%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC396-1 : 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 : n029.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 08:59:09 AM UTC 2026 % Result : Unsatisfiable 34.04s 34.53s % Output : Proof 34.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC396-1 : 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 % 0.17/0.34 % Computer : n029.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 19:46:02 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/16.05 --- Run --no-e-matching --full-saturate-quant at 6... % 21.86/22.08 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.86/28.12 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.97/34.17 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.04/34.53 % SZS status Unsatisfiable % 34.04/34.53 % SZS output start Proof % 34.04/34.55 ( % 34.04/34.55 (declare-sort $$unsorted 0) % 34.04/34.55 (declare-const tptp.sk5 $$unsorted) % 34.04/34.55 (declare-const tptp.sk4 $$unsorted) % 34.04/34.55 (declare-const tptp.sk2 $$unsorted) % 34.04/34.55 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.nil $$unsorted) % 34.04/34.55 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.sk1 $$unsorted) % 34.04/34.55 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.skac2 $$unsorted) % 34.04/34.55 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.sk3 $$unsorted) % 34.04/34.55 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.ssList (-> $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skac3 $$unsorted) % 34.04/34.55 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.55 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 34.04/34.55 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 34.04/34.55 (define @t1 () (tptp.ssList tptp.nil)) % 34.04/34.55 (define @t2 () (@var "U" $$unsorted)) % 34.04/34.55 (define @t3 () (tptp.skaf83 @t2)) % 34.04/34.55 (define @t4 () (@list @t2)) % 34.04/34.55 (define @t5 () (tptp.skaf82 @t2)) % 34.04/34.55 (define @t6 () (tptp.skaf81 @t2)) % 34.04/34.55 (define @t7 () (tptp.skaf80 @t2)) % 34.04/34.55 (define @t8 () (tptp.skaf79 @t2)) % 34.04/34.55 (define @t9 () (tptp.skaf78 @t2)) % 34.04/34.55 (define @t10 () (tptp.skaf77 @t2)) % 34.04/34.55 (define @t11 () (tptp.skaf76 @t2)) % 34.04/34.55 (define @t12 () (tptp.skaf75 @t2)) % 34.04/34.55 (define @t13 () (tptp.skaf74 @t2)) % 34.04/34.55 (define @t14 () (tptp.skaf73 @t2)) % 34.04/34.55 (define @t15 () (tptp.skaf72 @t2)) % 34.04/34.55 (define @t16 () (tptp.skaf71 @t2)) % 34.04/34.55 (define @t17 () (tptp.skaf70 @t2)) % 34.04/34.55 (define @t18 () (tptp.skaf69 @t2)) % 34.04/34.55 (define @t19 () (tptp.skaf68 @t2)) % 34.04/34.55 (define @t20 () (tptp.skaf67 @t2)) % 34.04/34.55 (define @t21 () (tptp.skaf66 @t2)) % 34.04/34.55 (define @t22 () (tptp.skaf65 @t2)) % 34.04/34.55 (define @t23 () (tptp.skaf64 @t2)) % 34.04/34.55 (define @t24 () (tptp.skaf63 @t2)) % 34.04/34.55 (define @t25 () (tptp.skaf62 @t2)) % 34.04/34.55 (define @t26 () (tptp.skaf61 @t2)) % 34.04/34.55 (define @t27 () (tptp.skaf60 @t2)) % 34.04/34.55 (define @t28 () (tptp.skaf59 @t2)) % 34.04/34.55 (define @t29 () (tptp.skaf58 @t2)) % 34.04/34.55 (define @t30 () (tptp.skaf57 @t2)) % 34.04/34.55 (define @t31 () (tptp.skaf56 @t2)) % 34.04/34.55 (define @t32 () (tptp.skaf55 @t2)) % 34.04/34.55 (define @t33 () (tptp.skaf54 @t2)) % 34.04/34.55 (define @t34 () (tptp.skaf53 @t2)) % 34.04/34.55 (define @t35 () (tptp.skaf52 @t2)) % 34.04/34.55 (define @t36 () (tptp.skaf51 @t2)) % 34.04/34.55 (define @t37 () (tptp.skaf50 @t2)) % 34.04/34.55 (define @t38 () (tptp.skaf49 @t2)) % 34.04/34.55 (define @t39 () (tptp.skaf44 @t2)) % 34.04/34.55 (define @t40 () (@var "V" $$unsorted)) % 34.04/34.55 (define @t41 () (@list @t2 @t40)) % 34.04/34.55 (define @t42 () (tptp.skaf47 @t2 @t40)) % 34.04/34.55 (define @t43 () (tptp.skaf46 @t2 @t40)) % 34.04/34.55 (define @t44 () (tptp.skaf45 @t2 @t40)) % 34.04/34.55 (define @t45 () (tptp.skaf42 @t2 @t40)) % 34.04/34.55 (define @t46 () (not (tptp.ssItem @t2))) % 34.04/34.55 (define @t47 () (not (tptp.ssList @t2))) % 34.04/34.55 (define @t48 () (tptp.cons @t2 tptp.nil)) % 34.04/34.55 (define @t49 () (tptp.ssItem @t40)) % 34.04/34.55 (define @t50 () (tptp.duplicatefreeP @t2)) % 34.04/34.55 (define @t51 () (= tptp.nil @t2)) % 34.04/34.55 (define @t52 () (tptp.tl @t2)) % 34.04/34.55 (define @t53 () (tptp.hd @t2)) % 34.04/34.55 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 34.04/34.55 (define @t55 () (not @t51)) % 34.04/34.55 (define @t56 () (tptp.rearsegP tptp.nil @t2)) % 34.04/34.55 (define @t57 () (tptp.frontsegP tptp.nil @t2)) % 34.04/34.55 (define @t58 () (tptp.app @t40 @t2)) % 34.04/34.55 (define @t59 () (not (tptp.ssList @t40))) % 34.04/34.55 (define @t60 () (tptp.cons @t2 @t40)) % 34.04/34.55 (define @t61 () (tptp.cyclefreeP @t2)) % 34.04/34.55 (define @t62 () (tptp.equalelemsP @t2)) % 34.04/34.55 (define @t63 () (tptp.strictorderedP @t2)) % 34.04/34.55 (define @t64 () (tptp.totalorderedP @t2)) % 34.04/34.55 (define @t65 () (tptp.strictorderP @t2)) % 34.04/34.55 (define @t66 () (tptp.totalorderP @t2)) % 34.04/34.55 (define @t67 () (= @t40 @t2)) % 34.04/34.55 (define @t68 () (tptp.neq @t40 @t2)) % 34.04/34.55 (define @t69 () (or @t47 @t59 @t68 @t67)) % 34.04/34.55 (define @t70 () (forall @t41 @t69)) % 34.04/34.55 (define @t71 () (not @t49)) % 34.04/34.55 (define @t72 () (tptp.leq @t2 @t40)) % 34.04/34.55 (define @t73 () (tptp.lt @t2 @t40)) % 34.04/34.55 (define @t74 () (not @t73)) % 34.04/34.55 (define @t75 () (tptp.cons @t53 @t52)) % 34.04/34.55 (define @t76 () (or @t47 (= @t75 @t2) @t51)) % 34.04/34.55 (define @t77 () (forall @t4 @t76)) % 34.04/34.55 (define @t78 () (tptp.lt @t40 @t2)) % 34.04/34.55 (define @t79 () (not (tptp.gt @t2 @t40))) % 34.04/34.55 (define @t80 () (tptp.gt @t40 @t2)) % 34.04/34.55 (define @t81 () (tptp.leq @t40 @t2)) % 34.04/34.55 (define @t82 () (not (tptp.geq @t2 @t40))) % 34.04/34.55 (define @t83 () (tptp.geq @t40 @t2)) % 34.04/34.55 (define @t84 () (not @t72)) % 34.04/34.55 (define @t85 () (= @t2 @t40)) % 34.04/34.55 (define @t86 () (not @t85)) % 34.04/34.55 (define @t87 () (tptp.cons @t40 @t2)) % 34.04/34.55 (define @t88 () (not (tptp.neq @t2 @t40))) % 34.04/34.55 (define @t89 () (tptp.app @t2 @t40)) % 34.04/34.55 (define @t90 () (= @t89 tptp.nil)) % 34.04/34.55 (define @t91 () (not @t90)) % 34.04/34.55 (define @t92 () (= tptp.nil @t40)) % 34.04/34.55 (define @t93 () (tptp.hd @t40)) % 34.04/34.55 (define @t94 () (tptp.strictorderedP @t40)) % 34.04/34.55 (define @t95 () (tptp.strictorderedP @t60)) % 34.04/34.55 (define @t96 () (not @t95)) % 34.04/34.55 (define @t97 () (tptp.totalorderedP @t40)) % 34.04/34.55 (define @t98 () (tptp.totalorderedP @t60)) % 34.04/34.55 (define @t99 () (not @t98)) % 34.04/34.55 (define @t100 () (not (tptp.segmentP @t2 @t40))) % 34.04/34.55 (define @t101 () (not (tptp.rearsegP @t2 @t40))) % 34.04/34.55 (define @t102 () (not (tptp.frontsegP @t2 @t40))) % 34.04/34.55 (define @t103 () (not @t81)) % 34.04/34.55 (define @t104 () (tptp.tl @t40)) % 34.04/34.55 (define @t105 () (tptp.lt @t2 @t93)) % 34.04/34.55 (define @t106 () (tptp.leq @t2 @t93)) % 34.04/34.55 (define @t107 () (@var "W" $$unsorted)) % 34.04/34.55 (define @t108 () (tptp.app @t107 @t2)) % 34.04/34.55 (define @t109 () (not (tptp.ssList @t107))) % 34.04/34.55 (define @t110 () (@list @t2 @t40 @t107)) % 34.04/34.55 (define @t111 () (tptp.app @t2 @t107)) % 34.04/34.55 (define @t112 () (tptp.cons @t40 @t107)) % 34.04/34.55 (define @t113 () (tptp.memberP @t112 @t2)) % 34.04/34.55 (define @t114 () (or @t86 @t109 @t71 @t46 @t113)) % 34.04/34.55 (define @t115 () (forall @t110 @t114)) % 34.04/34.55 (define @t116 () (tptp.cons @t107 @t2)) % 34.04/34.55 (define @t117 () (not (tptp.ssItem @t107))) % 34.04/34.55 (define @t118 () (not (tptp.memberP @t2 @t40))) % 34.04/34.55 (define @t119 () (not (= @t89 @t107))) % 34.04/34.55 (define @t120 () (tptp.lt @t2 @t107)) % 34.04/34.55 (define @t121 () (not (tptp.lt @t40 @t107))) % 34.04/34.55 (define @t122 () (tptp.app @t107 @t40)) % 34.04/34.55 (define @t123 () (= @t40 @t107)) % 34.04/34.55 (define @t124 () (= @t2 @t107)) % 34.04/34.55 (define @t125 () (tptp.memberP @t40 @t107)) % 34.04/34.55 (define @t126 () (not (tptp.memberP @t60 @t107))) % 34.04/34.55 (define @t127 () (or @t126 @t59 @t46 @t117 @t125 (= @t107 @t2))) % 34.04/34.55 (define @t128 () (forall @t110 @t127)) % 34.04/34.55 (define @t129 () (@var "X" $$unsorted)) % 34.04/34.55 (define @t130 () (not (tptp.ssList @t129))) % 34.04/34.55 (define @t131 () (tptp.cons @t107 @t129)) % 34.04/34.55 (define @t132 () (not (= @t60 @t131))) % 34.04/34.55 (define @t133 () (@list @t2 @t40 @t107 @t129)) % 34.04/34.55 (define @t134 () (not (tptp.frontsegP @t60 @t131))) % 34.04/34.55 (define @t135 () (tptp.app @t2 @t112)) % 34.04/34.55 (define @t136 () (not (tptp.ssItem @t129))) % 34.04/34.55 (define @t137 () (@var "Y" $$unsorted)) % 34.04/34.55 (define @t138 () (not (tptp.ssList @t137))) % 34.04/34.55 (define @t139 () (@list @t2 @t40 @t107 @t129 @t137)) % 34.04/34.55 (define @t140 () (tptp.lt @t40 @t129)) % 34.04/34.55 (define @t141 () (@var "Z" $$unsorted)) % 34.04/34.55 (define @t142 () (not (tptp.ssList @t141))) % 34.04/34.55 (define @t143 () (not (= (tptp.app @t135 (tptp.cons @t129 @t137)) @t141))) % 34.04/34.55 (define @t144 () (@list @t2 @t40 @t107 @t129 @t137 @t141)) % 34.04/34.55 (define @t145 () (tptp.leq @t40 @t129)) % 34.04/34.55 (define @t146 () (tptp.ssList tptp.sk3)) % 34.04/34.55 (define @t147 () (tptp.ssList tptp.sk4)) % 34.04/34.55 (define @t148 () (tptp.ssItem tptp.sk5)) % 34.04/34.55 (define @t149 () (tptp.memberP tptp.sk1 tptp.sk5)) % 34.04/34.55 (define @t150 () (tptp.memberP tptp.sk2 tptp.sk5)) % 34.04/34.55 (define @t151 () (not @t150)) % 34.04/34.55 (define @t152 () (= tptp.nil tptp.sk4)) % 34.04/34.55 (define @t153 () (not @t152)) % 34.04/34.55 (define @t154 () (= tptp.nil tptp.sk3)) % 34.04/34.55 (define @t155 () (tptp.neq tptp.sk4 tptp.nil)) % 34.04/34.55 (define @t156 () (not @t155)) % 34.04/34.55 (define @t157 () (tptp.neq tptp.nil tptp.sk3)) % 34.04/34.55 (define @t158 () (not @t157)) % 34.04/34.55 (define @t159 () (@var "D" $$unsorted)) % 34.04/34.55 (define @t160 () (tptp.hd tptp.sk3)) % 34.04/34.55 (define @t161 () (not (= @t160 @t159))) % 34.04/34.55 (define @t162 () (@var "C" $$unsorted)) % 34.04/34.55 (define @t163 () (tptp.cons @t159 tptp.nil)) % 34.04/34.55 (define @t164 () (not (= @t163 @t162))) % 34.04/34.55 (define @t165 () (not (tptp.ssItem @t159))) % 34.04/34.55 (define @t166 () (@var "A" $$unsorted)) % 34.04/34.55 (define @t167 () (@var "B" $$unsorted)) % 34.04/34.55 (define @t168 () (tptp.app @t167 @t162)) % 34.04/34.55 (define @t169 () (not (= @t168 @t166))) % 34.04/34.55 (define @t170 () (tptp.tl tptp.sk3)) % 34.04/34.55 (define @t171 () (not (= @t170 @t167))) % 34.04/34.55 (define @t172 () (not (tptp.ssList @t162))) % 34.04/34.55 (define @t173 () (not (tptp.ssList @t167))) % 34.04/34.55 (define @t174 () (= tptp.sk4 @t166)) % 34.04/34.55 (define @t175 () (not (tptp.ssList @t166))) % 34.04/34.55 (define @t176 () (or @t156 @t175 @t174 @t173 @t172 @t171 @t169 @t165 @t164 @t161 @t158 @t158)) % 34.04/34.55 (define @t177 () (@list @t166 @t167 @t162 @t159)) % 34.04/34.55 (define @t178 () (forall @t177 @t176)) % 34.04/34.55 (define @t179 () (@list tptp.sk3)) % 34.04/34.55 (define @t180 () (not @t148)) % 34.04/34.55 (define @t181 () (tptp.memberP tptp.nil tptp.sk5)) % 34.04/34.55 (define @t182 () (not @t181)) % 34.04/34.55 (define @t183 () (or @t182 @t180)) % 34.04/34.55 (define @t184 () (@list false false)) % 34.04/34.55 (define @t185 () (tptp.memberP tptp.sk3 tptp.sk5)) % 34.04/34.55 (define @t186 () (not @t185)) % 34.04/34.55 (define @t187 () (not @t154)) % 34.04/34.55 (define @t188 () (= false true)) % 34.04/34.55 (define @t189 () (and @t185 @t154 @t182)) % 34.04/34.55 (define @t190 () (tptp.ssItem @t160)) % 34.04/34.55 (define @t191 () (not @t146)) % 34.04/34.55 (define @t192 () (or @t191 @t190 @t154)) % 34.04/34.55 (define @t193 () (@list true false false)) % 34.04/34.55 (define @t194 () (@list @t160 tptp.nil)) % 34.04/34.55 (define @t195 () (tptp.cons @t160 tptp.nil)) % 34.04/34.55 (define @t196 () (tptp.ssList @t195)) % 34.04/34.55 (define @t197 () (not @t1)) % 34.04/34.55 (define @t198 () (not @t190)) % 34.04/34.55 (define @t199 () (or @t198 @t197 @t196)) % 34.04/34.55 (define @t200 () (@list false false false)) % 34.04/34.55 (define @t201 () (tptp.ssList @t170)) % 34.04/34.55 (define @t202 () (or @t191 @t201 @t154)) % 34.04/34.55 (define @t203 () (tptp.app @t170 @t195)) % 34.04/34.55 (define @t204 () (tptp.ssList @t203)) % 34.04/34.55 (define @t205 () (not @t201)) % 34.04/34.55 (define @t206 () (not @t196)) % 34.04/34.55 (define @t207 () (or @t206 @t205 @t204)) % 34.04/34.55 (define @t208 () (or @t191 @t197 @t157 (= tptp.sk3 tptp.nil))) % 34.04/34.55 (define @t209 () (forall @t41 (or @t47 @t59 @t68 @t85))) % 34.04/34.55 (define @t210 () (or @t191 @t197 @t157 @t154)) % 34.04/34.55 (define @t211 () (@list false)) % 34.04/34.55 (define @t212 () (@list true false false false)) % 34.04/34.55 (define @t213 () (not @t147)) % 34.04/34.55 (define @t214 () (or @t197 @t213 @t155 @t152)) % 34.04/34.55 (define @t215 () (= tptp.sk4 @t203)) % 34.04/34.55 (define @t216 () (not @t204)) % 34.04/34.55 (define @t217 () (or @t205 @t216 @t215 @t206 @t198)) % 34.04/34.55 (define @t218 () (or @t216 @t215 @t206 @t198)) % 34.04/34.55 (define @t219 () (not (= @t160 @t160))) % 34.04/34.55 (define @t220 () (or @t216 @t215 @t206 @t198 @t219)) % 34.04/34.55 (define @t221 () (not (= @t159 @t160))) % 34.04/34.55 (define @t222 () (not (tptp.ssList @t163))) % 34.04/34.55 (define @t223 () (tptp.app @t170 @t163)) % 34.04/34.55 (define @t224 () (= tptp.sk4 @t223)) % 34.04/34.55 (define @t225 () (not (tptp.ssList @t223))) % 34.04/34.55 (define @t226 () (or @t221 @t225 @t224 @t222 @t165 @t221)) % 34.04/34.55 (define @t227 () (@list @t159)) % 34.04/34.55 (define @t228 () (or @t225 @t224 @t222 @t165 @t221)) % 34.04/34.55 (define @t229 () (not (= @t163 @t163))) % 34.04/34.55 (define @t230 () (or @t225 @t224 @t222 @t165 @t229 @t221)) % 34.04/34.55 (define @t231 () (not (= @t162 @t163))) % 34.04/34.55 (define @t232 () (tptp.app @t170 @t162)) % 34.04/34.55 (define @t233 () (= tptp.sk4 @t232)) % 34.04/34.55 (define @t234 () (not (tptp.ssList @t232))) % 34.04/34.55 (define @t235 () (or @t231 @t234 @t233 @t172 @t165 @t231 @t221)) % 34.04/34.55 (define @t236 () (@list @t162)) % 34.04/34.55 (define @t237 () (or @t234 @t233 @t172 @t165 @t231 @t221)) % 34.04/34.55 (define @t238 () (forall @t236 @t237)) % 34.04/34.55 (define @t239 () (forall @t227 @t238)) % 34.04/34.55 (define @t240 () (forall (@list @t159 @t162) @t237)) % 34.04/34.55 (define @t241 () (@list @t162 @t159)) % 34.04/34.55 (define @t242 () (not (= @t232 @t232))) % 34.04/34.55 (define @t243 () (or @t234 @t233 @t172 @t242 @t165 @t231 @t221)) % 34.04/34.55 (define @t244 () (not (= @t166 @t232))) % 34.04/34.55 (define @t245 () (or @t244 @t175 @t174 @t172 @t244 @t165 @t231 @t221)) % 34.04/34.55 (define @t246 () (@list @t166)) % 34.04/34.55 (define @t247 () (or @t175 @t174 @t172 @t244 @t165 @t231 @t221)) % 34.04/34.55 (define @t248 () (forall @t246 @t247)) % 34.04/34.55 (define @t249 () (forall @t241 @t248)) % 34.04/34.55 (define @t250 () (forall (@list @t162 @t159 @t166) @t247)) % 34.04/34.55 (define @t251 () (@list @t166 @t162 @t159)) % 34.04/34.55 (define @t252 () (forall @t251 @t247)) % 34.04/34.55 (define @t253 () (or @t205 @t252)) % 34.04/34.55 (define @t254 () (or @t205 @t247)) % 34.04/34.55 (define @t255 () (or @t175 @t174 @t205 @t172 @t244 @t165 @t231 @t221)) % 34.04/34.55 (define @t256 () (not (= @t170 @t170))) % 34.04/34.55 (define @t257 () (or @t175 @t174 @t205 @t256 @t172 @t244 @t165 @t231 @t221)) % 34.04/34.55 (define @t258 () (not (= @t166 @t168))) % 34.04/34.55 (define @t259 () (not (= @t167 @t170))) % 34.04/34.55 (define @t260 () (or @t259 @t175 @t174 @t173 @t259 @t172 @t258 @t165 @t231 @t221)) % 34.04/34.55 (define @t261 () (@list @t167)) % 34.04/34.55 (define @t262 () (or @t175 @t174 @t173 @t259 @t172 @t258 @t165 @t231 @t221)) % 34.04/34.55 (define @t263 () (forall @t261 @t262)) % 34.04/34.55 (define @t264 () (forall @t251 @t263)) % 34.04/34.55 (define @t265 () (forall (@list @t166 @t162 @t159 @t167) @t262)) % 34.04/34.55 (define @t266 () (forall @t177 @t262)) % 34.04/34.55 (define @t267 () (or @t156 @t158 @t266)) % 34.04/34.55 (define @t268 () (or @t156 @t158 @t262)) % 34.04/34.55 (define @t269 () (or @t156 @t175 @t174 @t173 @t172 @t259 @t258 @t165 @t231 @t221 @t158)) % 34.04/34.55 (define @t270 () (or @t156 @t175 @t174 @t173 @t172 @t259 @t258 @t165 @t231 @t221 @t158 @t158)) % 34.04/34.55 (define @t271 () (tptp.memberP @t170 tptp.sk5)) % 34.04/34.55 (define @t272 () (tptp.cons @t160 @t170)) % 34.04/34.55 (define @t273 () (tptp.memberP @t272 tptp.sk5)) % 34.04/34.55 (define @t274 () (not @t273)) % 34.04/34.55 (define @t275 () (or @t274 @t205 @t198 @t180 @t271 (= @t160 tptp.sk5))) % 34.04/34.55 (define @t276 () (forall @t110 (or @t126 @t59 @t46 @t117 @t125 @t124))) % 34.04/34.55 (define @t277 () (= tptp.sk5 @t160)) % 34.04/34.55 (define @t278 () (or @t274 @t205 @t198 @t180 @t271 @t277)) % 34.04/34.55 (define @t279 () (tptp.memberP @t112 @t40)) % 34.04/34.55 (define @t280 () (not (= @t40 @t40))) % 34.04/34.55 (define @t281 () (or @t280 @t109 @t71 @t71 @t279)) % 34.04/34.55 (define @t282 () (@list @t40 @t107)) % 34.04/34.55 (define @t283 () (or @t86 @t86 @t109 @t71 @t46 @t113)) % 34.04/34.55 (define @t284 () (forall @t4 @t114)) % 34.04/34.55 (define @t285 () (forall @t282 @t284)) % 34.04/34.55 (define @t286 () (forall (@list @t40 @t107 @t2) @t114)) % 34.04/34.55 (define @t287 () (tptp.memberP @t195 @t160)) % 34.04/34.55 (define @t288 () (or @t197 @t198 @t287)) % 34.04/34.55 (define @t289 () (tptp.memberP @t203 @t160)) % 34.04/34.55 (define @t290 () (not @t287)) % 34.04/34.55 (define @t291 () (or @t290 @t206 @t205 @t198 @t289)) % 34.04/34.55 (define @t292 () (@list false false false false false)) % 34.04/34.55 (define @t293 () (not @t289)) % 34.04/34.55 (define @t294 () (not @t277)) % 34.04/34.55 (define @t295 () (tptp.memberP tptp.sk4 tptp.sk5)) % 34.04/34.55 (define @t296 () (not @t215)) % 34.04/34.55 (define @t297 () (not @t295)) % 34.04/34.55 (define @t298 () (not @t297)) % 34.04/34.55 (define @t299 () (and @t289 @t215 @t277 @t297)) % 34.04/34.55 (define @t300 () (= tptp.sk3 @t272)) % 34.04/34.55 (define @t301 () (or @t191 @t300 @t154)) % 34.04/34.55 (define @t302 () (and @t185 @t300)) % 34.04/34.55 (define @t303 () (tptp.memberP @t203 tptp.sk5)) % 34.04/34.55 (define @t304 () (not @t271)) % 34.04/34.55 (define @t305 () (or @t304 @t206 @t205 @t180 @t303)) % 34.04/34.55 (define @t306 () (not @t303)) % 34.04/34.55 (define @t307 () (and @t303 @t215 @t297)) % 34.04/34.55 (assume @p1 (tptp.equalelemsP tptp.nil)) % 34.04/34.55 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 34.04/34.55 (assume @p3 (tptp.strictorderedP tptp.nil)) % 34.04/34.55 (assume @p4 (tptp.totalorderedP tptp.nil)) % 34.04/34.55 (assume @p5 (tptp.strictorderP tptp.nil)) % 34.04/34.55 (assume @p6 (tptp.totalorderP tptp.nil)) % 34.04/34.55 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 34.04/34.55 (assume @p8 @t1) % 34.04/34.55 (assume @p9 (tptp.ssItem tptp.skac3)) % 34.04/34.55 (assume @p10 (tptp.ssItem tptp.skac2)) % 34.04/34.55 (assume @p11 (not (tptp.singletonP tptp.nil))) % 34.04/34.55 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 34.04/34.55 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 34.04/34.55 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 34.04/34.55 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 34.04/34.55 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 34.04/34.55 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 34.04/34.55 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 34.04/34.55 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 34.04/34.55 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 34.04/34.55 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 34.04/34.55 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 34.04/34.55 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 34.04/34.55 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 34.04/34.55 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 34.04/34.55 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 34.04/34.55 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 34.04/34.55 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 34.04/34.55 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 34.04/34.55 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 34.04/34.55 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 34.04/34.55 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 34.04/34.55 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 34.04/34.55 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 34.04/34.55 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 34.04/34.55 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 34.04/34.55 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 34.04/34.55 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 34.04/34.55 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 34.04/34.55 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 34.04/34.55 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 34.04/34.55 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 34.04/34.55 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 34.04/34.55 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 34.04/34.55 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 34.04/34.55 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 34.04/34.55 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 34.04/34.55 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 34.04/34.55 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 34.04/34.55 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 34.04/34.55 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 34.04/34.55 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 34.04/34.55 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 34.04/34.55 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 34.04/34.55 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 34.04/34.55 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 34.04/34.55 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 34.04/34.55 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 34.04/34.55 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 34.04/34.55 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 34.04/34.55 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 34.04/34.55 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 34.04/34.55 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 34.04/34.55 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 34.04/34.55 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 34.04/34.55 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 34.04/34.55 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 34.04/34.55 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 34.04/34.55 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 34.04/34.55 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 34.04/34.55 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 34.04/34.55 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 34.04/34.55 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 34.04/34.55 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 34.04/34.55 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 34.04/34.55 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 34.04/34.55 (assume @p77 (forall @t4 (or @t55 @t47 @t54))) % 34.04/34.55 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 34.04/34.55 (assume @p79 (forall @t4 (or @t55 @t47 @t56))) % 34.04/34.55 (assume @p80 (forall @t4 (or (not @t56) @t47 @t51))) % 34.04/34.55 (assume @p81 (forall @t4 (or @t55 @t47 @t57))) % 34.04/34.55 (assume @p82 (forall @t4 (or (not @t57) @t47 @t51))) % 34.04/34.55 (assume @p83 (forall @t41 (or @t47 @t59 (tptp.ssList @t58)))) % 34.04/34.55 (assume @p84 (forall @t41 (or @t46 @t59 (tptp.ssList @t60)))) % 34.04/34.55 (assume @p85 (forall @t4 (or @t47 @t61 (tptp.leq @t37 @t38)))) % 34.04/34.55 (assume @p86 (forall @t4 (or @t47 @t61 (tptp.leq @t38 @t37)))) % 34.04/34.55 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t62))) % 34.04/34.55 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t63))) % 34.04/34.55 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t64))) % 34.04/34.55 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t65))) % 34.04/34.55 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t65))) % 34.04/34.55 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t66))) % 34.04/34.55 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t66))) % 34.04/34.55 (assume @p94 (forall @t41 (or @t46 @t59 (= (tptp.tl @t60) @t40)))) % 34.04/34.55 (assume @p95 (forall @t41 (or @t46 @t59 (= (tptp.hd @t60) @t2)))) % 34.04/34.55 (assume @p96 (forall @t41 (or (not (= @t60 tptp.nil)) @t46 @t59))) % 34.04/34.55 (assume @p97 (forall @t41 (or (not (= @t60 @t40)) @t46 @t59))) % 34.04/34.55 (assume @p98 @t70) % 34.04/34.55 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 34.04/34.55 (assume @p100 (forall @t41 (or @t46 @t71 @t68 @t67))) % 34.04/34.55 (assume @p101 (forall @t41 (or @t74 @t71 @t46 @t72))) % 34.04/34.55 (assume @p102 @t77) % 34.04/34.55 (assume @p103 (forall @t41 (or @t79 @t71 @t46 @t78))) % 34.04/34.55 (assume @p104 (forall @t41 (or @t74 @t46 @t71 @t80))) % 34.04/34.55 (assume @p105 (forall @t41 (or @t82 @t71 @t46 @t81))) % 34.04/34.55 (assume @p106 (forall @t41 (or @t84 @t46 @t71 @t83))) % 34.04/34.55 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 34.04/34.55 (assume @p108 (forall @t41 (or @t79 (not @t80) @t46 @t71))) % 34.04/34.55 (assume @p109 (forall @t41 (or @t86 @t74 @t71 @t46))) % 34.04/34.55 (assume @p110 (forall @t41 (or @t55 @t47 @t71 (tptp.strictorderedP @t87)))) % 34.04/34.55 (assume @p111 (forall @t41 (or @t55 @t47 @t71 (tptp.totalorderedP @t87)))) % 34.04/34.55 (assume @p112 (forall @t41 (or @t74 (not @t78) @t46 @t71))) % 34.04/34.55 (assume @p113 (forall @t41 (or @t86 @t88 @t59 @t47))) % 34.04/34.55 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t59 (tptp.singletonP @t40)))) % 34.04/34.55 (assume @p115 (forall @t41 (or @t86 @t88 @t71 @t46))) % 34.04/34.55 (assume @p116 (forall @t41 (or @t91 @t59 @t47 @t51))) % 34.04/34.55 (assume @p117 (forall @t41 (or @t91 @t59 @t47 @t92))) % 34.04/34.55 (assume @p118 (forall @t41 (or @t46 @t59 (= (tptp.app @t48 @t40) @t60)))) % 34.04/34.55 (assume @p119 (forall @t41 (or @t84 @t71 @t46 @t73 @t85))) % 34.04/34.55 (assume @p120 (forall @t41 (or @t47 @t59 @t92 (= (tptp.hd @t58) @t93)))) % 34.04/34.55 (assume @p121 (forall @t41 (or @t96 @t59 @t46 @t94 @t92))) % 34.04/34.55 (assume @p122 (forall @t41 (or @t99 @t59 @t46 @t97 @t92))) % 34.04/34.55 (assume @p123 (forall @t41 (or @t82 (not @t83) @t46 @t71 @t67))) % 34.04/34.55 (assume @p124 (forall @t41 (or @t100 (not (tptp.segmentP @t40 @t2)) @t47 @t59 @t67))) % 34.04/34.55 (assume @p125 (forall @t41 (or @t101 (not (tptp.rearsegP @t40 @t2)) @t47 @t59 @t67))) % 34.04/34.55 (assume @p126 (forall @t41 (or @t102 (not (tptp.frontsegP @t40 @t2)) @t47 @t59 @t67))) % 34.04/34.55 (assume @p127 (forall @t41 (or @t84 @t103 @t46 @t71 @t67))) % 34.04/34.55 (assume @p128 (forall @t41 (or @t101 @t59 @t47 (= (tptp.app @t43 @t40) @t2)))) % 34.04/34.55 (assume @p129 (forall @t41 (or @t102 @t59 @t47 (= (tptp.app @t40 @t44) @t2)))) % 34.04/34.55 (assume @p130 (forall @t41 (or @t47 @t59 @t92 (= (tptp.tl @t58) (tptp.app @t104 @t2))))) % 34.04/34.55 (assume @p131 (forall @t41 (or @t96 @t59 @t46 @t105 @t92))) % 34.04/34.55 (assume @p132 (forall @t41 (or @t99 @t59 @t46 @t106 @t92))) % 34.04/34.55 (assume @p133 (forall @t110 (or @t101 @t109 @t59 @t47 (tptp.rearsegP @t108 @t40)))) % 34.04/34.55 (assume @p134 (forall @t110 (or @t102 @t109 @t59 @t47 (tptp.frontsegP @t111 @t40)))) % 34.04/34.55 (assume @p135 @t115) % 34.04/34.55 (assume @p136 (forall @t110 (or @t118 @t47 @t117 @t71 (tptp.memberP @t116 @t40)))) % 34.04/34.55 (assume @p137 (forall @t110 (or @t118 @t109 @t47 @t71 (tptp.memberP @t111 @t40)))) % 34.04/34.55 (assume @p138 (forall @t110 (or @t118 @t47 @t109 @t71 (tptp.memberP @t108 @t40)))) % 34.04/34.55 (assume @p139 (forall @t4 (or @t47 @t62 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 34.04/34.55 (assume @p140 (forall @t110 (or @t119 @t47 @t59 @t109 (tptp.rearsegP @t107 @t40)))) % 34.04/34.55 (assume @p141 (forall @t110 (or @t119 @t59 @t47 @t109 (tptp.frontsegP @t107 @t2)))) % 34.04/34.55 (assume @p142 (forall @t41 (or @t55 (not @t92) @t59 @t47 @t90))) % 34.04/34.55 (assume @p143 (forall @t110 (or @t79 (not (tptp.gt @t40 @t107)) @t117 @t71 @t46 (tptp.gt @t2 @t107)))) % 34.04/34.55 (assume @p144 (forall @t110 (or @t84 @t121 @t117 @t71 @t46 @t120))) % 34.04/34.55 (assume @p145 (forall @t110 (or @t82 (not (tptp.geq @t40 @t107)) @t117 @t71 @t46 (tptp.geq @t2 @t107)))) % 34.04/34.55 (assume @p146 (forall @t110 (or @t47 @t59 @t109 (= (tptp.app @t122 @t2) (tptp.app @t107 @t58))))) % 34.04/34.55 (assume @p147 (forall @t110 (or (not (= @t89 @t111)) @t59 @t47 @t109 @t123))) % 34.04/34.55 (assume @p148 (forall @t110 (or (not (= @t89 @t122)) @t47 @t59 @t109 @t124))) % 34.04/34.55 (assume @p149 (forall @t110 (or @t100 (not (tptp.segmentP @t40 @t107)) @t109 @t59 @t47 (tptp.segmentP @t2 @t107)))) % 34.04/34.55 (assume @p150 (forall @t110 (or @t101 (not (tptp.rearsegP @t40 @t107)) @t109 @t59 @t47 (tptp.rearsegP @t2 @t107)))) % 34.04/34.55 (assume @p151 (forall @t110 (or @t102 (not (tptp.frontsegP @t40 @t107)) @t109 @t59 @t47 (tptp.frontsegP @t2 @t107)))) % 34.04/34.55 (assume @p152 (forall @t110 (or @t74 @t121 @t117 @t71 @t46 @t120))) % 34.04/34.55 (assume @p153 (forall @t110 (or @t84 (not (tptp.leq @t40 @t107)) @t117 @t71 @t46 (tptp.leq @t2 @t107)))) % 34.04/34.55 (assume @p154 (forall @t110 (or @t46 @t59 @t109 (= (tptp.cons @t2 (tptp.app @t40 @t107)) (tptp.app @t60 @t107))))) % 34.04/34.55 (assume @p155 (forall @t110 (or (not (tptp.memberP @t89 @t107)) @t59 @t47 @t117 @t125 (tptp.memberP @t2 @t107)))) % 34.04/34.55 (assume @p156 (forall @t41 (or (not @t106) (not @t97) @t59 @t46 @t98 @t92))) % 34.04/34.55 (assume @p157 (forall @t41 (or (not @t105) (not @t94) @t59 @t46 @t95 @t92))) % 34.04/34.55 (assume @p158 @t128) % 34.04/34.55 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 34.04/34.55 (assume @p160 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 34.04/34.55 (assume @p161 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 34.04/34.56 (assume @p162 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 34.04/34.56 (assume @p163 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 34.04/34.56 (assume @p164 (forall @t4 (or @t47 @t61 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 34.04/34.56 (assume @p165 (forall @t41 (or @t100 @t59 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 34.04/34.56 (assume @p166 (forall @t41 (or @t118 @t71 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 34.04/34.56 (assume @p167 (forall @t133 (or @t132 @t117 @t46 @t130 @t59 @t124))) % 34.04/34.56 (assume @p168 (forall @t133 (or @t132 @t117 @t46 @t130 @t59 (= @t129 @t40)))) % 34.04/34.56 (assume @p169 (forall @t133 (or @t100 @t109 @t130 @t59 @t47 (tptp.segmentP (tptp.app (tptp.app @t129 @t2) @t107) @t40)))) % 34.04/34.56 (assume @p170 (forall @t133 (or (not (= (tptp.app @t89 @t107) @t129)) @t109 @t47 @t59 @t130 (tptp.segmentP @t129 @t40)))) % 34.04/34.56 (assume @p171 (forall @t133 (or @t134 @t130 @t59 @t117 @t46 (tptp.frontsegP @t40 @t129)))) % 34.04/34.56 (assume @p172 (forall @t133 (or (not (= @t135 @t129)) @t109 @t47 @t71 @t130 (tptp.memberP @t129 @t40)))) % 34.04/34.56 (assume @p173 (forall @t133 (or @t134 @t130 @t59 @t117 @t46 @t124))) % 34.04/34.56 (assume @p174 (forall @t41 (or (not (= @t52 @t104)) (not (= @t53 @t93)) @t47 @t59 @t92 @t85 @t51))) % 34.04/34.56 (assume @p175 (forall @t133 (or @t102 (not (= @t107 @t129)) @t59 @t47 @t136 @t117 (tptp.frontsegP @t116 (tptp.cons @t129 @t40))))) % 34.04/34.56 (assume @p176 (forall @t139 (or (not (= (tptp.app @t135 (tptp.cons @t40 @t129)) @t137)) @t130 @t109 @t47 @t71 (not (tptp.duplicatefreeP @t137)) @t138))) % 34.04/34.56 (assume @p177 (forall @t139 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t131)) @t137)) @t130 @t47 @t117 @t71 (not (tptp.equalelemsP @t137)) @t138 @t123))) % 34.04/34.56 (assume @p178 (forall @t144 (or @t143 @t138 @t109 @t47 @t136 @t71 (not (tptp.strictorderedP @t141)) @t142 @t140))) % 34.04/34.56 (assume @p179 (forall @t144 (or @t143 @t138 @t109 @t47 @t136 @t71 (not (tptp.totalorderedP @t141)) @t142 @t145))) % 34.04/34.56 (assume @p180 (forall @t144 (or @t143 @t138 @t109 @t47 @t136 @t71 (not (tptp.strictorderP @t141)) @t142 @t140 (tptp.lt @t129 @t40)))) % 34.04/34.56 (assume @p181 (forall @t144 (or @t143 @t138 @t109 @t47 @t136 @t71 (not (tptp.totalorderP @t141)) @t142 @t145 (tptp.leq @t129 @t40)))) % 34.04/34.56 (assume @p182 (forall @t144 (or @t84 @t103 (not (= (tptp.app (tptp.app @t107 (tptp.cons @t2 @t129)) (tptp.cons @t40 @t137)) @t141)) @t138 @t130 @t109 @t71 @t46 (not (tptp.cyclefreeP @t141)) @t142))) % 34.04/34.56 (assume @p183 (tptp.ssList tptp.sk1)) % 34.04/34.56 (assume @p184 (tptp.ssList tptp.sk2)) % 34.04/34.56 (assume @p185 @t146) % 34.04/34.56 (assume @p186 @t147) % 34.04/34.56 (assume @p187 (= tptp.sk2 tptp.sk4)) % 34.04/34.56 (assume @p188 (= tptp.sk1 tptp.sk3)) % 34.04/34.56 (assume @p189 @t148) % 34.04/34.56 (assume @p190 @t149) % 34.04/34.56 (assume @p191 @t151) % 34.04/34.56 (assume @p192 (or @t154 @t153)) % 34.04/34.56 (assume @p193 (or @t156 (tptp.neq tptp.sk3 tptp.nil))) % 34.04/34.56 (assume @p194 @t178) % 34.04/34.56 (step @p195 :rule refl :args (tptp.sk5)) % 34.04/34.56 (step @p196 :rule cong :premises (@p187 @p195) :args (@t150)) % 34.04/34.56 (step @p197 :rule cong :premises (@p196) :args (@t151)) % 34.04/34.56 (step @p198 :rule eq_resolve :premises (@p191 @p197)) % 34.04/34.56 (step @p199 :rule instantiate :premises (@p76) :args (@t179)) % 34.04/34.56 (step @p200 :rule instantiate :premises (@p71) :args ((@list tptp.sk5))) % 34.04/34.56 (step @p201 :rule cnf_or_pos :args (@t183)) % 34.04/34.56 (step @p202 :rule reordering :premises (@p201) :args ((or @t180 @t182 (not @t183)))) % 34.04/34.56 (step @p203 :rule chain_m_resolution :premises (@p202 @p189 @p200) :args (@t182 @t184 (@list @t148 @t183))) % 34.04/34.56 (step @p204 :rule cong :premises (@p188 @p195) :args (@t149)) % 34.04/34.56 (step @p205 :rule eq_resolve :premises (@p190 @p204)) % 34.04/34.56 (step @p206 :rule bool-double-not-elim :args (@t181)) % 34.04/34.56 (step @p207 :rule refl :args (@t186)) % 34.04/34.56 (step @p208 :rule refl :args (@t187)) % 34.04/34.56 (step @p209 :rule nary_cong :premises (@p208 @p207 @p206) :args ((or @t187 @t186 (not @t182)))) % 34.04/34.56 (assume-push @p550 @t185) % 34.04/34.56 (assume-push @p551 @t154) % 34.04/34.56 (assume-push @p552 @t182) % 34.04/34.56 (step @p213 :rule evaluate :args (@t188)) % 34.04/34.56 (step @p214 :rule true_intro :premises (@p205)) % 34.04/34.56 (step @p215 :rule cong :premises (@p551 @p195) :args (@t181)) % 34.04/34.56 (step @p216 :rule false_intro :premises (@p203)) % 34.04/34.56 (step @p217 :rule symm :premises (@p216)) % 34.04/34.56 (step @p218 :rule trans :premises (@p217 @p215 @p214)) % 34.04/34.56 (step @p219 false :rule eq_resolve :premises (@p218 @p213)) % 34.04/34.56 (step-pop @p553 :rule scope :premises (@p219)) % 34.04/34.56 (step-pop @p554 :rule scope :premises (@p553)) % 34.04/34.56 (step-pop @p555 :rule scope :premises (@p554)) % 34.04/34.56 (step @p220 :rule process_scope :premises (@p555) :args (false)) % 34.04/34.56 (assume-push @p556 @t154) % 34.04/34.56 (assume-push @p557 @t185) % 34.04/34.56 (assume-push @p558 @t182) % 34.04/34.56 (step @p227 :rule and_intro :premises (@p205 @p556 @p203)) % 34.04/34.56 (step-pop @p559 :rule scope :premises (@p227)) % 34.04/34.56 (step-pop @p560 :rule scope :premises (@p559)) % 34.04/34.56 (step-pop @p561 :rule scope :premises (@p560)) % 34.04/34.56 (step @p228 :rule process_scope :premises (@p561) :args (@t189)) % 34.04/34.56 (step @p232 :rule implies_elim :premises (@p228)) % 34.04/34.56 (step @p233 :rule resolution :premises (@p232 @p220) :args (true @t189)) % 34.04/34.56 (step @p234 :rule not_and :premises (@p233)) % 34.04/34.56 (step @p235 :rule eq_resolve :premises (@p234 @p209)) % 34.04/34.56 (step @p236 :rule reordering :premises (@p235) :args ((or @t186 @t187 @t181))) % 34.04/34.56 (step @p237 :rule chain_m_resolution :premises (@p236 @p205 @p203) :args (@t187 (@list false true) (@list @t185 @t181))) % 34.04/34.56 (step @p238 :rule cnf_or_pos :args (@t192)) % 34.04/34.56 (step @p239 :rule reordering :premises (@p238) :args ((or @t154 @t190 @t191 (not @t192)))) % 34.04/34.56 (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p185 @p199) :args (@t190 @t193 (@list @t154 @t146 @t192))) % 34.04/34.56 (step @p241 :rule instantiate :premises (@p84) :args (@t194)) % 34.04/34.56 (step @p242 :rule cnf_or_pos :args (@t199)) % 34.04/34.56 (step @p243 :rule reordering :premises (@p242) :args ((or @t197 @t196 @t198 (not @t199)))) % 34.04/34.56 (step @p244 :rule chain_m_resolution :premises (@p243 @p8 @p240 @p241) :args (@t196 @t200 (@list @t1 @t190 @t199))) % 34.04/34.56 (step @p245 :rule instantiate :premises (@p83) :args ((@list @t195 @t170))) % 34.04/34.56 (step @p246 :rule instantiate :premises (@p75) :args (@t179)) % 34.04/34.56 (step @p247 :rule cnf_or_pos :args (@t202)) % 34.04/34.56 (step @p248 :rule reordering :premises (@p247) :args ((or @t154 @t201 @t191 (not @t202)))) % 34.04/34.56 (step @p249 :rule chain_m_resolution :premises (@p248 @p237 @p185 @p246) :args (@t201 @t193 (@list @t154 @t146 @t202))) % 34.04/34.56 (step @p250 :rule cnf_or_pos :args (@t207)) % 34.04/34.56 (step @p251 :rule reordering :premises (@p250) :args ((or @t205 @t204 @t206 (not @t207)))) % 34.04/34.56 (step @p252 :rule chain_m_resolution :premises (@p251 @p249 @p244 @p245) :args (@t204 @t200 (@list @t201 @t196 @t207))) % 34.04/34.56 (step @p253 :rule eq-symm :args (@t40 @t2)) % 34.04/34.56 (step @p254 :rule refl :args (@t68)) % 34.04/34.56 (step @p255 :rule refl :args (@t59)) % 34.04/34.56 (step @p256 :rule refl :args (@t47)) % 34.04/34.56 (step @p257 :rule nary_cong :premises (@p256 @p255 @p254 @p253) :args (@t69)) % 34.04/34.56 (step @p258 :rule cong :premises (@p257) :args (@t70)) % 34.04/34.56 (step @p259 :rule eq_resolve :premises (@p98 @p258)) % 34.04/34.56 (step @p260 :rule eq-symm :args (tptp.sk3 tptp.nil)) % 34.04/34.56 (step @p261 :rule refl :args (@t157)) % 34.04/34.56 (step @p262 :rule refl :args (@t197)) % 34.04/34.56 (step @p263 :rule refl :args (@t191)) % 34.04/34.56 (step @p264 :rule nary_cong :premises (@p263 @p262 @p261 @p260) :args (@t208)) % 34.04/34.56 (step @p265 :rule refl :args (@t209)) % 34.04/34.56 (step @p266 :rule cong :premises (@p265 @p264) :args ((=> @t209 @t208))) % 34.04/34.56 (assume-push @p562 @t209) % 34.04/34.56 (step @p268 :rule instantiate :premises (@p259) :args ((@list tptp.sk3 tptp.nil))) % 34.04/34.56 (step-pop @p563 :rule scope :premises (@p268)) % 34.04/34.56 (step @p269 :rule process_scope :premises (@p563) :args (@t208)) % 34.04/34.56 (step @p271 :rule eq_resolve :premises (@p269 @p266)) % 34.04/34.56 (step @p272 :rule implies_elim :premises (@p271)) % 34.04/34.56 (step @p273 :rule chain_m_resolution :premises (@p272 @p259) :args (@t210 @t211 (@list @t209))) % 34.04/34.56 (step @p274 :rule cnf_or_pos :args (@t210)) % 34.04/34.56 (step @p275 :rule reordering :premises (@p274) :args ((or @t154 @t157 @t197 @t191 (not @t210)))) % 34.04/34.56 (step @p276 :rule chain_m_resolution :premises (@p275 @p237 @p8 @p185 @p273) :args (@t157 @t212 (@list @t154 @t1 @t146 @t210))) % 34.04/34.56 (step @p277 :rule instantiate :premises (@p259) :args ((@list tptp.nil tptp.sk4))) % 34.04/34.56 (step @p278 :rule chain_m_resolution :premises (@p192 @p237) :args (@t153 (@list true) (@list @t154))) % 34.04/34.56 (step @p279 :rule cnf_or_pos :args (@t214)) % 34.04/34.56 (step @p280 :rule reordering :premises (@p279) :args ((or @t152 @t155 @t197 @t213 (not @t214)))) % 34.04/34.56 (step @p281 :rule chain_m_resolution :premises (@p280 @p278 @p8 @p186 @p277) :args (@t155 @t212 (@list @t152 @t1 @t147 @t214))) % 34.04/34.56 (step @p282 :rule aci_norm :args ((= (or @t156 @t158 @t217) (or @t156 @t158 @t205 @t216 @t215 @t206 @t198)))) % 34.04/34.56 (step @p283 :rule aci_norm :args ((= (or @t205 @t218) @t217))) % 34.04/34.56 (step @p284 :rule aci_norm :args ((= (or @t216 @t215 @t206 @t198 false) @t218))) % 34.04/34.56 (step @p285 :rule evaluate :args ((not true))) % 34.04/34.56 (step @p286 :rule eq-refl :args (@t160)) % 34.04/34.56 (step @p287 :rule cong :premises (@p286) :args (@t219)) % 34.04/34.56 (step @p288 :rule trans :premises (@p287 @p285)) % 34.04/34.56 (step @p289 :rule refl :args (@t198)) % 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34.04/34.56 (step @p501 :rule symm :premises (@p583)) % 34.04/34.56 (step @p502 :rule cong :premises (@p501 @p195) :args (@t273)) % 34.04/34.56 (step @p503 :rule trans :premises (@p502 @p214)) % 34.04/34.56 (step @p504 :rule true_elim :premises (@p503)) % 34.04/34.56 (step-pop @p586 :rule scope :premises (@p504)) % 34.04/34.56 (step-pop @p587 :rule scope :premises (@p586)) % 34.04/34.56 (step @p505 :rule process_scope :premises (@p587) :args (@t273)) % 34.04/34.56 (step @p508 :rule and_intro :premises (@p205 @p583)) % 34.04/34.56 (step @p509 :rule modus_ponens :premises (@p508 @p505)) % 34.04/34.56 (step-pop @p588 :rule scope :premises (@p509)) % 34.04/34.56 (step-pop @p589 :rule scope :premises (@p588)) % 34.04/34.56 (step @p510 :rule process_scope :premises (@p589) :args (@t273)) % 34.04/34.56 (step @p513 :rule implies_elim :premises (@p510)) % 34.04/34.56 (step @p514 :rule cnf_and_neg :args (@t302)) % 34.04/34.56 (step @p515 :rule resolution :premises (@p514 @p513) :args (true @t302)) % 34.04/34.56 (step @p516 :rule chain_m_resolution :premises (@p515 @p205 @p496) :args (@t273 @t184 (@list @t185 @t300))) % 34.04/34.56 (step @p517 :rule cnf_or_pos :args (@t278)) % 34.04/34.56 (step @p518 :rule reordering :premises (@p517) :args ((or @t205 @t198 @t180 @t271 @t274 @t277 (not @t278)))) % 34.04/34.56 (step @p519 :rule chain_m_resolution :premises (@p518 @p249 @p240 @p189 @p516 @p487 @p422) :args (@t271 (@list false false false false true false) (@list @t201 @t190 @t148 @t273 @t277 @t278))) % 34.04/34.56 (step @p520 :rule cnf_or_pos :args (@t305)) % 34.04/34.56 (step @p521 :rule reordering :premises (@p520) :args ((or @t205 @t206 @t180 @t304 @t303 (not @t305)))) % 34.04/34.56 (step @p522 :rule chain_m_resolution :premises (@p521 @p249 @p244 @p189 @p519 @p400) :args (@t303 @t292 (@list @t201 @t196 @t148 @t271 @t305))) % 34.04/34.56 (step @p523 :rule refl :args (@t306)) % 34.04/34.56 (step @p524 :rule nary_cong :premises (@p455 @p454 @p523) :args ((or @t296 @t298 @t306))) % 34.04/34.56 (assume-push @p590 @t303) % 34.04/34.56 (assume-push @p591 @t215) % 34.04/34.56 (assume-push @p592 @t297) % 34.04/34.56 (step @p213 :rule evaluate :args (@t188)) % 34.04/34.56 (step @p528 :rule true_intro :premises (@p590)) % 34.04/34.56 (step @p529 :rule cong :premises (@p591 @p195) :args (@t295)) % 34.04/34.56 (step @p463 :rule false_intro :premises (@p198)) % 34.04/34.56 (step @p464 :rule symm :premises (@p463)) % 34.04/34.56 (step @p530 :rule trans :premises (@p464 @p529 @p528)) % 34.04/34.56 (step @p531 false :rule eq_resolve :premises (@p530 @p213)) % 34.04/34.56 (step-pop @p593 :rule scope :premises (@p531)) % 34.04/34.56 (step-pop @p594 :rule scope :premises (@p593)) % 34.04/34.56 (step-pop @p595 :rule scope :premises (@p594)) % 34.04/34.56 (step @p532 :rule process_scope :premises (@p595) :args (false)) % 34.04/34.56 (assume-push @p596 @t215) % 34.04/34.56 (assume-push @p597 @t297) % 34.04/34.56 (assume-push @p598 @t303) % 34.04/34.56 (step @p539 :rule and_intro :premises (@p598 @p596 @p198)) % 34.04/34.56 (step-pop @p599 :rule scope :premises (@p539)) % 34.04/34.56 (step-pop @p600 :rule scope :premises (@p599)) % 34.04/34.56 (step-pop @p601 :rule scope :premises (@p600)) % 34.04/34.56 (step @p540 :rule process_scope :premises (@p601) :args (@t307)) % 34.04/34.56 (step @p544 :rule implies_elim :premises (@p540)) % 34.04/34.56 (step @p545 :rule resolution :premises (@p544 @p532) :args (true @t307)) % 34.04/34.56 (step @p546 :rule not_and :premises (@p545)) % 34.04/34.56 (step @p547 :rule eq_resolve :premises (@p546 @p524)) % 34.04/34.56 (step @p548 :rule reordering :premises (@p547) :args ((or @t295 @t296 @t306))) % 34.04/34.56 (step @p549 false :rule chain_m_resolution :premises (@p548 @p522 @p399 @p198) :args (false (@list false false true) (@list @t303 @t215 @t295))) % 34.04/34.56 ) % 34.04/34.56 % SZS output end Proof % 34.04/34.56 % cvc5 exiting %------------------------------------------------------------------------------