%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC247-1 : 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 : n006.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 08:58:36 AM UTC 2026 % Result : Unsatisfiable 139.78s 139.97s % Output : Proof 139.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC247-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.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 19:30:34 EDT 2026 % 0.17/0.34 % 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... % 16.04/16.20 --- Run --no-e-matching --full-saturate-quant at 6... % 22.02/22.25 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.02/28.29 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.14/34.33 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.25/64.44 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.36/79.50 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.37/112.58 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.76/127.99 --- Run --prenex-quant=none --full-saturate-quant at 30... % 139.78/139.97 % SZS status Unsatisfiable % 139.78/139.97 % SZS output start Proof % 139.78/139.99 ( % 139.78/139.99 (declare-sort $$unsorted 0) % 139.78/139.99 (declare-const tptp.sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.sk4 $$unsorted) % 139.78/139.99 (declare-const tptp.sk2 $$unsorted) % 139.78/139.99 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.nil $$unsorted) % 139.78/139.99 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.sk1 $$unsorted) % 139.78/139.99 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.skac2 $$unsorted) % 139.78/139.99 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.sk3 $$unsorted) % 139.78/139.99 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.ssList (-> $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skac3 $$unsorted) % 139.78/139.99 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 139.78/139.99 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 139.78/139.99 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 139.78/139.99 (define @t1 () (tptp.ssList tptp.nil)) % 139.78/139.99 (define @t2 () (@var "U" $$unsorted)) % 139.78/139.99 (define @t3 () (tptp.skaf83 @t2)) % 139.78/139.99 (define @t4 () (@list @t2)) % 139.78/139.99 (define @t5 () (tptp.skaf82 @t2)) % 139.78/139.99 (define @t6 () (tptp.skaf81 @t2)) % 139.78/139.99 (define @t7 () (tptp.skaf80 @t2)) % 139.78/139.99 (define @t8 () (tptp.skaf79 @t2)) % 139.78/139.99 (define @t9 () (tptp.skaf78 @t2)) % 139.78/139.99 (define @t10 () (tptp.skaf77 @t2)) % 139.78/139.99 (define @t11 () (tptp.skaf76 @t2)) % 139.78/139.99 (define @t12 () (tptp.skaf75 @t2)) % 139.78/139.99 (define @t13 () (tptp.skaf74 @t2)) % 139.78/139.99 (define @t14 () (tptp.skaf73 @t2)) % 139.78/139.99 (define @t15 () (tptp.skaf72 @t2)) % 139.78/139.99 (define @t16 () (tptp.skaf71 @t2)) % 139.78/139.99 (define @t17 () (tptp.skaf70 @t2)) % 139.78/139.99 (define @t18 () (tptp.skaf69 @t2)) % 139.78/139.99 (define @t19 () (tptp.skaf68 @t2)) % 139.78/139.99 (define @t20 () (tptp.skaf67 @t2)) % 139.78/139.99 (define @t21 () (tptp.skaf66 @t2)) % 139.78/139.99 (define @t22 () (tptp.skaf65 @t2)) % 139.78/139.99 (define @t23 () (tptp.skaf64 @t2)) % 139.78/139.99 (define @t24 () (tptp.skaf63 @t2)) % 139.78/139.99 (define @t25 () (tptp.skaf62 @t2)) % 139.78/139.99 (define @t26 () (tptp.skaf61 @t2)) % 139.78/139.99 (define @t27 () (tptp.skaf60 @t2)) % 139.78/139.99 (define @t28 () (tptp.skaf59 @t2)) % 139.78/139.99 (define @t29 () (tptp.skaf58 @t2)) % 139.78/139.99 (define @t30 () (tptp.skaf57 @t2)) % 139.78/139.99 (define @t31 () (tptp.skaf56 @t2)) % 139.78/139.99 (define @t32 () (tptp.skaf55 @t2)) % 139.78/139.99 (define @t33 () (tptp.skaf54 @t2)) % 139.78/139.99 (define @t34 () (tptp.skaf53 @t2)) % 139.78/139.99 (define @t35 () (tptp.skaf52 @t2)) % 139.78/139.99 (define @t36 () (tptp.skaf51 @t2)) % 139.78/139.99 (define @t37 () (tptp.skaf50 @t2)) % 139.78/139.99 (define @t38 () (tptp.skaf49 @t2)) % 139.78/139.99 (define @t39 () (tptp.skaf44 @t2)) % 139.78/139.99 (define @t40 () (@var "V" $$unsorted)) % 139.78/139.99 (define @t41 () (@list @t2 @t40)) % 139.78/139.99 (define @t42 () (tptp.skaf47 @t2 @t40)) % 139.78/139.99 (define @t43 () (tptp.skaf46 @t2 @t40)) % 139.78/139.99 (define @t44 () (tptp.skaf45 @t2 @t40)) % 139.78/139.99 (define @t45 () (tptp.skaf42 @t2 @t40)) % 139.78/139.99 (define @t46 () (not (tptp.ssItem @t2))) % 139.78/139.99 (define @t47 () (not (tptp.ssList @t2))) % 139.78/139.99 (define @t48 () (tptp.cons @t2 tptp.nil)) % 139.78/139.99 (define @t49 () (tptp.ssItem @t40)) % 139.78/139.99 (define @t50 () (tptp.duplicatefreeP @t2)) % 139.78/139.99 (define @t51 () (tptp.app @t2 tptp.nil)) % 139.78/139.99 (define @t52 () (or @t47 (= @t51 @t2))) % 139.78/139.99 (define @t53 () (forall @t4 @t52)) % 139.78/139.99 (define @t54 () (tptp.app tptp.nil @t2)) % 139.78/139.99 (define @t55 () (or @t47 (= @t54 @t2))) % 139.78/139.99 (define @t56 () (forall @t4 @t55)) % 139.78/139.99 (define @t57 () (= tptp.nil @t2)) % 139.78/139.99 (define @t58 () (tptp.tl @t2)) % 139.78/139.99 (define @t59 () (tptp.hd @t2)) % 139.78/139.99 (define @t60 () (tptp.segmentP tptp.nil @t2)) % 139.78/139.99 (define @t61 () (not @t57)) % 139.78/139.99 (define @t62 () (tptp.rearsegP tptp.nil @t2)) % 139.78/139.99 (define @t63 () (tptp.frontsegP tptp.nil @t2)) % 139.78/139.99 (define @t64 () (tptp.app @t40 @t2)) % 139.78/139.99 (define @t65 () (not (tptp.ssList @t40))) % 139.78/139.99 (define @t66 () (tptp.cons @t2 @t40)) % 139.78/139.99 (define @t67 () (tptp.cyclefreeP @t2)) % 139.78/139.99 (define @t68 () (tptp.equalelemsP @t2)) % 139.78/139.99 (define @t69 () (tptp.strictorderedP @t2)) % 139.78/139.99 (define @t70 () (tptp.totalorderedP @t2)) % 139.78/139.99 (define @t71 () (tptp.strictorderP @t2)) % 139.78/139.99 (define @t72 () (tptp.totalorderP @t2)) % 139.78/139.99 (define @t73 () (tptp.tl @t66)) % 139.78/139.99 (define @t74 () (or @t46 @t65 (= @t73 @t40))) % 139.78/139.99 (define @t75 () (forall @t41 @t74)) % 139.78/139.99 (define @t76 () (tptp.hd @t66)) % 139.78/139.99 (define @t77 () (or @t46 @t65 (= @t76 @t2))) % 139.78/139.99 (define @t78 () (forall @t41 @t77)) % 139.78/139.99 (define @t79 () (= @t40 @t2)) % 139.78/139.99 (define @t80 () (tptp.neq @t40 @t2)) % 139.78/139.99 (define @t81 () (not @t49)) % 139.78/139.99 (define @t82 () (tptp.leq @t2 @t40)) % 139.78/139.99 (define @t83 () (tptp.lt @t2 @t40)) % 139.78/139.99 (define @t84 () (not @t83)) % 139.78/139.99 (define @t85 () (tptp.lt @t40 @t2)) % 139.78/139.99 (define @t86 () (not (tptp.gt @t2 @t40))) % 139.78/139.99 (define @t87 () (tptp.gt @t40 @t2)) % 139.78/139.99 (define @t88 () (tptp.leq @t40 @t2)) % 139.78/139.99 (define @t89 () (not (tptp.geq @t2 @t40))) % 139.78/139.99 (define @t90 () (tptp.geq @t40 @t2)) % 139.78/139.99 (define @t91 () (not @t82)) % 139.78/139.99 (define @t92 () (tptp.cons @t3 @t5)) % 139.78/139.99 (define @t93 () (or @t47 (= @t92 @t2) @t57)) % 139.78/139.99 (define @t94 () (forall @t4 @t93)) % 139.78/139.99 (define @t95 () (= @t2 @t40)) % 139.78/139.99 (define @t96 () (not @t95)) % 139.78/139.99 (define @t97 () (tptp.cons @t40 @t2)) % 139.78/139.99 (define @t98 () (not (tptp.neq @t2 @t40))) % 139.78/139.99 (define @t99 () (tptp.app @t2 @t40)) % 139.78/139.99 (define @t100 () (= @t99 tptp.nil)) % 139.78/139.99 (define @t101 () (not @t100)) % 139.78/139.99 (define @t102 () (= tptp.nil @t40)) % 139.78/139.99 (define @t103 () (tptp.app @t48 @t40)) % 139.78/139.99 (define @t104 () (or @t46 @t65 (= @t103 @t66))) % 139.78/139.99 (define @t105 () (forall @t41 @t104)) % 139.78/139.99 (define @t106 () (tptp.hd @t40)) % 139.78/139.99 (define @t107 () (forall @t41 (or @t47 @t65 @t102 (= (tptp.hd @t64) @t106)))) % 139.78/139.99 (define @t108 () (tptp.strictorderedP @t40)) % 139.78/139.99 (define @t109 () (tptp.strictorderedP @t66)) % 139.78/139.99 (define @t110 () (not @t109)) % 139.78/139.99 (define @t111 () (tptp.totalorderedP @t40)) % 139.78/139.99 (define @t112 () (tptp.totalorderedP @t66)) % 139.78/139.99 (define @t113 () (not @t112)) % 139.78/139.99 (define @t114 () (not (tptp.segmentP @t40 @t2))) % 139.78/139.99 (define @t115 () (not (tptp.segmentP @t2 @t40))) % 139.78/139.99 (define @t116 () (or @t115 @t114 @t47 @t65 @t79)) % 139.78/139.99 (define @t117 () (forall @t41 @t116)) % 139.78/139.99 (define @t118 () (not (tptp.rearsegP @t2 @t40))) % 139.78/139.99 (define @t119 () (not (tptp.frontsegP @t2 @t40))) % 139.78/139.99 (define @t120 () (not @t88)) % 139.78/139.99 (define @t121 () (tptp.app @t40 @t44)) % 139.78/139.99 (define @t122 () (or @t119 @t65 @t47 (= @t121 @t2))) % 139.78/139.99 (define @t123 () (forall @t41 @t122)) % 139.78/139.99 (define @t124 () (tptp.tl @t40)) % 139.78/139.99 (define @t125 () (tptp.lt @t2 @t106)) % 139.78/139.99 (define @t126 () (tptp.leq @t2 @t106)) % 139.78/139.99 (define @t127 () (@var "W" $$unsorted)) % 139.78/139.99 (define @t128 () (tptp.app @t127 @t2)) % 139.78/139.99 (define @t129 () (not (tptp.ssList @t127))) % 139.78/139.99 (define @t130 () (@list @t2 @t40 @t127)) % 139.78/139.99 (define @t131 () (tptp.app @t2 @t127)) % 139.78/139.99 (define @t132 () (tptp.cons @t40 @t127)) % 139.78/139.99 (define @t133 () (tptp.cons @t127 @t2)) % 139.78/139.99 (define @t134 () (not (tptp.ssItem @t127))) % 139.78/139.99 (define @t135 () (not (tptp.memberP @t2 @t40))) % 139.78/139.99 (define @t136 () (not (= @t99 @t127))) % 139.78/139.99 (define @t137 () (not @t102)) % 139.78/139.99 (define @t138 () (or @t61 @t137 @t65 @t47 @t100)) % 139.78/139.99 (define @t139 () (forall @t41 @t138)) % 139.78/139.99 (define @t140 () (tptp.lt @t2 @t127)) % 139.78/139.99 (define @t141 () (not (tptp.lt @t40 @t127))) % 139.78/139.99 (define @t142 () (tptp.app @t127 @t40)) % 139.78/139.99 (define @t143 () (= @t40 @t127)) % 139.78/139.99 (define @t144 () (= @t2 @t127)) % 139.78/139.99 (define @t145 () (forall @t130 (or (not (= @t99 @t142)) @t47 @t65 @t129 @t144))) % 139.78/139.99 (define @t146 () (tptp.memberP @t40 @t127)) % 139.78/139.99 (define @t147 () (@var "X" $$unsorted)) % 139.78/139.99 (define @t148 () (not (tptp.ssList @t147))) % 139.78/139.99 (define @t149 () (tptp.cons @t127 @t147)) % 139.78/139.99 (define @t150 () (not (= @t66 @t149))) % 139.78/139.99 (define @t151 () (@list @t2 @t40 @t127 @t147)) % 139.78/139.99 (define @t152 () (tptp.segmentP @t147 @t40)) % 139.78/139.99 (define @t153 () (tptp.app @t99 @t127)) % 139.78/139.99 (define @t154 () (not (= @t153 @t147))) % 139.78/139.99 (define @t155 () (or @t154 @t129 @t47 @t65 @t148 @t152)) % 139.78/139.99 (define @t156 () (forall @t151 @t155)) % 139.78/139.99 (define @t157 () (not (tptp.frontsegP @t66 @t149))) % 139.78/139.99 (define @t158 () (tptp.app @t2 @t132)) % 139.78/139.99 (define @t159 () (not (tptp.ssItem @t147))) % 139.78/139.99 (define @t160 () (@var "Y" $$unsorted)) % 139.78/139.99 (define @t161 () (not (tptp.ssList @t160))) % 139.78/139.99 (define @t162 () (@list @t2 @t40 @t127 @t147 @t160)) % 139.78/139.99 (define @t163 () (tptp.lt @t40 @t147)) % 139.78/139.99 (define @t164 () (@var "Z" $$unsorted)) % 139.78/139.99 (define @t165 () (not (tptp.ssList @t164))) % 139.78/139.99 (define @t166 () (not (= (tptp.app @t158 (tptp.cons @t147 @t160)) @t164))) % 139.78/139.99 (define @t167 () (@list @t2 @t40 @t127 @t147 @t160 @t164)) % 139.78/139.99 (define @t168 () (tptp.leq @t40 @t147)) % 139.78/139.99 (define @t169 () (tptp.ssList tptp.sk3)) % 139.78/139.99 (define @t170 () (tptp.ssList tptp.sk4)) % 139.78/139.99 (define @t171 () (tptp.frontsegP tptp.sk4 tptp.sk3)) % 139.78/139.99 (define @t172 () (= tptp.nil tptp.sk1)) % 139.78/139.99 (define @t173 () (not @t172)) % 139.78/139.99 (define @t174 () (@var "A" $$unsorted)) % 139.78/139.99 (define @t175 () (@var "B" $$unsorted)) % 139.78/139.99 (define @t176 () (@var "C" $$unsorted)) % 139.78/139.99 (define @t177 () (tptp.sk5 @t176 @t175 @t174)) % 139.78/139.99 (define @t178 () (tptp.ssItem @t177)) % 139.78/139.99 (define @t179 () (tptp.app (tptp.app @t175 (tptp.cons @t174 tptp.nil)) @t176)) % 139.78/139.99 (define @t180 () (not (= @t179 tptp.sk1))) % 139.78/139.99 (define @t181 () (not (tptp.ssList @t176))) % 139.78/139.99 (define @t182 () (not (tptp.ssList @t175))) % 139.78/139.99 (define @t183 () (not (tptp.ssItem @t174))) % 139.78/139.99 (define @t184 () (or @t183 @t182 @t181 @t180 @t178)) % 139.78/139.99 (define @t185 () (@list @t174 @t175 @t176)) % 139.78/139.99 (define @t186 () (forall @t185 @t184)) % 139.78/139.99 (define @t187 () (tptp.memberP @t175 @t177)) % 139.78/139.99 (define @t188 () (or @t183 @t182 @t181 @t180 @t187)) % 139.78/139.99 (define @t189 () (forall @t185 @t188)) % 139.78/139.99 (define @t190 () (tptp.app tptp.nil tptp.nil)) % 139.78/139.99 (define @t191 () (= tptp.nil @t190)) % 139.78/139.99 (define @t192 () (not @t1)) % 139.78/139.99 (define @t193 () (or @t192 @t191)) % 139.78/139.99 (define @t194 () (not (= tptp.nil tptp.nil))) % 139.78/139.99 (define @t195 () (or @t194 @t192 @t191)) % 139.78/139.99 (define @t196 () (= tptp.nil (tptp.app tptp.nil @t40))) % 139.78/139.99 (define @t197 () (@list @t40)) % 139.78/139.99 (define @t198 () (or @t137 @t137 @t65 @t196)) % 139.78/139.99 (define @t199 () (or @t137 @t65 @t196)) % 139.78/139.99 (define @t200 () (forall @t197 @t199)) % 139.78/139.99 (define @t201 () (or @t192 @t200)) % 139.78/139.99 (define @t202 () (or @t192 @t199)) % 139.78/139.99 (define @t203 () (or @t137 @t65 @t192 @t196)) % 139.78/139.99 (define @t204 () (or @t194 @t137 @t65 @t192 @t196)) % 139.78/139.99 (define @t205 () (= tptp.nil @t99)) % 139.78/139.99 (define @t206 () (or @t61 @t61 @t137 @t65 @t47 @t205)) % 139.78/139.99 (define @t207 () (or @t61 @t137 @t65 @t47 @t205)) % 139.78/139.99 (define @t208 () (forall @t4 @t207)) % 139.78/139.99 (define @t209 () (forall @t197 @t208)) % 139.78/139.99 (define @t210 () (forall (@list @t40 @t2) @t207)) % 139.78/139.99 (define @t211 () (@list false)) % 139.78/139.99 (define @t212 () (@list tptp.sk4)) % 139.78/139.99 (define @t213 () (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) % 139.78/139.99 (define @t214 () (not @t170)) % 139.78/139.99 (define @t215 () (or @t214 @t213)) % 139.78/139.99 (define @t216 () (@list false false)) % 139.78/139.99 (define @t217 () (@list tptp.sk4 tptp.sk3)) % 139.78/139.99 (define @t218 () (tptp.skaf45 tptp.sk4 tptp.sk3)) % 139.78/139.99 (define @t219 () (tptp.app tptp.sk3 @t218)) % 139.78/139.99 (define @t220 () (= tptp.sk4 @t219)) % 139.78/139.99 (define @t221 () (not @t169)) % 139.78/139.99 (define @t222 () (not @t171)) % 139.78/139.99 (define @t223 () (or @t222 @t221 @t214 @t220)) % 139.78/139.99 (define @t224 () (@list @t218)) % 139.78/139.99 (define @t225 () (tptp.app tptp.nil @t218)) % 139.78/139.99 (define @t226 () (= @t218 @t225)) % 139.78/139.99 (define @t227 () (tptp.ssList @t218)) % 139.78/139.99 (define @t228 () (not @t227)) % 139.78/139.99 (define @t229 () (or @t228 @t226)) % 139.78/139.99 (define @t230 () (tptp.segmentP @t218 tptp.nil)) % 139.78/139.99 (define @t231 () (or @t228 @t230)) % 139.78/139.99 (define @t232 () (tptp.app @t219 tptp.nil)) % 139.78/139.99 (define @t233 () (= @t218 @t232)) % 139.78/139.99 (define @t234 () (= @t232 @t218)) % 139.78/139.99 (define @t235 () (= tptp.nil tptp.sk3)) % 139.78/139.99 (define @t236 () (not (= @t225 @t219))) % 139.78/139.99 (define @t237 () (or @t236 @t192 @t228 @t221 @t235)) % 139.78/139.99 (define @t238 () (not (= @t219 @t225))) % 139.78/139.99 (define @t239 () (or @t238 @t192 @t228 @t221 @t235)) % 139.78/139.99 (define @t240 () (tptp.segmentP @t153 @t40)) % 139.78/139.99 (define @t241 () (not (tptp.ssList @t153))) % 139.78/139.99 (define @t242 () (not (= @t153 @t153))) % 139.78/139.99 (define @t243 () (or @t242 @t129 @t47 @t65 @t241 @t240)) % 139.78/139.99 (define @t244 () (not (= @t147 @t153))) % 139.78/139.99 (define @t245 () (or @t244 @t244 @t129 @t47 @t65 @t148 @t152)) % 139.78/139.99 (define @t246 () (@list @t147)) % 139.78/139.99 (define @t247 () (or @t244 @t129 @t47 @t65 @t148 @t152)) % 139.78/139.99 (define @t248 () (forall @t246 @t247)) % 139.78/139.99 (define @t249 () (forall @t130 @t248)) % 139.78/139.99 (define @t250 () (tptp.ssList @t232)) % 139.78/139.99 (define @t251 () (tptp.segmentP @t232 @t218)) % 139.78/139.99 (define @t252 () (not @t250)) % 139.78/139.99 (define @t253 () (or @t192 @t221 @t228 @t252 @t251)) % 139.78/139.99 (define @t254 () (not @t251)) % 139.78/139.99 (define @t255 () (tptp.segmentP @t218 @t232)) % 139.78/139.99 (define @t256 () (not @t255)) % 139.78/139.99 (define @t257 () (or @t256 @t254 @t228 @t252 @t233)) % 139.78/139.99 (define @t258 () (@list tptp.sk3)) % 139.78/139.99 (define @t259 () (tptp.skaf82 tptp.sk3)) % 139.78/139.99 (define @t260 () (tptp.skaf83 tptp.sk3)) % 139.78/139.99 (define @t261 () (tptp.cons @t260 @t259)) % 139.78/139.99 (define @t262 () (= tptp.sk3 @t261)) % 139.78/139.99 (define @t263 () (or @t221 @t262 @t235)) % 139.78/139.99 (define @t264 () (@list true false false)) % 139.78/139.99 (define @t265 () (@list @t260 @t259)) % 139.78/139.99 (define @t266 () (tptp.hd @t261)) % 139.78/139.99 (define @t267 () (= @t260 @t266)) % 139.78/139.99 (define @t268 () (tptp.ssList @t259)) % 139.78/139.99 (define @t269 () (not @t268)) % 139.78/139.99 (define @t270 () (tptp.ssItem @t260)) % 139.78/139.99 (define @t271 () (not @t270)) % 139.78/139.99 (define @t272 () (or @t271 @t269 @t267)) % 139.78/139.99 (define @t273 () (@list false false false)) % 139.78/139.99 (define @t274 () (tptp.cons @t260 tptp.nil)) % 139.78/139.99 (define @t275 () (tptp.app @t274 @t259)) % 139.78/139.99 (define @t276 () (= @t261 @t275)) % 139.78/139.99 (define @t277 () (or @t271 @t269 @t276)) % 139.78/139.99 (define @t278 () (tptp.skaf82 tptp.sk4)) % 139.78/139.99 (define @t279 () (tptp.skaf83 tptp.sk4)) % 139.78/139.99 (define @t280 () (tptp.cons @t279 @t278)) % 139.78/139.99 (define @t281 () (= @t279 (tptp.hd @t280))) % 139.78/139.99 (define @t282 () (tptp.ssList @t278)) % 139.78/139.99 (define @t283 () (not @t282)) % 139.78/139.99 (define @t284 () (tptp.ssItem @t279)) % 139.78/139.99 (define @t285 () (not @t284)) % 139.78/139.99 (define @t286 () (or @t285 @t283 @t281)) % 139.78/139.99 (define @t287 () (tptp.hd @t219)) % 139.78/139.99 (define @t288 () (tptp.hd tptp.sk3)) % 139.78/139.99 (define @t289 () (or @t228 @t221 @t235 (= @t287 @t288))) % 139.78/139.99 (define @t290 () (= @t288 @t287)) % 139.78/139.99 (define @t291 () (or @t228 @t221 @t235 @t290)) % 139.78/139.99 (define @t292 () (tptp.hd tptp.sk4)) % 139.78/139.99 (define @t293 () (tptp.cons @t292 tptp.nil)) % 139.78/139.99 (define @t294 () (tptp.ssItem @t288)) % 139.78/139.99 (define @t295 () (or @t221 @t294 @t235)) % 139.78/139.99 (define @t296 () (tptp.ssItem @t292)) % 139.78/139.99 (define @t297 () (tptp.ssList @t293)) % 139.78/139.99 (define @t298 () (not @t296)) % 139.78/139.99 (define @t299 () (or @t298 @t192 @t297)) % 139.78/139.99 (define @t300 () (tptp.app tptp.nil @t293)) % 139.78/139.99 (define @t301 () (= @t293 @t300)) % 139.78/139.99 (define @t302 () (not @t297)) % 139.78/139.99 (define @t303 () (or @t302 @t301)) % 139.78/139.99 (define @t304 () (= tptp.sk4 @t280)) % 139.78/139.99 (define @t305 () (tptp.cons @t279 @t190)) % 139.78/139.99 (define @t306 () (tptp.cons @t288 tptp.nil)) % 139.78/139.99 (define @t307 () (tptp.app tptp.nil (tptp.cons @t279 tptp.nil))) % 139.78/139.99 (define @t308 () (tptp.app @t307 @t259)) % 139.78/139.99 (define @t309 () (= tptp.sk3 @t308)) % 139.78/139.99 (define @t310 () (and @t191 @t262 @t304 @t220 @t267 @t281 @t276 @t290 @t301)) % 139.78/139.99 (define @t311 () (tptp.tl @t261)) % 139.78/139.99 (define @t312 () (= @t259 @t311)) % 139.78/139.99 (define @t313 () (or @t271 @t269 @t312)) % 139.78/139.99 (define @t314 () (tptp.tl tptp.sk3)) % 139.78/139.99 (define @t315 () (= tptp.sk3 (tptp.app @t307 @t314))) % 139.78/139.99 (define @t316 () (and @t191 @t262 @t304 @t220 @t312 @t267 @t281 @t276 @t290 @t301)) % 139.78/139.99 (define @t317 () (= tptp.sk1 @t179)) % 139.78/139.99 (define @t318 () (not @t317)) % 139.78/139.99 (define @t319 () (or @t183 @t182 @t181 @t318 @t178)) % 139.78/139.99 (define @t320 () (tptp.ssItem (tptp.sk5 @t259 tptp.nil @t279))) % 139.78/139.99 (define @t321 () (not @t309)) % 139.78/139.99 (define @t322 () (or @t285 @t192 @t269 @t321 @t320)) % 139.78/139.99 (define @t323 () (tptp.ssList @t314)) % 139.78/139.99 (define @t324 () (or @t221 @t323 @t235)) % 139.78/139.99 (define @t325 () (or @t183 @t182 @t181 @t318 @t187)) % 139.78/139.99 (define @t326 () (tptp.sk5 @t314 tptp.nil @t279)) % 139.78/139.99 (define @t327 () (tptp.memberP tptp.nil @t326)) % 139.78/139.99 (define @t328 () (not @t315)) % 139.78/139.99 (define @t329 () (not @t323)) % 139.78/139.99 (define @t330 () (or @t285 @t192 @t329 @t328 @t327)) % 139.78/139.99 (define @t331 () (tptp.ssItem @t326)) % 139.78/139.99 (define @t332 () (not @t331)) % 139.78/139.99 (define @t333 () (not @t327)) % 139.78/139.99 (define @t334 () (or @t333 @t332)) % 139.78/139.99 (define @t335 () (and @t262 @t312 @t320)) % 139.78/139.99 (define @t336 () (= tptp.nil tptp.sk4)) % 139.78/139.99 (define @t337 () (or @t214 @t304 @t336)) % 139.78/139.99 (define @t338 () (not @t230)) % 139.78/139.99 (define @t339 () (not @t226)) % 139.78/139.99 (define @t340 () (not @t220)) % 139.78/139.99 (define @t341 () (not @t336)) % 139.78/139.99 (define @t342 () (not @t213)) % 139.78/139.99 (define @t343 () (not @t191)) % 139.78/139.99 (define @t344 () (tptp.app @t190 @t218)) % 139.78/139.99 (define @t345 () (and @t230 @t226 @t191 @t336 @t213 @t220 @t256)) % 139.78/139.99 (assume @p1 (tptp.equalelemsP tptp.nil)) % 139.78/139.99 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 139.78/139.99 (assume @p3 (tptp.strictorderedP tptp.nil)) % 139.78/139.99 (assume @p4 (tptp.totalorderedP tptp.nil)) % 139.78/139.99 (assume @p5 (tptp.strictorderP tptp.nil)) % 139.78/139.99 (assume @p6 (tptp.totalorderP tptp.nil)) % 139.78/139.99 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 139.78/139.99 (assume @p8 @t1) % 139.78/139.99 (assume @p9 (tptp.ssItem tptp.skac3)) % 139.78/139.99 (assume @p10 (tptp.ssItem tptp.skac2)) % 139.78/139.99 (assume @p11 (not (tptp.singletonP tptp.nil))) % 139.78/139.99 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 139.78/139.99 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 139.78/139.99 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 139.78/139.99 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 139.78/139.99 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 139.78/139.99 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 139.78/139.99 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 139.78/139.99 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 139.78/139.99 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 139.78/139.99 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 139.78/139.99 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 139.78/139.99 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 139.78/139.99 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 139.78/139.99 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 139.78/139.99 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 139.78/139.99 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 139.78/139.99 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 139.78/139.99 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 139.78/139.99 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 139.78/139.99 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 139.78/139.99 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 139.78/139.99 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 139.78/139.99 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 139.78/139.99 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 139.78/139.99 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 139.78/139.99 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 139.78/139.99 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 139.78/139.99 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 139.78/139.99 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 139.78/139.99 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 139.78/139.99 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 139.78/139.99 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 139.78/139.99 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 139.78/139.99 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 139.78/139.99 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 139.78/139.99 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 139.78/139.99 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 139.78/139.99 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 139.78/139.99 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 139.78/139.99 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 139.78/139.99 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 139.78/139.99 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 139.78/139.99 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 139.78/139.99 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 139.78/139.99 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 139.78/139.99 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 139.78/139.99 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 139.78/139.99 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 139.78/139.99 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 139.78/139.99 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 139.78/139.99 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 139.78/139.99 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 139.78/139.99 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 139.78/139.99 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 139.78/139.99 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 139.78/139.99 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 139.78/139.99 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 139.78/139.99 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 139.78/139.99 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 139.78/139.99 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 139.78/139.99 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 139.78/139.99 (assume @p73 @t53) % 139.78/139.99 (assume @p74 @t56) % 139.78/139.99 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t58) @t57))) % 139.78/139.99 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t59) @t57))) % 139.78/139.99 (assume @p77 (forall @t4 (or @t61 @t47 @t60))) % 139.78/139.99 (assume @p78 (forall @t4 (or (not @t60) @t47 @t57))) % 139.78/139.99 (assume @p79 (forall @t4 (or @t61 @t47 @t62))) % 139.78/139.99 (assume @p80 (forall @t4 (or (not @t62) @t47 @t57))) % 139.78/139.99 (assume @p81 (forall @t4 (or @t61 @t47 @t63))) % 139.78/139.99 (assume @p82 (forall @t4 (or (not @t63) @t47 @t57))) % 139.78/139.99 (assume @p83 (forall @t41 (or @t47 @t65 (tptp.ssList @t64)))) % 139.78/139.99 (assume @p84 (forall @t41 (or @t46 @t65 (tptp.ssList @t66)))) % 139.78/139.99 (assume @p85 (forall @t4 (or @t47 @t67 (tptp.leq @t37 @t38)))) % 139.78/139.99 (assume @p86 (forall @t4 (or @t47 @t67 (tptp.leq @t38 @t37)))) % 139.78/139.99 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t68))) % 139.78/139.99 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t69))) % 139.78/139.99 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t70))) % 139.78/139.99 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t71))) % 139.78/139.99 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t71))) % 139.78/139.99 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t72))) % 139.78/139.99 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t72))) % 139.78/139.99 (assume @p94 @t75) % 139.78/139.99 (assume @p95 @t78) % 139.78/139.99 (assume @p96 (forall @t41 (or (not (= @t66 tptp.nil)) @t46 @t65))) % 139.78/139.99 (assume @p97 (forall @t41 (or (not (= @t66 @t40)) @t46 @t65))) % 139.78/139.99 (assume @p98 (forall @t41 (or @t47 @t65 @t80 @t79))) % 139.78/139.99 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 139.78/139.99 (assume @p100 (forall @t41 (or @t46 @t81 @t80 @t79))) % 139.78/139.99 (assume @p101 (forall @t41 (or @t84 @t81 @t46 @t82))) % 139.78/139.99 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t59 @t58) @t2) @t57))) % 139.78/139.99 (assume @p103 (forall @t41 (or @t86 @t81 @t46 @t85))) % 139.78/139.99 (assume @p104 (forall @t41 (or @t84 @t46 @t81 @t87))) % 139.78/139.99 (assume @p105 (forall @t41 (or @t89 @t81 @t46 @t88))) % 139.78/139.99 (assume @p106 (forall @t41 (or @t91 @t46 @t81 @t90))) % 139.78/139.99 (assume @p107 @t94) % 139.78/139.99 (assume @p108 (forall @t41 (or @t86 (not @t87) @t46 @t81))) % 139.78/139.99 (assume @p109 (forall @t41 (or @t96 @t84 @t81 @t46))) % 139.78/139.99 (assume @p110 (forall @t41 (or @t61 @t47 @t81 (tptp.strictorderedP @t97)))) % 139.78/139.99 (assume @p111 (forall @t41 (or @t61 @t47 @t81 (tptp.totalorderedP @t97)))) % 139.78/139.99 (assume @p112 (forall @t41 (or @t84 (not @t85) @t46 @t81))) % 139.78/139.99 (assume @p113 (forall @t41 (or @t96 @t98 @t65 @t47))) % 139.78/139.99 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t65 (tptp.singletonP @t40)))) % 139.78/139.99 (assume @p115 (forall @t41 (or @t96 @t98 @t81 @t46))) % 139.78/139.99 (assume @p116 (forall @t41 (or @t101 @t65 @t47 @t57))) % 139.78/139.99 (assume @p117 (forall @t41 (or @t101 @t65 @t47 @t102))) % 139.78/139.99 (assume @p118 @t105) % 139.78/139.99 (assume @p119 (forall @t41 (or @t91 @t81 @t46 @t83 @t95))) % 139.78/139.99 (assume @p120 @t107) % 139.78/139.99 (assume @p121 (forall @t41 (or @t110 @t65 @t46 @t108 @t102))) % 139.78/139.99 (assume @p122 (forall @t41 (or @t113 @t65 @t46 @t111 @t102))) % 139.78/139.99 (assume @p123 (forall @t41 (or @t89 (not @t90) @t46 @t81 @t79))) % 139.78/139.99 (assume @p124 @t117) % 139.78/139.99 (assume @p125 (forall @t41 (or @t118 (not (tptp.rearsegP @t40 @t2)) @t47 @t65 @t79))) % 139.78/139.99 (assume @p126 (forall @t41 (or @t119 (not (tptp.frontsegP @t40 @t2)) @t47 @t65 @t79))) % 139.78/139.99 (assume @p127 (forall @t41 (or @t91 @t120 @t46 @t81 @t79))) % 139.78/139.99 (assume @p128 (forall @t41 (or @t118 @t65 @t47 (= (tptp.app @t43 @t40) @t2)))) % 139.78/139.99 (assume @p129 @t123) % 139.78/139.99 (assume @p130 (forall @t41 (or @t47 @t65 @t102 (= (tptp.tl @t64) (tptp.app @t124 @t2))))) % 139.78/139.99 (assume @p131 (forall @t41 (or @t110 @t65 @t46 @t125 @t102))) % 139.78/139.99 (assume @p132 (forall @t41 (or @t113 @t65 @t46 @t126 @t102))) % 139.78/139.99 (assume @p133 (forall @t130 (or @t118 @t129 @t65 @t47 (tptp.rearsegP @t128 @t40)))) % 139.78/139.99 (assume @p134 (forall @t130 (or @t119 @t129 @t65 @t47 (tptp.frontsegP @t131 @t40)))) % 139.78/139.99 (assume @p135 (forall @t130 (or @t96 @t129 @t81 @t46 (tptp.memberP @t132 @t2)))) % 139.78/139.99 (assume @p136 (forall @t130 (or @t135 @t47 @t134 @t81 (tptp.memberP @t133 @t40)))) % 139.78/139.99 (assume @p137 (forall @t130 (or @t135 @t129 @t47 @t81 (tptp.memberP @t131 @t40)))) % 139.78/139.99 (assume @p138 (forall @t130 (or @t135 @t47 @t129 @t81 (tptp.memberP @t128 @t40)))) % 139.78/139.99 (assume @p139 (forall @t4 (or @t47 @t68 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 139.78/139.99 (assume @p140 (forall @t130 (or @t136 @t47 @t65 @t129 (tptp.rearsegP @t127 @t40)))) % 139.78/139.99 (assume @p141 (forall @t130 (or @t136 @t65 @t47 @t129 (tptp.frontsegP @t127 @t2)))) % 139.78/139.99 (assume @p142 @t139) % 139.78/139.99 (assume @p143 (forall @t130 (or @t86 (not (tptp.gt @t40 @t127)) @t134 @t81 @t46 (tptp.gt @t2 @t127)))) % 139.78/139.99 (assume @p144 (forall @t130 (or @t91 @t141 @t134 @t81 @t46 @t140))) % 139.78/139.99 (assume @p145 (forall @t130 (or @t89 (not (tptp.geq @t40 @t127)) @t134 @t81 @t46 (tptp.geq @t2 @t127)))) % 139.78/139.99 (assume @p146 (forall @t130 (or @t47 @t65 @t129 (= (tptp.app @t142 @t2) (tptp.app @t127 @t64))))) % 139.78/139.99 (assume @p147 (forall @t130 (or (not (= @t99 @t131)) @t65 @t47 @t129 @t143))) % 139.78/139.99 (assume @p148 @t145) % 139.78/139.99 (assume @p149 (forall @t130 (or @t115 (not (tptp.segmentP @t40 @t127)) @t129 @t65 @t47 (tptp.segmentP @t2 @t127)))) % 139.78/139.99 (assume @p150 (forall @t130 (or @t118 (not (tptp.rearsegP @t40 @t127)) @t129 @t65 @t47 (tptp.rearsegP @t2 @t127)))) % 139.78/139.99 (assume @p151 (forall @t130 (or @t119 (not (tptp.frontsegP @t40 @t127)) @t129 @t65 @t47 (tptp.frontsegP @t2 @t127)))) % 139.78/139.99 (assume @p152 (forall @t130 (or @t84 @t141 @t134 @t81 @t46 @t140))) % 139.78/139.99 (assume @p153 (forall @t130 (or @t91 (not (tptp.leq @t40 @t127)) @t134 @t81 @t46 (tptp.leq @t2 @t127)))) % 139.78/139.99 (assume @p154 (forall @t130 (or @t46 @t65 @t129 (= (tptp.cons @t2 (tptp.app @t40 @t127)) (tptp.app @t66 @t127))))) % 139.78/139.99 (assume @p155 (forall @t130 (or (not (tptp.memberP @t99 @t127)) @t65 @t47 @t134 @t146 (tptp.memberP @t2 @t127)))) % 139.78/139.99 (assume @p156 (forall @t41 (or (not @t126) (not @t111) @t65 @t46 @t112 @t102))) % 139.78/139.99 (assume @p157 (forall @t41 (or (not @t125) (not @t108) @t65 @t46 @t109 @t102))) % 139.78/139.99 (assume @p158 (forall @t130 (or (not (tptp.memberP @t66 @t127)) @t65 @t46 @t134 @t146 (= @t127 @t2)))) % 139.78/139.99 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 139.78/139.99 (assume @p160 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 139.78/139.99 (assume @p161 (forall @t4 (or @t47 @t70 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 139.78/139.99 (assume @p162 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 139.78/139.99 (assume @p163 (forall @t4 (or @t47 @t72 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 139.78/139.99 (assume @p164 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 139.78/139.99 (assume @p165 (forall @t41 (or @t115 @t65 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 139.78/139.99 (assume @p166 (forall @t41 (or @t135 @t81 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 139.78/139.99 (assume @p167 (forall @t151 (or @t150 @t134 @t46 @t148 @t65 @t144))) % 139.78/139.99 (assume @p168 (forall @t151 (or @t150 @t134 @t46 @t148 @t65 (= @t147 @t40)))) % 139.78/139.99 (assume @p169 (forall @t151 (or @t115 @t129 @t148 @t65 @t47 (tptp.segmentP (tptp.app (tptp.app @t147 @t2) @t127) @t40)))) % 139.78/139.99 (assume @p170 @t156) % 139.78/139.99 (assume @p171 (forall @t151 (or @t157 @t148 @t65 @t134 @t46 (tptp.frontsegP @t40 @t147)))) % 139.78/139.99 (assume @p172 (forall @t151 (or (not (= @t158 @t147)) @t129 @t47 @t81 @t148 (tptp.memberP @t147 @t40)))) % 139.78/139.99 (assume @p173 (forall @t151 (or @t157 @t148 @t65 @t134 @t46 @t144))) % 139.78/139.99 (assume @p174 (forall @t41 (or (not (= @t58 @t124)) (not (= @t59 @t106)) @t47 @t65 @t102 @t95 @t57))) % 139.78/139.99 (assume @p175 (forall @t151 (or @t119 (not (= @t127 @t147)) @t65 @t47 @t159 @t134 (tptp.frontsegP @t133 (tptp.cons @t147 @t40))))) % 139.78/139.99 (assume @p176 (forall @t162 (or (not (= (tptp.app @t158 (tptp.cons @t40 @t147)) @t160)) @t148 @t129 @t47 @t81 (not (tptp.duplicatefreeP @t160)) @t161))) % 139.78/139.99 (assume @p177 (forall @t162 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t149)) @t160)) @t148 @t47 @t134 @t81 (not (tptp.equalelemsP @t160)) @t161 @t143))) % 139.78/139.99 (assume @p178 (forall @t167 (or @t166 @t161 @t129 @t47 @t159 @t81 (not (tptp.strictorderedP @t164)) @t165 @t163))) % 139.78/139.99 (assume @p179 (forall @t167 (or @t166 @t161 @t129 @t47 @t159 @t81 (not (tptp.totalorderedP @t164)) @t165 @t168))) % 139.78/139.99 (assume @p180 (forall @t167 (or @t166 @t161 @t129 @t47 @t159 @t81 (not (tptp.strictorderP @t164)) @t165 @t163 (tptp.lt @t147 @t40)))) % 139.78/139.99 (assume @p181 (forall @t167 (or @t166 @t161 @t129 @t47 @t159 @t81 (not (tptp.totalorderP @t164)) @t165 @t168 (tptp.leq @t147 @t40)))) % 139.78/139.99 (assume @p182 (forall @t167 (or @t91 @t120 (not (= (tptp.app (tptp.app @t127 (tptp.cons @t2 @t147)) (tptp.cons @t40 @t160)) @t164)) @t161 @t148 @t129 @t81 @t46 (not (tptp.cyclefreeP @t164)) @t165))) % 139.78/139.99 (assume @p183 (tptp.ssList tptp.sk1)) % 139.78/139.99 (assume @p184 (tptp.ssList tptp.sk2)) % 139.78/139.99 (assume @p185 @t169) % 139.78/139.99 (assume @p186 @t170) % 139.78/139.99 (assume @p187 (= tptp.sk2 tptp.sk4)) % 139.78/139.99 (assume @p188 (= tptp.sk1 tptp.sk3)) % 139.78/139.99 (assume @p189 @t171) % 139.78/139.99 (assume @p190 (tptp.totalorderedP tptp.sk3)) % 139.78/139.99 (assume @p191 @t173) % 139.78/139.99 (assume @p192 (forall (@list @t174) (or (not (tptp.ssList @t174)) (not (tptp.neq tptp.sk3 @t174)) (not (tptp.frontsegP tptp.sk4 @t174)) (not (tptp.segmentP @t174 tptp.sk3)) (not (tptp.totalorderedP @t174))))) % 139.78/139.99 (assume @p193 @t186) % 139.78/139.99 (assume @p194 @t189) % 139.78/139.99 (assume @p195 (forall @t185 (or @t183 @t182 @t181 @t180 (tptp.memberP @t176 @t177)))) % 139.78/139.99 (assume @p196 (forall @t185 (or @t183 @t182 @t181 @t180 (tptp.lt @t174 @t177)))) % 139.78/139.99 (assume @p197 (forall @t185 (or @t183 @t182 @t181 @t180 (not (tptp.leq @t174 @t177))))) % 139.78/139.99 (step @p198 :rule aci_norm :args ((= (or @t192 @t193) @t193))) % 139.78/139.99 (step @p199 :rule aci_norm :args ((= (or false @t192 @t191) @t193))) % 139.78/139.99 (step @p200 :rule refl :args (@t191)) % 139.78/139.99 (step @p201 :rule refl :args (@t192)) % 139.78/139.99 (step @p202 :rule evaluate :args ((not true))) % 139.78/139.99 (step @p203 :rule eq-refl :args (tptp.nil)) % 139.78/139.99 (step @p204 :rule cong :premises (@p203) :args (@t194)) % 139.78/139.99 (step @p205 :rule trans :premises (@p204 @p202)) % 139.78/139.99 (step @p206 :rule nary_cong :premises (@p205 @p201 @p200) :args (@t195)) % 139.78/139.99 (step @p207 :rule trans :premises (@p206 @p199)) % 139.78/139.99 (step @p208 :rule quant-var-elim-eq :args ((= (forall @t197 (or (not (= @t40 tptp.nil)) @t137 @t65 @t196)) @t195))) % 139.78/139.99 (step @p209 :rule refl :args (@t196)) % 139.78/139.99 (step @p210 :rule refl :args (@t65)) % 139.78/139.99 (step @p211 :rule refl :args (@t137)) % 139.78/139.99 (step @p212 :rule eq-symm :args (tptp.nil @t40)) % 139.78/139.99 (step @p213 :rule cong :premises (@p212) :args (@t137)) % 139.78/139.99 (step @p214 :rule nary_cong :premises (@p213 @p211 @p210 @p209) :args (@t198)) % 139.78/139.99 (step @p215 :rule aci_norm :args ((= @t199 @t198))) % 139.78/139.99 (step @p216 :rule trans :premises (@p215 @p214)) % 139.78/139.99 (step @p217 :rule cong :premises (@p216) :args (@t200)) % 139.78/139.99 (step @p218 :rule trans :premises (@p217 @p208)) % 139.78/139.99 (step @p219 :rule trans :premises (@p218 @p207)) % 139.78/139.99 (step @p220 :rule nary_cong :premises (@p201 @p219) :args (@t201)) % 139.78/139.99 (step @p221 :rule trans :premises (@p220 @p198)) % 139.78/139.99 (step @p222 :rule quant-miniscope-or :args ((= (forall @t197 @t202) @t201))) % 139.78/139.99 (step @p223 :rule aci_norm :args ((= @t203 @t202))) % 139.78/139.99 (step @p224 :rule cong :premises (@p223) :args ((forall @t197 @t203))) % 139.78/139.99 (step @p225 :rule trans :premises (@p224 @p222)) % 139.78/139.99 (step @p226 :rule trans :premises (@p225 @p221)) % 139.78/139.99 (step @p227 :rule aci_norm :args ((= (or false @t137 @t65 @t192 @t196) @t203))) % 139.78/139.99 (step @p228 :rule refl :args (@t196)) % 139.78/139.99 (step @p229 :rule refl :args (@t65)) % 139.78/139.99 (step @p230 :rule refl :args (@t137)) % 139.78/139.99 (step @p231 :rule nary_cong :premises (@p205 @p230 @p229 @p201 @p228) :args (@t204)) % 139.78/139.99 (step @p232 :rule trans :premises (@p231 @p227)) % 139.78/139.99 (step @p233 :rule cong :premises (@p232) :args ((forall @t197 @t204))) % 139.78/139.99 (step @p234 :rule trans :premises (@p233 @p226)) % 139.78/139.99 (step @p235 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t61 @t137 @t65 @t47 @t205)) @t204))) % 139.78/139.99 (step @p236 :rule refl :args (@t205)) % 139.78/139.99 (step @p237 :rule refl :args (@t47)) % 139.78/139.99 (step @p238 :rule refl :args (@t61)) % 139.78/139.99 (step @p239 :rule eq-symm :args (tptp.nil @t2)) % 139.78/139.99 (step @p240 :rule cong :premises (@p239) :args (@t61)) % 139.78/139.99 (step @p241 :rule nary_cong :premises (@p240 @p238 @p211 @p210 @p237 @p236) :args (@t206)) % 139.78/139.99 (step @p242 :rule aci_norm :args ((= @t207 @t206))) % 139.78/139.99 (step @p243 :rule trans :premises (@p242 @p241)) % 139.78/139.99 (step @p244 :rule cong :premises (@p243) :args (@t208)) % 139.78/139.99 (step @p245 :rule trans :premises (@p244 @p235)) % 139.78/139.99 (step @p246 :rule cong :premises (@p245) :args (@t209)) % 139.78/139.99 (step @p247 :rule quant-merge-prenex :args ((= @t209 @t210))) % 139.78/139.99 (step @p248 :rule symm :premises (@p247)) % 139.78/139.99 (step @p249 :rule quant_var_reordering :args ((= (forall @t41 @t207) @t210))) % 139.78/139.99 (step @p250 :rule trans :premises (@p249 @p248 @p246)) % 139.78/139.99 (step @p251 :rule trans :premises (@p250 @p234)) % 139.78/139.99 (step @p252 :rule eq-symm :args (@t99 tptp.nil)) % 139.78/139.99 (step @p253 :rule refl :args (@t47)) % 139.78/139.99 (step @p254 :rule refl :args (@t61)) % 139.78/139.99 (step @p255 :rule nary_cong :premises (@p254 @p230 @p229 @p253 @p252) :args (@t138)) % 139.78/139.99 (step @p256 :rule cong :premises (@p255) :args (@t139)) % 139.78/139.99 (step @p257 :rule trans :premises (@p256 @p251)) % 139.78/139.99 (step @p258 :rule eq_resolve :premises (@p142 @p257)) % 139.78/139.99 (step @p259 :rule chain_m_resolution :premises (@p258 @p8) :args (@t191 @t211 (@list @t1))) % 139.78/139.99 (step @p260 :rule eq-symm :args (@t51 @t2)) % 139.78/139.99 (step @p261 :rule nary_cong :premises (@p253 @p260) :args (@t52)) % 139.78/139.99 (step @p262 :rule cong :premises (@p261) :args (@t53)) % 139.78/139.99 (step @p263 :rule eq_resolve :premises (@p73 @p262)) % 139.78/139.99 (step @p264 :rule instantiate :premises (@p263) 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@p729 :rule scope :premises (@p728)) % 139.78/139.99 (step-pop @p730 :rule scope :premises (@p729)) % 139.78/139.99 (step-pop @p731 :rule scope :premises (@p730)) % 139.78/139.99 (step-pop @p732 :rule scope :premises (@p731)) % 139.78/139.99 (step-pop @p733 :rule scope :premises (@p732)) % 139.78/139.99 (step-pop @p734 :rule scope :premises (@p733)) % 139.78/139.99 (step-pop @p735 :rule scope :premises (@p734)) % 139.78/139.99 (step-pop @p736 :rule scope :premises (@p735)) % 139.78/139.99 (step @p487 :rule process_scope :premises (@p736) :args (@t309)) % 139.78/139.99 (step @p497 :rule and_intro :premises (@p259 @p410 @p712 @p276 @p424 @p385 @p396 @p443 @p404)) % 139.78/139.99 (step @p498 :rule modus_ponens :premises (@p497 @p487)) % 139.78/139.99 (step-pop @p737 :rule scope :premises (@p498)) % 139.78/139.99 (step-pop @p738 :rule scope :premises (@p737)) % 139.78/139.99 (step-pop @p739 :rule scope :premises (@p738)) % 139.78/139.99 (step-pop @p740 :rule scope :premises (@p739)) % 139.78/139.99 (step-pop @p741 :rule scope :premises (@p740)) % 139.78/139.99 (step-pop @p742 :rule scope :premises (@p741)) % 139.78/139.99 (step-pop @p743 :rule scope :premises (@p742)) % 139.78/139.99 (step-pop @p744 :rule scope :premises (@p743)) % 139.78/139.99 (step-pop @p745 :rule scope :premises (@p744)) % 139.78/139.99 (step @p499 :rule process_scope :premises (@p745) :args (@t309)) % 139.78/139.99 (step @p509 :rule implies_elim :premises (@p499)) % 139.78/139.99 (step @p510 :rule cnf_and_neg :args (@t310)) % 139.78/139.99 (step @p511 :rule resolution :premises (@p510 @p509) :args (true @t310)) % 139.78/139.99 (step @p512 :rule eq-symm :args (@t73 @t40)) % 139.78/139.99 (step @p513 :rule nary_cong :premises (@p387 @p229 @p512) :args (@t74)) % 139.78/139.99 (step @p514 :rule cong :premises (@p513) :args (@t75)) % 139.78/139.99 (step @p515 :rule eq_resolve :premises (@p94 @p514)) % 139.78/139.99 (step @p516 :rule instantiate :premises (@p515) :args (@t265)) % 139.78/139.99 (step @p517 :rule cnf_or_pos :args (@t313)) % 139.78/139.99 (step @p518 :rule reordering :premises (@p517) :args ((or @t271 @t269 @t312 (not @t313)))) % 139.78/139.99 (step @p519 :rule chain_m_resolution :premises (@p518 @p393 @p392 @p516) :args (@t312 @t273 (@list @t270 @t268 @t313))) % 139.78/139.99 (assume-push @p746 @t191) % 139.78/139.99 (assume-push @p747 @t262) % 139.78/139.99 (assume-push @p748 @t304) % 139.78/139.99 (assume-push @p749 @t220) % 139.78/139.99 (assume-push @p750 @t312) % 139.78/139.99 (assume-push @p751 @t267) % 139.78/139.99 (assume-push @p752 @t281) % 139.78/139.99 (assume-push @p753 @t276) % 139.78/139.99 (assume-push @p754 @t290) % 139.78/139.99 (assume-push @p755 @t301) % 139.78/139.99 (assume-push @p756 @t262) % 139.78/139.99 (assume-push @p757 @t312) % 139.78/139.99 (assume-push @p758 @t191) % 139.78/139.99 (assume-push @p759 @t281) % 139.78/139.99 (assume-push @p760 @t304) % 139.78/139.99 (assume-push @p761 @t220) % 139.78/139.99 (assume-push @p762 @t290) % 139.78/139.99 (assume-push @p763 @t267) % 139.78/139.99 (assume-push @p764 @t301) % 139.78/139.99 (assume-push @p765 @t276) % 139.78/139.99 (step @p470 :rule symm :premises (@p385)) % 139.78/139.99 (step @p540 :rule cong :premises (@p470) :args (@t311)) % 139.78/139.99 (step @p541 :rule trans :premises (@p519 @p540)) % 139.78/139.99 (step @p542 :rule refl :args (@t307)) % 139.78/139.99 (step @p543 :rule cong :premises (@p542 @p541) :args (@t308)) % 139.78/139.99 (step @p462 :rule refl :args (@t259)) % 139.78/139.99 (step @p463 :rule symm :premises (@p259)) % 139.78/139.99 (step @p464 :rule refl :args (@t279)) % 139.78/139.99 (step @p465 :rule cong :premises (@p464 @p463) :args (@t305)) % 139.78/139.99 (step @p466 :rule symm :premises (@p410)) % 139.78/139.99 (step @p544 :rule cong :premises (@p748) :args (@t292)) % 139.78/139.99 (step @p468 :rule cong :premises (@p331) :args (@t287)) % 139.78/139.99 (step @p545 :rule trans :premises (@p424 @p468 @p544 @p466)) % 139.78/139.99 (step @p471 :rule cong :premises (@p470) :args (@t266)) % 139.78/139.99 (step @p472 :rule trans :premises (@p396 @p471)) % 139.78/139.99 (step @p546 :rule trans :premises (@p472 @p545)) % 139.78/139.99 (step @p547 :rule cong :premises (@p546 @p259) :args (@t274)) % 139.78/139.99 (step @p475 :rule symm :premises (@p472)) % 139.78/139.99 (step @p476 :rule trans :premises (@p434 @p475)) % 139.78/139.99 (step @p477 :rule cong :premises (@p476 @p319) :args (@t293)) % 139.78/139.99 (step @p548 :rule trans :premises (@p477 @p547 @p465)) % 139.78/139.99 (step @p549 :rule cong :premises (@p319 @p548) :args (@t300)) % 139.78/139.99 (step @p480 :rule symm :premises (@p477)) % 139.78/139.99 (step @p481 :rule cong :premises (@p475 @p319) :args (@t306)) % 139.78/139.99 (step @p550 :rule trans :premises (@p481 @p480 @p443 @p549)) % 139.78/139.99 (step @p483 :rule symm :premises (@p481)) % 139.78/139.99 (step @p551 :rule trans :premises (@p483 @p550)) % 139.78/139.99 (step @p552 :rule cong :premises (@p551 @p462) :args (@t275)) % 139.78/139.99 (step @p553 :rule trans :premises (@p385 @p404 @p552 @p543)) % 139.78/139.99 (step-pop @p766 :rule scope :premises (@p553)) % 139.78/139.99 (step-pop @p767 :rule scope :premises (@p766)) % 139.78/139.99 (step-pop @p768 :rule scope :premises (@p767)) % 139.78/139.99 (step-pop @p769 :rule scope :premises (@p768)) % 139.78/139.99 (step-pop @p770 :rule scope :premises (@p769)) % 139.78/139.99 (step-pop @p771 :rule scope :premises (@p770)) % 139.78/139.99 (step-pop @p772 :rule scope :premises (@p771)) % 139.78/139.99 (step-pop @p773 :rule scope :premises (@p772)) % 139.78/139.99 (step-pop @p774 :rule scope :premises (@p773)) % 139.78/139.99 (step-pop @p775 :rule scope :premises (@p774)) % 139.78/139.99 (step @p554 :rule process_scope :premises (@p775) :args (@t315)) % 139.78/139.99 (step @p565 :rule and_intro :premises (@p385 @p519 @p259 @p410 @p748 @p276 @p424 @p396 @p443 @p404)) % 139.78/139.99 (step @p566 :rule modus_ponens :premises (@p565 @p554)) % 139.78/139.99 (step-pop @p776 :rule scope :premises (@p566)) % 139.78/139.99 (step-pop @p777 :rule scope :premises (@p776)) % 139.78/139.99 (step-pop @p778 :rule scope :premises (@p777)) % 139.78/139.99 (step-pop @p779 :rule scope :premises (@p778)) % 139.78/139.99 (step-pop @p780 :rule scope :premises (@p779)) % 139.78/139.99 (step-pop @p781 :rule scope :premises (@p780)) % 139.78/139.99 (step-pop @p782 :rule scope :premises (@p781)) % 139.78/139.99 (step-pop @p783 :rule scope :premises (@p782)) % 139.78/139.99 (step-pop @p784 :rule scope :premises (@p783)) % 139.78/139.99 (step-pop @p785 :rule scope :premises (@p784)) % 139.78/139.99 (step @p567 :rule process_scope :premises (@p785) :args (@t315)) % 139.78/139.99 (step @p578 :rule implies_elim :premises (@p567)) % 139.78/139.99 (step @p579 :rule cnf_and_neg :args (@t316)) % 139.78/139.99 (step @p580 :rule resolution :premises (@p579 @p578) :args (true @t316)) % 139.78/139.99 (step @p581 :rule refl :args (@t178)) % 139.78/139.99 (step @p582 :rule refl :args (@t179)) % 139.78/139.99 (step @p583 :rule cong :premises (@p188 @p582) :args (@t317)) % 139.78/139.99 (step @p584 :rule cong :premises (@p583) :args (@t318)) % 139.78/139.99 (step @p585 :rule refl :args (@t181)) % 139.78/139.99 (step @p586 :rule refl :args (@t182)) % 139.78/139.99 (step @p587 :rule refl :args (@t183)) % 139.78/139.99 (step @p588 :rule nary_cong :premises (@p587 @p586 @p585 @p584 @p581) :args (@t319)) % 139.78/139.99 (step @p589 :rule cong :premises (@p588) :args ((forall @t185 @t319))) % 139.78/139.99 (step @p590 :rule eq-symm :args (@t179 tptp.sk1)) % 139.78/139.99 (step @p591 :rule cong :premises (@p590) :args (@t180)) % 139.78/139.99 (step @p592 :rule nary_cong :premises (@p587 @p586 @p585 @p591 @p581) :args (@t184)) % 139.78/139.99 (step @p593 :rule cong :premises (@p592) :args (@t186)) % 139.78/139.99 (step @p594 :rule trans :premises (@p593 @p589)) % 139.78/139.99 (step @p595 :rule eq_resolve :premises (@p193 @p594)) % 139.78/139.99 (step @p596 :rule instantiate :premises (@p595) :args ((@list @t279 tptp.nil @t259))) % 139.78/139.99 (step @p597 :rule cnf_or_pos :args (@t322)) % 139.78/139.99 (step @p598 :rule reordering :premises (@p597) :args ((or @t192 @t285 @t269 @t321 @t320 (not @t322)))) % 139.78/139.99 (step @p599 :rule instantiate :premises (@p75) :args (@t258)) % 139.78/139.99 (step @p600 :rule cnf_or_pos :args (@t324)) % 139.78/139.99 (step @p601 :rule reordering :premises (@p600) :args ((or @t235 @t221 @t323 (not @t324)))) % 139.78/139.99 (step @p602 :rule chain_m_resolution :premises (@p601 @p322 @p185 @p599) :args (@t323 @t264 (@list @t235 @t169 @t324))) % 139.78/139.99 (step @p603 :rule refl :args (@t187)) % 139.78/139.99 (step @p604 :rule nary_cong :premises (@p587 @p586 @p585 @p584 @p603) :args (@t325)) % 139.78/139.99 (step @p605 :rule cong :premises (@p604) :args ((forall @t185 @t325))) % 139.78/139.99 (step @p606 :rule nary_cong :premises (@p587 @p586 @p585 @p591 @p603) :args (@t188)) % 139.78/139.99 (step @p607 :rule cong :premises (@p606) :args (@t189)) % 139.78/139.99 (step @p608 :rule trans :premises (@p607 @p605)) % 139.78/139.99 (step @p609 :rule eq_resolve :premises (@p194 @p608)) % 139.78/139.99 (step @p610 :rule instantiate :premises (@p609) :args ((@list @t279 tptp.nil @t314))) % 139.78/139.99 (step @p611 :rule cnf_or_pos :args (@t330)) % 139.78/139.99 (step @p612 :rule reordering :premises (@p611) :args ((or @t192 @t285 @t329 @t328 @t327 (not @t330)))) % 139.78/139.99 (step @p613 :rule instantiate :premises (@p71) :args ((@list @t326))) % 139.78/139.99 (step @p614 :rule cnf_or_pos :args (@t334)) % 139.78/139.99 (step @p615 :rule reordering :premises (@p614) :args ((or @t333 @t332 (not @t334)))) % 139.78/139.99 (assume-push @p786 @t262) % 139.78/139.99 (assume-push @p787 @t312) % 139.78/139.99 (assume-push @p788 @t320) % 139.78/139.99 (assume-push @p789 @t320) % 139.78/139.99 (assume-push @p790 @t312) % 139.78/139.99 (assume-push @p791 @t262) % 139.78/139.99 (step @p622 :rule true_intro :premises (@p788)) % 139.78/139.99 (step @p464 :rule refl :args (@t279)) % 139.78/139.99 (step @p623 :rule symm :premises (@p519)) % 139.78/139.99 (step @p624 :rule cong :premises (@p385) :args (@t314)) % 139.78/139.99 (step @p625 :rule trans :premises (@p624 @p623)) % 139.78/139.99 (step @p626 :rule cong :premises (@p625 @p319 @p464) :args (@t326)) % 139.78/139.99 (step @p627 :rule cong :premises (@p626) :args (@t331)) % 139.78/139.99 (step @p628 :rule trans :premises (@p627 @p622)) % 139.78/139.99 (step @p629 :rule true_elim :premises (@p628)) % 139.78/139.99 (step-pop @p792 :rule scope :premises (@p629)) % 139.78/139.99 (step-pop @p793 :rule scope :premises (@p792)) % 139.78/139.99 (step-pop @p794 :rule scope :premises (@p793)) % 139.78/139.99 (step @p630 :rule process_scope :premises (@p794) :args (@t331)) % 139.78/139.99 (step @p634 :rule and_intro :premises (@p788 @p519 @p385)) % 139.78/139.99 (step @p635 :rule modus_ponens :premises (@p634 @p630)) % 139.78/139.99 (step-pop @p795 :rule scope :premises (@p635)) % 139.78/139.99 (step-pop @p796 :rule scope :premises (@p795)) % 139.78/139.99 (step-pop @p797 :rule scope :premises (@p796)) % 139.78/139.99 (step @p636 :rule process_scope :premises (@p797) :args (@t331)) % 139.78/139.99 (step @p640 :rule implies_elim :premises (@p636)) % 139.78/139.99 (step @p641 :rule cnf_and_neg :args (@t335)) % 139.78/139.99 (step @p642 :rule resolution :premises (@p641 @p640) :args (true @t335)) % 139.78/139.99 (step @p643 :rule chain_m_resolution :premises (@p642 @p519 @p385 @p615 @p613 @p612 @p610 @p602 @p407 @p8 @p598 @p596 @p392 @p407 @p8 @p580 @p443 @p424 @p410 @p404 @p396 @p519 @p276 @p385 @p259 @p511 @p443 @p424 @p410 @p404 @p396 @p276 @p385 @p259) :args ((not @t304) (@list false false true false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false) (@list @t312 @t262 @t331 @t334 @t327 @t330 @t323 @t284 @t1 @t320 @t322 @t268 @t284 @t1 @t315 @t301 @t290 @t281 @t276 @t267 @t312 @t220 @t262 @t191 @t309 @t301 @t290 @t281 @t276 @t267 @t220 @t262 @t191))) % 139.78/139.99 (step @p644 :rule cnf_or_pos :args (@t337)) % 139.78/139.99 (step @p645 :rule reordering :premises (@p644) :args ((or @t214 @t336 @t304 (not @t337)))) % 139.78/139.99 (step @p646 :rule chain_m_resolution :premises (@p645 @p186 @p643 @p381) :args (@t336 (@list false true false) (@list @t170 @t304 @t337))) % 139.78/139.99 (step @p647 :rule bool-double-not-elim :args (@t255)) % 139.78/139.99 (step @p648 :rule refl :args (@t338)) % 139.78/139.99 (step @p649 :rule refl :args (@t339)) % 139.78/139.99 (step @p650 :rule refl :args (@t340)) % 139.78/139.99 (step @p651 :rule refl :args (@t341)) % 139.78/139.99 (step @p652 :rule refl :args (@t342)) % 139.78/139.99 (step @p653 :rule refl :args (@t343)) % 139.78/139.99 (step @p654 :rule nary_cong :premises (@p653 @p652 @p651 @p650 @p649 @p648 @p647) :args ((or @t343 @t342 @t341 @t340 @t339 @t338 (not @t256)))) % 139.78/139.99 (assume-push @p798 @t230) % 139.78/139.99 (assume-push @p799 @t226) % 139.78/139.99 (assume-push @p800 @t191) % 139.78/139.99 (assume-push @p801 @t336) % 139.78/139.99 (assume-push @p802 @t213) % 139.78/139.99 (assume-push @p803 @t220) % 139.78/139.99 (assume-push @p804 @t256) % 139.78/139.99 (step @p662 :rule evaluate :args ((= false true))) % 139.78/139.99 (step @p663 :rule true_intro :premises (@p289)) % 139.78/139.99 (step @p664 :rule symm :premises (@p285)) % 139.78/139.99 (step @p463 :rule symm :premises (@p259)) % 139.78/139.99 (step @p665 :rule cong :premises (@p463 @p329) :args (@t344)) % 139.78/139.99 (step @p666 :rule trans :premises (@p665 @p664)) % 139.78/139.99 (step @p667 :rule cong :premises (@p666 @p319) :args ((tptp.segmentP @t344 tptp.nil))) % 139.78/139.99 (step @p668 :rule symm :premises (@p801)) % 139.78/139.99 (step @p669 :rule trans :premises (@p332 @p330 @p668)) % 139.78/139.99 (step @p670 :rule symm :premises (@p666)) % 139.78/139.99 (step @p671 :rule cong :premises (@p670 @p669) :args (@t255)) % 139.78/139.99 (step @p672 :rule false_intro :premises (@p375)) % 139.78/139.99 (step @p673 :rule symm :premises (@p672)) % 139.78/139.99 (step @p674 :rule trans :premises (@p673 @p671 @p667 @p663)) % 139.78/139.99 (step @p675 false :rule eq_resolve :premises (@p674 @p662)) % 139.78/139.99 (step-pop @p805 :rule scope :premises (@p675)) % 139.78/139.99 (step-pop @p806 :rule scope :premises (@p805)) % 139.78/139.99 (step-pop @p807 :rule scope :premises (@p806)) % 139.78/139.99 (step-pop @p808 :rule scope :premises (@p807)) % 139.78/139.99 (step-pop @p809 :rule scope :premises (@p808)) % 139.78/139.99 (step-pop @p810 :rule scope :premises (@p809)) % 139.78/139.99 (step-pop @p811 :rule scope :premises (@p810)) % 139.78/139.99 (step @p676 :rule process_scope :premises (@p811) :args (false)) % 139.78/139.99 (assume-push @p812 @t191) % 139.78/139.99 (assume-push @p813 @t213) % 139.78/139.99 (assume-push @p814 @t336) % 139.78/139.99 (assume-push @p815 @t220) % 139.78/139.99 (assume-push @p816 @t226) % 139.78/139.99 (assume-push @p817 @t230) % 139.78/139.99 (assume-push @p818 @t256) % 139.78/139.99 (step @p691 :rule and_intro :premises (@p289 @p285 @p259 @p814 @p267 @p276 @p375)) % 139.78/139.99 (step-pop @p819 :rule scope :premises (@p691)) % 139.78/139.99 (step-pop @p820 :rule scope :premises (@p819)) % 139.78/139.99 (step-pop @p821 :rule scope :premises (@p820)) % 139.78/139.99 (step-pop @p822 :rule scope :premises (@p821)) % 139.78/139.99 (step-pop @p823 :rule scope :premises (@p822)) % 139.78/139.99 (step-pop @p824 :rule scope :premises (@p823)) % 139.78/139.99 (step-pop @p825 :rule scope :premises (@p824)) % 139.78/139.99 (step @p692 :rule process_scope :premises (@p825) :args (@t345)) % 139.78/139.99 (step @p700 :rule implies_elim :premises (@p692)) % 139.78/139.99 (step @p701 :rule resolution :premises (@p700 @p676) :args (true @t345)) % 139.78/139.99 (step @p702 :rule not_and :premises (@p701)) % 139.78/139.99 (step @p703 :rule eq_resolve :premises (@p702 @p654)) % 139.78/139.99 (step @p704 :rule reordering :premises (@p703) :args ((or @t343 @t342 @t341 @t340 @t339 @t255 @t338))) % 139.78/139.99 (step @p705 false :rule chain_m_resolution :premises (@p704 @p646 @p375 @p289 @p285 @p276 @p267 @p259) :args (false (@list false true false false false false false) (@list @t336 @t255 @t230 @t226 @t220 @t213 @t191))) % 139.78/139.99 ) % 139.78/140.00 % SZS output end Proof % 139.78/140.00 % cvc5 exiting %------------------------------------------------------------------------------