%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC111-1 : 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 08:58:06 AM UTC 2026 % Result : Unsatisfiable 65.87s 66.08s % Output : Proof 65.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC111-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n006.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 19:15:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/16.17 --- Run --no-e-matching --full-saturate-quant at 6... % 22.03/22.20 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.03/28.24 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.14/34.32 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.14/64.39 --- Run --trigger-sel=max --full-saturate-quant at 15... % 65.87/66.08 % SZS status Unsatisfiable % 65.87/66.08 % SZS output start Proof % 65.87/66.09 ( % 65.87/66.09 (declare-sort $$unsorted 0) % 65.87/66.09 (declare-const tptp.sk4 $$unsorted) % 65.87/66.09 (declare-const tptp.sk2 $$unsorted) % 65.87/66.09 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.nil $$unsorted) % 65.87/66.09 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.sk1 $$unsorted) % 65.87/66.09 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.skac2 $$unsorted) % 65.87/66.09 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.sk3 $$unsorted) % 65.87/66.09 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.ssList (-> $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skac3 $$unsorted) % 65.87/66.09 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 65.87/66.09 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 65.87/66.09 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 65.87/66.09 (define @t1 () (tptp.ssList tptp.nil)) % 65.87/66.09 (define @t2 () (@var "U" $$unsorted)) % 65.87/66.09 (define @t3 () (tptp.skaf83 @t2)) % 65.87/66.09 (define @t4 () (@list @t2)) % 65.87/66.09 (define @t5 () (tptp.skaf82 @t2)) % 65.87/66.09 (define @t6 () (tptp.skaf81 @t2)) % 65.87/66.09 (define @t7 () (tptp.skaf80 @t2)) % 65.87/66.09 (define @t8 () (tptp.skaf79 @t2)) % 65.87/66.09 (define @t9 () (tptp.skaf78 @t2)) % 65.87/66.09 (define @t10 () (tptp.skaf77 @t2)) % 65.87/66.09 (define @t11 () (tptp.skaf76 @t2)) % 65.87/66.09 (define @t12 () (tptp.skaf75 @t2)) % 65.87/66.09 (define @t13 () (tptp.skaf74 @t2)) % 65.87/66.09 (define @t14 () (tptp.skaf73 @t2)) % 65.87/66.09 (define @t15 () (tptp.skaf72 @t2)) % 65.87/66.09 (define @t16 () (tptp.skaf71 @t2)) % 65.87/66.09 (define @t17 () (tptp.skaf70 @t2)) % 65.87/66.09 (define @t18 () (tptp.skaf69 @t2)) % 65.87/66.09 (define @t19 () (tptp.skaf68 @t2)) % 65.87/66.09 (define @t20 () (tptp.skaf67 @t2)) % 65.87/66.09 (define @t21 () (tptp.skaf66 @t2)) % 65.87/66.09 (define @t22 () (tptp.skaf65 @t2)) % 65.87/66.09 (define @t23 () (tptp.skaf64 @t2)) % 65.87/66.09 (define @t24 () (tptp.skaf63 @t2)) % 65.87/66.09 (define @t25 () (tptp.skaf62 @t2)) % 65.87/66.09 (define @t26 () (tptp.skaf61 @t2)) % 65.87/66.09 (define @t27 () (tptp.skaf60 @t2)) % 65.87/66.09 (define @t28 () (tptp.skaf59 @t2)) % 65.87/66.09 (define @t29 () (tptp.skaf58 @t2)) % 65.87/66.09 (define @t30 () (tptp.skaf57 @t2)) % 65.87/66.09 (define @t31 () (tptp.skaf56 @t2)) % 65.87/66.09 (define @t32 () (tptp.skaf55 @t2)) % 65.87/66.09 (define @t33 () (tptp.skaf54 @t2)) % 65.87/66.09 (define @t34 () (tptp.skaf53 @t2)) % 65.87/66.09 (define @t35 () (tptp.skaf52 @t2)) % 65.87/66.09 (define @t36 () (tptp.skaf51 @t2)) % 65.87/66.09 (define @t37 () (tptp.skaf50 @t2)) % 65.87/66.09 (define @t38 () (tptp.skaf49 @t2)) % 65.87/66.09 (define @t39 () (tptp.skaf44 @t2)) % 65.87/66.09 (define @t40 () (@var "V" $$unsorted)) % 65.87/66.09 (define @t41 () (@list @t2 @t40)) % 65.87/66.09 (define @t42 () (tptp.skaf47 @t2 @t40)) % 65.87/66.09 (define @t43 () (tptp.skaf46 @t2 @t40)) % 65.87/66.09 (define @t44 () (tptp.skaf45 @t2 @t40)) % 65.87/66.09 (define @t45 () (tptp.skaf42 @t2 @t40)) % 65.87/66.09 (define @t46 () (not (tptp.ssItem @t2))) % 65.87/66.09 (define @t47 () (not (tptp.ssList @t2))) % 65.87/66.09 (define @t48 () (tptp.cons @t2 tptp.nil)) % 65.87/66.09 (define @t49 () (tptp.ssItem @t40)) % 65.87/66.09 (define @t50 () (tptp.duplicatefreeP @t2)) % 65.87/66.09 (define @t51 () (tptp.app tptp.nil @t2)) % 65.87/66.09 (define @t52 () (or @t47 (= @t51 @t2))) % 65.87/66.09 (define @t53 () (forall @t4 @t52)) % 65.87/66.09 (define @t54 () (= tptp.nil @t2)) % 65.87/66.09 (define @t55 () (tptp.tl @t2)) % 65.87/66.09 (define @t56 () (tptp.hd @t2)) % 65.87/66.09 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 65.87/66.09 (define @t58 () (not @t54)) % 65.87/66.09 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 65.87/66.09 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 65.87/66.09 (define @t61 () (tptp.app @t40 @t2)) % 65.87/66.09 (define @t62 () (not (tptp.ssList @t40))) % 65.87/66.09 (define @t63 () (tptp.cons @t2 @t40)) % 65.87/66.09 (define @t64 () (tptp.cyclefreeP @t2)) % 65.87/66.09 (define @t65 () (tptp.equalelemsP @t2)) % 65.87/66.09 (define @t66 () (tptp.strictorderedP @t2)) % 65.87/66.09 (define @t67 () (tptp.totalorderedP @t2)) % 65.87/66.09 (define @t68 () (tptp.strictorderP @t2)) % 65.87/66.09 (define @t69 () (tptp.totalorderP @t2)) % 65.87/66.09 (define @t70 () (tptp.tl @t63)) % 65.87/66.09 (define @t71 () (or @t46 @t62 (= @t70 @t40))) % 65.87/66.09 (define @t72 () (forall @t41 @t71)) % 65.87/66.09 (define @t73 () (tptp.hd @t63)) % 65.87/66.09 (define @t74 () (or @t46 @t62 (= @t73 @t2))) % 65.87/66.09 (define @t75 () (forall @t41 @t74)) % 65.87/66.09 (define @t76 () (not (= @t63 tptp.nil))) % 65.87/66.09 (define @t77 () (or @t76 @t46 @t62)) % 65.87/66.09 (define @t78 () (forall @t41 @t77)) % 65.87/66.09 (define @t79 () (= @t40 @t2)) % 65.87/66.09 (define @t80 () (tptp.neq @t40 @t2)) % 65.87/66.09 (define @t81 () (or @t47 @t62 @t80 @t79)) % 65.87/66.09 (define @t82 () (forall @t41 @t81)) % 65.87/66.09 (define @t83 () (not @t49)) % 65.87/66.09 (define @t84 () (tptp.leq @t2 @t40)) % 65.87/66.09 (define @t85 () (tptp.lt @t2 @t40)) % 65.87/66.09 (define @t86 () (not @t85)) % 65.87/66.09 (define @t87 () (tptp.lt @t40 @t2)) % 65.87/66.09 (define @t88 () (not (tptp.gt @t2 @t40))) % 65.87/66.09 (define @t89 () (tptp.gt @t40 @t2)) % 65.87/66.09 (define @t90 () (tptp.leq @t40 @t2)) % 65.87/66.09 (define @t91 () (not (tptp.geq @t2 @t40))) % 65.87/66.09 (define @t92 () (tptp.geq @t40 @t2)) % 65.87/66.09 (define @t93 () (not @t84)) % 65.87/66.09 (define @t94 () (tptp.cons @t3 @t5)) % 65.87/66.09 (define @t95 () (or @t47 (= @t94 @t2) @t54)) % 65.87/66.09 (define @t96 () (forall @t4 @t95)) % 65.87/66.09 (define @t97 () (= @t2 @t40)) % 65.87/66.09 (define @t98 () (not @t97)) % 65.87/66.09 (define @t99 () (tptp.cons @t40 @t2)) % 65.87/66.09 (define @t100 () (not (tptp.neq @t2 @t40))) % 65.87/66.09 (define @t101 () (tptp.app @t2 @t40)) % 65.87/66.09 (define @t102 () (= @t101 tptp.nil)) % 65.87/66.09 (define @t103 () (not @t102)) % 65.87/66.09 (define @t104 () (= tptp.nil @t40)) % 65.87/66.09 (define @t105 () (tptp.app @t48 @t40)) % 65.87/66.09 (define @t106 () (or @t46 @t62 (= @t105 @t63))) % 65.87/66.09 (define @t107 () (forall @t41 @t106)) % 65.87/66.09 (define @t108 () (tptp.hd @t40)) % 65.87/66.09 (define @t109 () (tptp.strictorderedP @t40)) % 65.87/66.09 (define @t110 () (tptp.strictorderedP @t63)) % 65.87/66.09 (define @t111 () (not @t110)) % 65.87/66.09 (define @t112 () (tptp.totalorderedP @t40)) % 65.87/66.09 (define @t113 () (tptp.totalorderedP @t63)) % 65.87/66.09 (define @t114 () (not @t113)) % 65.87/66.09 (define @t115 () (not (tptp.segmentP @t2 @t40))) % 65.87/66.09 (define @t116 () (not (tptp.rearsegP @t2 @t40))) % 65.87/66.09 (define @t117 () (not (tptp.frontsegP @t2 @t40))) % 65.87/66.09 (define @t118 () (not @t90)) % 65.87/66.09 (define @t119 () (tptp.tl @t40)) % 65.87/66.09 (define @t120 () (tptp.lt @t2 @t108)) % 65.87/66.09 (define @t121 () (tptp.leq @t2 @t108)) % 65.87/66.09 (define @t122 () (@var "W" $$unsorted)) % 65.87/66.09 (define @t123 () (tptp.app @t122 @t2)) % 65.87/66.09 (define @t124 () (not (tptp.ssList @t122))) % 65.87/66.09 (define @t125 () (@list @t2 @t40 @t122)) % 65.87/66.09 (define @t126 () (tptp.app @t2 @t122)) % 65.87/66.09 (define @t127 () (tptp.cons @t40 @t122)) % 65.87/66.09 (define @t128 () (tptp.cons @t122 @t2)) % 65.87/66.09 (define @t129 () (not (tptp.ssItem @t122))) % 65.87/66.09 (define @t130 () (not (tptp.memberP @t2 @t40))) % 65.87/66.09 (define @t131 () (not (= @t101 @t122))) % 65.87/66.09 (define @t132 () (tptp.lt @t2 @t122)) % 65.87/66.09 (define @t133 () (not (tptp.lt @t40 @t122))) % 65.87/66.09 (define @t134 () (tptp.app @t122 @t40)) % 65.87/66.09 (define @t135 () (= @t40 @t122)) % 65.87/66.09 (define @t136 () (= @t2 @t122)) % 65.87/66.09 (define @t137 () (tptp.memberP @t40 @t122)) % 65.87/66.09 (define @t138 () (@var "X" $$unsorted)) % 65.87/66.09 (define @t139 () (not (tptp.ssList @t138))) % 65.87/66.09 (define @t140 () (tptp.cons @t122 @t138)) % 65.87/66.09 (define @t141 () (not (= @t63 @t140))) % 65.87/66.09 (define @t142 () (@list @t2 @t40 @t122 @t138)) % 65.87/66.09 (define @t143 () (not (tptp.frontsegP @t63 @t140))) % 65.87/66.09 (define @t144 () (tptp.app @t2 @t127)) % 65.87/66.09 (define @t145 () (not (tptp.ssItem @t138))) % 65.87/66.09 (define @t146 () (@var "Y" $$unsorted)) % 65.87/66.09 (define @t147 () (not (tptp.ssList @t146))) % 65.87/66.09 (define @t148 () (@list @t2 @t40 @t122 @t138 @t146)) % 65.87/66.09 (define @t149 () (tptp.lt @t40 @t138)) % 65.87/66.09 (define @t150 () (@var "Z" $$unsorted)) % 65.87/66.09 (define @t151 () (not (tptp.ssList @t150))) % 65.87/66.09 (define @t152 () (not (= (tptp.app @t144 (tptp.cons @t138 @t146)) @t150))) % 65.87/66.09 (define @t153 () (@list @t2 @t40 @t122 @t138 @t146 @t150)) % 65.87/66.09 (define @t154 () (tptp.leq @t40 @t138)) % 65.87/66.09 (define @t155 () (tptp.ssList tptp.sk3)) % 65.87/66.09 (define @t156 () (tptp.ssList tptp.sk4)) % 65.87/66.09 (define @t157 () (tptp.segmentP tptp.sk4 tptp.sk3)) % 65.87/66.09 (define @t158 () (@var "A" $$unsorted)) % 65.87/66.09 (define @t159 () (tptp.neq tptp.sk2 tptp.nil)) % 65.87/66.09 (define @t160 () (= tptp.nil tptp.sk2)) % 65.87/66.09 (define @t161 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 65.87/66.09 (define @t162 () (not @t161)) % 65.87/66.09 (define @t163 () (tptp.neq tptp.sk1 tptp.nil)) % 65.87/66.09 (define @t164 () (not @t163)) % 65.87/66.09 (define @t165 () (or @t160 @t164 @t162)) % 65.87/66.09 (define @t166 () (= tptp.nil tptp.sk1)) % 65.87/66.09 (define @t167 () (not @t166)) % 65.87/66.09 (define @t168 () (or @t167 @t159)) % 65.87/66.09 (define @t169 () (or @t167 @t164 @t162)) % 65.87/66.09 (define @t170 () (@list tptp.sk4)) % 65.87/66.09 (define @t171 () (= tptp.nil tptp.sk4)) % 65.87/66.09 (define @t172 () (tptp.segmentP tptp.nil tptp.sk3)) % 65.87/66.09 (define @t173 () (and @t157 @t171)) % 65.87/66.09 (define @t174 () (= tptp.nil tptp.sk3)) % 65.87/66.09 (define @t175 () (not @t155)) % 65.87/66.09 (define @t176 () (not @t172)) % 65.87/66.09 (define @t177 () (or @t176 @t175 @t174)) % 65.87/66.09 (define @t178 () (not @t174)) % 65.87/66.09 (define @t179 () (tptp.neq tptp.sk4 tptp.nil)) % 65.87/66.09 (define @t180 () (tptp.neq tptp.sk3 tptp.nil)) % 65.87/66.09 (define @t181 () (not @t180)) % 65.87/66.09 (define @t182 () (not @t157)) % 65.87/66.09 (define @t183 () (and @t179 @t171 @t174)) % 65.87/66.09 (define @t184 () (not @t171)) % 65.87/66.09 (define @t185 () (tptp.skaf82 tptp.sk4)) % 65.87/66.09 (define @t186 () (tptp.skaf83 tptp.sk4)) % 65.87/66.09 (define @t187 () (tptp.cons @t186 @t185)) % 65.87/66.09 (define @t188 () (= tptp.sk4 @t187)) % 65.87/66.09 (define @t189 () (not @t156)) % 65.87/66.09 (define @t190 () (or @t189 @t188 @t171)) % 65.87/66.09 (define @t191 () (@list true false false)) % 65.87/66.09 (define @t192 () (@list @t186 @t185)) % 65.87/66.09 (define @t193 () (tptp.tl @t187)) % 65.87/66.09 (define @t194 () (= @t185 @t193)) % 65.87/66.09 (define @t195 () (tptp.ssList @t185)) % 65.87/66.09 (define @t196 () (not @t195)) % 65.87/66.09 (define @t197 () (tptp.ssItem @t186)) % 65.87/66.09 (define @t198 () (not @t197)) % 65.87/66.09 (define @t199 () (or @t198 @t196 @t194)) % 65.87/66.09 (define @t200 () (@list false false false)) % 65.87/66.09 (define @t201 () (tptp.hd @t187)) % 65.87/66.09 (define @t202 () (= @t186 @t201)) % 65.87/66.09 (define @t203 () (or @t198 @t196 @t202)) % 65.87/66.09 (define @t204 () (tptp.cons @t186 tptp.nil)) % 65.87/66.09 (define @t205 () (tptp.app @t204 @t185)) % 65.87/66.09 (define @t206 () (= @t187 @t205)) % 65.87/66.09 (define @t207 () (or @t198 @t196 @t206)) % 65.87/66.09 (define @t208 () (tptp.hd tptp.sk4)) % 65.87/66.09 (define @t209 () (tptp.cons @t208 tptp.nil)) % 65.87/66.09 (define @t210 () (@list @t209)) % 65.87/66.09 (define @t211 () (tptp.ssItem @t208)) % 65.87/66.09 (define @t212 () (or @t189 @t211 @t171)) % 65.87/66.09 (define @t213 () (tptp.ssList @t209)) % 65.87/66.09 (define @t214 () (not @t1)) % 65.87/66.09 (define @t215 () (not @t211)) % 65.87/66.09 (define @t216 () (or @t215 @t214 @t213)) % 65.87/66.09 (define @t217 () (tptp.app tptp.nil @t209)) % 65.87/66.09 (define @t218 () (= @t209 @t217)) % 65.87/66.09 (define @t219 () (not @t213)) % 65.87/66.09 (define @t220 () (or @t219 @t218)) % 65.87/66.09 (define @t221 () (@list false false)) % 65.87/66.09 (define @t222 () (tptp.segmentP @t209 tptp.nil)) % 65.87/66.09 (define @t223 () (or @t219 @t222)) % 65.87/66.09 (define @t224 () (or @t214 @t175 @t180 @t174)) % 65.87/66.09 (define @t225 () (tptp.segmentP @t209 tptp.sk3)) % 65.87/66.09 (define @t226 () (and @t174 @t222)) % 65.87/66.09 (define @t227 () (tptp.neq tptp.nil @t209)) % 65.87/66.09 (define @t228 () (or @t219 @t214 @t227 (= @t209 tptp.nil))) % 65.87/66.09 (define @t229 () (forall @t41 (or @t47 @t62 @t80 @t97))) % 65.87/66.09 (define @t230 () (= tptp.nil @t209)) % 65.87/66.09 (define @t231 () (or @t219 @t214 @t227 @t230)) % 65.87/66.09 (define @t232 () (= tptp.nil @t204)) % 65.87/66.09 (define @t233 () (not @t232)) % 65.87/66.09 (define @t234 () (or @t233 @t198 @t214)) % 65.87/66.09 (define @t235 () (not @t230)) % 65.87/66.09 (define @t236 () (not @t202)) % 65.87/66.09 (define @t237 () (not @t188)) % 65.87/66.09 (define @t238 () (and @t188 @t202 @t233)) % 65.87/66.09 (define @t239 () (tptp.neq tptp.sk3 @t209)) % 65.87/66.09 (define @t240 () (and @t174 @t227)) % 65.87/66.09 (define @t241 () (tptp.totalorderedP @t209)) % 65.87/66.09 (define @t242 () (or @t215 @t241)) % 65.87/66.09 (define @t243 () (not @t241)) % 65.87/66.09 (define @t244 () (not @t225)) % 65.87/66.09 (define @t245 () (tptp.segmentP tptp.sk4 @t209)) % 65.87/66.09 (define @t246 () (not @t245)) % 65.87/66.09 (define @t247 () (not @t239)) % 65.87/66.09 (define @t248 () (or @t219 @t247 @t246 @t244 @t243)) % 65.87/66.09 (define @t249 () (@list false false false false false)) % 65.87/66.09 (define @t250 () (tptp.tl tptp.sk4)) % 65.87/66.09 (define @t251 () (tptp.segmentP @t209 @t209)) % 65.87/66.09 (define @t252 () (or @t219 @t251)) % 65.87/66.09 (define @t253 () (tptp.ssList @t250)) % 65.87/66.09 (define @t254 () (and @t188 @t195 @t194)) % 65.87/66.09 (define @t255 () (not @t194)) % 65.87/66.09 (define @t256 () (tptp.segmentP (tptp.app @t217 @t250) @t209)) % 65.87/66.09 (define @t257 () (not @t253)) % 65.87/66.09 (define @t258 () (not @t251)) % 65.87/66.09 (define @t259 () (or @t258 @t257 @t214 @t219 @t219 @t256)) % 65.87/66.09 (define @t260 () (not @t256)) % 65.87/66.09 (define @t261 () (not @t218)) % 65.87/66.09 (define @t262 () (not @t206)) % 65.87/66.09 (define @t263 () (and @t256 @t218 @t188 @t202 @t194 @t206 @t246)) % 65.87/66.09 (assume @p1 (tptp.equalelemsP tptp.nil)) % 65.87/66.09 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 65.87/66.09 (assume @p3 (tptp.strictorderedP tptp.nil)) % 65.87/66.09 (assume @p4 (tptp.totalorderedP tptp.nil)) % 65.87/66.09 (assume @p5 (tptp.strictorderP tptp.nil)) % 65.87/66.09 (assume @p6 (tptp.totalorderP tptp.nil)) % 65.87/66.09 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 65.87/66.09 (assume @p8 @t1) % 65.87/66.09 (assume @p9 (tptp.ssItem tptp.skac3)) % 65.87/66.09 (assume @p10 (tptp.ssItem tptp.skac2)) % 65.87/66.09 (assume @p11 (not (tptp.singletonP tptp.nil))) % 65.87/66.09 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 65.87/66.09 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 65.87/66.09 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 65.87/66.09 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 65.87/66.09 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 65.87/66.09 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 65.87/66.09 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 65.87/66.09 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 65.87/66.09 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 65.87/66.09 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 65.87/66.09 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 65.87/66.09 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 65.87/66.09 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 65.87/66.09 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 65.87/66.09 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 65.87/66.09 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 65.87/66.09 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 65.87/66.09 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 65.87/66.09 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 65.87/66.09 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 65.87/66.09 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 65.87/66.09 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 65.87/66.09 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 65.87/66.09 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 65.87/66.09 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 65.87/66.09 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 65.87/66.09 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 65.87/66.09 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 65.87/66.09 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 65.87/66.09 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 65.87/66.09 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 65.87/66.09 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 65.87/66.09 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 65.87/66.09 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 65.87/66.09 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 65.87/66.09 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 65.87/66.09 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 65.87/66.09 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 65.87/66.09 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 65.87/66.09 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 65.87/66.09 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 65.87/66.09 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 65.87/66.09 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 65.87/66.09 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 65.87/66.09 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 65.87/66.09 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 65.87/66.09 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 65.87/66.09 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 65.87/66.09 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 65.87/66.09 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 65.87/66.09 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 65.87/66.09 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 65.87/66.09 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 65.87/66.09 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 65.87/66.09 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 65.87/66.09 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 65.87/66.09 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 65.87/66.09 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 65.87/66.09 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 65.87/66.09 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 65.87/66.09 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 65.87/66.09 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 65.87/66.09 (assume @p74 @t53) % 65.87/66.09 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 65.87/66.09 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 65.87/66.09 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 65.87/66.09 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 65.87/66.09 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 65.87/66.09 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 65.87/66.09 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 65.87/66.09 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 65.87/66.09 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 65.87/66.09 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 65.87/66.09 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 65.87/66.09 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 65.87/66.09 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 65.87/66.09 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 65.87/66.09 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 65.87/66.09 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 65.87/66.09 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 65.87/66.09 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 65.87/66.09 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 65.87/66.09 (assume @p94 @t72) % 65.87/66.09 (assume @p95 @t75) % 65.87/66.09 (assume @p96 @t78) % 65.87/66.09 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 65.87/66.09 (assume @p98 @t82) % 65.87/66.09 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 65.87/66.09 (assume @p100 (forall @t41 (or @t46 @t83 @t80 @t79))) % 65.87/66.09 (assume @p101 (forall @t41 (or @t86 @t83 @t46 @t84))) % 65.87/66.09 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 65.87/66.09 (assume @p103 (forall @t41 (or @t88 @t83 @t46 @t87))) % 65.87/66.09 (assume @p104 (forall @t41 (or @t86 @t46 @t83 @t89))) % 65.87/66.09 (assume @p105 (forall @t41 (or @t91 @t83 @t46 @t90))) % 65.87/66.09 (assume @p106 (forall @t41 (or @t93 @t46 @t83 @t92))) % 65.87/66.09 (assume @p107 @t96) % 65.87/66.09 (assume @p108 (forall @t41 (or @t88 (not @t89) @t46 @t83))) % 65.87/66.09 (assume @p109 (forall @t41 (or @t98 @t86 @t83 @t46))) % 65.87/66.09 (assume @p110 (forall @t41 (or @t58 @t47 @t83 (tptp.strictorderedP @t99)))) % 65.87/66.09 (assume @p111 (forall @t41 (or @t58 @t47 @t83 (tptp.totalorderedP @t99)))) % 65.87/66.09 (assume @p112 (forall @t41 (or @t86 (not @t87) @t46 @t83))) % 65.87/66.09 (assume @p113 (forall @t41 (or @t98 @t100 @t62 @t47))) % 65.87/66.09 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 65.87/66.09 (assume @p115 (forall @t41 (or @t98 @t100 @t83 @t46))) % 65.87/66.09 (assume @p116 (forall @t41 (or @t103 @t62 @t47 @t54))) % 65.87/66.09 (assume @p117 (forall @t41 (or @t103 @t62 @t47 @t104))) % 65.87/66.09 (assume @p118 @t107) % 65.87/66.09 (assume @p119 (forall @t41 (or @t93 @t83 @t46 @t85 @t97))) % 65.87/66.09 (assume @p120 (forall @t41 (or @t47 @t62 @t104 (= (tptp.hd @t61) @t108)))) % 65.87/66.09 (assume @p121 (forall @t41 (or @t111 @t62 @t46 @t109 @t104))) % 65.87/66.09 (assume @p122 (forall @t41 (or @t114 @t62 @t46 @t112 @t104))) % 65.87/66.09 (assume @p123 (forall @t41 (or @t91 (not @t92) @t46 @t83 @t79))) % 65.87/66.09 (assume @p124 (forall @t41 (or @t115 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t79))) % 65.87/66.09 (assume @p125 (forall @t41 (or @t116 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t79))) % 65.87/66.09 (assume @p126 (forall @t41 (or @t117 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t79))) % 65.87/66.09 (assume @p127 (forall @t41 (or @t93 @t118 @t46 @t83 @t79))) % 65.87/66.09 (assume @p128 (forall @t41 (or @t116 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 65.87/66.09 (assume @p129 (forall @t41 (or @t117 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 65.87/66.09 (assume @p130 (forall @t41 (or @t47 @t62 @t104 (= (tptp.tl @t61) (tptp.app @t119 @t2))))) % 65.87/66.09 (assume @p131 (forall @t41 (or @t111 @t62 @t46 @t120 @t104))) % 65.87/66.09 (assume @p132 (forall @t41 (or @t114 @t62 @t46 @t121 @t104))) % 65.87/66.09 (assume @p133 (forall @t125 (or @t116 @t124 @t62 @t47 (tptp.rearsegP @t123 @t40)))) % 65.87/66.09 (assume @p134 (forall @t125 (or @t117 @t124 @t62 @t47 (tptp.frontsegP @t126 @t40)))) % 65.87/66.09 (assume @p135 (forall @t125 (or @t98 @t124 @t83 @t46 (tptp.memberP @t127 @t2)))) % 65.87/66.09 (assume @p136 (forall @t125 (or @t130 @t47 @t129 @t83 (tptp.memberP @t128 @t40)))) % 65.87/66.09 (assume @p137 (forall @t125 (or @t130 @t124 @t47 @t83 (tptp.memberP @t126 @t40)))) % 65.87/66.09 (assume @p138 (forall @t125 (or @t130 @t47 @t124 @t83 (tptp.memberP @t123 @t40)))) % 65.87/66.09 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 65.87/66.09 (assume @p140 (forall @t125 (or @t131 @t47 @t62 @t124 (tptp.rearsegP @t122 @t40)))) % 65.87/66.09 (assume @p141 (forall @t125 (or @t131 @t62 @t47 @t124 (tptp.frontsegP @t122 @t2)))) % 65.87/66.09 (assume @p142 (forall @t41 (or @t58 (not @t104) @t62 @t47 @t102))) % 65.87/66.09 (assume @p143 (forall @t125 (or @t88 (not (tptp.gt @t40 @t122)) @t129 @t83 @t46 (tptp.gt @t2 @t122)))) % 65.87/66.09 (assume @p144 (forall @t125 (or @t93 @t133 @t129 @t83 @t46 @t132))) % 65.87/66.09 (assume @p145 (forall @t125 (or @t91 (not (tptp.geq @t40 @t122)) @t129 @t83 @t46 (tptp.geq @t2 @t122)))) % 65.87/66.09 (assume @p146 (forall @t125 (or @t47 @t62 @t124 (= (tptp.app @t134 @t2) (tptp.app @t122 @t61))))) % 65.87/66.09 (assume @p147 (forall @t125 (or (not (= @t101 @t126)) @t62 @t47 @t124 @t135))) % 65.87/66.09 (assume @p148 (forall @t125 (or (not (= @t101 @t134)) @t47 @t62 @t124 @t136))) % 65.87/66.09 (assume @p149 (forall @t125 (or @t115 (not (tptp.segmentP @t40 @t122)) @t124 @t62 @t47 (tptp.segmentP @t2 @t122)))) % 65.87/66.09 (assume @p150 (forall @t125 (or @t116 (not (tptp.rearsegP @t40 @t122)) @t124 @t62 @t47 (tptp.rearsegP @t2 @t122)))) % 65.87/66.09 (assume @p151 (forall @t125 (or @t117 (not (tptp.frontsegP @t40 @t122)) @t124 @t62 @t47 (tptp.frontsegP @t2 @t122)))) % 65.87/66.09 (assume @p152 (forall @t125 (or @t86 @t133 @t129 @t83 @t46 @t132))) % 65.87/66.09 (assume @p153 (forall @t125 (or @t93 (not (tptp.leq @t40 @t122)) @t129 @t83 @t46 (tptp.leq @t2 @t122)))) % 65.87/66.09 (assume @p154 (forall @t125 (or @t46 @t62 @t124 (= (tptp.cons @t2 (tptp.app @t40 @t122)) (tptp.app @t63 @t122))))) % 65.87/66.09 (assume @p155 (forall @t125 (or (not (tptp.memberP @t101 @t122)) @t62 @t47 @t129 @t137 (tptp.memberP @t2 @t122)))) % 65.87/66.09 (assume @p156 (forall @t41 (or (not @t121) (not @t112) @t62 @t46 @t113 @t104))) % 65.87/66.09 (assume @p157 (forall @t41 (or (not @t120) (not @t109) @t62 @t46 @t110 @t104))) % 65.87/66.09 (assume @p158 (forall @t125 (or (not (tptp.memberP @t63 @t122)) @t62 @t46 @t129 @t137 (= @t122 @t2)))) % 65.87/66.09 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 65.87/66.09 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 65.87/66.09 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 65.87/66.09 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 65.87/66.09 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 65.87/66.09 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 65.87/66.09 (assume @p165 (forall @t41 (or @t115 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 65.87/66.09 (assume @p166 (forall @t41 (or @t130 @t83 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 65.87/66.09 (assume @p167 (forall @t142 (or @t141 @t129 @t46 @t139 @t62 @t136))) % 65.87/66.09 (assume @p168 (forall @t142 (or @t141 @t129 @t46 @t139 @t62 (= @t138 @t40)))) % 65.87/66.09 (assume @p169 (forall @t142 (or @t115 @t124 @t139 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t138 @t2) @t122) @t40)))) % 65.87/66.09 (assume @p170 (forall @t142 (or (not (= (tptp.app @t101 @t122) @t138)) @t124 @t47 @t62 @t139 (tptp.segmentP @t138 @t40)))) % 65.87/66.09 (assume @p171 (forall @t142 (or @t143 @t139 @t62 @t129 @t46 (tptp.frontsegP @t40 @t138)))) % 65.87/66.09 (assume @p172 (forall @t142 (or (not (= @t144 @t138)) @t124 @t47 @t83 @t139 (tptp.memberP @t138 @t40)))) % 65.87/66.09 (assume @p173 (forall @t142 (or @t143 @t139 @t62 @t129 @t46 @t136))) % 65.87/66.09 (assume @p174 (forall @t41 (or (not (= @t55 @t119)) (not (= @t56 @t108)) @t47 @t62 @t104 @t97 @t54))) % 65.87/66.09 (assume @p175 (forall @t142 (or @t117 (not (= @t122 @t138)) @t62 @t47 @t145 @t129 (tptp.frontsegP @t128 (tptp.cons @t138 @t40))))) % 65.87/66.09 (assume @p176 (forall @t148 (or (not (= (tptp.app @t144 (tptp.cons @t40 @t138)) @t146)) @t139 @t124 @t47 @t83 (not (tptp.duplicatefreeP @t146)) @t147))) % 65.87/66.09 (assume @p177 (forall @t148 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t140)) @t146)) @t139 @t47 @t129 @t83 (not (tptp.equalelemsP @t146)) @t147 @t135))) % 65.87/66.09 (assume @p178 (forall @t153 (or @t152 @t147 @t124 @t47 @t145 @t83 (not (tptp.strictorderedP @t150)) @t151 @t149))) % 65.87/66.09 (assume @p179 (forall @t153 (or @t152 @t147 @t124 @t47 @t145 @t83 (not (tptp.totalorderedP @t150)) @t151 @t154))) % 65.87/66.09 (assume @p180 (forall @t153 (or @t152 @t147 @t124 @t47 @t145 @t83 (not (tptp.strictorderP @t150)) @t151 @t149 (tptp.lt @t138 @t40)))) % 65.87/66.09 (assume @p181 (forall @t153 (or @t152 @t147 @t124 @t47 @t145 @t83 (not (tptp.totalorderP @t150)) @t151 @t154 (tptp.leq @t138 @t40)))) % 65.87/66.09 (assume @p182 (forall @t153 (or @t93 @t118 (not (= (tptp.app (tptp.app @t122 (tptp.cons @t2 @t138)) (tptp.cons @t40 @t146)) @t150)) @t147 @t139 @t124 @t83 @t46 (not (tptp.cyclefreeP @t150)) @t151))) % 65.87/66.09 (assume @p183 (tptp.ssList tptp.sk1)) % 65.87/66.09 (assume @p184 (tptp.ssList tptp.sk2)) % 65.87/66.09 (assume @p185 @t155) % 65.87/66.09 (assume @p186 @t156) % 65.87/66.09 (assume @p187 (= tptp.sk2 tptp.sk4)) % 65.87/66.09 (assume @p188 (= tptp.sk1 tptp.sk3)) % 65.87/66.09 (assume @p189 @t157) % 65.87/66.09 (assume @p190 (tptp.totalorderedP tptp.sk3)) % 65.87/66.09 (assume @p191 (forall (@list @t158) (or (not (tptp.ssList @t158)) (not (tptp.neq tptp.sk3 @t158)) (not (tptp.segmentP tptp.sk4 @t158)) (not (tptp.segmentP @t158 tptp.sk3)) (not (tptp.totalorderedP @t158))))) % 65.87/66.09 (assume @p192 (or @t160 @t159)) % 65.87/66.09 (assume @p193 @t165) % 65.87/66.09 (assume @p194 @t168) % 65.87/66.09 (assume @p195 @t169) % 65.87/66.09 (step @p196 :rule refl :args (@t54)) % 65.87/66.09 (step @p197 :rule eq-symm :args (@t94 @t2)) % 65.87/66.09 (step @p198 :rule refl :args (@t47)) % 65.87/66.09 (step @p199 :rule nary_cong :premises (@p198 @p197 @p196) :args (@t95)) % 65.87/66.09 (step @p200 :rule cong :premises (@p199) :args (@t96)) % 65.87/66.09 (step @p201 :rule eq_resolve :premises (@p107 @p200)) % 65.87/66.09 (step @p202 :rule instantiate :premises (@p201) :args (@t170)) % 65.87/66.09 (assume-push @p541 @t157) % 65.87/66.09 (assume-push @p542 @t171) % 65.87/66.09 (assume-push @p543 @t157) % 65.87/66.09 (assume-push @p544 @t171) % 65.87/66.09 (step @p207 :rule true_intro :premises (@p189)) % 65.87/66.09 (step @p208 :rule refl :args (tptp.sk3)) % 65.87/66.09 (step @p209 :rule cong :premises (@p542 @p208) :args (@t172)) % 65.87/66.09 (step @p210 :rule trans :premises (@p209 @p207)) % 65.87/66.09 (step @p211 :rule true_elim :premises (@p210)) % 65.87/66.09 (step-pop @p545 :rule scope :premises (@p211)) % 65.87/66.09 (step-pop @p546 :rule scope :premises (@p545)) % 65.87/66.09 (step @p212 :rule process_scope :premises (@p546) :args (@t172)) % 65.87/66.09 (step @p215 :rule and_intro :premises (@p189 @p542)) % 65.87/66.09 (step @p216 :rule modus_ponens :premises (@p215 @p212)) % 65.87/66.09 (step-pop @p547 :rule scope :premises (@p216)) % 65.87/66.09 (step-pop @p548 :rule scope :premises (@p547)) % 65.87/66.09 (step @p217 :rule process_scope :premises (@p548) :args (@t172)) % 65.87/66.09 (step @p220 :rule implies_elim :premises (@p217)) % 65.87/66.09 (step @p221 :rule cnf_and_neg :args (@t173)) % 65.87/66.09 (step @p222 :rule resolution :premises (@p221 @p220) :args (true @t173)) % 65.87/66.09 (step @p223 :rule instantiate :premises (@p78) :args ((@list tptp.sk3))) % 65.87/66.09 (step @p224 :rule cnf_or_pos :args (@t177)) % 65.87/66.09 (step @p225 :rule reordering :premises (@p224) :args ((or @t174 @t175 @t176 (not @t177)))) % 65.87/66.09 (step @p226 :rule refl :args (tptp.nil)) % 65.87/66.09 (step @p227 :rule cong :premises (@p187 @p226) :args (@t159)) % 65.87/66.09 (step @p228 :rule cong :premises (@p226 @p188) :args (@t166)) % 65.87/66.09 (step @p229 :rule cong :premises (@p228) :args (@t167)) % 65.87/66.09 (step @p230 :rule nary_cong :premises (@p229 @p227) :args (@t168)) % 65.87/66.09 (step @p231 :rule eq_resolve :premises (@p194 @p230)) % 65.87/66.09 (step @p232 :rule reordering :premises (@p231) :args ((or @t179 @t178))) % 65.87/66.09 (step @p233 :rule cong :premises (@p187 @p188) :args (@t161)) % 65.87/66.09 (step @p234 :rule cong :premises (@p233) :args (@t162)) % 65.87/66.09 (step @p235 :rule cong :premises (@p188 @p226) :args (@t163)) % 65.87/66.09 (step @p236 :rule cong :premises (@p235) :args (@t164)) % 65.87/66.09 (step @p237 :rule nary_cong :premises (@p229 @p236 @p234) :args (@t169)) % 65.87/66.09 (step @p238 :rule eq_resolve :premises (@p195 @p237)) % 65.87/66.09 (step @p239 :rule reordering :premises (@p238) :args ((or @t182 @t181 @t178))) % 65.87/66.09 (assume-push @p549 @t179) % 65.87/66.09 (assume-push @p550 @t171) % 65.87/66.09 (assume-push @p551 @t174) % 65.87/66.09 (assume-push @p552 @t179) % 65.87/66.09 (assume-push @p553 @t171) % 65.87/66.09 (assume-push @p554 @t174) % 65.87/66.09 (step @p246 :rule true_intro :premises (@p549)) % 65.87/66.09 (step @p247 :rule symm :premises (@p551)) % 65.87/66.09 (step @p248 :rule trans :premises (@p247 @p550)) % 65.87/66.09 (step @p249 :rule cong :premises (@p248 @p226) :args (@t180)) % 65.87/66.09 (step @p250 :rule trans :premises (@p249 @p246)) % 65.87/66.09 (step @p251 :rule true_elim :premises (@p250)) % 65.87/66.09 (step-pop @p555 :rule scope :premises (@p251)) % 65.87/66.09 (step-pop @p556 :rule scope :premises (@p555)) % 65.87/66.09 (step-pop @p557 :rule scope :premises (@p556)) % 65.87/66.09 (step @p252 :rule process_scope :premises (@p557) :args (@t180)) % 65.87/66.09 (step @p256 :rule and_intro :premises (@p549 @p550 @p551)) % 65.87/66.09 (step @p257 :rule modus_ponens :premises (@p256 @p252)) % 65.87/66.09 (step-pop @p558 :rule scope :premises (@p257)) % 65.87/66.09 (step-pop @p559 :rule scope :premises (@p558)) % 65.87/66.09 (step-pop @p560 :rule scope :premises (@p559)) % 65.87/66.09 (step @p258 :rule process_scope :premises (@p560) :args (@t180)) % 65.87/66.09 (step @p262 :rule implies_elim :premises (@p258)) % 65.87/66.09 (step @p263 :rule cnf_and_neg :args (@t183)) % 65.87/66.09 (step @p264 :rule resolution :premises (@p263 @p262) :args (true @t183)) % 65.87/66.09 (step @p265 :rule reordering :premises (@p264) :args ((or @t180 @t178 @t184 (not @t179)))) % 65.87/66.09 (step @p266 :rule chain_m_resolution :premises (@p265 @p239 @p189 @p232 @p225 @p223 @p185 @p222 @p189) :args (@t184 (@list true false false false false false false false) (@list @t180 @t157 @t179 @t174 @t177 @t155 @t172 @t157))) % 65.87/66.09 (step @p267 :rule cnf_or_pos :args (@t190)) % 65.87/66.09 (step @p268 :rule reordering :premises (@p267) :args ((or @t171 @t189 @t188 (not @t190)))) % 65.87/66.09 (step @p269 :rule chain_m_resolution :premises (@p268 @p266 @p186 @p202) :args (@t188 @t191 (@list @t171 @t156 @t190))) % 65.87/66.09 (step @p270 :rule eq-symm :args (@t70 @t40)) % 65.87/66.09 (step @p271 :rule refl :args (@t62)) % 65.87/66.09 (step @p272 :rule refl :args (@t46)) % 65.87/66.09 (step @p273 :rule nary_cong :premises (@p272 @p271 @p270) :args (@t71)) % 65.87/66.09 (step @p274 :rule cong :premises (@p273) :args (@t72)) % 65.87/66.09 (step @p275 :rule eq_resolve :premises (@p94 @p274)) % 65.87/66.09 (step @p276 :rule instantiate :premises (@p275) :args (@t192)) % 65.87/66.09 (step @p277 :rule instantiate :premises (@p13) :args (@t170)) % 65.87/66.09 (step @p278 :rule instantiate :premises (@p12) :args (@t170)) % 65.87/66.09 (step @p279 :rule cnf_or_pos :args (@t199)) % 65.87/66.09 (step @p280 :rule reordering :premises (@p279) :args ((or @t198 @t196 @t194 (not @t199)))) % 65.87/66.09 (step @p281 :rule chain_m_resolution :premises (@p280 @p278 @p277 @p276) :args (@t194 @t200 (@list @t197 @t195 @t199))) % 65.87/66.09 (step @p282 :rule eq-symm :args (@t73 @t2)) % 65.87/66.09 (step @p283 :rule nary_cong :premises (@p272 @p271 @p282) :args (@t74)) % 65.87/66.09 (step @p284 :rule cong :premises (@p283) :args (@t75)) % 65.87/66.09 (step @p285 :rule eq_resolve :premises (@p95 @p284)) % 65.87/66.09 (step @p286 :rule instantiate :premises (@p285) :args (@t192)) % 65.87/66.09 (step @p287 :rule cnf_or_pos :args (@t203)) % 65.87/66.09 (step @p288 :rule reordering :premises (@p287) :args ((or @t198 @t196 @t202 (not @t203)))) % 65.87/66.09 (step @p289 :rule chain_m_resolution :premises (@p288 @p278 @p277 @p286) :args (@t202 @t200 (@list @t197 @t195 @t203))) % 65.87/66.09 (step @p290 :rule eq-symm :args (@t105 @t63)) % 65.87/66.09 (step @p291 :rule nary_cong :premises (@p272 @p271 @p290) :args (@t106)) % 65.87/66.09 (step @p292 :rule cong :premises (@p291) :args (@t107)) % 65.87/66.09 (step @p293 :rule eq_resolve :premises (@p118 @p292)) % 65.87/66.09 (step @p294 :rule instantiate :premises (@p293) :args (@t192)) % 65.87/66.09 (step @p295 :rule cnf_or_pos :args (@t207)) % 65.87/66.09 (step @p296 :rule reordering :premises (@p295) :args ((or @t198 @t196 @t206 (not @t207)))) % 65.87/66.09 (step @p297 :rule chain_m_resolution :premises (@p296 @p278 @p277 @p294) :args (@t206 @t200 (@list @t197 @t195 @t207))) % 65.87/66.09 (step @p298 :rule eq-symm :args (@t51 @t2)) % 65.87/66.09 (step @p299 :rule nary_cong :premises (@p198 @p298) :args (@t52)) % 65.87/66.09 (step @p300 :rule cong :premises (@p299) :args (@t53)) % 65.87/66.09 (step @p301 :rule eq_resolve :premises (@p74 @p300)) % 65.87/66.09 (step @p302 :rule instantiate :premises (@p301) :args (@t210)) % 65.87/66.09 (step @p303 :rule instantiate :premises (@p84) :args ((@list @t208 tptp.nil))) % 65.87/66.09 (step @p304 :rule instantiate :premises (@p76) :args (@t170)) % 65.87/66.09 (step @p305 :rule cnf_or_pos :args (@t212)) % 65.87/66.09 (step @p306 :rule reordering :premises (@p305) :args ((or @t171 @t189 @t211 (not @t212)))) % 65.87/66.09 (step @p307 :rule chain_m_resolution :premises (@p306 @p266 @p186 @p304) :args (@t211 @t191 (@list @t171 @t156 @t212))) % 65.87/66.09 (step @p308 :rule cnf_or_pos :args (@t216)) % 65.87/66.09 (step @p309 :rule reordering :premises (@p308) :args ((or @t214 @t215 @t213 (not @t216)))) % 65.87/66.09 (step @p310 :rule chain_m_resolution :premises (@p309 @p8 @p307 @p303) :args (@t213 @t200 (@list @t1 @t211 @t216))) % 65.87/66.09 (step @p311 :rule cnf_or_pos :args (@t220)) % 65.87/66.09 (step @p312 :rule reordering :premises (@p311) :args ((or @t219 @t218 (not @t220)))) % 65.87/66.09 (step @p313 :rule chain_m_resolution :premises (@p312 @p310 @p302) :args (@t218 @t221 (@list @t213 @t220))) % 65.87/66.09 (step @p314 :rule instantiate :premises (@p191) :args (@t210)) % 65.87/66.09 (step @p315 :rule instantiate :premises (@p56) :args (@t210)) % 65.87/66.09 (step @p316 :rule cnf_or_pos :args (@t223)) % 65.87/66.09 (step @p317 :rule reordering :premises (@p316) :args ((or @t219 @t222 (not @t223)))) % 65.87/66.09 (step @p318 :rule chain_m_resolution :premises (@p317 @p310 @p315) :args (@t222 @t221 (@list @t213 @t223))) % 65.87/66.09 (step @p319 :rule eq-symm :args (@t40 @t2)) % 65.87/66.09 (step @p320 :rule refl :args (@t80)) % 65.87/66.09 (step @p321 :rule nary_cong :premises (@p198 @p271 @p320 @p319) :args (@t81)) % 65.87/66.09 (step @p322 :rule cong :premises (@p321) :args (@t82)) % 65.87/66.09 (step @p323 :rule eq_resolve :premises (@p98 @p322)) % 65.87/66.09 (step @p324 :rule instantiate :premises (@p323) :args ((@list tptp.nil tptp.sk3))) % 65.87/66.09 (step @p325 :rule cong :premises (@p226 @p187) :args (@t160)) % 65.87/66.09 (step @p326 :rule nary_cong :premises (@p325 @p236 @p234) :args (@t165)) % 65.87/66.09 (step @p327 :rule eq_resolve :premises (@p193 @p326)) % 65.87/66.09 (step @p328 :rule reordering :premises (@p327) :args ((or @t171 @t182 @t181))) % 65.87/66.09 (step @p329 :rule chain_m_resolution :premises (@p328 @p266 @p189) :args (@t181 (@list true false) (@list @t171 @t157))) % 65.87/66.09 (step @p330 :rule cnf_or_pos :args (@t224)) % 65.87/66.09 (step @p331 :rule reordering :premises (@p330) :args ((or @t214 @t180 @t174 @t175 (not @t224)))) % 65.87/66.09 (step @p332 :rule chain_m_resolution :premises (@p331 @p8 @p329 @p185 @p324) :args (@t174 (@list false true false false) (@list @t1 @t180 @t155 @t224))) % 65.87/66.09 (assume-push @p561 @t174) % 65.87/66.09 (assume-push @p562 @t222) % 65.87/66.09 (assume-push @p563 @t222) % 65.87/66.09 (assume-push @p564 @t174) % 65.87/66.09 (step @p337 :rule true_intro :premises (@p562)) % 65.87/66.09 (step @p338 :rule symm :premises (@p561)) % 65.87/66.09 (step @p339 :rule refl :args (@t209)) % 65.87/66.09 (step @p340 :rule cong :premises (@p339 @p338) :args (@t225)) % 65.87/66.09 (step @p341 :rule trans :premises (@p340 @p337)) % 65.87/66.09 (step @p342 :rule true_elim :premises (@p341)) % 65.87/66.09 (step-pop @p565 :rule scope :premises (@p342)) % 65.87/66.09 (step-pop @p566 :rule scope :premises (@p565)) % 65.87/66.09 (step @p343 :rule process_scope :premises (@p566) :args (@t225)) % 65.87/66.09 (step @p346 :rule and_intro :premises (@p562 @p561)) % 65.87/66.09 (step @p347 :rule modus_ponens :premises (@p346 @p343)) % 65.87/66.09 (step-pop @p567 :rule scope :premises (@p347)) % 65.87/66.09 (step-pop @p568 :rule scope :premises (@p567)) % 65.87/66.09 (step @p348 :rule process_scope :premises (@p568) :args (@t225)) % 65.87/66.09 (step @p351 :rule implies_elim :premises (@p348)) % 65.87/66.09 (step @p352 :rule cnf_and_neg :args (@t226)) % 65.87/66.09 (step @p353 :rule resolution :premises (@p352 @p351) :args (true @t226)) % 65.87/66.09 (step @p354 :rule reordering :premises (@p353) :args ((or @t178 @t225 (not @t222)))) % 65.87/66.09 (step @p355 :rule chain_m_resolution :premises (@p354 @p332 @p318) :args (@t225 @t221 (@list @t174 @t222))) % 65.87/66.09 (step @p356 :rule eq-symm :args (@t209 tptp.nil)) % 65.87/66.09 (step @p357 :rule refl :args (@t227)) % 65.87/66.09 (step @p358 :rule refl :args (@t214)) % 65.87/66.09 (step @p359 :rule refl :args (@t219)) % 65.87/66.09 (step @p360 :rule nary_cong :premises (@p359 @p358 @p357 @p356) :args (@t228)) % 65.87/66.09 (step @p361 :rule refl :args (@t229)) % 65.87/66.09 (step @p362 :rule cong :premises (@p361 @p360) :args ((=> @t229 @t228))) % 65.87/66.09 (assume-push @p569 @t229) % 65.87/66.09 (step @p364 :rule instantiate :premises (@p323) :args ((@list @t209 tptp.nil))) % 65.87/66.09 (step-pop @p570 :rule scope :premises (@p364)) % 65.87/66.09 (step @p365 :rule process_scope :premises (@p570) :args (@t228)) % 65.87/66.09 (step @p367 :rule eq_resolve :premises (@p365 @p362)) % 65.87/66.09 (step @p368 :rule implies_elim :premises (@p367)) % 65.87/66.09 (step @p369 :rule chain_m_resolution :premises (@p368 @p323) :args (@t231 (@list false) (@list @t229))) % 65.87/66.09 (step @p370 :rule eq-symm :args (@t63 tptp.nil)) % 65.87/66.09 (step @p371 :rule cong :premises (@p370) :args (@t76)) % 65.87/66.09 (step @p372 :rule nary_cong :premises (@p371 @p272 @p271) :args (@t77)) % 65.87/66.09 (step @p373 :rule cong :premises (@p372) :args (@t78)) % 65.87/66.09 (step @p374 :rule eq_resolve :premises (@p96 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@p390 :rule false_intro :premises (@p378)) % 65.87/66.09 (step @p391 :rule symm :premises (@p289)) % 65.87/66.09 (step @p392 :rule cong :premises (@p571) :args (@t208)) % 65.87/66.09 (step @p393 :rule trans :premises (@p392 @p391)) % 65.87/66.09 (step @p394 :rule cong :premises (@p393 @p226) :args (@t209)) % 65.87/66.09 (step @p395 :rule cong :premises (@p226 @p394) :args (@t230)) % 65.87/66.09 (step @p396 :rule trans :premises (@p395 @p390)) % 65.87/66.09 (step @p397 :rule false_elim :premises (@p396)) % 65.87/66.09 (step-pop @p577 :rule scope :premises (@p397)) % 65.87/66.09 (step-pop @p578 :rule scope :premises (@p577)) % 65.87/66.09 (step-pop @p579 :rule scope :premises (@p578)) % 65.87/66.09 (step @p398 :rule process_scope :premises (@p579) :args (@t235)) % 65.87/66.09 (step @p402 :rule and_intro :premises (@p378 @p289 @p571)) % 65.87/66.09 (step @p403 :rule modus_ponens :premises (@p402 @p398)) % 65.87/66.09 (step-pop @p580 :rule scope :premises (@p403)) % 65.87/66.09 (step-pop @p581 :rule scope :premises (@p580)) % 65.87/66.09 (step-pop @p582 :rule scope :premises (@p581)) % 65.87/66.09 (step @p404 :rule process_scope :premises (@p582) :args (@t235)) % 65.87/66.09 (step @p408 :rule implies_elim :premises (@p404)) % 65.87/66.09 (step @p409 :rule cnf_and_neg :args (@t238)) % 65.87/66.09 (step @p410 :rule resolution :premises (@p409 @p408) :args (true @t238)) % 65.87/66.09 (step @p411 :rule eq_resolve :premises (@p410 @p383)) % 65.87/66.09 (step @p412 :rule chain_m_resolution :premises (@p411 @p269 @p289 @p378) :args (@t235 (@list false false true) (@list @t188 @t202 @t232))) % 65.87/66.09 (step @p413 :rule cnf_or_pos :args (@t231)) % 65.87/66.09 (step @p414 :rule reordering :premises (@p413) :args ((or @t214 @t219 @t230 @t227 (not @t231)))) % 65.87/66.09 (step @p415 :rule chain_m_resolution :premises (@p414 @p8 @p310 @p412 @p369) :args (@t227 (@list false false true false) (@list @t1 @t213 @t230 @t231))) % 65.87/66.09 (assume-push @p583 @t174) % 65.87/66.09 (assume-push @p584 @t227) % 65.87/66.09 (assume-push @p585 @t227) % 65.87/66.09 (assume-push @p586 @t174) % 65.87/66.09 (step @p420 :rule true_intro :premises (@p584)) % 65.87/66.09 (step @p339 :rule refl :args (@t209)) % 65.87/66.09 (step @p421 :rule symm :premises (@p583)) % 65.87/66.09 (step @p422 :rule cong :premises (@p421 @p339) :args (@t239)) % 65.87/66.09 (step @p423 :rule trans :premises (@p422 @p420)) % 65.87/66.09 (step @p424 :rule true_elim :premises (@p423)) % 65.87/66.09 (step-pop @p587 :rule scope :premises (@p424)) % 65.87/66.09 (step-pop @p588 :rule scope :premises (@p587)) % 65.87/66.09 (step @p425 :rule process_scope :premises (@p588) :args (@t239)) % 65.87/66.09 (step @p428 :rule and_intro :premises (@p584 @p583)) % 65.87/66.09 (step @p429 :rule modus_ponens :premises (@p428 @p425)) % 65.87/66.09 (step-pop @p589 :rule scope :premises (@p429)) % 65.87/66.09 (step-pop @p590 :rule scope :premises (@p589)) % 65.87/66.09 (step @p430 :rule process_scope :premises (@p590) :args (@t239)) % 65.87/66.09 (step @p433 :rule implies_elim :premises (@p430)) % 65.87/66.09 (step @p434 :rule cnf_and_neg :args (@t240)) % 65.87/66.09 (step @p435 :rule resolution :premises (@p434 @p433) :args (true @t240)) % 65.87/66.09 (step @p436 :rule reordering :premises (@p435) :args ((or @t178 @t239 (not @t227)))) % 65.87/66.09 (step @p437 :rule chain_m_resolution :premises (@p436 @p332 @p415) :args (@t239 @t221 (@list @t174 @t227))) % 65.87/66.09 (step @p438 :rule instantiate :premises (@p67) :args ((@list @t208))) % 65.87/66.09 (step @p439 :rule cnf_or_pos :args (@t242)) % 65.87/66.09 (step @p440 :rule reordering :premises (@p439) :args ((or @t215 @t241 (not @t242)))) % 65.87/66.09 (step @p441 :rule chain_m_resolution :premises (@p440 @p307 @p438) :args (@t241 @t221 (@list @t211 @t242))) % 65.87/66.09 (step @p442 :rule cnf_or_pos :args (@t248)) % 65.87/66.09 (step @p443 :rule reordering :premises (@p442) :args ((or @t219 @t243 @t247 @t246 @t244 (not @t248)))) % 65.87/66.09 (step @p444 :rule chain_m_resolution :premises (@p443 @p310 @p441 @p437 @p355 @p314) :args (@t246 @t249 (@list @t213 @t241 @t239 @t225 @t248))) % 65.87/66.09 (step @p445 :rule instantiate :premises (@p169) :args ((@list @t209 @t209 @t250 tptp.nil))) % 65.87/66.09 (step @p446 :rule instantiate :premises (@p57) :args (@t210)) % 65.87/66.09 (step @p447 :rule cnf_or_pos :args (@t252)) % 65.87/66.09 (step @p448 :rule reordering :premises (@p447) :args ((or @t219 @t251 (not @t252)))) % 65.87/66.09 (step @p449 :rule chain_m_resolution :premises (@p448 @p310 @p446) :args (@t251 @t221 (@list @t213 @t252))) % 65.87/66.09 (assume-push @p591 @t188) % 65.87/66.09 (assume-push @p592 @t195) % 65.87/66.09 (assume-push @p593 @t194) % 65.87/66.09 (assume-push @p594 @t195) % 65.87/66.09 (assume-push @p595 @t194) % 65.87/66.09 (assume-push @p596 @t188) % 65.87/66.09 (step @p456 :rule true_intro :premises (@p277)) % 65.87/66.09 (step @p457 :rule symm :premises (@p281)) % 65.87/66.09 (step @p458 :rule cong :premises (@p591) :args (@t250)) % 65.87/66.09 (step @p459 :rule trans :premises (@p458 @p457)) % 65.87/66.09 (step @p460 :rule cong :premises (@p459) :args (@t253)) % 65.87/66.09 (step @p461 :rule trans :premises (@p460 @p456)) % 65.87/66.09 (step @p462 :rule true_elim :premises (@p461)) % 65.87/66.09 (step-pop @p597 :rule scope :premises (@p462)) % 65.87/66.09 (step-pop @p598 :rule scope :premises (@p597)) % 65.87/66.09 (step-pop @p599 :rule scope :premises (@p598)) % 65.87/66.09 (step @p463 :rule process_scope :premises (@p599) :args (@t253)) % 65.87/66.09 (step @p467 :rule and_intro :premises (@p277 @p281 @p591)) % 65.87/66.09 (step @p468 :rule modus_ponens :premises (@p467 @p463)) % 65.87/66.09 (step-pop @p600 :rule scope :premises (@p468)) % 65.87/66.09 (step-pop @p601 :rule scope :premises (@p600)) % 65.87/66.09 (step-pop @p602 :rule scope :premises (@p601)) % 65.87/66.09 (step @p469 :rule process_scope :premises (@p602) :args (@t253)) % 65.87/66.09 (step @p473 :rule implies_elim :premises (@p469)) % 65.87/66.09 (step @p474 :rule cnf_and_neg :args (@t254)) % 65.87/66.09 (step @p475 :rule resolution :premises (@p474 @p473) :args (true @t254)) % 65.87/66.09 (step @p476 :rule reordering :premises (@p475) :args ((or @t237 @t196 @t253 @t255))) % 65.87/66.09 (step @p477 :rule chain_m_resolution :premises (@p476 @p269 @p277 @p281) :args (@t253 @t200 (@list @t188 @t195 @t194))) % 65.87/66.09 (step @p478 :rule cnf_or_pos :args (@t259)) % 65.87/66.09 (step @p479 :rule factoring :premises (@p478)) % 65.87/66.09 (step @p480 :rule reordering :premises (@p479) :args ((or @t214 @t257 @t219 @t258 @t256 (not @t259)))) % 65.87/66.09 (step @p481 :rule chain_m_resolution :premises (@p480 @p8 @p477 @p310 @p449 @p445) :args (@t256 @t249 (@list @t1 @t253 @t213 @t251 @t259))) % 65.87/66.09 (step @p482 :rule refl :args (@t260)) % 65.87/66.09 (step @p483 :rule bool-double-not-elim :args (@t245)) % 65.87/66.09 (step @p484 :rule refl :args (@t261)) % 65.87/66.09 (step @p485 :rule refl :args (@t262)) % 65.87/66.09 (step @p486 :rule refl :args (@t255)) % 65.87/66.09 (step @p487 :rule nary_cong :premises (@p382 @p486 @p381 @p485 @p484 @p483 @p482) :args ((or @t237 @t255 @t236 @t262 @t261 (not @t246) @t260))) % 65.87/66.09 (assume-push @p603 @t256) % 65.87/66.09 (assume-push @p604 @t218) % 65.87/66.09 (assume-push @p605 @t188) % 65.87/66.09 (assume-push @p606 @t202) % 65.87/66.09 (assume-push @p607 @t194) % 65.87/66.09 (assume-push @p608 @t206) % 65.87/66.09 (assume-push @p609 @t246) % 65.87/66.09 (step @p495 :rule evaluate :args ((= false true))) % 65.87/66.09 (step @p496 :rule true_intro :premises (@p603)) % 65.87/66.09 (step @p339 :rule refl :args (@t209)) % 65.87/66.09 (step @p497 :rule symm :premises (@p605)) % 65.87/66.09 (step @p498 :rule cong :premises (@p497) :args (@t193)) % 65.87/66.09 (step @p499 :rule trans :premises (@p281 @p498)) % 65.87/66.09 (step @p500 :rule cong :premises (@p497) :args (@t201)) % 65.87/66.09 (step @p501 :rule trans :premises (@p289 @p500)) % 65.87/66.09 (step @p502 :rule cong :premises (@p501 @p226) :args (@t204)) % 65.87/66.09 (step @p503 :rule trans :premises (@p502 @p604)) % 65.87/66.09 (step @p504 :rule cong :premises (@p503 @p499) :args (@t205)) % 65.87/66.09 (step @p505 :rule trans :premises (@p605 @p297 @p504)) % 65.87/66.09 (step @p506 :rule cong :premises (@p505 @p339) :args (@t245)) % 65.87/66.09 (step @p507 :rule false_intro :premises (@p609)) % 65.87/66.09 (step @p508 :rule symm :premises (@p507)) % 65.87/66.09 (step @p509 :rule trans :premises (@p508 @p506 @p496)) % 65.87/66.09 (step @p510 false :rule eq_resolve :premises (@p509 @p495)) % 65.87/66.09 (step-pop @p610 :rule scope :premises (@p510)) % 65.87/66.09 (step-pop @p611 :rule scope :premises (@p610)) % 65.87/66.09 (step-pop @p612 :rule scope :premises (@p611)) % 65.87/66.09 (step-pop @p613 :rule scope :premises (@p612)) % 65.87/66.09 (step-pop @p614 :rule scope :premises (@p613)) % 65.87/66.09 (step-pop @p615 :rule scope :premises (@p614)) % 65.87/66.09 (step-pop @p616 :rule scope :premises (@p615)) % 65.87/66.09 (step @p511 :rule process_scope :premises (@p616) :args (false)) % 65.87/66.09 (assume-push @p617 @t188) % 65.87/66.09 (assume-push @p618 @t194) % 65.87/66.09 (assume-push @p619 @t202) % 65.87/66.09 (assume-push @p620 @t206) % 65.87/66.09 (assume-push @p621 @t218) % 65.87/66.09 (assume-push @p622 @t246) % 65.87/66.09 (assume-push @p623 @t256) % 65.87/66.09 (step @p526 :rule and_intro :premises (@p623 @p621 @p617 @p289 @p281 @p297 @p622)) % 65.87/66.09 (step-pop @p624 :rule scope :premises (@p526)) % 65.87/66.09 (step-pop @p625 :rule scope :premises (@p624)) % 65.87/66.09 (step-pop @p626 :rule scope :premises (@p625)) % 65.87/66.09 (step-pop @p627 :rule scope :premises (@p626)) % 65.87/66.09 (step-pop @p628 :rule scope :premises (@p627)) % 65.87/66.09 (step-pop @p629 :rule scope :premises (@p628)) % 65.87/66.09 (step-pop @p630 :rule scope :premises (@p629)) % 65.87/66.09 (step @p527 :rule process_scope :premises (@p630) :args (@t263)) % 65.87/66.09 (step @p535 :rule implies_elim :premises (@p527)) % 65.87/66.09 (step @p536 :rule resolution :premises (@p535 @p511) :args (true @t263)) % 65.87/66.09 (step @p537 :rule not_and :premises (@p536)) % 65.87/66.09 (step @p538 :rule eq_resolve :premises (@p537 @p487)) % 65.87/66.09 (step @p539 :rule reordering :premises (@p538) :args ((or @t237 @t255 @t236 @t262 @t245 @t261 @t260))) % 65.87/66.09 (step @p540 false :rule chain_m_resolution :premises (@p539 @p481 @p444 @p313 @p297 @p289 @p281 @p269) :args (false (@list false true false false false false false) (@list @t256 @t245 @t218 @t206 @t202 @t194 @t188))) % 65.87/66.09 ) % 65.87/66.09 % SZS output end Proof % 65.87/66.09 % cvc5 exiting %------------------------------------------------------------------------------