%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC055-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:57:52 AM UTC 2026 % Result : Unsatisfiable 33.88s 34.68s % Output : Proof 33.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC055-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n026.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:11:55 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.51/15.77 --- Run --no-e-matching --full-saturate-quant at 6... % 21.61/21.81 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.63/27.86 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.87/34.03 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.88/34.68 % SZS status Unsatisfiable % 33.88/34.68 % SZS output start Proof % 33.88/34.70 ( % 33.88/34.70 (declare-sort $$unsorted 0) % 33.88/34.70 (declare-const tptp.sk5 $$unsorted) % 33.88/34.70 (declare-const tptp.sk4 $$unsorted) % 33.88/34.70 (declare-const tptp.sk2 $$unsorted) % 33.88/34.70 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.nil $$unsorted) % 33.88/34.70 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.sk1 $$unsorted) % 33.88/34.70 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.skac2 $$unsorted) % 33.88/34.70 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.sk3 $$unsorted) % 33.88/34.70 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.ssList (-> $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skac3 $$unsorted) % 33.88/34.70 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 33.88/34.70 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 33.88/34.70 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 33.88/34.70 (define @t1 () (tptp.ssList tptp.nil)) % 33.88/34.70 (define @t2 () (@var "U" $$unsorted)) % 33.88/34.70 (define @t3 () (tptp.skaf83 @t2)) % 33.88/34.70 (define @t4 () (@list @t2)) % 33.88/34.70 (define @t5 () (tptp.skaf82 @t2)) % 33.88/34.70 (define @t6 () (tptp.skaf81 @t2)) % 33.88/34.70 (define @t7 () (tptp.skaf80 @t2)) % 33.88/34.70 (define @t8 () (tptp.skaf79 @t2)) % 33.88/34.70 (define @t9 () (tptp.skaf78 @t2)) % 33.88/34.70 (define @t10 () (tptp.skaf77 @t2)) % 33.88/34.70 (define @t11 () (tptp.skaf76 @t2)) % 33.88/34.70 (define @t12 () (tptp.skaf75 @t2)) % 33.88/34.70 (define @t13 () (tptp.skaf74 @t2)) % 33.88/34.70 (define @t14 () (tptp.skaf73 @t2)) % 33.88/34.70 (define @t15 () (tptp.skaf72 @t2)) % 33.88/34.70 (define @t16 () (tptp.skaf71 @t2)) % 33.88/34.70 (define @t17 () (tptp.skaf70 @t2)) % 33.88/34.70 (define @t18 () (tptp.skaf69 @t2)) % 33.88/34.70 (define @t19 () (tptp.skaf68 @t2)) % 33.88/34.70 (define @t20 () (tptp.skaf67 @t2)) % 33.88/34.70 (define @t21 () (tptp.skaf66 @t2)) % 33.88/34.70 (define @t22 () (tptp.skaf65 @t2)) % 33.88/34.70 (define @t23 () (tptp.skaf64 @t2)) % 33.88/34.70 (define @t24 () (tptp.skaf63 @t2)) % 33.88/34.70 (define @t25 () (tptp.skaf62 @t2)) % 33.88/34.70 (define @t26 () (tptp.skaf61 @t2)) % 33.88/34.70 (define @t27 () (tptp.skaf60 @t2)) % 33.88/34.70 (define @t28 () (tptp.skaf59 @t2)) % 33.88/34.70 (define @t29 () (tptp.skaf58 @t2)) % 33.88/34.70 (define @t30 () (tptp.skaf57 @t2)) % 33.88/34.70 (define @t31 () (tptp.skaf56 @t2)) % 33.88/34.70 (define @t32 () (tptp.skaf55 @t2)) % 33.88/34.70 (define @t33 () (tptp.skaf54 @t2)) % 33.88/34.70 (define @t34 () (tptp.skaf53 @t2)) % 33.88/34.70 (define @t35 () (tptp.skaf52 @t2)) % 33.88/34.70 (define @t36 () (tptp.skaf51 @t2)) % 33.88/34.70 (define @t37 () (tptp.skaf50 @t2)) % 33.88/34.70 (define @t38 () (tptp.skaf49 @t2)) % 33.88/34.70 (define @t39 () (tptp.skaf44 @t2)) % 33.88/34.70 (define @t40 () (@var "V" $$unsorted)) % 33.88/34.70 (define @t41 () (@list @t2 @t40)) % 33.88/34.70 (define @t42 () (tptp.skaf47 @t2 @t40)) % 33.88/34.70 (define @t43 () (tptp.skaf46 @t2 @t40)) % 33.88/34.70 (define @t44 () (tptp.skaf45 @t2 @t40)) % 33.88/34.70 (define @t45 () (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 33.88/34.70 (define @t46 () (tptp.skaf42 @t2 @t40)) % 33.88/34.70 (define @t47 () (not (tptp.ssItem @t2))) % 33.88/34.70 (define @t48 () (not (tptp.ssList @t2))) % 33.88/34.70 (define @t49 () (tptp.cons @t2 tptp.nil)) % 33.88/34.70 (define @t50 () (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t47))) % 33.88/34.70 (define @t51 () (tptp.ssItem @t40)) % 33.88/34.70 (define @t52 () (tptp.duplicatefreeP @t2)) % 33.88/34.70 (define @t53 () (tptp.app @t2 tptp.nil)) % 33.88/34.70 (define @t54 () (or @t48 (= @t53 @t2))) % 33.88/34.70 (define @t55 () (forall @t4 @t54)) % 33.88/34.70 (define @t56 () (tptp.app tptp.nil @t2)) % 33.88/34.70 (define @t57 () (or @t48 (= @t56 @t2))) % 33.88/34.70 (define @t58 () (forall @t4 @t57)) % 33.88/34.70 (define @t59 () (= tptp.nil @t2)) % 33.88/34.70 (define @t60 () (tptp.tl @t2)) % 33.88/34.70 (define @t61 () (tptp.hd @t2)) % 33.88/34.70 (define @t62 () (tptp.segmentP tptp.nil @t2)) % 33.88/34.70 (define @t63 () (not @t59)) % 33.88/34.70 (define @t64 () (or @t63 @t48 @t62)) % 33.88/34.70 (define @t65 () (forall @t4 @t64)) % 33.88/34.70 (define @t66 () (tptp.rearsegP tptp.nil @t2)) % 33.88/34.70 (define @t67 () (tptp.frontsegP tptp.nil @t2)) % 33.88/34.70 (define @t68 () (tptp.app @t40 @t2)) % 33.88/34.70 (define @t69 () (not (tptp.ssList @t40))) % 33.88/34.70 (define @t70 () (tptp.cons @t2 @t40)) % 33.88/34.70 (define @t71 () (forall @t41 (or @t47 @t69 (tptp.ssList @t70)))) % 33.88/34.70 (define @t72 () (tptp.cyclefreeP @t2)) % 33.88/34.70 (define @t73 () (tptp.equalelemsP @t2)) % 33.88/34.70 (define @t74 () (tptp.strictorderedP @t2)) % 33.88/34.70 (define @t75 () (tptp.totalorderedP @t2)) % 33.88/34.70 (define @t76 () (tptp.strictorderP @t2)) % 33.88/34.70 (define @t77 () (tptp.totalorderP @t2)) % 33.88/34.70 (define @t78 () (not (= @t70 tptp.nil))) % 33.88/34.70 (define @t79 () (or @t78 @t47 @t69)) % 33.88/34.70 (define @t80 () (forall @t41 @t79)) % 33.88/34.70 (define @t81 () (= @t40 @t2)) % 33.88/34.70 (define @t82 () (tptp.neq @t40 @t2)) % 33.88/34.70 (define @t83 () (or @t48 @t69 @t82 @t81)) % 33.88/34.70 (define @t84 () (forall @t41 @t83)) % 33.88/34.70 (define @t85 () (not @t51)) % 33.88/34.70 (define @t86 () (tptp.leq @t2 @t40)) % 33.88/34.70 (define @t87 () (tptp.lt @t2 @t40)) % 33.88/34.70 (define @t88 () (not @t87)) % 33.88/34.70 (define @t89 () (tptp.lt @t40 @t2)) % 33.88/34.70 (define @t90 () (not (tptp.gt @t2 @t40))) % 33.88/34.70 (define @t91 () (tptp.gt @t40 @t2)) % 33.88/34.70 (define @t92 () (tptp.leq @t40 @t2)) % 33.88/34.70 (define @t93 () (not (tptp.geq @t2 @t40))) % 33.88/34.70 (define @t94 () (tptp.geq @t40 @t2)) % 33.88/34.70 (define @t95 () (not @t86)) % 33.88/34.70 (define @t96 () (= @t2 @t40)) % 33.88/34.70 (define @t97 () (not @t96)) % 33.88/34.70 (define @t98 () (tptp.cons @t40 @t2)) % 33.88/34.70 (define @t99 () (not (tptp.neq @t2 @t40))) % 33.88/34.70 (define @t100 () (tptp.app @t2 @t40)) % 33.88/34.70 (define @t101 () (= @t100 tptp.nil)) % 33.88/34.70 (define @t102 () (not @t101)) % 33.88/34.70 (define @t103 () (or @t102 @t69 @t48 @t59)) % 33.88/34.70 (define @t104 () (forall @t41 @t103)) % 33.88/34.70 (define @t105 () (= tptp.nil @t40)) % 33.88/34.70 (define @t106 () (tptp.app @t49 @t40)) % 33.88/34.70 (define @t107 () (or @t47 @t69 (= @t106 @t70))) % 33.88/34.70 (define @t108 () (forall @t41 @t107)) % 33.88/34.70 (define @t109 () (tptp.hd @t40)) % 33.88/34.70 (define @t110 () (tptp.strictorderedP @t40)) % 33.88/34.70 (define @t111 () (tptp.strictorderedP @t70)) % 33.88/34.70 (define @t112 () (not @t111)) % 33.88/34.70 (define @t113 () (tptp.totalorderedP @t40)) % 33.88/34.70 (define @t114 () (tptp.totalorderedP @t70)) % 33.88/34.70 (define @t115 () (not @t114)) % 33.88/34.70 (define @t116 () (not (tptp.segmentP @t2 @t40))) % 33.88/34.70 (define @t117 () (not (tptp.rearsegP @t2 @t40))) % 33.88/34.70 (define @t118 () (not (tptp.frontsegP @t2 @t40))) % 33.88/34.70 (define @t119 () (not @t92)) % 33.88/34.70 (define @t120 () (tptp.app @t40 @t44)) % 33.88/34.70 (define @t121 () (or @t118 @t69 @t48 (= @t120 @t2))) % 33.88/34.70 (define @t122 () (forall @t41 @t121)) % 33.88/34.70 (define @t123 () (tptp.tl @t40)) % 33.88/34.70 (define @t124 () (tptp.lt @t2 @t109)) % 33.88/34.70 (define @t125 () (tptp.leq @t2 @t109)) % 33.88/34.70 (define @t126 () (@var "W" $$unsorted)) % 33.88/34.70 (define @t127 () (tptp.app @t126 @t2)) % 33.88/34.70 (define @t128 () (not (tptp.ssList @t126))) % 33.88/34.70 (define @t129 () (@list @t2 @t40 @t126)) % 33.88/34.70 (define @t130 () (tptp.app @t2 @t126)) % 33.88/34.70 (define @t131 () (tptp.cons @t40 @t126)) % 33.88/34.70 (define @t132 () (tptp.cons @t126 @t2)) % 33.88/34.70 (define @t133 () (not (tptp.ssItem @t126))) % 33.88/34.70 (define @t134 () (not (tptp.memberP @t2 @t40))) % 33.88/34.70 (define @t135 () (not (= @t100 @t126))) % 33.88/34.70 (define @t136 () (tptp.lt @t2 @t126)) % 33.88/34.70 (define @t137 () (not (tptp.lt @t40 @t126))) % 33.88/34.70 (define @t138 () (tptp.app @t126 @t40)) % 33.88/34.70 (define @t139 () (= @t40 @t126)) % 33.88/34.70 (define @t140 () (forall @t129 (or (not (= @t100 @t130)) @t69 @t48 @t128 @t139))) % 33.88/34.70 (define @t141 () (= @t2 @t126)) % 33.88/34.70 (define @t142 () (tptp.memberP @t40 @t126)) % 33.88/34.70 (define @t143 () (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2))) % 33.88/34.70 (define @t144 () (or @t116 @t69 @t48 (= @t143 @t2))) % 33.88/34.70 (define @t145 () (forall @t41 @t144)) % 33.88/34.70 (define @t146 () (tptp.app @t46 (tptp.cons @t40 (tptp.skaf43 @t40 @t2)))) % 33.88/34.70 (define @t147 () (or @t134 @t85 @t48 (= @t146 @t2))) % 33.88/34.70 (define @t148 () (forall @t41 @t147)) % 33.88/34.70 (define @t149 () (@var "X" $$unsorted)) % 33.88/34.70 (define @t150 () (not (tptp.ssList @t149))) % 33.88/34.70 (define @t151 () (tptp.cons @t126 @t149)) % 33.88/34.70 (define @t152 () (not (= @t70 @t151))) % 33.88/34.70 (define @t153 () (@list @t2 @t40 @t126 @t149)) % 33.88/34.70 (define @t154 () (not (tptp.frontsegP @t70 @t151))) % 33.88/34.70 (define @t155 () (tptp.app @t2 @t131)) % 33.88/34.70 (define @t156 () (not (tptp.ssItem @t149))) % 33.88/34.70 (define @t157 () (@var "Y" $$unsorted)) % 33.88/34.70 (define @t158 () (not (tptp.ssList @t157))) % 33.88/34.70 (define @t159 () (@list @t2 @t40 @t126 @t149 @t157)) % 33.88/34.70 (define @t160 () (tptp.lt @t40 @t149)) % 33.88/34.70 (define @t161 () (@var "Z" $$unsorted)) % 33.88/34.70 (define @t162 () (not (tptp.ssList @t161))) % 33.88/34.70 (define @t163 () (not (= (tptp.app @t155 (tptp.cons @t149 @t157)) @t161))) % 33.88/34.70 (define @t164 () (@list @t2 @t40 @t126 @t149 @t157 @t161)) % 33.88/34.70 (define @t165 () (tptp.leq @t40 @t149)) % 33.88/34.70 (define @t166 () (tptp.ssList tptp.sk3)) % 33.88/34.70 (define @t167 () (tptp.ssList tptp.sk4)) % 33.88/34.70 (define @t168 () (= tptp.nil tptp.sk4)) % 33.88/34.70 (define @t169 () (tptp.ssItem tptp.sk5)) % 33.88/34.70 (define @t170 () (= tptp.nil tptp.sk3)) % 33.88/34.70 (define @t171 () (tptp.cons tptp.sk5 tptp.nil)) % 33.88/34.70 (define @t172 () (= @t171 tptp.sk3)) % 33.88/34.70 (define @t173 () (or @t172 @t168)) % 33.88/34.70 (define @t174 () (tptp.memberP tptp.sk4 tptp.sk5)) % 33.88/34.70 (define @t175 () (@var "A" $$unsorted)) % 33.88/34.70 (define @t176 () (not (tptp.leq tptp.sk5 @t175))) % 33.88/34.70 (define @t177 () (not (tptp.memberP tptp.sk4 @t175))) % 33.88/34.70 (define @t178 () (= tptp.sk5 @t175)) % 33.88/34.70 (define @t179 () (not (tptp.ssItem @t175))) % 33.88/34.70 (define @t180 () (@list @t175)) % 33.88/34.70 (define @t181 () (or @t172 @t170)) % 33.88/34.70 (define @t182 () (tptp.neq tptp.sk2 tptp.nil)) % 33.88/34.70 (define @t183 () (= tptp.nil tptp.sk2)) % 33.88/34.70 (define @t184 () (tptp.segmentP tptp.sk1 @t175)) % 33.88/34.70 (define @t185 () (not @t184)) % 33.88/34.70 (define @t186 () (tptp.segmentP tptp.sk2 @t175)) % 33.88/34.70 (define @t187 () (not @t186)) % 33.88/34.70 (define @t188 () (not (tptp.neq @t175 tptp.nil))) % 33.88/34.70 (define @t189 () (not (tptp.ssList @t175))) % 33.88/34.70 (define @t190 () (or @t183 @t189 @t188 @t187 @t185)) % 33.88/34.70 (define @t191 () (forall @t180 @t190)) % 33.88/34.70 (define @t192 () (= tptp.nil tptp.sk1)) % 33.88/34.70 (define @t193 () (not @t192)) % 33.88/34.70 (define @t194 () (or @t193 @t182)) % 33.88/34.70 (define @t195 () (or @t193 @t189 @t188 @t187 @t185)) % 33.88/34.70 (define @t196 () (forall @t180 @t195)) % 33.88/34.70 (define @t197 () (= tptp.sk3 @t171)) % 33.88/34.70 (define @t198 () (not @t170)) % 33.88/34.70 (define @t199 () (tptp.neq tptp.sk4 tptp.nil)) % 33.88/34.70 (define @t200 () (or @t189 @t188 @t187 @t185)) % 33.88/34.70 (define @t201 () (forall @t180 @t200)) % 33.88/34.70 (define @t202 () (or @t193 @t201)) % 33.88/34.70 (define @t203 () (or @t193 @t200)) % 33.88/34.70 (define @t204 () (forall @t180 (or @t189 @t188 (not (tptp.segmentP tptp.sk4 @t175)) (not (tptp.segmentP tptp.sk3 @t175))))) % 33.88/34.70 (define @t205 () (@list tptp.sk4)) % 33.88/34.70 (define @t206 () (tptp.segmentP tptp.sk3 tptp.sk4)) % 33.88/34.70 (define @t207 () (not @t206)) % 33.88/34.70 (define @t208 () (tptp.segmentP tptp.sk4 tptp.sk4)) % 33.88/34.70 (define @t209 () (not @t208)) % 33.88/34.70 (define @t210 () (not @t199)) % 33.88/34.70 (define @t211 () (not @t167)) % 33.88/34.70 (define @t212 () (or @t211 @t210 @t209 @t207)) % 33.88/34.70 (define @t213 () (or @t211 @t208)) % 33.88/34.70 (define @t214 () (@list false false)) % 33.88/34.70 (define @t215 () (not @t212)) % 33.88/34.70 (define @t216 () (@list tptp.sk3)) % 33.88/34.70 (define @t217 () (tptp.segmentP tptp.sk3 tptp.nil)) % 33.88/34.70 (define @t218 () (not @t166)) % 33.88/34.70 (define @t219 () (or @t218 @t217)) % 33.88/34.70 (define @t220 () (@list tptp.nil tptp.nil)) % 33.88/34.70 (define @t221 () (tptp.segmentP tptp.nil tptp.nil)) % 33.88/34.70 (define @t222 () (not @t1)) % 33.88/34.70 (define @t223 () (not (= tptp.nil tptp.nil))) % 33.88/34.70 (define @t224 () (or @t223 @t222 @t221)) % 33.88/34.70 (define @t225 () (or @t63 @t63 @t48 @t62)) % 33.88/34.70 (define @t226 () (@list false)) % 33.88/34.70 (define @t227 () (tptp.skaf48 tptp.nil tptp.nil)) % 33.88/34.70 (define @t228 () (tptp.skaf47 tptp.nil tptp.nil)) % 33.88/34.70 (define @t229 () (tptp.app @t228 tptp.nil)) % 33.88/34.70 (define @t230 () (tptp.app @t229 @t227)) % 33.88/34.70 (define @t231 () (= tptp.nil @t230)) % 33.88/34.70 (define @t232 () (not @t221)) % 33.88/34.70 (define @t233 () (or @t232 @t222 @t222 @t231)) % 33.88/34.70 (define @t234 () (@list false false false)) % 33.88/34.70 (define @t235 () (tptp.frontsegP tptp.sk3 tptp.nil)) % 33.88/34.70 (define @t236 () (or @t218 @t235)) % 33.88/34.70 (define @t237 () (tptp.skaf45 tptp.sk3 tptp.nil)) % 33.88/34.70 (define @t238 () (= tptp.sk3 (tptp.app tptp.nil @t237))) % 33.88/34.70 (define @t239 () (not @t235)) % 33.88/34.70 (define @t240 () (or @t239 @t222 @t218 @t238)) % 33.88/34.70 (define @t241 () (@list false false false false)) % 33.88/34.70 (define @t242 () (tptp.app @t230 @t237)) % 33.88/34.70 (define @t243 () (and @t168 @t217 @t238 @t231)) % 33.88/34.70 (define @t244 () (not @t231)) % 33.88/34.70 (define @t245 () (not @t168)) % 33.88/34.70 (define @t246 () (not @t169)) % 33.88/34.70 (define @t247 () (tptp.memberP tptp.nil tptp.sk5)) % 33.88/34.70 (define @t248 () (not @t247)) % 33.88/34.70 (define @t249 () (or @t248 @t246)) % 33.88/34.70 (define @t250 () (tptp.skaf43 tptp.sk5 tptp.sk4)) % 33.88/34.70 (define @t251 () (@list tptp.sk5 @t250)) % 33.88/34.70 (define @t252 () (tptp.cons tptp.sk5 @t250)) % 33.88/34.70 (define @t253 () (tptp.ssList @t252)) % 33.88/34.70 (define @t254 () (tptp.ssList @t250)) % 33.88/34.70 (define @t255 () (not @t254)) % 33.88/34.70 (define @t256 () (or @t246 @t255 @t253)) % 33.88/34.70 (define @t257 () (@list tptp.sk5 tptp.sk4)) % 33.88/34.70 (define @t258 () (forall @t41 (or @t47 @t69 (= @t70 @t106)))) % 33.88/34.70 (define @t259 () (tptp.app @t171 @t250)) % 33.88/34.70 (define @t260 () (= @t252 @t259)) % 33.88/34.70 (define @t261 () (or @t246 @t255 @t260)) % 33.88/34.70 (define @t262 () (forall @t41 (or (not (= tptp.nil @t70)) @t47 @t69))) % 33.88/34.70 (define @t263 () (= tptp.nil @t171)) % 33.88/34.70 (define @t264 () (not @t263)) % 33.88/34.70 (define @t265 () (or @t264 @t246 @t222)) % 33.88/34.70 (define @t266 () (not @t197)) % 33.88/34.70 (define @t267 () (and @t197 @t264)) % 33.88/34.70 (define @t268 () (= tptp.sk3 (tptp.app tptp.sk3 tptp.nil))) % 33.88/34.70 (define @t269 () (or @t218 @t268)) % 33.88/34.70 (define @t270 () (tptp.app tptp.nil tptp.sk3)) % 33.88/34.70 (define @t271 () (= tptp.sk3 @t270)) % 33.88/34.70 (define @t272 () (or @t218 @t271)) % 33.88/34.70 (define @t273 () (tptp.ssList @t229)) % 33.88/34.70 (define @t274 () (tptp.ssList @t228)) % 33.88/34.70 (define @t275 () (not @t274)) % 33.88/34.70 (define @t276 () (or @t222 @t275 @t273)) % 33.88/34.70 (define @t277 () (= tptp.nil @t229)) % 33.88/34.70 (define @t278 () (not @t273)) % 33.88/34.70 (define @t279 () (tptp.ssList @t227)) % 33.88/34.70 (define @t280 () (not @t279)) % 33.88/34.70 (define @t281 () (or @t244 @t280 @t278 @t277)) % 33.88/34.70 (define @t282 () (tptp.segmentP tptp.sk3 tptp.sk3)) % 33.88/34.70 (define @t283 () (or @t218 @t282)) % 33.88/34.70 (define @t284 () (tptp.segmentP (tptp.app @t270 @t250) tptp.sk3)) % 33.88/34.70 (define @t285 () (not @t282)) % 33.88/34.70 (define @t286 () (or @t285 @t255 @t222 @t218 @t218 @t284)) % 33.88/34.70 (define @t287 () (@list false false false false false)) % 33.88/34.70 (define @t288 () (tptp.segmentP @t252 tptp.sk3)) % 33.88/34.70 (define @t289 () (and @t197 @t268 @t271 @t277 @t260 @t284)) % 33.88/34.70 (define @t290 () (tptp.neq tptp.sk3 tptp.nil)) % 33.88/34.70 (define @t291 () (or @t222 @t218 @t290 @t170)) % 33.88/34.70 (define @t292 () (tptp.skaf42 tptp.sk4 tptp.sk5)) % 33.88/34.70 (define @t293 () (tptp.skaf45 tptp.sk4 tptp.sk4)) % 33.88/34.70 (define @t294 () (@list tptp.sk4 tptp.sk4)) % 33.88/34.70 (define @t295 () (@list tptp.sk4 tptp.sk5)) % 33.88/34.70 (define @t296 () (tptp.app @t292 @t252)) % 33.88/34.70 (define @t297 () (tptp.segmentP (tptp.app @t296 @t293) tptp.sk3)) % 33.88/34.70 (define @t298 () (not @t253)) % 33.88/34.70 (define @t299 () (tptp.ssList @t292)) % 33.88/34.70 (define @t300 () (not @t299)) % 33.88/34.70 (define @t301 () (tptp.ssList @t293)) % 33.88/34.70 (define @t302 () (not @t301)) % 33.88/34.70 (define @t303 () (not @t288)) % 33.88/34.70 (define @t304 () (or @t303 @t302 @t300 @t218 @t298 @t297)) % 33.88/34.70 (define @t305 () (not @t174)) % 33.88/34.70 (define @t306 () (and @t174 @t168 @t248)) % 33.88/34.70 (define @t307 () (= tptp.sk4 @t296)) % 33.88/34.70 (define @t308 () (or @t305 @t246 @t211 @t307)) % 33.88/34.70 (define @t309 () (or @t183 @t201)) % 33.88/34.70 (define @t310 () (or @t183 @t200)) % 33.88/34.70 (define @t311 () (tptp.segmentP tptp.sk4 tptp.sk3)) % 33.88/34.70 (define @t312 () (not @t311)) % 33.88/34.70 (define @t313 () (not @t290)) % 33.88/34.70 (define @t314 () (or @t218 @t313 @t312 @t285)) % 33.88/34.70 (define @t315 () (tptp.app tptp.sk4 tptp.nil)) % 33.88/34.70 (define @t316 () (= tptp.sk4 @t315)) % 33.88/34.70 (define @t317 () (or @t211 @t316)) % 33.88/34.70 (define @t318 () (tptp.app tptp.sk4 @t293)) % 33.88/34.70 (define @t319 () (not (= @t318 @t315))) % 33.88/34.70 (define @t320 () (or @t319 @t302 @t211 @t222 (= @t293 tptp.nil))) % 33.88/34.70 (define @t321 () (= tptp.nil @t293)) % 33.88/34.70 (define @t322 () (= @t315 @t318)) % 33.88/34.70 (define @t323 () (not @t322)) % 33.88/34.70 (define @t324 () (or @t323 @t302 @t211 @t222 @t321)) % 33.88/34.70 (define @t325 () (tptp.frontsegP tptp.sk4 tptp.sk4)) % 33.88/34.70 (define @t326 () (or @t211 @t325)) % 33.88/34.70 (define @t327 () (= tptp.sk4 @t318)) % 33.88/34.70 (define @t328 () (not @t325)) % 33.88/34.70 (define @t329 () (or @t328 @t211 @t211 @t327)) % 33.88/34.70 (define @t330 () (and @t316 @t307 @t321 @t297)) % 33.88/34.70 (define @t331 () (@list true)) % 33.88/34.70 (define @t332 () (@list @t169)) % 33.88/34.70 (define @t333 () (@list @t170)) % 33.88/34.70 (assume @p1 (tptp.equalelemsP tptp.nil)) % 33.88/34.70 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 33.88/34.70 (assume @p3 (tptp.strictorderedP tptp.nil)) % 33.88/34.70 (assume @p4 (tptp.totalorderedP tptp.nil)) % 33.88/34.70 (assume @p5 (tptp.strictorderP tptp.nil)) % 33.88/34.70 (assume @p6 (tptp.totalorderP tptp.nil)) % 33.88/34.70 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 33.88/34.70 (assume @p8 @t1) % 33.88/34.70 (assume @p9 (tptp.ssItem tptp.skac3)) % 33.88/34.70 (assume @p10 (tptp.ssItem tptp.skac2)) % 33.88/34.70 (assume @p11 (not (tptp.singletonP tptp.nil))) % 33.88/34.70 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 33.88/34.70 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 33.88/34.70 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 33.88/34.70 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 33.88/34.70 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 33.88/34.70 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 33.88/34.70 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 33.88/34.70 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 33.88/34.70 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 33.88/34.70 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 33.88/34.70 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 33.88/34.70 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 33.88/34.70 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 33.88/34.70 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 33.88/34.70 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 33.88/34.70 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 33.88/34.70 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 33.88/34.70 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 33.88/34.70 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 33.88/34.70 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 33.88/34.70 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 33.88/34.70 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 33.88/34.70 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 33.88/34.70 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 33.88/34.70 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 33.88/34.70 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 33.88/34.70 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 33.88/34.70 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 33.88/34.70 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 33.88/34.70 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 33.88/34.70 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 33.88/34.70 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 33.88/34.70 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 33.88/34.70 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 33.88/34.70 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 33.88/34.70 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 33.88/34.70 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 33.88/34.70 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 33.88/34.70 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 33.88/34.70 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 33.88/34.70 (assume @p52 @t45) % 33.88/34.70 (assume @p53 (forall @t41 (tptp.ssList @t46))) % 33.88/34.70 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 33.88/34.70 (assume @p55 (forall @t4 (or @t47 (tptp.geq @t2 @t2)))) % 33.88/34.70 (assume @p56 (forall @t4 (or @t48 (tptp.segmentP @t2 tptp.nil)))) % 33.88/34.70 (assume @p57 (forall @t4 (or @t48 (tptp.segmentP @t2 @t2)))) % 33.88/34.70 (assume @p58 (forall @t4 (or @t48 (tptp.rearsegP @t2 tptp.nil)))) % 33.88/34.70 (assume @p59 (forall @t4 (or @t48 (tptp.rearsegP @t2 @t2)))) % 33.88/34.70 (assume @p60 (forall @t4 (or @t48 (tptp.frontsegP @t2 tptp.nil)))) % 33.88/34.70 (assume @p61 (forall @t4 (or @t48 (tptp.frontsegP @t2 @t2)))) % 33.88/34.70 (assume @p62 (forall @t4 (or @t47 (tptp.leq @t2 @t2)))) % 33.88/34.70 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t47))) % 33.88/34.70 (assume @p64 (forall @t4 (or @t47 (tptp.equalelemsP @t49)))) % 33.88/34.70 (assume @p65 (forall @t4 (or @t47 (tptp.duplicatefreeP @t49)))) % 33.88/34.70 (assume @p66 (forall @t4 (or @t47 (tptp.strictorderedP @t49)))) % 33.88/34.70 (assume @p67 (forall @t4 (or @t47 (tptp.totalorderedP @t49)))) % 33.88/34.70 (assume @p68 (forall @t4 (or @t47 (tptp.strictorderP @t49)))) % 33.88/34.70 (assume @p69 (forall @t4 (or @t47 (tptp.totalorderP @t49)))) % 33.88/34.70 (assume @p70 (forall @t4 (or @t47 (tptp.cyclefreeP @t49)))) % 33.88/34.70 (assume @p71 @t50) % 33.88/34.70 (assume @p72 (forall @t41 (or @t48 @t52 @t51))) % 33.88/34.70 (assume @p73 @t55) % 33.88/34.70 (assume @p74 @t58) % 33.88/34.70 (assume @p75 (forall @t4 (or @t48 (tptp.ssList @t60) @t59))) % 33.88/34.70 (assume @p76 (forall @t4 (or @t48 (tptp.ssItem @t61) @t59))) % 33.88/34.70 (assume @p77 @t65) % 33.88/34.70 (assume @p78 (forall @t4 (or (not @t62) @t48 @t59))) % 33.88/34.70 (assume @p79 (forall @t4 (or @t63 @t48 @t66))) % 33.88/34.70 (assume @p80 (forall @t4 (or (not @t66) @t48 @t59))) % 33.88/34.70 (assume @p81 (forall @t4 (or @t63 @t48 @t67))) % 33.88/34.70 (assume @p82 (forall @t4 (or (not @t67) @t48 @t59))) % 33.88/34.70 (assume @p83 (forall @t41 (or @t48 @t69 (tptp.ssList @t68)))) % 33.88/34.70 (assume @p84 @t71) % 33.88/34.70 (assume @p85 (forall @t4 (or @t48 @t72 (tptp.leq @t37 @t38)))) % 33.88/34.70 (assume @p86 (forall @t4 (or @t48 @t72 (tptp.leq @t38 @t37)))) % 33.88/34.70 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t48 @t73))) % 33.88/34.70 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t48 @t74))) % 33.88/34.70 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t48 @t75))) % 33.88/34.70 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t48 @t76))) % 33.88/34.70 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t48 @t76))) % 33.88/34.70 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t48 @t77))) % 33.88/34.70 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t48 @t77))) % 33.88/34.70 (assume @p94 (forall @t41 (or @t47 @t69 (= (tptp.tl @t70) @t40)))) % 33.88/34.70 (assume @p95 (forall @t41 (or @t47 @t69 (= (tptp.hd @t70) @t2)))) % 33.88/34.70 (assume @p96 @t80) % 33.88/34.70 (assume @p97 (forall @t41 (or (not (= @t70 @t40)) @t47 @t69))) % 33.88/34.70 (assume @p98 @t84) % 33.88/34.70 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t48 (= (tptp.cons @t39 tptp.nil) @t2)))) % 33.88/34.70 (assume @p100 (forall @t41 (or @t47 @t85 @t82 @t81))) % 33.88/34.70 (assume @p101 (forall @t41 (or @t88 @t85 @t47 @t86))) % 33.88/34.70 (assume @p102 (forall @t4 (or @t48 (= (tptp.cons @t61 @t60) @t2) @t59))) % 33.88/34.70 (assume @p103 (forall @t41 (or @t90 @t85 @t47 @t89))) % 33.88/34.70 (assume @p104 (forall @t41 (or @t88 @t47 @t85 @t91))) % 33.88/34.70 (assume @p105 (forall @t41 (or @t93 @t85 @t47 @t92))) % 33.88/34.70 (assume @p106 (forall @t41 (or @t95 @t47 @t85 @t94))) % 33.88/34.70 (assume @p107 (forall @t4 (or @t48 (= (tptp.cons @t3 @t5) @t2) @t59))) % 33.88/34.70 (assume @p108 (forall @t41 (or @t90 (not @t91) @t47 @t85))) % 33.88/34.70 (assume @p109 (forall @t41 (or @t97 @t88 @t85 @t47))) % 33.88/34.70 (assume @p110 (forall @t41 (or @t63 @t48 @t85 (tptp.strictorderedP @t98)))) % 33.88/34.70 (assume @p111 (forall @t41 (or @t63 @t48 @t85 (tptp.totalorderedP @t98)))) % 33.88/34.70 (assume @p112 (forall @t41 (or @t88 (not @t89) @t47 @t85))) % 33.88/34.70 (assume @p113 (forall @t41 (or @t97 @t99 @t69 @t48))) % 33.88/34.70 (assume @p114 (forall @t41 (or (not (= @t49 @t40)) @t47 @t69 (tptp.singletonP @t40)))) % 33.88/34.70 (assume @p115 (forall @t41 (or @t97 @t99 @t85 @t47))) % 33.88/34.70 (assume @p116 @t104) % 33.88/34.70 (assume @p117 (forall @t41 (or @t102 @t69 @t48 @t105))) % 33.88/34.70 (assume @p118 @t108) % 33.88/34.70 (assume @p119 (forall @t41 (or @t95 @t85 @t47 @t87 @t96))) % 33.88/34.70 (assume @p120 (forall @t41 (or @t48 @t69 @t105 (= (tptp.hd @t68) @t109)))) % 33.88/34.70 (assume @p121 (forall @t41 (or @t112 @t69 @t47 @t110 @t105))) % 33.88/34.70 (assume @p122 (forall @t41 (or @t115 @t69 @t47 @t113 @t105))) % 33.88/34.70 (assume @p123 (forall @t41 (or @t93 (not @t94) @t47 @t85 @t81))) % 33.88/34.70 (assume @p124 (forall @t41 (or @t116 (not (tptp.segmentP @t40 @t2)) @t48 @t69 @t81))) % 33.88/34.70 (assume @p125 (forall @t41 (or @t117 (not (tptp.rearsegP @t40 @t2)) @t48 @t69 @t81))) % 33.88/34.70 (assume @p126 (forall @t41 (or @t118 (not (tptp.frontsegP @t40 @t2)) @t48 @t69 @t81))) % 33.88/34.70 (assume @p127 (forall @t41 (or @t95 @t119 @t47 @t85 @t81))) % 33.88/34.70 (assume @p128 (forall @t41 (or @t117 @t69 @t48 (= (tptp.app @t43 @t40) @t2)))) % 33.88/34.70 (assume @p129 @t122) % 33.88/34.70 (assume @p130 (forall @t41 (or @t48 @t69 @t105 (= (tptp.tl @t68) (tptp.app @t123 @t2))))) % 33.88/34.70 (assume @p131 (forall @t41 (or @t112 @t69 @t47 @t124 @t105))) % 33.88/34.70 (assume @p132 (forall @t41 (or @t115 @t69 @t47 @t125 @t105))) % 33.88/34.70 (assume @p133 (forall @t129 (or @t117 @t128 @t69 @t48 (tptp.rearsegP @t127 @t40)))) % 33.88/34.70 (assume @p134 (forall @t129 (or @t118 @t128 @t69 @t48 (tptp.frontsegP @t130 @t40)))) % 33.88/34.70 (assume @p135 (forall @t129 (or @t97 @t128 @t85 @t47 (tptp.memberP @t131 @t2)))) % 33.88/34.70 (assume @p136 (forall @t129 (or @t134 @t48 @t133 @t85 (tptp.memberP @t132 @t40)))) % 33.88/34.70 (assume @p137 (forall @t129 (or @t134 @t128 @t48 @t85 (tptp.memberP @t130 @t40)))) % 33.88/34.70 (assume @p138 (forall @t129 (or @t134 @t48 @t128 @t85 (tptp.memberP @t127 @t40)))) % 33.88/34.70 (assume @p139 (forall @t4 (or @t48 @t73 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 33.88/34.70 (assume @p140 (forall @t129 (or @t135 @t48 @t69 @t128 (tptp.rearsegP @t126 @t40)))) % 33.88/34.70 (assume @p141 (forall @t129 (or @t135 @t69 @t48 @t128 (tptp.frontsegP @t126 @t2)))) % 33.88/34.70 (assume @p142 (forall @t41 (or @t63 (not @t105) @t69 @t48 @t101))) % 33.88/34.70 (assume @p143 (forall @t129 (or @t90 (not (tptp.gt @t40 @t126)) @t133 @t85 @t47 (tptp.gt @t2 @t126)))) % 33.88/34.70 (assume @p144 (forall @t129 (or @t95 @t137 @t133 @t85 @t47 @t136))) % 33.88/34.70 (assume @p145 (forall @t129 (or @t93 (not (tptp.geq @t40 @t126)) @t133 @t85 @t47 (tptp.geq @t2 @t126)))) % 33.88/34.70 (assume @p146 (forall @t129 (or @t48 @t69 @t128 (= (tptp.app @t138 @t2) (tptp.app @t126 @t68))))) % 33.88/34.70 (assume @p147 @t140) % 33.88/34.70 (assume @p148 (forall @t129 (or (not (= @t100 @t138)) @t48 @t69 @t128 @t141))) % 33.88/34.70 (assume @p149 (forall @t129 (or @t116 (not (tptp.segmentP @t40 @t126)) @t128 @t69 @t48 (tptp.segmentP @t2 @t126)))) % 33.88/34.70 (assume @p150 (forall @t129 (or @t117 (not (tptp.rearsegP @t40 @t126)) @t128 @t69 @t48 (tptp.rearsegP @t2 @t126)))) % 33.88/34.70 (assume @p151 (forall @t129 (or @t118 (not (tptp.frontsegP @t40 @t126)) @t128 @t69 @t48 (tptp.frontsegP @t2 @t126)))) % 33.88/34.70 (assume @p152 (forall @t129 (or @t88 @t137 @t133 @t85 @t47 @t136))) % 33.88/34.70 (assume @p153 (forall @t129 (or @t95 (not (tptp.leq @t40 @t126)) @t133 @t85 @t47 (tptp.leq @t2 @t126)))) % 33.88/34.70 (assume @p154 (forall @t129 (or @t47 @t69 @t128 (= (tptp.cons @t2 (tptp.app @t40 @t126)) (tptp.app @t70 @t126))))) % 33.88/34.70 (assume @p155 (forall @t129 (or (not (tptp.memberP @t100 @t126)) @t69 @t48 @t133 @t142 (tptp.memberP @t2 @t126)))) % 33.88/34.70 (assume @p156 (forall @t41 (or (not @t125) (not @t113) @t69 @t47 @t114 @t105))) % 33.88/34.70 (assume @p157 (forall @t41 (or (not @t124) (not @t110) @t69 @t47 @t111 @t105))) % 33.88/34.70 (assume @p158 (forall @t129 (or (not (tptp.memberP @t70 @t126)) @t69 @t47 @t133 @t142 (= @t126 @t2)))) % 33.88/34.70 (assume @p159 (forall @t4 (or @t48 @t52 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 33.88/34.70 (assume @p160 (forall @t4 (or @t48 @t74 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 33.88/34.70 (assume @p161 (forall @t4 (or @t48 @t75 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 33.88/34.70 (assume @p162 (forall @t4 (or @t48 @t76 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 33.88/34.70 (assume @p163 (forall @t4 (or @t48 @t77 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 33.88/34.70 (assume @p164 (forall @t4 (or @t48 @t72 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 33.88/34.70 (assume @p165 @t145) % 33.88/34.70 (assume @p166 @t148) % 33.88/34.70 (assume @p167 (forall @t153 (or @t152 @t133 @t47 @t150 @t69 @t141))) % 33.88/34.70 (assume @p168 (forall @t153 (or @t152 @t133 @t47 @t150 @t69 (= @t149 @t40)))) % 33.88/34.70 (assume @p169 (forall @t153 (or @t116 @t128 @t150 @t69 @t48 (tptp.segmentP (tptp.app (tptp.app @t149 @t2) @t126) @t40)))) % 33.88/34.70 (assume @p170 (forall @t153 (or (not (= (tptp.app @t100 @t126) @t149)) @t128 @t48 @t69 @t150 (tptp.segmentP @t149 @t40)))) % 33.88/34.70 (assume @p171 (forall @t153 (or @t154 @t150 @t69 @t133 @t47 (tptp.frontsegP @t40 @t149)))) % 33.88/34.70 (assume @p172 (forall @t153 (or (not (= @t155 @t149)) @t128 @t48 @t85 @t150 (tptp.memberP @t149 @t40)))) % 33.88/34.70 (assume @p173 (forall @t153 (or @t154 @t150 @t69 @t133 @t47 @t141))) % 33.88/34.70 (assume @p174 (forall @t41 (or (not (= @t60 @t123)) (not (= @t61 @t109)) @t48 @t69 @t105 @t96 @t59))) % 33.88/34.70 (assume @p175 (forall @t153 (or @t118 (not (= @t126 @t149)) @t69 @t48 @t156 @t133 (tptp.frontsegP @t132 (tptp.cons @t149 @t40))))) % 33.88/34.70 (assume @p176 (forall @t159 (or (not (= (tptp.app @t155 (tptp.cons @t40 @t149)) @t157)) @t150 @t128 @t48 @t85 (not (tptp.duplicatefreeP @t157)) @t158))) % 33.88/34.70 (assume @p177 (forall @t159 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t151)) @t157)) @t150 @t48 @t133 @t85 (not (tptp.equalelemsP @t157)) @t158 @t139))) % 33.88/34.70 (assume @p178 (forall @t164 (or @t163 @t158 @t128 @t48 @t156 @t85 (not (tptp.strictorderedP @t161)) @t162 @t160))) % 33.88/34.70 (assume @p179 (forall @t164 (or @t163 @t158 @t128 @t48 @t156 @t85 (not (tptp.totalorderedP @t161)) @t162 @t165))) % 33.88/34.70 (assume @p180 (forall @t164 (or @t163 @t158 @t128 @t48 @t156 @t85 (not (tptp.strictorderP @t161)) @t162 @t160 (tptp.lt @t149 @t40)))) % 33.88/34.70 (assume @p181 (forall @t164 (or @t163 @t158 @t128 @t48 @t156 @t85 (not (tptp.totalorderP @t161)) @t162 @t165 (tptp.leq @t149 @t40)))) % 33.88/34.70 (assume @p182 (forall @t164 (or @t95 @t119 (not (= (tptp.app (tptp.app @t126 (tptp.cons @t2 @t149)) (tptp.cons @t40 @t157)) @t161)) @t158 @t150 @t128 @t85 @t47 (not (tptp.cyclefreeP @t161)) @t162))) % 33.88/34.70 (assume @p183 (tptp.ssList tptp.sk1)) % 33.88/34.70 (assume @p184 (tptp.ssList tptp.sk2)) % 33.88/34.70 (assume @p185 @t166) % 33.88/34.70 (assume @p186 @t167) % 33.88/34.70 (assume @p187 (= tptp.sk2 tptp.sk4)) % 33.88/34.70 (assume @p188 (= tptp.sk1 tptp.sk3)) % 33.88/34.70 (assume @p189 (or @t169 @t168)) % 33.88/34.70 (assume @p190 (or @t169 @t170)) % 33.88/34.70 (assume @p191 @t173) % 33.88/34.70 (assume @p192 (or @t174 @t168)) % 33.88/34.70 (assume @p193 (forall @t180 (or @t179 @t178 @t177 @t176 @t168))) % 33.88/34.70 (assume @p194 @t181) % 33.88/34.70 (assume @p195 (or @t174 @t170)) % 33.88/34.70 (assume @p196 (forall @t180 (or @t179 @t178 @t177 @t176 @t170))) % 33.88/34.70 (assume @p197 (or @t183 @t182)) % 33.88/34.70 (assume @p198 @t191) % 33.88/34.70 (assume @p199 @t194) % 33.88/34.70 (assume @p200 @t196) % 33.88/34.70 (step @p201 :rule refl :args (@t168)) % 33.88/34.70 (step @p202 :rule eq-symm :args (@t171 tptp.sk3)) % 33.88/34.70 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t173)) % 33.88/34.70 (step @p204 :rule eq_resolve :premises (@p191 @p203)) % 33.88/34.70 (step @p205 :rule reordering :premises (@p204) :args ((or @t168 @t197))) % 33.88/34.70 (step @p206 :rule refl :args (@t170)) % 33.88/34.70 (step @p207 :rule nary_cong :premises (@p202 @p206) :args (@t181)) % 33.88/34.70 (step @p208 :rule eq_resolve :premises (@p194 @p207)) % 33.88/34.70 (step @p209 :rule reordering :premises (@p208) :args ((or @t170 @t197))) % 33.88/34.70 (step @p210 :rule refl :args (tptp.nil)) % 33.88/34.70 (step @p211 :rule cong :premises (@p187 @p210) :args (@t182)) % 33.88/34.70 (step @p212 :rule cong :premises (@p210 @p188) :args (@t192)) % 33.88/34.70 (step @p213 :rule cong :premises (@p212) :args (@t193)) % 33.88/34.70 (step @p214 :rule nary_cong :premises (@p213 @p211) :args (@t194)) % 33.88/34.70 (step @p215 :rule eq_resolve :premises (@p199 @p214)) % 33.88/34.70 (step @p216 :rule reordering :premises (@p215) :args ((or @t199 @t198))) % 33.88/34.70 (step @p217 :rule refl :args (@t175)) % 33.88/34.70 (step @p218 :rule cong :premises (@p188 @p217) :args (@t184)) % 33.88/34.70 (step @p219 :rule cong :premises (@p218) :args (@t185)) % 33.88/34.70 (step @p220 :rule cong :premises (@p187 @p217) :args (@t186)) % 33.88/34.70 (step @p221 :rule cong :premises (@p220) :args (@t187)) % 33.88/34.70 (step @p222 :rule refl :args (@t188)) % 33.88/34.70 (step @p223 :rule refl :args (@t189)) % 33.88/34.70 (step @p224 :rule nary_cong :premises (@p223 @p222 @p221 @p219) :args (@t200)) % 33.88/34.70 (step @p225 :rule cong :premises (@p224) :args (@t201)) % 33.88/34.70 (step @p226 :rule nary_cong :premises (@p213 @p225) :args (@t202)) % 33.88/34.70 (step @p227 :rule quant-miniscope-or :args ((= (forall @t180 @t203) @t202))) % 33.88/34.70 (step @p228 :rule aci_norm :args ((= @t195 @t203))) % 33.88/34.70 (step @p229 :rule cong :premises (@p228) :args (@t196)) % 33.88/34.70 (step @p230 :rule trans :premises (@p229 @p227)) % 33.88/34.70 (step @p231 :rule trans :premises (@p230 @p226)) % 33.88/34.70 (step @p232 :rule eq_resolve :premises (@p200 @p231)) % 33.88/34.70 (step @p233 :rule reordering :premises (@p232) :args ((or @t204 @t198))) % 33.88/34.70 (assume-push @p633 @t204) % 33.88/34.70 (step @p235 :rule instantiate :premises (@p633) :args (@t205)) % 33.88/34.70 (step-pop @p634 :rule scope :premises (@p235)) % 33.88/34.70 (step @p236 :rule process_scope :premises (@p634) :args (@t212)) % 33.88/34.70 (step @p238 :rule implies_elim :premises (@p236)) % 33.88/34.70 (step @p239 :rule instantiate :premises (@p57) :args (@t205)) % 33.88/34.70 (step @p240 :rule cnf_or_pos :args (@t213)) % 33.88/34.70 (step @p241 :rule reordering :premises (@p240) :args ((or @t211 @t208 (not @t213)))) % 33.88/34.70 (step @p242 :rule chain_m_resolution :premises (@p241 @p186 @p239) :args (@t208 @t214 (@list @t167 @t213))) % 33.88/34.70 (step @p243 :rule cnf_or_pos :args (@t212)) % 33.88/34.70 (step @p244 :rule reordering :premises (@p243) :args ((or @t211 @t210 @t209 @t207 @t215))) % 33.88/34.70 (step @p245 :rule instantiate :premises (@p56) :args (@t216)) % 33.88/34.70 (step @p246 :rule cnf_or_pos :args (@t219)) % 33.88/34.70 (step @p247 :rule reordering :premises (@p246) :args ((or @t218 @t217 (not @t219)))) % 33.88/34.70 (step @p248 :rule chain_m_resolution :premises (@p247 @p185 @p245) :args (@t217 @t214 (@list @t166 @t219))) % 33.88/34.70 (step @p249 :rule eq-symm :args (@t143 @t2)) % 33.88/34.70 (step @p250 :rule refl :args (@t48)) % 33.88/34.70 (step @p251 :rule refl :args (@t69)) % 33.88/34.70 (step @p252 :rule refl :args (@t116)) % 33.88/34.70 (step @p253 :rule nary_cong :premises (@p252 @p251 @p250 @p249) :args (@t144)) % 33.88/34.70 (step @p254 :rule cong :premises (@p253) :args (@t145)) % 33.88/34.70 (step @p255 :rule eq_resolve :premises (@p165 @p254)) % 33.88/34.70 (step @p256 :rule instantiate :premises (@p255) :args (@t220)) % 33.88/34.70 (step @p257 :rule aci_norm :args ((= (or false @t222 @t221) (or @t222 @t221)))) % 33.88/34.70 (step @p258 :rule refl :args (@t221)) % 33.88/34.70 (step @p259 :rule refl :args (@t222)) % 33.88/34.70 (step @p260 :rule evaluate :args ((not true))) % 33.88/34.70 (step @p261 :rule eq-refl :args (tptp.nil)) % 33.88/34.70 (step @p262 :rule cong :premises (@p261) :args (@t223)) % 33.88/34.70 (step @p263 :rule trans :premises (@p262 @p260)) % 33.88/34.70 (step @p264 :rule nary_cong :premises (@p263 @p259 @p258) :args (@t224)) % 33.88/34.70 (step @p265 :rule trans :premises (@p264 @p257)) % 33.88/34.70 (step @p266 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t63 @t48 @t62)) @t224))) % 33.88/34.70 (step @p267 :rule refl :args (@t62)) % 33.88/34.70 (step @p268 :rule refl :args (@t48)) % 33.88/34.70 (step @p269 :rule refl :args (@t63)) % 33.88/34.70 (step @p270 :rule eq-symm :args (tptp.nil @t2)) % 33.88/34.70 (step @p271 :rule cong :premises (@p270) :args (@t63)) % 33.88/34.70 (step @p272 :rule nary_cong :premises (@p271 @p269 @p268 @p267) :args (@t225)) % 33.88/34.70 (step @p273 :rule aci_norm :args ((= @t64 @t225))) % 33.88/34.70 (step @p274 :rule trans :premises (@p273 @p272)) % 33.88/34.70 (step @p275 :rule cong :premises (@p274) :args (@t65)) % 33.88/34.70 (step @p276 :rule trans :premises (@p275 @p266)) % 33.88/34.70 (step @p277 :rule trans :premises (@p276 @p265)) % 33.88/34.70 (step @p278 :rule eq_resolve :premises (@p77 @p277)) % 33.88/34.70 (step @p279 :rule chain_m_resolution :premises (@p278 @p8) :args (@t221 @t226 (@list @t1))) % 33.88/34.70 (step @p280 :rule cnf_or_pos :args (@t233)) % 33.88/34.70 (step @p281 :rule factoring :premises (@p280)) % 33.88/34.70 (step @p282 :rule reordering :premises (@p281) :args ((or @t222 @t232 @t231 (not @t233)))) % 33.88/34.70 (step @p283 :rule chain_m_resolution :premises (@p282 @p8 @p279 @p256) :args (@t231 @t234 (@list @t1 @t221 @t233))) % 33.88/34.70 (step @p284 :rule eq-symm :args (@t120 @t2)) % 33.88/34.70 (step @p285 :rule refl :args (@t118)) % 33.88/34.70 (step @p286 :rule nary_cong 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cong :premises (@p496) :args (@t84)) % 33.88/34.70 (step @p498 :rule eq_resolve :premises (@p98 @p497)) % 33.88/34.70 (step @p499 :rule instantiate :premises (@p498) :args ((@list tptp.nil tptp.sk3))) % 33.88/34.70 (step @p500 :rule cnf_or_pos :args (@t291)) % 33.88/34.70 (step @p501 :rule reordering :premises (@p500) :args ((or @t170 @t222 @t218 @t290 (not @t291)))) % 33.88/34.70 (step @p502 :rule instantiate :premises (@p169) :args ((@list @t252 tptp.sk3 @t293 @t292))) % 33.88/34.70 (step @p503 :rule instantiate :premises (@p51) :args (@t294)) % 33.88/34.70 (step @p504 :rule instantiate :premises (@p53) :args (@t295)) % 33.88/34.70 (step @p505 :rule cnf_or_pos :args (@t304)) % 33.88/34.70 (step @p506 :rule reordering :premises (@p505) :args ((or @t218 @t302 @t298 @t300 @t303 @t297 (not @t304)))) % 33.88/34.70 (step @p507 :rule bool-double-not-elim :args (@t247)) % 33.88/34.70 (step @p508 :rule refl :args (@t305)) % 33.88/34.70 (step @p509 :rule refl :args (@t245)) % 33.88/34.70 (step @p510 :rule nary_cong :premises (@p509 @p508 @p507) :args ((or @t245 @t305 (not @t248)))) % 33.88/34.70 (assume-push @p693 @t174) % 33.88/34.70 (assume-push @p694 @t168) % 33.88/34.70 (assume-push @p695 @t248) % 33.88/34.70 (step @p514 :rule evaluate :args ((= false true))) % 33.88/34.70 (step @p515 :rule true_intro :premises (@p693)) % 33.88/34.70 (step @p463 :rule refl :args (tptp.sk5)) % 33.88/34.70 (step @p516 :rule cong :premises (@p694 @p463) :args (@t247)) % 33.88/34.70 (step @p517 :rule false_intro :premises (@p695)) % 33.88/34.70 (step @p518 :rule symm :premises (@p517)) % 33.88/34.70 (step @p519 :rule trans :premises (@p518 @p516 @p515)) % 33.88/34.70 (step @p520 false :rule eq_resolve :premises (@p519 @p514)) % 33.88/34.70 (step-pop @p696 :rule scope :premises (@p520)) % 33.88/34.70 (step-pop @p697 :rule scope :premises (@p696)) % 33.88/34.70 (step-pop @p698 :rule scope :premises (@p697)) % 33.88/34.70 (step @p521 :rule process_scope :premises (@p698) :args (false)) % 33.88/34.70 (assume-push @p699 @t168) % 33.88/34.70 (assume-push @p700 @t174) % 33.88/34.70 (assume-push @p701 @t248) % 33.88/34.70 (step @p528 :rule and_intro :premises (@p700 @p699 @p701)) % 33.88/34.70 (step-pop @p702 :rule scope :premises (@p528)) % 33.88/34.70 (step-pop @p703 :rule scope :premises (@p702)) % 33.88/34.70 (step-pop @p704 :rule scope :premises (@p703)) % 33.88/34.70 (step @p529 :rule process_scope :premises (@p704) :args (@t306)) % 33.88/34.70 (step @p533 :rule implies_elim :premises (@p529)) % 33.88/34.70 (step @p534 :rule resolution :premises (@p533 @p521) :args (true @t306)) % 33.88/34.70 (step @p535 :rule not_and :premises (@p534)) % 33.88/34.70 (step @p536 :rule eq_resolve :premises (@p535 @p510)) % 33.88/34.70 (step @p537 :rule eq-symm :args (@t146 @t2)) % 33.88/34.70 (step @p538 :rule refl :args (@t85)) % 33.88/34.70 (step @p539 :rule refl :args (@t134)) % 33.88/34.70 (step @p540 :rule nary_cong :premises (@p539 @p538 @p250 @p537) :args (@t147)) % 33.88/34.70 (step @p541 :rule cong :premises (@p540) :args (@t148)) % 33.88/34.70 (step @p542 :rule eq_resolve :premises (@p166 @p541)) % 33.88/34.70 (step @p543 :rule instantiate :premises (@p542) :args (@t295)) % 33.88/34.70 (step @p544 :rule cnf_or_pos :args (@t308)) % 33.88/34.70 (step @p545 :rule reordering :premises (@p544) :args ((or @t211 @t246 @t305 @t307 (not @t308)))) % 33.88/34.70 (step @p546 :rule cong :premises (@p210 @p187) :args (@t183)) % 33.88/34.70 (step @p547 :rule nary_cong :premises (@p546 @p225) :args (@t309)) % 33.88/34.70 (step @p548 :rule quant-miniscope-or :args ((= (forall @t180 @t310) @t309))) % 33.88/34.70 (step @p549 :rule aci_norm :args ((= @t190 @t310))) % 33.88/34.70 (step @p550 :rule cong :premises (@p549) :args (@t191)) % 33.88/34.70 (step @p551 :rule trans :premises (@p550 @p548)) % 33.88/34.70 (step @p552 :rule trans :premises (@p551 @p547)) % 33.88/34.70 (step @p553 :rule eq_resolve :premises (@p198 @p552)) % 33.88/34.70 (assume-push @p705 @t204) % 33.88/34.70 (step @p555 :rule instantiate :premises (@p705) :args (@t216)) % 33.88/34.70 (step-pop @p706 :rule scope :premises (@p555)) % 33.88/34.70 (step @p556 :rule process_scope :premises (@p706) :args (@t314)) % 33.88/34.70 (step @p558 :rule implies_elim :premises (@p556)) % 33.88/34.70 (step @p559 :rule cnf_or_pos :args (@t314)) % 33.88/34.70 (step @p560 :rule reordering :premises (@p559) :args ((or @t218 @t313 @t312 @t285 (not @t314)))) % 33.88/34.70 (step @p561 :rule instantiate :premises (@p406) :args (@t205)) % 33.88/34.70 (step @p562 :rule cnf_or_pos :args (@t317)) % 33.88/34.70 (step @p563 :rule reordering :premises (@p562) :args ((or @t211 @t316 (not @t317)))) % 33.88/34.70 (step @p564 :rule chain_m_resolution :premises (@p563 @p186 @p561) :args (@t316 @t214 (@list @t167 @t317))) % 33.88/34.70 (step @p565 :rule eq-symm :args (@t293 tptp.nil)) % 33.88/34.70 (step @p566 :rule refl :args (@t211)) % 33.88/34.70 (step @p567 :rule refl :args (@t302)) % 33.88/34.70 (step @p568 :rule eq-symm :args (@t318 @t315)) % 33.88/34.70 (step @p569 :rule cong :premises (@p568) :args (@t319)) % 33.88/34.70 (step @p570 :rule nary_cong :premises (@p569 @p567 @p566 @p259 @p565) :args (@t320)) % 33.88/34.70 (step @p571 :rule refl :args (@t140)) % 33.88/34.70 (step @p572 :rule cong :premises (@p571 @p570) :args ((=> @t140 @t320))) % 33.88/34.70 (assume-push @p707 @t140) % 33.88/34.70 (step @p574 :rule instantiate :premises (@p147) :args ((@list tptp.sk4 @t293 tptp.nil))) % 33.88/34.70 (step-pop @p708 :rule scope :premises (@p574)) % 33.88/34.70 (step @p575 :rule process_scope :premises (@p708) :args (@t320)) % 33.88/34.70 (step @p577 :rule eq_resolve :premises (@p575 @p572)) % 33.88/34.70 (step @p578 :rule implies_elim :premises (@p577)) % 33.88/34.70 (step @p579 :rule chain_m_resolution :premises (@p578 @p147) :args (@t324 @t226 (@list @t140))) % 33.88/34.70 (step @p580 :rule instantiate :premises (@p288) :args (@t294)) % 33.88/34.70 (step @p581 :rule instantiate :premises (@p61) :args (@t205)) % 33.88/34.70 (step @p582 :rule cnf_or_pos :args (@t326)) % 33.88/34.70 (step @p583 :rule reordering :premises (@p582) :args ((or @t211 @t325 (not @t326)))) % 33.88/34.70 (step @p584 :rule chain_m_resolution :premises (@p583 @p186 @p581) :args (@t325 @t214 (@list @t167 @t326))) % 33.88/34.70 (step @p585 :rule cnf_or_pos :args (@t329)) % 33.88/34.70 (step @p586 :rule factoring :premises (@p585)) % 33.88/34.70 (step @p587 :rule reordering :premises (@p586) :args ((or @t211 @t328 @t327 (not @t329)))) % 33.88/34.70 (step @p588 :rule chain_m_resolution :premises (@p587 @p186 @p584 @p580) :args (@t327 @t234 (@list @t167 @t325 @t329))) % 33.88/34.70 (step @p589 :rule symm :premises (@p564)) % 33.88/34.70 (step @p590 :rule trans :premises (@p589 @p588)) % 33.88/34.70 (step @p591 :rule cnf_or_pos :args (@t324)) % 33.88/34.70 (step @p592 :rule reordering :premises (@p591) :args ((or @t222 @t211 @t302 @t323 @t321 (not @t324)))) % 33.88/34.70 (step @p593 :rule chain_m_resolution :premises (@p592 @p8 @p186 @p503 @p590 @p579) :args (@t321 @t287 (@list @t1 @t167 @t301 @t322 @t324))) % 33.88/34.70 (assume-push @p709 @t316) % 33.88/34.70 (assume-push @p710 @t307) % 33.88/34.70 (assume-push @p711 @t321) % 33.88/34.70 (assume-push @p712 @t297) % 33.88/34.70 (assume-push @p713 @t297) % 33.88/34.70 (assume-push @p714 @t307) % 33.88/34.70 (assume-push @p715 @t321) % 33.88/34.70 (assume-push @p716 @t316) % 33.88/34.70 (step @p602 :rule true_intro :premises (@p712)) % 33.88/34.70 (step @p457 :rule refl :args (tptp.sk3)) % 33.88/34.70 (step @p603 :rule cong :premises (@p710 @p593) :args (@t315)) % 33.88/34.70 (step @p604 :rule trans :premises (@p564 @p603)) % 33.88/34.70 (step @p605 :rule cong :premises (@p604 @p457) :args (@t311)) % 33.88/34.70 (step @p606 :rule trans :premises (@p605 @p602)) % 33.88/34.70 (step @p607 :rule true_elim :premises (@p606)) % 33.88/34.70 (step-pop @p717 :rule scope :premises (@p607)) % 33.88/34.70 (step-pop @p718 :rule scope :premises (@p717)) % 33.88/34.70 (step-pop @p719 :rule scope :premises (@p718)) % 33.88/34.70 (step-pop @p720 :rule scope :premises (@p719)) % 33.88/34.70 (step @p608 :rule process_scope :premises (@p720) :args (@t311)) % 33.88/34.70 (step @p613 :rule and_intro :premises (@p712 @p710 @p593 @p564)) % 33.88/34.70 (step @p614 :rule modus_ponens :premises (@p613 @p608)) % 33.88/34.70 (step-pop @p721 :rule scope :premises (@p614)) % 33.88/34.70 (step-pop @p722 :rule scope :premises (@p721)) % 33.88/34.70 (step-pop @p723 :rule scope :premises (@p722)) % 33.88/34.70 (step-pop @p724 :rule scope :premises (@p723)) % 33.88/34.70 (step @p615 :rule process_scope :premises (@p724) :args (@t311)) % 33.88/34.70 (step @p620 :rule implies_elim :premises (@p615)) % 33.88/34.70 (step @p621 :rule cnf_and_neg :args (@t330)) % 33.88/34.70 (step @p622 :rule resolution :premises (@p621 @p620) :args (true @t330)) % 33.88/34.70 (step @p623 :rule reordering :premises (@p622) :args ((or @t311 (not @t316) (not @t307) (not @t321) (not @t297)))) % 33.88/34.70 (step @p624 :rule chain_m_resolution :premises (@p623 @p593 @p564 @p560 @p439 @p185 @p558 @p553 @p545 @p543 @p186 @p536 @p506 @p504 @p503 @p502 @p185 @p501 @p499 @p185 @p8 @p493 @p492 @p443 @p434 @p418 @p410 @p402 @p377 @p8 @p375 @p370 @p365 @p363 @p358 @p353 @p351 @p52 @p346 @p84 @p341 @p339 @p71) :args ((or @t246 @t266) (@list false false true false false false false false false false true false false false false false false false false false false false false false false false true true false false false false false false false false false false false true false false) (@list @t321 @t316 @t311 @t282 @t166 @t314 @t204 @t307 @t308 @t167 @t168 @t297 @t299 @t301 @t304 @t166 @t290 @t291 @t166 @t1 @t174 @t288 @t284 @t277 @t271 @t268 @t170 @t263 @t1 @t265 @t262 @t260 @t261 @t258 @t253 @t254 @t45 @t256 @t71 @t247 @t249 @t50))) % 33.88/34.70 (step @p625 :rule chain_m_resolution :premises (@p624 @p334) :args (@t246 @t226 (@list @t197))) % 33.88/34.70 (step @p626 :rule chain_m_resolution :premises (@p190 @p625) :args (@t170 @t331 @t332)) % 33.88/34.70 (step @p627 :rule chain_m_resolution :premises (@p233 @p626) :args (@t204 @t226 @t333)) % 33.88/34.70 (step @p628 :rule chain_m_resolution :premises (@p189 @p625) :args (@t168 @t331 @t332)) % 33.88/34.70 (step @p629 :rule chain_m_resolution :premises (@p333 @p628 @p248 @p296 @p283) :args (@t206 @t241 (@list @t168 @t217 @t238 @t231))) % 33.88/34.70 (step @p630 :rule chain_m_resolution :premises (@p216 @p626) :args (@t199 @t226 @t333)) % 33.88/34.70 (step @p631 :rule chain_m_resolution :premises (@p244 @p186 @p630 @p242 @p629) :args (@t215 @t241 (@list @t167 @t199 @t208 @t206))) % 33.88/34.70 (step @p632 false :rule chain_m_resolution :premises (@p238 @p631 @p627) :args (false (@list true false) (@list @t212 @t204))) % 33.88/34.70 ) % 33.88/34.70 % SZS output end Proof % 33.88/34.70 % cvc5 exiting %------------------------------------------------------------------------------