%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC013-1 : 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 : n023.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 08:57:42 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.89s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC013-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:10:13 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.89 % SZS status Unsatisfiable % 0.39/0.89 % SZS output start Proof % 0.39/0.91 ( % 0.39/0.91 (declare-sort $$unsorted 0) % 0.39/0.91 (declare-const tptp.sk4 $$unsorted) % 0.39/0.91 (declare-const tptp.sk2 $$unsorted) % 0.39/0.91 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.nil $$unsorted) % 0.39/0.91 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.sk1 $$unsorted) % 0.39/0.91 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skac2 $$unsorted) % 0.39/0.91 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.sk3 $$unsorted) % 0.39/0.91 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skac3 $$unsorted) % 0.39/0.91 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.91 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.91 (define @t1 () (tptp.ssList tptp.nil)) % 0.39/0.91 (define @t2 () (@var "U" $$unsorted)) % 0.39/0.91 (define @t3 () (tptp.skaf83 @t2)) % 0.39/0.91 (define @t4 () (@list @t2)) % 0.39/0.91 (define @t5 () (tptp.skaf82 @t2)) % 0.39/0.91 (define @t6 () (tptp.skaf81 @t2)) % 0.39/0.91 (define @t7 () (tptp.skaf80 @t2)) % 0.39/0.91 (define @t8 () (tptp.skaf79 @t2)) % 0.39/0.91 (define @t9 () (tptp.skaf78 @t2)) % 0.39/0.91 (define @t10 () (tptp.skaf77 @t2)) % 0.39/0.91 (define @t11 () (tptp.skaf76 @t2)) % 0.39/0.91 (define @t12 () (tptp.skaf75 @t2)) % 0.39/0.91 (define @t13 () (tptp.skaf74 @t2)) % 0.39/0.91 (define @t14 () (tptp.skaf73 @t2)) % 0.39/0.91 (define @t15 () (tptp.skaf72 @t2)) % 0.39/0.91 (define @t16 () (tptp.skaf71 @t2)) % 0.39/0.91 (define @t17 () (tptp.skaf70 @t2)) % 0.39/0.91 (define @t18 () (tptp.skaf69 @t2)) % 0.39/0.91 (define @t19 () (tptp.skaf68 @t2)) % 0.39/0.91 (define @t20 () (tptp.skaf67 @t2)) % 0.39/0.91 (define @t21 () (tptp.skaf66 @t2)) % 0.39/0.91 (define @t22 () (tptp.skaf65 @t2)) % 0.39/0.91 (define @t23 () (tptp.skaf64 @t2)) % 0.39/0.91 (define @t24 () (tptp.skaf63 @t2)) % 0.39/0.91 (define @t25 () (tptp.skaf62 @t2)) % 0.39/0.91 (define @t26 () (tptp.skaf61 @t2)) % 0.39/0.91 (define @t27 () (tptp.skaf60 @t2)) % 0.39/0.91 (define @t28 () (tptp.skaf59 @t2)) % 0.39/0.91 (define @t29 () (tptp.skaf58 @t2)) % 0.39/0.91 (define @t30 () (tptp.skaf57 @t2)) % 0.39/0.91 (define @t31 () (tptp.skaf56 @t2)) % 0.39/0.91 (define @t32 () (tptp.skaf55 @t2)) % 0.39/0.91 (define @t33 () (tptp.skaf54 @t2)) % 0.39/0.91 (define @t34 () (tptp.skaf53 @t2)) % 0.39/0.91 (define @t35 () (tptp.skaf52 @t2)) % 0.39/0.91 (define @t36 () (tptp.skaf51 @t2)) % 0.39/0.91 (define @t37 () (tptp.skaf50 @t2)) % 0.39/0.91 (define @t38 () (tptp.skaf49 @t2)) % 0.39/0.91 (define @t39 () (tptp.skaf44 @t2)) % 0.39/0.91 (define @t40 () (@var "V" $$unsorted)) % 0.39/0.91 (define @t41 () (@list @t2 @t40)) % 0.39/0.91 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.39/0.91 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.39/0.91 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.39/0.91 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.39/0.91 (define @t46 () (not (tptp.ssItem @t2))) % 0.39/0.91 (define @t47 () (not (tptp.ssList @t2))) % 0.39/0.91 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.39/0.91 (define @t49 () (tptp.ssItem @t40)) % 0.39/0.91 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.39/0.91 (define @t51 () (= tptp.nil @t2)) % 0.39/0.91 (define @t52 () (tptp.tl @t2)) % 0.39/0.91 (define @t53 () (tptp.hd @t2)) % 0.39/0.91 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 0.39/0.91 (define @t55 () (not @t51)) % 0.39/0.91 (define @t56 () (tptp.rearsegP tptp.nil @t2)) % 0.39/0.91 (define @t57 () (tptp.frontsegP tptp.nil @t2)) % 0.39/0.91 (define @t58 () (tptp.app @t40 @t2)) % 0.39/0.91 (define @t59 () (not (tptp.ssList @t40))) % 0.39/0.91 (define @t60 () (tptp.cons @t2 @t40)) % 0.39/0.91 (define @t61 () (forall @t41 (or @t46 @t59 (tptp.ssList @t60)))) % 0.39/0.91 (define @t62 () (tptp.cyclefreeP @t2)) % 0.39/0.91 (define @t63 () (tptp.equalelemsP @t2)) % 0.39/0.91 (define @t64 () (tptp.strictorderedP @t2)) % 0.39/0.91 (define @t65 () (tptp.totalorderedP @t2)) % 0.39/0.91 (define @t66 () (tptp.strictorderP @t2)) % 0.39/0.91 (define @t67 () (tptp.totalorderP @t2)) % 0.39/0.91 (define @t68 () (= @t40 @t2)) % 0.39/0.91 (define @t69 () (tptp.neq @t40 @t2)) % 0.39/0.91 (define @t70 () (or @t47 @t59 @t69 @t68)) % 0.39/0.91 (define @t71 () (forall @t41 @t70)) % 0.39/0.91 (define @t72 () (not @t49)) % 0.39/0.91 (define @t73 () (tptp.leq @t2 @t40)) % 0.39/0.91 (define @t74 () (tptp.lt @t2 @t40)) % 0.39/0.91 (define @t75 () (not @t74)) % 0.39/0.91 (define @t76 () (tptp.lt @t40 @t2)) % 0.39/0.91 (define @t77 () (not (tptp.gt @t2 @t40))) % 0.39/0.91 (define @t78 () (tptp.gt @t40 @t2)) % 0.39/0.91 (define @t79 () (tptp.leq @t40 @t2)) % 0.39/0.91 (define @t80 () (not (tptp.geq @t2 @t40))) % 0.39/0.91 (define @t81 () (tptp.geq @t40 @t2)) % 0.39/0.91 (define @t82 () (not @t73)) % 0.39/0.91 (define @t83 () (= @t2 @t40)) % 0.39/0.91 (define @t84 () (not @t83)) % 0.39/0.91 (define @t85 () (tptp.cons @t40 @t2)) % 0.39/0.91 (define @t86 () (not (tptp.neq @t2 @t40))) % 0.39/0.91 (define @t87 () (or @t84 @t86 @t59 @t47)) % 0.39/0.91 (define @t88 () (forall @t41 @t87)) % 0.39/0.91 (define @t89 () (tptp.app @t2 @t40)) % 0.39/0.91 (define @t90 () (= @t89 tptp.nil)) % 0.39/0.91 (define @t91 () (not @t90)) % 0.39/0.91 (define @t92 () (= tptp.nil @t40)) % 0.39/0.91 (define @t93 () (tptp.hd @t40)) % 0.39/0.91 (define @t94 () (tptp.strictorderedP @t40)) % 0.39/0.91 (define @t95 () (tptp.strictorderedP @t60)) % 0.39/0.91 (define @t96 () (not @t95)) % 0.39/0.91 (define @t97 () (tptp.totalorderedP @t40)) % 0.39/0.91 (define @t98 () (tptp.totalorderedP @t60)) % 0.39/0.91 (define @t99 () (not @t98)) % 0.39/0.91 (define @t100 () (not (tptp.segmentP @t2 @t40))) % 0.39/0.91 (define @t101 () (not (tptp.rearsegP @t2 @t40))) % 0.39/0.91 (define @t102 () (not (tptp.frontsegP @t2 @t40))) % 0.39/0.91 (define @t103 () (not @t79)) % 0.39/0.91 (define @t104 () (tptp.tl @t40)) % 0.39/0.91 (define @t105 () (tptp.lt @t2 @t93)) % 0.39/0.91 (define @t106 () (tptp.leq @t2 @t93)) % 0.39/0.91 (define @t107 () (@var "W" $$unsorted)) % 0.39/0.91 (define @t108 () (tptp.app @t107 @t2)) % 0.39/0.91 (define @t109 () (not (tptp.ssList @t107))) % 0.39/0.91 (define @t110 () (@list @t2 @t40 @t107)) % 0.39/0.91 (define @t111 () (tptp.app @t2 @t107)) % 0.39/0.91 (define @t112 () (tptp.cons @t40 @t107)) % 0.39/0.91 (define @t113 () (tptp.cons @t107 @t2)) % 0.39/0.91 (define @t114 () (not (tptp.ssItem @t107))) % 0.39/0.91 (define @t115 () (not (tptp.memberP @t2 @t40))) % 0.39/0.91 (define @t116 () (not (= @t89 @t107))) % 0.39/0.91 (define @t117 () (tptp.lt @t2 @t107)) % 0.39/0.91 (define @t118 () (not (tptp.lt @t40 @t107))) % 0.39/0.91 (define @t119 () (tptp.app @t107 @t40)) % 0.39/0.91 (define @t120 () (= @t40 @t107)) % 0.39/0.91 (define @t121 () (= @t2 @t107)) % 0.39/0.91 (define @t122 () (tptp.memberP @t40 @t107)) % 0.39/0.91 (define @t123 () (@var "X" $$unsorted)) % 0.39/0.91 (define @t124 () (not (tptp.ssList @t123))) % 0.39/0.91 (define @t125 () (tptp.cons @t107 @t123)) % 0.39/0.91 (define @t126 () (not (= @t60 @t125))) % 0.39/0.91 (define @t127 () (@list @t2 @t40 @t107 @t123)) % 0.39/0.91 (define @t128 () (not (tptp.frontsegP @t60 @t125))) % 0.39/0.91 (define @t129 () (tptp.app @t2 @t112)) % 0.39/0.91 (define @t130 () (not (tptp.ssItem @t123))) % 0.39/0.91 (define @t131 () (@var "Y" $$unsorted)) % 0.39/0.91 (define @t132 () (not (tptp.ssList @t131))) % 0.39/0.91 (define @t133 () (@list @t2 @t40 @t107 @t123 @t131)) % 0.39/0.91 (define @t134 () (tptp.lt @t40 @t123)) % 0.39/0.91 (define @t135 () (@var "Z" $$unsorted)) % 0.39/0.91 (define @t136 () (not (tptp.ssList @t135))) % 0.39/0.91 (define @t137 () (not (= (tptp.app @t129 (tptp.cons @t123 @t131)) @t135))) % 0.39/0.91 (define @t138 () (@list @t2 @t40 @t107 @t123 @t131 @t135)) % 0.39/0.91 (define @t139 () (tptp.leq @t40 @t123)) % 0.39/0.91 (define @t140 () (tptp.ssList tptp.sk1)) % 0.39/0.91 (define @t141 () (tptp.ssList tptp.sk2)) % 0.39/0.91 (define @t142 () (tptp.ssList tptp.sk4)) % 0.39/0.91 (define @t143 () (= tptp.sk2 tptp.sk4)) % 0.39/0.91 (define @t144 () (= tptp.sk1 tptp.sk3)) % 0.39/0.91 (define @t145 () (tptp.neq tptp.sk2 tptp.nil)) % 0.39/0.91 (define @t146 () (or @t145 @t145)) % 0.39/0.91 (define @t147 () (tptp.neq tptp.sk4 tptp.nil)) % 0.39/0.91 (define @t148 () (not @t147)) % 0.39/0.91 (define @t149 () (tptp.neq tptp.nil tptp.sk4)) % 0.39/0.91 (define @t150 () (not @t149)) % 0.39/0.91 (define @t151 () (@var "B" $$unsorted)) % 0.39/0.91 (define @t152 () (tptp.hd tptp.sk4)) % 0.39/0.91 (define @t153 () (not (= @t152 @t151))) % 0.39/0.91 (define @t154 () (@var "A" $$unsorted)) % 0.39/0.91 (define @t155 () (tptp.cons @t151 tptp.nil)) % 0.39/0.91 (define @t156 () (not (= @t155 @t154))) % 0.39/0.91 (define @t157 () (not (tptp.ssItem @t151))) % 0.39/0.91 (define @t158 () (= tptp.sk3 @t154)) % 0.39/0.91 (define @t159 () (not (tptp.ssList @t154))) % 0.39/0.91 (define @t160 () (@list @t154 @t151)) % 0.39/0.91 (define @t161 () (tptp.neq tptp.nil tptp.sk2)) % 0.39/0.91 (define @t162 () (not @t161)) % 0.39/0.91 (define @t163 () (tptp.hd tptp.sk2)) % 0.39/0.91 (define @t164 () (not (= @t163 @t151))) % 0.39/0.91 (define @t165 () (not (= tptp.sk1 @t154))) % 0.39/0.91 (define @t166 () (or @t159 @t158 @t157 @t156 @t153 @t150 @t148)) % 0.39/0.91 (define @t167 () (forall @t160 @t166)) % 0.39/0.91 (define @t168 () (or @t159 @t165 @t157 @t156 @t164 @t162 @t148)) % 0.39/0.91 (define @t169 () (forall @t160 @t168)) % 0.39/0.91 (define @t170 () (@list tptp.sk2)) % 0.39/0.91 (define @t171 () (not (tptp.neq @t40 @t40))) % 0.39/0.91 (define @t172 () (not (= @t40 @t40))) % 0.39/0.91 (define @t173 () (or @t172 @t171 @t59 @t59)) % 0.39/0.91 (define @t174 () (@list @t40)) % 0.39/0.91 (define @t175 () (or @t84 @t84 @t86 @t59 @t47)) % 0.39/0.91 (define @t176 () (forall @t4 @t87)) % 0.39/0.91 (define @t177 () (forall @t174 @t176)) % 0.39/0.91 (define @t178 () (forall (@list @t40 @t2) @t87)) % 0.39/0.91 (define @t179 () (not @t141)) % 0.39/0.91 (define @t180 () (tptp.neq tptp.sk2 tptp.sk2)) % 0.39/0.91 (define @t181 () (not @t180)) % 0.39/0.91 (define @t182 () (or @t181 @t179)) % 0.39/0.91 (define @t183 () (@list false false)) % 0.39/0.91 (define @t184 () (= tptp.nil tptp.sk2)) % 0.39/0.91 (define @t185 () (not @t184)) % 0.39/0.91 (define @t186 () (not @t145)) % 0.39/0.91 (define @t187 () (not @t143)) % 0.39/0.91 (define @t188 () (and @t145 @t143 @t184 @t181)) % 0.39/0.91 (define @t189 () (tptp.ssItem @t163)) % 0.39/0.91 (define @t190 () (or @t179 @t189 @t184)) % 0.39/0.91 (define @t191 () (@list false true false)) % 0.39/0.91 (define @t192 () (tptp.ssItem @t152)) % 0.39/0.91 (define @t193 () (and @t143 @t189)) % 0.39/0.91 (define @t194 () (not @t189)) % 0.39/0.91 (define @t195 () (not @t1)) % 0.39/0.91 (define @t196 () (not @t142)) % 0.39/0.91 (define @t197 () (or @t196 @t195 @t149 (= tptp.sk4 tptp.nil))) % 0.39/0.91 (define @t198 () (forall @t41 (or @t47 @t59 @t69 @t83))) % 0.39/0.91 (define @t199 () (= tptp.nil tptp.sk4)) % 0.39/0.91 (define @t200 () (or @t196 @t195 @t149 @t199)) % 0.39/0.91 (define @t201 () (not @t199)) % 0.39/0.91 (define @t202 () (and @t143 @t185)) % 0.39/0.91 (define @t203 () (@list false false true false)) % 0.39/0.91 (define @t204 () (and @t143 @t149)) % 0.39/0.91 (define @t205 () (= tptp.sk1 (tptp.cons @t163 tptp.nil))) % 0.39/0.91 (define @t206 () (not @t205)) % 0.39/0.91 (define @t207 () (not @t140)) % 0.39/0.91 (define @t208 () (or @t207 @t194 @t206)) % 0.39/0.91 (define @t209 () (or @t194 @t206)) % 0.39/0.91 (define @t210 () (not (= @t163 @t163))) % 0.39/0.91 (define @t211 () (or @t194 @t206 @t210)) % 0.39/0.91 (define @t212 () (not (= @t151 @t163))) % 0.39/0.91 (define @t213 () (not (= tptp.sk1 @t155))) % 0.39/0.91 (define @t214 () (or @t212 @t157 @t213 @t212)) % 0.39/0.91 (define @t215 () (@list @t151)) % 0.39/0.91 (define @t216 () (or @t157 @t213 @t212)) % 0.39/0.91 (define @t217 () (forall @t215 @t216)) % 0.39/0.91 (define @t218 () (or @t207 @t217)) % 0.39/0.91 (define @t219 () (or @t207 @t216)) % 0.39/0.91 (define @t220 () (or @t207 @t157 @t213 @t212)) % 0.39/0.91 (define @t221 () (not (= tptp.sk1 tptp.sk1))) % 0.39/0.91 (define @t222 () (or @t207 @t221 @t157 @t213 @t212)) % 0.39/0.91 (define @t223 () (not (= @t154 @t155))) % 0.39/0.91 (define @t224 () (@list @t154)) % 0.39/0.91 (define @t225 () (or @t165 @t159 @t165 @t157 @t223 @t212)) % 0.39/0.91 (define @t226 () (or @t159 @t165 @t157 @t223 @t212)) % 0.39/0.91 (define @t227 () (forall @t224 @t226)) % 0.39/0.91 (define @t228 () (forall @t215 @t227)) % 0.39/0.91 (define @t229 () (@list @t151 @t154)) % 0.39/0.91 (define @t230 () (forall @t229 @t226)) % 0.39/0.91 (define @t231 () (forall @t160 @t226)) % 0.39/0.91 (define @t232 () (or @t162 @t148 @t231)) % 0.39/0.91 (define @t233 () (or @t162 @t148 @t226)) % 0.39/0.91 (define @t234 () (or @t159 @t165 @t157 @t223 @t212 @t162 @t148)) % 0.39/0.91 (define @t235 () (tptp.cons @t152 tptp.nil)) % 0.39/0.91 (define @t236 () (= tptp.sk3 @t235)) % 0.39/0.91 (define @t237 () (not @t236)) % 0.39/0.91 (define @t238 () (not @t144)) % 0.39/0.91 (define @t239 () (and @t143 @t144 @t206)) % 0.39/0.91 (define @t240 () (not @t192)) % 0.39/0.91 (define @t241 () (tptp.ssList @t235)) % 0.39/0.91 (define @t242 () (not @t241)) % 0.39/0.91 (define @t243 () (or @t242 @t236 @t240)) % 0.39/0.91 (define @t244 () (not (= @t152 @t152))) % 0.39/0.91 (define @t245 () (or @t242 @t236 @t240 @t244)) % 0.39/0.91 (define @t246 () (not (= @t151 @t152))) % 0.39/0.91 (define @t247 () (= tptp.sk3 @t155)) % 0.39/0.91 (define @t248 () (not (tptp.ssList @t155))) % 0.39/0.91 (define @t249 () (or @t246 @t248 @t247 @t157 @t246)) % 0.39/0.91 (define @t250 () (or @t248 @t247 @t157 @t246)) % 0.39/0.91 (define @t251 () (not (= @t155 @t155))) % 0.39/0.91 (define @t252 () (or @t248 @t247 @t157 @t251 @t246)) % 0.39/0.91 (define @t253 () (or @t223 @t159 @t158 @t157 @t223 @t246)) % 0.39/0.91 (define @t254 () (or @t159 @t158 @t157 @t223 @t246)) % 0.39/0.91 (define @t255 () (forall @t224 @t254)) % 0.39/0.91 (define @t256 () (forall @t215 @t255)) % 0.39/0.91 (define @t257 () (forall @t229 @t254)) % 0.39/0.91 (define @t258 () (forall @t160 @t254)) % 0.39/0.91 (define @t259 () (or @t150 @t148 @t258)) % 0.39/0.91 (define @t260 () (or @t150 @t148 @t254)) % 0.39/0.91 (define @t261 () (or @t159 @t158 @t157 @t223 @t246 @t150 @t148)) % 0.39/0.91 (define @t262 () (or @t240 @t195 @t241)) % 0.39/0.91 (define @t263 () (not @t262)) % 0.39/0.91 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.39/0.91 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.39/0.91 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.39/0.91 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.39/0.91 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.39/0.91 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.39/0.91 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.39/0.91 (assume @p8 @t1) % 0.39/0.91 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.39/0.91 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.39/0.91 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.39/0.91 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.39/0.91 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.39/0.91 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.39/0.91 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.39/0.91 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.39/0.91 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.39/0.91 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.39/0.91 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.39/0.91 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.39/0.91 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.39/0.91 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.39/0.91 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.39/0.91 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.39/0.91 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.39/0.91 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.39/0.91 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.39/0.91 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.39/0.91 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.39/0.91 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.39/0.91 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.39/0.91 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.39/0.91 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.39/0.91 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.39/0.91 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.39/0.91 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.39/0.91 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.39/0.91 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.39/0.91 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.39/0.91 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.39/0.91 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.39/0.91 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.39/0.91 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.39/0.91 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.39/0.91 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.39/0.91 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.39/0.91 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.39/0.91 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.39/0.91 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.39/0.91 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.39/0.91 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.39/0.91 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.39/0.91 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.39/0.91 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.39/0.91 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.39/0.91 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.39/0.91 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.39/0.91 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.39/0.91 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.39/0.91 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.39/0.91 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.39/0.91 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.39/0.91 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.39/0.91 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.39/0.91 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.39/0.91 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.39/0.91 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.39/0.91 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.39/0.91 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.39/0.91 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.39/0.91 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.39/0.91 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.39/0.91 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.39/0.91 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 0.39/0.91 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 0.39/0.91 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 0.39/0.91 (assume @p77 (forall @t4 (or @t55 @t47 @t54))) % 0.39/0.91 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 0.39/0.91 (assume @p79 (forall @t4 (or @t55 @t47 @t56))) % 0.39/0.91 (assume @p80 (forall @t4 (or (not @t56) @t47 @t51))) % 0.39/0.91 (assume @p81 (forall @t4 (or @t55 @t47 @t57))) % 0.39/0.91 (assume @p82 (forall @t4 (or (not @t57) @t47 @t51))) % 0.39/0.91 (assume @p83 (forall @t41 (or @t47 @t59 (tptp.ssList @t58)))) % 0.39/0.91 (assume @p84 @t61) % 0.39/0.91 (assume @p85 (forall @t4 (or @t47 @t62 (tptp.leq @t37 @t38)))) % 0.39/0.91 (assume @p86 (forall @t4 (or @t47 @t62 (tptp.leq @t38 @t37)))) % 0.39/0.91 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t63))) % 0.39/0.91 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t64))) % 0.39/0.91 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t65))) % 0.39/0.91 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t66))) % 0.39/0.91 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t66))) % 0.39/0.91 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t67))) % 0.39/0.91 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t67))) % 0.39/0.91 (assume @p94 (forall @t41 (or @t46 @t59 (= (tptp.tl @t60) @t40)))) % 0.39/0.91 (assume @p95 (forall @t41 (or @t46 @t59 (= (tptp.hd @t60) @t2)))) % 0.39/0.91 (assume @p96 (forall @t41 (or (not (= @t60 tptp.nil)) @t46 @t59))) % 0.39/0.91 (assume @p97 (forall @t41 (or (not (= @t60 @t40)) @t46 @t59))) % 0.39/0.91 (assume @p98 @t71) % 0.39/0.91 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.39/0.91 (assume @p100 (forall @t41 (or @t46 @t72 @t69 @t68))) % 0.39/0.91 (assume @p101 (forall @t41 (or @t75 @t72 @t46 @t73))) % 0.39/0.91 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 0.39/0.91 (assume @p103 (forall @t41 (or @t77 @t72 @t46 @t76))) % 0.39/0.91 (assume @p104 (forall @t41 (or @t75 @t46 @t72 @t78))) % 0.39/0.91 (assume @p105 (forall @t41 (or @t80 @t72 @t46 @t79))) % 0.39/0.91 (assume @p106 (forall @t41 (or @t82 @t46 @t72 @t81))) % 0.39/0.91 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 0.39/0.91 (assume @p108 (forall @t41 (or @t77 (not @t78) @t46 @t72))) % 0.39/0.91 (assume @p109 (forall @t41 (or @t84 @t75 @t72 @t46))) % 0.39/0.91 (assume @p110 (forall @t41 (or @t55 @t47 @t72 (tptp.strictorderedP @t85)))) % 0.39/0.91 (assume @p111 (forall @t41 (or @t55 @t47 @t72 (tptp.totalorderedP @t85)))) % 0.39/0.91 (assume @p112 (forall @t41 (or @t75 (not @t76) @t46 @t72))) % 0.39/0.91 (assume @p113 @t88) % 0.39/0.91 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t59 (tptp.singletonP @t40)))) % 0.39/0.91 (assume @p115 (forall @t41 (or @t84 @t86 @t72 @t46))) % 0.39/0.91 (assume @p116 (forall @t41 (or @t91 @t59 @t47 @t51))) % 0.39/0.91 (assume @p117 (forall @t41 (or @t91 @t59 @t47 @t92))) % 0.39/0.91 (assume @p118 (forall @t41 (or @t46 @t59 (= (tptp.app @t48 @t40) @t60)))) % 0.39/0.91 (assume @p119 (forall @t41 (or @t82 @t72 @t46 @t74 @t83))) % 0.39/0.91 (assume @p120 (forall @t41 (or @t47 @t59 @t92 (= (tptp.hd @t58) @t93)))) % 0.39/0.91 (assume @p121 (forall @t41 (or @t96 @t59 @t46 @t94 @t92))) % 0.39/0.91 (assume @p122 (forall @t41 (or @t99 @t59 @t46 @t97 @t92))) % 0.39/0.91 (assume @p123 (forall @t41 (or @t80 (not @t81) @t46 @t72 @t68))) % 0.39/0.91 (assume @p124 (forall @t41 (or @t100 (not (tptp.segmentP @t40 @t2)) @t47 @t59 @t68))) % 0.39/0.91 (assume @p125 (forall @t41 (or @t101 (not (tptp.rearsegP @t40 @t2)) @t47 @t59 @t68))) % 0.39/0.91 (assume @p126 (forall @t41 (or @t102 (not (tptp.frontsegP @t40 @t2)) @t47 @t59 @t68))) % 0.39/0.91 (assume @p127 (forall @t41 (or @t82 @t103 @t46 @t72 @t68))) % 0.39/0.91 (assume @p128 (forall @t41 (or @t101 @t59 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.39/0.91 (assume @p129 (forall @t41 (or @t102 @t59 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.39/0.91 (assume @p130 (forall @t41 (or @t47 @t59 @t92 (= (tptp.tl @t58) (tptp.app @t104 @t2))))) % 0.39/0.91 (assume @p131 (forall @t41 (or @t96 @t59 @t46 @t105 @t92))) % 0.39/0.91 (assume @p132 (forall @t41 (or @t99 @t59 @t46 @t106 @t92))) % 0.39/0.91 (assume @p133 (forall @t110 (or @t101 @t109 @t59 @t47 (tptp.rearsegP @t108 @t40)))) % 0.39/0.91 (assume @p134 (forall @t110 (or @t102 @t109 @t59 @t47 (tptp.frontsegP @t111 @t40)))) % 0.39/0.91 (assume @p135 (forall @t110 (or @t84 @t109 @t72 @t46 (tptp.memberP @t112 @t2)))) % 0.39/0.91 (assume @p136 (forall @t110 (or @t115 @t47 @t114 @t72 (tptp.memberP @t113 @t40)))) % 0.39/0.91 (assume @p137 (forall @t110 (or @t115 @t109 @t47 @t72 (tptp.memberP @t111 @t40)))) % 0.39/0.91 (assume @p138 (forall @t110 (or @t115 @t47 @t109 @t72 (tptp.memberP @t108 @t40)))) % 0.39/0.91 (assume @p139 (forall @t4 (or @t47 @t63 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.39/0.91 (assume @p140 (forall @t110 (or @t116 @t47 @t59 @t109 (tptp.rearsegP @t107 @t40)))) % 0.39/0.91 (assume @p141 (forall @t110 (or @t116 @t59 @t47 @t109 (tptp.frontsegP @t107 @t2)))) % 0.39/0.91 (assume @p142 (forall @t41 (or @t55 (not @t92) @t59 @t47 @t90))) % 0.39/0.91 (assume @p143 (forall @t110 (or @t77 (not (tptp.gt @t40 @t107)) @t114 @t72 @t46 (tptp.gt @t2 @t107)))) % 0.39/0.91 (assume @p144 (forall @t110 (or @t82 @t118 @t114 @t72 @t46 @t117))) % 0.39/0.91 (assume @p145 (forall @t110 (or @t80 (not (tptp.geq @t40 @t107)) @t114 @t72 @t46 (tptp.geq @t2 @t107)))) % 0.39/0.91 (assume @p146 (forall @t110 (or @t47 @t59 @t109 (= (tptp.app @t119 @t2) (tptp.app @t107 @t58))))) % 0.39/0.91 (assume @p147 (forall @t110 (or (not (= @t89 @t111)) @t59 @t47 @t109 @t120))) % 0.39/0.91 (assume @p148 (forall @t110 (or (not (= @t89 @t119)) @t47 @t59 @t109 @t121))) % 0.39/0.91 (assume @p149 (forall @t110 (or @t100 (not (tptp.segmentP @t40 @t107)) @t109 @t59 @t47 (tptp.segmentP @t2 @t107)))) % 0.39/0.91 (assume @p150 (forall @t110 (or @t101 (not (tptp.rearsegP @t40 @t107)) @t109 @t59 @t47 (tptp.rearsegP @t2 @t107)))) % 0.39/0.91 (assume @p151 (forall @t110 (or @t102 (not (tptp.frontsegP @t40 @t107)) @t109 @t59 @t47 (tptp.frontsegP @t2 @t107)))) % 0.39/0.91 (assume @p152 (forall @t110 (or @t75 @t118 @t114 @t72 @t46 @t117))) % 0.39/0.91 (assume @p153 (forall @t110 (or @t82 (not (tptp.leq @t40 @t107)) @t114 @t72 @t46 (tptp.leq @t2 @t107)))) % 0.39/0.91 (assume @p154 (forall @t110 (or @t46 @t59 @t109 (= (tptp.cons @t2 (tptp.app @t40 @t107)) (tptp.app @t60 @t107))))) % 0.39/0.91 (assume @p155 (forall @t110 (or (not (tptp.memberP @t89 @t107)) @t59 @t47 @t114 @t122 (tptp.memberP @t2 @t107)))) % 0.39/0.91 (assume @p156 (forall @t41 (or (not @t106) (not @t97) @t59 @t46 @t98 @t92))) % 0.39/0.91 (assume @p157 (forall @t41 (or (not @t105) (not @t94) @t59 @t46 @t95 @t92))) % 0.39/0.91 (assume @p158 (forall @t110 (or (not (tptp.memberP @t60 @t107)) @t59 @t46 @t114 @t122 (= @t107 @t2)))) % 0.39/0.91 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.39/0.91 (assume @p160 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.39/0.91 (assume @p161 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.39/0.91 (assume @p162 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.39/0.91 (assume @p163 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.39/0.91 (assume @p164 (forall @t4 (or @t47 @t62 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.39/0.91 (assume @p165 (forall @t41 (or @t100 @t59 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.39/0.91 (assume @p166 (forall @t41 (or @t115 @t72 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.39/0.91 (assume @p167 (forall @t127 (or @t126 @t114 @t46 @t124 @t59 @t121))) % 0.39/0.91 (assume @p168 (forall @t127 (or @t126 @t114 @t46 @t124 @t59 (= @t123 @t40)))) % 0.39/0.91 (assume @p169 (forall @t127 (or @t100 @t109 @t124 @t59 @t47 (tptp.segmentP (tptp.app (tptp.app @t123 @t2) @t107) @t40)))) % 0.39/0.91 (assume @p170 (forall @t127 (or (not (= (tptp.app @t89 @t107) @t123)) @t109 @t47 @t59 @t124 (tptp.segmentP @t123 @t40)))) % 0.39/0.91 (assume @p171 (forall @t127 (or @t128 @t124 @t59 @t114 @t46 (tptp.frontsegP @t40 @t123)))) % 0.39/0.91 (assume @p172 (forall @t127 (or (not (= @t129 @t123)) @t109 @t47 @t72 @t124 (tptp.memberP @t123 @t40)))) % 0.39/0.91 (assume @p173 (forall @t127 (or @t128 @t124 @t59 @t114 @t46 @t121))) % 0.39/0.91 (assume @p174 (forall @t41 (or (not (= @t52 @t104)) (not (= @t53 @t93)) @t47 @t59 @t92 @t83 @t51))) % 0.39/0.91 (assume @p175 (forall @t127 (or @t102 (not (= @t107 @t123)) @t59 @t47 @t130 @t114 (tptp.frontsegP @t113 (tptp.cons @t123 @t40))))) % 0.39/0.91 (assume @p176 (forall @t133 (or (not (= (tptp.app @t129 (tptp.cons @t40 @t123)) @t131)) @t124 @t109 @t47 @t72 (not (tptp.duplicatefreeP @t131)) @t132))) % 0.39/0.91 (assume @p177 (forall @t133 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t125)) @t131)) @t124 @t47 @t114 @t72 (not (tptp.equalelemsP @t131)) @t132 @t120))) % 0.39/0.91 (assume @p178 (forall @t138 (or @t137 @t132 @t109 @t47 @t130 @t72 (not (tptp.strictorderedP @t135)) @t136 @t134))) % 0.39/0.91 (assume @p179 (forall @t138 (or @t137 @t132 @t109 @t47 @t130 @t72 (not (tptp.totalorderedP @t135)) @t136 @t139))) % 0.39/0.91 (assume @p180 (forall @t138 (or @t137 @t132 @t109 @t47 @t130 @t72 (not (tptp.strictorderP @t135)) @t136 @t134 (tptp.lt @t123 @t40)))) % 0.39/0.91 (assume @p181 (forall @t138 (or @t137 @t132 @t109 @t47 @t130 @t72 (not (tptp.totalorderP @t135)) @t136 @t139 (tptp.leq @t123 @t40)))) % 0.39/0.91 (assume @p182 (forall @t138 (or @t82 @t103 (not (= (tptp.app (tptp.app @t107 (tptp.cons @t2 @t123)) (tptp.cons @t40 @t131)) @t135)) @t132 @t124 @t109 @t72 @t46 (not (tptp.cyclefreeP @t135)) @t136))) % 0.39/0.91 (assume @p183 @t140) % 0.39/0.91 (assume @p184 @t141) % 0.39/0.91 (assume @p185 (tptp.ssList tptp.sk3)) % 0.39/0.91 (assume @p186 @t142) % 0.39/0.91 (assume @p187 @t143) % 0.39/0.91 (assume @p188 @t144) % 0.39/0.91 (assume @p189 @t146) % 0.39/0.91 (assume @p190 (or @t145 @t148)) % 0.39/0.91 (assume @p191 (forall @t160 (or @t159 @t158 @t157 @t156 @t153 @t150 @t145))) % 0.39/0.91 (assume @p192 (forall @t160 (or @t159 @t165 @t157 @t156 @t164 @t162 @t145))) % 0.39/0.91 (assume @p193 @t167) % 0.39/0.91 (assume @p194 @t169) % 0.39/0.91 (step @p195 :rule instantiate :premises (@p76) :args (@t170)) % 0.39/0.91 (step @p196 :rule aci_norm :args ((= (or false @t171 @t59 @t59) (or @t171 @t59)))) % 0.39/0.91 (step @p197 :rule refl :args (@t59)) % 0.39/0.91 (step @p198 :rule refl :args (@t171)) % 0.39/0.91 (step @p199 :rule evaluate :args ((not true))) % 0.39/0.91 (step @p200 :rule eq-refl :args (@t40)) % 0.39/0.91 (step @p201 :rule cong :premises (@p200) :args (@t172)) % 0.39/0.91 (step @p202 :rule trans :premises (@p201 @p199)) % 0.39/0.91 (step @p203 :rule nary_cong :premises (@p202 @p198 @p197 @p197) :args (@t173)) % 0.39/0.91 (step @p204 :rule trans :premises (@p203 @p196)) % 0.39/0.91 (step @p205 :rule cong :premises (@p204) :args ((forall @t174 @t173))) % 0.39/0.91 (step @p206 :rule quant-var-elim-eq :args ((= (forall @t4 @t175) @t173))) % 0.39/0.91 (step @p207 :rule aci_norm :args ((= @t87 @t175))) % 0.39/0.91 (step @p208 :rule cong :premises (@p207) :args (@t176)) % 0.39/0.91 (step @p209 :rule trans :premises (@p208 @p206)) % 0.39/0.91 (step @p210 :rule cong :premises (@p209) :args (@t177)) % 0.39/0.91 (step @p211 :rule quant-merge-prenex :args ((= @t177 @t178))) % 0.39/0.91 (step @p212 :rule symm :premises (@p211)) % 0.39/0.91 (step @p213 :rule quant_var_reordering :args ((= @t88 @t178))) % 0.39/0.91 (step @p214 :rule trans :premises (@p213 @p212 @p210)) % 0.39/0.91 (step @p215 :rule trans :premises (@p214 @p205)) % 0.39/0.91 (step @p216 :rule eq_resolve :premises (@p113 @p215)) % 0.39/0.91 (step @p217 :rule instantiate :premises (@p216) :args (@t170)) % 0.39/0.91 (step @p218 :rule cnf_or_pos :args (@t182)) % 0.39/0.91 (step @p219 :rule reordering :premises (@p218) :args ((or @t179 @t181 (not @t182)))) % 0.39/0.91 (step @p220 :rule chain_m_resolution :premises (@p219 @p184 @p217) :args (@t181 @t183 (@list @t141 @t182))) % 0.39/0.91 (step @p221 :rule aci_norm :args ((= @t146 @t145))) % 0.39/0.91 (step @p222 :rule eq_resolve :premises (@p189 @p221)) % 0.39/0.91 (step @p223 :rule bool-double-not-elim :args (@t180)) % 0.39/0.91 (step @p224 :rule refl :args (@t185)) % 0.39/0.91 (step @p225 :rule refl :args (@t186)) % 0.39/0.91 (step @p226 :rule refl :args (@t187)) % 0.39/0.91 (step @p227 :rule nary_cong :premises (@p226 @p225 @p224 @p223) :args ((or @t187 @t186 @t185 (not @t181)))) % 0.39/0.91 (assume-push @p527 @t145) % 0.39/0.91 (assume-push @p528 @t143) % 0.39/0.91 (assume-push @p529 @t184) % 0.39/0.91 (assume-push @p530 @t181) % 0.39/0.91 (step @p232 :rule evaluate :args ((= false true))) % 0.39/0.91 (step @p233 :rule true_intro :premises (@p222)) % 0.39/0.91 (step @p234 :rule refl :args (tptp.nil)) % 0.39/0.91 (step @p235 :rule symm :premises (@p187)) % 0.39/0.91 (step @p236 :rule cong :premises (@p235 @p234) :args (@t147)) % 0.39/0.91 (step @p237 :rule symm :premises (@p529)) % 0.39/0.91 (step @p238 :rule cong :premises (@p187 @p237) :args (@t180)) % 0.39/0.91 (step @p239 :rule false_intro :premises (@p220)) % 0.39/0.91 (step @p240 :rule symm :premises (@p239)) % 0.39/0.91 (step @p241 :rule trans :premises (@p240 @p238 @p236 @p233)) % 0.39/0.91 (step @p242 false :rule eq_resolve :premises (@p241 @p232)) % 0.39/0.91 (step-pop @p531 :rule scope :premises (@p242)) % 0.39/0.91 (step-pop @p532 :rule scope :premises (@p531)) % 0.39/0.91 (step-pop @p533 :rule scope :premises (@p532)) % 0.39/0.91 (step-pop @p534 :rule scope :premises (@p533)) % 0.39/0.91 (step @p243 :rule process_scope :premises (@p534) :args (false)) % 0.39/0.91 (assume-push @p535 @t143) % 0.39/0.91 (assume-push @p536 @t145) % 0.39/0.91 (assume-push @p537 @t184) % 0.39/0.91 (assume-push @p538 @t181) % 0.39/0.91 (step @p252 :rule and_intro :premises (@p222 @p187 @p537 @p220)) % 0.39/0.91 (step-pop @p539 :rule scope :premises (@p252)) % 0.39/0.91 (step-pop @p540 :rule scope :premises (@p539)) % 0.39/0.91 (step-pop @p541 :rule scope :premises (@p540)) % 0.39/0.91 (step-pop @p542 :rule scope :premises (@p541)) % 0.39/0.91 (step @p253 :rule process_scope :premises (@p542) :args (@t188)) % 0.39/0.91 (step @p258 :rule implies_elim :premises (@p253)) % 0.39/0.91 (step @p259 :rule resolution :premises (@p258 @p243) :args (true @t188)) % 0.39/0.91 (step @p260 :rule not_and :premises (@p259)) % 0.39/0.91 (step @p261 :rule eq_resolve :premises (@p260 @p227)) % 0.39/0.91 (step @p262 :rule reordering :premises (@p261) :args ((or @t187 @t186 @t180 @t185))) % 0.39/0.91 (step @p263 :rule chain_m_resolution :premises (@p262 @p187 @p222 @p220) :args (@t185 (@list false false true) (@list @t143 @t145 @t180))) % 0.39/0.91 (step @p264 :rule cnf_or_pos :args (@t190)) % 0.39/0.91 (step @p265 :rule reordering :premises (@p264) :args ((or @t189 @t179 @t184 (not @t190)))) % 0.39/0.91 (step @p266 :rule chain_m_resolution :premises (@p265 @p184 @p263 @p195) :args (@t189 @t191 (@list @t141 @t184 @t190))) % 0.39/0.91 (assume-push @p543 @t143) % 0.39/0.91 (assume-push @p544 @t189) % 0.39/0.91 (assume-push @p545 @t189) % 0.39/0.91 (assume-push @p546 @t143) % 0.39/0.91 (step @p271 :rule true_intro :premises (@p544)) % 0.39/0.91 (step @p235 :rule symm :premises (@p187)) % 0.39/0.91 (step @p272 :rule cong :premises (@p235) :args (@t152)) % 0.39/0.91 (step @p273 :rule cong :premises (@p272) :args (@t192)) % 0.39/0.91 (step @p274 :rule trans :premises (@p273 @p271)) % 0.39/0.91 (step @p275 :rule true_elim :premises (@p274)) % 0.39/0.91 (step-pop @p547 :rule scope :premises (@p275)) % 0.39/0.91 (step-pop @p548 :rule scope :premises (@p547)) % 0.39/0.91 (step @p276 :rule process_scope :premises (@p548) :args (@t192)) % 0.39/0.91 (step @p279 :rule and_intro :premises (@p544 @p187)) % 0.39/0.91 (step @p280 :rule modus_ponens :premises (@p279 @p276)) % 0.39/0.91 (step-pop @p549 :rule scope :premises (@p280)) % 0.39/0.91 (step-pop @p550 :rule scope :premises (@p549)) % 0.39/0.91 (step @p281 :rule process_scope :premises (@p550) :args (@t192)) % 0.39/0.91 (step @p284 :rule implies_elim :premises (@p281)) % 0.39/0.91 (step @p285 :rule cnf_and_neg :args (@t193)) % 0.39/0.91 (step @p286 :rule resolution :premises (@p285 @p284) :args (true @t193)) % 0.39/0.91 (step @p287 :rule reordering :premises (@p286) :args ((or @t192 @t194 @t187))) % 0.39/0.91 (step @p288 :rule chain_m_resolution :premises (@p287 @p266 @p187) :args (@t192 @t183 (@list @t189 @t143))) % 0.39/0.91 (step @p289 :rule eq-symm :args (@t40 @t2)) % 0.39/0.91 (step @p290 :rule refl :args (@t69)) % 0.39/0.91 (step @p291 :rule refl :args (@t47)) % 0.39/0.91 (step @p292 :rule nary_cong :premises (@p291 @p197 @p290 @p289) :args (@t70)) % 0.39/0.91 (step @p293 :rule cong :premises (@p292) :args (@t71)) % 0.39/0.91 (step @p294 :rule eq_resolve :premises (@p98 @p293)) % 0.39/0.91 (step @p295 :rule eq-symm :args (tptp.sk4 tptp.nil)) % 0.39/0.91 (step @p296 :rule refl :args (@t149)) % 0.39/0.91 (step @p297 :rule refl :args (@t195)) % 0.39/0.91 (step @p298 :rule refl :args (@t196)) % 0.39/0.91 (step @p299 :rule nary_cong :premises (@p298 @p297 @p296 @p295) :args (@t197)) % 0.39/0.91 (step @p300 :rule refl :args (@t198)) % 0.39/0.91 (step @p301 :rule cong :premises (@p300 @p299) :args ((=> @t198 @t197))) % 0.39/0.91 (assume-push @p551 @t198) % 0.39/0.91 (step @p303 :rule instantiate :premises (@p294) :args ((@list tptp.sk4 tptp.nil))) % 0.39/0.91 (step-pop @p552 :rule scope :premises (@p303)) % 0.39/0.91 (step @p304 :rule process_scope :premises (@p552) :args (@t197)) % 0.39/0.91 (step @p306 :rule eq_resolve :premises (@p304 @p301)) % 0.39/0.91 (step @p307 :rule implies_elim :premises (@p306)) % 0.39/0.91 (step @p308 :rule chain_m_resolution :premises (@p307 @p294) :args (@t200 (@list false) (@list @t198))) % 0.39/0.91 (step @p309 :rule refl :args (@t201)) % 0.39/0.91 (step @p310 :rule bool-double-not-elim :args (@t184)) % 0.39/0.91 (step @p311 :rule nary_cong :premises (@p226 @p310 @p309) :args ((or @t187 (not @t185) @t201))) % 0.39/0.91 (assume-push @p553 @t143) % 0.39/0.91 (assume-push @p554 @t185) % 0.39/0.91 (assume-push @p555 @t185) % 0.39/0.91 (assume-push @p556 @t143) % 0.39/0.91 (step @p316 :rule false_intro :premises (@p554)) % 0.39/0.91 (step @p235 :rule symm :premises (@p187)) % 0.39/0.91 (step @p234 :rule refl :args (tptp.nil)) % 0.39/0.91 (step @p317 :rule cong :premises (@p234 @p235) :args (@t199)) % 0.39/0.91 (step @p318 :rule trans :premises (@p317 @p316)) % 0.39/0.91 (step @p319 :rule false_elim :premises (@p318)) % 0.39/0.91 (step-pop @p557 :rule scope :premises (@p319)) % 0.39/0.91 (step-pop @p558 :rule scope :premises (@p557)) % 0.39/0.91 (step @p320 :rule process_scope :premises (@p558) :args (@t201)) % 0.39/0.91 (step @p323 :rule and_intro :premises (@p554 @p187)) % 0.39/0.91 (step @p324 :rule modus_ponens :premises (@p323 @p320)) % 0.39/0.91 (step-pop @p559 :rule scope :premises (@p324)) % 0.39/0.91 (step-pop @p560 :rule scope :premises (@p559)) % 0.39/0.91 (step @p325 :rule process_scope :premises (@p560) :args (@t201)) % 0.39/0.91 (step @p328 :rule implies_elim :premises (@p325)) % 0.39/0.91 (step @p329 :rule cnf_and_neg :args (@t202)) % 0.39/0.91 (step @p330 :rule resolution :premises (@p329 @p328) :args (true @t202)) % 0.39/0.91 (step @p331 :rule eq_resolve :premises (@p330 @p311)) % 0.39/0.91 (step @p332 :rule chain_m_resolution :premises (@p331 @p187 @p263) :args (@t201 (@list false true) (@list @t143 @t184))) % 0.39/0.91 (step @p333 :rule cnf_or_pos :args (@t200)) % 0.39/0.91 (step @p334 :rule reordering :premises (@p333) :args ((or @t149 @t195 @t196 @t199 (not @t200)))) % 0.39/0.91 (step @p335 :rule chain_m_resolution :premises (@p334 @p8 @p186 @p332 @p308) :args (@t149 @t203 (@list @t1 @t142 @t199 @t200))) % 0.39/0.91 (assume-push @p561 @t143) % 0.39/0.91 (assume-push @p562 @t149) % 0.39/0.91 (assume-push @p563 @t149) % 0.39/0.91 (assume-push @p564 @t143) % 0.39/0.91 (step @p340 :rule true_intro :premises (@p562)) % 0.39/0.91 (step @p234 :rule refl :args (tptp.nil)) % 0.39/0.91 (step @p341 :rule cong :premises (@p234 @p187) :args (@t161)) % 0.39/0.91 (step @p342 :rule trans :premises (@p341 @p340)) % 0.39/0.91 (step @p343 :rule true_elim :premises (@p342)) % 0.39/0.91 (step-pop @p565 :rule scope :premises (@p343)) % 0.39/0.91 (step-pop @p566 :rule scope :premises (@p565)) % 0.39/0.91 (step @p344 :rule process_scope :premises (@p566) :args (@t161)) % 0.39/0.91 (step @p347 :rule and_intro :premises (@p562 @p187)) % 0.39/0.91 (step @p348 :rule modus_ponens :premises (@p347 @p344)) % 0.39/0.91 (step-pop @p567 :rule scope :premises (@p348)) % 0.39/0.91 (step-pop @p568 :rule scope :premises (@p567)) % 0.39/0.91 (step @p349 :rule process_scope :premises (@p568) :args (@t161)) % 0.39/0.91 (step @p352 :rule implies_elim :premises (@p349)) % 0.39/0.91 (step @p353 :rule cnf_and_neg :args (@t204)) % 0.39/0.91 (step @p354 :rule resolution :premises (@p353 @p352) :args (true @t204)) % 0.39/0.91 (step @p355 :rule reordering :premises (@p354) :args ((or @t150 @t161 @t187))) % 0.39/0.91 (step @p356 :rule chain_m_resolution :premises (@p355 @p335 @p187) :args (@t161 @t183 (@list @t149 @t143))) % 0.39/0.91 (step @p233 :rule true_intro :premises (@p222)) % 0.39/0.91 (step @p234 :rule refl :args (tptp.nil)) % 0.39/0.91 (step @p235 :rule symm :premises (@p187)) % 0.39/0.91 (step @p236 :rule cong :premises (@p235 @p234) :args (@t147)) % 0.39/0.91 (step @p357 :rule trans :premises (@p236 @p233)) % 0.39/0.91 (step @p358 :rule true_elim :premises (@p357)) % 0.39/0.91 (step @p359 :rule aci_norm :args ((= (or @t162 @t148 @t208) (or @t162 @t148 @t207 @t194 @t206)))) % 0.39/0.91 (step @p360 :rule aci_norm :args ((= (or @t207 @t209) @t208))) % 0.39/0.91 (step @p361 :rule aci_norm :args ((= (or @t194 @t206 false) @t209))) % 0.39/0.91 (step @p362 :rule eq-refl :args (@t163)) % 0.39/0.91 (step @p363 :rule cong :premises (@p362) :args (@t210)) % 0.39/0.91 (step @p364 :rule trans :premises (@p363 @p199)) % 0.39/0.91 (step @p365 :rule refl :args (@t206)) % 0.39/0.91 (step @p366 :rule refl :args (@t194)) % 0.39/0.91 (step @p367 :rule nary_cong :premises (@p366 @p365 @p364) :args (@t211)) % 0.39/0.91 (step @p368 :rule trans :premises (@p367 @p361)) % 0.39/0.91 (step @p369 :rule quant-var-elim-eq :args ((= (forall @t215 @t214) @t211))) % 0.39/0.91 (step @p370 :rule aci_norm :args ((= @t216 @t214))) % 0.39/0.91 (step @p371 :rule cong :premises (@p370) :args (@t217)) % 0.39/0.91 (step @p372 :rule trans :premises (@p371 @p369)) % 0.39/0.91 (step @p373 :rule trans :premises (@p372 @p368)) % 0.39/0.91 (step @p374 :rule refl :args (@t207)) % 0.39/0.91 (step @p375 :rule nary_cong :premises (@p374 @p373) :args (@t218)) % 0.39/0.91 (step @p376 :rule trans :premises (@p375 @p360)) % 0.39/0.91 (step @p377 :rule quant-miniscope-or :args ((= (forall @t215 @t219) @t218))) % 0.39/0.91 (step @p378 :rule aci_norm :args ((= @t220 @t219))) % 0.39/0.91 (step @p379 :rule cong :premises (@p378) :args ((forall @t215 @t220))) % 0.39/0.91 (step @p380 :rule trans :premises (@p379 @p377)) % 0.39/0.91 (step @p381 :rule trans :premises (@p380 @p376)) % 0.39/0.91 (step @p382 :rule aci_norm :args ((= (or @t207 false @t157 @t213 @t212) @t220))) % 0.39/0.91 (step @p383 :rule refl :args (@t212)) % 0.39/0.91 (step @p384 :rule refl :args (@t213)) % 0.39/0.91 (step @p385 :rule refl :args (@t157)) % 0.39/0.91 (step @p386 :rule eq-refl :args (tptp.sk1)) % 0.39/0.91 (step @p387 :rule cong :premises (@p386) :args (@t221)) % 0.39/0.91 (step @p388 :rule trans :premises (@p387 @p199)) % 0.39/0.91 (step @p389 :rule nary_cong :premises (@p374 @p388 @p385 @p384 @p383) 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% 0.39/0.91 (step-pop @p575 :rule scope :premises (@p448)) % 0.39/0.91 (step-pop @p576 :rule scope :premises (@p575)) % 0.39/0.91 (step-pop @p577 :rule scope :premises (@p576)) % 0.39/0.91 (step @p449 :rule process_scope :premises (@p577) :args (@t237)) % 0.39/0.91 (step @p453 :rule and_intro :premises (@p571 @p188 @p187)) % 0.39/0.91 (step @p454 :rule modus_ponens :premises (@p453 @p449)) % 0.39/0.91 (step-pop @p578 :rule scope :premises (@p454)) % 0.39/0.91 (step-pop @p579 :rule scope :premises (@p578)) % 0.39/0.91 (step-pop @p580 :rule scope :premises (@p579)) % 0.39/0.91 (step @p455 :rule process_scope :premises (@p580) :args (@t237)) % 0.39/0.91 (step @p459 :rule implies_elim :premises (@p455)) % 0.39/0.91 (step @p460 :rule cnf_and_neg :args (@t239)) % 0.39/0.91 (step @p461 :rule resolution :premises (@p460 @p459) :args (true @t239)) % 0.39/0.91 (step @p462 :rule eq_resolve :premises (@p461 @p436)) % 0.39/0.91 (step @p463 :rule reordering :premises (@p462) :args ((or @t205 @t187 @t238 @t237))) % 0.39/0.91 (step @p464 :rule chain_m_resolution :premises (@p463 @p432 @p187 @p188) :args (@t237 (@list true false false) (@list @t205 @t143 @t144))) % 0.39/0.91 (step @p465 :rule aci_norm :args ((= (or @t150 @t148 @t243) (or @t150 @t148 @t242 @t236 @t240)))) % 0.39/0.91 (step @p466 :rule aci_norm :args ((= (or @t242 @t236 @t240 false) @t243))) % 0.39/0.91 (step @p467 :rule eq-refl :args (@t152)) % 0.39/0.91 (step @p468 :rule cong :premises (@p467) :args (@t244)) % 0.39/0.91 (step @p469 :rule trans :premises (@p468 @p199)) % 0.39/0.91 (step @p470 :rule refl :args (@t240)) % 0.39/0.91 (step @p471 :rule refl :args (@t236)) % 0.39/0.91 (step @p472 :rule refl :args (@t242)) % 0.39/0.91 (step @p473 :rule nary_cong :premises (@p472 @p471 @p470 @p469) :args (@t245)) % 0.39/0.91 (step @p474 :rule trans :premises (@p473 @p466)) % 0.39/0.91 (step @p475 :rule quant-var-elim-eq :args ((= (forall @t215 @t249) @t245))) % 0.39/0.91 (step @p476 :rule aci_norm :args ((= @t250 @t249))) % 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@t224 @t253) @t252))) % 0.39/0.91 (step @p492 :rule aci_norm :args ((= @t254 @t253))) % 0.39/0.91 (step @p493 :rule cong :premises (@p492) :args (@t255)) % 0.39/0.91 (step @p494 :rule trans :premises (@p493 @p491)) % 0.39/0.91 (step @p495 :rule cong :premises (@p494) :args (@t256)) % 0.39/0.91 (step @p496 :rule quant-merge-prenex :args ((= @t256 @t257))) % 0.39/0.91 (step @p497 :rule symm :premises (@p496)) % 0.39/0.91 (step @p498 :rule quant_var_reordering :args ((= @t258 @t257))) % 0.39/0.91 (step @p499 :rule trans :premises (@p498 @p497 @p495)) % 0.39/0.91 (step @p500 :rule trans :premises (@p499 @p490)) % 0.39/0.91 (step @p501 :rule refl :args (@t150)) % 0.39/0.91 (step @p502 :rule nary_cong :premises (@p501 @p412 @p500) :args (@t259)) % 0.39/0.91 (step @p503 :rule trans :premises (@p502 @p465)) % 0.39/0.91 (step @p504 :rule quant-miniscope-or :args ((= (forall @t160 @t260) @t259))) % 0.39/0.91 (step @p505 :rule aci_norm :args ((= @t261 @t260))) % 0.39/0.91 (step @p506 :rule cong :premises (@p505) :args ((forall @t160 @t261))) % 0.39/0.91 (step @p507 :rule trans :premises (@p506 @p504)) % 0.39/0.91 (step @p508 :rule trans :premises (@p507 @p503)) % 0.39/0.91 (step @p509 :rule eq-symm :args (@t152 @t151)) % 0.39/0.91 (step @p510 :rule cong :premises (@p509) :args (@t153)) % 0.39/0.91 (step @p511 :rule refl :args (@t158)) % 0.39/0.91 (step @p512 :rule nary_cong :premises (@p426 @p511 @p385 @p424 @p510 @p501 @p412) :args (@t166)) % 0.39/0.91 (step @p513 :rule cong :premises (@p512) :args (@t167)) % 0.39/0.91 (step @p514 :rule trans :premises (@p513 @p508)) % 0.39/0.91 (step @p515 :rule eq_resolve :premises (@p193 @p514)) % 0.39/0.91 (step @p516 :rule reordering :premises (@p515) :args ((or @t148 @t150 @t242 @t236 @t240))) % 0.39/0.91 (step @p517 :rule chain_m_resolution :premises (@p516 @p358 @p335 @p464 @p288) :args (@t242 @t203 (@list @t147 @t149 @t236 @t192))) % 0.39/0.91 (step @p518 :rule cnf_or_pos :args (@t262)) % 0.39/0.91 (step @p519 :rule reordering :premises (@p518) :args ((or @t195 @t241 @t240 @t263))) % 0.39/0.91 (step @p520 :rule chain_m_resolution :premises (@p519 @p8 @p517 @p288) :args (@t263 @t191 (@list @t1 @t241 @t192))) % 0.39/0.91 (assume-push @p581 @t61) % 0.39/0.91 (step @p522 :rule instantiate :premises (@p84) :args ((@list @t152 tptp.nil))) % 0.39/0.91 (step-pop @p582 :rule scope :premises (@p522)) % 0.39/0.91 (step @p523 :rule process_scope :premises (@p582) :args (@t262)) % 0.39/0.91 (step @p525 :rule implies_elim :premises (@p523)) % 0.39/0.91 (step @p526 false :rule chain_m_resolution :premises (@p525 @p520 @p84) :args (false (@list true false) (@list @t262 @t61))) % 0.39/0.91 ) % 0.39/0.92 % SZS output end Proof % 0.39/0.92 % cvc5 exiting %------------------------------------------------------------------------------