%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC053-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:51 AM UTC 2026 % Result : Unsatisfiable 0.39s 1.01s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SWC053-1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n006.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:11:34 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/1.01 % SZS status Unsatisfiable % 0.39/1.01 % SZS output start Proof % 0.39/1.03 ( % 0.39/1.03 (declare-sort $$unsorted 0) % 0.39/1.03 (declare-const tptp.sk5 $$unsorted) % 0.39/1.03 (declare-const tptp.sk4 $$unsorted) % 0.39/1.03 (declare-const tptp.sk2 $$unsorted) % 0.39/1.03 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.nil $$unsorted) % 0.39/1.03 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.sk1 $$unsorted) % 0.39/1.03 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.skac2 $$unsorted) % 0.39/1.03 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.sk3 $$unsorted) % 0.39/1.03 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skac3 $$unsorted) % 0.39/1.03 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.03 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.39/1.03 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.39/1.03 (define @t1 () (tptp.ssList tptp.nil)) % 0.39/1.03 (define @t2 () (@var "U" $$unsorted)) % 0.39/1.03 (define @t3 () (tptp.skaf83 @t2)) % 0.39/1.03 (define @t4 () (@list @t2)) % 0.39/1.03 (define @t5 () (tptp.skaf82 @t2)) % 0.39/1.03 (define @t6 () (tptp.skaf81 @t2)) % 0.39/1.03 (define @t7 () (tptp.skaf80 @t2)) % 0.39/1.03 (define @t8 () (tptp.skaf79 @t2)) % 0.39/1.03 (define @t9 () (tptp.skaf78 @t2)) % 0.39/1.03 (define @t10 () (tptp.skaf77 @t2)) % 0.39/1.03 (define @t11 () (tptp.skaf76 @t2)) % 0.39/1.03 (define @t12 () (tptp.skaf75 @t2)) % 0.39/1.03 (define @t13 () (tptp.skaf74 @t2)) % 0.39/1.03 (define @t14 () (tptp.skaf73 @t2)) % 0.39/1.03 (define @t15 () (tptp.skaf72 @t2)) % 0.39/1.03 (define @t16 () (tptp.skaf71 @t2)) % 0.39/1.03 (define @t17 () (tptp.skaf70 @t2)) % 0.39/1.03 (define @t18 () (tptp.skaf69 @t2)) % 0.39/1.03 (define @t19 () (tptp.skaf68 @t2)) % 0.39/1.03 (define @t20 () (tptp.skaf67 @t2)) % 0.39/1.03 (define @t21 () (tptp.skaf66 @t2)) % 0.39/1.03 (define @t22 () (tptp.skaf65 @t2)) % 0.39/1.03 (define @t23 () (tptp.skaf64 @t2)) % 0.39/1.03 (define @t24 () (tptp.skaf63 @t2)) % 0.39/1.03 (define @t25 () (tptp.skaf62 @t2)) % 0.39/1.03 (define @t26 () (tptp.skaf61 @t2)) % 0.39/1.03 (define @t27 () (tptp.skaf60 @t2)) % 0.39/1.03 (define @t28 () (tptp.skaf59 @t2)) % 0.39/1.03 (define @t29 () (tptp.skaf58 @t2)) % 0.39/1.03 (define @t30 () (tptp.skaf57 @t2)) % 0.39/1.03 (define @t31 () (tptp.skaf56 @t2)) % 0.39/1.03 (define @t32 () (tptp.skaf55 @t2)) % 0.39/1.03 (define @t33 () (tptp.skaf54 @t2)) % 0.39/1.03 (define @t34 () (tptp.skaf53 @t2)) % 0.39/1.03 (define @t35 () (tptp.skaf52 @t2)) % 0.39/1.03 (define @t36 () (tptp.skaf51 @t2)) % 0.39/1.03 (define @t37 () (tptp.skaf50 @t2)) % 0.39/1.03 (define @t38 () (tptp.skaf49 @t2)) % 0.39/1.03 (define @t39 () (tptp.skaf44 @t2)) % 0.39/1.03 (define @t40 () (@var "V" $$unsorted)) % 0.39/1.03 (define @t41 () (@list @t2 @t40)) % 0.39/1.03 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.39/1.03 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.39/1.03 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.39/1.03 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.39/1.03 (define @t46 () (not (tptp.ssItem @t2))) % 0.39/1.03 (define @t47 () (not (tptp.ssList @t2))) % 0.39/1.03 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.39/1.03 (define @t49 () (tptp.ssItem @t40)) % 0.39/1.03 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.39/1.03 (define @t51 () (tptp.app tptp.nil @t2)) % 0.39/1.03 (define @t52 () (or @t47 (= @t51 @t2))) % 0.39/1.03 (define @t53 () (forall @t4 @t52)) % 0.39/1.03 (define @t54 () (= tptp.nil @t2)) % 0.39/1.03 (define @t55 () (tptp.tl @t2)) % 0.39/1.03 (define @t56 () (tptp.hd @t2)) % 0.39/1.03 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 0.39/1.03 (define @t58 () (not @t54)) % 0.39/1.03 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 0.39/1.03 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 0.39/1.03 (define @t61 () (tptp.app @t40 @t2)) % 0.39/1.03 (define @t62 () (not (tptp.ssList @t40))) % 0.39/1.03 (define @t63 () (tptp.cons @t2 @t40)) % 0.39/1.03 (define @t64 () (tptp.cyclefreeP @t2)) % 0.39/1.03 (define @t65 () (tptp.equalelemsP @t2)) % 0.39/1.03 (define @t66 () (tptp.strictorderedP @t2)) % 0.39/1.03 (define @t67 () (tptp.totalorderedP @t2)) % 0.39/1.03 (define @t68 () (tptp.strictorderP @t2)) % 0.39/1.03 (define @t69 () (tptp.totalorderP @t2)) % 0.39/1.03 (define @t70 () (= @t40 @t2)) % 0.39/1.03 (define @t71 () (tptp.neq @t40 @t2)) % 0.39/1.03 (define @t72 () (not @t49)) % 0.39/1.03 (define @t73 () (tptp.leq @t2 @t40)) % 0.39/1.03 (define @t74 () (tptp.lt @t2 @t40)) % 0.39/1.03 (define @t75 () (not @t74)) % 0.39/1.03 (define @t76 () (tptp.lt @t40 @t2)) % 0.39/1.03 (define @t77 () (not (tptp.gt @t2 @t40))) % 0.39/1.03 (define @t78 () (tptp.gt @t40 @t2)) % 0.39/1.03 (define @t79 () (tptp.leq @t40 @t2)) % 0.39/1.03 (define @t80 () (not (tptp.geq @t2 @t40))) % 0.39/1.03 (define @t81 () (tptp.geq @t40 @t2)) % 0.39/1.03 (define @t82 () (not @t73)) % 0.39/1.03 (define @t83 () (= @t2 @t40)) % 0.39/1.03 (define @t84 () (not @t83)) % 0.39/1.03 (define @t85 () (tptp.cons @t40 @t2)) % 0.39/1.03 (define @t86 () (not (tptp.neq @t2 @t40))) % 0.39/1.03 (define @t87 () (or @t84 @t86 @t62 @t47)) % 0.39/1.03 (define @t88 () (forall @t41 @t87)) % 0.39/1.03 (define @t89 () (tptp.app @t2 @t40)) % 0.39/1.03 (define @t90 () (= @t89 tptp.nil)) % 0.39/1.03 (define @t91 () (not @t90)) % 0.39/1.03 (define @t92 () (= tptp.nil @t40)) % 0.39/1.03 (define @t93 () (tptp.hd @t40)) % 0.39/1.03 (define @t94 () (tptp.strictorderedP @t40)) % 0.39/1.03 (define @t95 () (tptp.strictorderedP @t63)) % 0.39/1.03 (define @t96 () (not @t95)) % 0.39/1.03 (define @t97 () (tptp.totalorderedP @t40)) % 0.39/1.03 (define @t98 () (tptp.totalorderedP @t63)) % 0.39/1.03 (define @t99 () (not @t98)) % 0.39/1.03 (define @t100 () (not (tptp.segmentP @t2 @t40))) % 0.39/1.03 (define @t101 () (not (tptp.rearsegP @t2 @t40))) % 0.39/1.03 (define @t102 () (not (tptp.frontsegP @t40 @t2))) % 0.39/1.03 (define @t103 () (not (tptp.frontsegP @t2 @t40))) % 0.39/1.03 (define @t104 () (or @t103 @t102 @t47 @t62 @t70)) % 0.39/1.03 (define @t105 () (forall @t41 @t104)) % 0.39/1.03 (define @t106 () (not @t79)) % 0.39/1.03 (define @t107 () (tptp.app @t40 @t44)) % 0.39/1.03 (define @t108 () (or @t103 @t62 @t47 (= @t107 @t2))) % 0.39/1.03 (define @t109 () (forall @t41 @t108)) % 0.39/1.03 (define @t110 () (tptp.tl @t40)) % 0.39/1.03 (define @t111 () (tptp.lt @t2 @t93)) % 0.39/1.03 (define @t112 () (tptp.leq @t2 @t93)) % 0.39/1.03 (define @t113 () (@var "W" $$unsorted)) % 0.39/1.03 (define @t114 () (tptp.app @t113 @t2)) % 0.39/1.03 (define @t115 () (not (tptp.ssList @t113))) % 0.39/1.03 (define @t116 () (@list @t2 @t40 @t113)) % 0.39/1.03 (define @t117 () (tptp.app @t2 @t113)) % 0.39/1.03 (define @t118 () (tptp.cons @t40 @t113)) % 0.39/1.03 (define @t119 () (tptp.cons @t113 @t2)) % 0.39/1.03 (define @t120 () (not (tptp.ssItem @t113))) % 0.39/1.03 (define @t121 () (not (tptp.memberP @t2 @t40))) % 0.39/1.03 (define @t122 () (not (= @t89 @t113))) % 0.39/1.03 (define @t123 () (tptp.lt @t2 @t113)) % 0.39/1.03 (define @t124 () (not (tptp.lt @t40 @t113))) % 0.39/1.03 (define @t125 () (tptp.app @t113 @t40)) % 0.39/1.03 (define @t126 () (= @t40 @t113)) % 0.39/1.03 (define @t127 () (= @t2 @t113)) % 0.39/1.03 (define @t128 () (tptp.memberP @t40 @t113)) % 0.39/1.03 (define @t129 () (@var "X" $$unsorted)) % 0.39/1.03 (define @t130 () (not (tptp.ssList @t129))) % 0.39/1.03 (define @t131 () (tptp.cons @t113 @t129)) % 0.39/1.03 (define @t132 () (not (= @t63 @t131))) % 0.39/1.03 (define @t133 () (@list @t2 @t40 @t113 @t129)) % 0.39/1.03 (define @t134 () (tptp.segmentP @t129 @t40)) % 0.39/1.03 (define @t135 () (tptp.app @t89 @t113)) % 0.39/1.03 (define @t136 () (not (= @t135 @t129))) % 0.39/1.03 (define @t137 () (or @t136 @t115 @t47 @t62 @t130 @t134)) % 0.39/1.03 (define @t138 () (forall @t133 @t137)) % 0.39/1.03 (define @t139 () (not (tptp.frontsegP @t63 @t131))) % 0.39/1.03 (define @t140 () (tptp.app @t2 @t118)) % 0.39/1.03 (define @t141 () (not (tptp.ssItem @t129))) % 0.39/1.03 (define @t142 () (@var "Y" $$unsorted)) % 0.39/1.03 (define @t143 () (not (tptp.ssList @t142))) % 0.39/1.03 (define @t144 () (@list @t2 @t40 @t113 @t129 @t142)) % 0.39/1.03 (define @t145 () (tptp.lt @t40 @t129)) % 0.39/1.03 (define @t146 () (@var "Z" $$unsorted)) % 0.39/1.03 (define @t147 () (not (tptp.ssList @t146))) % 0.39/1.03 (define @t148 () (not (= (tptp.app @t140 (tptp.cons @t129 @t142)) @t146))) % 0.39/1.03 (define @t149 () (@list @t2 @t40 @t113 @t129 @t142 @t146)) % 0.39/1.03 (define @t150 () (tptp.leq @t40 @t129)) % 0.39/1.03 (define @t151 () (tptp.ssList tptp.sk1)) % 0.39/1.03 (define @t152 () (tptp.ssList tptp.sk2)) % 0.39/1.03 (define @t153 () (tptp.ssList tptp.sk3)) % 0.39/1.03 (define @t154 () (tptp.ssList tptp.sk4)) % 0.39/1.03 (define @t155 () (= tptp.sk2 tptp.sk4)) % 0.39/1.03 (define @t156 () (= tptp.sk1 tptp.sk3)) % 0.39/1.03 (define @t157 () (= tptp.nil tptp.sk4)) % 0.39/1.03 (define @t158 () (tptp.ssList tptp.sk5)) % 0.39/1.03 (define @t159 () (= tptp.nil tptp.sk3)) % 0.39/1.03 (define @t160 () (tptp.neq tptp.sk5 tptp.nil)) % 0.39/1.03 (define @t161 () (tptp.frontsegP tptp.sk4 tptp.sk5)) % 0.39/1.03 (define @t162 () (tptp.frontsegP tptp.sk3 tptp.sk5)) % 0.39/1.03 (define @t163 () (tptp.neq tptp.sk2 tptp.nil)) % 0.39/1.03 (define @t164 () (= tptp.nil tptp.sk2)) % 0.39/1.03 (define @t165 () (@var "A" $$unsorted)) % 0.39/1.03 (define @t166 () (not (tptp.segmentP tptp.sk1 @t165))) % 0.39/1.03 (define @t167 () (not (tptp.segmentP tptp.sk2 @t165))) % 0.39/1.03 (define @t168 () (not (tptp.neq @t165 tptp.nil))) % 0.39/1.03 (define @t169 () (not (tptp.ssList @t165))) % 0.39/1.03 (define @t170 () (or @t164 @t169 @t168 @t167 @t166)) % 0.39/1.03 (define @t171 () (@list @t165)) % 0.39/1.03 (define @t172 () (forall @t171 @t170)) % 0.39/1.03 (define @t173 () (= tptp.nil tptp.sk1)) % 0.39/1.03 (define @t174 () (not @t173)) % 0.39/1.03 (define @t175 () (and @t156 @t159)) % 0.39/1.03 (define @t176 () (not @t159)) % 0.39/1.03 (define @t177 () (not @t156)) % 0.39/1.03 (define @t178 () (@list tptp.sk5)) % 0.39/1.03 (define @t179 () (not (tptp.neq @t40 @t40))) % 0.39/1.03 (define @t180 () (not (= @t40 @t40))) % 0.39/1.03 (define @t181 () (or @t180 @t179 @t62 @t62)) % 0.39/1.03 (define @t182 () (@list @t40)) % 0.39/1.03 (define @t183 () (or @t84 @t84 @t86 @t62 @t47)) % 0.39/1.03 (define @t184 () (forall @t4 @t87)) % 0.39/1.03 (define @t185 () (forall @t182 @t184)) % 0.39/1.03 (define @t186 () (forall (@list @t40 @t2) @t87)) % 0.39/1.03 (define @t187 () (not @t151)) % 0.39/1.03 (define @t188 () (tptp.neq tptp.sk1 tptp.sk1)) % 0.39/1.03 (define @t189 () (not @t188)) % 0.39/1.03 (define @t190 () (or @t189 @t187)) % 0.39/1.03 (define @t191 () (@list false false)) % 0.39/1.03 (define @t192 () (not @t163)) % 0.39/1.03 (define @t193 () (not @t157)) % 0.39/1.03 (define @t194 () (not @t155)) % 0.39/1.03 (define @t195 () (and @t155 @t156 @t157 @t159 @t189)) % 0.39/1.03 (define @t196 () (tptp.frontsegP tptp.sk5 tptp.nil)) % 0.39/1.03 (define @t197 () (not @t158)) % 0.39/1.03 (define @t198 () (or @t197 @t196)) % 0.39/1.03 (define @t199 () (tptp.frontsegP tptp.sk5 tptp.sk4)) % 0.39/1.03 (define @t200 () (and @t155 @t164 @t196)) % 0.39/1.03 (define @t201 () (not @t164)) % 0.39/1.03 (define @t202 () (@list tptp.sk4 tptp.sk5)) % 0.39/1.03 (define @t203 () (= tptp.sk4 tptp.sk5)) % 0.39/1.03 (define @t204 () (not @t154)) % 0.39/1.03 (define @t205 () (not @t199)) % 0.39/1.03 (define @t206 () (not @t161)) % 0.39/1.03 (define @t207 () (or @t206 @t205 @t204 @t197 @t203)) % 0.39/1.03 (define @t208 () (tptp.neq tptp.sk5 tptp.sk5)) % 0.39/1.03 (define @t209 () (not @t208)) % 0.39/1.03 (define @t210 () (or @t209 @t197)) % 0.39/1.03 (define @t211 () (not @t203)) % 0.39/1.03 (define @t212 () (not @t160)) % 0.39/1.03 (define @t213 () (= false true)) % 0.85/1.03 (define @t214 () (and @t160 @t164 @t155 @t203 @t209)) % 0.85/1.03 (define @t215 () (not @t152)) % 0.85/1.03 (define @t216 () (tptp.neq tptp.sk2 tptp.sk2)) % 0.85/1.03 (define @t217 () (not @t216)) % 0.85/1.03 (define @t218 () (or @t217 @t215)) % 0.85/1.03 (define @t219 () (or @t169 @t168 @t167 @t166)) % 0.85/1.03 (define @t220 () (forall @t171 @t219)) % 0.85/1.03 (define @t221 () (or @t164 @t219)) % 0.85/1.03 (define @t222 () (tptp.segmentP tptp.sk1 tptp.sk5)) % 0.85/1.03 (define @t223 () (not @t222)) % 0.85/1.03 (define @t224 () (tptp.segmentP tptp.sk2 tptp.sk5)) % 0.85/1.03 (define @t225 () (not @t224)) % 0.85/1.03 (define @t226 () (or @t197 @t212 @t225 @t223)) % 0.85/1.03 (define @t227 () (and @t155 @t201)) % 0.85/1.03 (define @t228 () (tptp.skaf45 tptp.sk4 tptp.sk5)) % 0.85/1.03 (define @t229 () (tptp.app tptp.sk5 @t228)) % 0.85/1.03 (define @t230 () (= tptp.sk4 @t229)) % 0.85/1.03 (define @t231 () (or @t206 @t197 @t204 @t230)) % 0.85/1.03 (define @t232 () (@list tptp.sk3 tptp.sk5)) % 0.85/1.03 (define @t233 () (tptp.skaf45 tptp.sk3 tptp.sk5)) % 0.85/1.03 (define @t234 () (tptp.app tptp.sk5 @t233)) % 0.85/1.03 (define @t235 () (= tptp.sk3 @t234)) % 0.85/1.03 (define @t236 () (not @t153)) % 0.85/1.03 (define @t237 () (not @t162)) % 0.85/1.03 (define @t238 () (or @t237 @t197 @t236 @t235)) % 0.85/1.03 (define @t239 () (tptp.app tptp.nil tptp.sk5)) % 0.85/1.03 (define @t240 () (= tptp.sk5 @t239)) % 0.85/1.03 (define @t241 () (or @t197 @t240)) % 0.85/1.03 (define @t242 () (tptp.app @t239 @t228)) % 0.85/1.03 (define @t243 () (tptp.ssList @t242)) % 0.85/1.03 (define @t244 () (and @t152 @t155 @t240 @t230)) % 0.85/1.03 (define @t245 () (tptp.app @t239 @t233)) % 0.85/1.03 (define @t246 () (tptp.ssList @t245)) % 0.85/1.03 (define @t247 () (and @t151 @t156 @t240 @t235)) % 0.85/1.03 (define @t248 () (tptp.segmentP @t135 @t40)) % 0.85/1.03 (define @t249 () (not (tptp.ssList @t135))) % 0.85/1.03 (define @t250 () (not (= @t135 @t135))) % 0.85/1.03 (define @t251 () (or @t250 @t115 @t47 @t62 @t249 @t248)) % 0.85/1.03 (define @t252 () (not (= @t129 @t135))) % 0.85/1.03 (define @t253 () (or @t252 @t252 @t115 @t47 @t62 @t130 @t134)) % 0.85/1.03 (define @t254 () (@list @t129)) % 0.85/1.03 (define @t255 () (or @t252 @t115 @t47 @t62 @t130 @t134)) % 0.85/1.03 (define @t256 () (forall @t254 @t255)) % 0.85/1.03 (define @t257 () (forall @t116 @t256)) % 0.85/1.03 (define @t258 () (tptp.segmentP @t242 tptp.sk5)) % 0.85/1.03 (define @t259 () (not @t243)) % 0.85/1.03 (define @t260 () (not @t1)) % 0.85/1.03 (define @t261 () (tptp.ssList @t228)) % 0.85/1.03 (define @t262 () (not @t261)) % 0.85/1.03 (define @t263 () (or @t262 @t260 @t197 @t259 @t258)) % 0.85/1.03 (define @t264 () (tptp.segmentP @t245 tptp.sk5)) % 0.85/1.03 (define @t265 () (not @t246)) % 0.85/1.03 (define @t266 () (tptp.ssList @t233)) % 0.85/1.03 (define @t267 () (not @t266)) % 0.85/1.03 (define @t268 () (or @t267 @t260 @t197 @t265 @t264)) % 0.85/1.03 (define @t269 () (and @t155 @t240 @t230 @t258)) % 0.85/1.03 (define @t270 () (not @t240)) % 0.85/1.03 (define @t271 () (and @t156 @t240 @t235 @t264)) % 0.85/1.03 (define @t272 () (and @t163 @t164 @t217)) % 0.85/1.03 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.85/1.03 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.85/1.03 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.85/1.03 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.85/1.03 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.85/1.03 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.85/1.03 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.85/1.03 (assume @p8 @t1) % 0.85/1.03 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.85/1.03 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.85/1.03 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.85/1.03 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.85/1.03 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.85/1.03 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.85/1.03 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.85/1.03 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.85/1.03 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.85/1.03 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.85/1.03 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.85/1.03 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.85/1.03 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.85/1.03 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.85/1.03 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.85/1.03 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.85/1.03 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.85/1.03 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.85/1.03 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.85/1.03 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.85/1.03 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.85/1.03 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.85/1.03 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.85/1.03 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.85/1.03 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.85/1.03 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.85/1.03 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.85/1.03 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.85/1.03 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.85/1.03 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.85/1.03 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.85/1.03 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.85/1.03 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.85/1.03 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.85/1.03 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.85/1.03 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.85/1.03 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.85/1.03 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.85/1.03 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.85/1.03 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.85/1.03 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.85/1.03 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.85/1.03 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.85/1.03 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.85/1.03 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.85/1.03 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.85/1.03 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.85/1.03 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.85/1.03 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.85/1.03 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.85/1.03 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.85/1.03 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.85/1.03 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.85/1.03 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.85/1.03 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.85/1.03 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.85/1.03 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.85/1.03 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.85/1.03 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.85/1.03 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.85/1.03 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.85/1.03 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.85/1.03 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.85/1.03 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.85/1.03 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.85/1.03 (assume @p74 @t53) % 0.85/1.03 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 0.85/1.03 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 0.85/1.03 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 0.85/1.03 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 0.85/1.03 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 0.85/1.03 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 0.85/1.03 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 0.85/1.03 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 0.85/1.03 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 0.85/1.03 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 0.85/1.03 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 0.85/1.03 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 0.85/1.03 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 0.85/1.03 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 0.85/1.03 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 0.85/1.03 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 0.85/1.03 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 0.85/1.03 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 0.85/1.03 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 0.85/1.03 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 0.85/1.03 (assume @p95 (forall @t41 (or @t46 @t62 (= (tptp.hd @t63) @t2)))) % 0.85/1.03 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 0.85/1.03 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 0.85/1.03 (assume @p98 (forall @t41 (or @t47 @t62 @t71 @t70))) % 0.85/1.03 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.85/1.03 (assume @p100 (forall @t41 (or @t46 @t72 @t71 @t70))) % 0.85/1.03 (assume @p101 (forall @t41 (or @t75 @t72 @t46 @t73))) % 0.85/1.03 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 0.85/1.03 (assume @p103 (forall @t41 (or @t77 @t72 @t46 @t76))) % 0.85/1.03 (assume @p104 (forall @t41 (or @t75 @t46 @t72 @t78))) % 0.85/1.03 (assume @p105 (forall @t41 (or @t80 @t72 @t46 @t79))) % 0.85/1.03 (assume @p106 (forall @t41 (or @t82 @t46 @t72 @t81))) % 0.85/1.03 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 0.85/1.03 (assume @p108 (forall @t41 (or @t77 (not @t78) @t46 @t72))) % 0.85/1.03 (assume @p109 (forall @t41 (or @t84 @t75 @t72 @t46))) % 0.85/1.03 (assume @p110 (forall @t41 (or @t58 @t47 @t72 (tptp.strictorderedP @t85)))) % 0.85/1.03 (assume @p111 (forall @t41 (or @t58 @t47 @t72 (tptp.totalorderedP @t85)))) % 0.85/1.03 (assume @p112 (forall @t41 (or @t75 (not @t76) @t46 @t72))) % 0.85/1.03 (assume @p113 @t88) % 0.85/1.03 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 0.85/1.03 (assume @p115 (forall @t41 (or @t84 @t86 @t72 @t46))) % 0.85/1.03 (assume @p116 (forall @t41 (or @t91 @t62 @t47 @t54))) % 0.85/1.03 (assume @p117 (forall @t41 (or @t91 @t62 @t47 @t92))) % 0.85/1.03 (assume @p118 (forall @t41 (or @t46 @t62 (= (tptp.app @t48 @t40) @t63)))) % 0.85/1.03 (assume @p119 (forall @t41 (or @t82 @t72 @t46 @t74 @t83))) % 0.85/1.03 (assume @p120 (forall @t41 (or @t47 @t62 @t92 (= (tptp.hd @t61) @t93)))) % 0.85/1.03 (assume @p121 (forall @t41 (or @t96 @t62 @t46 @t94 @t92))) % 0.85/1.03 (assume @p122 (forall @t41 (or @t99 @t62 @t46 @t97 @t92))) % 0.85/1.03 (assume @p123 (forall @t41 (or @t80 (not @t81) @t46 @t72 @t70))) % 0.85/1.03 (assume @p124 (forall @t41 (or @t100 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t70))) % 0.85/1.03 (assume @p125 (forall @t41 (or @t101 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t70))) % 0.85/1.03 (assume @p126 @t105) % 0.85/1.03 (assume @p127 (forall @t41 (or @t82 @t106 @t46 @t72 @t70))) % 0.85/1.03 (assume @p128 (forall @t41 (or @t101 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.85/1.03 (assume @p129 @t109) % 0.85/1.03 (assume @p130 (forall @t41 (or @t47 @t62 @t92 (= (tptp.tl @t61) (tptp.app @t110 @t2))))) % 0.85/1.03 (assume @p131 (forall @t41 (or @t96 @t62 @t46 @t111 @t92))) % 0.85/1.03 (assume @p132 (forall @t41 (or @t99 @t62 @t46 @t112 @t92))) % 0.85/1.03 (assume @p133 (forall @t116 (or @t101 @t115 @t62 @t47 (tptp.rearsegP @t114 @t40)))) % 0.85/1.03 (assume @p134 (forall @t116 (or @t103 @t115 @t62 @t47 (tptp.frontsegP @t117 @t40)))) % 0.85/1.03 (assume @p135 (forall @t116 (or @t84 @t115 @t72 @t46 (tptp.memberP @t118 @t2)))) % 0.85/1.03 (assume @p136 (forall @t116 (or @t121 @t47 @t120 @t72 (tptp.memberP @t119 @t40)))) % 0.85/1.03 (assume @p137 (forall @t116 (or @t121 @t115 @t47 @t72 (tptp.memberP @t117 @t40)))) % 0.85/1.03 (assume @p138 (forall @t116 (or @t121 @t47 @t115 @t72 (tptp.memberP @t114 @t40)))) % 0.85/1.03 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.85/1.03 (assume @p140 (forall @t116 (or @t122 @t47 @t62 @t115 (tptp.rearsegP @t113 @t40)))) % 0.85/1.03 (assume @p141 (forall @t116 (or @t122 @t62 @t47 @t115 (tptp.frontsegP @t113 @t2)))) % 0.85/1.03 (assume @p142 (forall @t41 (or @t58 (not @t92) @t62 @t47 @t90))) % 0.85/1.03 (assume @p143 (forall @t116 (or @t77 (not (tptp.gt @t40 @t113)) @t120 @t72 @t46 (tptp.gt @t2 @t113)))) % 0.85/1.03 (assume @p144 (forall @t116 (or @t82 @t124 @t120 @t72 @t46 @t123))) % 0.85/1.03 (assume @p145 (forall @t116 (or @t80 (not (tptp.geq @t40 @t113)) @t120 @t72 @t46 (tptp.geq @t2 @t113)))) % 0.85/1.03 (assume @p146 (forall @t116 (or @t47 @t62 @t115 (= (tptp.app @t125 @t2) (tptp.app @t113 @t61))))) % 0.85/1.03 (assume @p147 (forall @t116 (or (not (= @t89 @t117)) @t62 @t47 @t115 @t126))) % 0.85/1.03 (assume @p148 (forall @t116 (or (not (= @t89 @t125)) @t47 @t62 @t115 @t127))) % 0.85/1.03 (assume @p149 (forall @t116 (or @t100 (not (tptp.segmentP @t40 @t113)) @t115 @t62 @t47 (tptp.segmentP @t2 @t113)))) % 0.85/1.03 (assume @p150 (forall @t116 (or @t101 (not (tptp.rearsegP @t40 @t113)) @t115 @t62 @t47 (tptp.rearsegP @t2 @t113)))) % 0.85/1.03 (assume @p151 (forall @t116 (or @t103 (not (tptp.frontsegP @t40 @t113)) @t115 @t62 @t47 (tptp.frontsegP @t2 @t113)))) % 0.85/1.03 (assume @p152 (forall @t116 (or @t75 @t124 @t120 @t72 @t46 @t123))) % 0.85/1.03 (assume @p153 (forall @t116 (or @t82 (not (tptp.leq @t40 @t113)) @t120 @t72 @t46 (tptp.leq @t2 @t113)))) % 0.85/1.03 (assume @p154 (forall @t116 (or @t46 @t62 @t115 (= (tptp.cons @t2 (tptp.app @t40 @t113)) (tptp.app @t63 @t113))))) % 0.85/1.03 (assume @p155 (forall @t116 (or (not (tptp.memberP @t89 @t113)) @t62 @t47 @t120 @t128 (tptp.memberP @t2 @t113)))) % 0.85/1.03 (assume @p156 (forall @t41 (or (not @t112) (not @t97) @t62 @t46 @t98 @t92))) % 0.85/1.03 (assume @p157 (forall @t41 (or (not @t111) (not @t94) @t62 @t46 @t95 @t92))) % 0.85/1.03 (assume @p158 (forall @t116 (or (not (tptp.memberP @t63 @t113)) @t62 @t46 @t120 @t128 (= @t113 @t2)))) % 0.85/1.03 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.85/1.03 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.85/1.03 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.85/1.03 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.85/1.03 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.85/1.03 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.85/1.03 (assume @p165 (forall @t41 (or @t100 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.85/1.03 (assume @p166 (forall @t41 (or @t121 @t72 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.85/1.03 (assume @p167 (forall @t133 (or @t132 @t120 @t46 @t130 @t62 @t127))) % 0.85/1.03 (assume @p168 (forall @t133 (or @t132 @t120 @t46 @t130 @t62 (= @t129 @t40)))) % 0.85/1.03 (assume @p169 (forall @t133 (or @t100 @t115 @t130 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t129 @t2) @t113) @t40)))) % 0.85/1.03 (assume @p170 @t138) % 0.85/1.03 (assume @p171 (forall @t133 (or @t139 @t130 @t62 @t120 @t46 (tptp.frontsegP @t40 @t129)))) % 0.85/1.03 (assume @p172 (forall @t133 (or (not (= @t140 @t129)) @t115 @t47 @t72 @t130 (tptp.memberP @t129 @t40)))) % 0.85/1.03 (assume @p173 (forall @t133 (or @t139 @t130 @t62 @t120 @t46 @t127))) % 0.85/1.03 (assume @p174 (forall @t41 (or (not (= @t55 @t110)) (not (= @t56 @t93)) @t47 @t62 @t92 @t83 @t54))) % 0.85/1.03 (assume @p175 (forall @t133 (or @t103 (not (= @t113 @t129)) @t62 @t47 @t141 @t120 (tptp.frontsegP @t119 (tptp.cons @t129 @t40))))) % 0.85/1.03 (assume @p176 (forall @t144 (or (not (= (tptp.app @t140 (tptp.cons @t40 @t129)) @t142)) @t130 @t115 @t47 @t72 (not (tptp.duplicatefreeP @t142)) @t143))) % 0.85/1.03 (assume @p177 (forall @t144 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t131)) @t142)) @t130 @t47 @t120 @t72 (not (tptp.equalelemsP @t142)) @t143 @t126))) % 0.85/1.03 (assume @p178 (forall @t149 (or @t148 @t143 @t115 @t47 @t141 @t72 (not (tptp.strictorderedP @t146)) @t147 @t145))) % 0.85/1.03 (assume @p179 (forall @t149 (or @t148 @t143 @t115 @t47 @t141 @t72 (not (tptp.totalorderedP @t146)) @t147 @t150))) % 0.85/1.03 (assume @p180 (forall @t149 (or @t148 @t143 @t115 @t47 @t141 @t72 (not (tptp.strictorderP @t146)) @t147 @t145 (tptp.lt @t129 @t40)))) % 0.85/1.03 (assume @p181 (forall @t149 (or @t148 @t143 @t115 @t47 @t141 @t72 (not (tptp.totalorderP @t146)) @t147 @t150 (tptp.leq @t129 @t40)))) % 0.85/1.03 (assume @p182 (forall @t149 (or @t82 @t106 (not (= (tptp.app (tptp.app @t113 (tptp.cons @t2 @t129)) (tptp.cons @t40 @t142)) @t146)) @t143 @t130 @t115 @t72 @t46 (not (tptp.cyclefreeP @t146)) @t147))) % 0.85/1.03 (assume @p183 @t151) % 0.85/1.03 (assume @p184 @t152) % 0.85/1.03 (assume @p185 @t153) % 0.85/1.03 (assume @p186 @t154) % 0.85/1.03 (assume @p187 @t155) % 0.85/1.03 (assume @p188 @t156) % 0.85/1.03 (assume @p189 (or @t158 @t157)) % 0.85/1.03 (assume @p190 (or @t158 @t159)) % 0.85/1.03 (assume @p191 (or @t160 @t157)) % 0.85/1.03 (assume @p192 (or @t161 @t157)) % 0.85/1.03 (assume @p193 (or @t162 @t157)) % 0.85/1.03 (assume @p194 (or @t160 @t159)) % 0.85/1.03 (assume @p195 (or @t161 @t159)) % 0.85/1.03 (assume @p196 (or @t162 @t159)) % 0.85/1.03 (assume @p197 (or @t164 @t163)) % 0.85/1.03 (assume @p198 @t172) % 0.85/1.03 (assume @p199 (or @t174 @t163)) % 0.85/1.03 (assume @p200 (forall @t171 (or @t174 @t169 @t168 @t167 @t166))) % 0.85/1.03 (step @p201 :rule reordering :premises (@p199) :args ((or @t163 @t174))) % 0.85/1.03 (assume-push @p631 @t156) % 0.85/1.03 (assume-push @p632 @t159) % 0.85/1.03 (assume-push @p633 @t156) % 0.85/1.03 (assume-push @p634 @t159) % 0.85/1.03 (step @p206 :rule symm :premises (@p188)) % 0.85/1.03 (step @p207 :rule trans :premises (@p632 @p206)) % 0.85/1.03 (step-pop @p635 :rule scope :premises (@p207)) % 0.85/1.03 (step-pop @p636 :rule scope :premises (@p635)) % 0.85/1.03 (step @p208 :rule process_scope :premises (@p636) :args (@t173)) % 0.85/1.03 (step @p211 :rule and_intro :premises (@p188 @p632)) % 0.85/1.03 (step @p212 :rule modus_ponens :premises (@p211 @p208)) % 0.85/1.03 (step-pop @p637 :rule scope :premises (@p212)) % 0.85/1.03 (step-pop @p638 :rule scope :premises (@p637)) % 0.85/1.03 (step @p213 :rule process_scope :premises (@p638) :args (@t173)) % 0.85/1.03 (step @p216 :rule implies_elim :premises (@p213)) % 0.85/1.03 (step @p217 :rule cnf_and_neg :args (@t175)) % 0.85/1.03 (step @p218 :rule resolution :premises (@p217 @p216) :args (true @t175)) % 0.85/1.03 (step @p219 :rule reordering :premises (@p218) :args ((or @t173 @t177 @t176))) % 0.85/1.03 (step @p220 :rule reordering :premises (@p194) :args ((or @t159 @t160))) % 0.85/1.03 (step @p221 :rule reordering :premises (@p195) :args ((or @t159 @t161))) % 0.85/1.03 (step @p222 :rule instantiate :premises (@p60) :args (@t178)) % 0.85/1.03 (step @p223 :rule aci_norm :args ((= (or false @t179 @t62 @t62) (or @t179 @t62)))) % 0.85/1.03 (step @p224 :rule refl :args (@t62)) % 0.85/1.03 (step @p225 :rule refl :args (@t179)) % 0.85/1.03 (step @p226 :rule evaluate :args ((not true))) % 0.85/1.03 (step @p227 :rule eq-refl :args (@t40)) % 0.85/1.03 (step @p228 :rule cong :premises (@p227) :args (@t180)) % 0.85/1.03 (step @p229 :rule trans :premises (@p228 @p226)) % 0.85/1.03 (step @p230 :rule nary_cong :premises (@p229 @p225 @p224 @p224) :args (@t181)) % 0.85/1.03 (step @p231 :rule trans :premises (@p230 @p223)) % 0.85/1.03 (step @p232 :rule cong :premises (@p231) :args ((forall @t182 @t181))) % 0.85/1.03 (step @p233 :rule quant-var-elim-eq :args ((= (forall @t4 @t183) @t181))) % 0.85/1.03 (step @p234 :rule aci_norm :args ((= @t87 @t183))) % 0.85/1.03 (step @p235 :rule cong :premises (@p234) :args (@t184)) % 0.85/1.03 (step @p236 :rule trans :premises (@p235 @p233)) % 0.85/1.03 (step @p237 :rule cong :premises (@p236) :args (@t185)) % 0.85/1.03 (step @p238 :rule quant-merge-prenex :args ((= @t185 @t186))) % 0.85/1.03 (step @p239 :rule symm :premises (@p238)) % 0.85/1.03 (step @p240 :rule quant_var_reordering :args ((= @t88 @t186))) % 0.85/1.03 (step @p241 :rule trans :premises (@p240 @p239 @p237)) % 0.85/1.03 (step @p242 :rule trans :premises (@p241 @p232)) % 0.85/1.03 (step @p243 :rule eq_resolve :premises (@p113 @p242)) % 0.85/1.03 (step @p244 :rule instantiate :premises (@p243) :args ((@list tptp.sk1))) % 0.85/1.03 (step @p245 :rule cnf_or_pos :args (@t190)) % 0.85/1.03 (step @p246 :rule reordering :premises (@p245) :args ((or @t187 @t189 (not @t190)))) % 0.85/1.03 (step @p247 :rule chain_m_resolution :premises (@p246 @p183 @p244) :args (@t189 @t191 (@list @t151 @t190))) % 0.85/1.03 (step @p248 :rule refl :args (@t192)) % 0.85/1.03 (step @p249 :rule bool-double-not-elim :args (@t188)) % 0.85/1.03 (step @p250 :rule refl :args (@t176)) % 0.85/1.03 (step @p251 :rule refl :args (@t193)) % 0.85/1.03 (step @p252 :rule refl :args (@t177)) % 0.85/1.03 (step @p253 :rule refl :args (@t194)) % 0.85/1.03 (step @p254 :rule nary_cong :premises (@p253 @p252 @p251 @p250 @p249 @p248) :args ((or @t194 @t177 @t193 @t176 (not @t189) @t192))) % 0.85/1.03 (assume-push @p639 @t155) % 0.85/1.03 (assume-push @p640 @t156) % 0.85/1.03 (assume-push @p641 @t157) % 0.85/1.03 (assume-push @p642 @t159) % 0.85/1.03 (assume-push @p643 @t189) % 0.85/1.03 (assume-push @p644 @t189) % 0.85/1.03 (assume-push @p645 @t156) % 0.85/1.03 (assume-push @p646 @t159) % 0.85/1.03 (assume-push @p647 @t157) % 0.85/1.03 (assume-push @p648 @t155) % 0.85/1.03 (step @p265 :rule false_intro :premises (@p247)) % 0.85/1.03 (step @p206 :rule symm :premises (@p188)) % 0.85/1.03 (step @p266 :rule trans :premises (@p642 @p206)) % 0.85/1.03 (step @p267 :rule symm :premises (@p641)) % 0.85/1.03 (step @p268 :rule trans :premises (@p187 @p267 @p642 @p206)) % 0.85/1.03 (step @p269 :rule cong :premises (@p268 @p266) :args (@t163)) % 0.85/1.03 (step @p270 :rule trans :premises (@p269 @p265)) % 0.85/1.03 (step @p271 :rule false_elim :premises (@p270)) % 0.85/1.03 (step-pop @p649 :rule scope :premises (@p271)) % 0.85/1.03 (step-pop @p650 :rule scope :premises (@p649)) % 0.85/1.03 (step-pop @p651 :rule scope :premises (@p650)) % 0.85/1.03 (step-pop @p652 :rule scope :premises (@p651)) % 0.85/1.03 (step-pop @p653 :rule scope :premises (@p652)) % 0.85/1.03 (step @p272 :rule process_scope :premises (@p653) :args (@t192)) % 0.85/1.03 (step @p278 :rule and_intro :premises (@p247 @p188 @p642 @p641 @p187)) % 0.85/1.03 (step @p279 :rule modus_ponens :premises (@p278 @p272)) % 0.85/1.03 (step-pop @p654 :rule scope :premises (@p279)) % 0.85/1.03 (step-pop @p655 :rule scope :premises (@p654)) % 0.85/1.03 (step-pop @p656 :rule scope :premises (@p655)) % 0.85/1.03 (step-pop @p657 :rule scope :premises (@p656)) % 0.85/1.03 (step-pop @p658 :rule scope :premises (@p657)) % 0.85/1.03 (step @p280 :rule process_scope :premises (@p658) :args (@t192)) % 0.85/1.03 (step @p286 :rule implies_elim :premises (@p280)) % 0.85/1.03 (step @p287 :rule cnf_and_neg :args (@t195)) % 0.85/1.03 (step @p288 :rule resolution :premises (@p287 @p286) :args (true @t195)) % 0.85/1.03 (step @p289 :rule eq_resolve :premises (@p288 @p254)) % 0.85/1.03 (step @p290 :rule reordering :premises (@p289) :args ((or @t194 @t177 @t193 @t176 @t192 @t188))) % 0.85/1.03 (step @p291 :rule chain_m_resolution :premises (@p201 @p290 @p247 @p188 @p187 @p219 @p188 @p190 @p189) :args (@t158 (@list true true false false false false false false) (@list @t163 @t188 @t156 @t155 @t173 @t156 @t159 @t157))) % 0.85/1.03 (step @p292 :rule cnf_or_pos :args (@t198)) % 0.85/1.03 (step @p293 :rule reordering :premises (@p292) :args ((or @t197 @t196 (not @t198)))) % 0.85/1.03 (step @p294 :rule chain_m_resolution :premises (@p293 @p291 @p222) :args (@t196 @t191 (@list @t158 @t198))) % 0.85/1.03 (assume-push @p659 @t155) % 0.85/1.03 (assume-push @p660 @t164) % 0.85/1.03 (assume-push @p661 @t196) % 0.85/1.03 (assume-push @p662 @t196) % 0.85/1.03 (assume-push @p663 @t164) % 0.85/1.03 (assume-push @p664 @t155) % 0.85/1.03 (step @p301 :rule true_intro :premises (@p661)) % 0.85/1.03 (step @p302 :rule symm :premises (@p660)) % 0.85/1.03 (step @p303 :rule symm :premises (@p187)) % 0.85/1.03 (step @p304 :rule trans :premises (@p303 @p302)) % 0.85/1.03 (step @p305 :rule refl :args (tptp.sk5)) % 0.85/1.03 (step @p306 :rule cong :premises (@p305 @p304) :args (@t199)) % 0.85/1.03 (step @p307 :rule trans :premises (@p306 @p301)) % 0.85/1.03 (step @p308 :rule true_elim :premises (@p307)) % 0.85/1.03 (step-pop @p665 :rule scope :premises (@p308)) % 0.85/1.03 (step-pop @p666 :rule scope :premises (@p665)) % 0.85/1.03 (step-pop @p667 :rule scope :premises (@p666)) % 0.85/1.03 (step @p309 :rule process_scope :premises (@p667) :args (@t199)) % 0.85/1.03 (step @p313 :rule and_intro :premises (@p661 @p660 @p187)) % 0.85/1.03 (step @p314 :rule modus_ponens :premises (@p313 @p309)) % 0.85/1.03 (step-pop @p668 :rule scope :premises (@p314)) % 0.85/1.03 (step-pop @p669 :rule scope :premises (@p668)) % 0.85/1.03 (step-pop @p670 :rule scope :premises (@p669)) % 0.85/1.03 (step @p315 :rule process_scope :premises (@p670) :args (@t199)) % 0.85/1.03 (step @p319 :rule implies_elim :premises (@p315)) % 0.85/1.03 (step @p320 :rule cnf_and_neg :args (@t200)) % 0.85/1.03 (step @p321 :rule resolution :premises (@p320 @p319) :args (true @t200)) % 0.85/1.03 (step @p322 :rule reordering :premises (@p321) :args ((or @t194 @t201 @t199 (not @t196)))) % 0.85/1.03 (step @p323 :rule eq-symm :args (@t40 @t2)) % 0.85/1.03 (step @p324 :rule refl :args (@t47)) % 0.85/1.03 (step @p325 :rule refl :args (@t102)) % 0.85/1.03 (step @p326 :rule refl :args (@t103)) % 0.85/1.03 (step @p327 :rule nary_cong :premises (@p326 @p325 @p324 @p224 @p323) :args (@t104)) % 0.85/1.03 (step @p328 :rule cong :premises (@p327) :args (@t105)) % 0.85/1.03 (step @p329 :rule eq_resolve :premises (@p126 @p328)) % 0.85/1.03 (step @p330 :rule instantiate :premises (@p329) :args (@t202)) % 0.85/1.03 (step @p331 :rule cnf_or_pos :args (@t207)) % 0.85/1.03 (step @p332 :rule reordering :premises (@p331) :args ((or @t204 @t197 @t206 @t205 @t203 (not @t207)))) % 0.85/1.03 (step @p333 :rule instantiate :premises (@p243) :args (@t178)) % 0.85/1.03 (step @p334 :rule cnf_or_pos :args (@t210)) % 0.85/1.03 (step @p335 :rule reordering :premises (@p334) :args ((or @t197 @t209 (not @t210)))) % 0.85/1.03 (step @p336 :rule chain_m_resolution :premises (@p335 @p291 @p333) :args (@t209 @t191 (@list @t158 @t210))) % 0.85/1.03 (step @p337 :rule refl :args (@t211)) % 0.85/1.03 (step @p338 :rule bool-double-not-elim :args (@t208)) % 0.85/1.03 (step @p339 :rule refl :args (@t201)) % 0.85/1.03 (step @p340 :rule refl :args (@t212)) % 0.85/1.03 (step @p341 :rule nary_cong :premises (@p253 @p340 @p339 @p338 @p337) :args ((or @t194 @t212 @t201 (not @t209) @t211))) % 0.85/1.03 (assume-push @p671 @t160) % 0.85/1.03 (assume-push @p672 @t164) % 0.85/1.03 (assume-push @p673 @t155) % 0.85/1.03 (assume-push @p674 @t203) % 0.85/1.03 (assume-push @p675 @t209) % 0.85/1.03 (step @p347 :rule evaluate :args (@t213)) % 0.85/1.03 (step @p348 :rule true_intro :premises (@p671)) % 0.85/1.03 (step @p349 :rule symm :premises (@p672)) % 0.85/1.03 (step @p303 :rule symm :premises (@p187)) % 0.85/1.03 (step @p350 :rule symm :premises (@p674)) % 0.85/1.03 (step @p351 :rule trans :premises (@p350 @p303 @p349)) % 0.85/1.03 (step @p305 :rule refl :args (tptp.sk5)) % 0.85/1.03 (step @p352 :rule cong :premises (@p305 @p351) :args (@t208)) % 0.85/1.03 (step @p353 :rule false_intro :premises (@p675)) % 0.85/1.03 (step @p354 :rule symm :premises (@p353)) % 0.85/1.03 (step @p355 :rule trans :premises (@p354 @p352 @p348)) % 0.85/1.03 (step @p356 false :rule eq_resolve :premises (@p355 @p347)) % 0.85/1.03 (step-pop @p676 :rule scope :premises (@p356)) % 0.85/1.03 (step-pop @p677 :rule scope :premises (@p676)) % 0.85/1.03 (step-pop @p678 :rule scope :premises (@p677)) % 0.85/1.03 (step-pop @p679 :rule scope :premises (@p678)) % 0.85/1.03 (step-pop @p680 :rule scope :premises (@p679)) % 0.85/1.03 (step @p357 :rule process_scope :premises (@p680) :args (false)) % 0.85/1.03 (assume-push @p681 @t155) % 0.85/1.03 (assume-push @p682 @t160) % 0.85/1.03 (assume-push @p683 @t164) % 0.85/1.03 (assume-push @p684 @t209) % 0.85/1.03 (assume-push @p685 @t203) % 0.85/1.03 (step @p368 :rule and_intro :premises (@p682 @p683 @p187 @p685 @p684)) % 0.85/1.03 (step-pop @p686 :rule scope :premises (@p368)) % 0.85/1.03 (step-pop @p687 :rule scope :premises (@p686)) % 0.85/1.03 (step-pop @p688 :rule scope :premises (@p687)) % 0.85/1.03 (step-pop @p689 :rule scope :premises (@p688)) % 0.85/1.03 (step-pop @p690 :rule scope :premises (@p689)) % 0.85/1.03 (step @p369 :rule process_scope :premises (@p690) :args (@t214)) % 0.85/1.03 (step @p375 :rule implies_elim :premises (@p369)) % 0.85/1.03 (step @p376 :rule resolution :premises (@p375 @p357) :args (true @t214)) % 0.85/1.03 (step @p377 :rule not_and :premises (@p376)) % 0.85/1.03 (step @p378 :rule eq_resolve :premises (@p377 @p341)) % 0.85/1.03 (step @p379 :rule chain_m_resolution :premises (@p378 @p336 @p187 @p332 @p330 @p291 @p186 @p322 @p294 @p187 @p221 @p220 @p219 @p188 @p201 @p197) :args (@t163 (@list true false false false false false false false false false false true false true false) (@list @t208 @t155 @t203 @t207 @t158 @t154 @t199 @t196 @t155 @t161 @t160 @t159 @t156 @t173 @t164))) % 0.85/1.03 (step @p380 :rule instantiate :premises (@p243) :args ((@list tptp.sk2))) % 0.85/1.03 (step @p381 :rule cnf_or_pos :args (@t218)) % 0.85/1.03 (step @p382 :rule reordering :premises (@p381) :args ((or @t215 @t217 (not @t218)))) % 0.85/1.03 (step @p383 :rule chain_m_resolution :premises (@p382 @p184 @p380) :args (@t217 @t191 (@list @t152 @t218))) % 0.85/1.03 (step @p384 :rule quant-miniscope-or :args ((= (forall @t171 @t221) (or @t164 @t220)))) % 0.85/1.03 (step @p385 :rule aci_norm :args ((= @t170 @t221))) % 0.85/1.03 (step @p386 :rule cong :premises (@p385) :args (@t172)) % 0.85/1.03 (step @p387 :rule trans :premises (@p386 @p384)) % 0.85/1.03 (step @p388 :rule eq_resolve :premises (@p198 @p387)) % 0.85/1.03 (assume-push @p691 @t220) % 0.85/1.03 (step @p390 :rule instantiate :premises (@p691) :args (@t178)) % 0.85/1.03 (step-pop @p692 :rule scope :premises (@p390)) % 0.85/1.03 (step @p391 :rule process_scope :premises (@p692) :args (@t226)) % 0.85/1.03 (step @p393 :rule implies_elim :premises (@p391)) % 0.85/1.03 (step @p394 :rule bool-double-not-elim :args (@t164)) % 0.85/1.03 (step @p395 :rule nary_cong :premises (@p253 @p394 @p251) :args ((or @t194 (not @t201) @t193))) % 0.85/1.03 (assume-push @p693 @t155) % 0.85/1.03 (assume-push @p694 @t201) % 0.85/1.03 (assume-push @p695 @t201) % 0.85/1.03 (assume-push @p696 @t155) % 0.85/1.03 (step @p400 :rule false_intro :premises (@p694)) % 0.85/1.03 (step @p303 :rule symm :premises (@p187)) % 0.85/1.03 (step @p401 :rule refl :args (tptp.nil)) % 0.85/1.03 (step @p402 :rule cong :premises (@p401 @p303) :args (@t157)) % 0.85/1.03 (step @p403 :rule trans :premises (@p402 @p400)) % 0.85/1.03 (step @p404 :rule false_elim :premises (@p403)) % 0.85/1.03 (step-pop @p697 :rule scope :premises (@p404)) % 0.85/1.03 (step-pop @p698 :rule scope :premises (@p697)) % 0.85/1.03 (step @p405 :rule process_scope :premises (@p698) :args (@t193)) % 0.85/1.03 (step @p408 :rule and_intro :premises (@p694 @p187)) % 0.85/1.03 (step @p409 :rule modus_ponens :premises (@p408 @p405)) % 0.85/1.03 (step-pop @p699 :rule scope :premises (@p409)) % 0.85/1.03 (step-pop @p700 :rule scope :premises (@p699)) % 0.85/1.03 (step @p410 :rule process_scope :premises (@p700) :args (@t193)) % 0.85/1.03 (step @p413 :rule implies_elim :premises (@p410)) % 0.85/1.03 (step @p414 :rule cnf_and_neg :args (@t227)) % 0.85/1.03 (step @p415 :rule resolution :premises (@p414 @p413) :args (true @t227)) % 0.85/1.03 (step @p416 :rule eq_resolve :premises (@p415 @p395)) % 0.85/1.03 (step @p417 :rule reordering :premises (@p416) :args ((or @t164 @t194 @t193))) % 0.85/1.03 (step @p418 :rule reordering :premises (@p191) :args ((or @t157 @t160))) % 0.85/1.03 (step @p419 :rule reordering :premises (@p192) :args ((or @t157 @t161))) % 0.85/1.03 (step @p420 :rule reordering :premises (@p193) :args ((or @t157 @t162))) % 0.85/1.03 (step @p421 :rule eq-symm :args (@t107 @t2)) % 0.85/1.03 (step @p422 :rule nary_cong :premises (@p326 @p224 @p324 @p421) :args (@t108)) % 0.85/1.03 (step @p423 :rule cong :premises (@p422) :args (@t109)) % 0.85/1.03 (step @p424 :rule eq_resolve :premises (@p129 @p423)) % 0.85/1.03 (step @p425 :rule instantiate :premises (@p424) :args (@t202)) % 0.85/1.03 (step @p426 :rule cnf_or_pos :args (@t231)) % 0.85/1.03 (step @p427 :rule reordering :premises (@p426) :args ((or @t204 @t197 @t206 @t230 (not @t231)))) % 0.85/1.03 (step @p428 :rule instantiate :premises (@p424) :args (@t232)) % 0.85/1.03 (step @p429 :rule cnf_or_pos :args (@t238)) % 0.85/1.03 (step @p430 :rule reordering :premises (@p429) :args ((or @t236 @t197 @t237 @t235 (not @t238)))) % 0.85/1.03 (step @p431 :rule eq-symm :args (@t51 @t2)) % 0.85/1.03 (step @p432 :rule nary_cong :premises (@p324 @p431) :args (@t52)) % 0.85/1.03 (step @p433 :rule cong :premises (@p432) :args (@t53)) % 0.85/1.03 (step @p434 :rule eq_resolve :premises (@p74 @p433)) % 0.85/1.03 (step @p435 :rule instantiate :premises (@p434) :args (@t178)) % 0.85/1.03 (step @p436 :rule cnf_or_pos :args (@t241)) % 0.85/1.03 (step @p437 :rule reordering :premises (@p436) :args ((or @t197 @t240 (not @t241)))) % 0.85/1.03 (step @p438 :rule chain_m_resolution :premises (@p437 @p291 @p435) :args (@t240 @t191 (@list @t158 @t241))) % 0.85/1.03 (assume-push @p701 @t152) % 0.85/1.03 (assume-push @p702 @t155) % 0.85/1.03 (assume-push @p703 @t240) % 0.85/1.03 (assume-push @p704 @t230) % 0.85/1.03 (assume-push @p705 @t152) % 0.85/1.03 (assume-push @p706 @t155) % 0.85/1.03 (assume-push @p707 @t230) % 0.85/1.03 (assume-push @p708 @t240) % 0.85/1.03 (step @p447 :rule true_intro :premises (@p184)) % 0.85/1.03 (step @p303 :rule symm :premises (@p187)) % 0.85/1.03 (step @p448 :rule symm :premises (@p704)) % 0.85/1.03 (step @p449 :rule refl :args (@t228)) % 0.85/1.03 (step @p450 :rule symm :premises (@p703)) % 0.85/1.03 (step @p451 :rule cong :premises (@p450 @p449) :args (@t242)) % 0.85/1.03 (step @p452 :rule trans :premises (@p451 @p448 @p303)) % 0.85/1.03 (step @p453 :rule cong :premises (@p452) :args (@t243)) % 0.85/1.03 (step @p454 :rule trans :premises (@p453 @p447)) % 0.85/1.03 (step @p455 :rule true_elim :premises (@p454)) % 0.85/1.03 (step-pop @p709 :rule scope :premises (@p455)) % 0.85/1.03 (step-pop @p710 :rule scope :premises (@p709)) % 0.85/1.03 (step-pop @p711 :rule scope :premises (@p710)) % 0.85/1.03 (step-pop @p712 :rule scope :premises (@p711)) % 0.85/1.03 (step @p456 :rule process_scope :premises (@p712) :args (@t243)) % 0.85/1.03 (step @p461 :rule and_intro :premises (@p184 @p187 @p704 @p703)) % 0.85/1.03 (step @p462 :rule modus_ponens :premises (@p461 @p456)) % 0.85/1.03 (step-pop @p713 :rule scope :premises (@p462)) % 0.85/1.03 (step-pop @p714 :rule scope :premises (@p713)) % 0.85/1.03 (step-pop @p715 :rule scope :premises (@p714)) % 0.85/1.03 (step-pop @p716 :rule scope :premises (@p715)) % 0.85/1.03 (step @p463 :rule process_scope :premises (@p716) :args (@t243)) % 0.85/1.03 (step @p468 :rule implies_elim :premises (@p463)) % 0.85/1.03 (step @p469 :rule cnf_and_neg :args (@t244)) % 0.85/1.03 (step @p470 :rule resolution :premises (@p469 @p468) :args (true @t244)) % 0.85/1.03 (assume-push @p717 @t151) % 0.85/1.03 (assume-push @p718 @t156) % 0.85/1.03 (assume-push @p719 @t240) % 0.85/1.03 (assume-push @p720 @t235) % 0.85/1.03 (assume-push @p721 @t151) % 0.85/1.03 (assume-push @p722 @t156) % 0.85/1.03 (assume-push @p723 @t235) % 0.85/1.03 (assume-push @p724 @t240) % 0.85/1.03 (step @p479 :rule true_intro :premises (@p183)) % 0.85/1.03 (step @p206 :rule symm :premises (@p188)) % 0.85/1.03 (step @p480 :rule symm :premises (@p720)) % 0.85/1.03 (step @p481 :rule refl :args (@t233)) % 0.85/1.03 (step @p482 :rule symm :premises (@p719)) % 0.85/1.03 (step @p483 :rule cong :premises (@p482 @p481) :args (@t245)) % 0.85/1.03 (step @p484 :rule trans :premises (@p483 @p480 @p206)) % 0.85/1.03 (step @p485 :rule cong :premises (@p484) :args (@t246)) % 0.85/1.03 (step @p486 :rule trans :premises (@p485 @p479)) % 0.85/1.03 (step @p487 :rule true_elim :premises (@p486)) % 0.85/1.03 (step-pop @p725 :rule scope :premises (@p487)) % 0.85/1.03 (step-pop @p726 :rule scope :premises (@p725)) % 0.85/1.03 (step-pop @p727 :rule scope :premises (@p726)) % 0.85/1.03 (step-pop @p728 :rule scope :premises (@p727)) % 0.85/1.03 (step @p488 :rule process_scope :premises (@p728) :args (@t246)) % 0.85/1.03 (step @p493 :rule and_intro :premises (@p183 @p188 @p720 @p719)) % 0.85/1.03 (step @p494 :rule modus_ponens :premises (@p493 @p488)) % 0.85/1.03 (step-pop @p729 :rule scope :premises (@p494)) % 0.85/1.03 (step-pop @p730 :rule scope :premises (@p729)) % 0.85/1.03 (step-pop @p731 :rule scope :premises (@p730)) % 0.85/1.03 (step-pop @p732 :rule scope :premises (@p731)) % 0.85/1.03 (step @p495 :rule process_scope :premises (@p732) :args (@t246)) % 0.85/1.03 (step @p500 :rule implies_elim :premises (@p495)) % 0.85/1.03 (step @p501 :rule cnf_and_neg :args (@t247)) % 0.85/1.03 (step @p502 :rule resolution :premises (@p501 @p500) :args (true @t247)) % 0.85/1.03 (step @p503 :rule instantiate :premises (@p51) :args (@t202)) % 0.85/1.03 (step @p504 :rule aci_norm :args ((= (or false @t115 @t47 @t62 @t249 @t248) (or @t115 @t47 @t62 @t249 @t248)))) % 0.85/1.03 (step @p505 :rule refl :args (@t248)) % 0.85/1.03 (step @p506 :rule refl :args (@t249)) % 0.85/1.03 (step @p507 :rule refl :args (@t115)) % 0.85/1.03 (step @p508 :rule eq-refl :args (@t135)) % 0.85/1.03 (step @p509 :rule cong :premises (@p508) :args (@t250)) % 0.85/1.03 (step @p510 :rule trans :premises (@p509 @p226)) % 0.85/1.03 (step @p511 :rule nary_cong :premises (@p510 @p507 @p324 @p224 @p506 @p505) :args (@t251)) % 0.85/1.03 (step @p512 :rule trans :premises (@p511 @p504)) % 0.85/1.03 (step @p513 :rule cong :premises (@p512) :args ((forall @t116 @t251))) % 0.85/1.03 (step @p514 :rule quant-var-elim-eq :args ((= (forall @t254 @t253) @t251))) % 0.85/1.03 (step @p515 :rule aci_norm :args ((= @t255 @t253))) % 0.85/1.03 (step @p516 :rule cong :premises (@p515) :args (@t256)) % 0.85/1.03 (step @p517 :rule trans :premises (@p516 @p514)) % 0.85/1.03 (step @p518 :rule cong :premises (@p517) :args (@t257)) % 0.85/1.03 (step @p519 :rule quant-merge-prenex :args ((= @t257 (forall @t133 @t255)))) % 0.85/1.03 (step @p520 :rule symm :premises (@p519)) % 0.85/1.03 (step @p521 :rule trans :premises (@p520 @p518)) % 0.85/1.03 (step @p522 :rule trans :premises (@p521 @p513)) % 0.85/1.03 (step @p523 :rule refl :args (@t134)) % 0.85/1.03 (step @p524 :rule refl :args (@t130)) % 0.85/1.03 (step @p525 :rule eq-symm :args (@t135 @t129)) % 0.85/1.03 (step @p526 :rule cong :premises (@p525) :args (@t136)) % 0.85/1.03 (step @p527 :rule nary_cong :premises (@p526 @p507 @p324 @p224 @p524 @p523) :args (@t137)) % 0.85/1.03 (step @p528 :rule cong :premises (@p527) :args (@t138)) % 0.85/1.03 (step @p529 :rule trans :premises (@p528 @p522)) % 0.85/1.03 (step @p530 :rule eq_resolve :premises (@p170 @p529)) % 0.85/1.03 (step @p531 :rule instantiate :premises (@p530) :args ((@list tptp.nil tptp.sk5 @t228))) % 0.85/1.03 (step @p532 :rule cnf_or_pos :args (@t263)) % 0.85/1.03 (step @p533 :rule reordering :premises (@p532) :args ((or @t260 @t197 @t262 @t259 @t258 (not @t263)))) % 0.85/1.03 (step @p534 :rule instantiate :premises (@p51) :args (@t232)) % 0.85/1.03 (step @p535 :rule instantiate :premises (@p530) :args ((@list tptp.nil tptp.sk5 @t233))) % 0.85/1.03 (step @p536 :rule cnf_or_pos :args (@t268)) % 0.85/1.03 (step @p537 :rule reordering :premises (@p536) :args ((or @t260 @t197 @t267 @t265 @t264 (not @t268)))) % 0.85/1.03 (assume-push @p733 @t155) % 0.85/1.03 (assume-push @p734 @t240) % 0.85/1.03 (assume-push @p735 @t230) % 0.85/1.03 (assume-push @p736 @t258) % 0.85/1.03 (assume-push @p737 @t258) % 0.85/1.03 (assume-push @p738 @t240) % 0.85/1.03 (assume-push @p739 @t230) % 0.85/1.03 (assume-push @p740 @t155) % 0.85/1.03 (step @p546 :rule true_intro :premises (@p736)) % 0.85/1.03 (step @p305 :rule refl :args (tptp.sk5)) % 0.85/1.03 (step @p449 :rule refl :args (@t228)) % 0.85/1.03 (step @p547 :rule cong :premises (@p734 @p449) :args (@t229)) % 0.85/1.03 (step @p548 :rule trans :premises (@p187 @p735 @p547)) % 0.85/1.03 (step @p549 :rule cong :premises (@p548 @p305) :args (@t224)) % 0.85/1.03 (step @p550 :rule trans :premises (@p549 @p546)) % 0.85/1.03 (step @p551 :rule true_elim :premises (@p550)) % 0.85/1.03 (step-pop @p741 :rule scope :premises (@p551)) % 0.85/1.03 (step-pop @p742 :rule scope :premises (@p741)) % 0.85/1.03 (step-pop @p743 :rule scope :premises (@p742)) % 0.85/1.03 (step-pop @p744 :rule scope :premises (@p743)) % 0.85/1.03 (step @p552 :rule process_scope :premises (@p744) :args (@t224)) % 0.85/1.03 (step @p557 :rule and_intro :premises (@p736 @p734 @p735 @p187)) % 0.85/1.03 (step @p558 :rule modus_ponens :premises (@p557 @p552)) % 0.85/1.03 (step-pop @p745 :rule scope :premises (@p558)) % 0.85/1.03 (step-pop @p746 :rule scope :premises (@p745)) % 0.85/1.03 (step-pop @p747 :rule scope :premises (@p746)) % 0.85/1.03 (step-pop @p748 :rule scope :premises (@p747)) % 0.85/1.03 (step @p559 :rule process_scope :premises (@p748) :args (@t224)) % 0.85/1.03 (step @p564 :rule implies_elim :premises (@p559)) % 0.85/1.03 (step @p565 :rule cnf_and_neg :args (@t269)) % 0.85/1.03 (step @p566 :rule resolution :premises (@p565 @p564) :args (true @t269)) % 0.85/1.03 (step @p567 :rule reordering :premises (@p566) :args ((or @t194 @t270 (not @t230) @t224 (not @t258)))) % 0.85/1.03 (assume-push @p749 @t156) % 0.85/1.03 (assume-push @p750 @t240) % 0.85/1.03 (assume-push @p751 @t235) % 0.85/1.03 (assume-push @p752 @t264) % 0.85/1.03 (assume-push @p753 @t264) % 0.85/1.03 (assume-push @p754 @t240) % 0.85/1.03 (assume-push @p755 @t235) % 0.85/1.03 (assume-push @p756 @t156) % 0.85/1.03 (step @p576 :rule true_intro :premises (@p752)) % 0.85/1.03 (step @p305 :rule refl :args (tptp.sk5)) % 0.85/1.03 (step @p481 :rule refl :args (@t233)) % 0.85/1.03 (step @p577 :rule cong :premises (@p750 @p481) :args (@t234)) % 0.85/1.03 (step @p578 :rule trans :premises (@p188 @p751 @p577)) % 0.85/1.03 (step @p579 :rule cong :premises (@p578 @p305) :args (@t222)) % 0.85/1.03 (step @p580 :rule trans :premises (@p579 @p576)) % 0.85/1.03 (step @p581 :rule true_elim :premises (@p580)) % 0.85/1.03 (step-pop @p757 :rule scope :premises (@p581)) % 0.85/1.03 (step-pop @p758 :rule scope :premises (@p757)) % 0.85/1.03 (step-pop @p759 :rule scope :premises (@p758)) % 0.85/1.03 (step-pop @p760 :rule scope :premises (@p759)) % 0.85/1.03 (step @p582 :rule process_scope :premises (@p760) :args (@t222)) % 0.85/1.03 (step @p587 :rule and_intro :premises (@p752 @p750 @p751 @p188)) % 0.85/1.03 (step @p588 :rule modus_ponens :premises (@p587 @p582)) % 0.85/1.03 (step-pop @p761 :rule scope :premises (@p588)) % 0.85/1.03 (step-pop @p762 :rule scope :premises (@p761)) % 0.85/1.03 (step-pop @p763 :rule scope :premises (@p762)) % 0.85/1.03 (step-pop @p764 :rule scope :premises (@p763)) % 0.85/1.03 (step @p589 :rule process_scope :premises (@p764) :args (@t222)) % 0.85/1.03 (step @p594 :rule implies_elim :premises (@p589)) % 0.85/1.03 (step @p595 :rule cnf_and_neg :args (@t271)) % 0.85/1.03 (step @p596 :rule resolution :premises (@p595 @p594) :args (true @t271)) % 0.85/1.03 (step @p597 :rule reordering :premises (@p596) :args ((or @t177 @t270 (not @t235) @t222 (not @t264)))) % 0.85/1.03 (step @p598 :rule cnf_or_pos :args (@t226)) % 0.85/1.03 (step @p599 :rule reordering :premises (@p598) :args ((or @t197 @t212 @t225 @t223 (not @t226)))) % 0.85/1.03 (step @p600 :rule chain_m_resolution :premises (@p599 @p291 @p597 @p438 @p188 @p567 @p438 @p187 @p537 @p535 @p534 @p291 @p8 @p533 @p531 @p503 @p291 @p8 @p502 @p438 @p188 @p183 @p470 @p438 @p187 @p184 @p430 @p428 @p291 @p185 @p427 @p425 @p291 @p186 @p420 @p419 @p418 @p417 @p187 @p393 @p388) :args (@t164 (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true false false false) (@list @t158 @t222 @t240 @t156 @t224 @t240 @t155 @t264 @t268 @t266 @t158 @t1 @t258 @t263 @t261 @t158 @t1 @t246 @t240 @t156 @t151 @t243 @t240 @t155 @t152 @t235 @t238 @t158 @t153 @t230 @t231 @t158 @t154 @t162 @t161 @t160 @t157 @t155 @t226 @t220))) % 0.85/1.03 (step @p601 :rule bool-double-not-elim :args (@t216)) % 0.85/1.03 (step @p602 :rule nary_cong :premises (@p339 @p248 @p601) :args ((or @t201 @t192 (not @t217)))) % 0.85/1.03 (assume-push @p765 @t163) % 0.85/1.03 (assume-push @p766 @t164) % 0.85/1.03 (assume-push @p767 @t217) % 0.85/1.03 (step @p347 :rule evaluate :args (@t213)) % 0.85/1.03 (step @p606 :rule true_intro :premises (@p765)) % 0.85/1.03 (step @p607 :rule symm :premises (@p766)) % 0.85/1.03 (step @p608 :rule refl :args (tptp.sk2)) % 0.85/1.03 (step @p609 :rule cong :premises (@p608 @p607) :args (@t216)) % 0.85/1.03 (step @p610 :rule false_intro :premises (@p383)) % 0.85/1.03 (step @p611 :rule symm :premises (@p610)) % 0.85/1.03 (step @p612 :rule trans :premises (@p611 @p609 @p606)) % 0.85/1.03 (step @p613 false :rule eq_resolve :premises (@p612 @p347)) % 0.85/1.03 (step-pop @p768 :rule scope :premises (@p613)) % 0.85/1.03 (step-pop @p769 :rule scope :premises (@p768)) % 0.85/1.03 (step-pop @p770 :rule scope :premises (@p769)) % 0.85/1.03 (step @p614 :rule process_scope :premises (@p770) :args (false)) % 0.85/1.03 (assume-push @p771 @t164) % 0.85/1.03 (assume-push @p772 @t163) % 0.85/1.03 (assume-push @p773 @t217) % 0.85/1.03 (step @p621 :rule and_intro :premises (@p772 @p771 @p383)) % 0.85/1.03 (step-pop @p774 :rule scope :premises (@p621)) % 0.85/1.03 (step-pop @p775 :rule scope :premises (@p774)) % 0.85/1.03 (step-pop @p776 :rule scope :premises (@p775)) % 0.85/1.03 (step @p622 :rule process_scope :premises (@p776) :args (@t272)) % 0.85/1.03 (step @p626 :rule implies_elim :premises (@p622)) % 0.85/1.03 (step @p627 :rule resolution :premises (@p626 @p614) :args (true @t272)) % 0.85/1.03 (step @p628 :rule not_and :premises (@p627)) % 0.85/1.03 (step @p629 :rule eq_resolve :premises (@p628 @p602)) % 0.85/1.03 (step @p630 false :rule chain_m_resolution :premises (@p629 @p600 @p383 @p379) :args (false (@list false true false) (@list @t164 @t216 @t163))) % 0.85/1.03 ) % 0.85/1.03 % SZS output end Proof % 0.85/1.03 % cvc5 exiting %------------------------------------------------------------------------------