%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC341-1 : 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 : n009.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 08:58:56 AM UTC 2026 % Result : Unsatisfiable 34.01s 34.83s % Output : Proof 34.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC341-1 : 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 % 0.16/0.34 % Computer : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:41:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.71/16.01 --- Run --no-e-matching --full-saturate-quant at 6... % 21.84/22.06 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.85/28.10 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.94/34.18 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.01/34.83 % SZS status Unsatisfiable % 34.01/34.83 % SZS output start Proof % 34.01/34.84 ( % 34.01/34.84 (declare-sort $$unsorted 0) % 34.01/34.84 (declare-const tptp.sk5 $$unsorted) % 34.01/34.84 (declare-const tptp.sk4 $$unsorted) % 34.01/34.84 (declare-const tptp.sk2 $$unsorted) % 34.01/34.84 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.nil $$unsorted) % 34.01/34.84 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.sk1 $$unsorted) % 34.01/34.84 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.skac2 $$unsorted) % 34.01/34.84 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.sk3 $$unsorted) % 34.01/34.84 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.ssList (-> $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skac3 $$unsorted) % 34.01/34.84 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 34.01/34.84 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 34.01/34.84 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 34.01/34.84 (define @t1 () (tptp.totalorderedP tptp.nil)) % 34.01/34.84 (define @t2 () (tptp.ssList tptp.nil)) % 34.01/34.84 (define @t3 () (@var "U" $$unsorted)) % 34.01/34.84 (define @t4 () (tptp.skaf83 @t3)) % 34.01/34.84 (define @t5 () (@list @t3)) % 34.01/34.84 (define @t6 () (tptp.skaf82 @t3)) % 34.01/34.84 (define @t7 () (tptp.skaf81 @t3)) % 34.01/34.84 (define @t8 () (tptp.skaf80 @t3)) % 34.01/34.84 (define @t9 () (tptp.skaf79 @t3)) % 34.01/34.84 (define @t10 () (tptp.skaf78 @t3)) % 34.01/34.84 (define @t11 () (tptp.skaf77 @t3)) % 34.01/34.84 (define @t12 () (tptp.skaf76 @t3)) % 34.01/34.84 (define @t13 () (tptp.skaf75 @t3)) % 34.01/34.84 (define @t14 () (tptp.skaf74 @t3)) % 34.01/34.84 (define @t15 () (tptp.skaf73 @t3)) % 34.01/34.84 (define @t16 () (tptp.skaf72 @t3)) % 34.01/34.84 (define @t17 () (tptp.skaf71 @t3)) % 34.01/34.84 (define @t18 () (tptp.skaf70 @t3)) % 34.01/34.84 (define @t19 () (tptp.skaf69 @t3)) % 34.01/34.84 (define @t20 () (tptp.skaf68 @t3)) % 34.01/34.84 (define @t21 () (tptp.skaf67 @t3)) % 34.01/34.84 (define @t22 () (tptp.skaf66 @t3)) % 34.01/34.84 (define @t23 () (tptp.skaf65 @t3)) % 34.01/34.84 (define @t24 () (tptp.skaf64 @t3)) % 34.01/34.84 (define @t25 () (tptp.skaf63 @t3)) % 34.01/34.84 (define @t26 () (tptp.skaf62 @t3)) % 34.01/34.84 (define @t27 () (tptp.skaf61 @t3)) % 34.01/34.84 (define @t28 () (tptp.skaf60 @t3)) % 34.01/34.84 (define @t29 () (tptp.skaf59 @t3)) % 34.01/34.84 (define @t30 () (tptp.skaf58 @t3)) % 34.01/34.84 (define @t31 () (tptp.skaf57 @t3)) % 34.01/34.84 (define @t32 () (tptp.skaf56 @t3)) % 34.01/34.84 (define @t33 () (tptp.skaf55 @t3)) % 34.01/34.84 (define @t34 () (tptp.skaf54 @t3)) % 34.01/34.84 (define @t35 () (tptp.skaf53 @t3)) % 34.01/34.84 (define @t36 () (tptp.skaf52 @t3)) % 34.01/34.84 (define @t37 () (tptp.skaf51 @t3)) % 34.01/34.84 (define @t38 () (tptp.skaf50 @t3)) % 34.01/34.84 (define @t39 () (tptp.skaf49 @t3)) % 34.01/34.84 (define @t40 () (tptp.skaf44 @t3)) % 34.01/34.84 (define @t41 () (@var "V" $$unsorted)) % 34.01/34.84 (define @t42 () (@list @t3 @t41)) % 34.01/34.84 (define @t43 () (tptp.skaf47 @t3 @t41)) % 34.01/34.84 (define @t44 () (tptp.skaf46 @t3 @t41)) % 34.01/34.84 (define @t45 () (tptp.skaf45 @t3 @t41)) % 34.01/34.84 (define @t46 () (tptp.skaf42 @t3 @t41)) % 34.01/34.84 (define @t47 () (not (tptp.ssItem @t3))) % 34.01/34.84 (define @t48 () (not (tptp.ssList @t3))) % 34.01/34.84 (define @t49 () (tptp.cons @t3 tptp.nil)) % 34.01/34.84 (define @t50 () (tptp.ssItem @t41)) % 34.01/34.84 (define @t51 () (tptp.duplicatefreeP @t3)) % 34.01/34.84 (define @t52 () (tptp.app @t3 tptp.nil)) % 34.01/34.84 (define @t53 () (or @t48 (= @t52 @t3))) % 34.01/34.84 (define @t54 () (forall @t5 @t53)) % 34.01/34.84 (define @t55 () (tptp.app tptp.nil @t3)) % 34.01/34.84 (define @t56 () (or @t48 (= @t55 @t3))) % 34.01/34.84 (define @t57 () (forall @t5 @t56)) % 34.01/34.84 (define @t58 () (= tptp.nil @t3)) % 34.01/34.84 (define @t59 () (tptp.tl @t3)) % 34.01/34.84 (define @t60 () (tptp.hd @t3)) % 34.01/34.84 (define @t61 () (tptp.segmentP tptp.nil @t3)) % 34.01/34.84 (define @t62 () (not @t58)) % 34.01/34.84 (define @t63 () (or @t62 @t48 @t61)) % 34.01/34.84 (define @t64 () (forall @t5 @t63)) % 34.01/34.84 (define @t65 () (tptp.rearsegP tptp.nil @t3)) % 34.01/34.84 (define @t66 () (tptp.frontsegP tptp.nil @t3)) % 34.01/34.84 (define @t67 () (tptp.app @t41 @t3)) % 34.01/34.84 (define @t68 () (not (tptp.ssList @t41))) % 34.01/34.84 (define @t69 () (tptp.cons @t3 @t41)) % 34.01/34.84 (define @t70 () (tptp.cyclefreeP @t3)) % 34.01/34.84 (define @t71 () (tptp.equalelemsP @t3)) % 34.01/34.84 (define @t72 () (tptp.strictorderedP @t3)) % 34.01/34.84 (define @t73 () (tptp.totalorderedP @t3)) % 34.01/34.84 (define @t74 () (tptp.strictorderP @t3)) % 34.01/34.84 (define @t75 () (tptp.totalorderP @t3)) % 34.01/34.84 (define @t76 () (= @t41 @t3)) % 34.01/34.84 (define @t77 () (tptp.neq @t41 @t3)) % 34.01/34.84 (define @t78 () (or @t48 @t68 @t77 @t76)) % 34.01/34.84 (define @t79 () (forall @t42 @t78)) % 34.01/34.84 (define @t80 () (not @t50)) % 34.01/34.84 (define @t81 () (tptp.leq @t3 @t41)) % 34.01/34.84 (define @t82 () (tptp.lt @t3 @t41)) % 34.01/34.84 (define @t83 () (not @t82)) % 34.01/34.84 (define @t84 () (tptp.lt @t41 @t3)) % 34.01/34.84 (define @t85 () (not (tptp.gt @t3 @t41))) % 34.01/34.84 (define @t86 () (tptp.gt @t41 @t3)) % 34.01/34.84 (define @t87 () (tptp.leq @t41 @t3)) % 34.01/34.84 (define @t88 () (not (tptp.geq @t3 @t41))) % 34.01/34.84 (define @t89 () (tptp.geq @t41 @t3)) % 34.01/34.84 (define @t90 () (not @t81)) % 34.01/34.84 (define @t91 () (= @t3 @t41)) % 34.01/34.84 (define @t92 () (not @t91)) % 34.01/34.84 (define @t93 () (tptp.cons @t41 @t3)) % 34.01/34.84 (define @t94 () (not (tptp.neq @t3 @t41))) % 34.01/34.84 (define @t95 () (tptp.app @t3 @t41)) % 34.01/34.84 (define @t96 () (= @t95 tptp.nil)) % 34.01/34.84 (define @t97 () (not @t96)) % 34.01/34.84 (define @t98 () (or @t97 @t68 @t48 @t58)) % 34.01/34.84 (define @t99 () (forall @t42 @t98)) % 34.01/34.84 (define @t100 () (= tptp.nil @t41)) % 34.01/34.84 (define @t101 () (tptp.app @t49 @t41)) % 34.01/34.84 (define @t102 () (or @t47 @t68 (= @t101 @t69))) % 34.01/34.84 (define @t103 () (forall @t42 @t102)) % 34.01/34.84 (define @t104 () (tptp.hd @t41)) % 34.01/34.84 (define @t105 () (tptp.strictorderedP @t41)) % 34.01/34.84 (define @t106 () (tptp.strictorderedP @t69)) % 34.01/34.84 (define @t107 () (not @t106)) % 34.01/34.84 (define @t108 () (tptp.totalorderedP @t41)) % 34.01/34.84 (define @t109 () (tptp.totalorderedP @t69)) % 34.01/34.84 (define @t110 () (not @t109)) % 34.01/34.84 (define @t111 () (not (tptp.segmentP @t3 @t41))) % 34.01/34.84 (define @t112 () (not (tptp.rearsegP @t3 @t41))) % 34.01/34.84 (define @t113 () (not (tptp.frontsegP @t3 @t41))) % 34.01/34.84 (define @t114 () (not @t87)) % 34.01/34.84 (define @t115 () (tptp.app @t41 @t45)) % 34.01/34.84 (define @t116 () (or @t113 @t68 @t48 (= @t115 @t3))) % 34.01/34.84 (define @t117 () (forall @t42 @t116)) % 34.01/34.84 (define @t118 () (tptp.tl @t41)) % 34.01/34.84 (define @t119 () (tptp.lt @t3 @t104)) % 34.01/34.84 (define @t120 () (tptp.leq @t3 @t104)) % 34.01/34.84 (define @t121 () (@var "W" $$unsorted)) % 34.01/34.84 (define @t122 () (tptp.app @t121 @t3)) % 34.01/34.84 (define @t123 () (not (tptp.ssList @t121))) % 34.01/34.84 (define @t124 () (@list @t3 @t41 @t121)) % 34.01/34.84 (define @t125 () (tptp.app @t3 @t121)) % 34.01/34.84 (define @t126 () (tptp.cons @t41 @t121)) % 34.01/34.84 (define @t127 () (tptp.cons @t121 @t3)) % 34.01/34.84 (define @t128 () (not (tptp.ssItem @t121))) % 34.01/34.84 (define @t129 () (not (tptp.memberP @t3 @t41))) % 34.01/34.84 (define @t130 () (not (= @t95 @t121))) % 34.01/34.84 (define @t131 () (tptp.lt @t3 @t121)) % 34.01/34.84 (define @t132 () (not (tptp.lt @t41 @t121))) % 34.01/34.84 (define @t133 () (tptp.app @t121 @t41)) % 34.01/34.84 (define @t134 () (= @t41 @t121)) % 34.01/34.84 (define @t135 () (= @t3 @t121)) % 34.01/34.84 (define @t136 () (tptp.memberP @t41 @t121)) % 34.01/34.84 (define @t137 () (tptp.app (tptp.app @t43 @t41) (tptp.skaf48 @t41 @t3))) % 34.01/34.84 (define @t138 () (or @t111 @t68 @t48 (= @t137 @t3))) % 34.01/34.84 (define @t139 () (forall @t42 @t138)) % 34.01/34.84 (define @t140 () (tptp.app @t46 (tptp.cons @t41 (tptp.skaf43 @t41 @t3)))) % 34.01/34.84 (define @t141 () (or @t129 @t80 @t48 (= @t140 @t3))) % 34.01/34.84 (define @t142 () (forall @t42 @t141)) % 34.01/34.84 (define @t143 () (@var "X" $$unsorted)) % 34.01/34.84 (define @t144 () (not (tptp.ssList @t143))) % 34.01/34.84 (define @t145 () (tptp.cons @t121 @t143)) % 34.01/34.84 (define @t146 () (not (= @t69 @t145))) % 34.01/34.84 (define @t147 () (@list @t3 @t41 @t121 @t143)) % 34.01/34.84 (define @t148 () (not (tptp.frontsegP @t69 @t145))) % 34.01/34.84 (define @t149 () (tptp.app @t3 @t126)) % 34.01/34.84 (define @t150 () (not (tptp.ssItem @t143))) % 34.01/34.84 (define @t151 () (@var "Y" $$unsorted)) % 34.01/34.84 (define @t152 () (not (tptp.ssList @t151))) % 34.01/34.84 (define @t153 () (@list @t3 @t41 @t121 @t143 @t151)) % 34.01/34.84 (define @t154 () (tptp.lt @t41 @t143)) % 34.01/34.84 (define @t155 () (@var "Z" $$unsorted)) % 34.01/34.84 (define @t156 () (not (tptp.ssList @t155))) % 34.01/34.84 (define @t157 () (not (= (tptp.app @t149 (tptp.cons @t143 @t151)) @t155))) % 34.01/34.84 (define @t158 () (@list @t3 @t41 @t121 @t143 @t151 @t155)) % 34.01/34.84 (define @t159 () (tptp.leq @t41 @t143)) % 34.01/34.84 (define @t160 () (tptp.ssList tptp.sk3)) % 34.01/34.84 (define @t161 () (tptp.ssList tptp.sk4)) % 34.01/34.84 (define @t162 () (= tptp.nil tptp.sk4)) % 34.01/34.84 (define @t163 () (not @t162)) % 34.01/34.84 (define @t164 () (= tptp.nil tptp.sk3)) % 34.01/34.84 (define @t165 () (tptp.neq tptp.sk4 tptp.nil)) % 34.01/34.84 (define @t166 () (not @t165)) % 34.01/34.84 (define @t167 () (tptp.ssItem tptp.sk5)) % 34.01/34.84 (define @t168 () (tptp.cons tptp.sk5 tptp.nil)) % 34.01/34.84 (define @t169 () (or (= @t168 tptp.sk3) @t166)) % 34.01/34.84 (define @t170 () (tptp.memberP tptp.sk4 tptp.sk5)) % 34.01/34.84 (define @t171 () (tptp.totalorderedP tptp.sk1)) % 34.01/34.84 (define @t172 () (not @t171)) % 34.01/34.84 (define @t173 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 34.01/34.84 (define @t174 () (not @t173)) % 34.01/34.84 (define @t175 () (or @t174 @t172)) % 34.01/34.84 (define @t176 () (@list tptp.sk3)) % 34.01/34.84 (define @t177 () (= tptp.sk3 (tptp.app tptp.sk3 tptp.nil))) % 34.01/34.84 (define @t178 () (not @t160)) % 34.01/34.84 (define @t179 () (or @t178 @t177)) % 34.01/34.84 (define @t180 () (@list false false)) % 34.01/34.84 (define @t181 () (tptp.app tptp.nil tptp.sk3)) % 34.01/34.84 (define @t182 () (= tptp.sk3 @t181)) % 34.01/34.84 (define @t183 () (or @t178 @t182)) % 34.01/34.84 (define @t184 () (tptp.skaf48 tptp.nil tptp.nil)) % 34.01/34.84 (define @t185 () (tptp.skaf47 tptp.nil tptp.nil)) % 34.01/34.84 (define @t186 () (tptp.app @t185 tptp.nil)) % 34.01/34.84 (define @t187 () (@list tptp.nil tptp.nil)) % 34.01/34.84 (define @t188 () (tptp.ssList @t186)) % 34.01/34.84 (define @t189 () (tptp.ssList @t185)) % 34.01/34.84 (define @t190 () (not @t189)) % 34.01/34.84 (define @t191 () (not @t2)) % 34.01/34.84 (define @t192 () (or @t191 @t190 @t188)) % 34.01/34.84 (define @t193 () (@list false false false)) % 34.01/34.84 (define @t194 () (tptp.segmentP tptp.nil tptp.nil)) % 34.01/34.84 (define @t195 () (not (= tptp.nil tptp.nil))) % 34.01/34.84 (define @t196 () (or @t195 @t191 @t194)) % 34.01/34.84 (define @t197 () (or @t62 @t62 @t48 @t61)) % 34.01/34.84 (define @t198 () (@list false)) % 34.01/34.84 (define @t199 () (= tptp.nil (tptp.app @t186 @t184))) % 34.01/34.84 (define @t200 () (not @t194)) % 34.01/34.84 (define @t201 () (or @t200 @t191 @t191 @t199)) % 34.01/34.84 (define @t202 () (= tptp.nil @t186)) % 34.01/34.84 (define @t203 () (not @t188)) % 34.01/34.84 (define @t204 () (tptp.ssList @t184)) % 34.01/34.84 (define @t205 () (not @t204)) % 34.01/34.84 (define @t206 () (not @t199)) % 34.01/34.84 (define @t207 () (or @t206 @t205 @t203 @t202)) % 34.01/34.84 (define @t208 () (@list false false false false)) % 34.01/34.84 (define @t209 () (tptp.totalorderedP tptp.sk3)) % 34.01/34.84 (define @t210 () (and @t1 @t164)) % 34.01/34.84 (define @t211 () (not @t164)) % 34.01/34.84 (define @t212 () (@list tptp.sk4)) % 34.01/34.84 (define @t213 () (tptp.segmentP tptp.sk4 tptp.nil)) % 34.01/34.84 (define @t214 () (not @t161)) % 34.01/34.84 (define @t215 () (or @t214 @t213)) % 34.01/34.84 (define @t216 () (tptp.segmentP tptp.sk4 tptp.sk3)) % 34.01/34.84 (define @t217 () (and @t164 @t213)) % 34.01/34.84 (define @t218 () (not @t216)) % 34.01/34.84 (define @t219 () (or @t191 @t214 @t165 @t162)) % 34.01/34.84 (define @t220 () (= tptp.sk3 @t168)) % 34.01/34.84 (define @t221 () (@list @t165)) % 34.01/34.84 (define @t222 () (tptp.skaf43 tptp.sk5 tptp.sk4)) % 34.01/34.84 (define @t223 () (@list tptp.sk5 @t222)) % 34.01/34.84 (define @t224 () (tptp.app @t168 @t222)) % 34.01/34.84 (define @t225 () (tptp.cons tptp.sk5 @t222)) % 34.01/34.84 (define @t226 () (= @t225 @t224)) % 34.01/34.84 (define @t227 () (tptp.ssList @t222)) % 34.01/34.84 (define @t228 () (not @t227)) % 34.01/34.84 (define @t229 () (not @t167)) % 34.01/34.84 (define @t230 () (or @t229 @t228 @t226)) % 34.01/34.84 (define @t231 () (tptp.skaf42 tptp.sk4 tptp.sk5)) % 34.01/34.84 (define @t232 () (tptp.skaf45 tptp.sk4 tptp.sk4)) % 34.01/34.84 (define @t233 () (@list tptp.sk4 tptp.sk5)) % 34.01/34.84 (define @t234 () (tptp.app @t231 @t225)) % 34.01/34.84 (define @t235 () (= tptp.sk4 @t234)) % 34.01/34.84 (define @t236 () (not @t170)) % 34.01/34.84 (define @t237 () (or @t236 @t229 @t214 @t235)) % 34.01/34.84 (define @t238 () (@list tptp.sk4 tptp.sk4)) % 34.01/34.84 (define @t239 () (tptp.frontsegP tptp.sk4 tptp.sk4)) % 34.01/34.84 (define @t240 () (or @t214 @t239)) % 34.01/34.84 (define @t241 () (= tptp.sk4 (tptp.app tptp.sk4 @t232))) % 34.01/34.84 (define @t242 () (not @t239)) % 34.01/34.84 (define @t243 () (or @t242 @t214 @t214 @t241)) % 34.01/34.84 (define @t244 () (tptp.totalorderedP @t168)) % 34.01/34.84 (define @t245 () (or @t229 @t244)) % 34.01/34.84 (define @t246 () (and @t220 @t244)) % 34.01/34.84 (define @t247 () (not @t220)) % 34.01/34.84 (define @t248 () (tptp.app @t234 @t232)) % 34.01/34.84 (define @t249 () (tptp.segmentP @t248 tptp.sk3)) % 34.01/34.84 (define @t250 () (not @t249)) % 34.01/34.84 (define @t251 () (not @t235)) % 34.01/34.84 (define @t252 () (not @t241)) % 34.01/34.84 (define @t253 () (and @t218 @t241 @t235)) % 34.01/34.84 (define @t254 () (tptp.ssList @t225)) % 34.01/34.84 (define @t255 () (or @t229 @t228 @t254)) % 34.01/34.84 (define @t256 () (not @t254)) % 34.01/34.84 (define @t257 () (tptp.ssList @t231)) % 34.01/34.84 (define @t258 () (not @t257)) % 34.01/34.84 (define @t259 () (tptp.ssList @t232)) % 34.01/34.84 (define @t260 () (not @t259)) % 34.01/34.84 (define @t261 () (tptp.segmentP @t225 tptp.sk3)) % 34.01/34.84 (define @t262 () (not @t261)) % 34.01/34.84 (define @t263 () (or @t262 @t260 @t258 @t178 @t256 @t249)) % 34.01/34.84 (define @t264 () (tptp.segmentP tptp.sk3 tptp.sk3)) % 34.01/34.84 (define @t265 () (or @t178 @t264)) % 34.01/34.84 (define @t266 () (tptp.segmentP (tptp.app @t181 @t222) tptp.sk3)) % 34.01/34.84 (define @t267 () (not @t264)) % 34.01/34.84 (define @t268 () (or @t267 @t228 @t191 @t178 @t178 @t266)) % 34.01/34.84 (define @t269 () (not @t266)) % 34.01/34.84 (define @t270 () (not @t226)) % 34.01/34.84 (define @t271 () (not @t202)) % 34.01/34.84 (define @t272 () (not @t182)) % 34.01/34.84 (define @t273 () (not @t177)) % 34.01/34.84 (define @t274 () (and @t266 @t182 @t177 @t220 @t202 @t226 @t262)) % 34.01/34.84 (assume @p1 (tptp.equalelemsP tptp.nil)) % 34.01/34.84 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 34.01/34.84 (assume @p3 (tptp.strictorderedP tptp.nil)) % 34.01/34.84 (assume @p4 @t1) % 34.01/34.84 (assume @p5 (tptp.strictorderP tptp.nil)) % 34.01/34.84 (assume @p6 (tptp.totalorderP tptp.nil)) % 34.01/34.84 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 34.01/34.84 (assume @p8 @t2) % 34.01/34.84 (assume @p9 (tptp.ssItem tptp.skac3)) % 34.01/34.84 (assume @p10 (tptp.ssItem tptp.skac2)) % 34.01/34.84 (assume @p11 (not (tptp.singletonP tptp.nil))) % 34.01/34.84 (assume @p12 (forall @t5 (tptp.ssItem @t4))) % 34.01/34.84 (assume @p13 (forall @t5 (tptp.ssList @t6))) % 34.01/34.84 (assume @p14 (forall @t5 (tptp.ssList @t7))) % 34.01/34.84 (assume @p15 (forall @t5 (tptp.ssList @t8))) % 34.01/34.84 (assume @p16 (forall @t5 (tptp.ssItem @t9))) % 34.01/34.84 (assume @p17 (forall @t5 (tptp.ssItem @t10))) % 34.01/34.84 (assume @p18 (forall @t5 (tptp.ssList @t11))) % 34.01/34.84 (assume @p19 (forall @t5 (tptp.ssList @t12))) % 34.01/34.84 (assume @p20 (forall @t5 (tptp.ssList @t13))) % 34.01/34.84 (assume @p21 (forall @t5 (tptp.ssItem @t14))) % 34.01/34.84 (assume @p22 (forall @t5 (tptp.ssList @t15))) % 34.01/34.84 (assume @p23 (forall @t5 (tptp.ssList @t16))) % 34.01/34.84 (assume @p24 (forall @t5 (tptp.ssList @t17))) % 34.01/34.84 (assume @p25 (forall @t5 (tptp.ssItem @t18))) % 34.01/34.84 (assume @p26 (forall @t5 (tptp.ssItem @t19))) % 34.01/34.84 (assume @p27 (forall @t5 (tptp.ssList @t20))) % 34.01/34.84 (assume @p28 (forall @t5 (tptp.ssList @t21))) % 34.01/34.84 (assume @p29 (forall @t5 (tptp.ssList @t22))) % 34.01/34.84 (assume @p30 (forall @t5 (tptp.ssItem @t23))) % 34.01/34.84 (assume @p31 (forall @t5 (tptp.ssItem @t24))) % 34.01/34.84 (assume @p32 (forall @t5 (tptp.ssList @t25))) % 34.01/34.84 (assume @p33 (forall @t5 (tptp.ssList @t26))) % 34.01/34.84 (assume @p34 (forall @t5 (tptp.ssList @t27))) % 34.01/34.84 (assume @p35 (forall @t5 (tptp.ssItem @t28))) % 34.01/34.84 (assume @p36 (forall @t5 (tptp.ssItem @t29))) % 34.01/34.84 (assume @p37 (forall @t5 (tptp.ssList @t30))) % 34.01/34.84 (assume @p38 (forall @t5 (tptp.ssList @t31))) % 34.01/34.84 (assume @p39 (forall @t5 (tptp.ssList @t32))) % 34.01/34.84 (assume @p40 (forall @t5 (tptp.ssItem @t33))) % 34.01/34.84 (assume @p41 (forall @t5 (tptp.ssItem @t34))) % 34.01/34.84 (assume @p42 (forall @t5 (tptp.ssList @t35))) % 34.01/34.84 (assume @p43 (forall @t5 (tptp.ssList @t36))) % 34.01/34.84 (assume @p44 (forall @t5 (tptp.ssList @t37))) % 34.01/34.84 (assume @p45 (forall @t5 (tptp.ssItem @t38))) % 34.01/34.84 (assume @p46 (forall @t5 (tptp.ssItem @t39))) % 34.01/34.84 (assume @p47 (forall @t5 (tptp.ssItem @t40))) % 34.01/34.84 (assume @p48 (forall @t42 (tptp.ssList (tptp.skaf48 @t3 @t41)))) % 34.01/34.84 (assume @p49 (forall @t42 (tptp.ssList @t43))) % 34.01/34.84 (assume @p50 (forall @t42 (tptp.ssList @t44))) % 34.01/34.84 (assume @p51 (forall @t42 (tptp.ssList @t45))) % 34.01/34.84 (assume @p52 (forall @t42 (tptp.ssList (tptp.skaf43 @t3 @t41)))) % 34.01/34.84 (assume @p53 (forall @t42 (tptp.ssList @t46))) % 34.01/34.84 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 34.01/34.84 (assume @p55 (forall @t5 (or @t47 (tptp.geq @t3 @t3)))) % 34.01/34.84 (assume @p56 (forall @t5 (or @t48 (tptp.segmentP @t3 tptp.nil)))) % 34.01/34.84 (assume @p57 (forall @t5 (or @t48 (tptp.segmentP @t3 @t3)))) % 34.01/34.84 (assume @p58 (forall @t5 (or @t48 (tptp.rearsegP @t3 tptp.nil)))) % 34.01/34.84 (assume @p59 (forall @t5 (or @t48 (tptp.rearsegP @t3 @t3)))) % 34.01/34.84 (assume @p60 (forall @t5 (or @t48 (tptp.frontsegP @t3 tptp.nil)))) % 34.01/34.84 (assume @p61 (forall @t5 (or @t48 (tptp.frontsegP @t3 @t3)))) % 34.01/34.84 (assume @p62 (forall @t5 (or @t47 (tptp.leq @t3 @t3)))) % 34.01/34.84 (assume @p63 (forall @t5 (or (not (tptp.lt @t3 @t3)) @t47))) % 34.01/34.84 (assume @p64 (forall @t5 (or @t47 (tptp.equalelemsP @t49)))) % 34.01/34.84 (assume @p65 (forall @t5 (or @t47 (tptp.duplicatefreeP @t49)))) % 34.01/34.84 (assume @p66 (forall @t5 (or @t47 (tptp.strictorderedP @t49)))) % 34.01/34.84 (assume @p67 (forall @t5 (or @t47 (tptp.totalorderedP @t49)))) % 34.01/34.84 (assume @p68 (forall @t5 (or @t47 (tptp.strictorderP @t49)))) % 34.01/34.84 (assume @p69 (forall @t5 (or @t47 (tptp.totalorderP @t49)))) % 34.01/34.84 (assume @p70 (forall @t5 (or @t47 (tptp.cyclefreeP @t49)))) % 34.01/34.84 (assume @p71 (forall @t5 (or (not (tptp.memberP tptp.nil @t3)) @t47))) % 34.01/34.84 (assume @p72 (forall @t42 (or @t48 @t51 @t50))) % 34.01/34.84 (assume @p73 @t54) % 34.01/34.84 (assume @p74 @t57) % 34.01/34.84 (assume @p75 (forall @t5 (or @t48 (tptp.ssList @t59) @t58))) % 34.01/34.84 (assume @p76 (forall @t5 (or @t48 (tptp.ssItem @t60) @t58))) % 34.01/34.84 (assume @p77 @t64) % 34.01/34.84 (assume @p78 (forall @t5 (or (not @t61) @t48 @t58))) % 34.01/34.84 (assume @p79 (forall @t5 (or @t62 @t48 @t65))) % 34.01/34.84 (assume @p80 (forall @t5 (or (not @t65) @t48 @t58))) % 34.01/34.84 (assume @p81 (forall @t5 (or @t62 @t48 @t66))) % 34.01/34.84 (assume @p82 (forall @t5 (or (not @t66) @t48 @t58))) % 34.01/34.84 (assume @p83 (forall @t42 (or @t48 @t68 (tptp.ssList @t67)))) % 34.01/34.84 (assume @p84 (forall @t42 (or @t47 @t68 (tptp.ssList @t69)))) % 34.01/34.84 (assume @p85 (forall @t5 (or @t48 @t70 (tptp.leq @t38 @t39)))) % 34.01/34.84 (assume @p86 (forall @t5 (or @t48 @t70 (tptp.leq @t39 @t38)))) % 34.01/34.84 (assume @p87 (forall @t5 (or (not (= @t9 @t10)) @t48 @t71))) % 34.01/34.84 (assume @p88 (forall @t5 (or (not (tptp.lt @t19 @t18)) @t48 @t72))) % 34.01/34.84 (assume @p89 (forall @t5 (or (not (tptp.leq @t24 @t23)) @t48 @t73))) % 34.01/34.84 (assume @p90 (forall @t5 (or (not (tptp.lt @t28 @t29)) @t48 @t74))) % 34.01/34.84 (assume @p91 (forall @t5 (or (not (tptp.lt @t29 @t28)) @t48 @t74))) % 34.01/34.84 (assume @p92 (forall @t5 (or (not (tptp.leq @t33 @t34)) @t48 @t75))) % 34.01/34.84 (assume @p93 (forall @t5 (or (not (tptp.leq @t34 @t33)) @t48 @t75))) % 34.01/34.84 (assume @p94 (forall @t42 (or @t47 @t68 (= (tptp.tl @t69) @t41)))) % 34.01/34.84 (assume @p95 (forall @t42 (or @t47 @t68 (= (tptp.hd @t69) @t3)))) % 34.01/34.84 (assume @p96 (forall @t42 (or (not (= @t69 tptp.nil)) @t47 @t68))) % 34.01/34.84 (assume @p97 (forall @t42 (or (not (= @t69 @t41)) @t47 @t68))) % 34.01/34.84 (assume @p98 @t79) % 34.01/34.84 (assume @p99 (forall @t5 (or (not (tptp.singletonP @t3)) @t48 (= (tptp.cons @t40 tptp.nil) @t3)))) % 34.01/34.84 (assume @p100 (forall @t42 (or @t47 @t80 @t77 @t76))) % 34.01/34.84 (assume @p101 (forall @t42 (or @t83 @t80 @t47 @t81))) % 34.01/34.84 (assume @p102 (forall @t5 (or @t48 (= (tptp.cons @t60 @t59) @t3) @t58))) % 34.01/34.84 (assume @p103 (forall @t42 (or @t85 @t80 @t47 @t84))) % 34.01/34.84 (assume @p104 (forall @t42 (or @t83 @t47 @t80 @t86))) % 34.01/34.84 (assume @p105 (forall @t42 (or @t88 @t80 @t47 @t87))) % 34.01/34.84 (assume @p106 (forall @t42 (or @t90 @t47 @t80 @t89))) % 34.01/34.84 (assume @p107 (forall @t5 (or @t48 (= (tptp.cons @t4 @t6) @t3) @t58))) % 34.01/34.84 (assume @p108 (forall @t42 (or @t85 (not @t86) @t47 @t80))) % 34.01/34.84 (assume @p109 (forall @t42 (or @t92 @t83 @t80 @t47))) % 34.01/34.84 (assume @p110 (forall @t42 (or @t62 @t48 @t80 (tptp.strictorderedP @t93)))) % 34.01/34.84 (assume @p111 (forall @t42 (or @t62 @t48 @t80 (tptp.totalorderedP @t93)))) % 34.01/34.84 (assume @p112 (forall @t42 (or @t83 (not @t84) @t47 @t80))) % 34.01/34.84 (assume @p113 (forall @t42 (or @t92 @t94 @t68 @t48))) % 34.01/34.84 (assume @p114 (forall @t42 (or (not (= @t49 @t41)) @t47 @t68 (tptp.singletonP @t41)))) % 34.01/34.84 (assume @p115 (forall @t42 (or @t92 @t94 @t80 @t47))) % 34.01/34.84 (assume @p116 @t99) % 34.01/34.84 (assume @p117 (forall @t42 (or @t97 @t68 @t48 @t100))) % 34.01/34.84 (assume @p118 @t103) % 34.01/34.84 (assume @p119 (forall @t42 (or @t90 @t80 @t47 @t82 @t91))) % 34.01/34.84 (assume @p120 (forall @t42 (or @t48 @t68 @t100 (= (tptp.hd @t67) @t104)))) % 34.01/34.84 (assume @p121 (forall @t42 (or @t107 @t68 @t47 @t105 @t100))) % 34.01/34.84 (assume @p122 (forall @t42 (or @t110 @t68 @t47 @t108 @t100))) % 34.01/34.84 (assume @p123 (forall @t42 (or @t88 (not @t89) @t47 @t80 @t76))) % 34.01/34.84 (assume @p124 (forall @t42 (or @t111 (not (tptp.segmentP @t41 @t3)) @t48 @t68 @t76))) % 34.01/34.84 (assume @p125 (forall @t42 (or @t112 (not (tptp.rearsegP @t41 @t3)) @t48 @t68 @t76))) % 34.01/34.84 (assume @p126 (forall @t42 (or @t113 (not (tptp.frontsegP @t41 @t3)) @t48 @t68 @t76))) % 34.01/34.84 (assume @p127 (forall @t42 (or @t90 @t114 @t47 @t80 @t76))) % 34.01/34.84 (assume @p128 (forall @t42 (or @t112 @t68 @t48 (= (tptp.app @t44 @t41) @t3)))) % 34.01/34.84 (assume @p129 @t117) % 34.01/34.84 (assume @p130 (forall @t42 (or @t48 @t68 @t100 (= (tptp.tl @t67) (tptp.app @t118 @t3))))) % 34.01/34.84 (assume @p131 (forall @t42 (or @t107 @t68 @t47 @t119 @t100))) % 34.01/34.84 (assume @p132 (forall @t42 (or @t110 @t68 @t47 @t120 @t100))) % 34.01/34.84 (assume @p133 (forall @t124 (or @t112 @t123 @t68 @t48 (tptp.rearsegP @t122 @t41)))) % 34.01/34.84 (assume @p134 (forall @t124 (or @t113 @t123 @t68 @t48 (tptp.frontsegP @t125 @t41)))) % 34.01/34.84 (assume @p135 (forall @t124 (or @t92 @t123 @t80 @t47 (tptp.memberP @t126 @t3)))) % 34.01/34.84 (assume @p136 (forall @t124 (or @t129 @t48 @t128 @t80 (tptp.memberP @t127 @t41)))) % 34.01/34.84 (assume @p137 (forall @t124 (or @t129 @t123 @t48 @t80 (tptp.memberP @t125 @t41)))) % 34.01/34.84 (assume @p138 (forall @t124 (or @t129 @t48 @t123 @t80 (tptp.memberP @t122 @t41)))) % 34.01/34.84 (assume @p139 (forall @t5 (or @t48 @t71 (= (tptp.app @t8 (tptp.cons @t10 (tptp.cons @t9 @t7))) @t3)))) % 34.01/34.84 (assume @p140 (forall @t124 (or @t130 @t48 @t68 @t123 (tptp.rearsegP @t121 @t41)))) % 34.01/34.84 (assume @p141 (forall @t124 (or @t130 @t68 @t48 @t123 (tptp.frontsegP @t121 @t3)))) % 34.01/34.84 (assume @p142 (forall @t42 (or @t62 (not @t100) @t68 @t48 @t96))) % 34.01/34.84 (assume @p143 (forall @t124 (or @t85 (not (tptp.gt @t41 @t121)) @t128 @t80 @t47 (tptp.gt @t3 @t121)))) % 34.01/34.84 (assume @p144 (forall @t124 (or @t90 @t132 @t128 @t80 @t47 @t131))) % 34.01/34.84 (assume @p145 (forall @t124 (or @t88 (not (tptp.geq @t41 @t121)) @t128 @t80 @t47 (tptp.geq @t3 @t121)))) % 34.01/34.84 (assume @p146 (forall @t124 (or @t48 @t68 @t123 (= (tptp.app @t133 @t3) (tptp.app @t121 @t67))))) % 34.01/34.84 (assume @p147 (forall @t124 (or (not (= @t95 @t125)) @t68 @t48 @t123 @t134))) % 34.01/34.84 (assume @p148 (forall @t124 (or (not (= @t95 @t133)) @t48 @t68 @t123 @t135))) % 34.01/34.84 (assume @p149 (forall @t124 (or @t111 (not (tptp.segmentP @t41 @t121)) @t123 @t68 @t48 (tptp.segmentP @t3 @t121)))) % 34.01/34.84 (assume @p150 (forall @t124 (or @t112 (not (tptp.rearsegP @t41 @t121)) @t123 @t68 @t48 (tptp.rearsegP @t3 @t121)))) % 34.01/34.84 (assume @p151 (forall @t124 (or @t113 (not (tptp.frontsegP @t41 @t121)) @t123 @t68 @t48 (tptp.frontsegP @t3 @t121)))) % 34.01/34.84 (assume @p152 (forall @t124 (or @t83 @t132 @t128 @t80 @t47 @t131))) % 34.01/34.84 (assume @p153 (forall @t124 (or @t90 (not (tptp.leq @t41 @t121)) @t128 @t80 @t47 (tptp.leq @t3 @t121)))) % 34.01/34.84 (assume @p154 (forall @t124 (or @t47 @t68 @t123 (= (tptp.cons @t3 (tptp.app @t41 @t121)) (tptp.app @t69 @t121))))) % 34.01/34.84 (assume @p155 (forall @t124 (or (not (tptp.memberP @t95 @t121)) @t68 @t48 @t128 @t136 (tptp.memberP @t3 @t121)))) % 34.01/34.84 (assume @p156 (forall @t42 (or (not @t120) (not @t108) @t68 @t47 @t109 @t100))) % 34.01/34.84 (assume @p157 (forall @t42 (or (not @t119) (not @t105) @t68 @t47 @t106 @t100))) % 34.01/34.84 (assume @p158 (forall @t124 (or (not (tptp.memberP @t69 @t121)) @t68 @t47 @t128 @t136 (= @t121 @t3)))) % 34.01/34.84 (assume @p159 (forall @t5 (or @t48 @t51 (= (tptp.app (tptp.app @t13 (tptp.cons @t14 @t12)) (tptp.cons @t14 @t11)) @t3)))) % 34.01/34.84 (assume @p160 (forall @t5 (or @t48 @t72 (= (tptp.app (tptp.app @t17 (tptp.cons @t19 @t16)) (tptp.cons @t18 @t15)) @t3)))) % 34.01/34.84 (assume @p161 (forall @t5 (or @t48 @t73 (= (tptp.app (tptp.app @t22 (tptp.cons @t24 @t21)) (tptp.cons @t23 @t20)) @t3)))) % 34.01/34.84 (assume @p162 (forall @t5 (or @t48 @t74 (= (tptp.app (tptp.app @t27 (tptp.cons @t29 @t26)) (tptp.cons @t28 @t25)) @t3)))) % 34.01/34.84 (assume @p163 (forall @t5 (or @t48 @t75 (= (tptp.app (tptp.app @t32 (tptp.cons @t34 @t31)) (tptp.cons @t33 @t30)) @t3)))) % 34.01/34.84 (assume @p164 (forall @t5 (or @t48 @t70 (= (tptp.app (tptp.app @t37 (tptp.cons @t39 @t36)) (tptp.cons @t38 @t35)) @t3)))) % 34.01/34.84 (assume @p165 @t139) % 34.01/34.84 (assume @p166 @t142) % 34.01/34.84 (assume @p167 (forall @t147 (or @t146 @t128 @t47 @t144 @t68 @t135))) % 34.01/34.84 (assume @p168 (forall @t147 (or @t146 @t128 @t47 @t144 @t68 (= @t143 @t41)))) % 34.01/34.84 (assume @p169 (forall @t147 (or @t111 @t123 @t144 @t68 @t48 (tptp.segmentP (tptp.app (tptp.app @t143 @t3) @t121) @t41)))) % 34.01/34.84 (assume @p170 (forall @t147 (or (not (= (tptp.app @t95 @t121) @t143)) @t123 @t48 @t68 @t144 (tptp.segmentP @t143 @t41)))) % 34.01/34.84 (assume @p171 (forall @t147 (or @t148 @t144 @t68 @t128 @t47 (tptp.frontsegP @t41 @t143)))) % 34.01/34.84 (assume @p172 (forall @t147 (or (not (= @t149 @t143)) @t123 @t48 @t80 @t144 (tptp.memberP @t143 @t41)))) % 34.01/34.84 (assume @p173 (forall @t147 (or @t148 @t144 @t68 @t128 @t47 @t135))) % 34.01/34.84 (assume @p174 (forall @t42 (or (not (= @t59 @t118)) (not (= @t60 @t104)) @t48 @t68 @t100 @t91 @t58))) % 34.01/34.84 (assume @p175 (forall @t147 (or @t113 (not (= @t121 @t143)) @t68 @t48 @t150 @t128 (tptp.frontsegP @t127 (tptp.cons @t143 @t41))))) % 34.01/34.84 (assume @p176 (forall @t153 (or (not (= (tptp.app @t149 (tptp.cons @t41 @t143)) @t151)) @t144 @t123 @t48 @t80 (not (tptp.duplicatefreeP @t151)) @t152))) % 34.01/34.84 (assume @p177 (forall @t153 (or (not (= (tptp.app @t3 (tptp.cons @t41 @t145)) @t151)) @t144 @t48 @t128 @t80 (not (tptp.equalelemsP @t151)) @t152 @t134))) % 34.01/34.84 (assume @p178 (forall @t158 (or @t157 @t152 @t123 @t48 @t150 @t80 (not (tptp.strictorderedP @t155)) @t156 @t154))) % 34.01/34.84 (assume @p179 (forall @t158 (or @t157 @t152 @t123 @t48 @t150 @t80 (not (tptp.totalorderedP @t155)) @t156 @t159))) % 34.01/34.84 (assume @p180 (forall @t158 (or @t157 @t152 @t123 @t48 @t150 @t80 (not (tptp.strictorderP @t155)) @t156 @t154 (tptp.lt @t143 @t41)))) % 34.01/34.84 (assume @p181 (forall @t158 (or @t157 @t152 @t123 @t48 @t150 @t80 (not (tptp.totalorderP @t155)) @t156 @t159 (tptp.leq @t143 @t41)))) % 34.01/34.84 (assume @p182 (forall @t158 (or @t90 @t114 (not (= (tptp.app (tptp.app @t121 (tptp.cons @t3 @t143)) (tptp.cons @t41 @t151)) @t155)) @t152 @t144 @t123 @t80 @t47 (not (tptp.cyclefreeP @t155)) @t156))) % 34.01/34.84 (assume @p183 (tptp.ssList tptp.sk1)) % 34.01/34.84 (assume @p184 (tptp.ssList tptp.sk2)) % 34.01/34.84 (assume @p185 @t160) % 34.01/34.84 (assume @p186 @t161) % 34.01/34.84 (assume @p187 (= tptp.sk2 tptp.sk4)) % 34.01/34.84 (assume @p188 (= tptp.sk1 tptp.sk3)) % 34.01/34.84 (assume @p189 (or @t164 @t163)) % 34.01/34.84 (assume @p190 (or @t167 @t166)) % 34.01/34.84 (assume @p191 @t169) % 34.01/34.84 (assume @p192 (or @t170 @t166)) % 34.01/34.84 (assume @p193 @t175) % 34.01/34.84 (step @p194 :rule eq-symm :args (@t52 @t3)) % 34.01/34.84 (step @p195 :rule refl :args (@t48)) % 34.01/34.84 (step @p196 :rule nary_cong :premises (@p195 @p194) :args (@t53)) % 34.01/34.84 (step @p197 :rule cong :premises (@p196) :args (@t54)) % 34.01/34.84 (step @p198 :rule eq_resolve :premises (@p73 @p197)) % 34.01/34.84 (step @p199 :rule instantiate :premises (@p198) :args (@t176)) % 34.01/34.84 (step @p200 :rule cnf_or_pos :args (@t179)) % 34.01/34.84 (step @p201 :rule reordering :premises (@p200) :args ((or @t178 @t177 (not @t179)))) % 34.01/34.84 (step @p202 :rule chain_m_resolution :premises (@p201 @p185 @p199) :args (@t177 @t180 (@list @t160 @t179))) % 34.01/34.84 (step @p203 :rule eq-symm :args (@t55 @t3)) % 34.01/34.84 (step @p204 :rule nary_cong :premises (@p195 @p203) :args (@t56)) % 34.01/34.84 (step @p205 :rule cong :premises (@p204) :args (@t57)) % 34.01/34.84 (step @p206 :rule eq_resolve :premises (@p74 @p205)) % 34.01/34.84 (step @p207 :rule instantiate :premises (@p206) :args (@t176)) % 34.01/34.84 (step @p208 :rule cnf_or_pos :args (@t183)) % 34.01/34.84 (step @p209 :rule reordering :premises (@p208) :args ((or @t178 @t182 (not @t183)))) % 34.01/34.84 (step @p210 :rule chain_m_resolution :premises (@p209 @p185 @p207) :args (@t182 @t180 (@list @t160 @t183))) % 34.01/34.84 (step @p211 :rule refl :args (@t58)) % 34.01/34.84 (step @p212 :rule refl :args (@t68)) % 34.01/34.84 (step @p213 :rule eq-symm :args (@t95 tptp.nil)) % 34.01/34.84 (step @p214 :rule cong :premises (@p213) :args (@t97)) % 34.01/34.84 (step @p215 :rule nary_cong :premises (@p214 @p212 @p195 @p211) :args (@t98)) % 34.01/34.84 (step @p216 :rule cong :premises (@p215) :args (@t99)) % 34.01/34.84 (step @p217 :rule eq_resolve :premises (@p116 @p216)) % 34.01/34.84 (step @p218 :rule instantiate :premises (@p217) :args ((@list @t186 @t184))) % 34.01/34.84 (step @p219 :rule instantiate :premises (@p83) :args ((@list tptp.nil @t185))) % 34.01/34.84 (step @p220 :rule instantiate :premises (@p49) :args (@t187)) % 34.01/34.84 (step @p221 :rule cnf_or_pos :args (@t192)) % 34.01/34.84 (step @p222 :rule reordering :premises (@p221) :args ((or @t191 @t190 @t188 (not @t192)))) % 34.01/34.84 (step @p223 :rule chain_m_resolution :premises (@p222 @p8 @p220 @p219) :args (@t188 @t193 (@list @t2 @t189 @t192))) % 34.01/34.84 (step @p224 :rule instantiate :premises (@p48) :args (@t187)) % 34.01/34.84 (step @p225 :rule eq-symm :args (@t137 @t3)) % 34.01/34.84 (step @p226 :rule refl :args (@t111)) % 34.01/34.84 (step @p227 :rule nary_cong :premises (@p226 @p212 @p195 @p225) :args (@t138)) % 34.01/34.84 (step @p228 :rule cong :premises (@p227) :args (@t139)) % 34.01/34.84 (step @p229 :rule eq_resolve :premises (@p165 @p228)) % 34.01/34.84 (step @p230 :rule instantiate :premises (@p229) :args (@t187)) % 34.01/34.84 (step @p231 :rule aci_norm :args ((= (or false @t191 @t194) (or @t191 @t194)))) % 34.01/34.84 (step @p232 :rule refl :args (@t194)) % 34.01/34.84 (step @p233 :rule refl :args (@t191)) % 34.01/34.84 (step @p234 :rule evaluate :args ((not true))) % 34.01/34.84 (step @p235 :rule eq-refl :args (tptp.nil)) % 34.01/34.84 (step @p236 :rule cong :premises (@p235) :args (@t195)) % 34.01/34.84 (step @p237 :rule trans :premises (@p236 @p234)) % 34.01/34.84 (step @p238 :rule nary_cong :premises (@p237 @p233 @p232) :args (@t196)) % 34.01/34.84 (step @p239 :rule trans :premises (@p238 @p231)) % 34.01/34.84 (step @p240 :rule quant-var-elim-eq :args ((= (forall @t5 (or (not (= @t3 tptp.nil)) @t62 @t48 @t61)) @t196))) % 34.01/34.84 (step @p241 :rule refl :args (@t61)) % 34.01/34.84 (step @p242 :rule refl :args (@t48)) % 34.01/34.84 (step @p243 :rule refl :args (@t62)) % 34.01/34.84 (step @p244 :rule eq-symm :args (tptp.nil @t3)) % 34.01/34.84 (step @p245 :rule cong :premises (@p244) :args (@t62)) % 34.01/34.84 (step @p246 :rule nary_cong :premises (@p245 @p243 @p242 @p241) :args (@t197)) % 34.01/34.84 (step @p247 :rule aci_norm :args ((= @t63 @t197))) % 34.01/34.84 (step @p248 :rule trans :premises (@p247 @p246)) % 34.01/34.84 (step @p249 :rule cong :premises (@p248) :args (@t64)) % 34.01/34.84 (step @p250 :rule trans :premises (@p249 @p240)) % 34.01/34.84 (step @p251 :rule trans :premises (@p250 @p239)) % 34.01/34.84 (step @p252 :rule eq_resolve :premises (@p77 @p251)) % 34.01/34.84 (step @p253 :rule chain_m_resolution :premises (@p252 @p8) :args (@t194 @t198 (@list @t2))) % 34.01/34.84 (step @p254 :rule cnf_or_pos :args (@t201)) % 34.01/34.84 (step @p255 :rule factoring :premises (@p254)) % 34.01/34.84 (step @p256 :rule reordering :premises (@p255) :args ((or @t191 @t200 @t199 (not @t201)))) % 34.01/34.84 (step @p257 :rule chain_m_resolution :premises (@p256 @p8 @p253 @p230) :args (@t199 @t193 (@list @t2 @t194 @t201))) % 34.01/34.84 (step @p258 :rule cnf_or_pos :args (@t207)) % 34.01/34.84 (step @p259 :rule reordering :premises (@p258) :args ((or @t206 @t202 @t205 @t203 (not @t207)))) % 34.01/34.84 (step @p260 :rule chain_m_resolution :premises (@p259 @p257 @p224 @p223 @p218) :args (@t202 @t208 (@list @t199 @t204 @t188 @t207))) % 34.01/34.84 (step @p261 :rule eq-symm :args (@t41 @t3)) % 34.01/34.84 (step @p262 :rule refl :args (@t77)) % 34.01/34.84 (step @p263 :rule nary_cong :premises (@p195 @p212 @p262 @p261) :args (@t78)) % 34.01/34.84 (step @p264 :rule cong :premises (@p263) :args (@t79)) % 34.01/34.84 (step @p265 :rule eq_resolve :premises (@p98 @p264)) % 34.01/34.84 (step @p266 :rule instantiate :premises (@p265) :args ((@list tptp.nil tptp.sk4))) % 34.01/34.84 (assume-push @p514 @t1) % 34.01/34.84 (assume-push @p515 @t164) % 34.01/34.84 (assume-push @p516 @t1) % 34.01/34.84 (assume-push @p517 @t164) % 34.01/34.84 (step @p271 :rule true_intro :premises (@p4)) % 34.01/34.84 (step @p272 :rule symm :premises (@p515)) % 34.01/34.84 (step @p273 :rule cong :premises (@p272) :args (@t209)) % 34.01/34.84 (step @p274 :rule trans :premises (@p273 @p271)) % 34.01/34.84 (step @p275 :rule true_elim :premises (@p274)) % 34.01/34.84 (step-pop @p518 :rule scope :premises (@p275)) % 34.01/34.84 (step-pop @p519 :rule scope :premises (@p518)) % 34.01/34.84 (step @p276 :rule process_scope :premises (@p519) :args (@t209)) % 34.01/34.84 (step @p279 :rule and_intro :premises (@p4 @p515)) % 34.01/34.84 (step @p280 :rule modus_ponens :premises (@p279 @p276)) % 34.01/34.84 (step-pop @p520 :rule scope :premises (@p280)) % 34.01/34.84 (step-pop @p521 :rule scope :premises (@p520)) % 34.01/34.84 (step @p281 :rule process_scope :premises (@p521) :args (@t209)) % 34.01/34.84 (step @p284 :rule implies_elim :premises (@p281)) % 34.01/34.84 (step @p285 :rule cnf_and_neg :args (@t210)) % 34.01/34.84 (step @p286 :rule resolution :premises (@p285 @p284) :args (true @t210)) % 34.01/34.84 (step @p287 :rule reordering :premises (@p286) :args ((or @t209 (not @t1) @t211))) % 34.01/34.84 (step @p288 :rule instantiate :premises (@p56) :args (@t212)) % 34.01/34.84 (step @p289 :rule cnf_or_pos :args (@t215)) % 34.01/34.84 (step @p290 :rule reordering :premises (@p289) :args ((or @t214 @t213 (not @t215)))) % 34.01/34.84 (step @p291 :rule chain_m_resolution :premises (@p290 @p186 @p288) :args (@t213 @t180 (@list @t161 @t215))) % 34.01/34.84 (assume-push @p522 @t164) % 34.01/34.84 (assume-push @p523 @t213) % 34.01/34.84 (assume-push @p524 @t213) % 34.01/34.84 (assume-push @p525 @t164) % 34.01/34.84 (step @p296 :rule true_intro :premises (@p291)) % 34.01/34.84 (step @p297 :rule symm :premises (@p522)) % 34.01/34.84 (step @p298 :rule refl :args (tptp.sk4)) % 34.01/34.84 (step @p299 :rule cong :premises (@p298 @p297) :args (@t216)) % 34.01/34.84 (step @p300 :rule trans :premises (@p299 @p296)) % 34.01/34.84 (step @p301 :rule true_elim :premises (@p300)) % 34.01/34.84 (step-pop @p526 :rule scope :premises (@p301)) % 34.01/34.84 (step-pop @p527 :rule scope :premises (@p526)) % 34.01/34.84 (step @p302 :rule process_scope :premises (@p527) :args (@t216)) % 34.01/34.84 (step @p305 :rule and_intro :premises (@p291 @p522)) % 34.01/34.84 (step @p306 :rule modus_ponens :premises (@p305 @p302)) % 34.01/34.84 (step-pop @p528 :rule scope :premises (@p306)) % 34.01/34.84 (step-pop @p529 :rule scope :premises (@p528)) % 34.01/34.84 (step @p307 :rule process_scope :premises (@p529) :args (@t216)) % 34.01/34.84 (step @p310 :rule implies_elim :premises (@p307)) % 34.01/34.84 (step @p311 :rule cnf_and_neg :args (@t217)) % 34.01/34.84 (step @p312 :rule resolution :premises (@p311 @p310) :args (true @t217)) % 34.01/34.84 (step @p313 :rule reordering :premises (@p312) :args ((or @t216 @t211 (not @t213)))) % 34.01/34.84 (step @p314 :rule cong :premises (@p188) :args (@t171)) % 34.01/34.84 (step @p315 :rule cong :premises (@p314) :args (@t172)) % 34.01/34.84 (step @p316 :rule cong :premises (@p187 @p188) :args (@t173)) % 34.01/34.84 (step @p317 :rule cong :premises (@p316) :args (@t174)) % 34.01/34.84 (step @p318 :rule nary_cong :premises (@p317 @p315) :args (@t175)) % 34.01/34.84 (step @p319 :rule eq_resolve :premises (@p193 @p318)) % 34.01/34.84 (step @p320 :rule reordering :premises (@p319) :args ((or (not @t209) @t218))) % 34.01/34.84 (step @p321 :rule chain_m_resolution :premises (@p320 @p313 @p291 @p287 @p4) :args (@t211 @t208 (@list @t216 @t213 @t209 @t1))) % 34.01/34.84 (step @p322 :rule chain_m_resolution :premises (@p189 @p321) :args (@t163 (@list true) (@list @t164))) % 34.01/34.84 (step @p323 :rule cnf_or_pos :args (@t219)) % 34.01/34.84 (step @p324 :rule reordering :premises (@p323) :args ((or @t162 @t165 @t191 @t214 (not @t219)))) % 34.01/34.84 (step @p325 :rule chain_m_resolution :premises (@p324 @p322 @p8 @p186 @p266) :args (@t165 (@list true false false false) (@list @t162 @t2 @t161 @t219))) % 34.01/34.84 (step @p326 :rule refl :args (@t166)) % 34.01/34.84 (step @p327 :rule eq-symm :args (@t168 tptp.sk3)) % 34.01/34.84 (step @p328 :rule nary_cong :premises (@p327 @p326) :args (@t169)) % 34.01/34.84 (step @p329 :rule eq_resolve :premises (@p191 @p328)) % 34.01/34.84 (step @p330 :rule reordering :premises (@p329) :args ((or @t166 @t220))) % 34.01/34.84 (step @p331 :rule chain_m_resolution :premises (@p330 @p325) :args (@t220 @t198 @t221)) % 34.01/34.84 (step @p332 :rule eq-symm :args (@t101 @t69)) % 34.01/34.84 (step @p333 :rule refl :args (@t47)) % 34.01/34.84 (step @p334 :rule nary_cong :premises (@p333 @p212 @p332) :args (@t102)) % 34.01/34.84 (step @p335 :rule cong :premises (@p334) :args (@t103)) % 34.01/34.84 (step @p336 :rule eq_resolve :premises (@p118 @p335)) % 34.01/34.84 (step @p337 :rule instantiate :premises (@p336) :args (@t223)) % 34.01/34.84 (step @p338 :rule instantiate :premises (@p52) :args ((@list tptp.sk5 tptp.sk4))) % 34.01/34.84 (step @p339 :rule chain_m_resolution :premises (@p190 @p325) :args (@t167 @t198 @t221)) % 34.01/34.84 (step @p340 :rule cnf_or_pos :args (@t230)) % 34.01/34.84 (step @p341 :rule reordering :premises (@p340) :args ((or @t229 @t228 @t226 (not @t230)))) % 34.01/34.84 (step @p342 :rule chain_m_resolution :premises (@p341 @p339 @p338 @p337) :args (@t226 @t193 (@list @t167 @t227 @t230))) % 34.01/34.84 (step @p343 :rule instantiate :premises (@p169) :args ((@list @t225 tptp.sk3 @t232 @t231))) % 34.01/34.84 (step @p344 :rule eq-symm :args (@t140 @t3)) % 34.01/34.84 (step @p345 :rule refl :args (@t80)) % 34.01/34.84 (step @p346 :rule refl :args (@t129)) % 34.01/34.84 (step @p347 :rule nary_cong :premises (@p346 @p345 @p195 @p344) :args (@t141)) % 34.01/34.84 (step @p348 :rule cong :premises (@p347) :args (@t142)) % 34.01/34.84 (step @p349 :rule eq_resolve :premises (@p166 @p348)) % 34.01/34.84 (step @p350 :rule instantiate :premises (@p349) :args (@t233)) % 34.01/34.84 (step @p351 :rule reordering :premises (@p192) :args ((or @t166 @t170))) % 34.01/34.84 (step @p352 :rule chain_m_resolution :premises (@p351 @p325) :args (@t170 @t198 @t221)) % 34.01/34.84 (step @p353 :rule cnf_or_pos :args (@t237)) % 34.01/34.84 (step @p354 :rule reordering :premises (@p353) :args ((or @t214 @t229 @t236 @t235 (not @t237)))) % 34.01/34.84 (step @p355 :rule chain_m_resolution :premises (@p354 @p186 @p339 @p352 @p350) :args (@t235 @t208 (@list @t161 @t167 @t170 @t237))) % 34.01/34.84 (step @p356 :rule eq-symm :args (@t115 @t3)) % 34.01/34.84 (step @p357 :rule refl :args (@t113)) % 34.01/34.84 (step @p358 :rule nary_cong :premises (@p357 @p212 @p195 @p356) :args (@t116)) % 34.01/34.84 (step @p359 :rule cong :premises (@p358) :args (@t117)) % 34.01/34.84 (step @p360 :rule eq_resolve :premises (@p129 @p359)) % 34.01/34.84 (step @p361 :rule instantiate :premises (@p360) :args (@t238)) % 34.01/34.84 (step @p362 :rule instantiate :premises (@p61) :args (@t212)) % 34.01/34.84 (step @p363 :rule cnf_or_pos :args (@t240)) % 34.01/34.84 (step @p364 :rule reordering :premises (@p363) :args ((or @t214 @t239 (not @t240)))) % 34.01/34.84 (step @p365 :rule chain_m_resolution :premises (@p364 @p186 @p362) :args (@t239 @t180 (@list @t161 @t240))) % 34.01/34.84 (step @p366 :rule cnf_or_pos :args (@t243)) % 34.01/34.84 (step @p367 :rule factoring :premises (@p366)) % 34.01/34.84 (step @p368 :rule reordering :premises (@p367) :args ((or @t214 @t242 @t241 (not @t243)))) % 34.01/34.84 (step @p369 :rule chain_m_resolution :premises (@p368 @p186 @p365 @p361) :args (@t241 @t193 (@list @t161 @t239 @t243))) % 34.01/34.84 (step @p370 :rule instantiate :premises (@p67) :args ((@list tptp.sk5))) % 34.01/34.84 (step @p371 :rule cnf_or_pos :args (@t245)) % 34.01/34.84 (step @p372 :rule reordering :premises (@p371) :args ((or @t229 @t244 (not @t245)))) % 34.01/34.84 (step @p373 :rule chain_m_resolution :premises (@p372 @p339 @p370) :args (@t244 @t180 (@list @t167 @t245))) % 34.01/34.84 (assume-push @p530 @t220) % 34.01/34.84 (assume-push @p531 @t244) % 34.01/34.84 (assume-push @p532 @t244) % 34.01/34.84 (assume-push @p533 @t220) % 34.01/34.84 (step @p378 :rule true_intro :premises (@p531)) % 34.01/34.84 (step @p379 :rule cong :premises (@p530) :args (@t209)) % 34.01/34.84 (step @p380 :rule trans :premises (@p379 @p378)) % 34.01/34.84 (step @p381 :rule true_elim :premises (@p380)) % 34.01/34.84 (step-pop @p534 :rule scope :premises (@p381)) % 34.01/34.84 (step-pop @p535 :rule scope :premises (@p534)) % 34.01/34.84 (step @p382 :rule process_scope :premises (@p535) :args (@t209)) % 34.01/34.84 (step @p385 :rule and_intro :premises (@p531 @p530)) % 34.01/34.84 (step @p386 :rule modus_ponens :premises (@p385 @p382)) % 34.01/34.84 (step-pop @p536 :rule scope :premises (@p386)) % 34.01/34.84 (step-pop @p537 :rule scope :premises (@p536)) % 34.01/34.84 (step @p387 :rule process_scope :premises (@p537) :args (@t209)) % 34.01/34.84 (step @p390 :rule implies_elim :premises (@p387)) % 34.01/34.84 (step @p391 :rule cnf_and_neg :args (@t246)) % 34.01/34.84 (step @p392 :rule resolution :premises (@p391 @p390) :args (true @t246)) % 34.01/34.84 (step @p393 :rule reordering :premises (@p392) :args ((or @t209 @t247 (not @t244)))) % 34.01/34.84 (step @p394 :rule chain_m_resolution :premises (@p393 @p331 @p373) :args (@t209 @t180 (@list @t220 @t244))) % 34.01/34.84 (step @p395 :rule chain_m_resolution :premises (@p320 @p394) :args (@t218 @t198 (@list @t209))) % 34.01/34.84 (step @p396 :rule refl :args (@t250)) % 34.01/34.84 (step @p397 :rule refl :args (@t251)) % 34.01/34.84 (step @p398 :rule refl :args (@t252)) % 34.01/34.84 (step @p399 :rule bool-double-not-elim :args (@t216)) % 34.01/34.84 (step @p400 :rule nary_cong :premises (@p399 @p398 @p397 @p396) :args ((or (not @t218) @t252 @t251 @t250))) % 34.01/34.84 (assume-push @p538 @t218) % 34.01/34.84 (assume-push @p539 @t241) % 34.01/34.84 (assume-push @p540 @t235) % 34.01/34.84 (assume-push @p541 @t218) % 34.01/34.84 (assume-push @p542 @t241) % 34.01/34.84 (assume-push @p543 @t235) % 34.01/34.84 (step @p407 :rule false_intro :premises (@p538)) % 34.01/34.84 (step @p408 :rule refl :args (tptp.sk3)) % 34.01/34.84 (step @p409 :rule symm :premises (@p369)) % 34.01/34.84 (step @p410 :rule refl :args (@t232)) % 34.01/34.84 (step @p411 :rule symm :premises (@p540)) % 34.01/34.84 (step @p412 :rule cong :premises (@p411 @p410) :args (@t248)) % 34.01/34.84 (step @p413 :rule trans :premises (@p412 @p409)) % 34.01/34.84 (step @p414 :rule cong :premises (@p413 @p408) :args (@t249)) % 34.01/34.84 (step @p415 :rule trans :premises (@p414 @p407)) % 34.01/34.84 (step @p416 :rule false_elim :premises (@p415)) % 34.01/34.84 (step-pop @p544 :rule scope :premises (@p416)) % 34.01/34.84 (step-pop @p545 :rule scope :premises (@p544)) % 34.01/34.84 (step-pop @p546 :rule scope :premises (@p545)) % 34.01/34.84 (step @p417 :rule process_scope :premises (@p546) :args (@t250)) % 34.01/34.84 (step @p421 :rule and_intro :premises (@p538 @p369 @p540)) % 34.01/34.84 (step @p422 :rule modus_ponens :premises (@p421 @p417)) % 34.01/34.84 (step-pop @p547 :rule scope :premises (@p422)) % 34.01/34.84 (step-pop @p548 :rule scope :premises (@p547)) % 34.01/34.84 (step-pop @p549 :rule scope :premises (@p548)) % 34.01/34.84 (step @p423 :rule process_scope :premises (@p549) :args (@t250)) % 34.01/34.84 (step @p427 :rule implies_elim :premises (@p423)) % 34.01/34.84 (step @p428 :rule cnf_and_neg :args (@t253)) % 34.01/34.84 (step @p429 :rule resolution :premises (@p428 @p427) :args (true @t253)) % 34.01/34.84 (step @p430 :rule eq_resolve :premises (@p429 @p400)) % 34.01/34.84 (step @p431 :rule chain_m_resolution :premises (@p430 @p395 @p369 @p355) :args (@t250 (@list true false false) (@list @t216 @t241 @t235))) % 34.01/34.84 (step @p432 :rule instantiate :premises (@p53) :args (@t233)) % 34.01/34.84 (step @p433 :rule instantiate :premises (@p84) :args (@t223)) % 34.01/34.84 (step @p434 :rule cnf_or_pos :args (@t255)) % 34.01/34.84 (step @p435 :rule reordering :premises (@p434) :args ((or @t229 @t228 @t254 (not @t255)))) % 34.01/34.84 (step @p436 :rule chain_m_resolution :premises (@p435 @p339 @p338 @p433) :args (@t254 @t193 (@list @t167 @t227 @t255))) % 34.01/34.84 (step @p437 :rule instantiate :premises (@p51) :args (@t238)) % 34.01/34.84 (step @p438 :rule cnf_or_pos :args (@t263)) % 34.01/34.84 (step @p439 :rule reordering :premises (@p438) :args ((or @t178 @t260 @t256 @t258 @t262 @t249 (not @t263)))) % 34.01/34.84 (step @p440 :rule chain_m_resolution :premises (@p439 @p185 @p437 @p436 @p432 @p431 @p343) :args (@t262 (@list false false false false true false) (@list @t160 @t259 @t254 @t257 @t249 @t263))) % 34.01/34.84 (step @p441 :rule instantiate :premises (@p169) :args ((@list tptp.sk3 tptp.sk3 @t222 tptp.nil))) % 34.01/34.84 (step @p442 :rule instantiate :premises (@p57) :args (@t176)) % 34.01/34.84 (step @p443 :rule cnf_or_pos :args (@t265)) % 34.01/34.84 (step @p444 :rule reordering :premises (@p443) :args ((or @t178 @t264 (not @t265)))) % 34.01/34.84 (step @p445 :rule chain_m_resolution :premises (@p444 @p185 @p442) :args (@t264 @t180 (@list @t160 @t265))) % 34.01/34.84 (step @p446 :rule cnf_or_pos :args (@t268)) % 34.01/34.84 (step @p447 :rule factoring :premises (@p446)) % 34.01/34.84 (step @p448 :rule reordering :premises (@p447) :args ((or @t191 @t178 @t267 @t228 @t266 (not @t268)))) % 34.01/34.84 (step @p449 :rule chain_m_resolution :premises (@p448 @p8 @p185 @p445 @p338 @p441) :args (@t266 (@list false false false false false) (@list @t2 @t160 @t264 @t227 @t268))) % 34.01/34.84 (step @p450 :rule refl :args (@t269)) % 34.01/34.84 (step @p451 :rule bool-double-not-elim :args (@t261)) % 34.01/34.84 (step @p452 :rule refl :args (@t270)) % 34.01/34.84 (step @p453 :rule refl :args (@t271)) % 34.01/34.84 (step @p454 :rule refl :args (@t272)) % 34.01/34.84 (step @p455 :rule refl :args (@t273)) % 34.01/34.84 (step @p456 :rule refl :args (@t247)) % 34.01/34.84 (step @p457 :rule nary_cong :premises (@p456 @p455 @p454 @p453 @p452 @p451 @p450) :args ((or @t247 @t273 @t272 @t271 @t270 (not @t262) @t269))) % 34.01/34.84 (assume-push @p550 @t266) % 34.01/34.84 (assume-push @p551 @t182) % 34.01/34.84 (assume-push @p552 @t177) % 34.01/34.84 (assume-push @p553 @t220) % 34.01/34.84 (assume-push @p554 @t202) % 34.01/34.84 (assume-push @p555 @t226) % 34.01/34.84 (assume-push @p556 @t262) % 34.01/34.84 (step @p465 :rule evaluate :args ((= false true))) % 34.01/34.84 (step @p466 :rule true_intro :premises (@p449)) % 34.01/34.84 (step @p408 :rule refl :args (tptp.sk3)) % 34.01/34.84 (step @p467 :rule refl :args (@t222)) % 34.01/34.84 (step @p468 :rule symm :premises (@p202)) % 34.01/34.84 (step @p469 :rule trans :premises (@p468 @p210)) % 34.01/34.84 (step @p470 :rule symm :premises (@p553)) % 34.01/34.84 (step @p471 :rule symm :premises (@p260)) % 34.01/34.84 (step @p472 :rule refl :args (tptp.sk5)) % 34.01/34.84 (step @p473 :rule cong :premises (@p472 @p471) :args ((tptp.cons tptp.sk5 @t186))) % 34.01/34.84 (step @p474 :rule trans :premises (@p473 @p470 @p202)) % 34.01/34.84 (step @p475 :rule symm :premises (@p473)) % 34.01/34.84 (step @p476 :rule trans :premises (@p475 @p474 @p469)) % 34.01/34.84 (step @p477 :rule cong :premises (@p476 @p467) :args (@t224)) % 34.01/34.84 (step @p478 :rule trans :premises (@p555 @p477)) % 34.01/34.84 (step @p479 :rule cong :premises (@p478 @p408) :args (@t261)) % 34.01/34.84 (step @p480 :rule false_intro :premises (@p556)) % 34.01/34.84 (step @p481 :rule symm :premises (@p480)) % 34.01/34.84 (step @p482 :rule trans :premises (@p481 @p479 @p466)) % 34.01/34.84 (step @p483 false :rule eq_resolve :premises (@p482 @p465)) % 34.01/34.84 (step-pop @p557 :rule scope :premises (@p483)) % 34.01/34.84 (step-pop @p558 :rule scope :premises (@p557)) % 34.01/34.84 (step-pop @p559 :rule scope :premises (@p558)) % 34.01/34.84 (step-pop @p560 :rule scope :premises (@p559)) % 34.01/34.84 (step-pop @p561 :rule scope :premises (@p560)) % 34.01/34.84 (step-pop @p562 :rule scope :premises (@p561)) % 34.01/34.84 (step-pop @p563 :rule scope :premises (@p562)) % 34.01/34.84 (step @p484 :rule process_scope :premises (@p563) :args (false)) % 34.01/34.84 (assume-push @p564 @t220) % 34.01/34.84 (assume-push @p565 @t177) % 34.01/34.84 (assume-push @p566 @t182) % 34.01/34.84 (assume-push @p567 @t202) % 34.01/34.85 (assume-push @p568 @t226) % 34.01/34.85 (assume-push @p569 @t262) % 34.01/34.85 (assume-push @p570 @t266) % 34.01/34.85 (step @p499 :rule and_intro :premises (@p449 @p210 @p202 @p564 @p260 @p568 @p569)) % 34.01/34.85 (step-pop @p571 :rule scope :premises (@p499)) % 34.01/34.85 (step-pop @p572 :rule scope :premises (@p571)) % 34.01/34.85 (step-pop @p573 :rule scope :premises (@p572)) % 34.01/34.85 (step-pop @p574 :rule scope :premises (@p573)) % 34.01/34.85 (step-pop @p575 :rule scope :premises (@p574)) % 34.01/34.85 (step-pop @p576 :rule scope :premises (@p575)) % 34.01/34.85 (step-pop @p577 :rule scope :premises (@p576)) % 34.01/34.85 (step @p500 :rule process_scope :premises (@p577) :args (@t274)) % 34.01/34.85 (step @p508 :rule implies_elim :premises (@p500)) % 34.01/34.85 (step @p509 :rule resolution :premises (@p508 @p484) :args (true @t274)) % 34.01/34.85 (step @p510 :rule not_and :premises (@p509)) % 34.01/34.85 (step @p511 :rule eq_resolve :premises (@p510 @p457)) % 34.01/34.85 (step @p512 :rule reordering :premises (@p511) :args ((or @t247 @t273 @t272 @t271 @t261 @t270 @t269))) % 34.01/34.85 (step @p513 false :rule chain_m_resolution :premises (@p512 @p449 @p440 @p342 @p331 @p260 @p210 @p202) :args (false (@list false true false false false false false) (@list @t266 @t261 @t226 @t220 @t202 @t182 @t177))) % 34.01/34.85 ) % 34.01/34.85 % SZS output end Proof % 34.01/34.85 % cvc5 exiting %------------------------------------------------------------------------------