%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC244-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:58:35 AM UTC 2026 % Result : Unsatisfiable 69.22s 69.42s % Output : Proof 69.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.13 % Problem : SWC244-1 : TPTP v9.2.1. Released v2.4.0. % 0.10/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n010.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:31:55 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.01/16.20 --- Run --no-e-matching --full-saturate-quant at 6... % 22.00/22.25 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.01/28.29 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.12/34.35 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.20/64.47 --- Run --trigger-sel=max --full-saturate-quant at 15... % 69.22/69.42 % SZS status Unsatisfiable % 69.22/69.42 % SZS output start Proof % 69.22/69.44 ( % 69.22/69.44 (declare-sort $$unsorted 0) % 69.22/69.44 (declare-const tptp.sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.sk4 $$unsorted) % 69.22/69.44 (declare-const tptp.sk2 $$unsorted) % 69.22/69.44 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.nil $$unsorted) % 69.22/69.44 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.sk1 $$unsorted) % 69.22/69.44 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.skac2 $$unsorted) % 69.22/69.44 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.sk3 $$unsorted) % 69.22/69.44 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.ssList (-> $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skac3 $$unsorted) % 69.22/69.44 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 69.22/69.44 (define @t1 () (tptp.ssList tptp.nil)) % 69.22/69.44 (define @t2 () (@var "U" $$unsorted)) % 69.22/69.44 (define @t3 () (tptp.skaf83 @t2)) % 69.22/69.44 (define @t4 () (@list @t2)) % 69.22/69.44 (define @t5 () (tptp.skaf82 @t2)) % 69.22/69.44 (define @t6 () (tptp.skaf81 @t2)) % 69.22/69.44 (define @t7 () (tptp.skaf80 @t2)) % 69.22/69.44 (define @t8 () (tptp.skaf79 @t2)) % 69.22/69.44 (define @t9 () (tptp.skaf78 @t2)) % 69.22/69.44 (define @t10 () (tptp.skaf77 @t2)) % 69.22/69.44 (define @t11 () (tptp.skaf76 @t2)) % 69.22/69.44 (define @t12 () (tptp.skaf75 @t2)) % 69.22/69.44 (define @t13 () (tptp.skaf74 @t2)) % 69.22/69.44 (define @t14 () (tptp.skaf73 @t2)) % 69.22/69.44 (define @t15 () (tptp.skaf72 @t2)) % 69.22/69.44 (define @t16 () (tptp.skaf71 @t2)) % 69.22/69.44 (define @t17 () (tptp.skaf70 @t2)) % 69.22/69.44 (define @t18 () (tptp.skaf69 @t2)) % 69.22/69.44 (define @t19 () (tptp.skaf68 @t2)) % 69.22/69.44 (define @t20 () (tptp.skaf67 @t2)) % 69.22/69.44 (define @t21 () (tptp.skaf66 @t2)) % 69.22/69.44 (define @t22 () (tptp.skaf65 @t2)) % 69.22/69.44 (define @t23 () (tptp.skaf64 @t2)) % 69.22/69.44 (define @t24 () (tptp.skaf63 @t2)) % 69.22/69.44 (define @t25 () (tptp.skaf62 @t2)) % 69.22/69.44 (define @t26 () (tptp.skaf61 @t2)) % 69.22/69.44 (define @t27 () (tptp.skaf60 @t2)) % 69.22/69.44 (define @t28 () (tptp.skaf59 @t2)) % 69.22/69.44 (define @t29 () (tptp.skaf58 @t2)) % 69.22/69.44 (define @t30 () (tptp.skaf57 @t2)) % 69.22/69.44 (define @t31 () (tptp.skaf56 @t2)) % 69.22/69.44 (define @t32 () (tptp.skaf55 @t2)) % 69.22/69.44 (define @t33 () (tptp.skaf54 @t2)) % 69.22/69.44 (define @t34 () (tptp.skaf53 @t2)) % 69.22/69.44 (define @t35 () (tptp.skaf52 @t2)) % 69.22/69.44 (define @t36 () (tptp.skaf51 @t2)) % 69.22/69.44 (define @t37 () (tptp.skaf50 @t2)) % 69.22/69.44 (define @t38 () (tptp.skaf49 @t2)) % 69.22/69.44 (define @t39 () (tptp.skaf44 @t2)) % 69.22/69.44 (define @t40 () (@var "V" $$unsorted)) % 69.22/69.44 (define @t41 () (@list @t2 @t40)) % 69.22/69.44 (define @t42 () (tptp.skaf47 @t2 @t40)) % 69.22/69.44 (define @t43 () (tptp.skaf46 @t2 @t40)) % 69.22/69.44 (define @t44 () (tptp.skaf45 @t2 @t40)) % 69.22/69.44 (define @t45 () (tptp.skaf42 @t2 @t40)) % 69.22/69.44 (define @t46 () (not (tptp.ssItem @t2))) % 69.22/69.44 (define @t47 () (not (tptp.ssList @t2))) % 69.22/69.44 (define @t48 () (tptp.cons @t2 tptp.nil)) % 69.22/69.44 (define @t49 () (tptp.ssItem @t40)) % 69.22/69.44 (define @t50 () (tptp.duplicatefreeP @t2)) % 69.22/69.44 (define @t51 () (tptp.app tptp.nil @t2)) % 69.22/69.44 (define @t52 () (or @t47 (= @t51 @t2))) % 69.22/69.44 (define @t53 () (forall @t4 @t52)) % 69.22/69.44 (define @t54 () (= tptp.nil @t2)) % 69.22/69.44 (define @t55 () (tptp.tl @t2)) % 69.22/69.44 (define @t56 () (tptp.hd @t2)) % 69.22/69.44 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 69.22/69.44 (define @t58 () (not @t54)) % 69.22/69.44 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 69.22/69.44 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 69.22/69.44 (define @t61 () (tptp.app @t40 @t2)) % 69.22/69.44 (define @t62 () (not (tptp.ssList @t40))) % 69.22/69.44 (define @t63 () (tptp.cons @t2 @t40)) % 69.22/69.44 (define @t64 () (tptp.cyclefreeP @t2)) % 69.22/69.44 (define @t65 () (tptp.equalelemsP @t2)) % 69.22/69.44 (define @t66 () (tptp.strictorderedP @t2)) % 69.22/69.44 (define @t67 () (tptp.totalorderedP @t2)) % 69.22/69.44 (define @t68 () (tptp.strictorderP @t2)) % 69.22/69.44 (define @t69 () (tptp.totalorderP @t2)) % 69.22/69.44 (define @t70 () (tptp.hd @t63)) % 69.22/69.44 (define @t71 () (or @t46 @t62 (= @t70 @t2))) % 69.22/69.44 (define @t72 () (forall @t41 @t71)) % 69.22/69.44 (define @t73 () (= @t40 @t2)) % 69.22/69.44 (define @t74 () (tptp.neq @t40 @t2)) % 69.22/69.44 (define @t75 () (not @t49)) % 69.22/69.44 (define @t76 () (tptp.leq @t2 @t40)) % 69.22/69.44 (define @t77 () (tptp.lt @t2 @t40)) % 69.22/69.44 (define @t78 () (not @t77)) % 69.22/69.44 (define @t79 () (tptp.lt @t40 @t2)) % 69.22/69.44 (define @t80 () (not (tptp.gt @t2 @t40))) % 69.22/69.44 (define @t81 () (tptp.gt @t40 @t2)) % 69.22/69.44 (define @t82 () (tptp.leq @t40 @t2)) % 69.22/69.44 (define @t83 () (not (tptp.geq @t2 @t40))) % 69.22/69.44 (define @t84 () (tptp.geq @t40 @t2)) % 69.22/69.44 (define @t85 () (not @t76)) % 69.22/69.44 (define @t86 () (tptp.cons @t3 @t5)) % 69.22/69.44 (define @t87 () (or @t47 (= @t86 @t2) @t54)) % 69.22/69.44 (define @t88 () (forall @t4 @t87)) % 69.22/69.44 (define @t89 () (= @t2 @t40)) % 69.22/69.44 (define @t90 () (not @t89)) % 69.22/69.44 (define @t91 () (tptp.cons @t40 @t2)) % 69.22/69.44 (define @t92 () (not (tptp.neq @t2 @t40))) % 69.22/69.44 (define @t93 () (tptp.app @t2 @t40)) % 69.22/69.44 (define @t94 () (= @t93 tptp.nil)) % 69.22/69.44 (define @t95 () (not @t94)) % 69.22/69.44 (define @t96 () (= tptp.nil @t40)) % 69.22/69.44 (define @t97 () (tptp.app @t48 @t40)) % 69.22/69.44 (define @t98 () (or @t46 @t62 (= @t97 @t63))) % 69.22/69.44 (define @t99 () (forall @t41 @t98)) % 69.22/69.44 (define @t100 () (tptp.hd @t40)) % 69.22/69.44 (define @t101 () (forall @t41 (or @t47 @t62 @t96 (= (tptp.hd @t61) @t100)))) % 69.22/69.44 (define @t102 () (tptp.strictorderedP @t40)) % 69.22/69.44 (define @t103 () (tptp.strictorderedP @t63)) % 69.22/69.44 (define @t104 () (not @t103)) % 69.22/69.44 (define @t105 () (tptp.totalorderedP @t40)) % 69.22/69.44 (define @t106 () (tptp.totalorderedP @t63)) % 69.22/69.44 (define @t107 () (not @t106)) % 69.22/69.44 (define @t108 () (not (tptp.segmentP @t2 @t40))) % 69.22/69.44 (define @t109 () (not (tptp.rearsegP @t40 @t2))) % 69.22/69.44 (define @t110 () (not (tptp.rearsegP @t2 @t40))) % 69.22/69.44 (define @t111 () (or @t110 @t109 @t47 @t62 @t73)) % 69.22/69.44 (define @t112 () (forall @t41 @t111)) % 69.22/69.44 (define @t113 () (not (tptp.frontsegP @t2 @t40))) % 69.22/69.44 (define @t114 () (not @t82)) % 69.22/69.44 (define @t115 () (tptp.app @t43 @t40)) % 69.22/69.44 (define @t116 () (or @t110 @t62 @t47 (= @t115 @t2))) % 69.22/69.44 (define @t117 () (forall @t41 @t116)) % 69.22/69.44 (define @t118 () (tptp.app @t40 @t44)) % 69.22/69.44 (define @t119 () (or @t113 @t62 @t47 (= @t118 @t2))) % 69.22/69.44 (define @t120 () (forall @t41 @t119)) % 69.22/69.44 (define @t121 () (tptp.tl @t40)) % 69.22/69.44 (define @t122 () (tptp.lt @t2 @t100)) % 69.22/69.44 (define @t123 () (tptp.leq @t2 @t100)) % 69.22/69.44 (define @t124 () (@var "W" $$unsorted)) % 69.22/69.44 (define @t125 () (tptp.app @t124 @t2)) % 69.22/69.44 (define @t126 () (not (tptp.ssList @t124))) % 69.22/69.44 (define @t127 () (@list @t2 @t40 @t124)) % 69.22/69.44 (define @t128 () (tptp.app @t2 @t124)) % 69.22/69.44 (define @t129 () (tptp.cons @t40 @t124)) % 69.22/69.44 (define @t130 () (tptp.cons @t124 @t2)) % 69.22/69.44 (define @t131 () (not (tptp.ssItem @t124))) % 69.22/69.44 (define @t132 () (not (tptp.memberP @t2 @t40))) % 69.22/69.44 (define @t133 () (tptp.rearsegP @t124 @t40)) % 69.22/69.44 (define @t134 () (not (= @t93 @t124))) % 69.22/69.44 (define @t135 () (or @t134 @t47 @t62 @t126 @t133)) % 69.22/69.44 (define @t136 () (forall @t127 @t135)) % 69.22/69.44 (define @t137 () (not @t96)) % 69.22/69.44 (define @t138 () (or @t58 @t137 @t62 @t47 @t94)) % 69.22/69.44 (define @t139 () (forall @t41 @t138)) % 69.22/69.44 (define @t140 () (tptp.lt @t2 @t124)) % 69.22/69.44 (define @t141 () (not (tptp.lt @t40 @t124))) % 69.22/69.44 (define @t142 () (tptp.app @t124 @t40)) % 69.22/69.44 (define @t143 () (= @t40 @t124)) % 69.22/69.44 (define @t144 () (= @t2 @t124)) % 69.22/69.44 (define @t145 () (forall @t127 (or (not (= @t93 @t142)) @t47 @t62 @t126 @t144))) % 69.22/69.44 (define @t146 () (tptp.memberP @t40 @t124)) % 69.22/69.44 (define @t147 () (@var "X" $$unsorted)) % 69.22/69.44 (define @t148 () (not (tptp.ssList @t147))) % 69.22/69.44 (define @t149 () (tptp.cons @t124 @t147)) % 69.22/69.44 (define @t150 () (not (= @t63 @t149))) % 69.22/69.44 (define @t151 () (@list @t2 @t40 @t124 @t147)) % 69.22/69.44 (define @t152 () (not (tptp.frontsegP @t63 @t149))) % 69.22/69.44 (define @t153 () (tptp.app @t2 @t129)) % 69.22/69.44 (define @t154 () (not (tptp.ssItem @t147))) % 69.22/69.44 (define @t155 () (@var "Y" $$unsorted)) % 69.22/69.44 (define @t156 () (not (tptp.ssList @t155))) % 69.22/69.44 (define @t157 () (@list @t2 @t40 @t124 @t147 @t155)) % 69.22/69.44 (define @t158 () (tptp.lt @t40 @t147)) % 69.22/69.44 (define @t159 () (@var "Z" $$unsorted)) % 69.22/69.44 (define @t160 () (not (tptp.ssList @t159))) % 69.22/69.44 (define @t161 () (not (= (tptp.app @t153 (tptp.cons @t147 @t155)) @t159))) % 69.22/69.44 (define @t162 () (@list @t2 @t40 @t124 @t147 @t155 @t159)) % 69.22/69.44 (define @t163 () (tptp.leq @t40 @t147)) % 69.22/69.44 (define @t164 () (tptp.ssList tptp.sk3)) % 69.22/69.44 (define @t165 () (tptp.ssList tptp.sk4)) % 69.22/69.44 (define @t166 () (tptp.frontsegP tptp.sk4 tptp.sk3)) % 69.22/69.44 (define @t167 () (= tptp.nil tptp.sk1)) % 69.22/69.44 (define @t168 () (not @t167)) % 69.22/69.44 (define @t169 () (@var "A" $$unsorted)) % 69.22/69.44 (define @t170 () (@var "B" $$unsorted)) % 69.22/69.44 (define @t171 () (@var "C" $$unsorted)) % 69.22/69.44 (define @t172 () (tptp.sk5 @t171 @t170 @t169)) % 69.22/69.44 (define @t173 () (tptp.ssItem @t172)) % 69.22/69.44 (define @t174 () (tptp.app (tptp.app @t170 (tptp.cons @t169 tptp.nil)) @t171)) % 69.22/69.44 (define @t175 () (not (= @t174 tptp.sk1))) % 69.22/69.44 (define @t176 () (not (tptp.ssList @t171))) % 69.22/69.44 (define @t177 () (not (tptp.ssList @t170))) % 69.22/69.44 (define @t178 () (not (tptp.ssItem @t169))) % 69.22/69.44 (define @t179 () (or @t178 @t177 @t176 @t175 @t173)) % 69.22/69.44 (define @t180 () (@list @t169 @t170 @t171)) % 69.22/69.44 (define @t181 () (forall @t180 @t179)) % 69.22/69.44 (define @t182 () (tptp.memberP @t170 @t172)) % 69.22/69.44 (define @t183 () (or @t178 @t177 @t176 @t175 @t182)) % 69.22/69.44 (define @t184 () (forall @t180 @t183)) % 69.22/69.44 (define @t185 () (tptp.skaf46 tptp.sk3 tptp.sk3)) % 69.22/69.44 (define @t186 () (@list tptp.sk3 tptp.sk3)) % 69.22/69.44 (define @t187 () (@list tptp.sk3)) % 69.22/69.44 (define @t188 () (tptp.rearsegP tptp.sk3 tptp.sk3)) % 69.22/69.44 (define @t189 () (not @t164)) % 69.22/69.44 (define @t190 () (or @t189 @t188)) % 69.22/69.44 (define @t191 () (@list false false)) % 69.22/69.44 (define @t192 () (tptp.app @t185 tptp.sk3)) % 69.22/69.44 (define @t193 () (= tptp.sk3 @t192)) % 69.22/69.44 (define @t194 () (not @t188)) % 69.22/69.44 (define @t195 () (or @t194 @t189 @t189 @t193)) % 69.22/69.44 (define @t196 () (@list false false false)) % 69.22/69.44 (define @t197 () (tptp.app tptp.nil tptp.sk3)) % 69.22/69.44 (define @t198 () (= tptp.sk3 @t197)) % 69.22/69.44 (define @t199 () (or @t189 @t198)) % 69.22/69.44 (define @t200 () (= tptp.nil @t185)) % 69.22/69.44 (define @t201 () (tptp.ssList @t185)) % 69.22/69.44 (define @t202 () (not @t201)) % 69.22/69.44 (define @t203 () (not @t1)) % 69.22/69.44 (define @t204 () (= @t197 @t192)) % 69.22/69.44 (define @t205 () (not @t204)) % 69.22/69.44 (define @t206 () (or @t205 @t203 @t189 @t202 @t200)) % 69.22/69.44 (define @t207 () (@list false false false false false)) % 69.22/69.44 (define @t208 () (= tptp.sk1 @t174)) % 69.22/69.44 (define @t209 () (not @t208)) % 69.22/69.44 (define @t210 () (or @t178 @t177 @t176 @t209 @t182)) % 69.22/69.44 (define @t211 () (tptp.skaf82 tptp.sk3)) % 69.22/69.44 (define @t212 () (tptp.skaf83 tptp.sk4)) % 69.22/69.44 (define @t213 () (@list @t212 @t185 @t211)) % 69.22/69.44 (define @t214 () (tptp.hd tptp.sk4)) % 69.22/69.44 (define @t215 () (tptp.cons @t214 tptp.nil)) % 69.22/69.44 (define @t216 () (tptp.hd tptp.sk3)) % 69.22/69.44 (define @t217 () (= tptp.nil tptp.sk3)) % 69.22/69.44 (define @t218 () (tptp.ssItem @t216)) % 69.22/69.44 (define @t219 () (or @t189 @t218 @t217)) % 69.22/69.44 (define @t220 () (@list true false false)) % 69.22/69.44 (define @t221 () (tptp.cons @t216 tptp.nil)) % 69.22/69.44 (define @t222 () (tptp.ssList @t221)) % 69.22/69.44 (define @t223 () (not @t218)) % 69.22/69.44 (define @t224 () (or @t223 @t203 @t222)) % 69.22/69.44 (define @t225 () (tptp.skaf83 tptp.sk3)) % 69.22/69.44 (define @t226 () (tptp.cons @t225 @t211)) % 69.22/69.44 (define @t227 () (= tptp.sk3 @t226)) % 69.22/69.44 (define @t228 () (or @t189 @t227 @t217)) % 69.22/69.44 (define @t229 () (tptp.hd @t226)) % 69.22/69.44 (define @t230 () (@list @t225 @t211)) % 69.22/69.44 (define @t231 () (= @t225 @t229)) % 69.22/69.44 (define @t232 () (tptp.ssList @t211)) % 69.22/69.44 (define @t233 () (not @t232)) % 69.22/69.44 (define @t234 () (tptp.ssItem @t225)) % 69.22/69.44 (define @t235 () (not @t234)) % 69.22/69.44 (define @t236 () (or @t235 @t233 @t231)) % 69.22/69.44 (define @t237 () (tptp.cons @t225 tptp.nil)) % 69.22/69.44 (define @t238 () (tptp.skaf45 tptp.sk4 tptp.sk3)) % 69.22/69.44 (define @t239 () (tptp.app tptp.sk3 @t238)) % 69.22/69.44 (define @t240 () (tptp.hd @t239)) % 69.22/69.44 (define @t241 () (tptp.ssList @t238)) % 69.22/69.44 (define @t242 () (not @t241)) % 69.22/69.44 (define @t243 () (or @t242 @t189 @t217 (= @t240 @t216))) % 69.22/69.44 (define @t244 () (= @t216 @t240)) % 69.22/69.44 (define @t245 () (or @t242 @t189 @t217 @t244)) % 69.22/69.44 (define @t246 () (@list false)) % 69.22/69.44 (define @t247 () (@list tptp.sk4 tptp.sk3)) % 69.22/69.44 (define @t248 () (= tptp.sk4 @t239)) % 69.22/69.44 (define @t249 () (not @t165)) % 69.22/69.44 (define @t250 () (not @t166)) % 69.22/69.44 (define @t251 () (or @t250 @t189 @t249 @t248)) % 69.22/69.44 (define @t252 () (@list false false false false)) % 69.22/69.44 (define @t253 () (tptp.ssList @t215)) % 69.22/69.44 (define @t254 () (tptp.app tptp.nil @t215)) % 69.22/69.44 (define @t255 () (= @t215 @t254)) % 69.22/69.44 (define @t256 () (not @t253)) % 69.22/69.44 (define @t257 () (or @t256 @t255)) % 69.22/69.44 (define @t258 () (tptp.app @t237 @t211)) % 69.22/69.44 (define @t259 () (= @t226 @t258)) % 69.22/69.44 (define @t260 () (or @t235 @t233 @t259)) % 69.22/69.44 (define @t261 () (tptp.skaf82 tptp.sk4)) % 69.22/69.44 (define @t262 () (@list tptp.sk4)) % 69.22/69.44 (define @t263 () (tptp.cons @t212 @t261)) % 69.22/69.44 (define @t264 () (= @t212 (tptp.hd @t263))) % 69.22/69.44 (define @t265 () (tptp.ssList @t261)) % 69.22/69.44 (define @t266 () (not @t265)) % 69.22/69.44 (define @t267 () (tptp.ssItem @t212)) % 69.22/69.44 (define @t268 () (not @t267)) % 69.22/69.44 (define @t269 () (or @t268 @t266 @t264)) % 69.22/69.44 (define @t270 () (@list @t238)) % 69.22/69.44 (define @t271 () (tptp.rearsegP @t238 tptp.nil)) % 69.22/69.44 (define @t272 () (or @t242 @t271)) % 69.22/69.44 (define @t273 () (tptp.ssList @t239)) % 69.22/69.44 (define @t274 () (not @t273)) % 69.22/69.44 (define @t275 () (tptp.rearsegP @t238 @t239)) % 69.22/69.44 (define @t276 () (not @t275)) % 69.22/69.44 (define @t277 () (tptp.rearsegP @t239 @t238)) % 69.22/69.44 (define @t278 () (not @t277)) % 69.22/69.44 (define @t279 () (= @t239 @t238)) % 69.22/69.44 (define @t280 () (or @t278 @t276 @t274 @t242 @t279)) % 69.22/69.44 (define @t281 () (forall @t41 (or @t110 @t109 @t47 @t62 @t89))) % 69.22/69.44 (define @t282 () (= @t238 @t239)) % 69.22/69.44 (define @t283 () (or @t278 @t276 @t274 @t242 @t282)) % 69.22/69.44 (define @t284 () (tptp.app tptp.nil @t238)) % 69.22/69.44 (define @t285 () (not (= @t284 @t239))) % 69.22/69.44 (define @t286 () (or @t285 @t203 @t242 @t189 @t217)) % 69.22/69.44 (define @t287 () (not (= @t239 @t284))) % 69.22/69.44 (define @t288 () (or @t287 @t203 @t242 @t189 @t217)) % 69.22/69.44 (define @t289 () (= @t238 @t284)) % 69.22/69.44 (define @t290 () (or @t242 @t289)) % 69.22/69.44 (define @t291 () (tptp.rearsegP @t93 @t40)) % 69.22/69.44 (define @t292 () (not (tptp.ssList @t93))) % 69.22/69.44 (define @t293 () (not (= @t93 @t93))) % 69.22/69.44 (define @t294 () (or @t293 @t47 @t62 @t292 @t291)) % 69.22/69.44 (define @t295 () (@list @t124)) % 69.22/69.44 (define @t296 () (or @t134 @t134 @t47 @t62 @t126 @t133)) % 69.22/69.44 (define @t297 () (forall @t295 @t135)) % 69.22/69.44 (define @t298 () (forall @t41 @t297)) % 69.22/69.44 (define @t299 () (or @t189 @t242 @t274 @t277)) % 69.22/69.44 (define @t300 () (not @t271)) % 69.22/69.44 (define @t301 () (not @t248)) % 69.22/69.44 (define @t302 () (= tptp.nil tptp.sk4)) % 69.22/69.44 (define @t303 () (not @t302)) % 69.22/69.44 (define @t304 () (= true false)) % 69.22/69.44 (define @t305 () (and @t276 @t248 @t271 @t302)) % 69.22/69.44 (define @t306 () (@list false true false)) % 69.22/69.44 (define @t307 () (= tptp.sk4 @t263)) % 69.22/69.44 (define @t308 () (or @t249 @t307 @t302)) % 69.22/69.44 (define @t309 () (tptp.app tptp.nil tptp.nil)) % 69.22/69.44 (define @t310 () (= tptp.nil @t309)) % 69.22/69.44 (define @t311 () (or @t203 @t310)) % 69.22/69.44 (define @t312 () (not (= tptp.nil tptp.nil))) % 69.22/69.44 (define @t313 () (or @t312 @t203 @t310)) % 69.22/69.44 (define @t314 () (= tptp.nil (tptp.app tptp.nil @t40))) % 69.22/69.44 (define @t315 () (@list @t40)) % 69.22/69.44 (define @t316 () (or @t137 @t137 @t62 @t314)) % 69.22/69.44 (define @t317 () (or @t137 @t62 @t314)) % 69.22/69.44 (define @t318 () (forall @t315 @t317)) % 69.22/69.44 (define @t319 () (or @t203 @t318)) % 69.22/69.44 (define @t320 () (or @t203 @t317)) % 69.22/69.44 (define @t321 () (or @t137 @t62 @t203 @t314)) % 69.22/69.44 (define @t322 () (or @t312 @t137 @t62 @t203 @t314)) % 69.22/69.44 (define @t323 () (= tptp.nil @t93)) % 69.22/69.44 (define @t324 () (or @t58 @t58 @t137 @t62 @t47 @t323)) % 69.22/69.44 (define @t325 () (or @t58 @t137 @t62 @t47 @t323)) % 69.22/69.44 (define @t326 () (forall @t4 @t325)) % 69.22/69.44 (define @t327 () (forall @t315 @t326)) % 69.22/69.44 (define @t328 () (forall (@list @t40 @t2) @t325)) % 69.22/69.44 (define @t329 () (= tptp.sk3 (tptp.app (tptp.app @t185 (tptp.cons @t212 tptp.nil)) @t211))) % 69.22/69.44 (define @t330 () (and @t310 @t227 @t307 @t248 @t264 @t231 @t259 @t244 @t255 @t200)) % 69.22/69.44 (define @t331 () (tptp.sk5 @t211 @t185 @t212)) % 69.22/69.44 (define @t332 () (tptp.memberP @t185 @t331)) % 69.22/69.44 (define @t333 () (not @t329)) % 69.22/69.44 (define @t334 () (or @t268 @t202 @t233 @t333 @t332)) % 69.22/69.44 (define @t335 () (or @t178 @t177 @t176 @t209 @t173)) % 69.22/69.44 (define @t336 () (tptp.ssItem @t331)) % 69.22/69.44 (define @t337 () (or @t268 @t202 @t233 @t333 @t336)) % 69.22/69.44 (define @t338 () (not @t336)) % 69.22/69.44 (define @t339 () (tptp.memberP tptp.nil @t331)) % 69.22/69.44 (define @t340 () (not @t339)) % 69.22/69.44 (define @t341 () (or @t340 @t338)) % 69.22/69.44 (define @t342 () (not @t332)) % 69.22/69.44 (define @t343 () (not @t200)) % 69.22/69.44 (define @t344 () (and @t340 @t200 @t332)) % 69.22/69.44 (assume @p1 (tptp.equalelemsP tptp.nil)) % 69.22/69.44 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 69.22/69.44 (assume @p3 (tptp.strictorderedP tptp.nil)) % 69.22/69.44 (assume @p4 (tptp.totalorderedP tptp.nil)) % 69.22/69.44 (assume @p5 (tptp.strictorderP tptp.nil)) % 69.22/69.44 (assume @p6 (tptp.totalorderP tptp.nil)) % 69.22/69.44 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 69.22/69.44 (assume @p8 @t1) % 69.22/69.44 (assume @p9 (tptp.ssItem tptp.skac3)) % 69.22/69.44 (assume @p10 (tptp.ssItem tptp.skac2)) % 69.22/69.44 (assume @p11 (not (tptp.singletonP tptp.nil))) % 69.22/69.44 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 69.22/69.44 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 69.22/69.44 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 69.22/69.44 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 69.22/69.44 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 69.22/69.44 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 69.22/69.44 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 69.22/69.44 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 69.22/69.44 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 69.22/69.44 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 69.22/69.44 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 69.22/69.44 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 69.22/69.44 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 69.22/69.44 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 69.22/69.44 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 69.22/69.44 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 69.22/69.44 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 69.22/69.44 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 69.22/69.44 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 69.22/69.44 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 69.22/69.44 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 69.22/69.44 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 69.22/69.44 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 69.22/69.44 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 69.22/69.44 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 69.22/69.44 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 69.22/69.44 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 69.22/69.44 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 69.22/69.44 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 69.22/69.44 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 69.22/69.44 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 69.22/69.44 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 69.22/69.44 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 69.22/69.44 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 69.22/69.44 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 69.22/69.44 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 69.22/69.44 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 69.22/69.44 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 69.22/69.44 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 69.22/69.44 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 69.22/69.44 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 69.22/69.44 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 69.22/69.44 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 69.22/69.44 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 69.22/69.44 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 69.22/69.44 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 69.22/69.44 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 69.22/69.44 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 69.22/69.44 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 69.22/69.44 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 69.22/69.44 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 69.22/69.44 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 69.22/69.44 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 69.22/69.44 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 69.22/69.44 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 69.22/69.44 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 69.22/69.44 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 69.22/69.44 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 69.22/69.44 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 69.22/69.44 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 69.22/69.44 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 69.22/69.44 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 69.22/69.44 (assume @p74 @t53) % 69.22/69.44 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 69.22/69.44 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 69.22/69.44 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 69.22/69.44 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 69.22/69.44 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 69.22/69.44 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 69.22/69.44 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 69.22/69.44 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 69.22/69.44 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 69.22/69.44 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 69.22/69.44 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 69.22/69.44 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 69.22/69.44 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 69.22/69.44 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 69.22/69.44 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 69.22/69.44 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 69.22/69.44 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 69.22/69.44 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 69.22/69.44 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 69.22/69.44 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 69.22/69.44 (assume @p95 @t72) % 69.22/69.44 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 69.22/69.44 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 69.22/69.44 (assume @p98 (forall @t41 (or @t47 @t62 @t74 @t73))) % 69.22/69.44 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 69.22/69.44 (assume @p100 (forall @t41 (or @t46 @t75 @t74 @t73))) % 69.22/69.44 (assume @p101 (forall @t41 (or @t78 @t75 @t46 @t76))) % 69.22/69.44 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 69.22/69.44 (assume @p103 (forall @t41 (or @t80 @t75 @t46 @t79))) % 69.22/69.44 (assume @p104 (forall @t41 (or @t78 @t46 @t75 @t81))) % 69.22/69.44 (assume @p105 (forall @t41 (or @t83 @t75 @t46 @t82))) % 69.22/69.44 (assume @p106 (forall @t41 (or @t85 @t46 @t75 @t84))) % 69.22/69.44 (assume @p107 @t88) % 69.22/69.44 (assume @p108 (forall @t41 (or @t80 (not @t81) @t46 @t75))) % 69.22/69.44 (assume @p109 (forall @t41 (or @t90 @t78 @t75 @t46))) % 69.22/69.44 (assume @p110 (forall @t41 (or @t58 @t47 @t75 (tptp.strictorderedP @t91)))) % 69.22/69.44 (assume @p111 (forall @t41 (or @t58 @t47 @t75 (tptp.totalorderedP @t91)))) % 69.22/69.44 (assume @p112 (forall @t41 (or @t78 (not @t79) @t46 @t75))) % 69.22/69.44 (assume @p113 (forall @t41 (or @t90 @t92 @t62 @t47))) % 69.22/69.44 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 69.22/69.44 (assume @p115 (forall @t41 (or @t90 @t92 @t75 @t46))) % 69.22/69.44 (assume @p116 (forall @t41 (or @t95 @t62 @t47 @t54))) % 69.22/69.44 (assume @p117 (forall @t41 (or @t95 @t62 @t47 @t96))) % 69.22/69.44 (assume @p118 @t99) % 69.22/69.44 (assume @p119 (forall @t41 (or @t85 @t75 @t46 @t77 @t89))) % 69.22/69.44 (assume @p120 @t101) % 69.22/69.44 (assume @p121 (forall @t41 (or @t104 @t62 @t46 @t102 @t96))) % 69.22/69.44 (assume @p122 (forall @t41 (or @t107 @t62 @t46 @t105 @t96))) % 69.22/69.44 (assume @p123 (forall @t41 (or @t83 (not @t84) @t46 @t75 @t73))) % 69.22/69.44 (assume @p124 (forall @t41 (or @t108 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t73))) % 69.22/69.44 (assume @p125 @t112) % 69.22/69.44 (assume @p126 (forall @t41 (or @t113 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t73))) % 69.22/69.44 (assume @p127 (forall @t41 (or @t85 @t114 @t46 @t75 @t73))) % 69.22/69.44 (assume @p128 @t117) % 69.22/69.44 (assume @p129 @t120) % 69.22/69.44 (assume @p130 (forall @t41 (or @t47 @t62 @t96 (= (tptp.tl @t61) (tptp.app @t121 @t2))))) % 69.22/69.44 (assume @p131 (forall @t41 (or @t104 @t62 @t46 @t122 @t96))) % 69.22/69.44 (assume @p132 (forall @t41 (or @t107 @t62 @t46 @t123 @t96))) % 69.22/69.44 (assume @p133 (forall @t127 (or @t110 @t126 @t62 @t47 (tptp.rearsegP @t125 @t40)))) % 69.22/69.44 (assume @p134 (forall @t127 (or @t113 @t126 @t62 @t47 (tptp.frontsegP @t128 @t40)))) % 69.22/69.44 (assume @p135 (forall @t127 (or @t90 @t126 @t75 @t46 (tptp.memberP @t129 @t2)))) % 69.22/69.44 (assume @p136 (forall @t127 (or @t132 @t47 @t131 @t75 (tptp.memberP @t130 @t40)))) % 69.22/69.44 (assume @p137 (forall @t127 (or @t132 @t126 @t47 @t75 (tptp.memberP @t128 @t40)))) % 69.22/69.44 (assume @p138 (forall @t127 (or @t132 @t47 @t126 @t75 (tptp.memberP @t125 @t40)))) % 69.22/69.44 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 69.22/69.44 (assume @p140 @t136) % 69.22/69.44 (assume @p141 (forall @t127 (or @t134 @t62 @t47 @t126 (tptp.frontsegP @t124 @t2)))) % 69.22/69.44 (assume @p142 @t139) % 69.22/69.44 (assume @p143 (forall @t127 (or @t80 (not (tptp.gt @t40 @t124)) @t131 @t75 @t46 (tptp.gt @t2 @t124)))) % 69.22/69.44 (assume @p144 (forall @t127 (or @t85 @t141 @t131 @t75 @t46 @t140))) % 69.22/69.44 (assume @p145 (forall @t127 (or @t83 (not (tptp.geq @t40 @t124)) @t131 @t75 @t46 (tptp.geq @t2 @t124)))) % 69.22/69.44 (assume @p146 (forall @t127 (or @t47 @t62 @t126 (= (tptp.app @t142 @t2) (tptp.app @t124 @t61))))) % 69.22/69.44 (assume @p147 (forall @t127 (or (not (= @t93 @t128)) @t62 @t47 @t126 @t143))) % 69.22/69.44 (assume @p148 @t145) % 69.22/69.44 (assume @p149 (forall @t127 (or @t108 (not (tptp.segmentP @t40 @t124)) @t126 @t62 @t47 (tptp.segmentP @t2 @t124)))) % 69.22/69.44 (assume @p150 (forall @t127 (or @t110 (not (tptp.rearsegP @t40 @t124)) @t126 @t62 @t47 (tptp.rearsegP @t2 @t124)))) % 69.22/69.44 (assume @p151 (forall @t127 (or @t113 (not (tptp.frontsegP @t40 @t124)) @t126 @t62 @t47 (tptp.frontsegP @t2 @t124)))) % 69.22/69.44 (assume @p152 (forall @t127 (or @t78 @t141 @t131 @t75 @t46 @t140))) % 69.22/69.44 (assume @p153 (forall @t127 (or @t85 (not (tptp.leq @t40 @t124)) @t131 @t75 @t46 (tptp.leq @t2 @t124)))) % 69.22/69.44 (assume @p154 (forall @t127 (or @t46 @t62 @t126 (= (tptp.cons @t2 (tptp.app @t40 @t124)) (tptp.app @t63 @t124))))) % 69.22/69.44 (assume @p155 (forall @t127 (or (not (tptp.memberP @t93 @t124)) @t62 @t47 @t131 @t146 (tptp.memberP @t2 @t124)))) % 69.22/69.44 (assume @p156 (forall @t41 (or (not @t123) (not @t105) @t62 @t46 @t106 @t96))) % 69.22/69.44 (assume @p157 (forall @t41 (or (not @t122) (not @t102) @t62 @t46 @t103 @t96))) % 69.22/69.44 (assume @p158 (forall @t127 (or (not (tptp.memberP @t63 @t124)) @t62 @t46 @t131 @t146 (= @t124 @t2)))) % 69.22/69.44 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 69.22/69.44 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 69.22/69.44 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 69.22/69.44 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 69.22/69.44 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 69.22/69.44 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 69.22/69.44 (assume @p165 (forall @t41 (or @t108 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 69.22/69.44 (assume @p166 (forall @t41 (or @t132 @t75 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 69.22/69.44 (assume @p167 (forall @t151 (or @t150 @t131 @t46 @t148 @t62 @t144))) % 69.22/69.44 (assume @p168 (forall @t151 (or @t150 @t131 @t46 @t148 @t62 (= @t147 @t40)))) % 69.22/69.44 (assume @p169 (forall @t151 (or @t108 @t126 @t148 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t147 @t2) @t124) @t40)))) % 69.22/69.44 (assume @p170 (forall @t151 (or (not (= (tptp.app @t93 @t124) @t147)) @t126 @t47 @t62 @t148 (tptp.segmentP @t147 @t40)))) % 69.22/69.44 (assume @p171 (forall @t151 (or @t152 @t148 @t62 @t131 @t46 (tptp.frontsegP @t40 @t147)))) % 69.22/69.44 (assume @p172 (forall @t151 (or (not (= @t153 @t147)) @t126 @t47 @t75 @t148 (tptp.memberP @t147 @t40)))) % 69.22/69.44 (assume @p173 (forall @t151 (or @t152 @t148 @t62 @t131 @t46 @t144))) % 69.22/69.44 (assume @p174 (forall @t41 (or (not (= @t55 @t121)) (not (= @t56 @t100)) @t47 @t62 @t96 @t89 @t54))) % 69.22/69.44 (assume @p175 (forall @t151 (or @t113 (not (= @t124 @t147)) @t62 @t47 @t154 @t131 (tptp.frontsegP @t130 (tptp.cons @t147 @t40))))) % 69.22/69.44 (assume @p176 (forall @t157 (or (not (= (tptp.app @t153 (tptp.cons @t40 @t147)) @t155)) @t148 @t126 @t47 @t75 (not (tptp.duplicatefreeP @t155)) @t156))) % 69.22/69.44 (assume @p177 (forall @t157 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t149)) @t155)) @t148 @t47 @t131 @t75 (not (tptp.equalelemsP @t155)) @t156 @t143))) % 69.22/69.44 (assume @p178 (forall @t162 (or @t161 @t156 @t126 @t47 @t154 @t75 (not (tptp.strictorderedP @t159)) @t160 @t158))) % 69.22/69.44 (assume @p179 (forall @t162 (or @t161 @t156 @t126 @t47 @t154 @t75 (not (tptp.totalorderedP @t159)) @t160 @t163))) % 69.22/69.44 (assume @p180 (forall @t162 (or @t161 @t156 @t126 @t47 @t154 @t75 (not (tptp.strictorderP @t159)) @t160 @t158 (tptp.lt @t147 @t40)))) % 69.22/69.44 (assume @p181 (forall @t162 (or @t161 @t156 @t126 @t47 @t154 @t75 (not (tptp.totalorderP @t159)) @t160 @t163 (tptp.leq @t147 @t40)))) % 69.22/69.44 (assume @p182 (forall @t162 (or @t85 @t114 (not (= (tptp.app (tptp.app @t124 (tptp.cons @t2 @t147)) (tptp.cons @t40 @t155)) @t159)) @t156 @t148 @t126 @t75 @t46 (not (tptp.cyclefreeP @t159)) @t160))) % 69.22/69.44 (assume @p183 (tptp.ssList tptp.sk1)) % 69.22/69.44 (assume @p184 (tptp.ssList tptp.sk2)) % 69.22/69.44 (assume @p185 @t164) % 69.22/69.44 (assume @p186 @t165) % 69.22/69.44 (assume @p187 (= tptp.sk2 tptp.sk4)) % 69.22/69.44 (assume @p188 (= tptp.sk1 tptp.sk3)) % 69.22/69.44 (assume @p189 @t166) % 69.22/69.44 (assume @p190 (tptp.equalelemsP tptp.sk3)) % 69.22/69.44 (assume @p191 @t168) % 69.22/69.44 (assume @p192 (forall (@list @t169) (or (not (tptp.ssList @t169)) (not (tptp.neq tptp.sk3 @t169)) (not (tptp.frontsegP tptp.sk4 @t169)) (not (tptp.segmentP @t169 tptp.sk3)) (not (tptp.equalelemsP @t169))))) % 69.22/69.44 (assume @p193 @t181) % 69.22/69.44 (assume @p194 @t184) % 69.22/69.44 (assume @p195 (forall @t180 (or @t178 @t177 @t176 @t175 (tptp.memberP @t171 @t172)))) % 69.22/69.44 (assume @p196 (forall @t180 (or @t178 @t177 @t176 @t175 (tptp.lt @t169 @t172)))) % 69.22/69.44 (assume @p197 (forall @t180 (or @t178 @t177 @t176 @t175 (not (tptp.leq @t169 @t172))))) % 69.22/69.44 (step @p198 :rule instantiate :premises (@p148) :args ((@list tptp.nil tptp.sk3 @t185))) % 69.22/69.44 (step @p199 :rule eq-symm :args (@t115 @t2)) % 69.22/69.44 (step @p200 :rule refl :args (@t47)) % 69.22/69.44 (step @p201 :rule refl :args (@t62)) % 69.22/69.44 (step @p202 :rule refl :args (@t110)) % 69.22/69.44 (step @p203 :rule nary_cong :premises (@p202 @p201 @p200 @p199) :args (@t116)) % 69.22/69.44 (step @p204 :rule cong :premises (@p203) :args (@t117)) % 69.22/69.44 (step @p205 :rule eq_resolve :premises (@p128 @p204)) % 69.22/69.44 (step @p206 :rule instantiate :premises (@p205) :args (@t186)) % 69.22/69.44 (step @p207 :rule instantiate :premises (@p59) :args (@t187)) % 69.22/69.44 (step @p208 :rule cnf_or_pos :args (@t190)) % 69.22/69.44 (step @p209 :rule reordering :premises (@p208) :args ((or @t189 @t188 (not @t190)))) % 69.22/69.44 (step @p210 :rule chain_m_resolution :premises (@p209 @p185 @p207) :args (@t188 @t191 (@list @t164 @t190))) % 69.22/69.44 (step @p211 :rule cnf_or_pos :args (@t195)) % 69.22/69.44 (step @p212 :rule factoring :premises (@p211)) % 69.22/69.44 (step @p213 :rule reordering :premises (@p212) :args ((or @t189 @t194 @t193 (not @t195)))) % 69.22/69.44 (step @p214 :rule chain_m_resolution :premises (@p213 @p185 @p210 @p206) :args (@t193 @t196 (@list @t164 @t188 @t195))) % 69.22/69.44 (step @p215 :rule eq-symm :args (@t51 @t2)) % 69.22/69.44 (step @p216 :rule nary_cong :premises (@p200 @p215) :args (@t52)) % 69.22/69.44 (step @p217 :rule cong :premises (@p216) :args (@t53)) % 69.22/69.44 (step @p218 :rule eq_resolve :premises (@p74 @p217)) % 69.22/69.44 (step @p219 :rule instantiate :premises (@p218) :args (@t187)) % 69.22/69.44 (step @p220 :rule cnf_or_pos :args (@t199)) % 69.22/69.44 (step @p221 :rule reordering :premises (@p220) :args ((or @t189 @t198 (not @t199)))) % 69.22/69.44 (step @p222 :rule chain_m_resolution :premises (@p221 @p185 @p219) :args (@t198 @t191 (@list @t164 @t199))) % 69.22/69.44 (step @p223 :rule symm :premises (@p222)) % 69.22/69.44 (step @p224 :rule trans :premises (@p223 @p214)) % 69.22/69.44 (step @p225 :rule instantiate :premises (@p50) :args (@t186)) % 69.22/69.44 (step @p226 :rule cnf_or_pos :args (@t206)) % 69.22/69.44 (step @p227 :rule reordering :premises (@p226) :args ((or @t203 @t189 @t202 @t205 @t200 (not @t206)))) % 69.22/69.44 (step @p228 :rule chain_m_resolution :premises (@p227 @p8 @p185 @p225 @p224 @p198) :args (@t200 @t207 (@list @t1 @t164 @t201 @t204 @t206))) % 69.22/69.44 (step @p229 :rule refl :args (@t182)) % 69.22/69.44 (step @p230 :rule refl :args (@t174)) % 69.22/69.44 (step @p231 :rule cong :premises (@p188 @p230) :args (@t208)) % 69.22/69.44 (step @p232 :rule cong :premises (@p231) :args (@t209)) % 69.22/69.44 (step @p233 :rule refl :args (@t176)) % 69.22/69.44 (step @p234 :rule refl :args (@t177)) % 69.22/69.44 (step @p235 :rule refl :args (@t178)) % 69.22/69.44 (step @p236 :rule nary_cong :premises (@p235 @p234 @p233 @p232 @p229) :args (@t210)) % 69.22/69.44 (step @p237 :rule cong :premises (@p236) :args ((forall @t180 @t210))) % 69.22/69.44 (step @p238 :rule eq-symm :args (@t174 tptp.sk1)) % 69.22/69.44 (step @p239 :rule cong :premises (@p238) :args (@t175)) % 69.22/69.44 (step @p240 :rule nary_cong :premises (@p235 @p234 @p233 @p239 @p229) :args (@t183)) % 69.22/69.44 (step @p241 :rule cong :premises (@p240) :args (@t184)) % 69.22/69.44 (step @p242 :rule trans :premises (@p241 @p237)) % 69.22/69.44 (step @p243 :rule eq_resolve :premises (@p194 @p242)) % 69.22/69.44 (step @p244 :rule instantiate :premises (@p243) :args (@t213)) % 69.22/69.44 (step @p245 :rule instantiate :premises (@p218) :args ((@list @t215))) % 69.22/69.44 (step @p246 :rule instantiate :premises (@p84) :args ((@list @t216 tptp.nil))) % 69.22/69.44 (step @p247 :rule instantiate :premises (@p76) :args (@t187)) % 69.22/69.44 (step @p248 :rule refl :args (tptp.nil)) % 69.22/69.44 (step @p249 :rule cong :premises (@p248 @p188) :args (@t167)) % 69.22/69.44 (step @p250 :rule cong :premises (@p249) :args (@t168)) % 69.22/69.44 (step @p251 :rule eq_resolve :premises (@p191 @p250)) % 69.22/69.44 (step @p252 :rule cnf_or_pos :args (@t219)) % 69.22/69.44 (step @p253 :rule reordering :premises (@p252) :args ((or @t217 @t189 @t218 (not @t219)))) % 69.22/69.44 (step @p254 :rule chain_m_resolution :premises (@p253 @p251 @p185 @p247) :args (@t218 @t220 (@list @t217 @t164 @t219))) % 69.22/69.44 (step @p255 :rule cnf_or_pos :args (@t224)) % 69.22/69.44 (step @p256 :rule reordering :premises (@p255) :args ((or @t203 @t223 @t222 (not @t224)))) % 69.22/69.44 (step @p257 :rule chain_m_resolution :premises (@p256 @p8 @p254 @p246) :args (@t222 @t196 (@list @t1 @t218 @t224))) % 69.22/69.44 (step @p258 :rule true_intro :premises (@p257)) % 69.22/69.44 (step @p259 :rule refl :args (@t54)) % 69.22/69.44 (step @p260 :rule eq-symm :args (@t86 @t2)) % 69.22/69.44 (step @p261 :rule nary_cong :premises (@p200 @p260 @p259) :args (@t87)) % 69.22/69.44 (step @p262 :rule cong :premises (@p261) :args (@t88)) % 69.22/69.44 (step @p263 :rule eq_resolve :premises (@p107 @p262)) % 69.22/69.44 (step @p264 :rule instantiate :premises (@p263) :args (@t187)) % 69.22/69.44 (step @p265 :rule cnf_or_pos :args (@t228)) % 69.22/69.44 (step @p266 :rule reordering :premises (@p265) :args ((or @t217 @t189 @t227 (not @t228)))) % 69.22/69.44 (step @p267 :rule chain_m_resolution :premises 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69.22/69.44 (step @p471 :rule eq_resolve :premises (@p470 @p440)) % 69.22/69.44 (step @p472 :rule reordering :premises (@p471) :args ((or @t303 @t301 @t275 @t300))) % 69.22/69.44 (step @p473 :rule chain_m_resolution :premises (@p472 @p311 @p435 @p341) :args (@t303 @t306 (@list @t248 @t275 @t271))) % 69.22/69.44 (step @p474 :rule cnf_or_pos :args (@t308)) % 69.22/69.44 (step @p475 :rule reordering :premises (@p474) :args ((or @t249 @t302 @t307 (not @t308)))) % 69.22/69.44 (step @p476 :rule chain_m_resolution :premises (@p475 @p186 @p473 @p337) :args (@t307 @t306 (@list @t165 @t302 @t308))) % 69.22/69.44 (step @p477 :rule aci_norm :args ((= (or @t203 @t311) @t311))) % 69.22/69.44 (step @p478 :rule aci_norm :args ((= (or false @t203 @t310) @t311))) % 69.22/69.44 (step @p479 :rule refl :args (@t310)) % 69.22/69.44 (step @p480 :rule eq-refl :args (tptp.nil)) % 69.22/69.44 (step @p481 :rule cong :premises (@p480) :args (@t312)) % 69.22/69.44 (step @p482 :rule trans :premises (@p481 @p399)) % 69.22/69.44 (step @p483 :rule nary_cong :premises (@p482 @p367 @p479) :args (@t313)) % 69.22/69.44 (step @p484 :rule trans :premises (@p483 @p478)) % 69.22/69.44 (step @p485 :rule quant-var-elim-eq :args ((= (forall @t315 (or (not (= @t40 tptp.nil)) @t137 @t62 @t314)) @t313))) % 69.22/69.44 (step @p486 :rule refl :args (@t314)) % 69.22/69.44 (step @p487 :rule refl :args (@t137)) % 69.22/69.44 (step @p488 :rule eq-symm :args (tptp.nil @t40)) % 69.22/69.44 (step @p489 :rule cong :premises (@p488) :args (@t137)) % 69.22/69.44 (step @p490 :rule nary_cong :premises (@p489 @p487 @p409 @p486) :args (@t316)) % 69.22/69.44 (step @p491 :rule aci_norm :args ((= @t317 @t316))) % 69.22/69.44 (step @p492 :rule trans :premises (@p491 @p490)) % 69.22/69.44 (step @p493 :rule cong :premises (@p492) :args (@t318)) % 69.22/69.44 (step @p494 :rule trans :premises (@p493 @p485)) % 69.22/69.44 (step @p495 :rule trans :premises (@p494 @p484)) % 69.22/69.44 (step @p496 :rule nary_cong :premises (@p367 @p495) :args (@t319)) % 69.22/69.44 (step @p497 :rule trans :premises (@p496 @p477)) % 69.22/69.44 (step @p498 :rule quant-miniscope-or :args ((= (forall @t315 @t320) @t319))) % 69.22/69.44 (step @p499 :rule aci_norm :args ((= @t321 @t320))) % 69.22/69.44 (step @p500 :rule cong :premises (@p499) :args ((forall @t315 @t321))) % 69.22/69.44 (step @p501 :rule trans :premises (@p500 @p498)) % 69.22/69.44 (step @p502 :rule trans :premises (@p501 @p497)) % 69.22/69.44 (step @p503 :rule aci_norm :args ((= (or false @t137 @t62 @t203 @t314) @t321))) % 69.22/69.44 (step @p504 :rule refl :args (@t314)) % 69.22/69.44 (step @p505 :rule refl :args (@t137)) % 69.22/69.44 (step @p506 :rule nary_cong :premises (@p482 @p505 @p201 @p367 @p504) :args (@t322)) % 69.22/69.44 (step @p507 :rule trans :premises (@p506 @p503)) % 69.22/69.44 (step @p508 :rule cong :premises (@p507) :args ((forall @t315 @t322))) % 69.22/69.44 (step @p509 :rule trans :premises (@p508 @p502)) % 69.22/69.44 (step @p510 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t58 @t137 @t62 @t47 @t323)) @t322))) % 69.22/69.44 (step @p511 :rule refl :args (@t323)) % 69.22/69.44 (step @p512 :rule refl :args (@t58)) % 69.22/69.44 (step @p513 :rule eq-symm :args (tptp.nil @t2)) % 69.22/69.44 (step @p514 :rule cong :premises (@p513) :args (@t58)) % 69.22/69.44 (step @p515 :rule nary_cong :premises (@p514 @p512 @p487 @p409 @p410 @p511) :args (@t324)) % 69.22/69.44 (step @p516 :rule aci_norm :args ((= @t325 @t324))) % 69.22/69.44 (step @p517 :rule trans :premises (@p516 @p515)) % 69.22/69.44 (step @p518 :rule cong :premises (@p517) :args (@t326)) % 69.22/69.44 (step @p519 :rule trans :premises (@p518 @p510)) % 69.22/69.44 (step @p520 :rule cong :premises (@p519) :args (@t327)) % 69.22/69.44 (step @p521 :rule quant-merge-prenex :args ((= @t327 @t328))) % 69.22/69.44 (step @p522 :rule symm :premises (@p521)) % 69.22/69.44 (step @p523 :rule quant_var_reordering :args ((= (forall @t41 @t325) @t328))) % 69.22/69.44 (step @p524 :rule trans :premises (@p523 @p522 @p520)) % 69.22/69.44 (step @p525 :rule trans :premises (@p524 @p509)) % 69.22/69.44 (step @p526 :rule eq-symm :args (@t93 tptp.nil)) % 69.22/69.44 (step @p527 :rule refl :args (@t58)) % 69.22/69.44 (step @p528 :rule nary_cong :premises (@p527 @p505 @p201 @p200 @p526) :args (@t138)) % 69.22/69.44 (step @p529 :rule cong :premises (@p528) :args (@t139)) % 69.22/69.44 (step @p530 :rule trans :premises (@p529 @p525)) % 69.22/69.44 (step @p531 :rule eq_resolve :premises (@p142 @p530)) % 69.22/69.44 (step @p532 :rule chain_m_resolution :premises (@p531 @p8) :args (@t310 @t246 (@list @t1))) % 69.22/69.44 (assume-push @p672 @t310) % 69.22/69.44 (assume-push @p673 @t227) % 69.22/69.44 (assume-push @p674 @t307) % 69.22/69.44 (assume-push @p675 @t248) % 69.22/69.44 (assume-push @p676 @t264) % 69.22/69.44 (assume-push @p677 @t231) % 69.22/69.44 (assume-push @p678 @t259) % 69.22/69.44 (assume-push @p679 @t244) % 69.22/69.44 (assume-push @p680 @t255) % 69.22/69.44 (assume-push @p681 @t200) % 69.22/69.44 (assume-push @p682 @t200) % 69.22/69.44 (assume-push @p683 @t310) % 69.22/69.44 (assume-push @p684 @t264) % 69.22/69.44 (assume-push @p685 @t307) % 69.22/69.44 (assume-push @p686 @t248) % 69.22/69.44 (assume-push @p687 @t244) % 69.22/69.44 (assume-push @p688 @t227) % 69.22/69.44 (assume-push @p689 @t231) % 69.22/69.44 (assume-push @p690 @t255) % 69.22/69.44 (assume-push @p691 @t259) % 69.22/69.44 (step @p553 :rule refl :args (@t211)) % 69.22/69.44 (step @p554 :rule symm :premises (@p532)) % 69.22/69.44 (step @p555 :rule refl :args (@t212)) % 69.22/69.44 (step @p556 :rule cong :premises (@p555 @p554) :args ((tptp.cons @t212 @t309))) % 69.22/69.44 (step @p557 :rule symm :premises (@p336)) % 69.22/69.44 (step @p558 :rule cong :premises (@p674) :args (@t214)) % 69.22/69.44 (step @p559 :rule cong :premises (@p391) :args (@t240)) % 69.22/69.44 (step @p560 :rule trans :premises (@p301 @p559 @p558 @p557)) % 69.22/69.44 (step @p561 :rule trans :premises (@p281 @p560)) % 69.22/69.44 (step @p562 :rule cong :premises (@p561 @p532) :args (@t237)) % 69.22/69.44 (step @p563 :rule trans :premises (@p562 @p556)) % 69.22/69.44 (step @p564 :rule cong :premises (@p228 @p563) :args ((tptp.app tptp.nil @t237))) % 69.22/69.44 (step @p565 :rule cong :premises (@p248 @p315) :args (@t254)) % 69.22/69.44 (step @p566 :rule symm :premises (@p315)) % 69.22/69.44 (step @p567 :rule cong :premises (@p283 @p248) :args (@t221)) % 69.22/69.44 (step @p568 :rule trans :premises (@p567 @p566 @p322 @p565 @p564)) % 69.22/69.44 (step @p569 :rule trans :premises (@p282 @p568)) % 69.22/69.44 (step @p570 :rule cong :premises (@p569 @p553) :args (@t258)) % 69.22/69.44 (step @p571 :rule trans :premises (@p267 @p330 @p570)) % 69.22/69.44 (step-pop @p692 :rule scope :premises (@p571)) % 69.22/69.44 (step-pop @p693 :rule scope :premises (@p692)) % 69.22/69.44 (step-pop @p694 :rule scope :premises (@p693)) % 69.22/69.44 (step-pop @p695 :rule scope :premises (@p694)) % 69.22/69.44 (step-pop @p696 :rule scope :premises (@p695)) % 69.22/69.44 (step-pop @p697 :rule scope :premises (@p696)) % 69.22/69.44 (step-pop @p698 :rule scope :premises (@p697)) % 69.22/69.44 (step-pop @p699 :rule scope :premises (@p698)) % 69.22/69.44 (step-pop @p700 :rule scope :premises (@p699)) % 69.22/69.44 (step-pop @p701 :rule scope :premises (@p700)) % 69.22/69.44 (step @p572 :rule process_scope :premises (@p701) :args (@t329)) % 69.22/69.44 (step @p583 :rule and_intro :premises (@p228 @p532 @p336 @p674 @p311 @p301 @p267 @p280 @p322 @p330)) % 69.22/69.44 (step @p584 :rule modus_ponens :premises (@p583 @p572)) % 69.22/69.44 (step-pop @p702 :rule scope :premises (@p584)) % 69.22/69.44 (step-pop @p703 :rule scope :premises (@p702)) % 69.22/69.44 (step-pop @p704 :rule scope :premises (@p703)) % 69.22/69.44 (step-pop @p705 :rule scope :premises (@p704)) % 69.22/69.44 (step-pop @p706 :rule scope :premises (@p705)) % 69.22/69.44 (step-pop @p707 :rule scope :premises (@p706)) % 69.22/69.44 (step-pop @p708 :rule scope :premises (@p707)) % 69.22/69.44 (step-pop @p709 :rule scope :premises (@p708)) % 69.22/69.44 (step-pop @p710 :rule scope :premises (@p709)) % 69.22/69.44 (step-pop @p711 :rule scope :premises (@p710)) % 69.22/69.44 (step @p585 :rule process_scope :premises (@p711) :args (@t329)) % 69.22/69.44 (step @p596 :rule implies_elim :premises (@p585)) % 69.22/69.44 (step @p597 :rule cnf_and_neg :args (@t330)) % 69.22/69.44 (step @p598 :rule resolution :premises (@p597 @p596) :args (true @t330)) % 69.22/69.44 (step @p599 :rule chain_m_resolution :premises (@p598 @p532 @p267 @p476 @p311 @p336 @p280 @p330 @p301 @p322 @p228) :args (@t329 (@list false false false false false false false false false false) (@list @t310 @t227 @t307 @t248 @t264 @t231 @t259 @t244 @t255 @t200))) % 69.22/69.44 (step @p600 :rule cnf_or_pos :args (@t334)) % 69.22/69.44 (step @p601 :rule reordering :premises (@p600) :args ((or @t268 @t233 @t202 @t333 @t332 (not @t334)))) % 69.22/69.44 (step @p602 :rule chain_m_resolution :premises (@p601 @p333 @p276 @p225 @p599 @p244) :args (@t332 @t207 (@list @t267 @t232 @t201 @t329 @t334))) % 69.22/69.44 (step @p603 :rule instantiate :premises (@p71) :args ((@list @t331))) % 69.22/69.44 (step @p604 :rule refl :args (@t173)) % 69.22/69.44 (step @p605 :rule nary_cong :premises (@p235 @p234 @p233 @p232 @p604) :args (@t335)) % 69.22/69.44 (step @p606 :rule cong :premises (@p605) :args ((forall @t180 @t335))) % 69.22/69.44 (step @p607 :rule nary_cong :premises (@p235 @p234 @p233 @p239 @p604) :args (@t179)) % 69.22/69.44 (step @p608 :rule cong :premises (@p607) :args (@t181)) % 69.22/69.44 (step @p609 :rule trans :premises (@p608 @p606)) % 69.22/69.44 (step @p610 :rule eq_resolve :premises (@p193 @p609)) % 69.22/69.44 (step @p611 :rule instantiate :premises (@p610) :args (@t213)) % 69.22/69.44 (step @p612 :rule cnf_or_pos :args (@t337)) % 69.22/69.44 (step @p613 :rule reordering :premises (@p612) :args ((or @t268 @t233 @t202 @t333 @t336 (not @t337)))) % 69.22/69.44 (step @p614 :rule chain_m_resolution :premises (@p613 @p333 @p276 @p225 @p599 @p611) :args (@t336 @t207 (@list @t267 @t232 @t201 @t329 @t337))) % 69.22/69.44 (step @p615 :rule cnf_or_pos :args (@t341)) % 69.22/69.44 (step @p616 :rule reordering :premises (@p615) :args ((or @t338 @t340 (not @t341)))) % 69.22/69.44 (step @p617 :rule chain_m_resolution :premises (@p616 @p614 @p603) :args (@t340 @t191 (@list @t336 @t341))) % 69.22/69.44 (step @p618 :rule bool-double-not-elim :args (@t339)) % 69.22/69.44 (step @p619 :rule refl :args (@t342)) % 69.22/69.44 (step @p620 :rule refl :args (@t343)) % 69.22/69.44 (step @p621 :rule nary_cong :premises (@p620 @p619 @p618) :args ((or @t343 @t342 (not @t340)))) % 69.22/69.44 (assume-push @p712 @t340) % 69.22/69.44 (assume-push @p713 @t200) % 69.22/69.44 (assume-push @p714 @t332) % 69.22/69.44 (step @p445 :rule evaluate :args (@t304)) % 69.22/69.44 (step @p625 :rule false_intro :premises (@p712)) % 69.22/69.44 (step @p626 :rule refl :args (@t331)) % 69.22/69.44 (step @p627 :rule symm :premises (@p228)) % 69.22/69.44 (step @p628 :rule cong :premises (@p627 @p626) :args (@t332)) % 69.22/69.44 (step @p629 :rule true_intro :premises (@p714)) % 69.22/69.44 (step @p630 :rule symm :premises (@p629)) % 69.22/69.44 (step @p631 :rule trans :premises (@p630 @p628 @p625)) % 69.22/69.44 (step @p632 false :rule eq_resolve :premises (@p631 @p445)) % 69.22/69.44 (step-pop @p715 :rule scope :premises (@p632)) % 69.22/69.44 (step-pop @p716 :rule scope :premises (@p715)) % 69.22/69.44 (step-pop @p717 :rule scope :premises (@p716)) % 69.22/69.44 (step @p633 :rule process_scope :premises (@p717) :args (false)) % 69.22/69.44 (assume-push @p718 @t200) % 69.22/69.44 (assume-push @p719 @t332) % 69.22/69.44 (assume-push @p720 @t340) % 69.22/69.44 (step @p640 :rule and_intro :premises (@p720 @p228 @p719)) % 69.22/69.44 (step-pop @p721 :rule scope :premises (@p640)) % 69.22/69.44 (step-pop @p722 :rule scope :premises (@p721)) % 69.22/69.44 (step-pop @p723 :rule scope :premises (@p722)) % 69.22/69.44 (step @p641 :rule process_scope :premises (@p723) :args (@t344)) % 69.22/69.44 (step @p645 :rule implies_elim :premises (@p641)) % 69.22/69.44 (step @p646 :rule resolution :premises (@p645 @p633) :args (true @t344)) % 69.22/69.44 (step @p647 :rule not_and :premises (@p646)) % 69.22/69.44 (step @p648 :rule eq_resolve :premises (@p647 @p621)) % 69.22/69.44 (step @p649 false :rule chain_m_resolution :premises (@p648 @p617 @p602 @p228) :args (false @t220 (@list @t339 @t332 @t200))) % 69.22/69.44 ) % 69.22/69.44 % SZS output end Proof % 69.22/69.44 % cvc5 exiting %------------------------------------------------------------------------------