%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC170-1 : 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 : n015.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 08:58:19 AM UTC 2026 % Result : Unsatisfiable 34.83s 35.09s % Output : Proof 34.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC170-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n015.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:20:49 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.60/15.80 --- Run --no-e-matching --full-saturate-quant at 6... % 21.59/21.85 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.59/27.89 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.69/33.96 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.83/35.09 % SZS status Unsatisfiable % 34.83/35.09 % SZS output start Proof % 34.83/35.11 ( % 34.83/35.11 (declare-sort $$unsorted 0) % 34.83/35.11 (declare-const tptp.sk8 $$unsorted) % 34.83/35.11 (declare-const tptp.sk7 $$unsorted) % 34.83/35.11 (declare-const tptp.sk6 $$unsorted) % 34.83/35.11 (declare-const tptp.sk5 $$unsorted) % 34.83/35.11 (declare-const tptp.sk4 $$unsorted) % 34.83/35.11 (declare-const tptp.sk2 $$unsorted) % 34.83/35.11 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.nil $$unsorted) % 34.83/35.11 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.sk1 $$unsorted) % 34.83/35.11 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.skac2 $$unsorted) % 34.83/35.11 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.sk3 $$unsorted) % 34.83/35.11 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.ssList (-> $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skac3 $$unsorted) % 34.83/35.11 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 34.83/35.11 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 34.83/35.11 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 34.83/35.11 (define @t1 () (tptp.ssList tptp.nil)) % 34.83/35.11 (define @t2 () (@var "U" $$unsorted)) % 34.83/35.11 (define @t3 () (tptp.skaf83 @t2)) % 34.83/35.11 (define @t4 () (@list @t2)) % 34.83/35.11 (define @t5 () (tptp.skaf82 @t2)) % 34.83/35.11 (define @t6 () (tptp.skaf81 @t2)) % 34.83/35.11 (define @t7 () (tptp.skaf80 @t2)) % 34.83/35.11 (define @t8 () (tptp.skaf79 @t2)) % 34.83/35.11 (define @t9 () (tptp.skaf78 @t2)) % 34.83/35.11 (define @t10 () (tptp.skaf77 @t2)) % 34.83/35.11 (define @t11 () (tptp.skaf76 @t2)) % 34.83/35.11 (define @t12 () (tptp.skaf75 @t2)) % 34.83/35.11 (define @t13 () (tptp.skaf74 @t2)) % 34.83/35.11 (define @t14 () (tptp.skaf73 @t2)) % 34.83/35.11 (define @t15 () (tptp.skaf72 @t2)) % 34.83/35.11 (define @t16 () (tptp.skaf71 @t2)) % 34.83/35.11 (define @t17 () (tptp.skaf70 @t2)) % 34.83/35.11 (define @t18 () (tptp.skaf69 @t2)) % 34.83/35.11 (define @t19 () (tptp.skaf68 @t2)) % 34.83/35.11 (define @t20 () (tptp.skaf67 @t2)) % 34.83/35.11 (define @t21 () (tptp.skaf66 @t2)) % 34.83/35.11 (define @t22 () (tptp.skaf65 @t2)) % 34.83/35.11 (define @t23 () (tptp.skaf64 @t2)) % 34.83/35.11 (define @t24 () (tptp.skaf63 @t2)) % 34.83/35.11 (define @t25 () (tptp.skaf62 @t2)) % 34.83/35.11 (define @t26 () (tptp.skaf61 @t2)) % 34.83/35.11 (define @t27 () (tptp.skaf60 @t2)) % 34.83/35.11 (define @t28 () (tptp.skaf59 @t2)) % 34.83/35.11 (define @t29 () (tptp.skaf58 @t2)) % 34.83/35.11 (define @t30 () (tptp.skaf57 @t2)) % 34.83/35.11 (define @t31 () (tptp.skaf56 @t2)) % 34.83/35.11 (define @t32 () (tptp.skaf55 @t2)) % 34.83/35.11 (define @t33 () (tptp.skaf54 @t2)) % 34.83/35.11 (define @t34 () (tptp.skaf53 @t2)) % 34.83/35.11 (define @t35 () (tptp.skaf52 @t2)) % 34.83/35.11 (define @t36 () (tptp.skaf51 @t2)) % 34.83/35.11 (define @t37 () (tptp.skaf50 @t2)) % 34.83/35.11 (define @t38 () (tptp.skaf49 @t2)) % 34.83/35.11 (define @t39 () (tptp.skaf44 @t2)) % 34.83/35.11 (define @t40 () (@var "V" $$unsorted)) % 34.83/35.11 (define @t41 () (@list @t2 @t40)) % 34.83/35.11 (define @t42 () (tptp.skaf47 @t2 @t40)) % 34.83/35.11 (define @t43 () (tptp.skaf46 @t2 @t40)) % 34.83/35.11 (define @t44 () (tptp.skaf45 @t2 @t40)) % 34.83/35.11 (define @t45 () (tptp.skaf42 @t2 @t40)) % 34.83/35.11 (define @t46 () (not (tptp.ssItem @t2))) % 34.83/35.11 (define @t47 () (not (tptp.ssList @t2))) % 34.83/35.11 (define @t48 () (tptp.cons @t2 tptp.nil)) % 34.83/35.11 (define @t49 () (tptp.ssItem @t40)) % 34.83/35.11 (define @t50 () (tptp.duplicatefreeP @t2)) % 34.83/35.11 (define @t51 () (tptp.app @t2 tptp.nil)) % 34.83/35.11 (define @t52 () (or @t47 (= @t51 @t2))) % 34.83/35.11 (define @t53 () (forall @t4 @t52)) % 34.83/35.11 (define @t54 () (tptp.app tptp.nil @t2)) % 34.83/35.11 (define @t55 () (or @t47 (= @t54 @t2))) % 34.83/35.11 (define @t56 () (forall @t4 @t55)) % 34.83/35.11 (define @t57 () (= tptp.nil @t2)) % 34.83/35.11 (define @t58 () (tptp.tl @t2)) % 34.83/35.11 (define @t59 () (tptp.hd @t2)) % 34.83/35.11 (define @t60 () (tptp.segmentP tptp.nil @t2)) % 34.83/35.11 (define @t61 () (not @t57)) % 34.83/35.11 (define @t62 () (tptp.rearsegP tptp.nil @t2)) % 34.83/35.11 (define @t63 () (tptp.frontsegP tptp.nil @t2)) % 34.83/35.11 (define @t64 () (tptp.app @t40 @t2)) % 34.83/35.11 (define @t65 () (not (tptp.ssList @t40))) % 34.83/35.11 (define @t66 () (tptp.cons @t2 @t40)) % 34.83/35.11 (define @t67 () (tptp.cyclefreeP @t2)) % 34.83/35.11 (define @t68 () (tptp.equalelemsP @t2)) % 34.83/35.11 (define @t69 () (tptp.strictorderedP @t2)) % 34.83/35.11 (define @t70 () (tptp.totalorderedP @t2)) % 34.83/35.11 (define @t71 () (tptp.strictorderP @t2)) % 34.83/35.11 (define @t72 () (tptp.totalorderP @t2)) % 34.83/35.11 (define @t73 () (tptp.tl @t66)) % 34.83/35.11 (define @t74 () (or @t46 @t65 (= @t73 @t40))) % 34.83/35.11 (define @t75 () (forall @t41 @t74)) % 34.83/35.11 (define @t76 () (tptp.hd @t66)) % 34.83/35.11 (define @t77 () (or @t46 @t65 (= @t76 @t2))) % 34.83/35.11 (define @t78 () (forall @t41 @t77)) % 34.83/35.11 (define @t79 () (not (= @t66 tptp.nil))) % 34.83/35.11 (define @t80 () (or @t79 @t46 @t65)) % 34.83/35.11 (define @t81 () (forall @t41 @t80)) % 34.83/35.11 (define @t82 () (= @t40 @t2)) % 34.83/35.11 (define @t83 () (tptp.neq @t40 @t2)) % 34.83/35.11 (define @t84 () (or @t47 @t65 @t83 @t82)) % 34.83/35.11 (define @t85 () (forall @t41 @t84)) % 34.83/35.11 (define @t86 () (tptp.cons @t39 tptp.nil)) % 34.83/35.11 (define @t87 () (not (tptp.singletonP @t2))) % 34.83/35.11 (define @t88 () (or @t87 @t47 (= @t86 @t2))) % 34.83/35.11 (define @t89 () (forall @t4 @t88)) % 34.83/35.11 (define @t90 () (not @t49)) % 34.83/35.11 (define @t91 () (or @t46 @t90 @t83 @t82)) % 34.83/35.11 (define @t92 () (forall @t41 @t91)) % 34.83/35.11 (define @t93 () (tptp.leq @t2 @t40)) % 34.83/35.11 (define @t94 () (tptp.lt @t2 @t40)) % 34.83/35.11 (define @t95 () (not @t94)) % 34.83/35.11 (define @t96 () (tptp.cons @t59 @t58)) % 34.83/35.11 (define @t97 () (or @t47 (= @t96 @t2) @t57)) % 34.83/35.11 (define @t98 () (forall @t4 @t97)) % 34.83/35.11 (define @t99 () (tptp.lt @t40 @t2)) % 34.83/35.11 (define @t100 () (not (tptp.gt @t2 @t40))) % 34.83/35.11 (define @t101 () (tptp.gt @t40 @t2)) % 34.83/35.11 (define @t102 () (tptp.leq @t40 @t2)) % 34.83/35.11 (define @t103 () (not (tptp.geq @t2 @t40))) % 34.83/35.11 (define @t104 () (tptp.geq @t40 @t2)) % 34.83/35.11 (define @t105 () (not @t93)) % 34.83/35.11 (define @t106 () (tptp.cons @t3 @t5)) % 34.83/35.11 (define @t107 () (or @t47 (= @t106 @t2) @t57)) % 34.83/35.11 (define @t108 () (forall @t4 @t107)) % 34.83/35.11 (define @t109 () (= @t2 @t40)) % 34.83/35.11 (define @t110 () (not @t109)) % 34.83/35.11 (define @t111 () (tptp.cons @t40 @t2)) % 34.83/35.11 (define @t112 () (not (tptp.neq @t2 @t40))) % 34.83/35.11 (define @t113 () (tptp.app @t2 @t40)) % 34.83/35.11 (define @t114 () (= @t113 tptp.nil)) % 34.83/35.11 (define @t115 () (not @t114)) % 34.83/35.11 (define @t116 () (or @t115 @t65 @t47 @t57)) % 34.83/35.11 (define @t117 () (forall @t41 @t116)) % 34.83/35.11 (define @t118 () (= tptp.nil @t40)) % 34.83/35.11 (define @t119 () (or @t115 @t65 @t47 @t118)) % 34.83/35.11 (define @t120 () (forall @t41 @t119)) % 34.83/35.11 (define @t121 () (tptp.app @t48 @t40)) % 34.83/35.11 (define @t122 () (or @t46 @t65 (= @t121 @t66))) % 34.83/35.11 (define @t123 () (forall @t41 @t122)) % 34.83/35.11 (define @t124 () (tptp.hd @t40)) % 34.83/35.11 (define @t125 () (forall @t41 (or @t47 @t65 @t118 (= (tptp.hd @t64) @t124)))) % 34.83/35.11 (define @t126 () (tptp.strictorderedP @t40)) % 34.83/35.11 (define @t127 () (tptp.strictorderedP @t66)) % 34.83/35.11 (define @t128 () (not @t127)) % 34.83/35.11 (define @t129 () (tptp.totalorderedP @t40)) % 34.83/35.11 (define @t130 () (tptp.totalorderedP @t66)) % 34.83/35.11 (define @t131 () (not @t130)) % 34.83/35.11 (define @t132 () (not (tptp.segmentP @t2 @t40))) % 34.83/35.11 (define @t133 () (not (tptp.rearsegP @t2 @t40))) % 34.83/35.11 (define @t134 () (not (tptp.frontsegP @t40 @t2))) % 34.83/35.11 (define @t135 () (not (tptp.frontsegP @t2 @t40))) % 34.83/35.11 (define @t136 () (or @t135 @t134 @t47 @t65 @t82)) % 34.83/35.11 (define @t137 () (forall @t41 @t136)) % 34.83/35.11 (define @t138 () (not @t102)) % 34.83/35.11 (define @t139 () (tptp.tl @t40)) % 34.83/35.11 (define @t140 () (tptp.lt @t2 @t124)) % 34.83/35.11 (define @t141 () (tptp.leq @t2 @t124)) % 34.83/35.11 (define @t142 () (@var "W" $$unsorted)) % 34.83/35.11 (define @t143 () (tptp.app @t142 @t2)) % 34.83/35.11 (define @t144 () (not (tptp.ssList @t142))) % 34.83/35.11 (define @t145 () (@list @t2 @t40 @t142)) % 34.83/35.11 (define @t146 () (tptp.app @t2 @t142)) % 34.83/35.11 (define @t147 () (tptp.cons @t40 @t142)) % 34.83/35.11 (define @t148 () (tptp.cons @t142 @t2)) % 34.83/35.11 (define @t149 () (not (tptp.ssItem @t142))) % 34.83/35.11 (define @t150 () (not (tptp.memberP @t2 @t40))) % 34.83/35.11 (define @t151 () (not (= @t113 @t142))) % 34.83/35.11 (define @t152 () (tptp.frontsegP @t142 @t2)) % 34.83/35.11 (define @t153 () (or @t151 @t65 @t47 @t144 @t152)) % 34.83/35.11 (define @t154 () (forall @t145 @t153)) % 34.83/35.11 (define @t155 () (tptp.lt @t2 @t142)) % 34.83/35.11 (define @t156 () (not (tptp.lt @t40 @t142))) % 34.83/35.11 (define @t157 () (tptp.app @t142 @t40)) % 34.83/35.11 (define @t158 () (= @t40 @t142)) % 34.83/35.11 (define @t159 () (= @t2 @t142)) % 34.83/35.11 (define @t160 () (forall @t145 (or (not (= @t113 @t157)) @t47 @t65 @t144 @t159))) % 34.83/35.11 (define @t161 () (tptp.memberP @t40 @t142)) % 34.83/35.11 (define @t162 () (@var "X" $$unsorted)) % 34.83/35.11 (define @t163 () (not (tptp.ssList @t162))) % 34.83/35.11 (define @t164 () (tptp.cons @t142 @t162)) % 34.83/35.11 (define @t165 () (not (= @t66 @t164))) % 34.83/35.11 (define @t166 () (@list @t2 @t40 @t142 @t162)) % 34.83/35.11 (define @t167 () (tptp.segmentP @t162 @t40)) % 34.83/35.11 (define @t168 () (tptp.app @t113 @t142)) % 34.83/35.11 (define @t169 () (not (= @t168 @t162))) % 34.83/35.11 (define @t170 () (or @t169 @t144 @t47 @t65 @t163 @t167)) % 34.83/35.11 (define @t171 () (forall @t166 @t170)) % 34.83/35.11 (define @t172 () (not (tptp.frontsegP @t66 @t164))) % 34.83/35.11 (define @t173 () (tptp.app @t2 @t147)) % 34.83/35.11 (define @t174 () (not (tptp.ssItem @t162))) % 34.83/35.11 (define @t175 () (@var "Y" $$unsorted)) % 34.83/35.11 (define @t176 () (not (tptp.ssList @t175))) % 34.83/35.11 (define @t177 () (@list @t2 @t40 @t142 @t162 @t175)) % 34.83/35.11 (define @t178 () (tptp.lt @t40 @t162)) % 34.83/35.11 (define @t179 () (@var "Z" $$unsorted)) % 34.83/35.11 (define @t180 () (not (tptp.ssList @t179))) % 34.83/35.11 (define @t181 () (not (= (tptp.app @t173 (tptp.cons @t162 @t175)) @t179))) % 34.83/35.11 (define @t182 () (@list @t2 @t40 @t142 @t162 @t175 @t179)) % 34.83/35.11 (define @t183 () (tptp.leq @t40 @t162)) % 34.83/35.11 (define @t184 () (tptp.ssList tptp.sk1)) % 34.83/35.11 (define @t185 () (tptp.ssList tptp.sk4)) % 34.83/35.11 (define @t186 () (tptp.segmentP tptp.sk4 tptp.sk3)) % 34.83/35.11 (define @t187 () (tptp.ssItem tptp.sk5)) % 34.83/35.11 (define @t188 () (tptp.ssItem tptp.sk6)) % 34.83/35.11 (define @t189 () (tptp.ssList tptp.sk7)) % 34.83/35.11 (define @t190 () (tptp.ssList tptp.sk8)) % 34.83/35.11 (define @t191 () (tptp.cons tptp.sk6 tptp.nil)) % 34.83/35.11 (define @t192 () (tptp.cons tptp.sk5 tptp.nil)) % 34.83/35.11 (define @t193 () (tptp.app tptp.sk7 @t192)) % 34.83/35.11 (define @t194 () (tptp.app @t193 @t191)) % 34.83/35.11 (define @t195 () (tptp.app @t194 tptp.sk8)) % 34.83/35.11 (define @t196 () (tptp.neq tptp.sk5 tptp.sk6)) % 34.83/35.11 (define @t197 () (tptp.neq tptp.sk4 tptp.nil)) % 34.83/35.11 (define @t198 () (not @t197)) % 34.83/35.11 (define @t199 () (tptp.singletonP tptp.sk3)) % 34.83/35.11 (define @t200 () (or @t199 @t198)) % 34.83/35.11 (define @t201 () (@list @t191)) % 34.83/35.11 (define @t202 () (@list tptp.sk6 tptp.nil)) % 34.83/35.11 (define @t203 () (not @t1)) % 34.83/35.11 (define @t204 () (not @t188)) % 34.83/35.11 (define @t205 () (= tptp.nil @t191)) % 34.83/35.11 (define @t206 () (not @t205)) % 34.83/35.11 (define @t207 () (or @t206 @t204 @t203)) % 34.83/35.11 (define @t208 () (@list false false false)) % 34.83/35.11 (define @t209 () (tptp.ssList @t191)) % 34.83/35.11 (define @t210 () (or @t204 @t203 @t209)) % 34.83/35.11 (define @t211 () (not @t209)) % 34.83/35.11 (define @t212 () (tptp.segmentP tptp.nil @t191)) % 34.83/35.11 (define @t213 () (not @t212)) % 34.83/35.11 (define @t214 () (or @t213 @t211 @t205)) % 34.83/35.11 (define @t215 () (@list false true false)) % 34.83/35.11 (define @t216 () (tptp.segmentP @t168 @t40)) % 34.83/35.11 (define @t217 () (not (tptp.ssList @t168))) % 34.83/35.11 (define @t218 () (not (= @t168 @t168))) % 34.83/35.11 (define @t219 () (or @t218 @t144 @t47 @t65 @t217 @t216)) % 34.83/35.11 (define @t220 () (not (= @t162 @t168))) % 34.83/35.11 (define @t221 () (or @t220 @t220 @t144 @t47 @t65 @t163 @t167)) % 34.83/35.11 (define @t222 () (@list @t162)) % 34.83/35.11 (define @t223 () (or @t220 @t144 @t47 @t65 @t163 @t167)) % 34.83/35.11 (define @t224 () (forall @t222 @t223)) % 34.83/35.11 (define @t225 () (forall @t145 @t224)) % 34.83/35.11 (define @t226 () (@list @t192 tptp.sk7)) % 34.83/35.11 (define @t227 () (not @t187)) % 34.83/35.11 (define @t228 () (or @t204 @t227 @t196 (= tptp.sk6 tptp.sk5))) % 34.83/35.11 (define @t229 () (forall @t41 (or @t46 @t90 @t83 @t109))) % 34.83/35.11 (define @t230 () (= tptp.sk5 tptp.sk6)) % 34.83/35.11 (define @t231 () (or @t204 @t227 @t196 @t230)) % 34.83/35.11 (define @t232 () (@list false)) % 34.83/35.11 (define @t233 () (@list true false false false)) % 34.83/35.11 (define @t234 () (tptp.ssList @t192)) % 34.83/35.11 (define @t235 () (tptp.ssList @t193)) % 34.83/35.11 (define @t236 () (not @t189)) % 34.83/35.11 (define @t237 () (not @t234)) % 34.83/35.11 (define @t238 () (or @t237 @t236 @t235)) % 34.83/35.11 (define @t239 () (tptp.segmentP @t195 @t191)) % 34.83/35.11 (define @t240 () (tptp.ssList @t195)) % 34.83/35.11 (define @t241 () (not @t240)) % 34.83/35.11 (define @t242 () (not @t235)) % 34.83/35.11 (define @t243 () (not @t190)) % 34.83/35.11 (define @t244 () (or @t243 @t242 @t211 @t241 @t239)) % 34.83/35.11 (define @t245 () (tptp.segmentP tptp.sk4 @t191)) % 34.83/35.11 (define @t246 () (not @t185)) % 34.83/35.11 (define @t247 () (not @t239)) % 34.83/35.11 (define @t248 () (tptp.segmentP tptp.sk4 @t195)) % 34.83/35.11 (define @t249 () (not @t248)) % 34.83/35.11 (define @t250 () (or @t249 @t247 @t211 @t241 @t246 @t245)) % 34.83/35.11 (define @t251 () (@list false false false false false false)) % 34.83/35.11 (define @t252 () (@list @t195)) % 34.83/35.11 (define @t253 () (@list tptp.sk7)) % 34.83/35.11 (define @t254 () (= tptp.nil tptp.sk7)) % 34.83/35.11 (define @t255 () (tptp.skaf82 tptp.sk7)) % 34.83/35.11 (define @t256 () (tptp.skaf83 tptp.sk7)) % 34.83/35.11 (define @t257 () (tptp.cons @t256 @t255)) % 34.83/35.11 (define @t258 () (= tptp.sk7 @t257)) % 34.83/35.11 (define @t259 () (or @t236 @t258 @t254)) % 34.83/35.11 (define @t260 () (tptp.hd @t193)) % 34.83/35.11 (define @t261 () (tptp.hd tptp.sk7)) % 34.83/35.11 (define @t262 () (or @t237 @t236 @t254 (= @t260 @t261))) % 34.83/35.11 (define @t263 () (= @t261 @t260)) % 34.83/35.11 (define @t264 () (or @t237 @t236 @t254 @t263)) % 34.83/35.11 (define @t265 () (@list @t125)) % 34.83/35.11 (define @t266 () (tptp.tl tptp.sk7)) % 34.83/35.11 (define @t267 () (tptp.ssList @t266)) % 34.83/35.11 (define @t268 () (or @t236 @t267 @t254)) % 34.83/35.11 (define @t269 () (tptp.app tptp.sk7 @t191)) % 34.83/35.11 (define @t270 () (tptp.ssList @t269)) % 34.83/35.11 (define @t271 () (tptp.frontsegP @t113 @t2)) % 34.83/35.11 (define @t272 () (not (tptp.ssList @t113))) % 34.83/35.11 (define @t273 () (not (= @t113 @t113))) % 34.83/35.11 (define @t274 () (or @t273 @t65 @t47 @t272 @t271)) % 34.83/35.11 (define @t275 () (@list @t142)) % 34.83/35.11 (define @t276 () (or @t151 @t151 @t65 @t47 @t144 @t152)) % 34.83/35.11 (define @t277 () (forall @t275 @t153)) % 34.83/35.11 (define @t278 () (forall @t41 @t277)) % 34.83/35.11 (define @t279 () (@list @t194 tptp.sk8)) % 34.83/35.11 (define @t280 () (@list @t191 @t193)) % 34.83/35.11 (define @t281 () (tptp.ssList @t194)) % 34.83/35.11 (define @t282 () (or @t211 @t242 @t281)) % 34.83/35.11 (define @t283 () (tptp.frontsegP @t195 @t194)) % 34.83/35.11 (define @t284 () (not @t281)) % 34.83/35.11 (define @t285 () (or @t243 @t284 @t241 @t283)) % 34.83/35.11 (define @t286 () (@list false false false false)) % 34.83/35.11 (define @t287 () (@list @t193 @t191)) % 34.83/35.11 (define @t288 () (tptp.frontsegP @t194 @t193)) % 34.83/35.11 (define @t289 () (or @t211 @t242 @t284 @t288)) % 34.83/35.11 (define @t290 () (tptp.frontsegP @t195 @t193)) % 34.83/35.11 (define @t291 () (not @t288)) % 34.83/35.11 (define @t292 () (not @t283)) % 34.83/35.11 (define @t293 () (or @t292 @t291 @t242 @t284 @t241 @t290)) % 34.83/35.11 (define @t294 () (tptp.frontsegP @t195 @t269)) % 34.83/35.11 (define @t295 () (tptp.app @t195 @t266)) % 34.83/35.11 (define @t296 () (tptp.frontsegP @t295 @t269)) % 34.83/35.11 (define @t297 () (not @t270)) % 34.83/35.11 (define @t298 () (not @t267)) % 34.83/35.11 (define @t299 () (not @t294)) % 34.83/35.11 (define @t300 () (or @t299 @t298 @t297 @t241 @t296)) % 34.83/35.11 (define @t301 () (tptp.app @t195 tptp.nil)) % 34.83/35.11 (define @t302 () (= @t195 @t301)) % 34.83/35.11 (define @t303 () (or @t241 @t302)) % 34.83/35.11 (define @t304 () (@list false false)) % 34.83/35.11 (define @t305 () (tptp.hd @t194)) % 34.83/35.11 (define @t306 () (= tptp.nil @t193)) % 34.83/35.11 (define @t307 () (or @t211 @t242 @t306 (= @t305 @t260))) % 34.83/35.11 (define @t308 () (= @t260 @t305)) % 34.83/35.11 (define @t309 () (or @t211 @t242 @t306 @t308)) % 34.83/35.11 (define @t310 () (@list tptp.sk7 @t192)) % 34.83/35.11 (define @t311 () (= tptp.nil @t192)) % 34.83/35.11 (define @t312 () (not @t306)) % 34.83/35.11 (define @t313 () (or @t312 @t237 @t236 @t311)) % 34.83/35.11 (define @t314 () (@list false false true false)) % 34.83/35.11 (define @t315 () (= tptp.nil @t194)) % 34.83/35.11 (define @t316 () (not @t315)) % 34.83/35.11 (define @t317 () (or @t316 @t211 @t242 @t205)) % 34.83/35.11 (define @t318 () (tptp.hd @t195)) % 34.83/35.11 (define @t319 () (= @t318 @t305)) % 34.83/35.11 (define @t320 () (or @t243 @t284 @t315 @t319)) % 34.83/35.11 (define @t321 () (@list false true false false)) % 34.83/35.11 (define @t322 () (= tptp.nil @t195)) % 34.83/35.11 (define @t323 () (not @t322)) % 34.83/35.11 (define @t324 () (or @t323 @t243 @t284 @t315)) % 34.83/35.11 (define @t325 () (tptp.skaf82 @t195)) % 34.83/35.11 (define @t326 () (tptp.skaf83 @t195)) % 34.83/35.11 (define @t327 () (tptp.cons @t326 @t325)) % 34.83/35.11 (define @t328 () (= @t195 @t327)) % 34.83/35.11 (define @t329 () (or @t241 @t328 @t322)) % 34.83/35.11 (define @t330 () (@list @t256 @t255)) % 34.83/35.11 (define @t331 () (= @t255 (tptp.tl @t257))) % 34.83/35.11 (define @t332 () (tptp.ssList @t255)) % 34.83/35.11 (define @t333 () (not @t332)) % 34.83/35.11 (define @t334 () (tptp.ssItem @t256)) % 34.83/35.11 (define @t335 () (not @t334)) % 34.83/35.11 (define @t336 () (or @t335 @t333 @t331)) % 34.83/35.11 (define @t337 () (= @t256 (tptp.hd @t257))) % 34.83/35.11 (define @t338 () (or @t335 @t333 @t337)) % 34.83/35.11 (define @t339 () (= @t257 (tptp.app (tptp.cons @t256 tptp.nil) @t255))) % 34.83/35.11 (define @t340 () (or @t335 @t333 @t339)) % 34.83/35.11 (define @t341 () (@list @t326 @t325)) % 34.83/35.11 (define @t342 () (tptp.tl @t327)) % 34.83/35.11 (define @t343 () (= @t325 @t342)) % 34.83/35.11 (define @t344 () (tptp.ssList @t325)) % 34.83/35.11 (define @t345 () (not @t344)) % 34.83/35.11 (define @t346 () (tptp.ssItem @t326)) % 34.83/35.11 (define @t347 () (not @t346)) % 34.83/35.11 (define @t348 () (or @t347 @t345 @t343)) % 34.83/35.11 (define @t349 () (tptp.hd @t327)) % 34.83/35.11 (define @t350 () (= @t326 @t349)) % 34.83/35.11 (define @t351 () (or @t347 @t345 @t350)) % 34.83/35.11 (define @t352 () (tptp.cons @t326 tptp.nil)) % 34.83/35.11 (define @t353 () (tptp.app @t352 @t325)) % 34.83/35.11 (define @t354 () (= @t327 @t353)) % 34.83/35.11 (define @t355 () (or @t347 @t345 @t354)) % 34.83/35.11 (define @t356 () (tptp.skaf44 @t195)) % 34.83/35.11 (define @t357 () (tptp.cons @t356 tptp.nil)) % 34.83/35.11 (define @t358 () (tptp.tl @t357)) % 34.83/35.11 (define @t359 () (= tptp.nil @t358)) % 34.83/35.11 (define @t360 () (tptp.ssItem @t356)) % 34.83/35.11 (define @t361 () (not @t360)) % 34.83/35.11 (define @t362 () (or @t361 @t203 @t359)) % 34.83/35.11 (define @t363 () (tptp.ssItem @t318)) % 34.83/35.11 (define @t364 () (or @t241 @t363 @t322)) % 34.83/35.11 (define @t365 () (tptp.cons @t318 tptp.nil)) % 34.83/35.11 (define @t366 () (tptp.app @t365 tptp.nil)) % 34.83/35.11 (define @t367 () (= @t365 @t366)) % 34.83/35.11 (define @t368 () (not @t363)) % 34.83/35.11 (define @t369 () (or @t368 @t203 @t367)) % 34.83/35.11 (define @t370 () (tptp.frontsegP tptp.sk7 @t193)) % 34.83/35.11 (define @t371 () (not @t370)) % 34.83/35.11 (define @t372 () (tptp.frontsegP @t193 tptp.sk7)) % 34.83/35.11 (define @t373 () (not @t372)) % 34.83/35.11 (define @t374 () (= @t193 tptp.sk7)) % 34.83/35.11 (define @t375 () (or @t373 @t371 @t242 @t236 @t374)) % 34.83/35.11 (define @t376 () (forall @t41 (or @t135 @t134 @t47 @t65 @t109))) % 34.83/35.11 (define @t377 () (= tptp.sk7 @t193)) % 34.83/35.11 (define @t378 () (or @t373 @t371 @t242 @t236 @t377)) % 34.83/35.11 (define @t379 () (@list @t376)) % 34.83/35.11 (define @t380 () (or @t237 @t236 @t242 @t372)) % 34.83/35.11 (define @t381 () (tptp.app tptp.sk7 tptp.nil)) % 34.83/35.11 (define @t382 () (not (= @t381 @t269))) % 34.83/35.11 (define @t383 () (or @t382 @t203 @t236 @t211 @t205)) % 34.83/35.11 (define @t384 () (@list false false false true false)) % 34.83/35.11 (define @t385 () (= tptp.sk7 @t381)) % 34.83/35.11 (define @t386 () (or @t236 @t385)) % 34.83/35.11 (define @t387 () (not @t296)) % 34.83/35.11 (define @t388 () (not @t367)) % 34.83/35.11 (define @t389 () (not @t354)) % 34.83/35.11 (define @t390 () (not @t339)) % 34.83/35.11 (define @t391 () (not @t350)) % 34.83/35.11 (define @t392 () (not @t337)) % 34.83/35.11 (define @t393 () (not @t343)) % 34.83/35.11 (define @t394 () (not @t331)) % 34.83/35.11 (define @t395 () (not @t359)) % 34.83/35.11 (define @t396 () (not @t319)) % 34.83/35.11 (define @t397 () (not @t308)) % 34.83/35.11 (define @t398 () (not @t263)) % 34.83/35.11 (define @t399 () (not @t328)) % 34.83/35.11 (define @t400 () (not @t258)) % 34.83/35.11 (define @t401 () (= @t195 @t357)) % 34.83/35.11 (define @t402 () (not @t401)) % 34.83/35.11 (define @t403 () (not @t302)) % 34.83/35.11 (define @t404 () (not @t230)) % 34.83/35.11 (define @t405 () (tptp.tl @t301)) % 34.83/35.11 (define @t406 () (tptp.tl @t195)) % 34.83/35.11 (define @t407 () (tptp.app @t365 @t406)) % 34.83/35.11 (define @t408 () (tptp.hd @t301)) % 34.83/35.11 (define @t409 () (and @t230 @t302 @t401 @t258 @t328 @t263 @t308 @t319 @t359 @t331 @t343 @t337 @t350 @t339 @t354 @t367 @t371)) % 34.83/35.11 (define @t410 () (= tptp.nil (tptp.tl @t191))) % 34.83/35.11 (define @t411 () (or @t204 @t203 @t410)) % 34.83/35.11 (define @t412 () (= @t191 (tptp.app tptp.nil @t191))) % 34.83/35.11 (define @t413 () (or @t211 @t412)) % 34.83/35.11 (define @t414 () (tptp.tl @t193)) % 34.83/35.11 (define @t415 () (tptp.cons @t260 @t414)) % 34.83/35.11 (define @t416 () (= @t193 @t415)) % 34.83/35.11 (define @t417 () (or @t242 @t416 @t306)) % 34.83/35.11 (define @t418 () (tptp.frontsegP @t193 @t194)) % 34.83/35.11 (define @t419 () (not @t418)) % 34.83/35.11 (define @t420 () (= @t194 @t193)) % 34.83/35.11 (define @t421 () (or @t291 @t419 @t284 @t242 @t420)) % 34.83/35.11 (define @t422 () (= @t193 @t194)) % 34.83/35.11 (define @t423 () (or @t291 @t419 @t284 @t242 @t422)) % 34.83/35.11 (define @t424 () (not (= @t194 @t269))) % 34.83/35.11 (define @t425 () (or @t424 @t242 @t211 @t236 @t374)) % 34.83/35.11 (define @t426 () (or @t424 @t242 @t211 @t236 @t377)) % 34.83/35.11 (define @t427 () (not @t416)) % 34.83/35.11 (define @t428 () (not @t412)) % 34.83/35.11 (define @t429 () (not @t410)) % 34.83/35.11 (define @t430 () (not @t254)) % 34.83/35.11 (define @t431 () (and @t283 @t302 @t328 @t354 @t350 @t343 @t401 @t359 @t367 @t319 @t308 @t410 @t412 @t254 @t230 @t416 @t419)) % 34.83/35.11 (define @t432 () (tptp.singletonP @t195)) % 34.83/35.11 (define @t433 () (not @t432)) % 34.83/35.11 (define @t434 () (or @t433 @t241 @t401)) % 34.83/35.11 (define @t435 () (= tptp.nil tptp.sk4)) % 34.83/35.11 (define @t436 () (or @t203 @t246 @t197 @t435)) % 34.83/35.11 (define @t437 () (not @t245)) % 34.83/35.11 (define @t438 () (not @t435)) % 34.83/35.11 (define @t439 () (and @t213 @t435 @t245)) % 34.83/35.11 (assume @p1 (tptp.equalelemsP tptp.nil)) % 34.83/35.11 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 34.83/35.11 (assume @p3 (tptp.strictorderedP tptp.nil)) % 34.83/35.11 (assume @p4 (tptp.totalorderedP tptp.nil)) % 34.83/35.11 (assume @p5 (tptp.strictorderP tptp.nil)) % 34.83/35.11 (assume @p6 (tptp.totalorderP tptp.nil)) % 34.83/35.11 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 34.83/35.11 (assume @p8 @t1) % 34.83/35.11 (assume @p9 (tptp.ssItem tptp.skac3)) % 34.83/35.11 (assume @p10 (tptp.ssItem tptp.skac2)) % 34.83/35.11 (assume @p11 (not (tptp.singletonP tptp.nil))) % 34.83/35.11 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 34.83/35.11 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 34.83/35.11 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 34.83/35.11 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 34.83/35.11 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 34.83/35.11 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 34.83/35.11 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 34.83/35.11 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 34.83/35.11 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 34.83/35.11 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 34.83/35.11 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 34.83/35.11 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 34.83/35.11 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 34.83/35.11 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 34.83/35.11 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 34.83/35.11 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 34.83/35.11 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 34.83/35.11 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 34.83/35.11 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 34.83/35.11 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 34.83/35.11 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 34.83/35.11 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 34.83/35.11 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 34.83/35.11 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 34.83/35.11 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 34.83/35.11 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 34.83/35.11 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 34.83/35.11 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 34.83/35.11 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 34.83/35.11 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 34.83/35.11 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 34.83/35.11 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 34.83/35.11 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 34.83/35.11 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 34.83/35.11 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 34.83/35.11 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 34.83/35.11 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 34.83/35.11 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 34.83/35.11 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 34.83/35.11 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 34.83/35.11 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 34.83/35.11 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 34.83/35.11 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 34.83/35.11 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 34.83/35.11 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 34.83/35.11 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 34.83/35.11 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 34.83/35.11 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 34.83/35.11 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 34.83/35.11 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 34.83/35.11 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 34.83/35.11 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 34.83/35.11 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 34.83/35.11 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 34.83/35.11 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 34.83/35.11 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 34.83/35.11 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 34.83/35.11 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 34.83/35.11 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 34.83/35.11 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 34.83/35.11 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 34.83/35.11 (assume @p73 @t53) % 34.83/35.11 (assume @p74 @t56) % 34.83/35.11 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t58) @t57))) % 34.83/35.11 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t59) @t57))) % 34.83/35.11 (assume @p77 (forall @t4 (or @t61 @t47 @t60))) % 34.83/35.11 (assume @p78 (forall @t4 (or (not @t60) @t47 @t57))) % 34.83/35.11 (assume @p79 (forall @t4 (or @t61 @t47 @t62))) % 34.83/35.11 (assume @p80 (forall @t4 (or (not @t62) @t47 @t57))) % 34.83/35.11 (assume @p81 (forall @t4 (or @t61 @t47 @t63))) % 34.83/35.11 (assume @p82 (forall @t4 (or (not @t63) @t47 @t57))) % 34.83/35.11 (assume @p83 (forall @t41 (or @t47 @t65 (tptp.ssList @t64)))) % 34.83/35.11 (assume @p84 (forall @t41 (or @t46 @t65 (tptp.ssList @t66)))) % 34.83/35.11 (assume @p85 (forall @t4 (or @t47 @t67 (tptp.leq @t37 @t38)))) % 34.83/35.11 (assume @p86 (forall @t4 (or @t47 @t67 (tptp.leq @t38 @t37)))) % 34.83/35.11 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t68))) % 34.83/35.11 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t69))) % 34.83/35.11 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t70))) % 34.83/35.11 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t71))) % 34.83/35.11 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t71))) % 34.83/35.11 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t72))) % 34.83/35.11 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t72))) % 34.83/35.11 (assume @p94 @t75) % 34.83/35.11 (assume @p95 @t78) % 34.83/35.11 (assume @p96 @t81) % 34.83/35.11 (assume @p97 (forall @t41 (or (not (= @t66 @t40)) @t46 @t65))) % 34.83/35.11 (assume @p98 @t85) % 34.83/35.11 (assume @p99 @t89) % 34.83/35.11 (assume @p100 @t92) % 34.83/35.11 (assume @p101 (forall @t41 (or @t95 @t90 @t46 @t93))) % 34.83/35.11 (assume @p102 @t98) % 34.83/35.11 (assume @p103 (forall @t41 (or @t100 @t90 @t46 @t99))) % 34.83/35.11 (assume @p104 (forall @t41 (or @t95 @t46 @t90 @t101))) % 34.83/35.11 (assume @p105 (forall @t41 (or @t103 @t90 @t46 @t102))) % 34.83/35.11 (assume @p106 (forall @t41 (or @t105 @t46 @t90 @t104))) % 34.83/35.11 (assume @p107 @t108) % 34.83/35.11 (assume @p108 (forall @t41 (or @t100 (not @t101) @t46 @t90))) % 34.83/35.11 (assume @p109 (forall @t41 (or @t110 @t95 @t90 @t46))) % 34.83/35.11 (assume @p110 (forall @t41 (or @t61 @t47 @t90 (tptp.strictorderedP @t111)))) % 34.83/35.11 (assume @p111 (forall @t41 (or @t61 @t47 @t90 (tptp.totalorderedP @t111)))) % 34.83/35.11 (assume @p112 (forall @t41 (or @t95 (not @t99) @t46 @t90))) % 34.83/35.11 (assume @p113 (forall @t41 (or @t110 @t112 @t65 @t47))) % 34.83/35.11 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t65 (tptp.singletonP @t40)))) % 34.83/35.11 (assume @p115 (forall @t41 (or @t110 @t112 @t90 @t46))) % 34.83/35.11 (assume @p116 @t117) % 34.83/35.11 (assume @p117 @t120) % 34.83/35.11 (assume @p118 @t123) % 34.83/35.11 (assume @p119 (forall @t41 (or @t105 @t90 @t46 @t94 @t109))) % 34.83/35.11 (assume @p120 @t125) % 34.83/35.11 (assume @p121 (forall @t41 (or @t128 @t65 @t46 @t126 @t118))) % 34.83/35.11 (assume @p122 (forall @t41 (or @t131 @t65 @t46 @t129 @t118))) % 34.83/35.11 (assume @p123 (forall @t41 (or @t103 (not @t104) @t46 @t90 @t82))) % 34.83/35.11 (assume @p124 (forall @t41 (or @t132 (not (tptp.segmentP @t40 @t2)) @t47 @t65 @t82))) % 34.83/35.11 (assume @p125 (forall @t41 (or @t133 (not (tptp.rearsegP @t40 @t2)) @t47 @t65 @t82))) % 34.83/35.11 (assume @p126 @t137) % 34.83/35.11 (assume @p127 (forall @t41 (or @t105 @t138 @t46 @t90 @t82))) % 34.83/35.11 (assume @p128 (forall @t41 (or @t133 @t65 @t47 (= (tptp.app @t43 @t40) @t2)))) % 34.83/35.11 (assume @p129 (forall @t41 (or @t135 @t65 @t47 (= (tptp.app @t40 @t44) @t2)))) % 34.83/35.11 (assume @p130 (forall @t41 (or @t47 @t65 @t118 (= (tptp.tl @t64) (tptp.app @t139 @t2))))) % 34.83/35.11 (assume @p131 (forall @t41 (or @t128 @t65 @t46 @t140 @t118))) % 34.83/35.11 (assume @p132 (forall @t41 (or @t131 @t65 @t46 @t141 @t118))) % 34.83/35.11 (assume @p133 (forall @t145 (or @t133 @t144 @t65 @t47 (tptp.rearsegP @t143 @t40)))) % 34.83/35.11 (assume @p134 (forall @t145 (or @t135 @t144 @t65 @t47 (tptp.frontsegP @t146 @t40)))) % 34.83/35.11 (assume @p135 (forall @t145 (or @t110 @t144 @t90 @t46 (tptp.memberP @t147 @t2)))) % 34.83/35.11 (assume @p136 (forall @t145 (or @t150 @t47 @t149 @t90 (tptp.memberP @t148 @t40)))) % 34.83/35.11 (assume @p137 (forall @t145 (or @t150 @t144 @t47 @t90 (tptp.memberP @t146 @t40)))) % 34.83/35.11 (assume @p138 (forall @t145 (or @t150 @t47 @t144 @t90 (tptp.memberP @t143 @t40)))) % 34.83/35.11 (assume @p139 (forall @t4 (or @t47 @t68 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 34.83/35.11 (assume @p140 (forall @t145 (or @t151 @t47 @t65 @t144 (tptp.rearsegP @t142 @t40)))) % 34.83/35.11 (assume @p141 @t154) % 34.83/35.11 (assume @p142 (forall @t41 (or @t61 (not @t118) @t65 @t47 @t114))) % 34.83/35.11 (assume @p143 (forall @t145 (or @t100 (not (tptp.gt @t40 @t142)) @t149 @t90 @t46 (tptp.gt @t2 @t142)))) % 34.83/35.11 (assume @p144 (forall @t145 (or @t105 @t156 @t149 @t90 @t46 @t155))) % 34.83/35.11 (assume @p145 (forall @t145 (or @t103 (not (tptp.geq @t40 @t142)) @t149 @t90 @t46 (tptp.geq @t2 @t142)))) % 34.83/35.11 (assume @p146 (forall @t145 (or @t47 @t65 @t144 (= (tptp.app @t157 @t2) (tptp.app @t142 @t64))))) % 34.83/35.11 (assume @p147 (forall @t145 (or (not (= @t113 @t146)) @t65 @t47 @t144 @t158))) % 34.83/35.11 (assume @p148 @t160) % 34.83/35.11 (assume @p149 (forall @t145 (or @t132 (not (tptp.segmentP @t40 @t142)) @t144 @t65 @t47 (tptp.segmentP @t2 @t142)))) % 34.83/35.11 (assume @p150 (forall @t145 (or @t133 (not (tptp.rearsegP @t40 @t142)) @t144 @t65 @t47 (tptp.rearsegP @t2 @t142)))) % 34.83/35.11 (assume @p151 (forall @t145 (or @t135 (not (tptp.frontsegP @t40 @t142)) @t144 @t65 @t47 (tptp.frontsegP @t2 @t142)))) % 34.83/35.11 (assume @p152 (forall @t145 (or @t95 @t156 @t149 @t90 @t46 @t155))) % 34.83/35.11 (assume @p153 (forall @t145 (or @t105 (not (tptp.leq @t40 @t142)) @t149 @t90 @t46 (tptp.leq @t2 @t142)))) % 34.83/35.11 (assume @p154 (forall @t145 (or @t46 @t65 @t144 (= (tptp.cons @t2 (tptp.app @t40 @t142)) (tptp.app @t66 @t142))))) % 34.83/35.11 (assume @p155 (forall @t145 (or (not (tptp.memberP @t113 @t142)) @t65 @t47 @t149 @t161 (tptp.memberP @t2 @t142)))) % 34.83/35.11 (assume @p156 (forall @t41 (or (not @t141) (not @t129) @t65 @t46 @t130 @t118))) % 34.83/35.11 (assume @p157 (forall @t41 (or (not @t140) (not @t126) @t65 @t46 @t127 @t118))) % 34.83/35.11 (assume @p158 (forall @t145 (or (not (tptp.memberP @t66 @t142)) @t65 @t46 @t149 @t161 (= @t142 @t2)))) % 34.83/35.11 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 34.83/35.11 (assume @p160 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 34.83/35.11 (assume @p161 (forall @t4 (or @t47 @t70 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 34.83/35.11 (assume @p162 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 34.83/35.11 (assume @p163 (forall @t4 (or @t47 @t72 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 34.83/35.11 (assume @p164 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 34.83/35.11 (assume @p165 (forall @t41 (or @t132 @t65 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 34.83/35.11 (assume @p166 (forall @t41 (or @t150 @t90 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 34.83/35.11 (assume @p167 (forall @t166 (or @t165 @t149 @t46 @t163 @t65 @t159))) % 34.83/35.11 (assume @p168 (forall @t166 (or @t165 @t149 @t46 @t163 @t65 (= @t162 @t40)))) % 34.83/35.11 (assume @p169 (forall @t166 (or @t132 @t144 @t163 @t65 @t47 (tptp.segmentP (tptp.app (tptp.app @t162 @t2) @t142) @t40)))) % 34.83/35.11 (assume @p170 @t171) % 34.83/35.11 (assume @p171 (forall @t166 (or @t172 @t163 @t65 @t149 @t46 (tptp.frontsegP @t40 @t162)))) % 34.83/35.11 (assume @p172 (forall @t166 (or (not (= @t173 @t162)) @t144 @t47 @t90 @t163 (tptp.memberP @t162 @t40)))) % 34.83/35.11 (assume @p173 (forall @t166 (or @t172 @t163 @t65 @t149 @t46 @t159))) % 34.83/35.11 (assume @p174 (forall @t41 (or (not (= @t58 @t139)) (not (= @t59 @t124)) @t47 @t65 @t118 @t109 @t57))) % 34.83/35.11 (assume @p175 (forall @t166 (or @t135 (not (= @t142 @t162)) @t65 @t47 @t174 @t149 (tptp.frontsegP @t148 (tptp.cons @t162 @t40))))) % 34.83/35.11 (assume @p176 (forall @t177 (or (not (= (tptp.app @t173 (tptp.cons @t40 @t162)) @t175)) @t163 @t144 @t47 @t90 (not (tptp.duplicatefreeP @t175)) @t176))) % 34.83/35.11 (assume @p177 (forall @t177 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t164)) @t175)) @t163 @t47 @t149 @t90 (not (tptp.equalelemsP @t175)) @t176 @t158))) % 34.83/35.11 (assume @p178 (forall @t182 (or @t181 @t176 @t144 @t47 @t174 @t90 (not (tptp.strictorderedP @t179)) @t180 @t178))) % 34.83/35.11 (assume @p179 (forall @t182 (or @t181 @t176 @t144 @t47 @t174 @t90 (not (tptp.totalorderedP @t179)) @t180 @t183))) % 34.83/35.11 (assume @p180 (forall @t182 (or @t181 @t176 @t144 @t47 @t174 @t90 (not (tptp.strictorderP @t179)) @t180 @t178 (tptp.lt @t162 @t40)))) % 34.83/35.11 (assume @p181 (forall @t182 (or @t181 @t176 @t144 @t47 @t174 @t90 (not (tptp.totalorderP @t179)) @t180 @t183 (tptp.leq @t162 @t40)))) % 34.83/35.11 (assume @p182 (forall @t182 (or @t105 @t138 (not (= (tptp.app (tptp.app @t142 (tptp.cons @t2 @t162)) (tptp.cons @t40 @t175)) @t179)) @t176 @t163 @t144 @t90 @t46 (not (tptp.cyclefreeP @t179)) @t180))) % 34.83/35.11 (assume @p183 @t184) % 34.83/35.11 (assume @p184 (tptp.ssList tptp.sk2)) % 34.83/35.11 (assume @p185 (tptp.ssList tptp.sk3)) % 34.83/35.11 (assume @p186 @t185) % 34.83/35.11 (assume @p187 (= tptp.sk2 tptp.sk4)) % 34.83/35.11 (assume @p188 (= tptp.sk1 tptp.sk3)) % 34.83/35.11 (assume @p189 @t186) % 34.83/35.11 (assume @p190 @t187) % 34.83/35.11 (assume @p191 @t188) % 34.83/35.11 (assume @p192 @t189) % 34.83/35.11 (assume @p193 @t190) % 34.83/35.11 (assume @p194 (= @t195 tptp.sk1)) % 34.83/35.11 (assume @p195 (not @t196)) % 34.83/35.11 (assume @p196 @t200) % 34.83/35.11 (step @p197 :rule instantiate :premises (@p78) :args (@t201)) % 34.83/35.11 (step @p198 :rule refl :args (@t65)) % 34.83/35.11 (step @p199 :rule refl :args (@t46)) % 34.83/35.11 (step @p200 :rule eq-symm :args (@t66 tptp.nil)) % 34.83/35.11 (step @p201 :rule cong :premises (@p200) :args (@t79)) % 34.83/35.11 (step @p202 :rule nary_cong :premises (@p201 @p199 @p198) :args (@t80)) % 34.83/35.11 (step @p203 :rule cong :premises (@p202) :args (@t81)) % 34.83/35.11 (step @p204 :rule eq_resolve :premises (@p96 @p203)) % 34.83/35.11 (step @p205 :rule instantiate :premises (@p204) :args (@t202)) % 34.83/35.11 (step @p206 :rule cnf_or_pos :args (@t207)) % 34.83/35.11 (step @p207 :rule reordering :premises (@p206) :args ((or @t203 @t204 @t206 (not @t207)))) % 34.83/35.11 (step @p208 :rule chain_m_resolution :premises (@p207 @p8 @p191 @p205) :args (@t206 @t208 (@list @t1 @t188 @t207))) % 34.83/35.11 (step @p209 :rule instantiate :premises (@p84) :args (@t202)) % 34.83/35.11 (step @p210 :rule cnf_or_pos :args (@t210)) % 34.83/35.11 (step @p211 :rule reordering :premises (@p210) :args ((or @t203 @t204 @t209 (not @t210)))) % 34.83/35.11 (step @p212 :rule chain_m_resolution :premises (@p211 @p8 @p191 @p209) :args (@t209 @t208 (@list @t1 @t188 @t210))) % 34.83/35.11 (step @p213 :rule cnf_or_pos :args (@t214)) % 34.83/35.11 (step @p214 :rule reordering :premises (@p213) :args ((or @t211 @t205 @t213 (not @t214)))) % 34.83/35.11 (step @p215 :rule chain_m_resolution :premises (@p214 @p212 @p208 @p197) :args (@t213 @t215 (@list @t209 @t205 @t214))) % 34.83/35.11 (step @p216 :rule instantiate :premises (@p149) :args ((@list tptp.sk4 @t195 @t191))) % 34.83/35.11 (step @p217 :rule aci_norm :args ((= (or false @t144 @t47 @t65 @t217 @t216) (or @t144 @t47 @t65 @t217 @t216)))) % 34.83/35.11 (step @p218 :rule refl :args (@t216)) % 34.83/35.11 (step @p219 :rule refl :args (@t217)) % 34.83/35.11 (step @p220 :rule refl :args (@t47)) % 34.83/35.11 (step @p221 :rule refl :args (@t144)) % 34.83/35.11 (step @p222 :rule evaluate :args ((not true))) % 34.83/35.11 (step @p223 :rule eq-refl :args (@t168)) % 34.83/35.11 (step @p224 :rule cong :premises (@p223) :args (@t218)) % 34.83/35.11 (step @p225 :rule trans :premises (@p224 @p222)) % 34.83/35.11 (step @p226 :rule nary_cong :premises (@p225 @p221 @p220 @p198 @p219 @p218) :args (@t219)) % 34.83/35.11 (step @p227 :rule trans :premises (@p226 @p217)) % 34.83/35.11 (step @p228 :rule cong :premises (@p227) :args ((forall @t145 @t219))) % 34.83/35.11 (step @p229 :rule quant-var-elim-eq :args ((= (forall @t222 @t221) @t219))) % 34.83/35.11 (step @p230 :rule aci_norm :args ((= @t223 @t221))) % 34.83/35.11 (step @p231 :rule cong :premises (@p230) :args (@t224)) % 34.83/35.11 (step @p232 :rule trans :premises (@p231 @p229)) % 34.83/35.11 (step @p233 :rule cong :premises (@p232) :args (@t225)) % 34.83/35.11 (step @p234 :rule quant-merge-prenex :args ((= @t225 (forall @t166 @t223)))) % 34.83/35.11 (step @p235 :rule symm :premises (@p234)) % 34.83/35.11 (step @p236 :rule trans :premises (@p235 @p233)) % 34.83/35.11 (step @p237 :rule trans :premises (@p236 @p228)) % 34.83/35.11 (step @p238 :rule refl :args (@t167)) % 34.83/35.11 (step @p239 :rule refl :args (@t163)) % 34.83/35.11 (step @p240 :rule eq-symm :args (@t168 @t162)) % 34.83/35.11 (step @p241 :rule cong :premises (@p240) :args (@t169)) % 34.83/35.11 (step @p242 :rule nary_cong :premises (@p241 @p221 @p220 @p198 @p239 @p238) :args (@t170)) % 34.83/35.11 (step @p243 :rule cong :premises (@p242) :args (@t171)) % 34.83/35.11 (step @p244 :rule trans :premises (@p243 @p237)) % 34.83/35.11 (step @p245 :rule eq_resolve :premises (@p170 @p244)) % 34.83/35.11 (step @p246 :rule instantiate :premises (@p245) :args ((@list @t193 @t191 tptp.sk8))) % 34.83/35.11 (step @p247 :rule instantiate :premises (@p83) :args (@t226)) % 34.83/35.11 (step @p248 :rule true_intro :premises (@p212)) % 34.83/35.11 (step @p249 :rule refl :args (tptp.nil)) % 34.83/35.11 (step @p250 :rule eq-symm :args (@t40 @t2)) % 34.83/35.11 (step @p251 :rule refl :args (@t83)) % 34.83/35.11 (step @p252 :rule refl :args (@t90)) % 34.83/35.11 (step @p253 :rule nary_cong :premises (@p199 @p252 @p251 @p250) :args (@t91)) % 34.83/35.11 (step @p254 :rule cong :premises (@p253) :args (@t92)) % 34.83/35.11 (step @p255 :rule eq_resolve :premises (@p100 @p254)) % 34.83/35.11 (step @p256 :rule eq-symm :args (tptp.sk6 tptp.sk5)) % 34.83/35.11 (step @p257 :rule refl :args (@t196)) % 34.83/35.11 (step @p258 :rule refl :args (@t227)) % 34.83/35.11 (step @p259 :rule refl :args (@t204)) % 34.83/35.11 (step @p260 :rule nary_cong :premises (@p259 @p258 @p257 @p256) :args (@t228)) % 34.83/35.11 (step @p261 :rule refl :args (@t229)) % 34.83/35.11 (step @p262 :rule cong :premises (@p261 @p260) :args ((=> @t229 @t228))) % 34.83/35.11 (assume-push @p907 @t229) % 34.83/35.11 (step @p264 :rule instantiate :premises (@p255) :args ((@list tptp.sk6 tptp.sk5))) % 34.83/35.11 (step-pop @p908 :rule scope :premises (@p264)) % 34.83/35.11 (step @p265 :rule process_scope :premises (@p908) :args (@t228)) % 34.83/35.11 (step @p267 :rule eq_resolve :premises (@p265 @p262)) % 34.83/35.11 (step @p268 :rule implies_elim :premises (@p267)) % 34.83/35.11 (step @p269 :rule chain_m_resolution :premises (@p268 @p255) :args (@t231 @t232 (@list @t229))) % 34.83/35.11 (step @p270 :rule cnf_or_pos :args (@t231)) % 34.83/35.11 (step @p271 :rule reordering :premises (@p270) :args ((or @t196 @t227 @t204 @t230 (not @t231)))) % 34.83/35.11 (step @p272 :rule chain_m_resolution :premises (@p271 @p195 @p190 @p191 @p269) :args (@t230 @t233 (@list @t196 @t187 @t188 @t231))) % 34.83/35.11 (step @p273 :rule cong :premises (@p272 @p249) :args (@t192)) % 34.83/35.11 (step @p274 :rule cong :premises (@p273) :args (@t234)) % 34.83/35.11 (step @p275 :rule trans :premises (@p274 @p248)) % 34.83/35.11 (step @p276 :rule true_elim :premises (@p275)) % 34.83/35.11 (step @p277 :rule cnf_or_pos :args (@t238)) % 34.83/35.11 (step @p278 :rule reordering :premises (@p277) :args ((or @t236 @t237 @t235 (not @t238)))) % 34.83/35.11 (step @p279 :rule chain_m_resolution :premises (@p278 @p192 @p276 @p247) :args (@t235 @t208 (@list @t189 @t234 @t238))) % 34.83/35.11 (step @p280 :rule symm :premises (@p194)) % 34.83/35.11 (step @p281 :rule cong :premises (@p280) :args (@t184)) % 34.83/35.11 (step @p282 :rule eq_resolve :premises (@p183 @p281)) % 34.83/35.11 (step @p283 :rule cnf_or_pos :args (@t244)) % 34.83/35.11 (step @p284 :rule reordering :premises (@p283) :args ((or @t241 @t243 @t211 @t242 @t239 (not @t244)))) % 34.83/35.11 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p193 @p212 @p279 @p246) :args (@t239 (@list false false false false false) (@list @t240 @t190 @t209 @t235 @t244))) % 34.83/35.11 (step @p286 :rule refl :args (@t195)) % 34.83/35.11 (step @p287 :rule cong :premises (@p188 @p286) :args ((= tptp.sk1 @t195))) % 34.83/35.11 (step @p288 :rule eq_resolve :premises (@p280 @p287)) % 34.83/35.11 (step @p289 :rule refl :args (tptp.sk4)) % 34.83/35.11 (step @p290 :rule cong :premises (@p289 @p288) :args (@t186)) % 34.83/35.11 (step @p291 :rule eq_resolve :premises (@p189 @p290)) % 34.83/35.11 (step @p292 :rule cnf_or_pos :args (@t250)) % 34.83/35.11 (step @p293 :rule reordering :premises (@p292) :args ((or @t241 @t246 @t249 @t211 @t247 @t245 (not @t250)))) % 34.83/35.11 (step @p294 :rule chain_m_resolution :premises (@p293 @p282 @p186 @p291 @p212 @p285 @p216) :args (@t245 @t251 (@list @t240 @t185 @t248 @t209 @t239 @t250))) % 34.83/35.11 (step @p295 :rule nary_cong :premises (@p220 @p198 @p251 @p250) :args (@t84)) % 34.83/35.11 (step @p296 :rule cong :premises (@p295) :args (@t85)) % 34.83/35.11 (step @p297 :rule eq_resolve :premises (@p98 @p296)) % 34.83/35.11 (step @p298 :rule instantiate :premises (@p297) :args ((@list tptp.nil tptp.sk4))) % 34.83/35.11 (step @p299 :rule eq-symm :args (@t86 @t2)) % 34.83/35.11 (step @p300 :rule refl :args (@t87)) % 34.83/35.11 (step @p301 :rule nary_cong :premises (@p300 @p220 @p299) :args (@t88)) % 34.83/35.11 (step @p302 :rule cong :premises (@p301) :args (@t89)) % 34.83/35.11 (step @p303 :rule eq_resolve :premises (@p99 @p302)) % 34.83/35.11 (step @p304 :rule instantiate :premises (@p303) :args (@t252)) % 34.83/35.11 (step @p305 :rule refl :args (@t57)) % 34.83/35.11 (step @p306 :rule eq-symm :args (@t106 @t2)) % 34.83/35.11 (step @p307 :rule nary_cong :premises (@p220 @p306 @p305) :args (@t107)) % 34.83/35.11 (step @p308 :rule cong :premises (@p307) :args (@t108)) % 34.83/35.11 (step @p309 :rule eq_resolve :premises (@p107 @p308)) % 34.83/35.11 (step @p310 :rule instantiate :premises (@p309) :args (@t253)) % 34.83/35.11 (step @p311 :rule cnf_or_pos :args (@t259)) % 34.83/35.11 (step @p312 :rule reordering :premises (@p311) :args ((or @t236 @t254 @t258 (not @t259)))) % 34.83/35.11 (step @p313 :rule eq-symm :args (@t260 @t261)) % 34.83/35.11 (step @p314 :rule refl :args (@t254)) % 34.83/35.11 (step @p315 :rule refl :args (@t236)) % 34.83/35.11 (step @p316 :rule refl :args (@t237)) % 34.83/35.11 (step @p317 :rule nary_cong :premises (@p316 @p315 @p314 @p313) :args (@t262)) % 34.83/35.11 (step @p318 :rule refl :args (@t125)) % 34.83/35.11 (step @p319 :rule cong :premises (@p318 @p317) :args ((=> @t125 @t262))) % 34.83/35.11 (assume-push @p909 @t125) % 34.83/35.11 (step @p321 :rule instantiate :premises (@p120) :args (@t226)) % 34.83/35.11 (step-pop @p910 :rule scope :premises (@p321)) % 34.83/35.11 (step @p322 :rule process_scope :premises (@p910) :args (@t262)) % 34.83/35.11 (step @p324 :rule eq_resolve :premises (@p322 @p319)) % 34.83/35.11 (step @p325 :rule implies_elim :premises (@p324)) % 34.83/35.11 (step @p326 :rule chain_m_resolution :premises (@p325 @p120) :args (@t264 @t232 @t265)) % 34.83/35.11 (step @p327 :rule cnf_or_pos :args (@t264)) % 34.83/35.11 (step @p328 :rule reordering :premises (@p327) :args ((or @t236 @t254 @t237 @t263 (not @t264)))) % 34.83/35.11 (step @p329 :rule instantiate :premises (@p75) :args (@t253)) % 34.83/35.11 (step @p330 :rule cnf_or_pos :args (@t268)) % 34.83/35.11 (step @p331 :rule reordering :premises (@p330) :args ((or @t236 @t254 @t267 (not @t268)))) % 34.83/35.11 (step @p332 :rule true_intro :premises (@p279)) % 34.83/35.11 (step @p333 :rule symm :premises (@p272)) % 34.83/35.11 (step @p334 :rule cong :premises (@p333 @p249) :args (@t191)) % 34.83/35.11 (step @p335 :rule refl :args (tptp.sk7)) % 34.83/35.11 (step @p336 :rule cong :premises (@p335 @p334) :args (@t269)) % 34.83/35.11 (step @p337 :rule cong :premises (@p336) :args (@t270)) % 34.83/35.11 (step @p338 :rule trans :premises (@p337 @p332)) % 34.83/35.11 (step @p339 :rule true_elim :premises (@p338)) % 34.83/35.11 (step @p340 :rule instantiate :premises (@p151) :args ((@list @t195 @t194 @t193))) % 34.83/35.11 (step @p341 :rule aci_norm :args ((= (or false @t65 @t47 @t272 @t271) (or @t65 @t47 @t272 @t271)))) % 34.83/35.11 (step @p342 :rule refl :args (@t271)) % 34.83/35.11 (step @p343 :rule refl :args (@t272)) % 34.83/35.11 (step @p344 :rule eq-refl :args (@t113)) % 34.83/35.11 (step @p345 :rule cong :premises (@p344) :args (@t273)) % 34.83/35.11 (step @p346 :rule trans :premises (@p345 @p222)) % 34.83/35.11 (step @p347 :rule nary_cong :premises (@p346 @p198 @p220 @p343 @p342) :args (@t274)) % 34.83/35.11 (step @p348 :rule trans :premises (@p347 @p341)) % 34.83/35.11 (step @p349 :rule cong :premises (@p348) :args ((forall @t41 @t274))) % 34.83/35.11 (step @p350 :rule quant-var-elim-eq :args ((= (forall @t275 (or (not (= @t142 @t113)) @t151 @t65 @t47 @t144 @t152)) @t274))) % 34.83/35.11 (step @p351 :rule refl :args (@t152)) % 34.83/35.11 (step @p352 :rule refl :args (@t144)) % 34.83/35.11 (step @p353 :rule refl :args (@t47)) % 34.83/35.11 (step @p354 :rule refl :args (@t65)) % 34.83/35.11 (step @p355 :rule refl :args (@t151)) % 34.83/35.11 (step @p356 :rule eq-symm :args (@t113 @t142)) % 34.83/35.11 (step @p357 :rule cong :premises (@p356) :args (@t151)) % 34.83/35.11 (step @p358 :rule nary_cong :premises (@p357 @p355 @p354 @p353 @p352 @p351) :args (@t276)) % 34.83/35.11 (step @p359 :rule aci_norm :args ((= @t153 @t276))) % 34.83/35.11 (step @p360 :rule trans :premises (@p359 @p358)) % 34.83/35.11 (step @p361 :rule cong :premises (@p360) :args (@t277)) % 34.83/35.11 (step @p362 :rule trans :premises (@p361 @p350)) % 34.83/35.11 (step @p363 :rule cong :premises (@p362) :args (@t278)) % 34.83/35.11 (step @p364 :rule quant-merge-prenex :args ((= @t278 @t154))) % 34.83/35.11 (step @p365 :rule symm :premises (@p364)) % 34.83/35.11 (step @p366 :rule trans :premises (@p365 @p363)) % 34.83/35.11 (step @p367 :rule trans :premises (@p366 @p349)) % 34.83/35.11 (step @p368 :rule eq_resolve :premises (@p141 @p367)) % 34.83/35.11 (step @p369 :rule instantiate :premises (@p368) :args (@t279)) % 34.83/35.11 (step @p370 :rule instantiate :premises (@p83) :args (@t280)) % 34.83/35.11 (step @p371 :rule cnf_or_pos :args (@t282)) % 34.83/35.11 (step @p372 :rule reordering :premises (@p371) :args ((or @t211 @t242 @t281 (not @t282)))) % 34.83/35.11 (step @p373 :rule chain_m_resolution :premises (@p372 @p212 @p279 @p370) :args (@t281 @t208 (@list @t209 @t235 @t282))) % 34.83/35.11 (step @p374 :rule cnf_or_pos :args (@t285)) % 34.83/35.11 (step @p375 :rule reordering :premises (@p374) :args ((or @t241 @t243 @t284 @t283 (not @t285)))) % 34.83/35.11 (step @p376 :rule chain_m_resolution :premises (@p375 @p282 @p193 @p373 @p369) :args (@t283 @t286 (@list @t240 @t190 @t281 @t285))) % 34.83/35.11 (step @p377 :rule instantiate :premises (@p368) :args (@t287)) % 34.83/35.11 (step @p378 :rule cnf_or_pos :args (@t289)) % 34.83/35.11 (step @p379 :rule reordering :premises (@p378) :args ((or @t211 @t242 @t284 @t288 (not @t289)))) % 34.83/35.11 (step @p380 :rule chain_m_resolution :premises (@p379 @p212 @p279 @p373 @p377) :args (@t288 @t286 (@list @t209 @t235 @t281 @t289))) % 34.83/35.11 (step @p381 :rule cnf_or_pos :args (@t293)) % 34.83/35.11 (step @p382 :rule reordering :premises (@p381) :args ((or @t241 @t242 @t284 @t291 @t292 @t290 (not @t293)))) % 34.83/35.11 (step @p383 :rule chain_m_resolution :premises (@p382 @p282 @p279 @p373 @p380 @p376 @p340) :args (@t290 @t251 (@list @t240 @t235 @t281 @t288 @t283 @t293))) % 34.83/35.11 (step @p384 :rule true_intro :premises (@p383)) % 34.83/35.11 (step @p385 :rule cong :premises (@p286 @p336) :args (@t294)) % 34.83/35.11 (step @p386 :rule trans :premises (@p385 @p384)) % 34.83/35.11 (step @p387 :rule true_elim :premises (@p386)) % 34.83/35.11 (step @p388 :rule instantiate :premises (@p134) :args ((@list @t195 @t269 @t266))) % 34.83/35.11 (step @p389 :rule cnf_or_pos :args (@t300)) % 34.83/35.11 (step @p390 :rule reordering :premises (@p389) :args ((or @t241 @t297 @t298 @t299 @t296 (not @t300)))) % 34.83/35.11 (step @p391 :rule eq-symm :args (@t51 @t2)) % 34.83/35.11 (step @p392 :rule nary_cong :premises (@p220 @p391) :args (@t52)) % 34.83/35.11 (step @p393 :rule cong :premises (@p392) :args (@t53)) % 34.83/35.11 (step @p394 :rule eq_resolve :premises (@p73 @p393)) % 34.83/35.11 (step @p395 :rule instantiate :premises (@p394) :args (@t252)) % 34.83/35.11 (step @p396 :rule cnf_or_pos :args (@t303)) % 34.83/35.11 (step @p397 :rule reordering :premises (@p396) :args ((or @t241 @t302 (not @t303)))) % 34.83/35.11 (step @p398 :rule chain_m_resolution :premises (@p397 @p282 @p395) :args (@t302 @t304 (@list @t240 @t303))) % 34.83/35.11 (step @p399 :rule eq-symm :args (@t305 @t260)) % 34.83/35.11 (step @p400 :rule refl :args (@t306)) % 34.83/35.11 (step @p401 :rule refl :args (@t242)) % 34.83/35.11 (step @p402 :rule refl :args (@t211)) % 34.83/35.11 (step @p403 :rule nary_cong :premises (@p402 @p401 @p400 @p399) :args (@t307)) % 34.83/35.11 (step @p404 :rule cong :premises (@p318 @p403) :args ((=> @t125 @t307))) % 34.83/35.11 (assume-push @p911 @t125) % 34.83/35.11 (step @p406 :rule instantiate :premises (@p120) :args (@t280)) % 34.83/35.11 (step-pop @p912 :rule scope :premises (@p406)) % 34.83/35.11 (step @p407 :rule process_scope :premises (@p912) :args (@t307)) % 34.83/35.11 (step @p409 :rule eq_resolve :premises (@p407 @p404)) % 34.83/35.11 (step @p410 :rule implies_elim :premises (@p409)) % 34.83/35.11 (step @p411 :rule chain_m_resolution :premises (@p410 @p120) :args (@t309 @t232 @t265)) % 34.83/35.11 (step @p412 :rule refl :args (@t118)) % 34.83/35.11 (step @p413 :rule eq-symm :args (@t113 tptp.nil)) % 34.83/35.11 (step @p414 :rule cong :premises (@p413) :args (@t115)) % 34.83/35.11 (step @p415 :rule nary_cong :premises (@p414 @p198 @p220 @p412) :args (@t119)) % 34.83/35.11 (step @p416 :rule cong :premises (@p415) :args (@t120)) % 34.83/35.11 (step @p417 :rule eq_resolve :premises (@p117 @p416)) % 34.83/35.11 (step @p418 :rule instantiate :premises (@p417) :args (@t310)) % 34.83/35.11 (step @p419 :rule false_intro :premises (@p208)) % 34.83/35.11 (step @p420 :rule cong :premises (@p249 @p273) :args (@t311)) % 34.83/35.11 (step @p421 :rule 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34.83/35.12 (assume-push @p1034 @t416) % 34.83/35.12 (assume-push @p1035 @t354) % 34.83/35.12 (assume-push @p1036 @t367) % 34.83/35.12 (assume-push @p1037 @t419) % 34.83/35.12 (step @p838 :rule and_intro :premises (@p376 @p398 @p447 @p487 @p483 @p479 @p1025 @p492 @p500 @p436 @p428 @p684 @p692 @p1023 @p272 @p700 @p742)) % 34.83/35.12 (step-pop @p1038 :rule scope :premises (@p838)) % 34.83/35.12 (step-pop @p1039 :rule scope :premises (@p1038)) % 34.83/35.12 (step-pop @p1040 :rule scope :premises (@p1039)) % 34.83/35.12 (step-pop @p1041 :rule scope :premises (@p1040)) % 34.83/35.12 (step-pop @p1042 :rule scope :premises (@p1041)) % 34.83/35.12 (step-pop @p1043 :rule scope :premises (@p1042)) % 34.83/35.12 (step-pop @p1044 :rule scope :premises (@p1043)) % 34.83/35.12 (step-pop @p1045 :rule scope :premises (@p1044)) % 34.83/35.12 (step-pop @p1046 :rule scope :premises (@p1045)) % 34.83/35.12 (step-pop @p1047 :rule scope :premises (@p1046)) % 34.83/35.12 (step-pop @p1048 :rule scope :premises (@p1047)) % 34.83/35.12 (step-pop @p1049 :rule scope :premises (@p1048)) % 34.83/35.12 (step-pop @p1050 :rule scope :premises (@p1049)) % 34.83/35.12 (step-pop @p1051 :rule scope :premises (@p1050)) % 34.83/35.12 (step-pop @p1052 :rule scope :premises (@p1051)) % 34.83/35.12 (step-pop @p1053 :rule scope :premises (@p1052)) % 34.83/35.12 (step-pop @p1054 :rule scope :premises (@p1053)) % 34.83/35.12 (step @p839 :rule process_scope :premises (@p1054) :args (@t431)) % 34.83/35.12 (step @p857 :rule implies_elim :premises (@p839)) % 34.83/35.12 (step @p858 :rule resolution :premises (@p857 @p803) :args (true @t431)) % 34.83/35.12 (step @p859 :rule not_and :premises (@p858)) % 34.83/35.12 (step @p860 :rule eq_resolve :premises (@p859 @p749)) % 34.83/35.12 (step @p861 :rule reordering :premises (@p860) :args ((or @t404 @t403 @t430 @t429 @t402 @t399 @t397 @t396 @t292 @t418 @t428 @t395 @t393 @t391 @t427 @t389 @t388))) % 34.83/35.12 (step @p862 :rule chain_m_resolution :premises (@p861 @p742 @p500 @p700 @p492 @p692 @p487 @p483 @p479 @p447 @p436 @p376 @p428 @p684 @p398 @p272 @p680) :args (@t402 (@list true false false false false false false false false false false false false false false false) (@list @t418 @t367 @t416 @t359 @t412 @t354 @t350 @t343 @t328 @t319 @t283 @t308 @t410 @t302 @t230 @t254))) % 34.83/35.12 (step @p863 :rule cnf_or_pos :args (@t434)) % 34.83/35.12 (step @p864 :rule reordering :premises (@p863) :args ((or @t241 @t433 @t401 (not @t434)))) % 34.83/35.12 (step @p865 :rule chain_m_resolution :premises (@p864 @p282 @p862 @p304) :args (@t433 @t215 (@list @t240 @t401 @t434))) % 34.83/35.12 (step @p866 :rule refl :args (@t198)) % 34.83/35.12 (step @p867 :rule cong :premises (@p288) :args (@t199)) % 34.83/35.12 (step @p868 :rule nary_cong :premises (@p867 @p866) :args (@t200)) % 34.83/35.12 (step @p869 :rule eq_resolve :premises (@p196 @p868)) % 34.83/35.12 (step @p870 :rule reordering :premises (@p869) :args ((or @t198 @t432))) % 34.83/35.12 (step @p871 :rule chain_m_resolution :premises (@p870 @p865) :args (@t198 (@list true) (@list @t432))) % 34.83/35.12 (step @p872 :rule cnf_or_pos :args (@t436)) % 34.83/35.12 (step @p873 :rule reordering :premises (@p872) :args ((or @t197 @t203 @t246 @t435 (not @t436)))) % 34.83/35.12 (step @p874 :rule chain_m_resolution :premises (@p873 @p871 @p8 @p186 @p298) :args (@t435 @t233 (@list @t197 @t1 @t185 @t436))) % 34.83/35.12 (step @p875 :rule refl :args (@t437)) % 34.83/35.12 (step @p876 :rule bool-double-not-elim :args (@t212)) % 34.83/35.12 (step @p877 :rule refl :args (@t438)) % 34.83/35.12 (step @p878 :rule nary_cong :premises (@p877 @p876 @p875) :args ((or @t438 (not @t213) @t437))) % 34.83/35.12 (assume-push @p1055 @t213) % 34.83/35.12 (assume-push @p1056 @t435) % 34.83/35.12 (assume-push @p1057 @t245) % 34.83/35.12 (step @p882 :rule evaluate :args ((= true false))) % 34.83/35.12 (step @p883 :rule false_intro :premises (@p215)) % 34.83/35.12 (step @p787 :rule refl :args (@t191)) % 34.83/35.12 (step @p884 :rule symm :premises (@p1056)) % 34.83/35.12 (step @p885 :rule cong :premises (@p884 @p787) :args (@t245)) % 34.83/35.12 (step @p886 :rule true_intro :premises (@p294)) % 34.83/35.12 (step @p887 :rule symm :premises (@p886)) % 34.83/35.12 (step @p888 :rule trans :premises (@p887 @p885 @p883)) % 34.83/35.12 (step @p889 false :rule eq_resolve :premises (@p888 @p882)) % 34.83/35.12 (step-pop @p1058 :rule scope :premises (@p889)) % 34.83/35.12 (step-pop @p1059 :rule scope :premises (@p1058)) % 34.83/35.12 (step-pop @p1060 :rule scope :premises (@p1059)) % 34.83/35.12 (step @p890 :rule process_scope :premises (@p1060) :args (false)) % 34.83/35.12 (assume-push @p1061 @t435) % 34.83/35.12 (assume-push @p1062 @t213) % 34.83/35.12 (assume-push @p1063 @t245) % 34.83/35.12 (step @p897 :rule and_intro :premises (@p215 @p1061 @p294)) % 34.83/35.12 (step-pop @p1064 :rule scope :premises (@p897)) % 34.83/35.12 (step-pop @p1065 :rule scope :premises (@p1064)) % 34.83/35.12 (step-pop @p1066 :rule scope :premises (@p1065)) % 34.83/35.12 (step @p898 :rule process_scope :premises (@p1066) :args (@t439)) % 34.83/35.12 (step @p902 :rule implies_elim :premises (@p898)) % 34.83/35.12 (step @p903 :rule resolution :premises (@p902 @p890) :args (true @t439)) % 34.83/35.12 (step @p904 :rule not_and :premises (@p903)) % 34.83/35.12 (step @p905 :rule eq_resolve :premises (@p904 @p878)) % 34.83/35.12 (step @p906 false :rule chain_m_resolution :premises (@p905 @p874 @p294 @p215) :args (false (@list false false true) (@list @t435 @t245 @t212))) % 34.83/35.12 ) % 34.83/35.12 % SZS output end Proof % 34.83/35.12 % cvc5 exiting %------------------------------------------------------------------------------