%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC354-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:58:59 AM UTC 2026 % Result : Unsatisfiable 34.02s 34.48s % Output : Proof 34.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC354-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:43:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.74/16.03 --- Run --no-e-matching --full-saturate-quant at 6... % 21.87/22.07 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.86/28.11 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.98/34.15 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.02/34.48 % SZS status Unsatisfiable % 34.02/34.48 % SZS output start Proof % 34.02/34.49 ( % 34.02/34.49 (declare-sort $$unsorted 0) % 34.02/34.49 (declare-const tptp.sk4 $$unsorted) % 34.02/34.49 (declare-const tptp.sk2 $$unsorted) % 34.02/34.49 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.nil $$unsorted) % 34.02/34.49 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.sk1 $$unsorted) % 34.02/34.49 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.skac2 $$unsorted) % 34.02/34.49 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.sk3 $$unsorted) % 34.02/34.49 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.ssList (-> $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skac3 $$unsorted) % 34.02/34.49 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.49 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 34.02/34.49 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 34.02/34.49 (define @t1 () (tptp.ssList tptp.nil)) % 34.02/34.49 (define @t2 () (@var "U" $$unsorted)) % 34.02/34.49 (define @t3 () (tptp.skaf83 @t2)) % 34.02/34.49 (define @t4 () (@list @t2)) % 34.02/34.49 (define @t5 () (tptp.skaf82 @t2)) % 34.02/34.49 (define @t6 () (tptp.skaf81 @t2)) % 34.02/34.49 (define @t7 () (tptp.skaf80 @t2)) % 34.02/34.49 (define @t8 () (tptp.skaf79 @t2)) % 34.02/34.49 (define @t9 () (tptp.skaf78 @t2)) % 34.02/34.49 (define @t10 () (tptp.skaf77 @t2)) % 34.02/34.49 (define @t11 () (tptp.skaf76 @t2)) % 34.02/34.49 (define @t12 () (tptp.skaf75 @t2)) % 34.02/34.49 (define @t13 () (tptp.skaf74 @t2)) % 34.02/34.49 (define @t14 () (tptp.skaf73 @t2)) % 34.02/34.49 (define @t15 () (tptp.skaf72 @t2)) % 34.02/34.49 (define @t16 () (tptp.skaf71 @t2)) % 34.02/34.49 (define @t17 () (tptp.skaf70 @t2)) % 34.02/34.49 (define @t18 () (tptp.skaf69 @t2)) % 34.02/34.49 (define @t19 () (tptp.skaf68 @t2)) % 34.02/34.49 (define @t20 () (tptp.skaf67 @t2)) % 34.02/34.49 (define @t21 () (tptp.skaf66 @t2)) % 34.02/34.49 (define @t22 () (tptp.skaf65 @t2)) % 34.02/34.49 (define @t23 () (tptp.skaf64 @t2)) % 34.02/34.49 (define @t24 () (tptp.skaf63 @t2)) % 34.02/34.49 (define @t25 () (tptp.skaf62 @t2)) % 34.02/34.49 (define @t26 () (tptp.skaf61 @t2)) % 34.02/34.49 (define @t27 () (tptp.skaf60 @t2)) % 34.02/34.49 (define @t28 () (tptp.skaf59 @t2)) % 34.02/34.49 (define @t29 () (tptp.skaf58 @t2)) % 34.02/34.49 (define @t30 () (tptp.skaf57 @t2)) % 34.02/34.49 (define @t31 () (tptp.skaf56 @t2)) % 34.02/34.49 (define @t32 () (tptp.skaf55 @t2)) % 34.02/34.49 (define @t33 () (tptp.skaf54 @t2)) % 34.02/34.49 (define @t34 () (tptp.skaf53 @t2)) % 34.02/34.49 (define @t35 () (tptp.skaf52 @t2)) % 34.02/34.49 (define @t36 () (tptp.skaf51 @t2)) % 34.02/34.49 (define @t37 () (tptp.skaf50 @t2)) % 34.02/34.49 (define @t38 () (tptp.skaf49 @t2)) % 34.02/34.49 (define @t39 () (tptp.skaf44 @t2)) % 34.02/34.49 (define @t40 () (@var "V" $$unsorted)) % 34.02/34.49 (define @t41 () (@list @t2 @t40)) % 34.02/34.49 (define @t42 () (tptp.skaf47 @t2 @t40)) % 34.02/34.49 (define @t43 () (tptp.skaf46 @t2 @t40)) % 34.02/34.49 (define @t44 () (tptp.skaf45 @t2 @t40)) % 34.02/34.49 (define @t45 () (tptp.skaf42 @t2 @t40)) % 34.02/34.49 (define @t46 () (not (tptp.ssItem @t2))) % 34.02/34.49 (define @t47 () (not (tptp.ssList @t2))) % 34.02/34.49 (define @t48 () (tptp.cons @t2 tptp.nil)) % 34.02/34.49 (define @t49 () (tptp.ssItem @t40)) % 34.02/34.49 (define @t50 () (tptp.duplicatefreeP @t2)) % 34.02/34.49 (define @t51 () (tptp.app @t2 tptp.nil)) % 34.02/34.49 (define @t52 () (or @t47 (= @t51 @t2))) % 34.02/34.49 (define @t53 () (forall @t4 @t52)) % 34.02/34.49 (define @t54 () (tptp.app tptp.nil @t2)) % 34.02/34.49 (define @t55 () (or @t47 (= @t54 @t2))) % 34.02/34.49 (define @t56 () (forall @t4 @t55)) % 34.02/34.49 (define @t57 () (= tptp.nil @t2)) % 34.02/34.49 (define @t58 () (tptp.tl @t2)) % 34.02/34.49 (define @t59 () (tptp.hd @t2)) % 34.02/34.49 (define @t60 () (tptp.segmentP tptp.nil @t2)) % 34.02/34.49 (define @t61 () (not @t57)) % 34.02/34.49 (define @t62 () (tptp.rearsegP tptp.nil @t2)) % 34.02/34.49 (define @t63 () (tptp.frontsegP tptp.nil @t2)) % 34.02/34.49 (define @t64 () (tptp.app @t40 @t2)) % 34.02/34.49 (define @t65 () (not (tptp.ssList @t40))) % 34.02/34.49 (define @t66 () (tptp.cons @t2 @t40)) % 34.02/34.49 (define @t67 () (tptp.cyclefreeP @t2)) % 34.02/34.49 (define @t68 () (tptp.equalelemsP @t2)) % 34.02/34.49 (define @t69 () (tptp.strictorderedP @t2)) % 34.02/34.49 (define @t70 () (tptp.totalorderedP @t2)) % 34.02/34.49 (define @t71 () (tptp.strictorderP @t2)) % 34.02/34.49 (define @t72 () (tptp.totalorderP @t2)) % 34.02/34.49 (define @t73 () (tptp.tl @t66)) % 34.02/34.49 (define @t74 () (or @t46 @t65 (= @t73 @t40))) % 34.02/34.49 (define @t75 () (forall @t41 @t74)) % 34.02/34.49 (define @t76 () (tptp.hd @t66)) % 34.02/34.49 (define @t77 () (or @t46 @t65 (= @t76 @t2))) % 34.02/34.49 (define @t78 () (forall @t41 @t77)) % 34.02/34.49 (define @t79 () (= @t40 @t2)) % 34.02/34.49 (define @t80 () (tptp.neq @t40 @t2)) % 34.02/34.49 (define @t81 () (or @t47 @t65 @t80 @t79)) % 34.02/34.49 (define @t82 () (forall @t41 @t81)) % 34.02/34.49 (define @t83 () (not @t49)) % 34.02/34.49 (define @t84 () (tptp.leq @t2 @t40)) % 34.02/34.49 (define @t85 () (tptp.lt @t2 @t40)) % 34.02/34.49 (define @t86 () (not @t85)) % 34.02/34.49 (define @t87 () (tptp.lt @t40 @t2)) % 34.02/34.49 (define @t88 () (not (tptp.gt @t2 @t40))) % 34.02/34.49 (define @t89 () (tptp.gt @t40 @t2)) % 34.02/34.49 (define @t90 () (tptp.leq @t40 @t2)) % 34.02/34.49 (define @t91 () (not (tptp.geq @t2 @t40))) % 34.02/34.49 (define @t92 () (tptp.geq @t40 @t2)) % 34.02/34.49 (define @t93 () (not @t84)) % 34.02/34.49 (define @t94 () (tptp.cons @t3 @t5)) % 34.02/34.49 (define @t95 () (or @t47 (= @t94 @t2) @t57)) % 34.02/34.49 (define @t96 () (forall @t4 @t95)) % 34.02/34.49 (define @t97 () (= @t2 @t40)) % 34.02/34.49 (define @t98 () (not @t97)) % 34.02/34.49 (define @t99 () (tptp.cons @t40 @t2)) % 34.02/34.49 (define @t100 () (not (tptp.neq @t2 @t40))) % 34.02/34.49 (define @t101 () (or @t98 @t100 @t65 @t47)) % 34.02/34.49 (define @t102 () (forall @t41 @t101)) % 34.02/34.49 (define @t103 () (tptp.app @t2 @t40)) % 34.02/34.49 (define @t104 () (= @t103 tptp.nil)) % 34.02/34.49 (define @t105 () (not @t104)) % 34.02/34.49 (define @t106 () (= tptp.nil @t40)) % 34.02/34.49 (define @t107 () (tptp.app @t48 @t40)) % 34.02/34.49 (define @t108 () (or @t46 @t65 (= @t107 @t66))) % 34.02/34.49 (define @t109 () (forall @t41 @t108)) % 34.02/34.49 (define @t110 () (tptp.hd @t40)) % 34.02/34.49 (define @t111 () (tptp.strictorderedP @t40)) % 34.02/34.49 (define @t112 () (tptp.strictorderedP @t66)) % 34.02/34.49 (define @t113 () (not @t112)) % 34.02/34.49 (define @t114 () (tptp.totalorderedP @t40)) % 34.02/34.49 (define @t115 () (tptp.totalorderedP @t66)) % 34.02/34.49 (define @t116 () (not @t115)) % 34.02/34.49 (define @t117 () (not (tptp.segmentP @t2 @t40))) % 34.02/34.49 (define @t118 () (not (tptp.rearsegP @t2 @t40))) % 34.02/34.49 (define @t119 () (not (tptp.frontsegP @t2 @t40))) % 34.02/34.49 (define @t120 () (not @t90)) % 34.02/34.49 (define @t121 () (tptp.tl @t40)) % 34.02/34.49 (define @t122 () (tptp.lt @t2 @t110)) % 34.02/34.49 (define @t123 () (tptp.leq @t2 @t110)) % 34.02/34.49 (define @t124 () (@var "W" $$unsorted)) % 34.02/34.49 (define @t125 () (tptp.app @t124 @t2)) % 34.02/34.49 (define @t126 () (not (tptp.ssList @t124))) % 34.02/34.49 (define @t127 () (@list @t2 @t40 @t124)) % 34.02/34.49 (define @t128 () (tptp.app @t2 @t124)) % 34.02/34.49 (define @t129 () (tptp.cons @t40 @t124)) % 34.02/34.49 (define @t130 () (tptp.cons @t124 @t2)) % 34.02/34.49 (define @t131 () (not (tptp.ssItem @t124))) % 34.02/34.49 (define @t132 () (not (tptp.memberP @t2 @t40))) % 34.02/34.49 (define @t133 () (not (= @t103 @t124))) % 34.02/34.49 (define @t134 () (not @t106)) % 34.02/34.49 (define @t135 () (or @t61 @t134 @t65 @t47 @t104)) % 34.02/34.49 (define @t136 () (forall @t41 @t135)) % 34.02/34.49 (define @t137 () (tptp.lt @t2 @t124)) % 34.02/34.49 (define @t138 () (not (tptp.lt @t40 @t124))) % 34.02/34.49 (define @t139 () (tptp.app @t124 @t40)) % 34.02/34.49 (define @t140 () (= @t40 @t124)) % 34.02/34.49 (define @t141 () (= @t2 @t124)) % 34.02/34.49 (define @t142 () (tptp.memberP @t40 @t124)) % 34.02/34.49 (define @t143 () (@var "X" $$unsorted)) % 34.02/34.49 (define @t144 () (not (tptp.ssList @t143))) % 34.02/34.49 (define @t145 () (tptp.cons @t124 @t143)) % 34.02/34.49 (define @t146 () (not (= @t66 @t145))) % 34.02/34.49 (define @t147 () (@list @t2 @t40 @t124 @t143)) % 34.02/34.49 (define @t148 () (not (tptp.frontsegP @t66 @t145))) % 34.02/34.49 (define @t149 () (tptp.app @t2 @t129)) % 34.02/34.49 (define @t150 () (not (tptp.ssItem @t143))) % 34.02/34.49 (define @t151 () (@var "Y" $$unsorted)) % 34.02/34.49 (define @t152 () (not (tptp.ssList @t151))) % 34.02/34.49 (define @t153 () (@list @t2 @t40 @t124 @t143 @t151)) % 34.02/34.49 (define @t154 () (tptp.lt @t40 @t143)) % 34.02/34.49 (define @t155 () (@var "Z" $$unsorted)) % 34.02/34.49 (define @t156 () (not (tptp.ssList @t155))) % 34.02/34.49 (define @t157 () (not (= (tptp.app @t149 (tptp.cons @t143 @t151)) @t155))) % 34.02/34.49 (define @t158 () (@list @t2 @t40 @t124 @t143 @t151 @t155)) % 34.02/34.49 (define @t159 () (tptp.leq @t40 @t143)) % 34.02/34.49 (define @t160 () (tptp.ssList tptp.sk3)) % 34.02/34.49 (define @t161 () (tptp.ssList tptp.sk4)) % 34.02/34.49 (define @t162 () (tptp.neq tptp.sk2 tptp.nil)) % 34.02/34.49 (define @t163 () (or @t162 @t162)) % 34.02/34.49 (define @t164 () (tptp.neq tptp.sk4 tptp.nil)) % 34.02/34.49 (define @t165 () (not @t164)) % 34.02/34.49 (define @t166 () (tptp.neq tptp.nil tptp.sk4)) % 34.02/34.49 (define @t167 () (not @t166)) % 34.02/34.49 (define @t168 () (@var "B" $$unsorted)) % 34.02/34.49 (define @t169 () (tptp.hd tptp.sk4)) % 34.02/34.49 (define @t170 () (not (= @t169 @t168))) % 34.02/34.49 (define @t171 () (@var "A" $$unsorted)) % 34.02/34.49 (define @t172 () (tptp.cons @t168 tptp.nil)) % 34.02/34.49 (define @t173 () (not (= @t172 @t171))) % 34.02/34.49 (define @t174 () (not (tptp.ssItem @t168))) % 34.02/34.49 (define @t175 () (= tptp.sk3 @t171)) % 34.02/34.49 (define @t176 () (not (tptp.ssList @t171))) % 34.02/34.49 (define @t177 () (@list @t171 @t168)) % 34.02/34.49 (define @t178 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 34.02/34.49 (define @t179 () (not @t178)) % 34.02/34.49 (define @t180 () (or @t176 @t175 @t174 @t173 @t170 @t167 @t165)) % 34.02/34.49 (define @t181 () (forall @t177 @t180)) % 34.02/34.49 (define @t182 () (or @t179 @t165)) % 34.02/34.49 (define @t183 () (tptp.app tptp.nil tptp.nil)) % 34.02/34.49 (define @t184 () (= tptp.nil @t183)) % 34.02/34.49 (define @t185 () (not @t1)) % 34.02/34.49 (define @t186 () (or @t185 @t184)) % 34.02/34.49 (define @t187 () (not (= tptp.nil tptp.nil))) % 34.02/34.49 (define @t188 () (or @t187 @t185 @t184)) % 34.02/34.49 (define @t189 () (= tptp.nil (tptp.app tptp.nil @t40))) % 34.02/34.49 (define @t190 () (@list @t40)) % 34.02/34.49 (define @t191 () (or @t134 @t134 @t65 @t189)) % 34.02/34.49 (define @t192 () (or @t134 @t65 @t189)) % 34.02/34.49 (define @t193 () (forall @t190 @t192)) % 34.02/34.49 (define @t194 () (or @t185 @t193)) % 34.02/34.49 (define @t195 () (or @t185 @t192)) % 34.02/34.49 (define @t196 () (or @t134 @t65 @t185 @t189)) % 34.02/34.49 (define @t197 () (or @t187 @t134 @t65 @t185 @t189)) % 34.02/34.49 (define @t198 () (= tptp.nil @t103)) % 34.02/34.49 (define @t199 () (or @t61 @t61 @t134 @t65 @t47 @t198)) % 34.02/34.49 (define @t200 () (or @t61 @t134 @t65 @t47 @t198)) % 34.02/34.49 (define @t201 () (forall @t4 @t200)) % 34.02/34.49 (define @t202 () (forall @t190 @t201)) % 34.02/34.49 (define @t203 () (@list @t40 @t2)) % 34.02/34.49 (define @t204 () (forall @t203 @t200)) % 34.02/34.49 (define @t205 () (@list false)) % 34.02/34.49 (define @t206 () (tptp.segmentP tptp.sk4 tptp.sk3)) % 34.02/34.49 (define @t207 () (not @t206)) % 34.02/34.49 (define @t208 () (@list tptp.sk3)) % 34.02/34.49 (define @t209 () (= tptp.sk3 (tptp.app tptp.sk3 tptp.nil))) % 34.02/34.49 (define @t210 () (not @t160)) % 34.02/34.49 (define @t211 () (or @t210 @t209)) % 34.02/34.49 (define @t212 () (@list false false)) % 34.02/34.49 (define @t213 () (tptp.app tptp.nil tptp.sk3)) % 34.02/34.49 (define @t214 () (= tptp.sk3 @t213)) % 34.02/34.49 (define @t215 () (or @t210 @t214)) % 34.02/34.49 (define @t216 () (@list tptp.sk4)) % 34.02/34.49 (define @t217 () (not (tptp.neq @t40 @t40))) % 34.02/34.49 (define @t218 () (not (= @t40 @t40))) % 34.02/34.49 (define @t219 () (or @t218 @t217 @t65 @t65)) % 34.02/34.49 (define @t220 () (or @t98 @t98 @t100 @t65 @t47)) % 34.02/34.49 (define @t221 () (forall @t4 @t101)) % 34.02/34.49 (define @t222 () (forall @t190 @t221)) % 34.02/34.49 (define @t223 () (forall @t203 @t101)) % 34.02/34.49 (define @t224 () (not @t161)) % 34.02/34.49 (define @t225 () (tptp.neq tptp.sk4 tptp.sk4)) % 34.02/34.49 (define @t226 () (not @t225)) % 34.02/34.49 (define @t227 () (or @t226 @t224)) % 34.02/34.49 (define @t228 () (= tptp.nil tptp.sk4)) % 34.02/34.49 (define @t229 () (not @t228)) % 34.02/34.49 (define @t230 () (= false true)) % 34.02/34.49 (define @t231 () (tptp.skaf82 tptp.sk4)) % 34.02/34.49 (define @t232 () (tptp.skaf83 tptp.sk4)) % 34.02/34.49 (define @t233 () (tptp.cons @t232 @t231)) % 34.02/34.49 (define @t234 () (= tptp.sk4 @t233)) % 34.02/34.49 (define @t235 () (or @t224 @t234 @t228)) % 34.02/34.49 (define @t236 () (@list false true false)) % 34.02/34.49 (define @t237 () (tptp.ssItem @t169)) % 34.02/34.49 (define @t238 () (or @t224 @t237 @t228)) % 34.02/34.49 (define @t239 () (tptp.cons @t169 tptp.nil)) % 34.02/34.49 (define @t240 () (tptp.ssList @t239)) % 34.02/34.49 (define @t241 () (not @t237)) % 34.02/34.49 (define @t242 () (or @t241 @t185 @t240)) % 34.02/34.49 (define @t243 () (@list false false false)) % 34.02/34.49 (define @t244 () (or @t224 @t185 @t166 (= tptp.sk4 tptp.nil))) % 34.02/34.49 (define @t245 () (forall @t41 (or @t47 @t65 @t80 @t97))) % 34.02/34.49 (define @t246 () (or @t224 @t185 @t166 @t228)) % 34.02/34.49 (define @t247 () (and @t164 @t228 @t167)) % 34.02/34.49 (define @t248 () (@list false false false false false)) % 34.02/34.49 (define @t249 () (= tptp.sk3 @t239)) % 34.02/34.49 (define @t250 () (not @t240)) % 34.02/34.49 (define @t251 () (or @t250 @t249 @t241)) % 34.02/34.49 (define @t252 () (not (= @t169 @t169))) % 34.02/34.49 (define @t253 () (or @t250 @t249 @t241 @t252)) % 34.02/34.49 (define @t254 () (not (= @t168 @t169))) % 34.02/34.49 (define @t255 () (= tptp.sk3 @t172)) % 34.02/34.49 (define @t256 () (not (tptp.ssList @t172))) % 34.02/34.49 (define @t257 () (or @t254 @t256 @t255 @t174 @t254)) % 34.02/34.49 (define @t258 () (@list @t168)) % 34.02/34.49 (define @t259 () (or @t256 @t255 @t174 @t254)) % 34.02/34.49 (define @t260 () (not (= @t172 @t172))) % 34.02/34.49 (define @t261 () (or @t256 @t255 @t174 @t260 @t254)) % 34.02/34.49 (define @t262 () (not (= @t171 @t172))) % 34.02/34.49 (define @t263 () (or @t262 @t176 @t175 @t174 @t262 @t254)) % 34.02/34.49 (define @t264 () (@list @t171)) % 34.02/34.49 (define @t265 () (or @t176 @t175 @t174 @t262 @t254)) % 34.02/34.49 (define @t266 () (forall @t264 @t265)) % 34.02/34.49 (define @t267 () (forall @t258 @t266)) % 34.02/34.49 (define @t268 () (forall (@list @t168 @t171) @t265)) % 34.02/34.49 (define @t269 () (forall @t177 @t265)) % 34.02/34.49 (define @t270 () (or @t167 @t165 @t269)) % 34.02/34.49 (define @t271 () (or @t167 @t165 @t265)) % 34.02/34.49 (define @t272 () (or @t176 @t175 @t174 @t262 @t254 @t167 @t165)) % 34.02/34.49 (define @t273 () (@list @t232 @t231)) % 34.02/34.49 (define @t274 () (tptp.tl @t233)) % 34.02/34.49 (define @t275 () (= @t231 @t274)) % 34.02/34.49 (define @t276 () (tptp.ssList @t231)) % 34.02/34.49 (define @t277 () (not @t276)) % 34.02/34.49 (define @t278 () (tptp.ssItem @t232)) % 34.02/34.49 (define @t279 () (not @t278)) % 34.02/34.49 (define @t280 () (or @t279 @t277 @t275)) % 34.02/34.49 (define @t281 () (tptp.hd @t233)) % 34.02/34.49 (define @t282 () (= @t232 @t281)) % 34.02/34.49 (define @t283 () (or @t279 @t277 @t282)) % 34.02/34.49 (define @t284 () (tptp.cons @t232 tptp.nil)) % 34.02/34.49 (define @t285 () (tptp.app @t284 @t231)) % 34.02/34.49 (define @t286 () (= @t233 @t285)) % 34.02/34.49 (define @t287 () (or @t279 @t277 @t286)) % 34.02/34.49 (define @t288 () (tptp.tl tptp.sk4)) % 34.02/34.49 (define @t289 () (tptp.ssList @t288)) % 34.02/34.49 (define @t290 () (or @t224 @t289 @t228)) % 34.02/34.49 (define @t291 () (tptp.segmentP tptp.sk3 tptp.sk3)) % 34.02/34.49 (define @t292 () (or @t210 @t291)) % 34.02/34.49 (define @t293 () (tptp.segmentP (tptp.app @t213 @t288) tptp.sk3)) % 34.02/34.49 (define @t294 () (not @t289)) % 34.02/34.49 (define @t295 () (not @t291)) % 34.02/34.49 (define @t296 () (or @t295 @t294 @t185 @t210 @t210 @t293)) % 34.02/34.49 (define @t297 () (not @t293)) % 34.02/34.49 (define @t298 () (not @t286)) % 34.02/34.49 (define @t299 () (not @t282)) % 34.02/34.49 (define @t300 () (not @t275)) % 34.02/34.49 (define @t301 () (not @t234)) % 34.02/34.49 (define @t302 () (not @t214)) % 34.02/34.49 (define @t303 () (not @t209)) % 34.02/34.49 (define @t304 () (not @t249)) % 34.02/34.49 (define @t305 () (not @t184)) % 34.02/34.49 (define @t306 () (and @t293 @t214 @t209 @t249 @t184 @t234 @t282 @t275 @t286 @t207)) % 34.02/34.49 (assume @p1 (tptp.equalelemsP tptp.nil)) % 34.02/34.49 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 34.02/34.49 (assume @p3 (tptp.strictorderedP tptp.nil)) % 34.02/34.49 (assume @p4 (tptp.totalorderedP tptp.nil)) % 34.02/34.49 (assume @p5 (tptp.strictorderP tptp.nil)) % 34.02/34.49 (assume @p6 (tptp.totalorderP tptp.nil)) % 34.02/34.49 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 34.02/34.49 (assume @p8 @t1) % 34.02/34.49 (assume @p9 (tptp.ssItem tptp.skac3)) % 34.02/34.49 (assume @p10 (tptp.ssItem tptp.skac2)) % 34.02/34.49 (assume @p11 (not (tptp.singletonP tptp.nil))) % 34.02/34.49 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 34.02/34.49 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 34.02/34.49 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 34.02/34.49 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 34.02/34.49 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 34.02/34.49 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 34.02/34.49 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 34.02/34.49 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 34.02/34.49 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 34.02/34.49 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 34.02/34.49 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 34.02/34.49 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 34.02/34.49 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 34.02/34.49 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 34.02/34.49 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 34.02/34.49 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 34.02/34.49 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 34.02/34.49 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 34.02/34.49 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 34.02/34.49 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 34.02/34.49 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 34.02/34.49 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 34.02/34.49 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 34.02/34.49 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 34.02/34.49 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 34.02/34.49 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 34.02/34.49 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 34.02/34.49 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 34.02/34.49 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 34.02/34.49 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 34.02/34.49 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 34.02/34.49 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 34.02/34.49 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 34.02/34.49 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 34.02/34.49 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 34.02/34.49 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 34.02/34.49 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 34.02/34.49 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 34.02/34.49 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 34.02/34.49 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 34.02/34.49 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 34.02/34.49 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 34.02/34.49 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 34.02/34.49 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 34.02/34.49 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 34.02/34.49 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 34.02/34.49 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 34.02/34.49 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 34.02/34.49 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 34.02/34.49 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 34.02/34.49 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 34.02/34.49 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 34.02/34.49 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 34.02/34.49 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 34.02/34.49 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 34.02/34.49 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 34.02/34.49 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 34.02/34.49 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 34.02/34.49 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 34.02/34.49 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 34.02/34.49 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 34.02/34.49 (assume @p73 @t53) % 34.02/34.49 (assume @p74 @t56) % 34.02/34.49 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t58) @t57))) % 34.02/34.49 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t59) @t57))) % 34.02/34.49 (assume @p77 (forall @t4 (or @t61 @t47 @t60))) % 34.02/34.49 (assume @p78 (forall @t4 (or (not @t60) @t47 @t57))) % 34.02/34.49 (assume @p79 (forall @t4 (or @t61 @t47 @t62))) % 34.02/34.49 (assume @p80 (forall @t4 (or (not @t62) @t47 @t57))) % 34.02/34.49 (assume @p81 (forall @t4 (or @t61 @t47 @t63))) % 34.02/34.49 (assume @p82 (forall @t4 (or (not @t63) @t47 @t57))) % 34.02/34.49 (assume @p83 (forall @t41 (or @t47 @t65 (tptp.ssList @t64)))) % 34.02/34.49 (assume @p84 (forall @t41 (or @t46 @t65 (tptp.ssList @t66)))) % 34.02/34.49 (assume @p85 (forall @t4 (or @t47 @t67 (tptp.leq @t37 @t38)))) % 34.02/34.49 (assume @p86 (forall @t4 (or @t47 @t67 (tptp.leq @t38 @t37)))) % 34.02/34.49 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t68))) % 34.02/34.49 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t69))) % 34.02/34.49 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t70))) % 34.02/34.49 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t71))) % 34.02/34.49 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t71))) % 34.02/34.49 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t72))) % 34.02/34.49 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t72))) % 34.02/34.49 (assume @p94 @t75) % 34.02/34.49 (assume @p95 @t78) % 34.02/34.49 (assume @p96 (forall @t41 (or (not (= @t66 tptp.nil)) @t46 @t65))) % 34.02/34.49 (assume @p97 (forall @t41 (or (not (= @t66 @t40)) @t46 @t65))) % 34.02/34.49 (assume @p98 @t82) % 34.02/34.49 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 34.02/34.49 (assume @p100 (forall @t41 (or @t46 @t83 @t80 @t79))) % 34.02/34.49 (assume @p101 (forall @t41 (or @t86 @t83 @t46 @t84))) % 34.02/34.49 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t59 @t58) @t2) @t57))) % 34.02/34.49 (assume @p103 (forall @t41 (or @t88 @t83 @t46 @t87))) % 34.02/34.49 (assume @p104 (forall @t41 (or @t86 @t46 @t83 @t89))) % 34.02/34.49 (assume @p105 (forall @t41 (or @t91 @t83 @t46 @t90))) % 34.02/34.49 (assume @p106 (forall @t41 (or @t93 @t46 @t83 @t92))) % 34.02/34.49 (assume @p107 @t96) % 34.02/34.49 (assume @p108 (forall @t41 (or @t88 (not @t89) @t46 @t83))) % 34.02/34.49 (assume @p109 (forall @t41 (or @t98 @t86 @t83 @t46))) % 34.02/34.49 (assume @p110 (forall @t41 (or @t61 @t47 @t83 (tptp.strictorderedP @t99)))) % 34.02/34.49 (assume @p111 (forall @t41 (or @t61 @t47 @t83 (tptp.totalorderedP @t99)))) % 34.02/34.49 (assume @p112 (forall @t41 (or @t86 (not @t87) @t46 @t83))) % 34.02/34.49 (assume @p113 @t102) % 34.02/34.49 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t65 (tptp.singletonP @t40)))) % 34.02/34.49 (assume @p115 (forall @t41 (or @t98 @t100 @t83 @t46))) % 34.02/34.49 (assume @p116 (forall @t41 (or @t105 @t65 @t47 @t57))) % 34.02/34.49 (assume @p117 (forall @t41 (or @t105 @t65 @t47 @t106))) % 34.02/34.49 (assume @p118 @t109) % 34.02/34.49 (assume @p119 (forall @t41 (or @t93 @t83 @t46 @t85 @t97))) % 34.02/34.49 (assume @p120 (forall @t41 (or @t47 @t65 @t106 (= (tptp.hd @t64) @t110)))) % 34.02/34.49 (assume @p121 (forall @t41 (or @t113 @t65 @t46 @t111 @t106))) % 34.02/34.49 (assume @p122 (forall @t41 (or @t116 @t65 @t46 @t114 @t106))) % 34.02/34.49 (assume @p123 (forall @t41 (or @t91 (not @t92) @t46 @t83 @t79))) % 34.02/34.49 (assume @p124 (forall @t41 (or @t117 (not (tptp.segmentP @t40 @t2)) @t47 @t65 @t79))) % 34.02/34.49 (assume @p125 (forall @t41 (or @t118 (not (tptp.rearsegP @t40 @t2)) @t47 @t65 @t79))) % 34.02/34.49 (assume @p126 (forall @t41 (or @t119 (not (tptp.frontsegP @t40 @t2)) @t47 @t65 @t79))) % 34.02/34.49 (assume @p127 (forall @t41 (or @t93 @t120 @t46 @t83 @t79))) % 34.02/34.49 (assume @p128 (forall @t41 (or @t118 @t65 @t47 (= (tptp.app @t43 @t40) @t2)))) % 34.02/34.49 (assume @p129 (forall @t41 (or @t119 @t65 @t47 (= (tptp.app @t40 @t44) @t2)))) % 34.02/34.49 (assume @p130 (forall @t41 (or @t47 @t65 @t106 (= (tptp.tl @t64) (tptp.app @t121 @t2))))) % 34.02/34.49 (assume @p131 (forall @t41 (or @t113 @t65 @t46 @t122 @t106))) % 34.02/34.49 (assume @p132 (forall @t41 (or @t116 @t65 @t46 @t123 @t106))) % 34.02/34.49 (assume @p133 (forall @t127 (or @t118 @t126 @t65 @t47 (tptp.rearsegP @t125 @t40)))) % 34.02/34.49 (assume @p134 (forall @t127 (or @t119 @t126 @t65 @t47 (tptp.frontsegP @t128 @t40)))) % 34.02/34.49 (assume @p135 (forall @t127 (or @t98 @t126 @t83 @t46 (tptp.memberP @t129 @t2)))) % 34.02/34.49 (assume @p136 (forall @t127 (or @t132 @t47 @t131 @t83 (tptp.memberP @t130 @t40)))) % 34.02/34.49 (assume @p137 (forall @t127 (or @t132 @t126 @t47 @t83 (tptp.memberP @t128 @t40)))) % 34.02/34.49 (assume @p138 (forall @t127 (or @t132 @t47 @t126 @t83 (tptp.memberP @t125 @t40)))) % 34.02/34.49 (assume @p139 (forall @t4 (or @t47 @t68 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 34.02/34.49 (assume @p140 (forall @t127 (or @t133 @t47 @t65 @t126 (tptp.rearsegP @t124 @t40)))) % 34.02/34.49 (assume @p141 (forall @t127 (or @t133 @t65 @t47 @t126 (tptp.frontsegP @t124 @t2)))) % 34.02/34.49 (assume @p142 @t136) % 34.02/34.49 (assume @p143 (forall @t127 (or @t88 (not (tptp.gt @t40 @t124)) @t131 @t83 @t46 (tptp.gt @t2 @t124)))) % 34.02/34.49 (assume @p144 (forall @t127 (or @t93 @t138 @t131 @t83 @t46 @t137))) % 34.02/34.49 (assume @p145 (forall @t127 (or @t91 (not (tptp.geq @t40 @t124)) @t131 @t83 @t46 (tptp.geq @t2 @t124)))) % 34.02/34.49 (assume @p146 (forall @t127 (or @t47 @t65 @t126 (= (tptp.app @t139 @t2) (tptp.app @t124 @t64))))) % 34.02/34.49 (assume @p147 (forall @t127 (or (not (= @t103 @t128)) @t65 @t47 @t126 @t140))) % 34.02/34.49 (assume @p148 (forall @t127 (or (not (= @t103 @t139)) @t47 @t65 @t126 @t141))) % 34.02/34.49 (assume @p149 (forall @t127 (or @t117 (not (tptp.segmentP @t40 @t124)) @t126 @t65 @t47 (tptp.segmentP @t2 @t124)))) % 34.02/34.49 (assume @p150 (forall @t127 (or @t118 (not (tptp.rearsegP @t40 @t124)) @t126 @t65 @t47 (tptp.rearsegP @t2 @t124)))) % 34.02/34.49 (assume @p151 (forall @t127 (or @t119 (not (tptp.frontsegP @t40 @t124)) @t126 @t65 @t47 (tptp.frontsegP @t2 @t124)))) % 34.02/34.49 (assume @p152 (forall @t127 (or @t86 @t138 @t131 @t83 @t46 @t137))) % 34.02/34.49 (assume @p153 (forall @t127 (or @t93 (not (tptp.leq @t40 @t124)) @t131 @t83 @t46 (tptp.leq @t2 @t124)))) % 34.02/34.49 (assume @p154 (forall @t127 (or @t46 @t65 @t126 (= (tptp.cons @t2 (tptp.app @t40 @t124)) (tptp.app @t66 @t124))))) % 34.02/34.49 (assume @p155 (forall @t127 (or (not (tptp.memberP @t103 @t124)) @t65 @t47 @t131 @t142 (tptp.memberP @t2 @t124)))) % 34.02/34.49 (assume @p156 (forall @t41 (or (not @t123) (not @t114) @t65 @t46 @t115 @t106))) % 34.02/34.49 (assume @p157 (forall @t41 (or (not @t122) (not @t111) @t65 @t46 @t112 @t106))) % 34.02/34.49 (assume @p158 (forall @t127 (or (not (tptp.memberP @t66 @t124)) @t65 @t46 @t131 @t142 (= @t124 @t2)))) % 34.02/34.49 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 34.02/34.49 (assume @p160 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 34.02/34.49 (assume @p161 (forall @t4 (or @t47 @t70 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 34.02/34.49 (assume @p162 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 34.02/34.49 (assume @p163 (forall @t4 (or @t47 @t72 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 34.02/34.49 (assume @p164 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 34.02/34.49 (assume @p165 (forall @t41 (or @t117 @t65 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 34.02/34.49 (assume @p166 (forall @t41 (or @t132 @t83 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 34.02/34.49 (assume @p167 (forall @t147 (or @t146 @t131 @t46 @t144 @t65 @t141))) % 34.02/34.49 (assume @p168 (forall @t147 (or @t146 @t131 @t46 @t144 @t65 (= @t143 @t40)))) % 34.02/34.49 (assume @p169 (forall @t147 (or @t117 @t126 @t144 @t65 @t47 (tptp.segmentP (tptp.app (tptp.app @t143 @t2) @t124) @t40)))) % 34.02/34.49 (assume @p170 (forall @t147 (or (not (= (tptp.app @t103 @t124) @t143)) @t126 @t47 @t65 @t144 (tptp.segmentP @t143 @t40)))) % 34.02/34.49 (assume @p171 (forall @t147 (or @t148 @t144 @t65 @t131 @t46 (tptp.frontsegP @t40 @t143)))) % 34.02/34.49 (assume @p172 (forall @t147 (or (not (= @t149 @t143)) @t126 @t47 @t83 @t144 (tptp.memberP @t143 @t40)))) % 34.02/34.49 (assume @p173 (forall @t147 (or @t148 @t144 @t65 @t131 @t46 @t141))) % 34.02/34.49 (assume @p174 (forall @t41 (or (not (= @t58 @t121)) (not (= @t59 @t110)) @t47 @t65 @t106 @t97 @t57))) % 34.02/34.49 (assume @p175 (forall @t147 (or @t119 (not (= @t124 @t143)) @t65 @t47 @t150 @t131 (tptp.frontsegP @t130 (tptp.cons @t143 @t40))))) % 34.02/34.49 (assume @p176 (forall @t153 (or (not (= (tptp.app @t149 (tptp.cons @t40 @t143)) @t151)) @t144 @t126 @t47 @t83 (not (tptp.duplicatefreeP @t151)) @t152))) % 34.02/34.49 (assume @p177 (forall @t153 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t145)) @t151)) @t144 @t47 @t131 @t83 (not (tptp.equalelemsP @t151)) @t152 @t140))) % 34.02/34.49 (assume @p178 (forall @t158 (or @t157 @t152 @t126 @t47 @t150 @t83 (not (tptp.strictorderedP @t155)) @t156 @t154))) % 34.02/34.49 (assume @p179 (forall @t158 (or @t157 @t152 @t126 @t47 @t150 @t83 (not (tptp.totalorderedP @t155)) @t156 @t159))) % 34.02/34.49 (assume @p180 (forall @t158 (or @t157 @t152 @t126 @t47 @t150 @t83 (not (tptp.strictorderP @t155)) @t156 @t154 (tptp.lt @t143 @t40)))) % 34.02/34.49 (assume @p181 (forall @t158 (or @t157 @t152 @t126 @t47 @t150 @t83 (not (tptp.totalorderP @t155)) @t156 @t159 (tptp.leq @t143 @t40)))) % 34.02/34.49 (assume @p182 (forall @t158 (or @t93 @t120 (not (= (tptp.app (tptp.app @t124 (tptp.cons @t2 @t143)) (tptp.cons @t40 @t151)) @t155)) @t152 @t144 @t126 @t83 @t46 (not (tptp.cyclefreeP @t155)) @t156))) % 34.02/34.49 (assume @p183 (tptp.ssList tptp.sk1)) % 34.02/34.49 (assume @p184 (tptp.ssList tptp.sk2)) % 34.02/34.49 (assume @p185 @t160) % 34.02/34.49 (assume @p186 @t161) % 34.02/34.49 (assume @p187 (= tptp.sk2 tptp.sk4)) % 34.02/34.49 (assume @p188 (= tptp.sk1 tptp.sk3)) % 34.02/34.49 (assume @p189 @t163) % 34.02/34.49 (assume @p190 (or @t162 @t165)) % 34.02/34.49 (assume @p191 (forall @t177 (or @t176 @t175 @t174 @t173 @t170 @t167 @t162))) % 34.02/34.49 (assume @p192 (or @t179 @t162)) % 34.02/34.49 (assume @p193 @t181) % 34.02/34.49 (assume @p194 @t182) % 34.02/34.49 (step @p195 :rule aci_norm :args ((= (or @t185 @t186) @t186))) % 34.02/34.49 (step @p196 :rule aci_norm :args ((= (or false @t185 @t184) @t186))) % 34.02/34.49 (step @p197 :rule refl :args (@t184)) % 34.02/34.49 (step @p198 :rule refl :args (@t185)) % 34.02/34.49 (step @p199 :rule evaluate :args ((not true))) % 34.02/34.49 (step @p200 :rule eq-refl :args (tptp.nil)) % 34.02/34.49 (step @p201 :rule cong :premises (@p200) :args (@t187)) % 34.02/34.49 (step @p202 :rule trans :premises (@p201 @p199)) % 34.02/34.49 (step @p203 :rule nary_cong :premises (@p202 @p198 @p197) :args (@t188)) % 34.02/34.49 (step @p204 :rule trans :premises (@p203 @p196)) % 34.02/34.49 (step @p205 :rule quant-var-elim-eq :args ((= (forall @t190 (or (not (= @t40 tptp.nil)) @t134 @t65 @t189)) @t188))) % 34.02/34.49 (step @p206 :rule refl :args (@t189)) % 34.02/34.49 (step @p207 :rule refl :args (@t65)) % 34.02/34.49 (step @p208 :rule refl :args (@t134)) % 34.02/34.49 (step @p209 :rule eq-symm :args (tptp.nil @t40)) % 34.02/34.49 (step @p210 :rule cong :premises (@p209) :args (@t134)) % 34.02/34.49 (step @p211 :rule nary_cong :premises (@p210 @p208 @p207 @p206) :args (@t191)) % 34.02/34.49 (step @p212 :rule aci_norm :args ((= @t192 @t191))) % 34.02/34.49 (step @p213 :rule trans :premises (@p212 @p211)) % 34.02/34.49 (step @p214 :rule cong :premises (@p213) :args (@t193)) % 34.02/34.49 (step @p215 :rule trans :premises (@p214 @p205)) % 34.02/34.49 (step @p216 :rule trans :premises (@p215 @p204)) % 34.02/34.49 (step @p217 :rule nary_cong :premises (@p198 @p216) :args (@t194)) % 34.02/34.49 (step @p218 :rule trans :premises (@p217 @p195)) % 34.02/34.49 (step @p219 :rule quant-miniscope-or :args ((= (forall @t190 @t195) @t194))) % 34.02/34.49 (step @p220 :rule aci_norm :args ((= @t196 @t195))) % 34.02/34.49 (step @p221 :rule cong :premises (@p220) :args ((forall @t190 @t196))) % 34.02/34.49 (step @p222 :rule trans :premises (@p221 @p219)) % 34.02/34.49 (step @p223 :rule trans :premises (@p222 @p218)) % 34.02/34.49 (step @p224 :rule aci_norm :args ((= (or false @t134 @t65 @t185 @t189) @t196))) % 34.02/34.49 (step @p225 :rule refl :args (@t189)) % 34.02/34.49 (step @p226 :rule refl :args (@t65)) % 34.02/34.49 (step @p227 :rule refl :args (@t134)) % 34.02/34.49 (step @p228 :rule nary_cong :premises (@p202 @p227 @p226 @p198 @p225) :args (@t197)) % 34.02/34.49 (step @p229 :rule trans :premises (@p228 @p224)) % 34.02/34.49 (step @p230 :rule cong :premises (@p229) :args ((forall @t190 @t197))) % 34.02/34.49 (step @p231 :rule trans :premises (@p230 @p223)) % 34.02/34.49 (step @p232 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t61 @t134 @t65 @t47 @t198)) @t197))) % 34.02/34.49 (step @p233 :rule refl :args (@t198)) % 34.02/34.49 (step @p234 :rule refl :args (@t47)) % 34.02/34.49 (step @p235 :rule refl :args (@t61)) % 34.02/34.49 (step @p236 :rule eq-symm :args (tptp.nil @t2)) % 34.02/34.49 (step @p237 :rule cong :premises (@p236) :args (@t61)) % 34.02/34.49 (step @p238 :rule nary_cong :premises (@p237 @p235 @p208 @p207 @p234 @p233) :args (@t199)) % 34.02/34.49 (step @p239 :rule aci_norm :args ((= @t200 @t199))) % 34.02/34.49 (step @p240 :rule trans :premises (@p239 @p238)) % 34.02/34.49 (step @p241 :rule cong :premises (@p240) :args (@t201)) % 34.02/34.49 (step @p242 :rule trans :premises (@p241 @p232)) % 34.02/34.49 (step @p243 :rule cong :premises (@p242) :args (@t202)) % 34.02/34.49 (step @p244 :rule quant-merge-prenex :args ((= @t202 @t204))) % 34.02/34.49 (step @p245 :rule symm :premises (@p244)) % 34.02/34.49 (step @p246 :rule quant_var_reordering :args ((= (forall @t41 @t200) @t204))) % 34.02/34.49 (step @p247 :rule trans :premises (@p246 @p245 @p243)) % 34.02/34.49 (step @p248 :rule trans :premises (@p247 @p231)) % 34.02/34.49 (step @p249 :rule eq-symm :args (@t103 tptp.nil)) % 34.02/34.49 (step @p250 :rule refl :args (@t47)) % 34.02/34.49 (step @p251 :rule refl :args (@t61)) % 34.02/34.49 (step @p252 :rule nary_cong :premises (@p251 @p227 @p226 @p250 @p249) :args (@t135)) % 34.02/34.49 (step @p253 :rule cong :premises (@p252) :args (@t136)) % 34.02/34.49 (step @p254 :rule trans :premises (@p253 @p248)) % 34.02/34.49 (step @p255 :rule eq_resolve :premises (@p142 @p254)) % 34.02/34.49 (step @p256 :rule chain_m_resolution :premises (@p255 @p8) :args (@t184 @t205 (@list @t1))) % 34.02/34.49 (step @p257 :rule refl :args (tptp.nil)) % 34.02/34.49 (step @p258 :rule cong :premises (@p187 @p257) :args (@t162)) % 34.02/34.49 (step @p259 :rule aci_norm :args ((= @t163 @t162))) % 34.02/34.49 (step @p260 :rule trans :premises (@p259 @p258)) % 34.02/34.49 (step @p261 :rule eq_resolve :premises (@p189 @p260)) % 34.02/34.49 (step @p262 :rule refl :args (@t165)) % 34.02/34.49 (step @p263 :rule cong :premises (@p187 @p188) :args (@t178)) % 34.02/34.49 (step @p264 :rule cong :premises (@p263) :args (@t179)) % 34.02/34.49 (step @p265 :rule nary_cong :premises (@p264 @p262) :args (@t182)) % 34.02/34.49 (step @p266 :rule eq_resolve :premises (@p194 @p265)) % 34.02/34.49 (step @p267 :rule reordering :premises (@p266) :args ((or @t165 @t207))) % 34.02/34.49 (step @p268 :rule chain_m_resolution :premises (@p267 @p261) :args (@t207 @t205 (@list @t164))) % 34.02/34.49 (step @p269 :rule eq-symm :args (@t51 @t2)) % 34.02/34.49 (step @p270 :rule nary_cong :premises (@p250 @p269) :args (@t52)) % 34.02/34.49 (step @p271 :rule cong :premises (@p270) :args (@t53)) % 34.02/34.49 (step @p272 :rule eq_resolve :premises (@p73 @p271)) % 34.02/34.49 (step @p273 :rule instantiate :premises (@p272) :args (@t208)) % 34.02/34.49 (step @p274 :rule cnf_or_pos :args (@t211)) % 34.02/34.49 (step @p275 :rule reordering :premises (@p274) :args ((or @t210 @t209 (not @t211)))) % 34.02/34.49 (step @p276 :rule chain_m_resolution :premises (@p275 @p185 @p273) :args (@t209 @t212 (@list @t160 @t211))) % 34.02/34.49 (step @p277 :rule eq-symm :args (@t54 @t2)) % 34.02/34.49 (step @p278 :rule nary_cong :premises (@p250 @p277) :args (@t55)) % 34.02/34.49 (step @p279 :rule cong :premises (@p278) :args (@t56)) % 34.02/34.49 (step @p280 :rule eq_resolve :premises (@p74 @p279)) % 34.02/34.49 (step @p281 :rule instantiate :premises (@p280) :args (@t208)) % 34.02/34.49 (step @p282 :rule cnf_or_pos :args (@t215)) % 34.02/34.49 (step @p283 :rule reordering :premises (@p282) :args ((or @t210 @t214 (not @t215)))) % 34.02/34.49 (step @p284 :rule chain_m_resolution :premises (@p283 @p185 @p281) :args (@t214 @t212 (@list @t160 @t215))) % 34.02/34.49 (step @p285 :rule refl :args (@t57)) % 34.02/34.49 (step @p286 :rule eq-symm :args (@t94 @t2)) % 34.02/34.49 (step @p287 :rule nary_cong :premises (@p250 @p286 @p285) :args (@t95)) % 34.02/34.49 (step @p288 :rule cong :premises (@p287) :args (@t96)) % 34.02/34.49 (step @p289 :rule eq_resolve :premises (@p107 @p288)) % 34.02/34.49 (step @p290 :rule instantiate :premises (@p289) :args (@t216)) % 34.02/34.49 (step @p291 :rule aci_norm :args ((= (or false @t217 @t65 @t65) (or @t217 @t65)))) % 34.02/34.49 (step @p292 :rule refl :args (@t217)) % 34.02/34.49 (step @p293 :rule eq-refl :args (@t40)) % 34.02/34.49 (step @p294 :rule cong :premises (@p293) :args (@t218)) % 34.02/34.49 (step @p295 :rule trans :premises (@p294 @p199)) % 34.02/34.49 (step @p296 :rule nary_cong :premises (@p295 @p292 @p226 @p226) :args (@t219)) % 34.02/34.49 (step @p297 :rule trans :premises (@p296 @p291)) % 34.02/34.49 (step @p298 :rule cong :premises (@p297) :args ((forall @t190 @t219))) % 34.02/34.49 (step @p299 :rule quant-var-elim-eq :args ((= (forall @t4 @t220) @t219))) % 34.02/34.49 (step @p300 :rule aci_norm :args ((= @t101 @t220))) % 34.02/34.49 (step @p301 :rule cong :premises (@p300) :args (@t221)) % 34.02/34.49 (step @p302 :rule trans :premises (@p301 @p299)) % 34.02/34.49 (step @p303 :rule cong :premises (@p302) :args (@t222)) % 34.02/34.49 (step @p304 :rule quant-merge-prenex :args ((= @t222 @t223))) % 34.02/34.49 (step @p305 :rule symm :premises (@p304)) % 34.02/34.49 (step @p306 :rule quant_var_reordering :args ((= @t102 @t223))) % 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34.02/34.49 (assume-push @p607 @t275) % 34.02/34.49 (assume-push @p608 @t286) % 34.02/34.49 (assume-push @p609 @t207) % 34.02/34.49 (step @p320 :rule evaluate :args (@t230)) % 34.02/34.49 (step @p513 :rule true_intro :premises (@p600)) % 34.02/34.49 (step @p514 :rule refl :args (tptp.sk3)) % 34.02/34.49 (step @p515 :rule refl :args (@t288)) % 34.02/34.49 (step @p516 :rule symm :premises (@p276)) % 34.02/34.49 (step @p517 :rule trans :premises (@p516 @p284)) % 34.02/34.49 (step @p518 :rule symm :premises (@p603)) % 34.02/34.49 (step @p519 :rule trans :premises (@p518 @p276)) % 34.02/34.49 (step @p520 :rule trans :premises (@p519 @p517)) % 34.02/34.49 (step @p521 :rule cong :premises (@p520 @p515) :args ((tptp.app @t239 @t288))) % 34.02/34.49 (step @p522 :rule symm :premises (@p605)) % 34.02/34.49 (step @p523 :rule cong :premises (@p522) :args (@t274)) % 34.02/34.49 (step @p524 :rule trans :premises (@p462 @p523)) % 34.02/34.49 (step @p525 :rule symm :premises (@p519)) % 34.02/34.49 (step @p526 :rule symm :premises (@p256)) % 34.02/34.49 (step @p527 :rule refl :args (@t169)) % 34.02/34.49 (step @p528 :rule cong :premises (@p527 @p526) :args ((tptp.cons @t169 @t183))) % 34.02/34.49 (step @p529 :rule cong :premises (@p522) :args (@t281)) % 34.02/34.49 (step @p530 :rule trans :premises (@p470 @p529)) % 34.02/34.49 (step @p531 :rule cong :premises (@p530 @p256) :args (@t284)) % 34.02/34.49 (step @p532 :rule trans :premises (@p531 @p528 @p518 @p276)) % 34.02/34.49 (step @p533 :rule trans :premises (@p532 @p525)) % 34.02/34.49 (step @p534 :rule cong :premises (@p533 @p524) :args (@t285)) % 34.02/34.49 (step @p535 :rule trans :premises (@p605 @p478 @p534 @p521)) % 34.02/34.49 (step @p536 :rule cong :premises (@p535 @p514) :args (@t206)) % 34.02/34.49 (step @p537 :rule false_intro :premises (@p268)) % 34.02/34.49 (step @p538 :rule symm :premises (@p537)) % 34.02/34.49 (step @p539 :rule trans :premises (@p538 @p536 @p513)) % 34.02/34.49 (step @p540 false :rule eq_resolve :premises (@p539 @p320)) % 34.02/34.49 (step-pop @p610 :rule scope :premises (@p540)) % 34.02/34.49 (step-pop @p611 :rule scope :premises (@p610)) % 34.02/34.49 (step-pop @p612 :rule scope :premises (@p611)) % 34.02/34.49 (step-pop @p613 :rule scope :premises (@p612)) % 34.02/34.49 (step-pop @p614 :rule scope :premises (@p613)) % 34.02/34.49 (step-pop @p615 :rule scope :premises (@p614)) % 34.02/34.49 (step-pop @p616 :rule scope :premises (@p615)) % 34.02/34.49 (step-pop @p617 :rule scope :premises (@p616)) % 34.02/34.49 (step-pop @p618 :rule scope :premises (@p617)) % 34.02/34.49 (step-pop @p619 :rule scope :premises (@p618)) % 34.02/34.49 (step @p541 :rule process_scope :premises (@p619) :args (false)) % 34.02/34.49 (assume-push @p620 @t184) % 34.02/34.49 (assume-push @p621 @t249) % 34.02/34.49 (assume-push @p622 @t207) % 34.02/34.49 (assume-push @p623 @t209) % 34.02/34.49 (assume-push @p624 @t214) % 34.02/34.49 (assume-push @p625 @t234) % 34.02/34.49 (assume-push @p626 @t275) % 34.02/34.49 (assume-push @p627 @t282) % 34.02/34.49 (assume-push @p628 @t286) % 34.02/34.49 (assume-push @p629 @t293) % 34.02/34.49 (step @p562 :rule and_intro :premises (@p629 @p284 @p276 @p621 @p256 @p625 @p470 @p462 @p478 @p268)) % 34.02/34.49 (step-pop @p630 :rule scope :premises (@p562)) % 34.02/34.49 (step-pop @p631 :rule scope :premises (@p630)) % 34.02/34.49 (step-pop @p632 :rule scope :premises (@p631)) % 34.02/34.49 (step-pop @p633 :rule scope :premises (@p632)) % 34.02/34.49 (step-pop @p634 :rule scope :premises (@p633)) % 34.02/34.49 (step-pop @p635 :rule scope :premises (@p634)) % 34.02/34.49 (step-pop @p636 :rule scope :premises (@p635)) % 34.02/34.49 (step-pop @p637 :rule scope :premises (@p636)) % 34.02/34.49 (step-pop @p638 :rule scope :premises (@p637)) % 34.02/34.49 (step-pop @p639 :rule scope :premises (@p638)) % 34.02/34.49 (step @p563 :rule process_scope :premises (@p639) :args (@t306)) % 34.02/34.49 (step @p574 :rule implies_elim :premises (@p563)) % 34.02/34.49 (step @p575 :rule resolution :premises (@p574 @p541) :args (true @t306)) % 34.02/34.49 (step @p576 :rule not_and :premises (@p575)) % 34.02/34.49 (step @p577 :rule eq_resolve :premises (@p576 @p502)) % 34.02/34.49 (step @p578 :rule reordering :premises (@p577) :args ((or @t305 @t206 @t304 @t303 @t302 @t301 @t300 @t299 @t298 @t297))) % 34.02/34.49 (step @p579 false :rule chain_m_resolution :premises (@p578 @p491 @p478 @p470 @p462 @p451 @p338 @p284 @p276 @p268 @p256) :args (false (@list false false false false false false false false true false) (@list @t293 @t286 @t282 @t275 @t249 @t234 @t214 @t209 @t206 @t184))) % 34.02/34.49 ) % 34.02/34.49 % SZS output end Proof % 34.02/34.49 % cvc5 exiting %------------------------------------------------------------------------------