%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC310-1 : 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 : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:49 AM UTC 2026 % Result : Unsatisfiable 0.26s 0.44s % Output : Proof 0.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWC310-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 19:40:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.17/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.17/0.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.26/0.44 % SZS status Unsatisfiable % 0.26/0.44 % SZS output start Proof % 0.26/0.45 ( % 0.26/0.45 (declare-sort $$unsorted 0) % 0.26/0.45 (declare-const tptp.sk6 $$unsorted) % 0.26/0.45 (declare-const tptp.sk5 $$unsorted) % 0.26/0.45 (declare-const tptp.sk4 $$unsorted) % 0.26/0.45 (declare-const tptp.sk2 $$unsorted) % 0.26/0.45 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.26/0.45 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.26/0.45 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.26/0.45 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.26/0.45 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.26/0.45 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.26/0.45 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.26/0.45 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.26/0.45 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.26/0.45 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.26/0.45 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.26/0.45 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.26/0.45 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.26/0.45 (declare-const tptp.nil $$unsorted) % 0.26/0.45 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.26/0.45 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.26/0.46 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.26/0.46 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.sk1 $$unsorted) % 0.26/0.46 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.26/0.46 (declare-const tptp.skac2 $$unsorted) % 0.26/0.46 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.26/0.46 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.sk3 $$unsorted) % 0.26/0.46 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.26/0.46 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.26/0.46 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.26/0.46 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.26/0.46 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.26/0.46 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skac3 $$unsorted) % 0.26/0.46 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.26/0.46 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.26/0.46 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.26/0.46 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.26/0.46 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.26/0.46 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.26/0.46 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.26/0.46 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.26/0.46 (define @t1 () (tptp.ssList tptp.nil)) % 0.26/0.46 (define @t2 () (@var "U" $$unsorted)) % 0.26/0.46 (define @t3 () (tptp.skaf83 @t2)) % 0.26/0.46 (define @t4 () (@list @t2)) % 0.26/0.46 (define @t5 () (tptp.skaf82 @t2)) % 0.26/0.46 (define @t6 () (tptp.skaf81 @t2)) % 0.26/0.46 (define @t7 () (tptp.skaf80 @t2)) % 0.26/0.46 (define @t8 () (tptp.skaf79 @t2)) % 0.26/0.46 (define @t9 () (tptp.skaf78 @t2)) % 0.26/0.46 (define @t10 () (tptp.skaf77 @t2)) % 0.26/0.46 (define @t11 () (tptp.skaf76 @t2)) % 0.26/0.46 (define @t12 () (tptp.skaf75 @t2)) % 0.26/0.46 (define @t13 () (tptp.skaf74 @t2)) % 0.26/0.46 (define @t14 () (tptp.skaf73 @t2)) % 0.26/0.46 (define @t15 () (tptp.skaf72 @t2)) % 0.26/0.46 (define @t16 () (tptp.skaf71 @t2)) % 0.26/0.46 (define @t17 () (tptp.skaf70 @t2)) % 0.26/0.46 (define @t18 () (tptp.skaf69 @t2)) % 0.26/0.46 (define @t19 () (tptp.skaf68 @t2)) % 0.26/0.46 (define @t20 () (tptp.skaf67 @t2)) % 0.26/0.46 (define @t21 () (tptp.skaf66 @t2)) % 0.26/0.46 (define @t22 () (tptp.skaf65 @t2)) % 0.26/0.46 (define @t23 () (tptp.skaf64 @t2)) % 0.26/0.46 (define @t24 () (tptp.skaf63 @t2)) % 0.26/0.46 (define @t25 () (tptp.skaf62 @t2)) % 0.26/0.46 (define @t26 () (tptp.skaf61 @t2)) % 0.26/0.46 (define @t27 () (tptp.skaf60 @t2)) % 0.26/0.46 (define @t28 () (tptp.skaf59 @t2)) % 0.26/0.46 (define @t29 () (tptp.skaf58 @t2)) % 0.26/0.46 (define @t30 () (tptp.skaf57 @t2)) % 0.26/0.46 (define @t31 () (tptp.skaf56 @t2)) % 0.26/0.46 (define @t32 () (tptp.skaf55 @t2)) % 0.26/0.46 (define @t33 () (tptp.skaf54 @t2)) % 0.26/0.46 (define @t34 () (tptp.skaf53 @t2)) % 0.26/0.46 (define @t35 () (tptp.skaf52 @t2)) % 0.26/0.46 (define @t36 () (tptp.skaf51 @t2)) % 0.26/0.46 (define @t37 () (tptp.skaf50 @t2)) % 0.26/0.46 (define @t38 () (tptp.skaf49 @t2)) % 0.26/0.46 (define @t39 () (tptp.skaf44 @t2)) % 0.26/0.46 (define @t40 () (@var "V" $$unsorted)) % 0.26/0.46 (define @t41 () (@list @t2 @t40)) % 0.26/0.46 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.26/0.46 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.26/0.46 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.26/0.46 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.26/0.46 (define @t46 () (not (tptp.ssItem @t2))) % 0.26/0.46 (define @t47 () (not (tptp.ssList @t2))) % 0.26/0.46 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.26/0.46 (define @t49 () (tptp.ssItem @t40)) % 0.26/0.46 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.26/0.46 (define @t51 () (tptp.app tptp.nil @t2)) % 0.26/0.46 (define @t52 () (or @t47 (= @t51 @t2))) % 0.26/0.46 (define @t53 () (forall @t4 @t52)) % 0.26/0.46 (define @t54 () (= tptp.nil @t2)) % 0.26/0.46 (define @t55 () (tptp.tl @t2)) % 0.26/0.46 (define @t56 () (tptp.hd @t2)) % 0.26/0.46 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 0.26/0.46 (define @t58 () (not @t54)) % 0.26/0.46 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 0.26/0.46 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 0.26/0.46 (define @t61 () (tptp.app @t40 @t2)) % 0.26/0.46 (define @t62 () (not (tptp.ssList @t40))) % 0.26/0.46 (define @t63 () (tptp.cons @t2 @t40)) % 0.26/0.46 (define @t64 () (tptp.cyclefreeP @t2)) % 0.26/0.46 (define @t65 () (tptp.equalelemsP @t2)) % 0.26/0.46 (define @t66 () (tptp.strictorderedP @t2)) % 0.26/0.46 (define @t67 () (tptp.totalorderedP @t2)) % 0.26/0.46 (define @t68 () (tptp.strictorderP @t2)) % 0.26/0.46 (define @t69 () (tptp.totalorderP @t2)) % 0.26/0.46 (define @t70 () (tptp.tl @t63)) % 0.26/0.46 (define @t71 () (or @t46 @t62 (= @t70 @t40))) % 0.26/0.46 (define @t72 () (forall @t41 @t71)) % 0.26/0.46 (define @t73 () (tptp.hd @t63)) % 0.26/0.46 (define @t74 () (or @t46 @t62 (= @t73 @t2))) % 0.26/0.46 (define @t75 () (forall @t41 @t74)) % 0.26/0.46 (define @t76 () (not (= @t63 tptp.nil))) % 0.26/0.46 (define @t77 () (or @t76 @t46 @t62)) % 0.26/0.46 (define @t78 () (forall @t41 @t77)) % 0.26/0.46 (define @t79 () (= @t40 @t2)) % 0.26/0.46 (define @t80 () (tptp.neq @t40 @t2)) % 0.26/0.46 (define @t81 () (or @t47 @t62 @t80 @t79)) % 0.26/0.46 (define @t82 () (forall @t41 @t81)) % 0.26/0.46 (define @t83 () (not @t49)) % 0.26/0.46 (define @t84 () (tptp.leq @t2 @t40)) % 0.26/0.46 (define @t85 () (tptp.lt @t2 @t40)) % 0.26/0.46 (define @t86 () (not @t85)) % 0.26/0.46 (define @t87 () (tptp.lt @t40 @t2)) % 0.26/0.46 (define @t88 () (not (tptp.gt @t2 @t40))) % 0.26/0.46 (define @t89 () (tptp.gt @t40 @t2)) % 0.26/0.46 (define @t90 () (tptp.leq @t40 @t2)) % 0.26/0.46 (define @t91 () (not (tptp.geq @t2 @t40))) % 0.26/0.46 (define @t92 () (tptp.geq @t40 @t2)) % 0.26/0.46 (define @t93 () (not @t84)) % 0.26/0.46 (define @t94 () (= @t2 @t40)) % 0.26/0.46 (define @t95 () (not @t94)) % 0.26/0.46 (define @t96 () (tptp.cons @t40 @t2)) % 0.26/0.46 (define @t97 () (not (tptp.neq @t2 @t40))) % 0.26/0.46 (define @t98 () (or @t95 @t97 @t62 @t47)) % 0.26/0.46 (define @t99 () (forall @t41 @t98)) % 0.26/0.46 (define @t100 () (tptp.app @t2 @t40)) % 0.26/0.46 (define @t101 () (= @t100 tptp.nil)) % 0.26/0.46 (define @t102 () (not @t101)) % 0.26/0.46 (define @t103 () (= tptp.nil @t40)) % 0.26/0.46 (define @t104 () (tptp.hd @t40)) % 0.26/0.46 (define @t105 () (forall @t41 (or @t47 @t62 @t103 (= (tptp.hd @t61) @t104)))) % 0.26/0.46 (define @t106 () (tptp.strictorderedP @t40)) % 0.26/0.46 (define @t107 () (tptp.strictorderedP @t63)) % 0.26/0.46 (define @t108 () (not @t107)) % 0.26/0.46 (define @t109 () (tptp.totalorderedP @t40)) % 0.26/0.46 (define @t110 () (tptp.totalorderedP @t63)) % 0.26/0.46 (define @t111 () (not @t110)) % 0.26/0.46 (define @t112 () (not (tptp.segmentP @t2 @t40))) % 0.26/0.46 (define @t113 () (not (tptp.rearsegP @t2 @t40))) % 0.26/0.46 (define @t114 () (not (tptp.frontsegP @t2 @t40))) % 0.26/0.46 (define @t115 () (not @t90)) % 0.26/0.46 (define @t116 () (tptp.tl @t40)) % 0.26/0.46 (define @t117 () (tptp.lt @t2 @t104)) % 0.26/0.46 (define @t118 () (tptp.leq @t2 @t104)) % 0.26/0.46 (define @t119 () (@var "W" $$unsorted)) % 0.26/0.46 (define @t120 () (tptp.app @t119 @t2)) % 0.26/0.46 (define @t121 () (not (tptp.ssList @t119))) % 0.26/0.46 (define @t122 () (@list @t2 @t40 @t119)) % 0.26/0.46 (define @t123 () (tptp.app @t2 @t119)) % 0.26/0.46 (define @t124 () (tptp.cons @t40 @t119)) % 0.26/0.46 (define @t125 () (tptp.cons @t119 @t2)) % 0.26/0.46 (define @t126 () (not (tptp.ssItem @t119))) % 0.26/0.46 (define @t127 () (not (tptp.memberP @t2 @t40))) % 0.26/0.46 (define @t128 () (not (= @t100 @t119))) % 0.26/0.46 (define @t129 () (tptp.lt @t2 @t119)) % 0.26/0.46 (define @t130 () (not (tptp.lt @t40 @t119))) % 0.26/0.46 (define @t131 () (tptp.app @t119 @t40)) % 0.26/0.46 (define @t132 () (= @t40 @t119)) % 0.26/0.46 (define @t133 () (= @t2 @t119)) % 0.26/0.46 (define @t134 () (tptp.memberP @t40 @t119)) % 0.26/0.46 (define @t135 () (@var "X" $$unsorted)) % 0.26/0.46 (define @t136 () (not (tptp.ssList @t135))) % 0.26/0.46 (define @t137 () (tptp.cons @t119 @t135)) % 0.26/0.46 (define @t138 () (not (= @t63 @t137))) % 0.26/0.46 (define @t139 () (@list @t2 @t40 @t119 @t135)) % 0.26/0.46 (define @t140 () (not (tptp.frontsegP @t63 @t137))) % 0.26/0.46 (define @t141 () (tptp.app @t2 @t124)) % 0.26/0.46 (define @t142 () (not (tptp.ssItem @t135))) % 0.26/0.46 (define @t143 () (@var "Y" $$unsorted)) % 0.26/0.46 (define @t144 () (not (tptp.ssList @t143))) % 0.26/0.46 (define @t145 () (@list @t2 @t40 @t119 @t135 @t143)) % 0.26/0.46 (define @t146 () (tptp.lt @t40 @t135)) % 0.26/0.46 (define @t147 () (@var "Z" $$unsorted)) % 0.26/0.46 (define @t148 () (not (tptp.ssList @t147))) % 0.26/0.46 (define @t149 () (not (= (tptp.app @t141 (tptp.cons @t135 @t143)) @t147))) % 0.26/0.46 (define @t150 () (@list @t2 @t40 @t119 @t135 @t143 @t147)) % 0.26/0.46 (define @t151 () (tptp.leq @t40 @t135)) % 0.26/0.46 (define @t152 () (tptp.ssList tptp.sk1)) % 0.26/0.46 (define @t153 () (tptp.ssList tptp.sk2)) % 0.26/0.46 (define @t154 () (= tptp.sk2 tptp.sk4)) % 0.26/0.46 (define @t155 () (= tptp.sk1 tptp.sk3)) % 0.26/0.46 (define @t156 () (= tptp.nil tptp.sk4)) % 0.26/0.46 (define @t157 () (= tptp.nil tptp.sk3)) % 0.26/0.46 (define @t158 () (tptp.neq tptp.sk4 tptp.nil)) % 0.26/0.46 (define @t159 () (not @t158)) % 0.26/0.46 (define @t160 () (tptp.ssItem tptp.sk5)) % 0.26/0.46 (define @t161 () (tptp.ssList tptp.sk6)) % 0.26/0.46 (define @t162 () (tptp.cons tptp.sk5 tptp.nil)) % 0.26/0.46 (define @t163 () (tptp.app @t162 tptp.sk6)) % 0.26/0.46 (define @t164 () (or (= @t163 tptp.sk4) @t159)) % 0.26/0.46 (define @t165 () (tptp.app tptp.sk6 @t162)) % 0.26/0.46 (define @t166 () (or (= @t165 tptp.sk3) @t159)) % 0.26/0.46 (define @t167 () (tptp.neq tptp.sk2 tptp.nil)) % 0.26/0.46 (define @t168 () (= tptp.nil tptp.sk2)) % 0.26/0.46 (define @t169 () (tptp.neq tptp.nil tptp.sk2)) % 0.26/0.46 (define @t170 () (not @t169)) % 0.26/0.46 (define @t171 () (@var "D" $$unsorted)) % 0.26/0.46 (define @t172 () (tptp.hd tptp.sk2)) % 0.26/0.46 (define @t173 () (not (= @t172 @t171))) % 0.26/0.46 (define @t174 () (@var "C" $$unsorted)) % 0.26/0.46 (define @t175 () (tptp.cons @t171 tptp.nil)) % 0.26/0.46 (define @t176 () (not (= @t175 @t174))) % 0.26/0.46 (define @t177 () (not (tptp.ssItem @t171))) % 0.26/0.46 (define @t178 () (@var "A" $$unsorted)) % 0.26/0.46 (define @t179 () (@var "B" $$unsorted)) % 0.26/0.46 (define @t180 () (tptp.app @t179 @t174)) % 0.26/0.46 (define @t181 () (not (= @t180 @t178))) % 0.26/0.46 (define @t182 () (tptp.tl tptp.sk2)) % 0.26/0.46 (define @t183 () (not (= @t182 @t179))) % 0.26/0.46 (define @t184 () (not (tptp.ssList @t174))) % 0.26/0.46 (define @t185 () (not (tptp.ssList @t179))) % 0.26/0.46 (define @t186 () (not (= tptp.sk1 @t178))) % 0.26/0.46 (define @t187 () (not (tptp.ssList @t178))) % 0.26/0.46 (define @t188 () (or @t168 @t187 @t186 @t185 @t184 @t183 @t181 @t177 @t176 @t173 @t170 @t170)) % 0.26/0.46 (define @t189 () (@list @t178 @t179 @t174 @t171)) % 0.26/0.46 (define @t190 () (forall @t189 @t188)) % 0.26/0.46 (define @t191 () (= tptp.nil tptp.sk1)) % 0.26/0.46 (define @t192 () (not @t191)) % 0.26/0.46 (define @t193 () (not (tptp.neq @t40 @t40))) % 0.26/0.46 (define @t194 () (not (= @t40 @t40))) % 0.26/0.46 (define @t195 () (or @t194 @t193 @t62 @t62)) % 0.26/0.46 (define @t196 () (@list @t40)) % 0.26/0.46 (define @t197 () (or @t95 @t95 @t97 @t62 @t47)) % 0.26/0.46 (define @t198 () (forall @t4 @t98)) % 0.26/0.46 (define @t199 () (forall @t196 @t198)) % 0.26/0.46 (define @t200 () (forall (@list @t40 @t2) @t98)) % 0.26/0.46 (define @t201 () (not @t153)) % 0.26/0.46 (define @t202 () (tptp.neq tptp.sk2 tptp.sk2)) % 0.26/0.46 (define @t203 () (not @t202)) % 0.26/0.46 (define @t204 () (or @t203 @t201)) % 0.26/0.46 (define @t205 () (@list false false)) % 0.26/0.46 (define @t206 () (and @t154 @t168)) % 0.26/0.46 (define @t207 () (not @t168)) % 0.26/0.46 (define @t208 () (not @t154)) % 0.26/0.46 (define @t209 () (not @t157)) % 0.26/0.46 (define @t210 () (not @t155)) % 0.26/0.46 (define @t211 () (and @t155 @t192)) % 0.26/0.46 (define @t212 () (not @t1)) % 0.26/0.46 (define @t213 () (or @t201 @t212 @t169 (= tptp.sk2 tptp.nil))) % 0.26/0.46 (define @t214 () (forall @t41 (or @t47 @t62 @t80 @t94))) % 0.26/0.46 (define @t215 () (or @t201 @t212 @t169 @t168)) % 0.26/0.46 (define @t216 () (@list false)) % 0.26/0.46 (define @t217 () (tptp.hd @t163)) % 0.26/0.46 (define @t218 () (tptp.hd @t162)) % 0.26/0.46 (define @t219 () (= tptp.nil @t162)) % 0.26/0.46 (define @t220 () (tptp.ssList @t162)) % 0.26/0.46 (define @t221 () (not @t220)) % 0.26/0.46 (define @t222 () (not @t161)) % 0.26/0.46 (define @t223 () (or @t222 @t221 @t219 (= @t217 @t218))) % 0.26/0.46 (define @t224 () (@list tptp.sk6 @t162)) % 0.26/0.46 (define @t225 () (= @t218 @t217)) % 0.26/0.46 (define @t226 () (or @t222 @t221 @t219 @t225)) % 0.26/0.46 (define @t227 () (@list tptp.sk5 tptp.nil)) % 0.26/0.46 (define @t228 () (not @t167)) % 0.26/0.46 (define @t229 () (and @t154 @t159)) % 0.26/0.46 (define @t230 () (@list @t158)) % 0.26/0.46 (define @t231 () (not @t160)) % 0.26/0.46 (define @t232 () (or @t231 @t212 @t220)) % 0.26/0.46 (define @t233 () (@list false false false)) % 0.26/0.46 (define @t234 () (not @t219)) % 0.26/0.46 (define @t235 () (or @t234 @t231 @t212)) % 0.26/0.46 (define @t236 () (@list false true false false)) % 0.26/0.46 (define @t237 () (= tptp.sk5 @t218)) % 0.26/0.46 (define @t238 () (or @t231 @t212 @t237)) % 0.26/0.46 (define @t239 () (= tptp.sk4 @t163)) % 0.26/0.46 (define @t240 () (tptp.ssItem @t172)) % 0.26/0.46 (define @t241 () (and @t154 @t160 @t239 @t237 @t225)) % 0.26/0.46 (define @t242 () (not @t225)) % 0.26/0.46 (define @t243 () (not @t237)) % 0.26/0.46 (define @t244 () (not @t239)) % 0.26/0.46 (define @t245 () (@list false false false false false)) % 0.26/0.46 (define @t246 () (tptp.tl @t162)) % 0.26/0.46 (define @t247 () (tptp.app @t246 tptp.sk6)) % 0.26/0.46 (define @t248 () (tptp.tl @t163)) % 0.26/0.46 (define @t249 () (= @t248 @t247)) % 0.26/0.46 (define @t250 () (or @t222 @t221 @t219 @t249)) % 0.26/0.46 (define @t251 () (= tptp.nil @t246)) % 0.26/0.46 (define @t252 () (or @t231 @t212 @t251)) % 0.26/0.46 (define @t253 () (tptp.app tptp.nil tptp.sk6)) % 0.26/0.46 (define @t254 () (= tptp.sk6 @t253)) % 0.26/0.46 (define @t255 () (or @t222 @t254)) % 0.26/0.46 (define @t256 () (= tptp.sk3 @t165)) % 0.26/0.46 (define @t257 () (tptp.cons @t172 tptp.nil)) % 0.26/0.46 (define @t258 () (= tptp.sk1 (tptp.app @t182 @t257))) % 0.26/0.46 (define @t259 () (and @t154 @t155 @t239 @t256 @t254 @t251 @t237 @t225 @t249)) % 0.26/0.46 (define @t260 () (not @t249)) % 0.26/0.46 (define @t261 () (not @t251)) % 0.26/0.46 (define @t262 () (not @t254)) % 0.26/0.46 (define @t263 () (@list false false false false false false false false false)) % 0.26/0.46 (define @t264 () (tptp.ssList @t257)) % 0.26/0.46 (define @t265 () (and @t154 @t239 @t220 @t237 @t225)) % 0.26/0.46 (define @t266 () (tptp.ssList @t182)) % 0.26/0.46 (define @t267 () (and @t154 @t161 @t239 @t254 @t251 @t249)) % 0.26/0.46 (define @t268 () (not @t240)) % 0.26/0.46 (define @t269 () (not @t258)) % 0.26/0.46 (define @t270 () (not @t264)) % 0.26/0.46 (define @t271 () (not @t266)) % 0.26/0.46 (define @t272 () (not @t152)) % 0.26/0.46 (define @t273 () (or @t272 @t271 @t270 @t269 @t268)) % 0.26/0.46 (define @t274 () (or @t271 @t270 @t269 @t268)) % 0.26/0.46 (define @t275 () (or @t270 @t269 @t268)) % 0.26/0.46 (define @t276 () (not (= @t172 @t172))) % 0.26/0.46 (define @t277 () (or @t270 @t269 @t268 @t276)) % 0.26/0.46 (define @t278 () (not (= @t171 @t172))) % 0.26/0.46 (define @t279 () (not (= tptp.sk1 (tptp.app @t182 @t175)))) % 0.26/0.46 (define @t280 () (not (tptp.ssList @t175))) % 0.26/0.46 (define @t281 () (or @t278 @t280 @t279 @t177 @t278)) % 0.26/0.46 (define @t282 () (@list @t171)) % 0.26/0.46 (define @t283 () (or @t280 @t279 @t177 @t278)) % 0.26/0.46 (define @t284 () (not (= @t175 @t175))) % 0.26/0.46 (define @t285 () (or @t280 @t279 @t177 @t284 @t278)) % 0.26/0.46 (define @t286 () (not (= @t174 @t175))) % 0.26/0.46 (define @t287 () (not (= tptp.sk1 (tptp.app @t182 @t174)))) % 0.26/0.46 (define @t288 () (or @t286 @t184 @t287 @t177 @t286 @t278)) % 0.26/0.46 (define @t289 () (@list @t174)) % 0.26/0.46 (define @t290 () (or @t184 @t287 @t177 @t286 @t278)) % 0.26/0.46 (define @t291 () (forall @t289 @t290)) % 0.26/0.46 (define @t292 () (forall @t282 @t291)) % 0.26/0.46 (define @t293 () (forall (@list @t171 @t174) @t290)) % 0.26/0.46 (define @t294 () (@list @t174 @t171)) % 0.26/0.46 (define @t295 () (forall @t294 @t290)) % 0.26/0.46 (define @t296 () (or @t271 @t295)) % 0.26/0.46 (define @t297 () (or @t271 @t290)) % 0.26/0.46 (define @t298 () (or @t271 @t184 @t287 @t177 @t286 @t278)) % 0.26/0.46 (define @t299 () (not (= @t182 @t182))) % 0.26/0.46 (define @t300 () (or @t271 @t299 @t184 @t287 @t177 @t286 @t278)) % 0.26/0.46 (define @t301 () (not (= tptp.sk1 @t180))) % 0.26/0.46 (define @t302 () (not (= @t179 @t182))) % 0.26/0.46 (define @t303 () (or @t302 @t185 @t302 @t184 @t301 @t177 @t286 @t278)) % 0.26/0.46 (define @t304 () (@list @t179)) % 0.26/0.46 (define @t305 () (or @t185 @t302 @t184 @t301 @t177 @t286 @t278)) % 0.26/0.46 (define @t306 () (forall @t304 @t305)) % 0.26/0.46 (define @t307 () (forall @t294 @t306)) % 0.26/0.46 (define @t308 () (forall (@list @t174 @t171 @t179) @t305)) % 0.26/0.46 (define @t309 () (@list @t179 @t174 @t171)) % 0.26/0.46 (define @t310 () (forall @t309 @t305)) % 0.26/0.46 (define @t311 () (or @t272 @t310)) % 0.26/0.46 (define @t312 () (or @t272 @t305)) % 0.26/0.46 (define @t313 () (or @t272 @t185 @t302 @t184 @t301 @t177 @t286 @t278)) % 0.26/0.46 (define @t314 () (not (= tptp.sk1 tptp.sk1))) % 0.26/0.46 (define @t315 () (or @t272 @t314 @t185 @t302 @t184 @t301 @t177 @t286 @t278)) % 0.26/0.46 (define @t316 () (not (= @t178 @t180))) % 0.26/0.46 (define @t317 () (@list @t178)) % 0.26/0.46 (define @t318 () (or @t186 @t187 @t186 @t185 @t302 @t184 @t316 @t177 @t286 @t278)) % 0.26/0.46 (define @t319 () (or @t187 @t186 @t185 @t302 @t184 @t316 @t177 @t286 @t278)) % 0.26/0.46 (define @t320 () (forall @t317 @t319)) % 0.26/0.46 (define @t321 () (forall @t309 @t320)) % 0.26/0.46 (define @t322 () (forall (@list @t179 @t174 @t171 @t178) @t319)) % 0.26/0.46 (define @t323 () (forall @t189 @t319)) % 0.26/0.46 (define @t324 () (or @t168 @t170 @t323)) % 0.26/0.46 (define @t325 () (or @t168 @t170 @t319)) % 0.26/0.46 (define @t326 () (or @t168 @t187 @t186 @t185 @t184 @t302 @t316 @t177 @t286 @t278 @t170)) % 0.26/0.46 (define @t327 () (or @t168 @t187 @t186 @t185 @t184 @t302 @t316 @t177 @t286 @t278 @t170 @t170)) % 0.26/0.46 (define @t328 () (and @t203 @t168 @t167)) % 0.26/0.46 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.26/0.46 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.26/0.46 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.26/0.46 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.26/0.46 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.26/0.46 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.26/0.46 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.26/0.46 (assume @p8 @t1) % 0.26/0.46 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.26/0.46 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.26/0.46 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.26/0.46 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.26/0.46 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.26/0.46 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.26/0.46 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.26/0.46 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.26/0.46 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.26/0.46 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.26/0.46 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.26/0.46 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.26/0.46 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.26/0.46 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.26/0.46 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.26/0.46 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.26/0.46 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.26/0.46 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.26/0.46 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.26/0.46 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.26/0.46 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.26/0.46 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.26/0.46 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.26/0.46 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.26/0.46 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.26/0.46 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.26/0.46 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.26/0.46 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.26/0.46 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.26/0.46 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.26/0.46 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.26/0.46 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.26/0.46 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.26/0.46 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.26/0.46 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.26/0.46 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.26/0.46 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.26/0.46 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.26/0.46 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.26/0.46 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.26/0.46 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.26/0.46 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.26/0.46 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.26/0.46 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.26/0.46 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.26/0.46 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.26/0.46 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.26/0.46 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.26/0.46 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.26/0.46 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.26/0.46 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.26/0.46 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.26/0.46 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.26/0.46 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.26/0.46 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.26/0.46 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.26/0.46 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.26/0.46 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.26/0.46 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.26/0.46 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.26/0.46 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.26/0.46 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.26/0.46 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.26/0.46 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.26/0.46 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.26/0.46 (assume @p74 @t53) % 0.26/0.46 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 0.26/0.46 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 0.26/0.46 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 0.26/0.46 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 0.26/0.46 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 0.26/0.46 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 0.26/0.46 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 0.26/0.46 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 0.26/0.46 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 0.26/0.46 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 0.26/0.46 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 0.26/0.46 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 0.26/0.46 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 0.26/0.46 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 0.26/0.46 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 0.26/0.46 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 0.26/0.46 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 0.26/0.46 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 0.26/0.46 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 0.26/0.46 (assume @p94 @t72) % 0.26/0.46 (assume @p95 @t75) % 0.26/0.46 (assume @p96 @t78) % 0.26/0.46 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 0.26/0.46 (assume @p98 @t82) % 0.26/0.46 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.26/0.46 (assume @p100 (forall @t41 (or @t46 @t83 @t80 @t79))) % 0.26/0.46 (assume @p101 (forall @t41 (or @t86 @t83 @t46 @t84))) % 0.26/0.46 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 0.26/0.46 (assume @p103 (forall @t41 (or @t88 @t83 @t46 @t87))) % 0.26/0.46 (assume @p104 (forall @t41 (or @t86 @t46 @t83 @t89))) % 0.26/0.46 (assume @p105 (forall @t41 (or @t91 @t83 @t46 @t90))) % 0.26/0.46 (assume @p106 (forall @t41 (or @t93 @t46 @t83 @t92))) % 0.26/0.46 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 0.26/0.46 (assume @p108 (forall @t41 (or @t88 (not @t89) @t46 @t83))) % 0.26/0.46 (assume @p109 (forall @t41 (or @t95 @t86 @t83 @t46))) % 0.26/0.46 (assume @p110 (forall @t41 (or @t58 @t47 @t83 (tptp.strictorderedP @t96)))) % 0.26/0.46 (assume @p111 (forall @t41 (or @t58 @t47 @t83 (tptp.totalorderedP @t96)))) % 0.26/0.46 (assume @p112 (forall @t41 (or @t86 (not @t87) @t46 @t83))) % 0.26/0.46 (assume @p113 @t99) % 0.26/0.46 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 0.26/0.46 (assume @p115 (forall @t41 (or @t95 @t97 @t83 @t46))) % 0.26/0.46 (assume @p116 (forall @t41 (or @t102 @t62 @t47 @t54))) % 0.26/0.46 (assume @p117 (forall @t41 (or @t102 @t62 @t47 @t103))) % 0.26/0.46 (assume @p118 (forall @t41 (or @t46 @t62 (= (tptp.app @t48 @t40) @t63)))) % 0.26/0.46 (assume @p119 (forall @t41 (or @t93 @t83 @t46 @t85 @t94))) % 0.26/0.46 (assume @p120 @t105) % 0.26/0.46 (assume @p121 (forall @t41 (or @t108 @t62 @t46 @t106 @t103))) % 0.26/0.46 (assume @p122 (forall @t41 (or @t111 @t62 @t46 @t109 @t103))) % 0.26/0.46 (assume @p123 (forall @t41 (or @t91 (not @t92) @t46 @t83 @t79))) % 0.26/0.46 (assume @p124 (forall @t41 (or @t112 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t79))) % 0.26/0.46 (assume @p125 (forall @t41 (or @t113 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t79))) % 0.26/0.46 (assume @p126 (forall @t41 (or @t114 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t79))) % 0.26/0.46 (assume @p127 (forall @t41 (or @t93 @t115 @t46 @t83 @t79))) % 0.26/0.46 (assume @p128 (forall @t41 (or @t113 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.26/0.46 (assume @p129 (forall @t41 (or @t114 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.26/0.46 (assume @p130 (forall @t41 (or @t47 @t62 @t103 (= (tptp.tl @t61) (tptp.app @t116 @t2))))) % 0.26/0.46 (assume @p131 (forall @t41 (or @t108 @t62 @t46 @t117 @t103))) % 0.26/0.46 (assume @p132 (forall @t41 (or @t111 @t62 @t46 @t118 @t103))) % 0.26/0.46 (assume @p133 (forall @t122 (or @t113 @t121 @t62 @t47 (tptp.rearsegP @t120 @t40)))) % 0.26/0.46 (assume @p134 (forall @t122 (or @t114 @t121 @t62 @t47 (tptp.frontsegP @t123 @t40)))) % 0.26/0.46 (assume @p135 (forall @t122 (or @t95 @t121 @t83 @t46 (tptp.memberP @t124 @t2)))) % 0.26/0.46 (assume @p136 (forall @t122 (or @t127 @t47 @t126 @t83 (tptp.memberP @t125 @t40)))) % 0.26/0.46 (assume @p137 (forall @t122 (or @t127 @t121 @t47 @t83 (tptp.memberP @t123 @t40)))) % 0.26/0.46 (assume @p138 (forall @t122 (or @t127 @t47 @t121 @t83 (tptp.memberP @t120 @t40)))) % 0.26/0.46 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.26/0.46 (assume @p140 (forall @t122 (or @t128 @t47 @t62 @t121 (tptp.rearsegP @t119 @t40)))) % 0.26/0.46 (assume @p141 (forall @t122 (or @t128 @t62 @t47 @t121 (tptp.frontsegP @t119 @t2)))) % 0.26/0.46 (assume @p142 (forall @t41 (or @t58 (not @t103) @t62 @t47 @t101))) % 0.26/0.46 (assume @p143 (forall @t122 (or @t88 (not (tptp.gt @t40 @t119)) @t126 @t83 @t46 (tptp.gt @t2 @t119)))) % 0.26/0.46 (assume @p144 (forall @t122 (or @t93 @t130 @t126 @t83 @t46 @t129))) % 0.26/0.46 (assume @p145 (forall @t122 (or @t91 (not (tptp.geq @t40 @t119)) @t126 @t83 @t46 (tptp.geq @t2 @t119)))) % 0.26/0.46 (assume @p146 (forall @t122 (or @t47 @t62 @t121 (= (tptp.app @t131 @t2) (tptp.app @t119 @t61))))) % 0.26/0.46 (assume @p147 (forall @t122 (or (not (= @t100 @t123)) @t62 @t47 @t121 @t132))) % 0.26/0.46 (assume @p148 (forall @t122 (or (not (= @t100 @t131)) @t47 @t62 @t121 @t133))) % 0.26/0.46 (assume @p149 (forall @t122 (or @t112 (not (tptp.segmentP @t40 @t119)) @t121 @t62 @t47 (tptp.segmentP @t2 @t119)))) % 0.26/0.46 (assume @p150 (forall @t122 (or @t113 (not (tptp.rearsegP @t40 @t119)) @t121 @t62 @t47 (tptp.rearsegP @t2 @t119)))) % 0.26/0.46 (assume @p151 (forall @t122 (or @t114 (not (tptp.frontsegP @t40 @t119)) @t121 @t62 @t47 (tptp.frontsegP @t2 @t119)))) % 0.26/0.46 (assume @p152 (forall @t122 (or @t86 @t130 @t126 @t83 @t46 @t129))) % 0.26/0.46 (assume @p153 (forall @t122 (or @t93 (not (tptp.leq @t40 @t119)) @t126 @t83 @t46 (tptp.leq @t2 @t119)))) % 0.26/0.46 (assume @p154 (forall @t122 (or @t46 @t62 @t121 (= (tptp.cons @t2 (tptp.app @t40 @t119)) (tptp.app @t63 @t119))))) % 0.26/0.46 (assume @p155 (forall @t122 (or (not (tptp.memberP @t100 @t119)) @t62 @t47 @t126 @t134 (tptp.memberP @t2 @t119)))) % 0.26/0.46 (assume @p156 (forall @t41 (or (not @t118) (not @t109) @t62 @t46 @t110 @t103))) % 0.26/0.46 (assume @p157 (forall @t41 (or (not @t117) (not @t106) @t62 @t46 @t107 @t103))) % 0.26/0.46 (assume @p158 (forall @t122 (or (not (tptp.memberP @t63 @t119)) @t62 @t46 @t126 @t134 (= @t119 @t2)))) % 0.26/0.46 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.26/0.46 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.26/0.46 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.26/0.46 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.26/0.46 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.26/0.46 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.26/0.46 (assume @p165 (forall @t41 (or @t112 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.26/0.46 (assume @p166 (forall @t41 (or @t127 @t83 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.26/0.46 (assume @p167 (forall @t139 (or @t138 @t126 @t46 @t136 @t62 @t133))) % 0.26/0.46 (assume @p168 (forall @t139 (or @t138 @t126 @t46 @t136 @t62 (= @t135 @t40)))) % 0.26/0.46 (assume @p169 (forall @t139 (or @t112 @t121 @t136 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t135 @t2) @t119) @t40)))) % 0.26/0.46 (assume @p170 (forall @t139 (or (not (= (tptp.app @t100 @t119) @t135)) @t121 @t47 @t62 @t136 (tptp.segmentP @t135 @t40)))) % 0.26/0.46 (assume @p171 (forall @t139 (or @t140 @t136 @t62 @t126 @t46 (tptp.frontsegP @t40 @t135)))) % 0.26/0.46 (assume @p172 (forall @t139 (or (not (= @t141 @t135)) @t121 @t47 @t83 @t136 (tptp.memberP @t135 @t40)))) % 0.26/0.46 (assume @p173 (forall @t139 (or @t140 @t136 @t62 @t126 @t46 @t133))) % 0.26/0.46 (assume @p174 (forall @t41 (or (not (= @t55 @t116)) (not (= @t56 @t104)) @t47 @t62 @t103 @t94 @t54))) % 0.26/0.46 (assume @p175 (forall @t139 (or @t114 (not (= @t119 @t135)) @t62 @t47 @t142 @t126 (tptp.frontsegP @t125 (tptp.cons @t135 @t40))))) % 0.26/0.46 (assume @p176 (forall @t145 (or (not (= (tptp.app @t141 (tptp.cons @t40 @t135)) @t143)) @t136 @t121 @t47 @t83 (not (tptp.duplicatefreeP @t143)) @t144))) % 0.26/0.46 (assume @p177 (forall @t145 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t137)) @t143)) @t136 @t47 @t126 @t83 (not (tptp.equalelemsP @t143)) @t144 @t132))) % 0.26/0.46 (assume @p178 (forall @t150 (or @t149 @t144 @t121 @t47 @t142 @t83 (not (tptp.strictorderedP @t147)) @t148 @t146))) % 0.26/0.46 (assume @p179 (forall @t150 (or @t149 @t144 @t121 @t47 @t142 @t83 (not (tptp.totalorderedP @t147)) @t148 @t151))) % 0.26/0.46 (assume @p180 (forall @t150 (or @t149 @t144 @t121 @t47 @t142 @t83 (not (tptp.strictorderP @t147)) @t148 @t146 (tptp.lt @t135 @t40)))) % 0.26/0.46 (assume @p181 (forall @t150 (or @t149 @t144 @t121 @t47 @t142 @t83 (not (tptp.totalorderP @t147)) @t148 @t151 (tptp.leq @t135 @t40)))) % 0.26/0.46 (assume @p182 (forall @t150 (or @t93 @t115 (not (= (tptp.app (tptp.app @t119 (tptp.cons @t2 @t135)) (tptp.cons @t40 @t143)) @t147)) @t144 @t136 @t121 @t83 @t46 (not (tptp.cyclefreeP @t147)) @t148))) % 0.26/0.46 (assume @p183 @t152) % 0.26/0.46 (assume @p184 @t153) % 0.26/0.46 (assume @p185 (tptp.ssList tptp.sk3)) % 0.26/0.46 (assume @p186 (tptp.ssList tptp.sk4)) % 0.26/0.46 (assume @p187 @t154) % 0.26/0.46 (assume @p188 @t155) % 0.26/0.46 (assume @p189 (or @t157 (not @t156))) % 0.26/0.46 (assume @p190 (or @t160 @t159)) % 0.26/0.46 (assume @p191 (or @t161 @t159)) % 0.26/0.46 (assume @p192 @t164) % 0.26/0.46 (assume @p193 @t166) % 0.26/0.46 (assume @p194 (or @t168 @t167)) % 0.26/0.46 (assume @p195 @t190) % 0.26/0.46 (assume @p196 (or @t192 @t167)) % 0.26/0.46 (assume @p197 (forall @t189 (or @t192 @t187 @t186 @t185 @t184 @t183 @t181 @t177 @t176 @t173 @t170 @t170))) % 0.26/0.46 (step @p198 :rule aci_norm :args ((= (or false @t193 @t62 @t62) (or @t193 @t62)))) % 0.26/0.46 (step @p199 :rule refl :args (@t62)) % 0.26/0.46 (step @p200 :rule refl :args (@t193)) % 0.26/0.46 (step @p201 :rule evaluate :args ((not true))) % 0.26/0.46 (step @p202 :rule eq-refl :args (@t40)) % 0.26/0.46 (step @p203 :rule cong :premises (@p202) :args (@t194)) % 0.26/0.46 (step @p204 :rule trans :premises (@p203 @p201)) % 0.26/0.46 (step @p205 :rule nary_cong :premises (@p204 @p200 @p199 @p199) :args (@t195)) % 0.26/0.46 (step @p206 :rule trans :premises (@p205 @p198)) % 0.26/0.46 (step @p207 :rule cong :premises (@p206) :args ((forall @t196 @t195))) % 0.26/0.46 (step @p208 :rule quant-var-elim-eq :args ((= (forall @t4 @t197) @t195))) % 0.26/0.46 (step @p209 :rule aci_norm :args ((= @t98 @t197))) % 0.26/0.46 (step @p210 :rule cong :premises (@p209) :args (@t198)) % 0.26/0.46 (step @p211 :rule trans :premises (@p210 @p208)) % 0.26/0.46 (step @p212 :rule cong :premises (@p211) :args (@t199)) % 0.26/0.46 (step @p213 :rule quant-merge-prenex :args ((= @t199 @t200))) % 0.26/0.46 (step @p214 :rule symm :premises (@p213)) % 0.26/0.46 (step @p215 :rule quant_var_reordering :args ((= @t99 @t200))) % 0.26/0.46 (step @p216 :rule trans :premises (@p215 @p214 @p212)) % 0.26/0.46 (step @p217 :rule trans :premises (@p216 @p207)) % 0.26/0.46 (step @p218 :rule eq_resolve :premises (@p113 @p217)) % 0.26/0.46 (step @p219 :rule instantiate :premises (@p218) :args ((@list tptp.sk2))) % 0.26/0.46 (step @p220 :rule cnf_or_pos :args (@t204)) % 0.26/0.46 (step @p221 :rule reordering :premises (@p220) :args ((or @t201 @t203 (not @t204)))) % 0.26/0.46 (step @p222 :rule chain_m_resolution :premises (@p221 @p184 @p219) :args (@t203 @t205 (@list @t153 @t204))) % 0.26/0.46 (step @p223 :rule reordering :premises (@p196) :args ((or @t167 @t192))) % 0.26/0.46 (assume-push @p736 @t154) % 0.26/0.46 (assume-push @p737 @t168) % 0.26/0.46 (assume-push @p738 @t154) % 0.26/0.46 (assume-push @p739 @t168) % 0.26/0.46 (step @p228 :rule trans :premises (@p737 @p187)) % 0.26/0.46 (step-pop @p740 :rule scope :premises (@p228)) % 0.26/0.46 (step-pop @p741 :rule scope :premises (@p740)) % 0.26/0.46 (step @p229 :rule process_scope :premises (@p741) :args (@t156)) % 0.26/0.46 (step @p232 :rule and_intro :premises (@p187 @p737)) % 0.26/0.46 (step @p233 :rule modus_ponens :premises (@p232 @p229)) % 0.26/0.46 (step-pop @p742 :rule scope :premises (@p233)) % 0.26/0.46 (step-pop @p743 :rule scope :premises (@p742)) % 0.26/0.46 (step @p234 :rule process_scope :premises (@p743) :args (@t156)) % 0.26/0.46 (step @p237 :rule implies_elim :premises (@p234)) % 0.26/0.46 (step @p238 :rule cnf_and_neg :args (@t206)) % 0.26/0.46 (step @p239 :rule resolution :premises (@p238 @p237) :args (true @t206)) % 0.26/0.46 (step @p240 :rule reordering :premises (@p239) :args ((or @t156 @t208 @t207))) % 0.26/0.46 (step @p241 :rule refl :args (@t209)) % 0.26/0.46 (step @p242 :rule bool-double-not-elim :args (@t191)) % 0.26/0.46 (step @p243 :rule refl :args (@t210)) % 0.26/0.46 (step @p244 :rule nary_cong :premises (@p243 @p242 @p241) :args ((or @t210 (not @t192) @t209))) % 0.26/0.46 (assume-push @p744 @t155) % 0.26/0.46 (assume-push @p745 @t192) % 0.26/0.46 (assume-push @p746 @t192) % 0.26/0.46 (assume-push @p747 @t155) % 0.26/0.46 (step @p249 :rule false_intro :premises (@p745)) % 0.26/0.46 (step @p250 :rule symm :premises (@p188)) % 0.26/0.46 (step @p251 :rule refl :args (tptp.nil)) % 0.26/0.46 (step @p252 :rule cong :premises (@p251 @p250) :args 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:args (@t264)) % 0.26/0.46 (step @p520 :rule implies_elim :premises (@p514)) % 0.26/0.46 (step @p521 :rule cnf_and_neg :args (@t265)) % 0.26/0.46 (step @p522 :rule resolution :premises (@p521 @p520) :args (true @t265)) % 0.26/0.46 (step @p523 :rule reordering :premises (@p522) :args ((or @t264 @t208 @t244 @t221 @t243 @t242))) % 0.26/0.46 (step @p524 :rule chain_m_resolution :premises (@p523 @p187 @p364 @p335 @p358 @p350) :args (@t264 @t245 (@list @t154 @t239 @t220 @t237 @t225))) % 0.26/0.46 (assume-push @p840 @t154) % 0.26/0.46 (assume-push @p841 @t161) % 0.26/0.46 (assume-push @p842 @t239) % 0.26/0.46 (assume-push @p843 @t254) % 0.26/0.46 (assume-push @p844 @t251) % 0.26/0.46 (assume-push @p845 @t249) % 0.26/0.46 (assume-push @p846 @t161) % 0.26/0.46 (assume-push @p847 @t254) % 0.26/0.46 (assume-push @p848 @t251) % 0.26/0.46 (assume-push @p849 @t249) % 0.26/0.46 (assume-push @p850 @t239) % 0.26/0.46 (assume-push @p851 @t154) % 0.26/0.46 (step @p537 :rule true_intro :premises (@p841)) % 0.26/0.46 (step @p538 :rule symm :premises (@p843)) % 0.26/0.46 (step @p454 :rule refl :args (tptp.sk6)) % 0.26/0.46 (step @p539 :rule symm :premises (@p844)) % 0.26/0.46 (step @p540 :rule cong :premises (@p539 @p454) :args (@t247)) % 0.26/0.46 (step @p541 :rule trans :premises (@p187 @p842)) % 0.26/0.46 (step @p542 :rule cong :premises (@p541) :args (@t182)) % 0.26/0.46 (step @p543 :rule trans :premises (@p542 @p845 @p540 @p538)) % 0.26/0.46 (step @p544 :rule cong :premises (@p543) :args (@t266)) % 0.26/0.46 (step @p545 :rule trans :premises (@p544 @p537)) % 0.26/0.46 (step @p546 :rule true_elim :premises (@p545)) % 0.26/0.46 (step-pop @p852 :rule scope :premises (@p546)) % 0.26/0.46 (step-pop @p853 :rule scope :premises (@p852)) % 0.26/0.46 (step-pop @p854 :rule scope :premises (@p853)) % 0.26/0.46 (step-pop @p855 :rule scope :premises (@p854)) % 0.26/0.46 (step-pop @p856 :rule scope :premises (@p855)) % 0.26/0.46 (step-pop @p857 :rule scope :premises (@p856)) % 0.26/0.46 (step @p547 :rule process_scope :premises (@p857) :args (@t266)) % 0.26/0.46 (step @p554 :rule and_intro :premises (@p841 @p843 @p844 @p845 @p842 @p187)) % 0.26/0.46 (step @p555 :rule modus_ponens :premises (@p554 @p547)) % 0.26/0.46 (step-pop @p858 :rule scope :premises (@p555)) % 0.26/0.46 (step-pop @p859 :rule scope :premises (@p858)) % 0.26/0.46 (step-pop @p860 :rule scope :premises (@p859)) % 0.26/0.46 (step-pop @p861 :rule scope :premises (@p860)) % 0.26/0.46 (step-pop @p862 :rule scope :premises (@p861)) % 0.26/0.46 (step-pop @p863 :rule scope :premises (@p862)) % 0.26/0.46 (step @p556 :rule process_scope :premises (@p863) :args (@t266)) % 0.26/0.46 (step @p563 :rule implies_elim :premises (@p556)) % 0.26/0.46 (step @p564 :rule cnf_and_neg :args (@t267)) % 0.26/0.46 (step @p565 :rule resolution :premises (@p564 @p563) :args (true @t267)) % 0.26/0.46 (step @p566 :rule reordering :premises (@p565) :args ((or @t266 @t208 @t222 @t244 @t262 @t261 @t260))) % 0.26/0.46 (step @p567 :rule chain_m_resolution :premises (@p566 @p187 @p347 @p364 @p422 @p414 @p406) :args (@t266 (@list false false false false false false) (@list @t154 @t161 @t239 @t254 @t251 @t249))) % 0.26/0.46 (step @p568 :rule aci_norm :args ((= (or @t168 @t170 @t273) (or @t168 @t170 @t272 @t271 @t270 @t269 @t268)))) % 0.26/0.46 (step @p569 :rule aci_norm :args ((= (or @t272 @t274) @t273))) % 0.26/0.46 (step @p570 :rule aci_norm :args ((= (or @t271 @t275) @t274))) % 0.26/0.46 (step @p571 :rule aci_norm :args ((= (or @t270 @t269 @t268 false) @t275))) % 0.26/0.46 (step @p572 :rule eq-refl :args (@t172)) % 0.26/0.46 (step @p573 :rule cong :premises (@p572) :args (@t276)) % 0.26/0.46 (step @p574 :rule trans :premises (@p573 @p201)) % 0.26/0.46 (step @p575 :rule refl :args (@t268)) % 0.26/0.46 (step @p576 :rule refl :args (@t269)) % 0.26/0.46 (step @p577 :rule refl :args (@t270)) % 0.26/0.46 (step @p578 :rule nary_cong :premises (@p577 @p576 @p575 @p574) :args (@t277)) % 0.26/0.46 (step @p579 :rule trans :premises (@p578 @p571)) % 0.26/0.46 (step @p580 :rule quant-var-elim-eq :args ((= (forall @t282 @t281) @t277))) % 0.26/0.46 (step @p581 :rule aci_norm :args ((= @t283 @t281))) % 0.26/0.46 (step @p582 :rule cong :premises (@p581) :args ((forall @t282 @t283))) % 0.26/0.46 (step @p583 :rule trans :premises (@p582 @p580)) % 0.26/0.46 (step @p584 :rule trans :premises (@p583 @p579)) % 0.26/0.46 (step @p585 :rule aci_norm :args ((= (or @t280 @t279 @t177 false @t278) @t283))) % 0.26/0.46 (step @p586 :rule refl :args (@t278)) % 0.26/0.46 (step @p587 :rule eq-refl :args (@t175)) % 0.26/0.46 (step @p588 :rule cong :premises (@p587) :args (@t284)) % 0.26/0.46 (step @p589 :rule trans :premises (@p588 @p201)) % 0.26/0.46 (step @p590 :rule refl :args (@t177)) % 0.26/0.46 (step @p591 :rule refl :args (@t279)) % 0.26/0.46 (step @p592 :rule refl :args (@t280)) % 0.26/0.46 (step @p593 :rule nary_cong :premises (@p592 @p591 @p590 @p589 @p586) :args (@t285)) % 0.26/0.46 (step @p594 :rule trans :premises (@p593 @p585)) % 0.26/0.46 (step @p595 :rule cong :premises (@p594) :args ((forall @t282 @t285))) % 0.26/0.46 (step @p596 :rule trans :premises (@p595 @p584)) % 0.26/0.46 (step @p597 :rule quant-var-elim-eq :args ((= (forall @t289 @t288) @t285))) % 0.26/0.46 (step @p598 :rule aci_norm :args ((= @t290 @t288))) % 0.26/0.46 (step @p599 :rule cong :premises (@p598) :args (@t291)) % 0.26/0.46 (step @p600 :rule trans :premises (@p599 @p597)) % 0.26/0.46 (step @p601 :rule cong :premises (@p600) :args (@t292)) % 0.26/0.46 (step @p602 :rule quant-merge-prenex :args ((= @t292 @t293))) % 0.26/0.46 (step @p603 :rule symm :premises (@p602)) % 0.26/0.46 (step @p604 :rule quant_var_reordering :args ((= @t295 @t293))) % 0.26/0.46 (step @p605 :rule trans :premises (@p604 @p603 @p601)) % 0.26/0.46 (step @p606 :rule trans :premises (@p605 @p596)) % 0.26/0.46 (step @p607 :rule refl :args (@t271)) % 0.26/0.46 (step @p608 :rule nary_cong :premises (@p607 @p606) :args (@t296)) % 0.26/0.46 (step @p609 :rule trans :premises (@p608 @p570)) % 0.26/0.46 (step @p610 :rule quant-miniscope-or :args ((= (forall @t294 @t297) @t296))) % 0.26/0.46 (step @p611 :rule aci_norm :args ((= @t298 @t297))) % 0.26/0.46 (step @p612 :rule cong :premises (@p611) :args ((forall @t294 @t298))) % 0.26/0.46 (step @p613 :rule trans :premises (@p612 @p610)) % 0.26/0.46 (step @p614 :rule trans :premises (@p613 @p609)) % 0.26/0.46 (step @p615 :rule aci_norm :args ((= (or @t271 false @t184 @t287 @t177 @t286 @t278) @t298))) % 0.26/0.46 (step @p616 :rule refl :args (@t286)) % 0.26/0.46 (step @p617 :rule refl :args (@t287)) % 0.26/0.46 (step @p618 :rule refl :args (@t184)) % 0.26/0.46 (step @p619 :rule eq-refl :args (@t182)) % 0.26/0.46 (step @p620 :rule cong :premises (@p619) :args (@t299)) % 0.26/0.46 (step @p621 :rule trans :premises (@p620 @p201)) % 0.26/0.46 (step @p622 :rule nary_cong :premises (@p607 @p621 @p618 @p617 @p590 @p616 @p586) :args (@t300)) % 0.26/0.46 (step @p623 :rule trans :premises (@p622 @p615)) % 0.26/0.46 (step @p624 :rule cong :premises (@p623) :args ((forall @t294 @t300))) % 0.26/0.46 (step @p625 :rule trans :premises (@p624 @p614)) % 0.26/0.46 (step @p626 :rule quant-var-elim-eq :args ((= (forall @t304 @t303) @t300))) % 0.26/0.46 (step @p627 :rule aci_norm :args ((= @t305 @t303))) % 0.26/0.46 (step @p628 :rule cong :premises (@p627) :args (@t306)) % 0.26/0.46 (step @p629 :rule trans :premises (@p628 @p626)) % 0.26/0.46 (step @p630 :rule cong :premises (@p629) :args (@t307)) % 0.26/0.46 (step @p631 :rule quant-merge-prenex :args ((= @t307 @t308))) % 0.26/0.46 (step @p632 :rule symm :premises (@p631)) % 0.26/0.46 (step @p633 :rule quant_var_reordering :args ((= @t310 @t308))) % 0.26/0.46 (step @p634 :rule trans :premises (@p633 @p632 @p630)) % 0.26/0.46 (step @p635 :rule trans :premises (@p634 @p625)) % 0.26/0.46 (step @p636 :rule refl :args (@t272)) % 0.26/0.46 (step @p637 :rule nary_cong :premises (@p636 @p635) :args (@t311)) % 0.26/0.46 (step @p638 :rule trans :premises (@p637 @p569)) % 0.26/0.46 (step @p639 :rule quant-miniscope-or :args ((= (forall @t309 @t312) @t311))) % 0.26/0.46 (step @p640 :rule aci_norm :args ((= @t313 @t312))) % 0.26/0.46 (step @p641 :rule cong :premises (@p640) :args ((forall @t309 @t313))) % 0.26/0.46 (step @p642 :rule trans :premises (@p641 @p639)) % 0.26/0.46 (step @p643 :rule trans :premises (@p642 @p638)) % 0.26/0.46 (step @p644 :rule aci_norm :args ((= (or @t272 false @t185 @t302 @t184 @t301 @t177 @t286 @t278) @t313))) % 0.26/0.46 (step @p645 :rule refl :args (@t301)) % 0.26/0.46 (step @p646 :rule refl :args (@t302)) % 0.26/0.46 (step @p647 :rule refl :args (@t185)) % 0.26/0.46 (step @p648 :rule eq-refl :args (tptp.sk1)) % 0.26/0.46 (step @p649 :rule cong :premises (@p648) :args (@t314)) % 0.26/0.46 (step @p650 :rule trans :premises (@p649 @p201)) % 0.26/0.46 (step @p651 :rule nary_cong :premises (@p636 @p650 @p647 @p646 @p618 @p645 @p590 @p616 @p586) :args (@t315)) % 0.26/0.46 (step @p652 :rule trans :premises (@p651 @p644)) % 0.26/0.46 (step @p653 :rule cong :premises (@p652) :args ((forall @t309 @t315))) % 0.26/0.46 (step @p654 :rule trans :premises (@p653 @p643)) % 0.26/0.46 (step @p655 :rule quant-var-elim-eq :args ((= (forall @t317 (or (not (= @t178 tptp.sk1)) @t187 @t186 @t185 @t302 @t184 @t316 @t177 @t286 @t278)) @t315))) % 0.26/0.46 (step @p656 :rule refl :args (@t278)) % 0.26/0.46 (step @p657 :rule refl :args (@t286)) % 0.26/0.46 (step @p658 :rule refl :args (@t177)) % 0.26/0.46 (step @p659 :rule refl :args (@t316)) % 0.26/0.46 (step @p660 :rule refl :args (@t184)) % 0.26/0.46 (step @p661 :rule refl :args (@t302)) % 0.26/0.46 (step @p662 :rule refl :args (@t185)) % 0.26/0.46 (step @p663 :rule refl :args (@t186)) % 0.26/0.46 (step @p664 :rule refl :args (@t187)) % 0.26/0.46 (step @p665 :rule eq-symm :args (tptp.sk1 @t178)) % 0.26/0.46 (step @p666 :rule cong :premises (@p665) :args (@t186)) % 0.26/0.46 (step @p667 :rule nary_cong :premises (@p666 @p664 @p663 @p662 @p661 @p660 @p659 @p658 @p657 @p656) :args (@t318)) % 0.26/0.46 (step @p668 :rule aci_norm :args ((= @t319 @t318))) % 0.26/0.46 (step @p669 :rule trans :premises (@p668 @p667)) % 0.26/0.46 (step @p670 :rule cong :premises (@p669) :args (@t320)) % 0.26/0.46 (step @p671 :rule trans :premises (@p670 @p655)) % 0.26/0.46 (step @p672 :rule cong :premises (@p671) :args (@t321)) % 0.26/0.46 (step @p673 :rule quant-merge-prenex :args ((= @t321 @t322))) % 0.26/0.46 (step @p674 :rule symm :premises (@p673)) % 0.26/0.46 (step @p675 :rule quant_var_reordering :args ((= @t323 @t322))) % 0.26/0.46 (step @p676 :rule trans :premises (@p675 @p674 @p672)) % 0.26/0.46 (step @p677 :rule trans :premises (@p676 @p654)) % 0.26/0.46 (step @p678 :rule refl :args (@t170)) % 0.26/0.46 (step @p679 :rule refl :args (@t168)) % 0.26/0.46 (step @p680 :rule nary_cong :premises (@p679 @p678 @p677) :args (@t324)) % 0.26/0.46 (step @p681 :rule trans :premises (@p680 @p568)) % 0.26/0.46 (step @p682 :rule quant-miniscope-or :args ((= (forall @t189 @t325) @t324))) % 0.26/0.46 (step @p683 :rule aci_norm :args ((= @t326 @t325))) % 0.26/0.46 (step @p684 :rule cong :premises (@p683) :args ((forall @t189 @t326))) % 0.26/0.46 (step @p685 :rule trans :premises (@p684 @p682)) % 0.26/0.46 (step @p686 :rule trans :premises (@p685 @p681)) % 0.26/0.46 (step @p687 :rule aci_norm :args ((= @t327 @t326))) % 0.26/0.46 (step @p688 :rule cong :premises (@p687) :args ((forall @t189 @t327))) % 0.26/0.46 (step @p689 :rule trans :premises (@p688 @p686)) % 0.26/0.46 (step @p690 :rule eq-symm :args (@t172 @t171)) % 0.26/0.46 (step @p691 :rule cong :premises (@p690) :args (@t173)) % 0.26/0.46 (step @p692 :rule eq-symm :args (@t175 @t174)) % 0.26/0.46 (step @p693 :rule cong :premises (@p692) :args (@t176)) % 0.26/0.46 (step @p694 :rule eq-symm :args (@t180 @t178)) % 0.26/0.46 (step @p695 :rule cong :premises (@p694) :args (@t181)) % 0.26/0.46 (step @p696 :rule eq-symm :args (@t182 @t179)) % 0.26/0.46 (step @p697 :rule cong :premises (@p696) :args (@t183)) % 0.26/0.46 (step @p698 :rule refl :args (@t186)) % 0.26/0.46 (step @p699 :rule refl :args (@t187)) % 0.26/0.46 (step @p700 :rule nary_cong :premises (@p679 @p699 @p698 @p647 @p618 @p697 @p695 @p590 @p693 @p691 @p678 @p678) :args (@t188)) % 0.26/0.46 (step @p701 :rule cong :premises (@p700) :args (@t190)) % 0.26/0.46 (step @p702 :rule trans :premises (@p701 @p689)) % 0.26/0.46 (step @p703 :rule eq_resolve :premises (@p195 @p702)) % 0.26/0.46 (step @p704 :rule chain_m_resolution :premises (@p703 @p567 @p524 @p485 @p402 @p183 @p290 @p288 @p184 @p8) :args (@t168 @t263 (@list @t266 @t264 @t258 @t240 @t152 @t169 @t215 @t153 @t1))) % 0.26/0.46 (step @p705 :rule bool-double-not-elim :args (@t202)) % 0.26/0.46 (step @p706 :rule refl :args (@t207)) % 0.26/0.46 (step @p707 :rule nary_cong :premises (@p706 @p306 @p705) :args ((or @t207 @t228 (not @t203)))) % 0.26/0.46 (assume-push @p864 @t203) % 0.26/0.46 (assume-push @p865 @t168) % 0.26/0.46 (assume-push @p866 @t167) % 0.26/0.46 (step @p711 :rule evaluate :args ((= true false))) % 0.26/0.46 (step @p712 :rule false_intro :premises (@p222)) % 0.26/0.46 (step @p713 :rule refl :args (tptp.sk2)) % 0.26/0.46 (step @p714 :rule cong :premises (@p713 @p865) :args (@t167)) % 0.26/0.46 (step @p715 :rule true_intro :premises (@p866)) % 0.26/0.46 (step @p716 :rule symm :premises (@p715)) % 0.26/0.46 (step @p717 :rule trans :premises (@p716 @p714 @p712)) % 0.26/0.46 (step @p718 false :rule eq_resolve :premises (@p717 @p711)) % 0.26/0.46 (step-pop @p867 :rule scope :premises (@p718)) % 0.26/0.46 (step-pop @p868 :rule scope :premises (@p867)) % 0.26/0.46 (step-pop @p869 :rule scope :premises (@p868)) % 0.26/0.46 (step @p719 :rule process_scope :premises (@p869) :args (false)) % 0.26/0.46 (assume-push @p870 @t168) % 0.26/0.46 (assume-push @p871 @t167) % 0.26/0.46 (assume-push @p872 @t203) % 0.26/0.46 (step @p726 :rule and_intro :premises (@p222 @p870 @p871)) % 0.26/0.46 (step-pop @p873 :rule scope :premises (@p726)) % 0.26/0.46 (step-pop @p874 :rule scope :premises (@p873)) % 0.26/0.46 (step-pop @p875 :rule scope :premises (@p874)) % 0.26/0.46 (step @p727 :rule process_scope :premises (@p875) :args (@t328)) % 0.26/0.46 (step @p731 :rule implies_elim :premises (@p727)) % 0.26/0.46 (step @p732 :rule resolution :premises (@p731 @p719) :args (true @t328)) % 0.26/0.46 (step @p733 :rule not_and :premises (@p732)) % 0.26/0.46 (step @p734 :rule eq_resolve :premises (@p733 @p707)) % 0.26/0.46 (step @p735 false :rule chain_m_resolution :premises (@p734 @p704 @p268 @p222) :args (false (@list false false true) (@list @t168 @t167 @t202))) % 0.26/0.46 ) % 0.26/0.46 % SZS output end Proof % 0.26/0.46 % cvc5 exiting %------------------------------------------------------------------------------