%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC421-1 : 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 : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:59:16 AM UTC 2026 % Result : Unsatisfiable 33.11s 33.39s % Output : Proof 33.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC421-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:46:50 EDT 2026 % 0.16/0.34 % 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... % 0.36/15.82 --- Run --no-e-matching --full-saturate-quant at 6... % 21.61/21.87 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.71/27.92 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.11/33.39 % SZS status Unsatisfiable % 33.11/33.39 % SZS output start Proof % 33.21/33.41 ( % 33.21/33.41 (declare-sort $$unsorted 0) % 33.21/33.41 (declare-const tptp.sk4 $$unsorted) % 33.21/33.41 (declare-const tptp.sk2 $$unsorted) % 33.21/33.41 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.nil $$unsorted) % 33.21/33.41 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.sk1 $$unsorted) % 33.21/33.41 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.skac2 $$unsorted) % 33.21/33.41 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.sk3 $$unsorted) % 33.21/33.41 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.ssList (-> $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skac3 $$unsorted) % 33.21/33.41 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 33.21/33.41 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 33.21/33.41 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 33.21/33.41 (define @t1 () (tptp.ssList tptp.nil)) % 33.21/33.41 (define @t2 () (@var "U" $$unsorted)) % 33.21/33.41 (define @t3 () (tptp.skaf83 @t2)) % 33.21/33.41 (define @t4 () (@list @t2)) % 33.21/33.41 (define @t5 () (tptp.skaf82 @t2)) % 33.21/33.41 (define @t6 () (tptp.skaf81 @t2)) % 33.21/33.41 (define @t7 () (tptp.skaf80 @t2)) % 33.21/33.41 (define @t8 () (tptp.skaf79 @t2)) % 33.21/33.41 (define @t9 () (tptp.skaf78 @t2)) % 33.21/33.41 (define @t10 () (tptp.skaf77 @t2)) % 33.21/33.41 (define @t11 () (tptp.skaf76 @t2)) % 33.21/33.41 (define @t12 () (tptp.skaf75 @t2)) % 33.21/33.41 (define @t13 () (tptp.skaf74 @t2)) % 33.21/33.41 (define @t14 () (tptp.skaf73 @t2)) % 33.21/33.41 (define @t15 () (tptp.skaf72 @t2)) % 33.21/33.41 (define @t16 () (tptp.skaf71 @t2)) % 33.21/33.41 (define @t17 () (tptp.skaf70 @t2)) % 33.21/33.41 (define @t18 () (tptp.skaf69 @t2)) % 33.21/33.41 (define @t19 () (tptp.skaf68 @t2)) % 33.21/33.41 (define @t20 () (tptp.skaf67 @t2)) % 33.21/33.41 (define @t21 () (tptp.skaf66 @t2)) % 33.21/33.41 (define @t22 () (tptp.skaf65 @t2)) % 33.21/33.41 (define @t23 () (tptp.skaf64 @t2)) % 33.21/33.41 (define @t24 () (tptp.skaf63 @t2)) % 33.21/33.41 (define @t25 () (tptp.skaf62 @t2)) % 33.21/33.41 (define @t26 () (tptp.skaf61 @t2)) % 33.21/33.41 (define @t27 () (tptp.skaf60 @t2)) % 33.21/33.41 (define @t28 () (tptp.skaf59 @t2)) % 33.21/33.41 (define @t29 () (tptp.skaf58 @t2)) % 33.21/33.41 (define @t30 () (tptp.skaf57 @t2)) % 33.21/33.41 (define @t31 () (tptp.skaf56 @t2)) % 33.21/33.41 (define @t32 () (tptp.skaf55 @t2)) % 33.21/33.41 (define @t33 () (tptp.skaf54 @t2)) % 33.21/33.41 (define @t34 () (tptp.skaf53 @t2)) % 33.21/33.41 (define @t35 () (tptp.skaf52 @t2)) % 33.21/33.41 (define @t36 () (tptp.skaf51 @t2)) % 33.21/33.41 (define @t37 () (tptp.skaf50 @t2)) % 33.21/33.41 (define @t38 () (tptp.skaf49 @t2)) % 33.21/33.41 (define @t39 () (tptp.skaf44 @t2)) % 33.21/33.41 (define @t40 () (@var "V" $$unsorted)) % 33.21/33.41 (define @t41 () (@list @t2 @t40)) % 33.21/33.41 (define @t42 () (tptp.skaf47 @t2 @t40)) % 33.21/33.41 (define @t43 () (tptp.skaf46 @t2 @t40)) % 33.21/33.41 (define @t44 () (tptp.skaf45 @t2 @t40)) % 33.21/33.41 (define @t45 () (tptp.skaf42 @t2 @t40)) % 33.21/33.41 (define @t46 () (not (tptp.ssItem @t2))) % 33.21/33.41 (define @t47 () (not (tptp.ssList @t2))) % 33.21/33.41 (define @t48 () (tptp.cons @t2 tptp.nil)) % 33.21/33.41 (define @t49 () (tptp.ssItem @t40)) % 33.21/33.41 (define @t50 () (tptp.duplicatefreeP @t2)) % 33.21/33.41 (define @t51 () (tptp.app @t2 tptp.nil)) % 33.21/33.41 (define @t52 () (or @t47 (= @t51 @t2))) % 33.21/33.41 (define @t53 () (forall @t4 @t52)) % 33.21/33.41 (define @t54 () (tptp.app tptp.nil @t2)) % 33.21/33.41 (define @t55 () (or @t47 (= @t54 @t2))) % 33.21/33.41 (define @t56 () (forall @t4 @t55)) % 33.21/33.41 (define @t57 () (= tptp.nil @t2)) % 33.21/33.41 (define @t58 () (tptp.tl @t2)) % 33.21/33.41 (define @t59 () (tptp.hd @t2)) % 33.21/33.41 (define @t60 () (tptp.segmentP tptp.nil @t2)) % 33.21/33.41 (define @t61 () (not @t57)) % 33.21/33.41 (define @t62 () (tptp.rearsegP tptp.nil @t2)) % 33.21/33.41 (define @t63 () (tptp.frontsegP tptp.nil @t2)) % 33.21/33.41 (define @t64 () (tptp.app @t40 @t2)) % 33.21/33.41 (define @t65 () (not (tptp.ssList @t40))) % 33.21/33.41 (define @t66 () (tptp.cons @t2 @t40)) % 33.21/33.41 (define @t67 () (tptp.cyclefreeP @t2)) % 33.21/33.41 (define @t68 () (tptp.equalelemsP @t2)) % 33.21/33.41 (define @t69 () (tptp.strictorderedP @t2)) % 33.21/33.41 (define @t70 () (tptp.totalorderedP @t2)) % 33.21/33.41 (define @t71 () (tptp.strictorderP @t2)) % 33.21/33.41 (define @t72 () (tptp.totalorderP @t2)) % 33.21/33.41 (define @t73 () (= @t40 @t2)) % 33.21/33.41 (define @t74 () (tptp.neq @t40 @t2)) % 33.21/33.41 (define @t75 () (or @t47 @t65 @t74 @t73)) % 33.21/33.41 (define @t76 () (forall @t41 @t75)) % 33.21/33.41 (define @t77 () (not @t49)) % 33.21/33.41 (define @t78 () (tptp.leq @t2 @t40)) % 33.21/33.41 (define @t79 () (tptp.lt @t2 @t40)) % 33.21/33.41 (define @t80 () (not @t79)) % 33.21/33.41 (define @t81 () (tptp.cons @t59 @t58)) % 33.21/33.41 (define @t82 () (or @t47 (= @t81 @t2) @t57)) % 33.21/33.41 (define @t83 () (forall @t4 @t82)) % 33.21/33.41 (define @t84 () (tptp.lt @t40 @t2)) % 33.21/33.41 (define @t85 () (not (tptp.gt @t2 @t40))) % 33.21/33.41 (define @t86 () (tptp.gt @t40 @t2)) % 33.21/33.41 (define @t87 () (tptp.leq @t40 @t2)) % 33.21/33.41 (define @t88 () (not (tptp.geq @t2 @t40))) % 33.21/33.41 (define @t89 () (tptp.geq @t40 @t2)) % 33.21/33.41 (define @t90 () (not @t78)) % 33.21/33.41 (define @t91 () (= @t2 @t40)) % 33.21/33.41 (define @t92 () (not @t91)) % 33.21/33.41 (define @t93 () (tptp.cons @t40 @t2)) % 33.21/33.41 (define @t94 () (not (tptp.neq @t2 @t40))) % 33.21/33.41 (define @t95 () (or @t92 @t94 @t65 @t47)) % 33.21/33.41 (define @t96 () (forall @t41 @t95)) % 33.21/33.41 (define @t97 () (tptp.app @t2 @t40)) % 33.21/33.41 (define @t98 () (= @t97 tptp.nil)) % 33.21/33.41 (define @t99 () (not @t98)) % 33.21/33.41 (define @t100 () (= tptp.nil @t40)) % 33.21/33.41 (define @t101 () (tptp.hd @t40)) % 33.21/33.41 (define @t102 () (tptp.strictorderedP @t40)) % 33.21/33.41 (define @t103 () (tptp.strictorderedP @t66)) % 33.21/33.41 (define @t104 () (not @t103)) % 33.21/33.41 (define @t105 () (tptp.totalorderedP @t40)) % 33.21/33.41 (define @t106 () (tptp.totalorderedP @t66)) % 33.21/33.41 (define @t107 () (not @t106)) % 33.21/33.41 (define @t108 () (not (tptp.segmentP @t2 @t40))) % 33.21/33.41 (define @t109 () (not (tptp.rearsegP @t2 @t40))) % 33.21/33.41 (define @t110 () (not (tptp.frontsegP @t2 @t40))) % 33.21/33.41 (define @t111 () (not @t87)) % 33.21/33.41 (define @t112 () (tptp.tl @t40)) % 33.21/33.41 (define @t113 () (tptp.lt @t2 @t101)) % 33.21/33.41 (define @t114 () (tptp.leq @t2 @t101)) % 33.21/33.41 (define @t115 () (@var "W" $$unsorted)) % 33.21/33.41 (define @t116 () (tptp.app @t115 @t2)) % 33.21/33.41 (define @t117 () (not (tptp.ssList @t115))) % 33.21/33.41 (define @t118 () (@list @t2 @t40 @t115)) % 33.21/33.41 (define @t119 () (tptp.app @t2 @t115)) % 33.21/33.41 (define @t120 () (tptp.cons @t40 @t115)) % 33.21/33.41 (define @t121 () (tptp.cons @t115 @t2)) % 33.21/33.41 (define @t122 () (not (tptp.ssItem @t115))) % 33.21/33.41 (define @t123 () (not (tptp.memberP @t2 @t40))) % 33.21/33.41 (define @t124 () (not (= @t97 @t115))) % 33.21/33.41 (define @t125 () (tptp.lt @t2 @t115)) % 33.21/33.41 (define @t126 () (not (tptp.lt @t40 @t115))) % 33.21/33.41 (define @t127 () (tptp.app @t115 @t40)) % 33.21/33.41 (define @t128 () (= @t40 @t115)) % 33.21/33.41 (define @t129 () (= @t2 @t115)) % 33.21/33.41 (define @t130 () (tptp.memberP @t40 @t115)) % 33.21/33.41 (define @t131 () (@var "X" $$unsorted)) % 33.21/33.41 (define @t132 () (not (tptp.ssList @t131))) % 33.21/33.41 (define @t133 () (tptp.cons @t115 @t131)) % 33.21/33.41 (define @t134 () (not (= @t66 @t133))) % 33.21/33.41 (define @t135 () (@list @t2 @t40 @t115 @t131)) % 33.21/33.41 (define @t136 () (not (tptp.frontsegP @t66 @t133))) % 33.21/33.41 (define @t137 () (tptp.app @t2 @t120)) % 33.21/33.41 (define @t138 () (not (tptp.ssItem @t131))) % 33.21/33.41 (define @t139 () (@var "Y" $$unsorted)) % 33.21/33.41 (define @t140 () (not (tptp.ssList @t139))) % 33.21/33.41 (define @t141 () (@list @t2 @t40 @t115 @t131 @t139)) % 33.21/33.41 (define @t142 () (tptp.lt @t40 @t131)) % 33.21/33.41 (define @t143 () (@var "Z" $$unsorted)) % 33.21/33.41 (define @t144 () (not (tptp.ssList @t143))) % 33.21/33.41 (define @t145 () (not (= (tptp.app @t137 (tptp.cons @t131 @t139)) @t143))) % 33.21/33.41 (define @t146 () (@list @t2 @t40 @t115 @t131 @t139 @t143)) % 33.21/33.41 (define @t147 () (tptp.leq @t40 @t131)) % 33.21/33.41 (define @t148 () (tptp.ssList tptp.sk3)) % 33.21/33.41 (define @t149 () (tptp.ssList tptp.sk4)) % 33.21/33.41 (define @t150 () (tptp.neq tptp.sk2 tptp.nil)) % 33.21/33.41 (define @t151 () (@var "B" $$unsorted)) % 33.21/33.41 (define @t152 () (@var "A" $$unsorted)) % 33.21/33.41 (define @t153 () (tptp.cons @t152 tptp.nil)) % 33.21/33.41 (define @t154 () (@var "C" $$unsorted)) % 33.21/33.41 (define @t155 () (tptp.app (tptp.app @t154 @t153) @t151)) % 33.21/33.41 (define @t156 () (not (= @t155 tptp.sk1))) % 33.21/33.41 (define @t157 () (tptp.app (tptp.app @t151 @t153) @t154)) % 33.21/33.41 (define @t158 () (not (= @t157 tptp.sk2))) % 33.21/33.41 (define @t159 () (not (tptp.ssList @t154))) % 33.21/33.41 (define @t160 () (not (tptp.ssList @t151))) % 33.21/33.41 (define @t161 () (not (tptp.ssItem @t152))) % 33.21/33.41 (define @t162 () (or @t161 @t160 @t159 @t158 @t156)) % 33.21/33.41 (define @t163 () (@list @t152 @t151 @t154)) % 33.21/33.41 (define @t164 () (forall @t163 @t162)) % 33.21/33.41 (define @t165 () (= tptp.nil tptp.sk3)) % 33.21/33.41 (define @t166 () (tptp.neq tptp.sk3 tptp.nil)) % 33.21/33.41 (define @t167 () (tptp.neq tptp.sk4 tptp.nil)) % 33.21/33.41 (define @t168 () (not @t167)) % 33.21/33.41 (define @t169 () (tptp.neq tptp.nil tptp.sk3)) % 33.21/33.41 (define @t170 () (not @t169)) % 33.21/33.41 (define @t171 () (@var "D" $$unsorted)) % 33.21/33.41 (define @t172 () (tptp.hd tptp.sk3)) % 33.21/33.41 (define @t173 () (not (= @t172 @t171))) % 33.21/33.41 (define @t174 () (tptp.cons @t171 tptp.nil)) % 33.21/33.41 (define @t175 () (not (= @t174 @t154))) % 33.21/33.41 (define @t176 () (not (tptp.ssItem @t171))) % 33.21/33.41 (define @t177 () (tptp.app @t151 @t154)) % 33.21/33.41 (define @t178 () (not (= @t177 @t152))) % 33.21/33.41 (define @t179 () (tptp.tl tptp.sk3)) % 33.21/33.41 (define @t180 () (not (= @t179 @t151))) % 33.21/33.41 (define @t181 () (= tptp.sk4 @t152)) % 33.21/33.41 (define @t182 () (not (tptp.ssList @t152))) % 33.21/33.41 (define @t183 () (or @t168 @t182 @t181 @t160 @t159 @t180 @t178 @t176 @t175 @t173 @t170 @t170)) % 33.21/33.41 (define @t184 () (@list @t152 @t151 @t154 @t171)) % 33.21/33.41 (define @t185 () (forall @t184 @t183)) % 33.21/33.41 (define @t186 () (@list tptp.sk3)) % 33.21/33.41 (define @t187 () (not (tptp.neq @t40 @t40))) % 33.21/33.41 (define @t188 () (not (= @t40 @t40))) % 33.21/33.41 (define @t189 () (or @t188 @t187 @t65 @t65)) % 33.21/33.41 (define @t190 () (@list @t40)) % 33.21/33.41 (define @t191 () (or @t92 @t92 @t94 @t65 @t47)) % 33.21/33.41 (define @t192 () (forall @t4 @t95)) % 33.21/33.41 (define @t193 () (forall @t190 @t192)) % 33.21/33.41 (define @t194 () (forall (@list @t40 @t2) @t95)) % 33.21/33.41 (define @t195 () (not @t148)) % 33.21/33.41 (define @t196 () (tptp.neq tptp.sk3 tptp.sk3)) % 33.21/33.41 (define @t197 () (not @t196)) % 33.21/33.41 (define @t198 () (or @t197 @t195)) % 33.21/33.41 (define @t199 () (@list false false)) % 33.21/33.41 (define @t200 () (@list false)) % 33.21/33.41 (define @t201 () (not @t166)) % 33.21/33.41 (define @t202 () (not @t165)) % 33.21/33.41 (define @t203 () (= false true)) % 33.21/33.41 (define @t204 () (and @t166 @t165 @t197)) % 33.21/33.41 (define @t205 () (tptp.ssItem @t172)) % 33.21/33.41 (define @t206 () (or @t195 @t205 @t165)) % 33.21/33.41 (define @t207 () (@list true false false)) % 33.21/33.41 (define @t208 () (tptp.cons @t172 tptp.nil)) % 33.21/33.41 (define @t209 () (tptp.ssList @t208)) % 33.21/33.41 (define @t210 () (not @t1)) % 33.21/33.41 (define @t211 () (not @t205)) % 33.21/33.41 (define @t212 () (or @t211 @t210 @t209)) % 33.21/33.41 (define @t213 () (@list false false false)) % 33.21/33.41 (define @t214 () (tptp.ssList @t179)) % 33.21/33.41 (define @t215 () (or @t195 @t214 @t165)) % 33.21/33.41 (define @t216 () (tptp.app @t179 @t208)) % 33.21/33.41 (define @t217 () (tptp.ssList @t216)) % 33.21/33.41 (define @t218 () (not @t214)) % 33.21/33.41 (define @t219 () (not @t209)) % 33.21/33.41 (define @t220 () (or @t219 @t218 @t217)) % 33.21/33.41 (define @t221 () (or @t195 @t210 @t169 (= tptp.sk3 tptp.nil))) % 33.21/33.41 (define @t222 () (forall @t41 (or @t47 @t65 @t74 @t91))) % 33.21/33.41 (define @t223 () (or @t195 @t210 @t169 @t165)) % 33.21/33.41 (define @t224 () (= tptp.sk4 @t216)) % 33.21/33.41 (define @t225 () (not @t217)) % 33.21/33.41 (define @t226 () (or @t218 @t225 @t224 @t219 @t211)) % 33.21/33.41 (define @t227 () (or @t225 @t224 @t219 @t211)) % 33.21/33.41 (define @t228 () (not (= @t172 @t172))) % 33.21/33.41 (define @t229 () (or @t225 @t224 @t219 @t211 @t228)) % 33.21/33.41 (define @t230 () (not (= @t171 @t172))) % 33.21/33.41 (define @t231 () (not (tptp.ssList @t174))) % 33.21/33.41 (define @t232 () (tptp.app @t179 @t174)) % 33.21/33.41 (define @t233 () (= tptp.sk4 @t232)) % 33.21/33.41 (define @t234 () (not (tptp.ssList @t232))) % 33.21/33.41 (define @t235 () (or @t230 @t234 @t233 @t231 @t176 @t230)) % 33.21/33.41 (define @t236 () (@list @t171)) % 33.21/33.41 (define @t237 () (or @t234 @t233 @t231 @t176 @t230)) % 33.21/33.41 (define @t238 () (not (= @t174 @t174))) % 33.21/33.41 (define @t239 () (or @t234 @t233 @t231 @t176 @t238 @t230)) % 33.21/33.41 (define @t240 () (not (= @t154 @t174))) % 33.21/33.41 (define @t241 () (tptp.app @t179 @t154)) % 33.21/33.41 (define @t242 () (= tptp.sk4 @t241)) % 33.21/33.41 (define @t243 () (not (tptp.ssList @t241))) % 33.21/33.41 (define @t244 () (or @t240 @t243 @t242 @t159 @t176 @t240 @t230)) % 33.21/33.41 (define @t245 () (@list @t154)) % 33.21/33.41 (define @t246 () (or @t243 @t242 @t159 @t176 @t240 @t230)) % 33.21/33.41 (define @t247 () (forall @t245 @t246)) % 33.21/33.41 (define @t248 () (forall @t236 @t247)) % 33.21/33.41 (define @t249 () (forall (@list @t171 @t154) @t246)) % 33.21/33.41 (define @t250 () (@list @t154 @t171)) % 33.21/33.41 (define @t251 () (not (= @t241 @t241))) % 33.21/33.41 (define @t252 () (or @t243 @t242 @t159 @t251 @t176 @t240 @t230)) % 33.21/33.41 (define @t253 () (not (= @t152 @t241))) % 33.21/33.41 (define @t254 () (or @t253 @t182 @t181 @t159 @t253 @t176 @t240 @t230)) % 33.21/33.41 (define @t255 () (@list @t152)) % 33.21/33.41 (define @t256 () (or @t182 @t181 @t159 @t253 @t176 @t240 @t230)) % 33.21/33.41 (define @t257 () (forall @t255 @t256)) % 33.21/33.41 (define @t258 () (forall @t250 @t257)) % 33.21/33.41 (define @t259 () (forall (@list @t154 @t171 @t152) @t256)) % 33.21/33.41 (define @t260 () (@list @t152 @t154 @t171)) % 33.21/33.41 (define @t261 () (forall @t260 @t256)) % 33.21/33.41 (define @t262 () (or @t218 @t261)) % 33.21/33.41 (define @t263 () (or @t218 @t256)) % 33.21/33.41 (define @t264 () (or @t182 @t181 @t218 @t159 @t253 @t176 @t240 @t230)) % 33.21/33.41 (define @t265 () (not (= @t179 @t179))) % 33.21/33.41 (define @t266 () (or @t182 @t181 @t218 @t265 @t159 @t253 @t176 @t240 @t230)) % 33.21/33.41 (define @t267 () (not (= @t152 @t177))) % 33.21/33.41 (define @t268 () (not (= @t151 @t179))) % 33.21/33.41 (define @t269 () (or @t268 @t182 @t181 @t160 @t268 @t159 @t267 @t176 @t240 @t230)) % 33.21/33.41 (define @t270 () (@list @t151)) % 33.21/33.41 (define @t271 () (or @t182 @t181 @t160 @t268 @t159 @t267 @t176 @t240 @t230)) % 33.21/33.41 (define @t272 () (forall @t270 @t271)) % 33.21/33.41 (define @t273 () (forall @t260 @t272)) % 33.21/33.41 (define @t274 () (forall (@list @t152 @t154 @t171 @t151) @t271)) % 33.21/33.41 (define @t275 () (forall @t184 @t271)) % 33.21/33.41 (define @t276 () (or @t168 @t170 @t275)) % 33.21/33.41 (define @t277 () (or @t168 @t170 @t271)) % 33.21/33.41 (define @t278 () (or @t168 @t182 @t181 @t160 @t159 @t268 @t267 @t176 @t240 @t230 @t170)) % 33.21/33.41 (define @t279 () (or @t168 @t182 @t181 @t160 @t159 @t268 @t267 @t176 @t240 @t230 @t170 @t170)) % 33.21/33.41 (define @t280 () (= tptp.sk1 @t155)) % 33.21/33.41 (define @t281 () (not @t280)) % 33.21/33.41 (define @t282 () (= tptp.sk2 @t157)) % 33.21/33.41 (define @t283 () (not @t282)) % 33.21/33.41 (define @t284 () (or @t161 @t160 @t159 @t283 @t281)) % 33.21/33.41 (define @t285 () (tptp.app @t208 @t179)) % 33.21/33.41 (define @t286 () (tptp.app (tptp.app tptp.nil @t208) @t179)) % 33.21/33.41 (define @t287 () (= @t286 (tptp.app tptp.nil @t285))) % 33.21/33.41 (define @t288 () (or @t218 @t219 @t210 @t287)) % 33.21/33.41 (define @t289 () (@list false false false false)) % 33.21/33.41 (define @t290 () (tptp.app tptp.nil @t179)) % 33.21/33.41 (define @t291 () (= (tptp.cons @t172 @t290) @t285)) % 33.21/33.41 (define @t292 () (or @t211 @t210 @t218 @t291)) % 33.21/33.41 (define @t293 () (= @t179 @t290)) % 33.21/33.41 (define @t294 () (or @t218 @t293)) % 33.21/33.41 (define @t295 () (tptp.app tptp.nil tptp.sk3)) % 33.21/33.41 (define @t296 () (= tptp.sk3 @t295)) % 33.21/33.41 (define @t297 () (or @t195 @t296)) % 33.21/33.41 (define @t298 () (tptp.cons @t172 @t179)) % 33.21/33.41 (define @t299 () (= tptp.sk3 @t298)) % 33.21/33.41 (define @t300 () (or @t195 @t299 @t165)) % 33.21/33.41 (define @t301 () (= tptp.sk3 @t286)) % 33.21/33.41 (define @t302 () (and @t299 @t296 @t293 @t291 @t287)) % 33.21/33.41 (define @t303 () (@list false false false false false)) % 33.21/33.41 (define @t304 () (not @t301)) % 33.21/33.41 (define @t305 () (= tptp.sk4 (tptp.app @t216 tptp.nil))) % 33.21/33.41 (define @t306 () (not @t305)) % 33.21/33.41 (define @t307 () (or @t211 @t218 @t210 @t306 @t304)) % 33.21/33.41 (define @t308 () (tptp.app tptp.sk4 tptp.nil)) % 33.21/33.41 (define @t309 () (= tptp.sk4 @t308)) % 33.21/33.41 (define @t310 () (not @t149)) % 33.21/33.41 (define @t311 () (or @t310 @t309)) % 33.21/33.41 (define @t312 () (not @t309)) % 33.21/33.41 (define @t313 () (not @t224)) % 33.21/33.41 (define @t314 () (and @t312 @t309)) % 33.21/33.41 (assume @p1 (tptp.equalelemsP tptp.nil)) % 33.21/33.41 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 33.21/33.41 (assume @p3 (tptp.strictorderedP tptp.nil)) % 33.21/33.41 (assume @p4 (tptp.totalorderedP tptp.nil)) % 33.21/33.41 (assume @p5 (tptp.strictorderP tptp.nil)) % 33.21/33.41 (assume @p6 (tptp.totalorderP tptp.nil)) % 33.21/33.41 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 33.21/33.41 (assume @p8 @t1) % 33.21/33.41 (assume @p9 (tptp.ssItem tptp.skac3)) % 33.21/33.41 (assume @p10 (tptp.ssItem tptp.skac2)) % 33.21/33.41 (assume @p11 (not (tptp.singletonP tptp.nil))) % 33.21/33.41 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 33.21/33.41 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 33.21/33.41 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 33.21/33.41 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 33.21/33.41 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 33.21/33.41 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 33.21/33.41 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 33.21/33.41 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 33.21/33.41 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 33.21/33.41 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 33.21/33.41 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 33.21/33.41 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 33.21/33.41 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 33.21/33.41 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 33.21/33.41 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 33.21/33.41 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 33.21/33.41 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 33.21/33.41 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 33.21/33.41 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 33.21/33.41 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 33.21/33.41 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 33.21/33.41 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 33.21/33.41 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 33.21/33.41 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 33.21/33.41 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 33.21/33.41 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 33.21/33.41 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 33.21/33.41 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 33.21/33.41 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 33.21/33.41 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 33.21/33.41 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 33.21/33.41 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 33.21/33.41 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 33.21/33.41 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 33.21/33.41 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 33.21/33.41 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 33.21/33.41 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 33.21/33.41 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 33.21/33.41 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 33.21/33.41 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 33.21/33.41 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 33.21/33.41 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 33.21/33.41 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 33.21/33.41 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 33.21/33.41 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 33.21/33.41 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 33.21/33.41 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 33.21/33.41 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 33.21/33.41 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 33.21/33.41 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 33.21/33.41 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 33.21/33.41 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 33.21/33.41 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 33.21/33.41 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 33.21/33.41 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 33.21/33.41 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 33.21/33.41 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 33.21/33.41 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 33.21/33.41 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 33.21/33.41 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 33.21/33.41 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 33.21/33.41 (assume @p73 @t53) % 33.21/33.41 (assume @p74 @t56) % 33.21/33.41 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t58) @t57))) % 33.21/33.41 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t59) @t57))) % 33.21/33.41 (assume @p77 (forall @t4 (or @t61 @t47 @t60))) % 33.21/33.41 (assume @p78 (forall @t4 (or (not @t60) @t47 @t57))) % 33.21/33.41 (assume @p79 (forall @t4 (or @t61 @t47 @t62))) % 33.21/33.41 (assume @p80 (forall @t4 (or (not @t62) @t47 @t57))) % 33.21/33.41 (assume @p81 (forall @t4 (or @t61 @t47 @t63))) % 33.21/33.41 (assume @p82 (forall @t4 (or (not @t63) @t47 @t57))) % 33.21/33.41 (assume @p83 (forall @t41 (or @t47 @t65 (tptp.ssList @t64)))) % 33.21/33.41 (assume @p84 (forall @t41 (or @t46 @t65 (tptp.ssList @t66)))) % 33.21/33.41 (assume @p85 (forall @t4 (or @t47 @t67 (tptp.leq @t37 @t38)))) % 33.21/33.41 (assume @p86 (forall @t4 (or @t47 @t67 (tptp.leq @t38 @t37)))) % 33.21/33.41 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t68))) % 33.21/33.41 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t69))) % 33.21/33.41 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t70))) % 33.21/33.41 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t71))) % 33.21/33.41 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t71))) % 33.21/33.41 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t72))) % 33.21/33.41 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t72))) % 33.21/33.41 (assume @p94 (forall @t41 (or @t46 @t65 (= (tptp.tl @t66) @t40)))) % 33.21/33.41 (assume @p95 (forall @t41 (or @t46 @t65 (= (tptp.hd @t66) @t2)))) % 33.21/33.41 (assume @p96 (forall @t41 (or (not (= @t66 tptp.nil)) @t46 @t65))) % 33.21/33.41 (assume @p97 (forall @t41 (or (not (= @t66 @t40)) @t46 @t65))) % 33.21/33.41 (assume @p98 @t76) % 33.21/33.41 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 33.21/33.41 (assume @p100 (forall @t41 (or @t46 @t77 @t74 @t73))) % 33.21/33.41 (assume @p101 (forall @t41 (or @t80 @t77 @t46 @t78))) % 33.21/33.41 (assume @p102 @t83) % 33.21/33.41 (assume @p103 (forall @t41 (or @t85 @t77 @t46 @t84))) % 33.21/33.41 (assume @p104 (forall @t41 (or @t80 @t46 @t77 @t86))) % 33.21/33.41 (assume @p105 (forall @t41 (or @t88 @t77 @t46 @t87))) % 33.21/33.41 (assume @p106 (forall @t41 (or @t90 @t46 @t77 @t89))) % 33.21/33.41 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t57))) % 33.21/33.41 (assume @p108 (forall @t41 (or @t85 (not @t86) @t46 @t77))) % 33.21/33.41 (assume @p109 (forall @t41 (or @t92 @t80 @t77 @t46))) % 33.21/33.41 (assume @p110 (forall @t41 (or @t61 @t47 @t77 (tptp.strictorderedP @t93)))) % 33.21/33.41 (assume @p111 (forall @t41 (or @t61 @t47 @t77 (tptp.totalorderedP @t93)))) % 33.21/33.41 (assume @p112 (forall @t41 (or @t80 (not @t84) @t46 @t77))) % 33.21/33.41 (assume @p113 @t96) % 33.21/33.41 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t65 (tptp.singletonP @t40)))) % 33.21/33.41 (assume @p115 (forall @t41 (or @t92 @t94 @t77 @t46))) % 33.21/33.41 (assume @p116 (forall @t41 (or @t99 @t65 @t47 @t57))) % 33.21/33.41 (assume @p117 (forall @t41 (or @t99 @t65 @t47 @t100))) % 33.21/33.41 (assume @p118 (forall @t41 (or @t46 @t65 (= (tptp.app @t48 @t40) @t66)))) % 33.21/33.41 (assume @p119 (forall @t41 (or @t90 @t77 @t46 @t79 @t91))) % 33.21/33.41 (assume @p120 (forall @t41 (or @t47 @t65 @t100 (= (tptp.hd @t64) @t101)))) % 33.21/33.41 (assume @p121 (forall @t41 (or @t104 @t65 @t46 @t102 @t100))) % 33.21/33.41 (assume @p122 (forall @t41 (or @t107 @t65 @t46 @t105 @t100))) % 33.21/33.41 (assume @p123 (forall @t41 (or @t88 (not @t89) @t46 @t77 @t73))) % 33.21/33.41 (assume @p124 (forall @t41 (or @t108 (not (tptp.segmentP @t40 @t2)) @t47 @t65 @t73))) % 33.21/33.41 (assume @p125 (forall @t41 (or @t109 (not (tptp.rearsegP @t40 @t2)) @t47 @t65 @t73))) % 33.21/33.41 (assume @p126 (forall @t41 (or @t110 (not (tptp.frontsegP @t40 @t2)) @t47 @t65 @t73))) % 33.21/33.41 (assume @p127 (forall @t41 (or @t90 @t111 @t46 @t77 @t73))) % 33.21/33.41 (assume @p128 (forall @t41 (or @t109 @t65 @t47 (= (tptp.app @t43 @t40) @t2)))) % 33.21/33.41 (assume @p129 (forall @t41 (or @t110 @t65 @t47 (= (tptp.app @t40 @t44) @t2)))) % 33.21/33.41 (assume @p130 (forall @t41 (or @t47 @t65 @t100 (= (tptp.tl @t64) (tptp.app @t112 @t2))))) % 33.21/33.41 (assume @p131 (forall @t41 (or @t104 @t65 @t46 @t113 @t100))) % 33.21/33.41 (assume @p132 (forall @t41 (or @t107 @t65 @t46 @t114 @t100))) % 33.21/33.41 (assume @p133 (forall @t118 (or @t109 @t117 @t65 @t47 (tptp.rearsegP @t116 @t40)))) % 33.21/33.41 (assume @p134 (forall @t118 (or @t110 @t117 @t65 @t47 (tptp.frontsegP @t119 @t40)))) % 33.21/33.41 (assume @p135 (forall @t118 (or @t92 @t117 @t77 @t46 (tptp.memberP @t120 @t2)))) % 33.21/33.41 (assume @p136 (forall @t118 (or @t123 @t47 @t122 @t77 (tptp.memberP @t121 @t40)))) % 33.21/33.41 (assume @p137 (forall @t118 (or @t123 @t117 @t47 @t77 (tptp.memberP @t119 @t40)))) % 33.21/33.41 (assume @p138 (forall @t118 (or @t123 @t47 @t117 @t77 (tptp.memberP @t116 @t40)))) % 33.21/33.41 (assume @p139 (forall @t4 (or @t47 @t68 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 33.21/33.41 (assume @p140 (forall @t118 (or @t124 @t47 @t65 @t117 (tptp.rearsegP @t115 @t40)))) % 33.21/33.41 (assume @p141 (forall @t118 (or @t124 @t65 @t47 @t117 (tptp.frontsegP @t115 @t2)))) % 33.21/33.41 (assume @p142 (forall @t41 (or @t61 (not @t100) @t65 @t47 @t98))) % 33.21/33.41 (assume @p143 (forall @t118 (or @t85 (not (tptp.gt @t40 @t115)) @t122 @t77 @t46 (tptp.gt @t2 @t115)))) % 33.21/33.41 (assume @p144 (forall @t118 (or @t90 @t126 @t122 @t77 @t46 @t125))) % 33.21/33.41 (assume @p145 (forall @t118 (or @t88 (not (tptp.geq @t40 @t115)) @t122 @t77 @t46 (tptp.geq @t2 @t115)))) % 33.21/33.41 (assume @p146 (forall @t118 (or @t47 @t65 @t117 (= (tptp.app @t127 @t2) (tptp.app @t115 @t64))))) % 33.21/33.41 (assume @p147 (forall @t118 (or (not (= @t97 @t119)) @t65 @t47 @t117 @t128))) % 33.21/33.41 (assume @p148 (forall @t118 (or (not (= @t97 @t127)) @t47 @t65 @t117 @t129))) % 33.21/33.41 (assume @p149 (forall @t118 (or @t108 (not (tptp.segmentP @t40 @t115)) @t117 @t65 @t47 (tptp.segmentP @t2 @t115)))) % 33.21/33.41 (assume @p150 (forall @t118 (or @t109 (not (tptp.rearsegP @t40 @t115)) @t117 @t65 @t47 (tptp.rearsegP @t2 @t115)))) % 33.21/33.41 (assume @p151 (forall @t118 (or @t110 (not (tptp.frontsegP @t40 @t115)) @t117 @t65 @t47 (tptp.frontsegP @t2 @t115)))) % 33.21/33.41 (assume @p152 (forall @t118 (or @t80 @t126 @t122 @t77 @t46 @t125))) % 33.21/33.41 (assume @p153 (forall @t118 (or @t90 (not (tptp.leq @t40 @t115)) @t122 @t77 @t46 (tptp.leq @t2 @t115)))) % 33.21/33.41 (assume @p154 (forall @t118 (or @t46 @t65 @t117 (= (tptp.cons @t2 (tptp.app @t40 @t115)) (tptp.app @t66 @t115))))) % 33.21/33.41 (assume @p155 (forall @t118 (or (not (tptp.memberP @t97 @t115)) @t65 @t47 @t122 @t130 (tptp.memberP @t2 @t115)))) % 33.21/33.41 (assume @p156 (forall @t41 (or (not @t114) (not @t105) @t65 @t46 @t106 @t100))) % 33.21/33.41 (assume @p157 (forall @t41 (or (not @t113) (not @t102) @t65 @t46 @t103 @t100))) % 33.21/33.41 (assume @p158 (forall @t118 (or (not (tptp.memberP @t66 @t115)) @t65 @t46 @t122 @t130 (= @t115 @t2)))) % 33.21/33.41 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 33.21/33.41 (assume @p160 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 33.21/33.41 (assume @p161 (forall @t4 (or @t47 @t70 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 33.21/33.41 (assume @p162 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 33.21/33.41 (assume @p163 (forall @t4 (or @t47 @t72 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 33.21/33.41 (assume @p164 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 33.21/33.41 (assume @p165 (forall @t41 (or @t108 @t65 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 33.21/33.41 (assume @p166 (forall @t41 (or @t123 @t77 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 33.21/33.41 (assume @p167 (forall @t135 (or @t134 @t122 @t46 @t132 @t65 @t129))) % 33.21/33.41 (assume @p168 (forall @t135 (or @t134 @t122 @t46 @t132 @t65 (= @t131 @t40)))) % 33.21/33.41 (assume @p169 (forall @t135 (or @t108 @t117 @t132 @t65 @t47 (tptp.segmentP (tptp.app (tptp.app @t131 @t2) @t115) @t40)))) % 33.21/33.41 (assume @p170 (forall @t135 (or (not (= (tptp.app @t97 @t115) @t131)) @t117 @t47 @t65 @t132 (tptp.segmentP @t131 @t40)))) % 33.21/33.41 (assume @p171 (forall @t135 (or @t136 @t132 @t65 @t122 @t46 (tptp.frontsegP @t40 @t131)))) % 33.21/33.41 (assume @p172 (forall @t135 (or (not (= @t137 @t131)) @t117 @t47 @t77 @t132 (tptp.memberP @t131 @t40)))) % 33.21/33.41 (assume @p173 (forall @t135 (or @t136 @t132 @t65 @t122 @t46 @t129))) % 33.21/33.41 (assume @p174 (forall @t41 (or (not (= @t58 @t112)) (not (= @t59 @t101)) @t47 @t65 @t100 @t91 @t57))) % 33.21/33.41 (assume @p175 (forall @t135 (or @t110 (not (= @t115 @t131)) @t65 @t47 @t138 @t122 (tptp.frontsegP @t121 (tptp.cons @t131 @t40))))) % 33.21/33.41 (assume @p176 (forall @t141 (or (not (= (tptp.app @t137 (tptp.cons @t40 @t131)) @t139)) @t132 @t117 @t47 @t77 (not (tptp.duplicatefreeP @t139)) @t140))) % 33.21/33.41 (assume @p177 (forall @t141 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t133)) @t139)) @t132 @t47 @t122 @t77 (not (tptp.equalelemsP @t139)) @t140 @t128))) % 33.21/33.41 (assume @p178 (forall @t146 (or @t145 @t140 @t117 @t47 @t138 @t77 (not (tptp.strictorderedP @t143)) @t144 @t142))) % 33.21/33.41 (assume @p179 (forall @t146 (or @t145 @t140 @t117 @t47 @t138 @t77 (not (tptp.totalorderedP @t143)) @t144 @t147))) % 33.21/33.41 (assume @p180 (forall @t146 (or @t145 @t140 @t117 @t47 @t138 @t77 (not (tptp.strictorderP @t143)) @t144 @t142 (tptp.lt @t131 @t40)))) % 33.21/33.41 (assume @p181 (forall @t146 (or @t145 @t140 @t117 @t47 @t138 @t77 (not (tptp.totalorderP @t143)) @t144 @t147 (tptp.leq @t131 @t40)))) % 33.21/33.41 (assume @p182 (forall @t146 (or @t90 @t111 (not (= (tptp.app (tptp.app @t115 (tptp.cons @t2 @t131)) (tptp.cons @t40 @t139)) @t143)) @t140 @t132 @t117 @t77 @t46 (not (tptp.cyclefreeP @t143)) @t144))) % 33.21/33.41 (assume @p183 (tptp.ssList tptp.sk1)) % 33.21/33.41 (assume @p184 (tptp.ssList tptp.sk2)) % 33.21/33.41 (assume @p185 @t148) % 33.21/33.41 (assume @p186 @t149) % 33.21/33.41 (assume @p187 (= tptp.sk2 tptp.sk4)) % 33.21/33.41 (assume @p188 (= tptp.sk1 tptp.sk3)) % 33.21/33.41 (assume @p189 @t150) % 33.21/33.41 (assume @p190 @t164) % 33.21/33.41 (assume @p191 (or @t165 (not (= tptp.nil tptp.sk4)))) % 33.21/33.41 (assume @p192 (or @t168 @t166)) % 33.21/33.41 (assume @p193 @t185) % 33.21/33.41 (step @p194 :rule instantiate :premises (@p76) :args (@t186)) % 33.21/33.41 (step @p195 :rule aci_norm :args ((= (or false @t187 @t65 @t65) (or @t187 @t65)))) % 33.21/33.41 (step @p196 :rule refl :args (@t65)) % 33.21/33.41 (step @p197 :rule refl :args (@t187)) % 33.21/33.41 (step @p198 :rule evaluate :args ((not true))) % 33.21/33.41 (step @p199 :rule eq-refl :args (@t40)) % 33.21/33.41 (step @p200 :rule cong :premises (@p199) :args (@t188)) % 33.21/33.41 (step @p201 :rule trans :premises (@p200 @p198)) % 33.21/33.41 (step @p202 :rule nary_cong :premises (@p201 @p197 @p196 @p196) :args (@t189)) % 33.21/33.41 (step @p203 :rule trans :premises (@p202 @p195)) % 33.21/33.41 (step @p204 :rule cong :premises (@p203) :args ((forall @t190 @t189))) % 33.21/33.41 (step @p205 :rule quant-var-elim-eq :args ((= (forall @t4 @t191) @t189))) % 33.21/33.41 (step @p206 :rule aci_norm :args ((= @t95 @t191))) % 33.21/33.41 (step @p207 :rule cong :premises (@p206) :args (@t192)) % 33.21/33.41 (step @p208 :rule trans :premises (@p207 @p205)) % 33.21/33.41 (step @p209 :rule cong :premises (@p208) :args (@t193)) % 33.21/33.41 (step @p210 :rule quant-merge-prenex :args ((= @t193 @t194))) % 33.21/33.41 (step @p211 :rule symm :premises (@p210)) % 33.21/33.41 (step @p212 :rule quant_var_reordering :args ((= @t96 @t194))) % 33.21/33.41 (step @p213 :rule trans :premises (@p212 @p211 @p209)) % 33.21/33.41 (step @p214 :rule trans :premises (@p213 @p204)) % 33.21/33.41 (step @p215 :rule eq_resolve :premises (@p113 @p214)) % 33.21/33.41 (step @p216 :rule instantiate :premises (@p215) :args (@t186)) % 33.21/33.41 (step @p217 :rule cnf_or_pos :args (@t198)) % 33.21/33.41 (step @p218 :rule reordering :premises (@p217) :args ((or @t195 @t197 (not @t198)))) % 33.21/33.41 (step @p219 :rule chain_m_resolution :premises (@p218 @p185 @p216) :args (@t197 @t199 (@list @t148 @t198))) % 33.21/33.41 (step @p220 :rule refl :args (tptp.nil)) % 33.21/33.41 (step @p221 :rule cong :premises (@p187 @p220) :args (@t150)) % 33.21/33.41 (step @p222 :rule eq_resolve :premises (@p189 @p221)) % 33.21/33.41 (step @p223 :rule chain_m_resolution :premises (@p192 @p222) :args (@t166 @t200 (@list @t167))) % 33.21/33.41 (step @p224 :rule bool-double-not-elim :args (@t196)) % 33.21/33.41 (step @p225 :rule refl :args (@t201)) % 33.21/33.41 (step @p226 :rule refl :args (@t202)) % 33.21/33.41 (step @p227 :rule nary_cong :premises (@p226 @p225 @p224) :args ((or @t202 @t201 (not @t197)))) % 33.21/33.41 (assume-push @p544 @t166) % 33.21/33.41 (assume-push @p545 @t165) % 33.21/33.41 (assume-push @p546 @t197) % 33.21/33.41 (step @p231 :rule evaluate :args (@t203)) % 33.21/33.41 (step @p232 :rule true_intro :premises (@p223)) % 33.21/33.41 (step @p233 :rule symm :premises (@p545)) % 33.21/33.41 (step @p234 :rule refl :args (tptp.sk3)) % 33.21/33.41 (step @p235 :rule cong :premises (@p234 @p233) :args (@t196)) % 33.21/33.41 (step @p236 :rule false_intro :premises (@p219)) % 33.21/33.41 (step @p237 :rule symm :premises (@p236)) % 33.21/33.41 (step @p238 :rule trans :premises (@p237 @p235 @p232)) % 33.21/33.41 (step @p239 false :rule eq_resolve :premises (@p238 @p231)) % 33.21/33.41 (step-pop @p547 :rule scope :premises (@p239)) % 33.21/33.41 (step-pop @p548 :rule scope :premises (@p547)) % 33.21/33.41 (step-pop @p549 :rule scope :premises (@p548)) % 33.21/33.41 (step @p240 :rule process_scope :premises (@p549) :args (false)) % 33.21/33.41 (assume-push @p550 @t165) % 33.21/33.41 (assume-push @p551 @t166) % 33.21/33.41 (assume-push @p552 @t197) % 33.21/33.41 (step @p247 :rule and_intro :premises (@p223 @p550 @p219)) % 33.21/33.41 (step-pop @p553 :rule scope :premises (@p247)) % 33.21/33.41 (step-pop @p554 :rule scope :premises (@p553)) % 33.21/33.41 (step-pop @p555 :rule scope :premises (@p554)) % 33.21/33.41 (step @p248 :rule process_scope :premises (@p555) :args (@t204)) % 33.21/33.41 (step @p252 :rule implies_elim :premises (@p248)) % 33.21/33.41 (step @p253 :rule resolution :premises (@p252 @p240) :args (true @t204)) % 33.21/33.41 (step @p254 :rule not_and :premises (@p253)) % 33.21/33.41 (step @p255 :rule eq_resolve :premises (@p254 @p227)) % 33.21/33.41 (step @p256 :rule chain_m_resolution :premises (@p255 @p223 @p219) :args (@t202 (@list false true) (@list @t166 @t196))) % 33.21/33.41 (step @p257 :rule cnf_or_pos :args (@t206)) % 33.21/33.41 (step @p258 :rule reordering :premises (@p257) :args ((or @t165 @t205 @t195 (not @t206)))) % 33.21/33.41 (step @p259 :rule chain_m_resolution :premises (@p258 @p256 @p185 @p194) :args (@t205 @t207 (@list @t165 @t148 @t206))) % 33.21/33.41 (step @p260 :rule instantiate :premises (@p84) :args ((@list @t172 tptp.nil))) % 33.21/33.41 (step @p261 :rule cnf_or_pos :args (@t212)) % 33.21/33.41 (step @p262 :rule reordering :premises (@p261) :args ((or @t210 @t209 @t211 (not @t212)))) % 33.21/33.41 (step @p263 :rule chain_m_resolution :premises (@p262 @p8 @p259 @p260) :args (@t209 @t213 (@list @t1 @t205 @t212))) % 33.21/33.41 (step @p264 :rule instantiate :premises (@p83) :args ((@list @t208 @t179))) % 33.21/33.41 (step @p265 :rule instantiate :premises (@p75) :args (@t186)) % 33.21/33.41 (step @p266 :rule cnf_or_pos :args (@t215)) % 33.21/33.41 (step @p267 :rule reordering :premises (@p266) :args ((or @t165 @t214 @t195 (not @t215)))) % 33.21/33.41 (step @p268 :rule chain_m_resolution :premises (@p267 @p256 @p185 @p265) :args (@t214 @t207 (@list @t165 @t148 @t215))) % 33.21/33.41 (step @p269 :rule cnf_or_pos :args (@t220)) % 33.21/33.41 (step @p270 :rule reordering :premises (@p269) :args ((or @t218 @t217 @t219 (not @t220)))) % 33.21/33.41 (step @p271 :rule chain_m_resolution :premises (@p270 @p268 @p263 @p264) :args (@t217 @t213 (@list @t214 @t209 @t220))) % 33.21/33.41 (step @p272 :rule eq-symm :args (@t40 @t2)) % 33.21/33.41 (step @p273 :rule refl :args (@t74)) % 33.21/33.41 (step @p274 :rule refl :args (@t47)) % 33.21/33.41 (step @p275 :rule nary_cong :premises (@p274 @p196 @p273 @p272) :args (@t75)) % 33.21/33.41 (step @p276 :rule cong :premises (@p275) :args (@t76)) % 33.21/33.41 (step @p277 :rule eq_resolve :premises (@p98 @p276)) % 33.21/33.41 (step @p278 :rule eq-symm :args (tptp.sk3 tptp.nil)) % 33.21/33.41 (step @p279 :rule refl :args (@t169)) % 33.21/33.41 (step @p280 :rule refl :args (@t210)) % 33.21/33.41 (step @p281 :rule refl :args (@t195)) % 33.21/33.41 (step @p282 :rule nary_cong :premises (@p281 @p280 @p279 @p278) :args (@t221)) % 33.21/33.41 (step @p283 :rule refl :args (@t222)) % 33.21/33.41 (step @p284 :rule cong :premises (@p283 @p282) :args ((=> @t222 @t221))) % 33.21/33.41 (assume-push @p556 @t222) % 33.21/33.41 (step @p286 :rule instantiate :premises (@p277) :args ((@list tptp.sk3 tptp.nil))) % 33.21/33.41 (step-pop @p557 :rule scope :premises (@p286)) % 33.21/33.41 (step @p287 :rule process_scope :premises (@p557) :args (@t221)) % 33.21/33.41 (step @p289 :rule eq_resolve :premises (@p287 @p284)) % 33.21/33.41 (step @p290 :rule implies_elim :premises (@p289)) % 33.21/33.41 (step @p291 :rule chain_m_resolution :premises (@p290 @p277) :args (@t223 @t200 (@list @t222))) % 33.21/33.41 (step @p292 :rule cnf_or_pos :args (@t223)) % 33.21/33.41 (step @p293 :rule reordering :premises (@p292) :args ((or @t165 @t169 @t210 @t195 (not @t223)))) % 33.21/33.41 (step @p294 :rule chain_m_resolution :premises (@p293 @p256 @p8 @p185 @p291) :args (@t169 (@list true false false false) (@list @t165 @t1 @t148 @t223))) % 33.21/33.41 (step @p295 :rule aci_norm :args ((= (or @t168 @t170 @t226) (or @t168 @t170 @t218 @t225 @t224 @t219 @t211)))) % 33.21/33.41 (step @p296 :rule aci_norm :args ((= (or @t218 @t227) @t226))) % 33.21/33.41 (step @p297 :rule aci_norm :args ((= (or @t225 @t224 @t219 @t211 false) @t227))) % 33.21/33.41 (step @p298 :rule eq-refl :args (@t172)) % 33.21/33.41 (step @p299 :rule cong :premises (@p298) :args (@t228)) % 33.21/33.41 (step @p300 :rule trans :premises (@p299 @p198)) % 33.21/33.41 (step @p301 :rule refl :args (@t211)) % 33.21/33.41 (step @p302 :rule refl :args (@t219)) % 33.21/33.41 (step @p303 :rule refl :args (@t224)) % 33.21/33.41 (step @p304 :rule refl :args (@t225)) % 33.21/33.41 (step @p305 :rule nary_cong :premises (@p304 @p303 @p302 @p301 @p300) :args (@t229)) % 33.21/33.41 (step @p306 :rule trans :premises (@p305 @p297)) % 33.21/33.41 (step @p307 :rule quant-var-elim-eq :args ((= (forall @t236 @t235) @t229))) % 33.21/33.41 (step @p308 :rule aci_norm :args ((= @t237 @t235))) % 33.21/33.41 (step @p309 :rule cong :premises (@p308) :args ((forall @t236 @t237))) % 33.21/33.41 (step @p310 :rule trans :premises (@p309 @p307)) % 33.21/33.41 (step @p311 :rule trans :premises (@p310 @p306)) % 33.21/33.41 (step @p312 :rule aci_norm :args ((= (or @t234 @t233 @t231 @t176 false @t230) @t237))) % 33.21/33.41 (step @p313 :rule refl :args (@t230)) % 33.21/33.41 (step @p314 :rule eq-refl :args (@t174)) % 33.21/33.41 (step @p315 :rule cong :premises (@p314) :args (@t238)) % 33.21/33.41 (step @p316 :rule trans :premises (@p315 @p198)) % 33.21/33.41 (step @p317 :rule refl :args (@t176)) % 33.21/33.41 (step @p318 :rule refl :args (@t231)) % 33.21/33.41 (step @p319 :rule refl :args (@t233)) % 33.21/33.41 (step @p320 :rule refl :args (@t234)) % 33.21/33.41 (step @p321 :rule nary_cong :premises (@p320 @p319 @p318 @p317 @p316 @p313) :args (@t239)) % 33.21/33.41 (step @p322 :rule trans :premises (@p321 @p312)) % 33.21/33.41 (step @p323 :rule cong :premises (@p322) :args ((forall @t236 @t239))) % 33.21/33.41 (step @p324 :rule trans :premises (@p323 @p311)) % 33.21/33.41 (step @p325 :rule quant-var-elim-eq :args ((= (forall @t245 @t244) @t239))) % 33.21/33.41 (step @p326 :rule aci_norm :args ((= @t246 @t244))) % 33.21/33.41 (step @p327 :rule cong :premises (@p326) :args (@t247)) % 33.21/33.41 (step @p328 :rule trans :premises (@p327 @p325)) % 33.21/33.41 (step @p329 :rule cong :premises (@p328) :args (@t248)) % 33.21/33.41 (step @p330 :rule quant-merge-prenex :args ((= @t248 @t249))) % 33.21/33.41 (step @p331 :rule symm :premises (@p330)) % 33.21/33.41 (step @p332 :rule quant_var_reordering :args ((= (forall @t250 @t246) @t249))) % 33.21/33.41 (step @p333 :rule trans :premises (@p332 @p331 @p329)) % 33.21/33.41 (step @p334 :rule trans :premises (@p333 @p324)) % 33.21/33.41 (step @p335 :rule aci_norm :args ((= (or @t243 @t242 @t159 false @t176 @t240 @t230) @t246))) % 33.21/33.41 (step @p336 :rule refl :args (@t240)) % 33.21/33.41 (step @p337 :rule eq-refl :args (@t241)) % 33.21/33.41 (step @p338 :rule cong :premises (@p337) :args (@t251)) % 33.21/33.41 (step @p339 :rule trans :premises (@p338 @p198)) % 33.21/33.41 (step @p340 :rule refl :args (@t159)) % 33.21/33.41 (step @p341 :rule refl :args (@t242)) % 33.21/33.41 (step @p342 :rule refl :args (@t243)) % 33.21/33.41 (step @p343 :rule nary_cong :premises (@p342 @p341 @p340 @p339 @p317 @p336 @p313) :args (@t252)) % 33.21/33.41 (step @p344 :rule trans :premises (@p343 @p335)) % 33.21/33.41 (step @p345 :rule cong :premises (@p344) :args ((forall @t250 @t252))) % 33.21/33.41 (step @p346 :rule trans :premises (@p345 @p334)) % 33.21/33.41 (step @p347 :rule quant-var-elim-eq :args ((= (forall @t255 @t254) @t252))) % 33.21/33.41 (step @p348 :rule aci_norm :args ((= @t256 @t254))) % 33.21/33.41 (step @p349 :rule cong :premises (@p348) :args (@t257)) % 33.21/33.41 (step @p350 :rule trans :premises (@p349 @p347)) % 33.21/33.41 (step @p351 :rule cong :premises (@p350) :args (@t258)) % 33.21/33.41 (step @p352 :rule quant-merge-prenex :args ((= @t258 @t259))) % 33.21/33.41 (step @p353 :rule symm :premises (@p352)) % 33.21/33.41 (step @p354 :rule quant_var_reordering :args ((= @t261 @t259))) % 33.21/33.41 (step @p355 :rule trans :premises (@p354 @p353 @p351)) % 33.21/33.41 (step @p356 :rule trans :premises (@p355 @p346)) % 33.21/33.41 (step @p357 :rule refl :args (@t218)) % 33.21/33.41 (step @p358 :rule nary_cong :premises (@p357 @p356) :args (@t262)) % 33.21/33.41 (step @p359 :rule trans :premises (@p358 @p296)) % 33.21/33.41 (step @p360 :rule quant-miniscope-or :args ((= (forall @t260 @t263) @t262))) % 33.21/33.41 (step @p361 :rule aci_norm :args ((= @t264 @t263))) % 33.21/33.41 (step @p362 :rule cong :premises (@p361) :args ((forall @t260 @t264))) % 33.21/33.41 (step @p363 :rule trans :premises (@p362 @p360)) % 33.21/33.41 (step @p364 :rule trans :premises (@p363 @p359)) % 33.21/33.41 (step @p365 :rule aci_norm :args ((= (or @t182 @t181 @t218 false @t159 @t253 @t176 @t240 @t230) @t264))) % 33.21/33.41 (step @p366 :rule refl :args (@t253)) % 33.21/33.41 (step @p367 :rule eq-refl :args (@t179)) % 33.21/33.41 (step @p368 :rule cong :premises (@p367) :args (@t265)) % 33.21/33.41 (step @p369 :rule trans :premises (@p368 @p198)) % 33.21/33.41 (step @p370 :rule refl :args (@t181)) % 33.21/33.41 (step @p371 :rule refl :args (@t182)) % 33.21/33.41 (step @p372 :rule nary_cong :premises (@p371 @p370 @p357 @p369 @p340 @p366 @p317 @p336 @p313) :args (@t266)) % 33.21/33.41 (step @p373 :rule trans :premises (@p372 @p365)) % 33.21/33.41 (step @p374 :rule cong :premises (@p373) :args ((forall @t260 @t266))) % 33.21/33.41 (step @p375 :rule trans :premises (@p374 @p364)) % 33.21/33.41 (step @p376 :rule quant-var-elim-eq :args ((= (forall @t270 @t269) @t266))) % 33.21/33.41 (step @p377 :rule aci_norm :args ((= @t271 @t269))) % 33.21/33.41 (step @p378 :rule cong :premises (@p377) :args (@t272)) % 33.21/33.41 (step @p379 :rule trans :premises (@p378 @p376)) % 33.21/33.41 (step @p380 :rule cong :premises (@p379) :args (@t273)) % 33.21/33.41 (step @p381 :rule quant-merge-prenex :args ((= @t273 @t274))) % 33.21/33.41 (step @p382 :rule symm :premises (@p381)) % 33.21/33.41 (step @p383 :rule quant_var_reordering :args ((= @t275 @t274))) % 33.21/33.41 (step @p384 :rule trans :premises (@p383 @p382 @p380)) % 33.21/33.41 (step @p385 :rule trans :premises (@p384 @p375)) % 33.21/33.41 (step @p386 :rule refl :args (@t170)) % 33.21/33.41 (step @p387 :rule refl :args (@t168)) % 33.21/33.41 (step @p388 :rule nary_cong :premises (@p387 @p386 @p385) :args (@t276)) % 33.21/33.41 (step @p389 :rule trans :premises (@p388 @p295)) % 33.21/33.41 (step @p390 :rule quant-miniscope-or :args ((= (forall @t184 @t277) @t276))) % 33.21/33.41 (step @p391 :rule aci_norm :args ((= @t278 @t277))) % 33.21/33.41 (step @p392 :rule cong :premises (@p391) :args ((forall @t184 @t278))) % 33.21/33.41 (step @p393 :rule trans :premises (@p392 @p390)) % 33.21/33.41 (step @p394 :rule trans :premises (@p393 @p389)) % 33.21/33.41 (step @p395 :rule aci_norm :args ((= @t279 @t278))) % 33.21/33.41 (step @p396 :rule cong :premises (@p395) :args ((forall @t184 @t279))) % 33.21/33.41 (step @p397 :rule trans :premises (@p396 @p394)) % 33.21/33.41 (step @p398 :rule eq-symm :args (@t172 @t171)) % 33.21/33.41 (step @p399 :rule cong :premises (@p398) :args (@t173)) % 33.21/33.41 (step @p400 :rule eq-symm :args (@t174 @t154)) % 33.21/33.41 (step @p401 :rule cong :premises (@p400) :args (@t175)) % 33.21/33.41 (step @p402 :rule eq-symm :args (@t177 @t152)) % 33.21/33.41 (step @p403 :rule cong :premises (@p402) :args (@t178)) % 33.21/33.41 (step @p404 :rule eq-symm :args (@t179 @t151)) % 33.21/33.41 (step @p405 :rule cong :premises (@p404) :args (@t180)) % 33.21/33.41 (step @p406 :rule refl :args (@t160)) % 33.21/33.41 (step @p407 :rule nary_cong :premises (@p387 @p371 @p370 @p406 @p340 @p405 @p403 @p317 @p401 @p399 @p386 @p386) :args (@t183)) % 33.21/33.41 (step @p408 :rule cong :premises (@p407) :args (@t185)) % 33.21/33.41 (step @p409 :rule trans :premises (@p408 @p397)) % 33.21/33.41 (step @p410 :rule eq_resolve :premises (@p193 @p409)) % 33.21/33.41 (step @p411 :rule chain_m_resolution :premises (@p410 @p222 @p294 @p268 @p271 @p263 @p259) :args (@t224 (@list false false false false false false) (@list @t167 @t169 @t214 @t217 @t209 @t205))) % 33.21/33.41 (step @p412 :rule refl :args (@t155)) % 33.21/33.41 (step @p413 :rule cong :premises (@p188 @p412) :args (@t280)) % 33.21/33.41 (step @p414 :rule cong :premises (@p413) :args (@t281)) % 33.21/33.41 (step @p415 :rule refl :args (@t157)) % 33.21/33.41 (step @p416 :rule cong :premises (@p187 @p415) :args (@t282)) % 33.21/33.41 (step @p417 :rule cong :premises (@p416) :args (@t283)) % 33.21/33.41 (step @p418 :rule refl :args (@t161)) % 33.21/33.41 (step @p419 :rule nary_cong :premises (@p418 @p406 @p340 @p417 @p414) :args (@t284)) % 33.21/33.41 (step @p420 :rule cong :premises (@p419) :args ((forall @t163 @t284))) % 33.21/33.41 (step @p421 :rule eq-symm :args (@t155 tptp.sk1)) % 33.21/33.41 (step @p422 :rule cong :premises (@p421) :args (@t156)) % 33.21/33.41 (step @p423 :rule eq-symm :args (@t157 tptp.sk2)) % 33.21/33.41 (step @p424 :rule cong :premises (@p423) :args (@t158)) % 33.21/33.41 (step @p425 :rule nary_cong :premises (@p418 @p406 @p340 @p424 @p422) :args (@t162)) % 33.21/33.41 (step @p426 :rule cong :premises (@p425) :args (@t164)) % 33.21/33.41 (step @p427 :rule trans :premises (@p426 @p420)) % 33.21/33.41 (step @p428 :rule eq_resolve :premises (@p190 @p427)) % 33.21/33.41 (step @p429 :rule instantiate :premises (@p428) :args ((@list @t172 @t179 tptp.nil))) % 33.21/33.41 (step @p430 :rule instantiate :premises (@p146) :args ((@list @t179 @t208 tptp.nil))) % 33.21/33.41 (step @p431 :rule cnf_or_pos :args (@t288)) % 33.21/33.41 (step @p432 :rule reordering :premises (@p431) :args ((or @t210 @t218 @t219 @t287 (not @t288)))) % 33.21/33.41 (step @p433 :rule chain_m_resolution :premises (@p432 @p8 @p268 @p263 @p430) :args (@t287 @t289 (@list @t1 @t214 @t209 @t288))) % 33.21/33.41 (step @p434 :rule instantiate :premises (@p154) :args ((@list @t172 tptp.nil @t179))) % 33.21/33.41 (step @p435 :rule cnf_or_pos :args (@t292)) % 33.21/33.41 (step @p436 :rule reordering :premises (@p435) :args ((or @t210 @t218 @t211 @t291 (not @t292)))) % 33.21/33.41 (step @p437 :rule chain_m_resolution :premises (@p436 @p8 @p268 @p259 @p434) :args (@t291 @t289 (@list @t1 @t214 @t205 @t292))) % 33.21/33.41 (step @p438 :rule eq-symm :args (@t54 @t2)) % 33.21/33.41 (step @p439 :rule nary_cong :premises (@p274 @p438) :args (@t55)) % 33.21/33.41 (step @p440 :rule cong :premises (@p439) :args (@t56)) % 33.21/33.41 (step @p441 :rule eq_resolve :premises (@p74 @p440)) % 33.21/33.41 (step @p442 :rule instantiate :premises (@p441) :args ((@list @t179))) % 33.21/33.41 (step @p443 :rule cnf_or_pos :args (@t294)) % 33.21/33.41 (step @p444 :rule reordering :premises (@p443) :args ((or @t218 @t293 (not @t294)))) % 33.21/33.41 (step @p445 :rule chain_m_resolution :premises (@p444 @p268 @p442) :args (@t293 @t199 (@list @t214 @t294))) % 33.21/33.41 (step @p446 :rule instantiate :premises (@p441) :args (@t186)) % 33.21/33.41 (step @p447 :rule cnf_or_pos :args (@t297)) % 33.21/33.41 (step @p448 :rule reordering :premises (@p447) :args ((or @t195 @t296 (not @t297)))) % 33.21/33.41 (step @p449 :rule chain_m_resolution :premises (@p448 @p185 @p446) :args (@t296 @t199 (@list @t148 @t297))) % 33.21/33.41 (step @p450 :rule refl :args (@t57)) % 33.21/33.41 (step @p451 :rule eq-symm :args (@t81 @t2)) % 33.21/33.41 (step @p452 :rule nary_cong :premises (@p274 @p451 @p450) :args (@t82)) % 33.21/33.41 (step @p453 :rule cong :premises (@p452) :args (@t83)) % 33.21/33.41 (step @p454 :rule eq_resolve :premises (@p102 @p453)) % 33.21/33.41 (step @p455 :rule instantiate :premises (@p454) :args (@t186)) % 33.21/33.41 (step @p456 :rule cnf_or_pos :args (@t300)) % 33.21/33.41 (step @p457 :rule reordering :premises (@p456) :args ((or @t165 @t195 @t299 (not @t300)))) % 33.21/33.41 (step @p458 :rule chain_m_resolution :premises (@p457 @p256 @p185 @p455) :args (@t299 @t207 (@list @t165 @t148 @t300))) % 33.21/33.41 (assume-push @p558 @t299) % 33.21/33.41 (assume-push @p559 @t296) % 33.21/33.41 (assume-push @p560 @t293) % 33.21/33.41 (assume-push @p561 @t291) % 33.21/33.41 (assume-push @p562 @t287) % 33.21/33.41 (assume-push @p563 @t287) % 33.21/33.41 (assume-push @p564 @t291) % 33.21/33.41 (assume-push @p565 @t293) % 33.21/33.41 (assume-push @p566 @t299) % 33.21/33.41 (assume-push @p567 @t296) % 33.21/33.41 (step @p469 :rule symm :premises (@p562)) % 33.21/33.41 (step @p470 :rule refl :args (@t172)) % 33.21/33.41 (step @p471 :rule cong :premises (@p470 @p560) :args (@t298)) % 33.21/33.41 (step @p472 :rule trans :premises (@p558 @p471 @p561)) % 33.21/33.41 (step @p473 :rule cong :premises (@p220 @p472) :args (@t295)) % 33.21/33.41 (step @p474 :rule trans :premises (@p449 @p473 @p469)) % 33.21/33.41 (step-pop @p568 :rule scope :premises (@p474)) % 33.21/33.41 (step-pop @p569 :rule scope :premises (@p568)) % 33.21/33.41 (step-pop @p570 :rule scope :premises (@p569)) % 33.21/33.41 (step-pop @p571 :rule scope :premises (@p570)) % 33.21/33.41 (step-pop @p572 :rule scope :premises (@p571)) % 33.21/33.41 (step @p475 :rule process_scope :premises (@p572) :args (@t301)) % 33.21/33.41 (step @p481 :rule and_intro :premises (@p562 @p561 @p560 @p558 @p449)) % 33.21/33.41 (step @p482 :rule modus_ponens :premises (@p481 @p475)) % 33.21/33.41 (step-pop @p573 :rule scope :premises (@p482)) % 33.21/33.41 (step-pop @p574 :rule scope :premises (@p573)) % 33.21/33.41 (step-pop @p575 :rule scope :premises (@p574)) % 33.21/33.41 (step-pop @p576 :rule scope :premises (@p575)) % 33.21/33.41 (step-pop @p577 :rule scope :premises (@p576)) % 33.21/33.41 (step @p483 :rule process_scope :premises (@p577) :args (@t301)) % 33.21/33.41 (step @p489 :rule implies_elim :premises (@p483)) % 33.21/33.41 (step @p490 :rule cnf_and_neg :args (@t302)) % 33.21/33.41 (step @p491 :rule resolution :premises (@p490 @p489) :args (true @t302)) % 33.21/33.41 (step @p492 :rule chain_m_resolution :premises (@p491 @p458 @p449 @p445 @p437 @p433) :args (@t301 @t303 (@list @t299 @t296 @t293 @t291 @t287))) % 33.21/33.41 (step @p493 :rule cnf_or_pos :args (@t307)) % 33.21/33.41 (step @p494 :rule reordering :premises (@p493) :args ((or @t210 @t218 @t211 @t306 @t304 (not @t307)))) % 33.21/33.41 (step @p495 :rule chain_m_resolution :premises (@p494 @p8 @p268 @p259 @p492 @p429) :args (@t306 @t303 (@list @t1 @t214 @t205 @t301 @t307))) % 33.21/33.41 (step @p496 :rule eq-symm :args (@t51 @t2)) % 33.21/33.41 (step @p497 :rule nary_cong :premises (@p274 @p496) :args (@t52)) % 33.21/33.41 (step @p498 :rule cong :premises (@p497) :args (@t53)) % 33.21/33.41 (step @p499 :rule eq_resolve :premises (@p73 @p498)) % 33.21/33.41 (step @p500 :rule instantiate :premises (@p499) :args ((@list tptp.sk4))) % 33.21/33.41 (step @p501 :rule cnf_or_pos :args (@t311)) % 33.21/33.41 (step @p502 :rule reordering :premises (@p501) :args ((or @t310 @t309 (not @t311)))) % 33.21/33.41 (step @p503 :rule chain_m_resolution :premises (@p502 @p186 @p500) :args (@t309 @t199 (@list @t149 @t311))) % 33.21/33.41 (step @p504 :rule refl :args (@t312)) % 33.21/33.41 (step @p505 :rule bool-double-not-elim :args (@t305)) % 33.21/33.41 (step @p506 :rule refl :args (@t313)) % 33.21/33.41 (step @p507 :rule nary_cong :premises (@p506 @p505 @p504) :args ((or @t313 (not @t306) @t312))) % 33.21/33.41 (assume-push @p578 @t312) % 33.21/33.41 (assume-push @p579 @t309) % 33.21/33.41 (step @p231 :rule evaluate :args (@t203)) % 33.21/33.41 (step @p510 :rule true_intro :premises (@p503)) % 33.21/33.41 (step @p511 :rule false_intro :premises (@p578)) % 33.21/33.41 (step @p512 :rule symm :premises (@p511)) % 33.21/33.41 (step @p513 :rule trans :premises (@p512 @p510)) % 33.21/33.41 (step @p514 false :rule eq_resolve :premises (@p513 @p231)) % 33.21/33.41 (step-pop @p580 :rule scope :premises (@p514)) % 33.21/33.41 (step-pop @p581 :rule scope :premises (@p580)) % 33.21/33.41 (step @p515 :rule process_scope :premises (@p581) :args (false)) % 33.21/33.41 (assume-push @p582 @t224) % 33.21/33.41 (assume-push @p583 @t306) % 33.21/33.41 (assume-push @p584 @t309) % 33.21/33.41 (assume-push @p585 @t306) % 33.21/33.41 (assume-push @p586 @t224) % 33.21/33.41 (step @p523 :rule false_intro :premises (@p583)) % 33.21/33.41 (step @p524 :rule cong :premises (@p582 @p220) :args (@t308)) % 33.21/33.41 (step @p525 :rule refl :args (tptp.sk4)) % 33.21/33.41 (step @p526 :rule cong :premises (@p525 @p524) :args (@t309)) % 33.21/33.41 (step @p527 :rule trans :premises (@p526 @p523)) % 33.21/33.41 (step @p528 :rule false_elim :premises (@p527)) % 33.21/33.41 (step-pop @p587 :rule scope :premises (@p528)) % 33.21/33.41 (step-pop @p588 :rule scope :premises (@p587)) % 33.21/33.41 (step @p529 :rule process_scope :premises (@p588) :args (@t312)) % 33.21/33.41 (step @p532 :rule and_intro :premises (@p583 @p582)) % 33.21/33.41 (step @p533 :rule modus_ponens :premises (@p532 @p529)) % 33.21/33.41 (step @p534 :rule and_intro :premises (@p533 @p503)) % 33.21/33.41 (step-pop @p589 :rule scope :premises (@p534)) % 33.21/33.41 (step-pop @p590 :rule scope :premises (@p589)) % 33.21/33.41 (step-pop @p591 :rule scope :premises (@p590)) % 33.21/33.41 (step @p535 :rule process_scope :premises (@p591) :args (@t314)) % 33.21/33.41 (step @p539 :rule implies_elim :premises (@p535)) % 33.21/33.41 (step @p540 :rule resolution :premises (@p539 @p515) :args (true @t314)) % 33.21/33.41 (step @p541 :rule not_and :premises (@p540)) % 33.21/33.41 (step @p542 :rule eq_resolve :premises (@p541 @p507)) % 33.21/33.41 (step @p543 false :rule chain_m_resolution :premises (@p542 @p503 @p495 @p411) :args (false (@list false true false) (@list @t309 @t305 @t224))) % 33.21/33.41 ) % 33.21/33.41 % SZS output end Proof % 33.21/33.41 % cvc5 exiting %------------------------------------------------------------------------------