538 @p536 @p535 @p417 @p416 @p272 @p186 @p8 @p190 @p531 @p507 @p188) :args ((or @t261 @t251 @t252) (@list false true false false false false false false false true true false false) (@list @t153 @t265 @t267 @t263 @t171 @t168 @t248 @t152 @t1 @t165 @t167 @t259 @t154))) % 1.33/1.53 (step @p556 :rule chain_m_resolution :premises (@p555 @p425 @p423 @p422 @p417 @p416 @p272 @p186 @p8 @p190 @p491 @p317 @p188 @p266 @p451 @p284 @p282 @p8 @p275 @p273 @p8) :args (@t204 (@list true false false false false false false false true true false false false true true false false false false false) (@list @t252 @t254 @t249 @t171 @t168 @t248 @t152 @t1 @t165 @t167 @t230 @t154 @t179 @t218 @t206 @t208 @t1 @t203 @t205 @t1))) % 1.33/1.53 (step @p557 :rule chain_m_resolution :premises (@p191 @p556) :args (@t169 (@list true) (@list @t170))) % 1.33/1.53 (step @p558 :rule chain_m_resolution :premises (@p416 @p557 @p8 @p186 @p272) :args (@t165 (@list true false false false) (@list @t168 @t1 @t152 @t248))) % 1.33/1.53 (assume-push @p710 @t153) % 1.33/1.53 (assume-push @p711 @t165) % 1.33/1.53 (assume-push @p712 @t179) % 1.33/1.53 (assume-push @p713 @t179) % 1.33/1.53 (assume-push @p714 @t165) % 1.33/1.53 (assume-push @p715 @t153) % 1.33/1.53 (step @p565 :rule symm :premises (@p711)) % 1.33/1.53 (step @p566 :rule trans :premises (@p187 @p565 @p266)) % 1.33/1.53 (step-pop @p716 :rule scope :premises (@p566)) % 1.33/1.53 (step-pop @p717 :rule scope :premises (@p716)) % 1.33/1.53 (step-pop @p718 :rule scope :premises (@p717)) % 1.33/1.53 (step @p567 :rule process_scope :premises (@p718) :args (@t269)) % 1.33/1.53 (step @p571 :rule and_intro :premises (@p266 @p711 @p187)) % 1.33/1.53 (step @p572 :rule modus_ponens :premises (@p571 @p567)) % 1.33/1.53 (step-pop @p719 :rule scope :premises (@p572)) % 1.33/1.53 (step-pop @p720 :rule scope :premises (@p719)) % 1.33/1.53 (step-pop @p721 :rule scope :premises (@p720)) % 1.33/1.53 (step @p573 :rule process_scope :premises (@p721) :args (@t269)) % 1.33/1.53 (step @p577 :rule implies_elim :premises (@p573)) % 1.33/1.53 (step @p578 :rule cnf_and_neg :args (@t270)) % 1.33/1.53 (step @p579 :rule resolution :premises (@p578 @p577) :args (true @t270)) % 1.33/1.53 (step @p580 :rule reordering :premises (@p579) :args ((or @t166 @t242 @t243 @t269))) % 1.33/1.53 (step @p581 :rule chain_m_resolution :premises (@p580 @p558 @p266 @p187) :args (@t269 @t215 (@list @t165 @t179 @t153))) % 1.33/1.53 (step @p582 :rule chain_m_resolution :premises (@p190 @p558) :args (@t167 @t200 (@list @t165))) % 1.33/1.53 (assume-push @p722 @t154) % 1.33/1.53 (assume-push @p723 @t167) % 1.33/1.53 (assume-push @p724 @t179) % 1.33/1.53 (assume-push @p725 @t179) % 1.33/1.53 (assume-push @p726 @t167) % 1.33/1.53 (assume-push @p727 @t154) % 1.33/1.53 (step @p589 :rule symm :premises (@p723)) % 1.33/1.53 (step @p590 :rule trans :premises (@p188 @p589 @p266)) % 1.33/1.53 (step-pop @p728 :rule scope :premises (@p590)) % 1.33/1.53 (step-pop @p729 :rule scope :premises (@p728)) % 1.33/1.53 (step-pop @p730 :rule scope :premises (@p729)) % 1.33/1.53 (step @p591 :rule process_scope :premises (@p730) :args (@t271)) % 1.33/1.53 (step @p595 :rule and_intro :premises (@p266 @p723 @p188)) % 1.33/1.53 (step @p596 :rule modus_ponens :premises (@p595 @p591)) % 1.33/1.53 (step-pop @p731 :rule scope :premises (@p596)) % 1.33/1.53 (step-pop @p732 :rule scope :premises (@p731)) % 1.33/1.53 (step-pop @p733 :rule scope :premises (@p732)) % 1.33/1.53 (step @p597 :rule process_scope :premises (@p733) :args (@t271)) % 1.33/1.53 (step @p601 :rule implies_elim :premises (@p597)) % 1.33/1.53 (step @p602 :rule cnf_and_neg :args (@t272)) % 1.33/1.53 (step @p603 :rule resolution :premises (@p602 @p601) :args (true @t272)) % 1.33/1.53 (step @p604 :rule reordering :premises (@p603) :args ((or @t242 @t257 @t256 @t271))) % 1.33/1.53 (step @p605 :rule chain_m_resolution :premises (@p604 @p266 @p188 @p582) :args (@t271 @t215 (@list @t179 @t154 @t167))) % 1.33/1.53 (step @p606 :rule cnf_or_pos :args (@t275)) % 1.33/1.53 (step @p607 :rule factoring :premises (@p606)) % 1.33/1.53 (step @p608 :rule reordering :premises (@p607) :args ((or @t180 @t274 @t273 (not @t275)))) % 1.33/1.53 (step @p609 false :rule chain_m_resolution :premises (@p608 @p605 @p581 @p204 @p8) :args (false @t237 (@list @t271 @t269 @t275 @t1))) % 1.33/1.53 ) % 1.33/1.53 % SZS output end Proof % 1.33/1.53 % cvc5 exiting %------------------------------------------------------------------------------