%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC204-1 : 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 : n007.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 08:58:27 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.88s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC204-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n007.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:23:41 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.88 % SZS status Unsatisfiable % 0.36/0.88 % SZS output start Proof % 0.36/0.90 ( % 0.36/0.90 (declare-sort $$unsorted 0) % 0.36/0.90 (declare-const tptp.sk4 $$unsorted) % 0.36/0.90 (declare-const tptp.sk2 $$unsorted) % 0.36/0.90 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.nil $$unsorted) % 0.36/0.90 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.sk1 $$unsorted) % 0.36/0.90 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.skac2 $$unsorted) % 0.36/0.90 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.sk3 $$unsorted) % 0.36/0.90 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skac3 $$unsorted) % 0.36/0.90 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.90 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.36/0.90 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.90 (define @t1 () (tptp.ssList tptp.nil)) % 0.36/0.90 (define @t2 () (@var "U" $$unsorted)) % 0.36/0.90 (define @t3 () (tptp.skaf83 @t2)) % 0.36/0.90 (define @t4 () (@list @t2)) % 0.36/0.90 (define @t5 () (tptp.skaf82 @t2)) % 0.36/0.90 (define @t6 () (tptp.skaf81 @t2)) % 0.36/0.90 (define @t7 () (tptp.skaf80 @t2)) % 0.36/0.90 (define @t8 () (tptp.skaf79 @t2)) % 0.36/0.90 (define @t9 () (tptp.skaf78 @t2)) % 0.36/0.90 (define @t10 () (tptp.skaf77 @t2)) % 0.36/0.90 (define @t11 () (tptp.skaf76 @t2)) % 0.36/0.90 (define @t12 () (tptp.skaf75 @t2)) % 0.36/0.90 (define @t13 () (tptp.skaf74 @t2)) % 0.36/0.90 (define @t14 () (tptp.skaf73 @t2)) % 0.36/0.90 (define @t15 () (tptp.skaf72 @t2)) % 0.36/0.90 (define @t16 () (tptp.skaf71 @t2)) % 0.36/0.90 (define @t17 () (tptp.skaf70 @t2)) % 0.36/0.90 (define @t18 () (tptp.skaf69 @t2)) % 0.36/0.90 (define @t19 () (tptp.skaf68 @t2)) % 0.36/0.90 (define @t20 () (tptp.skaf67 @t2)) % 0.36/0.90 (define @t21 () (tptp.skaf66 @t2)) % 0.36/0.90 (define @t22 () (tptp.skaf65 @t2)) % 0.36/0.90 (define @t23 () (tptp.skaf64 @t2)) % 0.36/0.90 (define @t24 () (tptp.skaf63 @t2)) % 0.36/0.90 (define @t25 () (tptp.skaf62 @t2)) % 0.36/0.90 (define @t26 () (tptp.skaf61 @t2)) % 0.36/0.90 (define @t27 () (tptp.skaf60 @t2)) % 0.36/0.90 (define @t28 () (tptp.skaf59 @t2)) % 0.36/0.90 (define @t29 () (tptp.skaf58 @t2)) % 0.36/0.90 (define @t30 () (tptp.skaf57 @t2)) % 0.36/0.90 (define @t31 () (tptp.skaf56 @t2)) % 0.36/0.90 (define @t32 () (tptp.skaf55 @t2)) % 0.36/0.90 (define @t33 () (tptp.skaf54 @t2)) % 0.36/0.90 (define @t34 () (tptp.skaf53 @t2)) % 0.36/0.90 (define @t35 () (tptp.skaf52 @t2)) % 0.36/0.90 (define @t36 () (tptp.skaf51 @t2)) % 0.36/0.90 (define @t37 () (tptp.skaf50 @t2)) % 0.36/0.90 (define @t38 () (tptp.skaf49 @t2)) % 0.36/0.90 (define @t39 () (tptp.skaf44 @t2)) % 0.36/0.90 (define @t40 () (@var "V" $$unsorted)) % 0.36/0.90 (define @t41 () (@list @t2 @t40)) % 0.36/0.90 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.36/0.90 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.36/0.90 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.36/0.90 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.36/0.90 (define @t46 () (not (tptp.ssItem @t2))) % 0.36/0.90 (define @t47 () (not (tptp.ssList @t2))) % 0.36/0.90 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.36/0.90 (define @t49 () (tptp.ssItem @t40)) % 0.36/0.90 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.36/0.90 (define @t51 () (tptp.app tptp.nil @t2)) % 0.36/0.90 (define @t52 () (or @t47 (= @t51 @t2))) % 0.36/0.90 (define @t53 () (forall @t4 @t52)) % 0.36/0.90 (define @t54 () (= tptp.nil @t2)) % 0.36/0.90 (define @t55 () (tptp.tl @t2)) % 0.36/0.90 (define @t56 () (tptp.hd @t2)) % 0.36/0.90 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 0.36/0.90 (define @t58 () (not @t54)) % 0.36/0.90 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 0.36/0.90 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 0.36/0.90 (define @t61 () (tptp.app @t40 @t2)) % 0.36/0.90 (define @t62 () (not (tptp.ssList @t40))) % 0.36/0.90 (define @t63 () (tptp.cons @t2 @t40)) % 0.36/0.90 (define @t64 () (tptp.cyclefreeP @t2)) % 0.36/0.90 (define @t65 () (tptp.equalelemsP @t2)) % 0.36/0.90 (define @t66 () (tptp.strictorderedP @t2)) % 0.36/0.90 (define @t67 () (tptp.totalorderedP @t2)) % 0.36/0.90 (define @t68 () (tptp.strictorderP @t2)) % 0.36/0.90 (define @t69 () (tptp.totalorderP @t2)) % 0.36/0.90 (define @t70 () (tptp.tl @t63)) % 0.36/0.90 (define @t71 () (or @t46 @t62 (= @t70 @t40))) % 0.36/0.90 (define @t72 () (forall @t41 @t71)) % 0.36/0.90 (define @t73 () (not (= @t63 @t40))) % 0.36/0.90 (define @t74 () (or @t73 @t46 @t62)) % 0.36/0.90 (define @t75 () (forall @t41 @t74)) % 0.36/0.90 (define @t76 () (= @t40 @t2)) % 0.36/0.90 (define @t77 () (tptp.neq @t40 @t2)) % 0.36/0.90 (define @t78 () (or @t47 @t62 @t77 @t76)) % 0.36/0.90 (define @t79 () (forall @t41 @t78)) % 0.36/0.90 (define @t80 () (not @t49)) % 0.36/0.90 (define @t81 () (tptp.leq @t2 @t40)) % 0.36/0.90 (define @t82 () (tptp.lt @t2 @t40)) % 0.36/0.90 (define @t83 () (not @t82)) % 0.36/0.90 (define @t84 () (tptp.cons @t56 @t55)) % 0.36/0.90 (define @t85 () (or @t47 (= @t84 @t2) @t54)) % 0.36/0.90 (define @t86 () (forall @t4 @t85)) % 0.36/0.90 (define @t87 () (tptp.lt @t40 @t2)) % 0.36/0.90 (define @t88 () (not (tptp.gt @t2 @t40))) % 0.36/0.90 (define @t89 () (tptp.gt @t40 @t2)) % 0.36/0.90 (define @t90 () (tptp.leq @t40 @t2)) % 0.36/0.90 (define @t91 () (not (tptp.geq @t2 @t40))) % 0.36/0.90 (define @t92 () (tptp.geq @t40 @t2)) % 0.36/0.90 (define @t93 () (not @t81)) % 0.36/0.90 (define @t94 () (tptp.cons @t3 @t5)) % 0.36/0.90 (define @t95 () (or @t47 (= @t94 @t2) @t54)) % 0.36/0.90 (define @t96 () (forall @t4 @t95)) % 0.36/0.90 (define @t97 () (= @t2 @t40)) % 0.36/0.90 (define @t98 () (not @t97)) % 0.36/0.90 (define @t99 () (tptp.cons @t40 @t2)) % 0.36/0.90 (define @t100 () (not (tptp.neq @t2 @t40))) % 0.36/0.90 (define @t101 () (or @t98 @t100 @t62 @t47)) % 0.36/0.90 (define @t102 () (forall @t41 @t101)) % 0.36/0.90 (define @t103 () (tptp.app @t2 @t40)) % 0.36/0.90 (define @t104 () (= @t103 tptp.nil)) % 0.36/0.90 (define @t105 () (not @t104)) % 0.36/0.90 (define @t106 () (= tptp.nil @t40)) % 0.36/0.90 (define @t107 () (tptp.hd @t40)) % 0.36/0.90 (define @t108 () (tptp.strictorderedP @t40)) % 0.36/0.90 (define @t109 () (tptp.strictorderedP @t63)) % 0.36/0.90 (define @t110 () (not @t109)) % 0.36/0.90 (define @t111 () (tptp.totalorderedP @t40)) % 0.36/0.90 (define @t112 () (tptp.totalorderedP @t63)) % 0.36/0.90 (define @t113 () (not @t112)) % 0.36/0.90 (define @t114 () (not (tptp.segmentP @t2 @t40))) % 0.36/0.90 (define @t115 () (not (tptp.rearsegP @t2 @t40))) % 0.36/0.90 (define @t116 () (not (tptp.frontsegP @t2 @t40))) % 0.36/0.90 (define @t117 () (not @t90)) % 0.36/0.90 (define @t118 () (tptp.tl @t40)) % 0.36/0.90 (define @t119 () (tptp.lt @t2 @t107)) % 0.36/0.90 (define @t120 () (tptp.leq @t2 @t107)) % 0.36/0.90 (define @t121 () (@var "W" $$unsorted)) % 0.36/0.90 (define @t122 () (tptp.app @t121 @t2)) % 0.36/0.90 (define @t123 () (not (tptp.ssList @t121))) % 0.36/0.90 (define @t124 () (@list @t2 @t40 @t121)) % 0.36/0.90 (define @t125 () (tptp.app @t2 @t121)) % 0.36/0.90 (define @t126 () (tptp.cons @t40 @t121)) % 0.36/0.90 (define @t127 () (tptp.cons @t121 @t2)) % 0.36/0.90 (define @t128 () (not (tptp.ssItem @t121))) % 0.36/0.90 (define @t129 () (not (tptp.memberP @t2 @t40))) % 0.36/0.90 (define @t130 () (not (= @t103 @t121))) % 0.36/0.90 (define @t131 () (tptp.lt @t2 @t121)) % 0.36/0.90 (define @t132 () (not (tptp.lt @t40 @t121))) % 0.36/0.90 (define @t133 () (tptp.app @t121 @t40)) % 0.36/0.90 (define @t134 () (= @t40 @t121)) % 0.36/0.90 (define @t135 () (= @t2 @t121)) % 0.36/0.90 (define @t136 () (tptp.memberP @t40 @t121)) % 0.36/0.90 (define @t137 () (@var "X" $$unsorted)) % 0.36/0.90 (define @t138 () (not (tptp.ssList @t137))) % 0.36/0.90 (define @t139 () (tptp.cons @t121 @t137)) % 0.36/0.90 (define @t140 () (not (= @t63 @t139))) % 0.36/0.90 (define @t141 () (@list @t2 @t40 @t121 @t137)) % 0.36/0.90 (define @t142 () (not (tptp.frontsegP @t63 @t139))) % 0.36/0.90 (define @t143 () (tptp.app @t2 @t126)) % 0.36/0.90 (define @t144 () (not (tptp.ssItem @t137))) % 0.36/0.90 (define @t145 () (@var "Y" $$unsorted)) % 0.36/0.90 (define @t146 () (not (tptp.ssList @t145))) % 0.36/0.90 (define @t147 () (@list @t2 @t40 @t121 @t137 @t145)) % 0.36/0.90 (define @t148 () (tptp.lt @t40 @t137)) % 0.36/0.90 (define @t149 () (@var "Z" $$unsorted)) % 0.36/0.90 (define @t150 () (not (tptp.ssList @t149))) % 0.36/0.90 (define @t151 () (not (= (tptp.app @t143 (tptp.cons @t137 @t145)) @t149))) % 0.36/0.90 (define @t152 () (@list @t2 @t40 @t121 @t137 @t145 @t149)) % 0.36/0.90 (define @t153 () (tptp.leq @t40 @t137)) % 0.36/0.90 (define @t154 () (tptp.ssList tptp.sk1)) % 0.36/0.90 (define @t155 () (tptp.ssList tptp.sk2)) % 0.36/0.90 (define @t156 () (tptp.ssList tptp.sk3)) % 0.36/0.90 (define @t157 () (tptp.ssList tptp.sk4)) % 0.36/0.90 (define @t158 () (= tptp.sk2 tptp.sk4)) % 0.36/0.90 (define @t159 () (= tptp.sk1 tptp.sk3)) % 0.36/0.90 (define @t160 () (tptp.neq tptp.sk2 tptp.nil)) % 0.36/0.90 (define @t161 () (or @t160 @t160)) % 0.36/0.90 (define @t162 () (tptp.neq tptp.sk4 tptp.nil)) % 0.36/0.90 (define @t163 () (not @t162)) % 0.36/0.90 (define @t164 () (tptp.neq tptp.nil tptp.sk4)) % 0.36/0.90 (define @t165 () (not @t164)) % 0.36/0.90 (define @t166 () (@var "A" $$unsorted)) % 0.36/0.90 (define @t167 () (@var "B" $$unsorted)) % 0.36/0.90 (define @t168 () (tptp.app tptp.sk3 @t167)) % 0.36/0.90 (define @t169 () (not (= @t168 @t166))) % 0.36/0.90 (define @t170 () (tptp.tl tptp.sk4)) % 0.36/0.90 (define @t171 () (not (= @t170 @t167))) % 0.36/0.90 (define @t172 () (not (tptp.ssList @t167))) % 0.36/0.90 (define @t173 () (= tptp.sk4 @t166)) % 0.36/0.90 (define @t174 () (not (tptp.ssList @t166))) % 0.36/0.90 (define @t175 () (@list @t166 @t167)) % 0.36/0.90 (define @t176 () (tptp.neq tptp.sk1 tptp.nil)) % 0.36/0.90 (define @t177 () (not @t176)) % 0.36/0.90 (define @t178 () (or @t174 @t173 @t172 @t171 @t169 @t165 @t163)) % 0.36/0.90 (define @t179 () (forall @t175 @t178)) % 0.36/0.90 (define @t180 () (@list false)) % 0.36/0.90 (define @t181 () (= tptp.nil tptp.sk1)) % 0.36/0.90 (define @t182 () (not @t154)) % 0.36/0.90 (define @t183 () (not @t1)) % 0.36/0.90 (define @t184 () (or @t183 @t182 @t176 @t181)) % 0.36/0.90 (define @t185 () (@list tptp.sk2)) % 0.36/0.90 (define @t186 () (not (tptp.neq @t40 @t40))) % 0.36/0.90 (define @t187 () (not (= @t40 @t40))) % 0.36/0.90 (define @t188 () (or @t187 @t186 @t62 @t62)) % 0.36/0.90 (define @t189 () (@list @t40)) % 0.36/0.90 (define @t190 () (or @t98 @t98 @t100 @t62 @t47)) % 0.36/0.90 (define @t191 () (forall @t4 @t101)) % 0.36/0.90 (define @t192 () (forall @t189 @t191)) % 0.36/0.90 (define @t193 () (forall (@list @t40 @t2) @t101)) % 0.36/0.90 (define @t194 () (not @t155)) % 0.36/0.90 (define @t195 () (tptp.neq tptp.sk2 tptp.sk2)) % 0.36/0.90 (define @t196 () (not @t195)) % 0.36/0.90 (define @t197 () (or @t196 @t194)) % 0.36/0.90 (define @t198 () (@list false false)) % 0.36/0.90 (define @t199 () (= tptp.nil tptp.sk2)) % 0.36/0.90 (define @t200 () (not @t199)) % 0.36/0.90 (define @t201 () (not @t160)) % 0.36/0.90 (define @t202 () (not @t158)) % 0.36/0.90 (define @t203 () (= false true)) % 0.36/0.90 (define @t204 () (and @t160 @t158 @t199 @t196)) % 0.36/0.90 (define @t205 () (tptp.tl tptp.sk2)) % 0.36/0.90 (define @t206 () (tptp.hd tptp.sk2)) % 0.36/0.90 (define @t207 () (tptp.cons @t206 @t205)) % 0.36/0.90 (define @t208 () (= tptp.sk2 @t207)) % 0.36/0.90 (define @t209 () (or @t194 @t208 @t199)) % 0.36/0.90 (define @t210 () (@list false true false)) % 0.36/0.90 (define @t211 () (tptp.skaf82 tptp.sk2)) % 0.36/0.90 (define @t212 () (tptp.skaf83 tptp.sk2)) % 0.36/0.90 (define @t213 () (tptp.cons @t212 @t211)) % 0.36/0.90 (define @t214 () (= tptp.sk2 @t213)) % 0.36/0.90 (define @t215 () (or @t194 @t214 @t199)) % 0.36/0.90 (define @t216 () (@list @t212 @t211)) % 0.36/0.90 (define @t217 () (= @t211 (tptp.tl @t213))) % 0.36/0.90 (define @t218 () (tptp.ssList @t211)) % 0.36/0.90 (define @t219 () (not @t218)) % 0.36/0.90 (define @t220 () (tptp.ssItem @t212)) % 0.36/0.90 (define @t221 () (not @t220)) % 0.36/0.90 (define @t222 () (or @t221 @t219 @t217)) % 0.36/0.90 (define @t223 () (@list false false false)) % 0.36/0.90 (define @t224 () (= @t211 @t213)) % 0.36/0.90 (define @t225 () (not @t224)) % 0.36/0.90 (define @t226 () (or @t225 @t221 @t219)) % 0.36/0.90 (define @t227 () (= tptp.nil tptp.sk4)) % 0.36/0.90 (define @t228 () (not @t227)) % 0.36/0.90 (define @t229 () (and @t158 @t200)) % 0.36/0.90 (define @t230 () (tptp.ssList @t170)) % 0.36/0.90 (define @t231 () (not @t157)) % 0.36/0.90 (define @t232 () (or @t231 @t230 @t227)) % 0.36/0.90 (define @t233 () (tptp.app tptp.nil @t170)) % 0.36/0.90 (define @t234 () (= @t170 @t233)) % 0.36/0.90 (define @t235 () (not @t230)) % 0.36/0.90 (define @t236 () (or @t235 @t234)) % 0.36/0.90 (define @t237 () (tptp.app tptp.sk3 @t170)) % 0.36/0.90 (define @t238 () (tptp.ssList @t237)) % 0.36/0.90 (define @t239 () (not @t156)) % 0.36/0.90 (define @t240 () (or @t235 @t239 @t238)) % 0.36/0.90 (define @t241 () (or @t231 @t183 @t164 (= tptp.sk4 tptp.nil))) % 0.36/0.90 (define @t242 () (forall @t41 (or @t47 @t62 @t77 @t97))) % 0.36/0.90 (define @t243 () (or @t231 @t183 @t164 @t227)) % 0.36/0.90 (define @t244 () (= tptp.sk4 @t237)) % 0.36/0.90 (define @t245 () (not @t238)) % 0.36/0.90 (define @t246 () (or @t235 @t245 @t244)) % 0.36/0.90 (define @t247 () (or @t245 @t244)) % 0.36/0.90 (define @t248 () (not (= @t237 @t237))) % 0.36/0.90 (define @t249 () (or @t245 @t244 @t248)) % 0.36/0.90 (define @t250 () (not (= @t166 @t237))) % 0.36/0.90 (define @t251 () (or @t250 @t174 @t173 @t250)) % 0.36/0.90 (define @t252 () (@list @t166)) % 0.36/0.90 (define @t253 () (or @t174 @t173 @t250)) % 0.36/0.90 (define @t254 () (forall @t252 @t253)) % 0.36/0.90 (define @t255 () (or @t235 @t254)) % 0.36/0.90 (define @t256 () (or @t235 @t253)) % 0.36/0.90 (define @t257 () (or @t174 @t173 @t235 @t250)) % 0.36/0.90 (define @t258 () (not (= @t170 @t170))) % 0.36/0.90 (define @t259 () (or @t174 @t173 @t235 @t258 @t250)) % 0.36/0.90 (define @t260 () (not (= @t166 @t168))) % 0.36/0.90 (define @t261 () (not (= @t167 @t170))) % 0.36/0.90 (define @t262 () (or @t261 @t174 @t173 @t172 @t261 @t260)) % 0.36/0.90 (define @t263 () (@list @t167)) % 0.36/0.90 (define @t264 () (or @t174 @t173 @t172 @t261 @t260)) % 0.36/0.90 (define @t265 () (forall @t263 @t264)) % 0.36/0.90 (define @t266 () (forall @t252 @t265)) % 0.36/0.90 (define @t267 () (forall @t175 @t264)) % 0.36/0.90 (define @t268 () (or @t165 @t163 @t267)) % 0.36/0.90 (define @t269 () (or @t165 @t163 @t264)) % 0.36/0.90 (define @t270 () (or @t174 @t173 @t172 @t261 @t260 @t165 @t163)) % 0.36/0.90 (define @t271 () (not @t217)) % 0.36/0.90 (define @t272 () (not @t234)) % 0.36/0.90 (define @t273 () (not @t214)) % 0.36/0.90 (define @t274 () (not @t208)) % 0.36/0.90 (define @t275 () (not @t181)) % 0.36/0.90 (define @t276 () (not @t244)) % 0.36/0.90 (define @t277 () (not @t159)) % 0.36/0.90 (define @t278 () (tptp.hd tptp.sk4)) % 0.36/0.90 (define @t279 () (tptp.cons @t278 @t170)) % 0.36/0.90 (define @t280 () (= @t170 @t279)) % 0.36/0.90 (define @t281 () (not @t280)) % 0.36/0.90 (define @t282 () (and @t280 @t281)) % 0.36/0.90 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.36/0.90 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.36/0.90 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.36/0.90 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.36/0.90 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.36/0.90 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.36/0.90 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.36/0.90 (assume @p8 @t1) % 0.36/0.90 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.36/0.90 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.36/0.90 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.36/0.90 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.36/0.90 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.36/0.90 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.36/0.90 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.36/0.90 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.36/0.90 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.36/0.90 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.36/0.90 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.36/0.90 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.36/0.90 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.36/0.90 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.36/0.90 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.36/0.90 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.36/0.90 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.36/0.90 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.36/0.90 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.36/0.90 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.36/0.90 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.36/0.90 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.36/0.90 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.36/0.90 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.36/0.90 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.36/0.90 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.36/0.90 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.36/0.90 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.36/0.90 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.36/0.90 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.36/0.90 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.36/0.90 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.36/0.90 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.36/0.90 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.36/0.90 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.36/0.90 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.36/0.90 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.36/0.90 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.36/0.90 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.36/0.90 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.36/0.90 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.36/0.90 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.36/0.90 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.36/0.90 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.36/0.90 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.36/0.90 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.36/0.90 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.36/0.90 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.36/0.90 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.36/0.90 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.36/0.90 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.36/0.90 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.36/0.90 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.36/0.90 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.36/0.90 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.36/0.90 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.36/0.90 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.36/0.90 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.36/0.90 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.36/0.90 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.36/0.90 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.36/0.90 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.36/0.90 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.36/0.90 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.36/0.90 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.36/0.90 (assume @p74 @t53) % 0.36/0.90 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 0.36/0.90 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 0.36/0.90 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 0.36/0.90 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 0.36/0.90 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 0.36/0.90 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 0.36/0.90 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 0.36/0.90 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 0.36/0.90 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 0.36/0.90 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 0.36/0.90 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 0.36/0.90 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 0.36/0.90 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 0.36/0.90 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 0.36/0.90 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 0.36/0.90 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 0.36/0.90 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 0.36/0.90 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 0.36/0.90 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 0.36/0.90 (assume @p94 @t72) % 0.36/0.90 (assume @p95 (forall @t41 (or @t46 @t62 (= (tptp.hd @t63) @t2)))) % 0.36/0.90 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 0.36/0.90 (assume @p97 @t75) % 0.36/0.90 (assume @p98 @t79) % 0.36/0.90 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.36/0.90 (assume @p100 (forall @t41 (or @t46 @t80 @t77 @t76))) % 0.36/0.90 (assume @p101 (forall @t41 (or @t83 @t80 @t46 @t81))) % 0.36/0.90 (assume @p102 @t86) % 0.36/0.90 (assume @p103 (forall @t41 (or @t88 @t80 @t46 @t87))) % 0.36/0.90 (assume @p104 (forall @t41 (or @t83 @t46 @t80 @t89))) % 0.36/0.90 (assume @p105 (forall @t41 (or @t91 @t80 @t46 @t90))) % 0.36/0.90 (assume @p106 (forall @t41 (or @t93 @t46 @t80 @t92))) % 0.36/0.90 (assume @p107 @t96) % 0.36/0.90 (assume @p108 (forall @t41 (or @t88 (not @t89) @t46 @t80))) % 0.36/0.90 (assume @p109 (forall @t41 (or @t98 @t83 @t80 @t46))) % 0.36/0.90 (assume @p110 (forall @t41 (or @t58 @t47 @t80 (tptp.strictorderedP @t99)))) % 0.36/0.90 (assume @p111 (forall @t41 (or @t58 @t47 @t80 (tptp.totalorderedP @t99)))) % 0.36/0.90 (assume @p112 (forall @t41 (or @t83 (not @t87) @t46 @t80))) % 0.36/0.90 (assume @p113 @t102) % 0.36/0.90 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 0.36/0.90 (assume @p115 (forall @t41 (or @t98 @t100 @t80 @t46))) % 0.36/0.90 (assume @p116 (forall @t41 (or @t105 @t62 @t47 @t54))) % 0.36/0.90 (assume @p117 (forall @t41 (or @t105 @t62 @t47 @t106))) % 0.36/0.90 (assume @p118 (forall @t41 (or @t46 @t62 (= (tptp.app @t48 @t40) @t63)))) % 0.36/0.90 (assume @p119 (forall @t41 (or @t93 @t80 @t46 @t82 @t97))) % 0.36/0.90 (assume @p120 (forall @t41 (or @t47 @t62 @t106 (= (tptp.hd @t61) @t107)))) % 0.36/0.90 (assume @p121 (forall @t41 (or @t110 @t62 @t46 @t108 @t106))) % 0.36/0.90 (assume @p122 (forall @t41 (or @t113 @t62 @t46 @t111 @t106))) % 0.36/0.90 (assume @p123 (forall @t41 (or @t91 (not @t92) @t46 @t80 @t76))) % 0.36/0.90 (assume @p124 (forall @t41 (or @t114 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t76))) % 0.36/0.90 (assume @p125 (forall @t41 (or @t115 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t76))) % 0.36/0.90 (assume @p126 (forall @t41 (or @t116 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t76))) % 0.36/0.90 (assume @p127 (forall @t41 (or @t93 @t117 @t46 @t80 @t76))) % 0.36/0.90 (assume @p128 (forall @t41 (or @t115 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.36/0.90 (assume @p129 (forall @t41 (or @t116 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.36/0.90 (assume @p130 (forall @t41 (or @t47 @t62 @t106 (= (tptp.tl @t61) (tptp.app @t118 @t2))))) % 0.36/0.90 (assume @p131 (forall @t41 (or @t110 @t62 @t46 @t119 @t106))) % 0.36/0.90 (assume @p132 (forall @t41 (or @t113 @t62 @t46 @t120 @t106))) % 0.36/0.90 (assume @p133 (forall @t124 (or @t115 @t123 @t62 @t47 (tptp.rearsegP @t122 @t40)))) % 0.36/0.90 (assume @p134 (forall @t124 (or @t116 @t123 @t62 @t47 (tptp.frontsegP @t125 @t40)))) % 0.36/0.90 (assume @p135 (forall @t124 (or @t98 @t123 @t80 @t46 (tptp.memberP @t126 @t2)))) % 0.36/0.90 (assume @p136 (forall @t124 (or @t129 @t47 @t128 @t80 (tptp.memberP @t127 @t40)))) % 0.36/0.90 (assume @p137 (forall @t124 (or @t129 @t123 @t47 @t80 (tptp.memberP @t125 @t40)))) % 0.36/0.90 (assume @p138 (forall @t124 (or @t129 @t47 @t123 @t80 (tptp.memberP @t122 @t40)))) % 0.36/0.90 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.36/0.90 (assume @p140 (forall @t124 (or @t130 @t47 @t62 @t123 (tptp.rearsegP @t121 @t40)))) % 0.36/0.90 (assume @p141 (forall @t124 (or @t130 @t62 @t47 @t123 (tptp.frontsegP @t121 @t2)))) % 0.36/0.90 (assume @p142 (forall @t41 (or @t58 (not @t106) @t62 @t47 @t104))) % 0.36/0.90 (assume @p143 (forall @t124 (or @t88 (not (tptp.gt @t40 @t121)) @t128 @t80 @t46 (tptp.gt @t2 @t121)))) % 0.36/0.90 (assume @p144 (forall @t124 (or @t93 @t132 @t128 @t80 @t46 @t131))) % 0.36/0.90 (assume @p145 (forall @t124 (or @t91 (not (tptp.geq @t40 @t121)) @t128 @t80 @t46 (tptp.geq @t2 @t121)))) % 0.36/0.90 (assume @p146 (forall @t124 (or @t47 @t62 @t123 (= (tptp.app @t133 @t2) (tptp.app @t121 @t61))))) % 0.36/0.90 (assume @p147 (forall @t124 (or (not (= @t103 @t125)) @t62 @t47 @t123 @t134))) % 0.36/0.90 (assume @p148 (forall @t124 (or (not (= @t103 @t133)) @t47 @t62 @t123 @t135))) % 0.36/0.90 (assume @p149 (forall @t124 (or @t114 (not (tptp.segmentP @t40 @t121)) @t123 @t62 @t47 (tptp.segmentP @t2 @t121)))) % 0.36/0.90 (assume @p150 (forall @t124 (or @t115 (not (tptp.rearsegP @t40 @t121)) @t123 @t62 @t47 (tptp.rearsegP @t2 @t121)))) % 0.36/0.90 (assume @p151 (forall @t124 (or @t116 (not (tptp.frontsegP @t40 @t121)) @t123 @t62 @t47 (tptp.frontsegP @t2 @t121)))) % 0.36/0.90 (assume @p152 (forall @t124 (or @t83 @t132 @t128 @t80 @t46 @t131))) % 0.36/0.90 (assume @p153 (forall @t124 (or @t93 (not (tptp.leq @t40 @t121)) @t128 @t80 @t46 (tptp.leq @t2 @t121)))) % 0.36/0.90 (assume @p154 (forall @t124 (or @t46 @t62 @t123 (= (tptp.cons @t2 (tptp.app @t40 @t121)) (tptp.app @t63 @t121))))) % 0.36/0.90 (assume @p155 (forall @t124 (or (not (tptp.memberP @t103 @t121)) @t62 @t47 @t128 @t136 (tptp.memberP @t2 @t121)))) % 0.36/0.90 (assume @p156 (forall @t41 (or (not @t120) (not @t111) @t62 @t46 @t112 @t106))) % 0.36/0.90 (assume @p157 (forall @t41 (or (not @t119) (not @t108) @t62 @t46 @t109 @t106))) % 0.36/0.90 (assume @p158 (forall @t124 (or (not (tptp.memberP @t63 @t121)) @t62 @t46 @t128 @t136 (= @t121 @t2)))) % 0.36/0.90 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.36/0.90 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.36/0.90 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.36/0.90 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.36/0.90 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.36/0.90 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.36/0.90 (assume @p165 (forall @t41 (or @t114 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.36/0.90 (assume @p166 (forall @t41 (or @t129 @t80 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.36/0.90 (assume @p167 (forall @t141 (or @t140 @t128 @t46 @t138 @t62 @t135))) % 0.36/0.90 (assume @p168 (forall @t141 (or @t140 @t128 @t46 @t138 @t62 (= @t137 @t40)))) % 0.36/0.90 (assume @p169 (forall @t141 (or @t114 @t123 @t138 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t137 @t2) @t121) @t40)))) % 0.36/0.90 (assume @p170 (forall @t141 (or (not (= (tptp.app @t103 @t121) @t137)) @t123 @t47 @t62 @t138 (tptp.segmentP @t137 @t40)))) % 0.36/0.90 (assume @p171 (forall @t141 (or @t142 @t138 @t62 @t128 @t46 (tptp.frontsegP @t40 @t137)))) % 0.36/0.90 (assume @p172 (forall @t141 (or (not (= @t143 @t137)) @t123 @t47 @t80 @t138 (tptp.memberP @t137 @t40)))) % 0.36/0.90 (assume @p173 (forall @t141 (or @t142 @t138 @t62 @t128 @t46 @t135))) % 0.36/0.90 (assume @p174 (forall @t41 (or (not (= @t55 @t118)) (not (= @t56 @t107)) @t47 @t62 @t106 @t97 @t54))) % 0.36/0.90 (assume @p175 (forall @t141 (or @t116 (not (= @t121 @t137)) @t62 @t47 @t144 @t128 (tptp.frontsegP @t127 (tptp.cons @t137 @t40))))) % 0.36/0.90 (assume @p176 (forall @t147 (or (not (= (tptp.app @t143 (tptp.cons @t40 @t137)) @t145)) @t138 @t123 @t47 @t80 (not (tptp.duplicatefreeP @t145)) @t146))) % 0.36/0.90 (assume @p177 (forall @t147 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t139)) @t145)) @t138 @t47 @t128 @t80 (not (tptp.equalelemsP @t145)) @t146 @t134))) % 0.36/0.90 (assume @p178 (forall @t152 (or @t151 @t146 @t123 @t47 @t144 @t80 (not (tptp.strictorderedP @t149)) @t150 @t148))) % 0.36/0.90 (assume @p179 (forall @t152 (or @t151 @t146 @t123 @t47 @t144 @t80 (not (tptp.totalorderedP @t149)) @t150 @t153))) % 0.36/0.90 (assume @p180 (forall @t152 (or @t151 @t146 @t123 @t47 @t144 @t80 (not (tptp.strictorderP @t149)) @t150 @t148 (tptp.lt @t137 @t40)))) % 0.36/0.90 (assume @p181 (forall @t152 (or @t151 @t146 @t123 @t47 @t144 @t80 (not (tptp.totalorderP @t149)) @t150 @t153 (tptp.leq @t137 @t40)))) % 0.36/0.90 (assume @p182 (forall @t152 (or @t93 @t117 (not (= (tptp.app (tptp.app @t121 (tptp.cons @t2 @t137)) (tptp.cons @t40 @t145)) @t149)) @t146 @t138 @t123 @t80 @t46 (not (tptp.cyclefreeP @t149)) @t150))) % 0.36/0.90 (assume @p183 @t154) % 0.36/0.90 (assume @p184 @t155) % 0.36/0.90 (assume @p185 @t156) % 0.36/0.90 (assume @p186 @t157) % 0.36/0.90 (assume @p187 @t158) % 0.36/0.90 (assume @p188 @t159) % 0.36/0.90 (assume @p189 @t161) % 0.36/0.90 (assume @p190 (or @t160 @t163)) % 0.36/0.90 (assume @p191 (forall @t175 (or @t174 @t173 @t172 @t171 @t169 @t165 @t160))) % 0.36/0.90 (assume @p192 (or @t177 @t160)) % 0.36/0.90 (assume @p193 @t179) % 0.36/0.90 (assume @p194 (or @t177 @t163)) % 0.36/0.90 (step @p195 :rule eq-symm :args (@t40 @t2)) % 0.36/0.90 (step @p196 :rule refl :args (@t77)) % 0.36/0.90 (step @p197 :rule refl :args (@t62)) % 0.36/0.90 (step @p198 :rule refl :args (@t47)) % 0.36/0.90 (step @p199 :rule nary_cong :premises (@p198 @p197 @p196 @p195) :args (@t78)) % 0.36/0.90 (step @p200 :rule cong :premises (@p199) :args (@t79)) % 0.36/0.90 (step @p201 :rule eq_resolve :premises (@p98 @p200)) % 0.36/0.90 (step @p202 :rule instantiate :premises (@p201) :args ((@list tptp.nil tptp.sk1))) % 0.36/0.90 (step @p203 :rule aci_norm :args ((= @t161 @t160))) % 0.36/0.90 (step @p204 :rule eq_resolve :premises (@p189 @p203)) % 0.36/0.90 (step @p205 :rule true_intro :premises (@p204)) % 0.36/0.90 (step @p206 :rule refl :args (tptp.nil)) % 0.36/0.90 (step @p207 :rule symm :premises (@p187)) % 0.36/0.90 (step @p208 :rule cong :premises (@p207 @p206) :args (@t162)) % 0.36/0.90 (step @p209 :rule trans :premises (@p208 @p205)) % 0.36/0.90 (step @p210 :rule true_elim :premises (@p209)) % 0.36/0.90 (step @p211 :rule reordering :premises (@p194) :args ((or @t163 @t177))) % 0.36/0.90 (step @p212 :rule chain_m_resolution :premises (@p211 @p210) :args (@t177 @t180 (@list @t162))) % 0.36/0.90 (step @p213 :rule cnf_or_pos :args (@t184)) % 0.36/0.90 (step @p214 :rule reordering :premises (@p213) :args ((or @t176 @t183 @t182 @t181 (not @t184)))) % 0.36/0.90 (step @p215 :rule chain_m_resolution :premises (@p214 @p212 @p8 @p183 @p202) :args (@t181 (@list true false false false) (@list @t176 @t1 @t154 @t184))) % 0.36/0.90 (step @p216 :rule refl :args (@t54)) % 0.36/0.90 (step @p217 :rule eq-symm :args (@t84 @t2)) % 0.36/0.90 (step @p218 :rule nary_cong :premises (@p198 @p217 @p216) :args (@t85)) % 0.36/0.90 (step @p219 :rule cong :premises (@p218) :args (@t86)) % 0.36/0.90 (step @p220 :rule eq_resolve :premises (@p102 @p219)) % 0.36/0.90 (step @p221 :rule instantiate :premises (@p220) :args (@t185)) % 0.36/0.90 (step @p222 :rule aci_norm :args ((= (or false @t186 @t62 @t62) (or @t186 @t62)))) % 0.36/0.90 (step @p223 :rule refl :args (@t186)) % 0.36/0.90 (step @p224 :rule evaluate :args ((not true))) % 0.36/0.90 (step @p225 :rule eq-refl :args (@t40)) % 0.36/0.90 (step @p226 :rule cong :premises (@p225) :args (@t187)) % 0.36/0.90 (step @p227 :rule trans :premises (@p226 @p224)) % 0.36/0.90 (step @p228 :rule nary_cong :premises (@p227 @p223 @p197 @p197) :args (@t188)) % 0.36/0.90 (step @p229 :rule trans :premises (@p228 @p222)) % 0.36/0.90 (step @p230 :rule cong :premises (@p229) :args ((forall @t189 @t188))) % 0.36/0.90 (step @p231 :rule quant-var-elim-eq :args ((= (forall @t4 @t190) @t188))) % 0.36/0.90 (step @p232 :rule aci_norm :args ((= @t101 @t190))) % 0.36/0.90 (step @p233 :rule cong :premises (@p232) :args (@t191)) % 0.36/0.90 (step @p234 :rule trans :premises (@p233 @p231)) % 0.36/0.90 (step @p235 :rule cong :premises (@p234) :args (@t192)) % 0.36/0.90 (step @p236 :rule quant-merge-prenex :args ((= @t192 @t193))) % 0.36/0.90 (step @p237 :rule symm :premises (@p236)) % 0.36/0.90 (step @p238 :rule quant_var_reordering :args ((= @t102 @t193))) % 0.36/0.90 (step @p239 :rule trans :premises (@p238 @p237 @p235)) % 0.36/0.90 (step @p240 :rule trans :premises (@p239 @p230)) % 0.36/0.90 (step @p241 :rule eq_resolve :premises (@p113 @p240)) % 0.36/0.90 (step @p242 :rule instantiate :premises (@p241) :args (@t185)) % 0.36/0.90 (step @p243 :rule cnf_or_pos :args (@t197)) % 0.36/0.90 (step @p244 :rule reordering :premises (@p243) :args ((or @t194 @t196 (not @t197)))) % 0.36/0.90 (step @p245 :rule chain_m_resolution :premises (@p244 @p184 @p242) :args (@t196 @t198 (@list @t155 @t197))) % 0.36/0.90 (step @p246 :rule bool-double-not-elim :args (@t195)) % 0.36/0.90 (step @p247 :rule refl :args (@t200)) % 0.36/0.90 (step @p248 :rule refl :args (@t201)) % 0.36/0.90 (step @p249 :rule refl :args (@t202)) % 0.36/0.90 (step @p250 :rule nary_cong :premises (@p249 @p248 @p247 @p246) :args ((or @t202 @t201 @t200 (not @t196)))) % 0.36/0.90 (assume-push @p528 @t160) % 0.36/0.90 (assume-push @p529 @t158) % 0.36/0.90 (assume-push @p530 @t199) % 0.36/0.90 (assume-push @p531 @t196) % 0.36/0.90 (step @p255 :rule evaluate :args (@t203)) % 0.36/0.90 (step @p256 :rule symm :premises (@p530)) % 0.36/0.90 (step @p257 :rule cong :premises (@p187 @p256) :args (@t195)) % 0.36/0.90 (step @p258 :rule false_intro :premises (@p245)) % 0.36/0.90 (step @p259 :rule symm :premises (@p258)) % 0.36/0.90 (step @p260 :rule trans :premises (@p259 @p257 @p208 @p205)) % 0.36/0.90 (step @p261 false :rule eq_resolve :premises (@p260 @p255)) % 0.36/0.90 (step-pop @p532 :rule scope :premises (@p261)) % 0.36/0.90 (step-pop @p533 :rule scope :premises (@p532)) % 0.36/0.90 (step-pop @p534 :rule scope :premises (@p533)) % 0.36/0.90 (step-pop @p535 :rule scope :premises (@p534)) % 0.36/0.90 (step @p262 :rule process_scope :premises (@p535) :args (false)) % 0.36/0.90 (assume-push @p536 @t158) % 0.36/0.90 (assume-push @p537 @t160) % 0.36/0.90 (assume-push @p538 @t199) % 0.36/0.90 (assume-push @p539 @t196) % 0.36/0.90 (step @p271 :rule and_intro :premises (@p204 @p187 @p538 @p245)) % 0.36/0.90 (step-pop @p540 :rule scope :premises (@p271)) % 0.36/0.90 (step-pop @p541 :rule scope :premises (@p540)) % 0.36/0.90 (step-pop @p542 :rule scope :premises (@p541)) % 0.36/0.90 (step-pop @p543 :rule scope :premises (@p542)) % 0.36/0.90 (step @p272 :rule process_scope :premises (@p543) :args (@t204)) % 0.36/0.90 (step @p277 :rule implies_elim :premises (@p272)) % 0.36/0.90 (step @p278 :rule resolution :premises (@p277 @p262) :args (true @t204)) % 0.36/0.90 (step @p279 :rule not_and :premises (@p278)) % 0.36/0.90 (step @p280 :rule eq_resolve :premises (@p279 @p250)) % 0.36/0.90 (step @p281 :rule reordering :premises (@p280) :args ((or @t202 @t201 @t195 @t200))) % 0.36/0.90 (step @p282 :rule chain_m_resolution :premises (@p281 @p187 @p204 @p245) :args (@t200 (@list false false true) (@list @t158 @t160 @t195))) % 0.36/0.90 (step @p283 :rule cnf_or_pos :args (@t209)) % 0.36/0.90 (step @p284 :rule reordering :premises (@p283) :args ((or @t194 @t199 @t208 (not @t209)))) % 0.36/0.90 (step @p285 :rule chain_m_resolution :premises (@p284 @p184 @p282 @p221) :args (@t208 @t210 (@list @t155 @t199 @t209))) % 0.36/0.90 (step @p286 :rule eq-symm :args (@t94 @t2)) % 0.36/0.90 (step @p287 :rule nary_cong :premises (@p198 @p286 @p216) :args (@t95)) % 0.36/0.90 (step @p288 :rule cong :premises (@p287) :args (@t96)) % 0.36/0.90 (step @p289 :rule eq_resolve :premises (@p107 @p288)) % 0.36/0.90 (step @p290 :rule instantiate :premises (@p289) :args (@t185)) % 0.36/0.90 (step @p291 :rule cnf_or_pos :args (@t215)) % 0.36/0.90 (step @p292 :rule reordering :premises (@p291) :args ((or @t194 @t199 @t214 (not @t215)))) % 0.36/0.90 (step @p293 :rule chain_m_resolution :premises (@p292 @p184 @p282 @p290) :args (@t214 @t210 (@list @t155 @t199 @t215))) % 0.36/0.90 (step @p294 :rule eq-symm :args (@t70 @t40)) % 0.36/0.90 (step @p295 :rule refl :args (@t46)) % 0.36/0.90 (step @p296 :rule nary_cong :premises (@p295 @p197 @p294) :args (@t71)) % 0.36/0.90 (step @p297 :rule cong :premises (@p296) :args (@t72)) % 0.36/0.90 (step @p298 :rule eq_resolve :premises (@p94 @p297)) % 0.36/0.90 (step @p299 :rule instantiate :premises (@p298) :args (@t216)) % 0.36/0.90 (step @p300 :rule instantiate :premises (@p13) :args (@t185)) % 0.36/0.90 (step @p301 :rule instantiate :premises (@p12) :args (@t185)) % 0.36/0.90 (step @p302 :rule cnf_or_pos :args (@t222)) % 0.36/0.90 (step @p303 :rule reordering :premises (@p302) :args ((or @t221 @t219 @t217 (not @t222)))) % 0.36/0.90 (step @p304 :rule chain_m_resolution :premises (@p303 @p301 @p300 @p299) :args (@t217 @t223 (@list @t220 @t218 @t222))) % 0.36/0.90 (step @p305 :rule eq-symm :args (@t63 @t40)) % 0.36/0.90 (step @p306 :rule cong :premises (@p305) :args (@t73)) % 0.36/0.90 (step @p307 :rule nary_cong :premises (@p306 @p295 @p197) :args (@t74)) % 0.36/0.90 (step @p308 :rule cong :premises (@p307) :args (@t75)) % 0.36/0.90 (step @p309 :rule eq_resolve :premises (@p97 @p308)) % 0.36/0.90 (step @p310 :rule instantiate :premises (@p309) :args (@t216)) % 0.36/0.90 (step @p311 :rule cnf_or_pos :args (@t226)) % 0.36/0.90 (step @p312 :rule reordering :premises (@p311) :args ((or @t221 @t219 @t225 (not @t226)))) % 0.36/0.90 (step @p313 :rule chain_m_resolution :premises (@p312 @p301 @p300 @p310) :args (@t225 @t223 (@list @t220 @t218 @t226))) % 0.36/0.90 (step @p314 :rule eq-symm :args (@t51 @t2)) % 0.36/0.90 (step @p315 :rule nary_cong :premises (@p198 @p314) :args (@t52)) % 0.36/0.90 (step @p316 :rule cong :premises (@p315) :args (@t53)) % 0.36/0.90 (step @p317 :rule eq_resolve :premises (@p74 @p316)) % 0.36/0.90 (step @p318 :rule instantiate :premises (@p317) :args ((@list @t170))) % 0.36/0.90 (step @p319 :rule instantiate :premises (@p75) :args ((@list tptp.sk4))) % 0.36/0.90 (step @p320 :rule refl :args (@t228)) % 0.36/0.90 (step @p321 :rule bool-double-not-elim :args (@t199)) % 0.36/0.90 (step @p322 :rule nary_cong :premises (@p249 @p321 @p320) :args ((or @t202 (not @t200) @t228))) % 0.36/0.90 (assume-push @p544 @t158) % 0.36/0.90 (assume-push @p545 @t200) % 0.36/0.90 (assume-push @p546 @t200) % 0.36/0.90 (assume-push @p547 @t158) % 0.36/0.90 (step @p327 :rule false_intro :premises (@p545)) % 0.36/0.90 (step @p328 :rule cong :premises (@p206 @p207) :args (@t227)) % 0.36/0.90 (step @p329 :rule trans :premises (@p328 @p327)) % 0.36/0.90 (step @p330 :rule false_elim :premises (@p329)) % 0.36/0.90 (step-pop @p548 :rule scope :premises (@p330)) % 0.36/0.90 (step-pop @p549 :rule scope :premises (@p548)) % 0.36/0.90 (step @p331 :rule process_scope :premises (@p549) :args (@t228)) % 0.36/0.90 (step @p334 :rule and_intro :premises (@p545 @p187)) % 0.36/0.90 (step @p335 :rule modus_ponens :premises (@p334 @p331)) % 0.36/0.90 (step-pop @p550 :rule scope :premises (@p335)) % 0.36/0.90 (step-pop @p551 :rule scope :premises (@p550)) % 0.36/0.90 (step @p336 :rule process_scope :premises (@p551) :args (@t228)) % 0.36/0.90 (step @p339 :rule implies_elim :premises (@p336)) % 0.36/0.90 (step @p340 :rule cnf_and_neg :args (@t229)) % 0.36/0.90 (step @p341 :rule resolution :premises (@p340 @p339) :args (true @t229)) % 0.36/0.90 (step @p342 :rule eq_resolve :premises (@p341 @p322)) % 0.36/0.90 (step @p343 :rule chain_m_resolution :premises (@p342 @p187 @p282) :args (@t228 (@list false true) (@list @t158 @t199))) % 0.36/0.90 (step @p344 :rule cnf_or_pos :args (@t232)) % 0.36/0.90 (step @p345 :rule reordering :premises (@p344) :args ((or @t230 @t231 @t227 (not @t232)))) % 0.36/0.90 (step @p346 :rule chain_m_resolution :premises (@p345 @p186 @p343 @p319) :args (@t230 @t210 (@list @t157 @t227 @t232))) % 0.36/0.90 (step @p347 :rule cnf_or_pos :args (@t236)) % 0.36/0.90 (step @p348 :rule reordering :premises (@p347) :args ((or @t235 @t234 (not @t236)))) % 0.36/0.90 (step @p349 :rule chain_m_resolution :premises (@p348 @p346 @p318) :args (@t234 @t198 (@list @t230 @t236))) % 0.36/0.90 (step @p350 :rule instantiate :premises (@p83) :args ((@list @t170 tptp.sk3))) % 0.36/0.90 (step @p351 :rule cnf_or_pos :args (@t240)) % 0.36/0.90 (step @p352 :rule reordering :premises (@p351) :args ((or @t235 @t238 @t239 (not @t240)))) % 0.36/0.90 (step @p353 :rule chain_m_resolution :premises (@p352 @p346 @p185 @p350) :args (@t238 @t223 (@list @t230 @t156 @t240))) % 0.36/0.90 (step @p354 :rule eq-symm :args (tptp.sk4 tptp.nil)) % 0.36/0.90 (step @p355 :rule refl :args (@t164)) % 0.36/0.90 (step @p356 :rule refl :args (@t183)) % 0.36/0.90 (step @p357 :rule refl :args (@t231)) % 0.36/0.90 (step @p358 :rule nary_cong :premises (@p357 @p356 @p355 @p354) :args (@t241)) % 0.36/0.90 (step @p359 :rule refl :args (@t242)) % 0.36/0.90 (step @p360 :rule cong :premises (@p359 @p358) :args ((=> @t242 @t241))) % 0.36/0.90 (assume-push @p552 @t242) % 0.36/0.90 (step @p362 :rule instantiate :premises (@p201) :args ((@list tptp.sk4 tptp.nil))) % 0.36/0.90 (step-pop @p553 :rule scope :premises (@p362)) % 0.36/0.90 (step @p363 :rule process_scope :premises (@p553) :args (@t241)) % 0.36/0.90 (step @p365 :rule eq_resolve :premises (@p363 @p360)) % 0.36/0.90 (step @p366 :rule implies_elim :premises (@p365)) % 0.36/0.90 (step @p367 :rule chain_m_resolution :premises (@p366 @p201) :args (@t243 @t180 (@list @t242))) % 0.36/0.90 (step @p368 :rule cnf_or_pos :args (@t243)) % 0.36/0.90 (step @p369 :rule reordering :premises (@p368) :args ((or @t164 @t183 @t231 @t227 (not @t243)))) % 0.36/0.90 (step @p370 :rule chain_m_resolution :premises (@p369 @p8 @p186 @p343 @p367) :args (@t164 (@list false false true false) (@list @t1 @t157 @t227 @t243))) % 0.36/0.90 (step @p371 :rule aci_norm :args ((= (or @t165 @t163 @t246) (or @t165 @t163 @t235 @t245 @t244)))) % 0.36/0.90 (step @p372 :rule aci_norm :args ((= (or @t235 @t247) @t246))) % 0.36/0.90 (step @p373 :rule aci_norm :args ((= (or @t245 @t244 false) @t247))) % 0.36/0.90 (step @p374 :rule eq-refl :args (@t237)) % 0.36/0.90 (step @p375 :rule cong :premises (@p374) :args (@t248)) % 0.36/0.90 (step @p376 :rule trans :premises (@p375 @p224)) % 0.36/0.90 (step @p377 :rule refl :args (@t244)) % 0.36/0.90 (step @p378 :rule refl :args (@t245)) % 0.36/0.90 (step @p379 :rule nary_cong :premises (@p378 @p377 @p376) :args (@t249)) % 0.36/0.90 (step @p380 :rule trans :premises (@p379 @p373)) % 0.36/0.90 (step @p381 :rule quant-var-elim-eq :args ((= (forall @t252 @t251) @t249))) % 0.36/0.90 (step @p382 :rule aci_norm :args ((= @t253 @t251))) % 0.36/0.90 (step @p383 :rule cong :premises (@p382) :args (@t254)) % 0.36/0.90 (step @p384 :rule trans :premises (@p383 @p381)) % 0.36/0.90 (step @p385 :rule trans :premises (@p384 @p380)) % 0.36/0.90 (step @p386 :rule refl :args (@t235)) % 0.36/0.90 (step @p387 :rule nary_cong :premises (@p386 @p385) :args (@t255)) % 0.36/0.90 (step @p388 :rule trans :premises (@p387 @p372)) % 0.36/0.90 (step @p389 :rule quant-miniscope-or :args ((= (forall @t252 @t256) @t255))) % 0.36/0.90 (step @p390 :rule aci_norm :args ((= @t257 @t256))) % 0.36/0.90 (step @p391 :rule cong :premises (@p390) :args ((forall @t252 @t257))) % 0.36/0.90 (step @p392 :rule trans :premises (@p391 @p389)) % 0.36/0.90 (step @p393 :rule trans :premises (@p392 @p388)) % 0.36/0.90 (step @p394 :rule aci_norm :args ((= (or @t174 @t173 @t235 false @t250) @t257))) % 0.36/0.90 (step @p395 :rule refl :args (@t250)) % 0.36/0.90 (step @p396 :rule eq-refl :args (@t170)) % 0.36/0.90 (step @p397 :rule cong :premises (@p396) :args (@t258)) % 0.36/0.90 (step @p398 :rule trans :premises (@p397 @p224)) % 0.36/0.90 (step @p399 :rule refl :args (@t173)) % 0.36/0.90 (step @p400 :rule refl :args (@t174)) % 0.36/0.90 (step @p401 :rule nary_cong :premises (@p400 @p399 @p386 @p398 @p395) :args (@t259)) % 0.36/0.90 (step @p402 :rule trans :premises (@p401 @p394)) % 0.36/0.90 (step @p403 :rule cong :premises (@p402) :args ((forall @t252 @t259))) % 0.36/0.90 (step @p404 :rule trans :premises (@p403 @p393)) % 0.36/0.90 (step @p405 :rule quant-var-elim-eq :args ((= (forall @t263 @t262) @t259))) % 0.36/0.90 (step @p406 :rule aci_norm :args ((= @t264 @t262))) % 0.36/0.90 (step @p407 :rule cong :premises (@p406) :args (@t265)) % 0.36/0.90 (step @p408 :rule trans :premises (@p407 @p405)) % 0.36/0.90 (step @p409 :rule cong :premises (@p408) :args (@t266)) % 0.36/0.90 (step @p410 :rule quant-merge-prenex :args ((= @t266 @t267))) % 0.36/0.90 (step @p411 :rule symm :premises (@p410)) % 0.36/0.90 (step @p412 :rule trans :premises (@p411 @p409)) % 0.36/0.90 (step @p413 :rule trans :premises (@p412 @p404)) % 0.36/0.90 (step @p414 :rule refl :args (@t163)) % 0.36/0.90 (step @p415 :rule refl :args (@t165)) % 0.36/0.90 (step @p416 :rule nary_cong :premises (@p415 @p414 @p413) :args (@t268)) % 0.36/0.90 (step @p417 :rule trans :premises (@p416 @p371)) % 0.36/0.90 (step @p418 :rule quant-miniscope-or :args ((= (forall @t175 @t269) @t268))) % 0.36/0.90 (step @p419 :rule aci_norm :args ((= @t270 @t269))) % 0.36/0.90 (step @p420 :rule cong :premises (@p419) :args ((forall @t175 @t270))) % 0.36/0.90 (step @p421 :rule trans :premises (@p420 @p418)) % 0.36/0.90 (step @p422 :rule trans :premises (@p421 @p417)) % 0.36/0.90 (step @p423 :rule eq-symm :args (@t168 @t166)) % 0.36/0.90 (step @p424 :rule cong :premises (@p423) :args (@t169)) % 0.36/0.90 (step @p425 :rule eq-symm :args (@t170 @t167)) % 0.36/0.90 (step @p426 :rule cong :premises (@p425) :args (@t171)) % 0.36/0.90 (step @p427 :rule refl :args (@t172)) % 0.36/0.90 (step @p428 :rule nary_cong :premises (@p400 @p399 @p427 @p426 @p424 @p415 @p414) :args (@t178)) % 0.36/0.90 (step @p429 :rule cong :premises (@p428) :args (@t179)) % 0.36/0.90 (step @p430 :rule trans :premises (@p429 @p422)) % 0.36/0.90 (step @p431 :rule eq_resolve :premises (@p193 @p430)) % 0.36/0.90 (step @p432 :rule reordering :premises (@p431) :args ((or @t163 @t165 @t235 @t245 @t244))) % 0.36/0.90 (step @p433 :rule chain_m_resolution :premises (@p432 @p210 @p370 @p346 @p353) :args (@t244 (@list false false false false) (@list @t162 @t164 @t230 @t238))) % 0.36/0.90 (step @p434 :rule bool-double-not-elim :args (@t224)) % 0.36/0.90 (step @p435 :rule refl :args (@t271)) % 0.36/0.90 (step @p436 :rule refl :args (@t272)) % 0.36/0.90 (step @p437 :rule refl :args (@t273)) % 0.36/0.90 (step @p438 :rule refl :args (@t274)) % 0.36/0.90 (step @p439 :rule refl :args (@t275)) % 0.36/0.90 (step @p440 :rule refl :args (@t276)) % 0.36/0.90 (step @p441 :rule refl :args (@t277)) % 0.36/0.90 (step @p442 :rule nary_cong :premises (@p249 @p441 @p440 @p439 @p438 @p437 @p436 @p435 @p434) :args ((or @t202 @t277 @t276 @t275 @t274 @t273 @t272 @t271 (not @t225)))) % 0.36/0.90 (assume-push @p554 @t280) % 0.36/0.90 (assume-push @p555 @t281) % 0.36/0.90 (step @p255 :rule evaluate :args (@t203)) % 0.36/0.90 (step @p445 :rule true_intro :premises (@p554)) % 0.36/0.90 (step @p446 :rule false_intro :premises (@p555)) % 0.36/0.90 (step @p447 :rule symm :premises (@p446)) % 0.36/0.90 (step @p448 :rule trans :premises (@p447 @p445)) % 0.36/0.90 (step @p449 false :rule eq_resolve :premises (@p448 @p255)) % 0.36/0.90 (step-pop @p556 :rule scope :premises (@p449)) % 0.36/0.90 (step-pop @p557 :rule scope :premises (@p556)) % 0.36/0.90 (step @p450 :rule process_scope :premises (@p557) :args (false)) % 0.36/0.90 (assume-push @p558 @t158) % 0.36/0.90 (assume-push @p559 @t159) % 0.36/0.90 (assume-push @p560 @t244) % 0.36/0.90 (assume-push @p561 @t181) % 0.36/0.90 (assume-push @p562 @t208) % 0.36/0.90 (assume-push @p563 @t214) % 0.36/0.90 (assume-push @p564 @t234) % 0.36/0.90 (assume-push @p565 @t217) % 0.36/0.90 (assume-push @p566 @t225) % 0.36/0.90 (assume-push @p567 @t225) % 0.36/0.90 (assume-push @p568 @t217) % 0.36/0.90 (assume-push @p569 @t214) % 0.36/0.90 (assume-push @p570 @t158) % 0.36/0.90 (assume-push @p571 @t208) % 0.36/0.90 (step @p467 :rule false_intro :premises (@p313)) % 0.36/0.90 (step @p468 :rule symm :premises (@p562)) % 0.36/0.90 (step @p469 :rule cong :premises (@p207) :args (@t170)) % 0.36/0.90 (step @p470 :rule cong :premises (@p207) :args (@t278)) % 0.36/0.90 (step @p471 :rule cong :premises (@p470 @p469) :args (@t279)) % 0.36/0.90 (step @p472 :rule trans :premises (@p471 @p468 @p563)) % 0.36/0.90 (step @p473 :rule symm :premises (@p304)) % 0.36/0.90 (step @p474 :rule trans :premises (@p207 @p563)) % 0.36/0.90 (step @p475 :rule cong :premises (@p474) :args (@t170)) % 0.36/0.90 (step @p476 :rule trans :premises (@p475 @p473)) % 0.36/0.90 (step @p477 :rule cong :premises (@p476 @p472) :args (@t280)) % 0.36/0.90 (step @p478 :rule trans :premises (@p477 @p467)) % 0.36/0.90 (step @p479 :rule false_elim :premises (@p478)) % 0.36/0.90 (step-pop @p572 :rule scope :premises (@p479)) % 0.36/0.90 (step-pop @p573 :rule scope :premises (@p572)) % 0.36/0.90 (step-pop @p574 :rule scope :premises (@p573)) % 0.36/0.90 (step-pop @p575 :rule scope :premises (@p574)) % 0.36/0.90 (step-pop @p576 :rule scope :premises (@p575)) % 0.36/0.90 (step @p480 :rule process_scope :premises (@p576) :args (@t281)) % 0.36/0.90 (step @p486 :rule and_intro :premises (@p313 @p304 @p563 @p187 @p562)) % 0.36/0.90 (step @p487 :rule modus_ponens :premises (@p486 @p480)) % 0.36/0.90 (assume-push @p577 @t158) % 0.36/0.90 (assume-push @p578 @t208) % 0.36/0.90 (assume-push @p579 @t244) % 0.36/0.90 (assume-push @p580 @t159) % 0.36/0.90 (assume-push @p581 @t181) % 0.36/0.90 (assume-push @p582 @t234) % 0.36/0.90 (step @p494 :rule cong :premises (@p187) :args (@t205)) % 0.36/0.90 (step @p495 :rule cong :premises (@p187) :args (@t206)) % 0.36/0.90 (step @p496 :rule cong :premises (@p495 @p494) :args (@t207)) % 0.36/0.90 (step @p497 :rule symm :premises (@p560)) % 0.36/0.90 (step @p498 :rule refl :args (@t170)) % 0.36/0.90 (step @p499 :rule trans :premises (@p215 @p188)) % 0.36/0.90 (step @p500 :rule cong :premises (@p499 @p498) :args (@t233)) % 0.36/0.90 (step @p501 :rule trans :premises (@p564 @p500 @p497 @p207 @p562 @p496)) % 0.36/0.90 (step-pop @p583 :rule scope :premises (@p501)) % 0.36/0.90 (step-pop @p584 :rule scope :premises (@p583)) % 0.36/0.90 (step-pop @p585 :rule scope :premises (@p584)) % 0.36/0.90 (step-pop @p586 :rule scope :premises (@p585)) % 0.36/0.90 (step-pop @p587 :rule scope :premises (@p586)) % 0.36/0.90 (step-pop @p588 :rule scope :premises (@p587)) % 0.36/0.90 (step @p502 :rule process_scope :premises (@p588) :args (@t280)) % 0.36/0.90 (step @p509 :rule and_intro :premises (@p187 @p562 @p560 @p188 @p215 @p564)) % 0.36/0.90 (step @p510 :rule modus_ponens :premises (@p509 @p502)) % 0.36/0.90 (step @p511 :rule and_intro :premises (@p510 @p487)) % 0.36/0.90 (step-pop @p589 :rule scope :premises (@p511)) % 0.36/0.90 (step-pop @p590 :rule scope :premises (@p589)) % 0.36/0.90 (step-pop @p591 :rule scope :premises (@p590)) % 0.36/0.90 (step-pop @p592 :rule scope :premises (@p591)) % 0.36/0.90 (step-pop @p593 :rule scope :premises (@p592)) % 0.36/0.90 (step-pop @p594 :rule scope :premises (@p593)) % 0.36/0.90 (step-pop @p595 :rule scope :premises (@p594)) % 0.36/0.90 (step-pop @p596 :rule scope :premises (@p595)) % 0.36/0.90 (step-pop @p597 :rule scope :premises (@p596)) % 0.36/0.90 (step @p512 :rule process_scope :premises (@p597) :args (@t282)) % 0.36/0.90 (step @p522 :rule implies_elim :premises (@p512)) % 0.36/0.90 (step @p523 :rule resolution :premises (@p522 @p450) :args (true @t282)) % 0.36/0.90 (step @p524 :rule not_and :premises (@p523)) % 0.36/0.90 (step @p525 :rule eq_resolve :premises (@p524 @p442)) % 0.36/0.90 (step @p526 :rule reordering :premises (@p525) :args ((or @t202 @t277 @t276 @t275 @t274 @t273 @t224 @t272 @t271))) % 0.36/0.90 (step @p527 false :rule chain_m_resolution :premises (@p526 @p433 @p349 @p313 @p304 @p293 @p285 @p215 @p188 @p187) :args (false (@list false false true false false false false false false) (@list @t244 @t234 @t224 @t217 @t214 @t208 @t181 @t159 @t158))) % 0.36/0.90 ) % 0.36/0.90 % SZS output end Proof % 0.36/0.90 % cvc5 exiting %------------------------------------------------------------------------------