%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC005-1 : 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 08:57:40 AM UTC 2026 % Result : Unsatisfiable 234.04s 234.32s % Output : Proof 234.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC005-1 : TPTP v9.2.1. Released v2.4.0. % 0.14/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:08:40 EDT 2026 % 0.17/0.34 % 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... % 0.37/15.91 --- Run --no-e-matching --full-saturate-quant at 6... % 21.70/21.95 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.70/28.00 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.84/34.09 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.98/64.22 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.98/79.29 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.06/112.38 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.28/127.53 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.35/157.65 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.44/172.73 --- Run --relevant-triggers --full-saturate-quant at 30... % 202.54/202.84 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 202.60/218.04 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 232.84/233.15 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 234.04/234.32 % SZS status Unsatisfiable % 234.04/234.32 % SZS output start Proof % 234.04/234.33 ( % 234.04/234.33 (declare-sort $$unsorted 0) % 234.04/234.33 (declare-const tptp.sk4 $$unsorted) % 234.04/234.33 (declare-const tptp.sk2 $$unsorted) % 234.04/234.33 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.nil $$unsorted) % 234.04/234.33 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.sk1 $$unsorted) % 234.04/234.33 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.skac2 $$unsorted) % 234.04/234.33 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.sk3 $$unsorted) % 234.04/234.33 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.ssList (-> $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skac3 $$unsorted) % 234.04/234.33 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 234.04/234.33 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 234.04/234.33 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 234.04/234.33 (define @t1 () (tptp.ssList tptp.nil)) % 234.04/234.33 (define @t2 () (@var "U" $$unsorted)) % 234.04/234.33 (define @t3 () (tptp.skaf83 @t2)) % 234.04/234.33 (define @t4 () (@list @t2)) % 234.04/234.33 (define @t5 () (tptp.skaf82 @t2)) % 234.04/234.33 (define @t6 () (tptp.skaf81 @t2)) % 234.04/234.33 (define @t7 () (tptp.skaf80 @t2)) % 234.04/234.33 (define @t8 () (tptp.skaf79 @t2)) % 234.04/234.33 (define @t9 () (tptp.skaf78 @t2)) % 234.04/234.33 (define @t10 () (tptp.skaf77 @t2)) % 234.04/234.33 (define @t11 () (tptp.skaf76 @t2)) % 234.04/234.33 (define @t12 () (tptp.skaf75 @t2)) % 234.04/234.33 (define @t13 () (tptp.skaf74 @t2)) % 234.04/234.33 (define @t14 () (tptp.skaf73 @t2)) % 234.04/234.33 (define @t15 () (tptp.skaf72 @t2)) % 234.04/234.33 (define @t16 () (tptp.skaf71 @t2)) % 234.04/234.33 (define @t17 () (tptp.skaf70 @t2)) % 234.04/234.33 (define @t18 () (tptp.skaf69 @t2)) % 234.04/234.33 (define @t19 () (tptp.skaf68 @t2)) % 234.04/234.33 (define @t20 () (tptp.skaf67 @t2)) % 234.04/234.33 (define @t21 () (tptp.skaf66 @t2)) % 234.04/234.33 (define @t22 () (tptp.skaf65 @t2)) % 234.04/234.33 (define @t23 () (tptp.skaf64 @t2)) % 234.04/234.33 (define @t24 () (tptp.skaf63 @t2)) % 234.04/234.33 (define @t25 () (tptp.skaf62 @t2)) % 234.04/234.33 (define @t26 () (tptp.skaf61 @t2)) % 234.04/234.33 (define @t27 () (tptp.skaf60 @t2)) % 234.04/234.33 (define @t28 () (tptp.skaf59 @t2)) % 234.04/234.33 (define @t29 () (tptp.skaf58 @t2)) % 234.04/234.33 (define @t30 () (tptp.skaf57 @t2)) % 234.04/234.33 (define @t31 () (tptp.skaf56 @t2)) % 234.04/234.33 (define @t32 () (tptp.skaf55 @t2)) % 234.04/234.33 (define @t33 () (tptp.skaf54 @t2)) % 234.04/234.33 (define @t34 () (tptp.skaf53 @t2)) % 234.04/234.33 (define @t35 () (tptp.skaf52 @t2)) % 234.04/234.33 (define @t36 () (tptp.skaf51 @t2)) % 234.04/234.33 (define @t37 () (tptp.skaf50 @t2)) % 234.04/234.33 (define @t38 () (tptp.skaf49 @t2)) % 234.04/234.33 (define @t39 () (tptp.skaf44 @t2)) % 234.04/234.33 (define @t40 () (@var "V" $$unsorted)) % 234.04/234.33 (define @t41 () (@list @t2 @t40)) % 234.04/234.33 (define @t42 () (tptp.skaf47 @t2 @t40)) % 234.04/234.33 (define @t43 () (tptp.skaf46 @t2 @t40)) % 234.04/234.33 (define @t44 () (tptp.skaf45 @t2 @t40)) % 234.04/234.33 (define @t45 () (tptp.skaf42 @t2 @t40)) % 234.04/234.33 (define @t46 () (not (tptp.ssItem @t2))) % 234.04/234.33 (define @t47 () (not (tptp.ssList @t2))) % 234.04/234.33 (define @t48 () (tptp.cons @t2 tptp.nil)) % 234.04/234.33 (define @t49 () (tptp.ssItem @t40)) % 234.04/234.33 (define @t50 () (tptp.duplicatefreeP @t2)) % 234.04/234.33 (define @t51 () (tptp.app tptp.nil @t2)) % 234.04/234.33 (define @t52 () (or @t47 (= @t51 @t2))) % 234.04/234.33 (define @t53 () (forall @t4 @t52)) % 234.04/234.33 (define @t54 () (= tptp.nil @t2)) % 234.04/234.33 (define @t55 () (tptp.tl @t2)) % 234.04/234.33 (define @t56 () (tptp.hd @t2)) % 234.04/234.33 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 234.04/234.33 (define @t58 () (not @t54)) % 234.04/234.33 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 234.04/234.33 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 234.04/234.33 (define @t61 () (tptp.app @t40 @t2)) % 234.04/234.33 (define @t62 () (not (tptp.ssList @t40))) % 234.04/234.33 (define @t63 () (tptp.cons @t2 @t40)) % 234.04/234.33 (define @t64 () (tptp.cyclefreeP @t2)) % 234.04/234.33 (define @t65 () (tptp.equalelemsP @t2)) % 234.04/234.33 (define @t66 () (tptp.strictorderedP @t2)) % 234.04/234.33 (define @t67 () (tptp.totalorderedP @t2)) % 234.04/234.33 (define @t68 () (tptp.strictorderP @t2)) % 234.04/234.33 (define @t69 () (tptp.totalorderP @t2)) % 234.04/234.33 (define @t70 () (tptp.tl @t63)) % 234.04/234.33 (define @t71 () (or @t46 @t62 (= @t70 @t40))) % 234.04/234.33 (define @t72 () (forall @t41 @t71)) % 234.04/234.33 (define @t73 () (tptp.hd @t63)) % 234.04/234.33 (define @t74 () (or @t46 @t62 (= @t73 @t2))) % 234.04/234.33 (define @t75 () (forall @t41 @t74)) % 234.04/234.33 (define @t76 () (not (= @t63 tptp.nil))) % 234.04/234.33 (define @t77 () (or @t76 @t46 @t62)) % 234.04/234.33 (define @t78 () (forall @t41 @t77)) % 234.04/234.33 (define @t79 () (= @t40 @t2)) % 234.04/234.33 (define @t80 () (tptp.neq @t40 @t2)) % 234.04/234.33 (define @t81 () (or @t47 @t62 @t80 @t79)) % 234.04/234.33 (define @t82 () (forall @t41 @t81)) % 234.04/234.33 (define @t83 () (not @t49)) % 234.04/234.33 (define @t84 () (tptp.leq @t2 @t40)) % 234.04/234.33 (define @t85 () (tptp.lt @t2 @t40)) % 234.04/234.33 (define @t86 () (not @t85)) % 234.04/234.33 (define @t87 () (tptp.lt @t40 @t2)) % 234.04/234.33 (define @t88 () (not (tptp.gt @t2 @t40))) % 234.04/234.33 (define @t89 () (tptp.gt @t40 @t2)) % 234.04/234.33 (define @t90 () (tptp.leq @t40 @t2)) % 234.04/234.33 (define @t91 () (not (tptp.geq @t2 @t40))) % 234.04/234.33 (define @t92 () (tptp.geq @t40 @t2)) % 234.04/234.33 (define @t93 () (not @t84)) % 234.04/234.33 (define @t94 () (tptp.cons @t3 @t5)) % 234.04/234.33 (define @t95 () (or @t47 (= @t94 @t2) @t54)) % 234.04/234.33 (define @t96 () (forall @t4 @t95)) % 234.04/234.33 (define @t97 () (= @t2 @t40)) % 234.04/234.33 (define @t98 () (not @t97)) % 234.04/234.33 (define @t99 () (tptp.cons @t40 @t2)) % 234.04/234.33 (define @t100 () (not (tptp.neq @t2 @t40))) % 234.04/234.33 (define @t101 () (or @t98 @t100 @t62 @t47)) % 234.04/234.33 (define @t102 () (forall @t41 @t101)) % 234.04/234.33 (define @t103 () (tptp.app @t2 @t40)) % 234.04/234.33 (define @t104 () (= @t103 tptp.nil)) % 234.04/234.33 (define @t105 () (not @t104)) % 234.04/234.33 (define @t106 () (= tptp.nil @t40)) % 234.04/234.33 (define @t107 () (tptp.app @t48 @t40)) % 234.04/234.33 (define @t108 () (or @t46 @t62 (= @t107 @t63))) % 234.04/234.33 (define @t109 () (forall @t41 @t108)) % 234.04/234.33 (define @t110 () (tptp.hd @t40)) % 234.04/234.33 (define @t111 () (tptp.strictorderedP @t40)) % 234.04/234.33 (define @t112 () (tptp.strictorderedP @t63)) % 234.04/234.33 (define @t113 () (not @t112)) % 234.04/234.33 (define @t114 () (tptp.totalorderedP @t40)) % 234.04/234.33 (define @t115 () (tptp.totalorderedP @t63)) % 234.04/234.33 (define @t116 () (not @t115)) % 234.04/234.33 (define @t117 () (not (tptp.segmentP @t2 @t40))) % 234.04/234.33 (define @t118 () (not (tptp.rearsegP @t2 @t40))) % 234.04/234.33 (define @t119 () (not (tptp.frontsegP @t2 @t40))) % 234.04/234.33 (define @t120 () (not @t90)) % 234.04/234.33 (define @t121 () (tptp.tl @t40)) % 234.04/234.33 (define @t122 () (tptp.lt @t2 @t110)) % 234.04/234.33 (define @t123 () (tptp.leq @t2 @t110)) % 234.04/234.33 (define @t124 () (@var "W" $$unsorted)) % 234.04/234.33 (define @t125 () (tptp.app @t124 @t2)) % 234.04/234.33 (define @t126 () (not (tptp.ssList @t124))) % 234.04/234.33 (define @t127 () (@list @t2 @t40 @t124)) % 234.04/234.33 (define @t128 () (tptp.app @t2 @t124)) % 234.04/234.33 (define @t129 () (tptp.cons @t40 @t124)) % 234.04/234.33 (define @t130 () (tptp.cons @t124 @t2)) % 234.04/234.33 (define @t131 () (not (tptp.ssItem @t124))) % 234.04/234.33 (define @t132 () (not (tptp.memberP @t2 @t40))) % 234.04/234.33 (define @t133 () (not (= @t103 @t124))) % 234.04/234.33 (define @t134 () (tptp.lt @t2 @t124)) % 234.04/234.33 (define @t135 () (not (tptp.lt @t40 @t124))) % 234.04/234.33 (define @t136 () (tptp.app @t124 @t40)) % 234.04/234.33 (define @t137 () (= @t40 @t124)) % 234.04/234.33 (define @t138 () (= @t2 @t124)) % 234.04/234.33 (define @t139 () (tptp.memberP @t40 @t124)) % 234.04/234.33 (define @t140 () (@var "X" $$unsorted)) % 234.04/234.33 (define @t141 () (not (tptp.ssList @t140))) % 234.04/234.33 (define @t142 () (tptp.cons @t124 @t140)) % 234.04/234.33 (define @t143 () (not (= @t63 @t142))) % 234.04/234.33 (define @t144 () (@list @t2 @t40 @t124 @t140)) % 234.04/234.33 (define @t145 () (not (tptp.frontsegP @t63 @t142))) % 234.04/234.33 (define @t146 () (tptp.app @t2 @t129)) % 234.04/234.33 (define @t147 () (not (tptp.ssItem @t140))) % 234.04/234.33 (define @t148 () (@var "Y" $$unsorted)) % 234.04/234.33 (define @t149 () (not (tptp.ssList @t148))) % 234.04/234.33 (define @t150 () (@list @t2 @t40 @t124 @t140 @t148)) % 234.04/234.33 (define @t151 () (tptp.lt @t40 @t140)) % 234.04/234.33 (define @t152 () (@var "Z" $$unsorted)) % 234.04/234.33 (define @t153 () (not (tptp.ssList @t152))) % 234.04/234.33 (define @t154 () (not (= (tptp.app @t146 (tptp.cons @t140 @t148)) @t152))) % 234.04/234.33 (define @t155 () (@list @t2 @t40 @t124 @t140 @t148 @t152)) % 234.04/234.33 (define @t156 () (tptp.leq @t40 @t140)) % 234.04/234.33 (define @t157 () (tptp.ssList tptp.sk3)) % 234.04/234.33 (define @t158 () (tptp.ssList tptp.sk4)) % 234.04/234.33 (define @t159 () (tptp.neq tptp.sk2 tptp.nil)) % 234.04/234.33 (define @t160 () (or @t159 @t159)) % 234.04/234.33 (define @t161 () (tptp.neq tptp.sk4 tptp.nil)) % 234.04/234.33 (define @t162 () (not @t161)) % 234.04/234.33 (define @t163 () (@var "B" $$unsorted)) % 234.04/234.33 (define @t164 () (not (tptp.neq @t163 tptp.nil))) % 234.04/234.33 (define @t165 () (@var "C" $$unsorted)) % 234.04/234.33 (define @t166 () (@var "A" $$unsorted)) % 234.04/234.33 (define @t167 () (tptp.app @t166 @t165)) % 234.04/234.33 (define @t168 () (not (= @t167 tptp.sk1))) % 234.04/234.33 (define @t169 () (tptp.app (tptp.app @t166 @t163) @t165)) % 234.04/234.33 (define @t170 () (not (= @t169 tptp.sk2))) % 234.04/234.33 (define @t171 () (not (tptp.ssList @t165))) % 234.04/234.33 (define @t172 () (not (tptp.ssList @t163))) % 234.04/234.33 (define @t173 () (not (tptp.ssList @t166))) % 234.04/234.33 (define @t174 () (@list @t166 @t163 @t165)) % 234.04/234.33 (define @t175 () (tptp.neq tptp.nil tptp.sk4)) % 234.04/234.33 (define @t176 () (not @t175)) % 234.04/234.33 (define @t177 () (tptp.tl tptp.sk4)) % 234.04/234.33 (define @t178 () (not (= @t177 @t166))) % 234.04/234.33 (define @t179 () (= tptp.sk3 @t166)) % 234.04/234.33 (define @t180 () (@list @t166)) % 234.04/234.33 (define @t181 () (or @t173 @t172 @t171 @t170 @t168 @t164 @t162)) % 234.04/234.33 (define @t182 () (forall @t174 @t181)) % 234.04/234.33 (define @t183 () (or @t173 @t179 @t178 @t176 @t162)) % 234.04/234.33 (define @t184 () (forall @t180 @t183)) % 234.04/234.33 (define @t185 () (= tptp.sk1 @t167)) % 234.04/234.33 (define @t186 () (not @t185)) % 234.04/234.33 (define @t187 () (= tptp.sk2 @t169)) % 234.04/234.33 (define @t188 () (not @t187)) % 234.04/234.33 (define @t189 () (or @t173 @t172 @t171 @t188 @t186 @t164)) % 234.04/234.33 (define @t190 () (forall @t174 @t189)) % 234.04/234.33 (define @t191 () (or @t162 @t190)) % 234.04/234.33 (define @t192 () (or @t162 @t189)) % 234.04/234.33 (define @t193 () (or @t173 @t172 @t171 @t188 @t186 @t164 @t162)) % 234.04/234.33 (define @t194 () (@list false)) % 234.04/234.33 (define @t195 () (tptp.hd tptp.sk4)) % 234.04/234.33 (define @t196 () (tptp.cons @t195 tptp.nil)) % 234.04/234.33 (define @t197 () (@list @t195 tptp.nil)) % 234.04/234.33 (define @t198 () (@list tptp.sk4)) % 234.04/234.33 (define @t199 () (not (tptp.neq @t40 @t40))) % 234.04/234.33 (define @t200 () (not (= @t40 @t40))) % 234.04/234.33 (define @t201 () (or @t200 @t199 @t62 @t62)) % 234.04/234.33 (define @t202 () (@list @t40)) % 234.04/234.33 (define @t203 () (or @t98 @t98 @t100 @t62 @t47)) % 234.04/234.33 (define @t204 () (forall @t4 @t101)) % 234.04/234.33 (define @t205 () (forall @t202 @t204)) % 234.04/234.33 (define @t206 () (forall (@list @t40 @t2) @t101)) % 234.04/234.33 (define @t207 () (not @t158)) % 234.04/234.33 (define @t208 () (tptp.neq tptp.sk4 tptp.sk4)) % 234.04/234.33 (define @t209 () (not @t208)) % 234.04/234.33 (define @t210 () (or @t209 @t207)) % 234.04/234.33 (define @t211 () (@list false false)) % 234.04/234.33 (define @t212 () (= tptp.nil tptp.sk4)) % 234.04/234.33 (define @t213 () (not @t212)) % 234.04/234.33 (define @t214 () (= false true)) % 234.04/234.33 (define @t215 () (tptp.ssItem @t195)) % 234.04/234.33 (define @t216 () (or @t207 @t215 @t212)) % 234.04/234.33 (define @t217 () (@list false true false)) % 234.04/234.33 (define @t218 () (tptp.ssList @t196)) % 234.04/234.33 (define @t219 () (not @t1)) % 234.04/234.33 (define @t220 () (not @t215)) % 234.04/234.33 (define @t221 () (or @t220 @t219 @t218)) % 234.04/234.33 (define @t222 () (@list false false false)) % 234.04/234.33 (define @t223 () (tptp.app tptp.nil @t196)) % 234.04/234.33 (define @t224 () (= @t196 @t223)) % 234.04/234.33 (define @t225 () (not @t218)) % 234.04/234.33 (define @t226 () (or @t225 @t224)) % 234.04/234.33 (define @t227 () (tptp.skaf82 tptp.sk4)) % 234.04/234.33 (define @t228 () (tptp.skaf83 tptp.sk4)) % 234.04/234.33 (define @t229 () (@list @t228 @t227)) % 234.04/234.33 (define @t230 () (tptp.cons @t228 tptp.nil)) % 234.04/234.33 (define @t231 () (tptp.app @t230 @t227)) % 234.04/234.33 (define @t232 () (tptp.cons @t228 @t227)) % 234.04/234.33 (define @t233 () (= @t232 @t231)) % 234.04/234.33 (define @t234 () (tptp.ssList @t227)) % 234.04/234.33 (define @t235 () (not @t234)) % 234.04/234.33 (define @t236 () (tptp.ssItem @t228)) % 234.04/234.33 (define @t237 () (not @t236)) % 234.04/234.33 (define @t238 () (or @t237 @t235 @t233)) % 234.04/234.33 (define @t239 () (tptp.hd @t232)) % 234.04/234.33 (define @t240 () (= @t228 @t239)) % 234.04/234.33 (define @t241 () (or @t237 @t235 @t240)) % 234.04/234.33 (define @t242 () (tptp.tl @t232)) % 234.04/234.33 (define @t243 () (= @t227 @t242)) % 234.04/234.33 (define @t244 () (or @t237 @t235 @t243)) % 234.04/234.33 (define @t245 () (= tptp.sk4 @t232)) % 234.04/234.33 (define @t246 () (or @t207 @t245 @t212)) % 234.04/234.33 (define @t247 () (tptp.ssList @t177)) % 234.04/234.33 (define @t248 () (or @t207 @t247 @t212)) % 234.04/234.33 (define @t249 () (or @t207 @t219 @t175 (= tptp.sk4 tptp.nil))) % 234.04/234.33 (define @t250 () (forall @t41 (or @t47 @t62 @t80 @t97))) % 234.04/234.33 (define @t251 () (or @t207 @t219 @t175 @t212)) % 234.04/234.33 (define @t252 () (and @t161 @t212 @t176)) % 234.04/234.33 (define @t253 () (= tptp.sk3 @t177)) % 234.04/234.33 (define @t254 () (not @t247)) % 234.04/234.33 (define @t255 () (or @t254 @t253)) % 234.04/234.33 (define @t256 () (not (= @t177 @t177))) % 234.04/234.33 (define @t257 () (or @t254 @t253 @t256)) % 234.04/234.33 (define @t258 () (not (= @t166 @t177))) % 234.04/234.33 (define @t259 () (or @t258 @t173 @t179 @t258)) % 234.04/234.33 (define @t260 () (or @t173 @t179 @t258)) % 234.04/234.33 (define @t261 () (forall @t180 @t260)) % 234.04/234.33 (define @t262 () (or @t176 @t162 @t261)) % 234.04/234.33 (define @t263 () (or @t176 @t162 @t260)) % 234.04/234.33 (define @t264 () (or @t173 @t179 @t258 @t176 @t162)) % 234.04/234.33 (define @t265 () (= tptp.sk4 (tptp.app @t223 tptp.sk3))) % 234.04/234.33 (define @t266 () (and @t253 @t245 @t243 @t240 @t233 @t224)) % 234.04/234.33 (define @t267 () (@list false false false false false false)) % 234.04/234.33 (define @t268 () (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) % 234.04/234.33 (define @t269 () (not @t157)) % 234.04/234.33 (define @t270 () (or @t269 @t268)) % 234.04/234.33 (define @t271 () (tptp.neq @t196 tptp.nil)) % 234.04/234.33 (define @t272 () (not @t271)) % 234.04/234.33 (define @t273 () (not @t268)) % 234.04/234.33 (define @t274 () (not @t265)) % 234.04/234.33 (define @t275 () (or @t219 @t225 @t269 @t274 @t273 @t272)) % 234.04/234.33 (define @t276 () (= tptp.nil @t196)) % 234.04/234.33 (define @t277 () (not @t276)) % 234.04/234.33 (define @t278 () (or @t277 @t220 @t219)) % 234.04/234.33 (define @t279 () (or @t219 @t225 @t271 @t276)) % 234.04/234.33 (define @t280 () (not @t279)) % 234.04/234.33 (assume @p1 (tptp.equalelemsP tptp.nil)) % 234.04/234.33 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 234.04/234.33 (assume @p3 (tptp.strictorderedP tptp.nil)) % 234.04/234.33 (assume @p4 (tptp.totalorderedP tptp.nil)) % 234.04/234.33 (assume @p5 (tptp.strictorderP tptp.nil)) % 234.04/234.33 (assume @p6 (tptp.totalorderP tptp.nil)) % 234.04/234.33 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 234.04/234.33 (assume @p8 @t1) % 234.04/234.33 (assume @p9 (tptp.ssItem tptp.skac3)) % 234.04/234.33 (assume @p10 (tptp.ssItem tptp.skac2)) % 234.04/234.33 (assume @p11 (not (tptp.singletonP tptp.nil))) % 234.04/234.33 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 234.04/234.33 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 234.04/234.33 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 234.04/234.33 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 234.04/234.33 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 234.04/234.33 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 234.04/234.33 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 234.04/234.33 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 234.04/234.33 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 234.04/234.33 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 234.04/234.33 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 234.04/234.33 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 234.04/234.33 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 234.04/234.33 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 234.04/234.33 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 234.04/234.33 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 234.04/234.33 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 234.04/234.33 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 234.04/234.33 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 234.04/234.33 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 234.04/234.33 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 234.04/234.33 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 234.04/234.33 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 234.04/234.33 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 234.04/234.33 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 234.04/234.33 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 234.04/234.33 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 234.04/234.33 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 234.04/234.33 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 234.04/234.33 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 234.04/234.33 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 234.04/234.33 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 234.04/234.33 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 234.04/234.33 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 234.04/234.33 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 234.04/234.33 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 234.04/234.33 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 234.04/234.33 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 234.04/234.33 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 234.04/234.33 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 234.04/234.33 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 234.04/234.33 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 234.04/234.33 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 234.04/234.33 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 234.04/234.33 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 234.04/234.33 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 234.04/234.33 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 234.04/234.33 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 234.04/234.33 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 234.04/234.33 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 234.04/234.33 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 234.04/234.33 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 234.04/234.33 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 234.04/234.33 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 234.04/234.33 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 234.04/234.33 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 234.04/234.33 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 234.04/234.33 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 234.04/234.33 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 234.04/234.33 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 234.04/234.33 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 234.04/234.33 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 234.04/234.33 (assume @p74 @t53) % 234.04/234.33 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 234.04/234.33 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 234.04/234.33 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 234.04/234.33 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 234.04/234.33 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 234.04/234.33 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 234.04/234.33 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 234.04/234.33 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 234.04/234.33 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 234.04/234.33 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 234.04/234.33 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 234.04/234.33 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 234.04/234.33 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 234.04/234.33 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 234.04/234.33 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 234.04/234.33 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 234.04/234.33 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 234.04/234.33 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 234.04/234.33 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 234.04/234.33 (assume @p94 @t72) % 234.04/234.33 (assume @p95 @t75) % 234.04/234.33 (assume @p96 @t78) % 234.04/234.33 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 234.04/234.33 (assume @p98 @t82) % 234.04/234.33 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 234.04/234.33 (assume @p100 (forall @t41 (or @t46 @t83 @t80 @t79))) % 234.04/234.33 (assume @p101 (forall @t41 (or @t86 @t83 @t46 @t84))) % 234.04/234.33 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 234.04/234.33 (assume @p103 (forall @t41 (or @t88 @t83 @t46 @t87))) % 234.04/234.33 (assume @p104 (forall @t41 (or @t86 @t46 @t83 @t89))) % 234.04/234.33 (assume @p105 (forall @t41 (or @t91 @t83 @t46 @t90))) % 234.04/234.33 (assume @p106 (forall @t41 (or @t93 @t46 @t83 @t92))) % 234.04/234.33 (assume @p107 @t96) % 234.04/234.33 (assume @p108 (forall @t41 (or @t88 (not @t89) @t46 @t83))) % 234.04/234.33 (assume @p109 (forall @t41 (or @t98 @t86 @t83 @t46))) % 234.04/234.33 (assume @p110 (forall @t41 (or @t58 @t47 @t83 (tptp.strictorderedP @t99)))) % 234.04/234.33 (assume @p111 (forall @t41 (or @t58 @t47 @t83 (tptp.totalorderedP @t99)))) % 234.04/234.33 (assume @p112 (forall @t41 (or @t86 (not @t87) @t46 @t83))) % 234.04/234.33 (assume @p113 @t102) % 234.04/234.33 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 234.04/234.33 (assume @p115 (forall @t41 (or @t98 @t100 @t83 @t46))) % 234.04/234.33 (assume @p116 (forall @t41 (or @t105 @t62 @t47 @t54))) % 234.04/234.33 (assume @p117 (forall @t41 (or @t105 @t62 @t47 @t106))) % 234.04/234.33 (assume @p118 @t109) % 234.04/234.33 (assume @p119 (forall @t41 (or @t93 @t83 @t46 @t85 @t97))) % 234.04/234.33 (assume @p120 (forall @t41 (or @t47 @t62 @t106 (= (tptp.hd @t61) @t110)))) % 234.04/234.33 (assume @p121 (forall @t41 (or @t113 @t62 @t46 @t111 @t106))) % 234.04/234.33 (assume @p122 (forall @t41 (or @t116 @t62 @t46 @t114 @t106))) % 234.04/234.33 (assume @p123 (forall @t41 (or @t91 (not @t92) @t46 @t83 @t79))) % 234.04/234.33 (assume @p124 (forall @t41 (or @t117 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t79))) % 234.04/234.33 (assume @p125 (forall @t41 (or @t118 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t79))) % 234.04/234.33 (assume @p126 (forall @t41 (or @t119 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t79))) % 234.04/234.33 (assume @p127 (forall @t41 (or @t93 @t120 @t46 @t83 @t79))) % 234.04/234.33 (assume @p128 (forall @t41 (or @t118 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 234.04/234.33 (assume @p129 (forall @t41 (or @t119 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 234.04/234.33 (assume @p130 (forall @t41 (or @t47 @t62 @t106 (= (tptp.tl @t61) (tptp.app @t121 @t2))))) % 234.04/234.33 (assume @p131 (forall @t41 (or @t113 @t62 @t46 @t122 @t106))) % 234.04/234.33 (assume @p132 (forall @t41 (or @t116 @t62 @t46 @t123 @t106))) % 234.04/234.33 (assume @p133 (forall @t127 (or @t118 @t126 @t62 @t47 (tptp.rearsegP @t125 @t40)))) % 234.04/234.33 (assume @p134 (forall @t127 (or @t119 @t126 @t62 @t47 (tptp.frontsegP @t128 @t40)))) % 234.04/234.33 (assume @p135 (forall @t127 (or @t98 @t126 @t83 @t46 (tptp.memberP @t129 @t2)))) % 234.04/234.33 (assume @p136 (forall @t127 (or @t132 @t47 @t131 @t83 (tptp.memberP @t130 @t40)))) % 234.04/234.33 (assume @p137 (forall @t127 (or @t132 @t126 @t47 @t83 (tptp.memberP @t128 @t40)))) % 234.04/234.33 (assume @p138 (forall @t127 (or @t132 @t47 @t126 @t83 (tptp.memberP @t125 @t40)))) % 234.04/234.33 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 234.04/234.33 (assume @p140 (forall @t127 (or @t133 @t47 @t62 @t126 (tptp.rearsegP @t124 @t40)))) % 234.04/234.33 (assume @p141 (forall @t127 (or @t133 @t62 @t47 @t126 (tptp.frontsegP @t124 @t2)))) % 234.04/234.33 (assume @p142 (forall @t41 (or @t58 (not @t106) @t62 @t47 @t104))) % 234.04/234.33 (assume @p143 (forall @t127 (or @t88 (not (tptp.gt @t40 @t124)) @t131 @t83 @t46 (tptp.gt @t2 @t124)))) % 234.04/234.33 (assume @p144 (forall @t127 (or @t93 @t135 @t131 @t83 @t46 @t134))) % 234.04/234.33 (assume @p145 (forall @t127 (or @t91 (not (tptp.geq @t40 @t124)) @t131 @t83 @t46 (tptp.geq @t2 @t124)))) % 234.04/234.33 (assume @p146 (forall @t127 (or @t47 @t62 @t126 (= (tptp.app @t136 @t2) (tptp.app @t124 @t61))))) % 234.04/234.33 (assume @p147 (forall @t127 (or (not (= @t103 @t128)) @t62 @t47 @t126 @t137))) % 234.04/234.33 (assume @p148 (forall @t127 (or (not (= @t103 @t136)) @t47 @t62 @t126 @t138))) % 234.04/234.33 (assume @p149 (forall @t127 (or @t117 (not (tptp.segmentP @t40 @t124)) @t126 @t62 @t47 (tptp.segmentP @t2 @t124)))) % 234.04/234.33 (assume @p150 (forall @t127 (or @t118 (not (tptp.rearsegP @t40 @t124)) @t126 @t62 @t47 (tptp.rearsegP @t2 @t124)))) % 234.04/234.33 (assume @p151 (forall @t127 (or @t119 (not (tptp.frontsegP @t40 @t124)) @t126 @t62 @t47 (tptp.frontsegP @t2 @t124)))) % 234.04/234.33 (assume @p152 (forall @t127 (or @t86 @t135 @t131 @t83 @t46 @t134))) % 234.04/234.33 (assume @p153 (forall @t127 (or @t93 (not (tptp.leq @t40 @t124)) @t131 @t83 @t46 (tptp.leq @t2 @t124)))) % 234.04/234.33 (assume @p154 (forall @t127 (or @t46 @t62 @t126 (= (tptp.cons @t2 (tptp.app @t40 @t124)) (tptp.app @t63 @t124))))) % 234.04/234.33 (assume @p155 (forall @t127 (or (not (tptp.memberP @t103 @t124)) @t62 @t47 @t131 @t139 (tptp.memberP @t2 @t124)))) % 234.04/234.33 (assume @p156 (forall @t41 (or (not @t123) (not @t114) @t62 @t46 @t115 @t106))) % 234.04/234.33 (assume @p157 (forall @t41 (or (not @t122) (not @t111) @t62 @t46 @t112 @t106))) % 234.04/234.33 (assume @p158 (forall @t127 (or (not (tptp.memberP @t63 @t124)) @t62 @t46 @t131 @t139 (= @t124 @t2)))) % 234.04/234.33 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 234.04/234.33 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 234.04/234.33 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 234.04/234.33 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 234.04/234.33 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 234.04/234.33 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 234.04/234.33 (assume @p165 (forall @t41 (or @t117 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 234.04/234.33 (assume @p166 (forall @t41 (or @t132 @t83 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 234.04/234.33 (assume @p167 (forall @t144 (or @t143 @t131 @t46 @t141 @t62 @t138))) % 234.04/234.33 (assume @p168 (forall @t144 (or @t143 @t131 @t46 @t141 @t62 (= @t140 @t40)))) % 234.04/234.33 (assume @p169 (forall @t144 (or @t117 @t126 @t141 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t140 @t2) @t124) @t40)))) % 234.04/234.33 (assume @p170 (forall @t144 (or (not (= (tptp.app @t103 @t124) @t140)) @t126 @t47 @t62 @t141 (tptp.segmentP @t140 @t40)))) % 234.04/234.33 (assume @p171 (forall @t144 (or @t145 @t141 @t62 @t131 @t46 (tptp.frontsegP @t40 @t140)))) % 234.04/234.33 (assume @p172 (forall @t144 (or (not (= @t146 @t140)) @t126 @t47 @t83 @t141 (tptp.memberP @t140 @t40)))) % 234.04/234.33 (assume @p173 (forall @t144 (or @t145 @t141 @t62 @t131 @t46 @t138))) % 234.04/234.33 (assume @p174 (forall @t41 (or (not (= @t55 @t121)) (not (= @t56 @t110)) @t47 @t62 @t106 @t97 @t54))) % 234.04/234.33 (assume @p175 (forall @t144 (or @t119 (not (= @t124 @t140)) @t62 @t47 @t147 @t131 (tptp.frontsegP @t130 (tptp.cons @t140 @t40))))) % 234.04/234.33 (assume @p176 (forall @t150 (or (not (= (tptp.app @t146 (tptp.cons @t40 @t140)) @t148)) @t141 @t126 @t47 @t83 (not (tptp.duplicatefreeP @t148)) @t149))) % 234.04/234.33 (assume @p177 (forall @t150 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t142)) @t148)) @t141 @t47 @t131 @t83 (not (tptp.equalelemsP @t148)) @t149 @t137))) % 234.04/234.33 (assume @p178 (forall @t155 (or @t154 @t149 @t126 @t47 @t147 @t83 (not (tptp.strictorderedP @t152)) @t153 @t151))) % 234.04/234.33 (assume @p179 (forall @t155 (or @t154 @t149 @t126 @t47 @t147 @t83 (not (tptp.totalorderedP @t152)) @t153 @t156))) % 234.04/234.33 (assume @p180 (forall @t155 (or @t154 @t149 @t126 @t47 @t147 @t83 (not (tptp.strictorderP @t152)) @t153 @t151 (tptp.lt @t140 @t40)))) % 234.04/234.33 (assume @p181 (forall @t155 (or @t154 @t149 @t126 @t47 @t147 @t83 (not (tptp.totalorderP @t152)) @t153 @t156 (tptp.leq @t140 @t40)))) % 234.04/234.33 (assume @p182 (forall @t155 (or @t93 @t120 (not (= (tptp.app (tptp.app @t124 (tptp.cons @t2 @t140)) (tptp.cons @t40 @t148)) @t152)) @t149 @t141 @t126 @t83 @t46 (not (tptp.cyclefreeP @t152)) @t153))) % 234.04/234.33 (assume @p183 (tptp.ssList tptp.sk1)) % 234.04/234.33 (assume @p184 (tptp.ssList tptp.sk2)) % 234.04/234.33 (assume @p185 @t157) % 234.04/234.33 (assume @p186 @t158) % 234.04/234.33 (assume @p187 (= tptp.sk2 tptp.sk4)) % 234.04/234.33 (assume @p188 (= tptp.sk1 tptp.sk3)) % 234.04/234.33 (assume @p189 @t160) % 234.04/234.33 (assume @p190 (or @t159 @t162)) % 234.04/234.33 (assume @p191 (forall @t174 (or @t173 @t172 @t171 @t170 @t168 @t164 @t159))) % 234.04/234.33 (assume @p192 (forall @t180 (or @t173 @t179 @t178 @t176 @t159))) % 234.04/234.33 (assume @p193 @t182) % 234.04/234.33 (assume @p194 @t184) % 234.04/234.33 (step @p195 :rule eq-symm :args (@t40 @t2)) % 234.04/234.33 (step @p196 :rule refl :args (@t80)) % 234.04/234.33 (step @p197 :rule refl :args (@t62)) % 234.04/234.33 (step @p198 :rule refl :args (@t47)) % 234.04/234.33 (step @p199 :rule nary_cong :premises (@p198 @p197 @p196 @p195) :args (@t81)) % 234.04/234.33 (step @p200 :rule cong :premises (@p199) :args (@t82)) % 234.04/234.33 (step @p201 :rule eq_resolve :premises (@p98 @p200)) % 234.04/234.33 (step @p202 :rule refl :args (tptp.nil)) % 234.04/234.33 (step @p203 :rule cong :premises (@p187 @p202) :args (@t159)) % 234.04/234.33 (step @p204 :rule aci_norm :args ((= @t160 @t159))) % 234.04/234.33 (step @p205 :rule trans :premises (@p204 @p203)) % 234.04/234.33 (step @p206 :rule eq_resolve :premises (@p189 @p205)) % 234.04/234.33 (step @p207 :rule refl :args (@t164)) % 234.04/234.33 (step @p208 :rule refl :args (@t167)) % 234.04/234.33 (step @p209 :rule cong :premises (@p188 @p208) :args (@t185)) % 234.04/234.33 (step @p210 :rule cong :premises (@p209) :args (@t186)) % 234.04/234.33 (step @p211 :rule refl :args (@t169)) % 234.04/234.33 (step @p212 :rule cong :premises (@p187 @p211) :args (@t187)) % 234.04/234.33 (step @p213 :rule cong :premises (@p212) :args (@t188)) % 234.04/234.33 (step @p214 :rule refl :args (@t171)) % 234.04/234.33 (step @p215 :rule refl :args (@t172)) % 234.04/234.33 (step @p216 :rule refl :args (@t173)) % 234.04/234.33 (step @p217 :rule nary_cong :premises (@p216 @p215 @p214 @p213 @p210 @p207) :args (@t189)) % 234.04/234.33 (step @p218 :rule cong :premises (@p217) :args (@t190)) % 234.04/234.33 (step @p219 :rule refl :args (@t162)) % 234.04/234.33 (step @p220 :rule nary_cong :premises (@p219 @p218) :args (@t191)) % 234.04/234.33 (step @p221 :rule quant-miniscope-or :args ((= (forall @t174 @t192) @t191))) % 234.04/234.33 (step @p222 :rule aci_norm :args ((= @t193 @t192))) % 234.04/234.33 (step @p223 :rule cong :premises (@p222) :args ((forall @t174 @t193))) % 234.04/234.33 (step @p224 :rule trans :premises (@p223 @p221)) % 234.04/234.33 (step @p225 :rule eq-symm :args (@t167 tptp.sk1)) % 234.04/234.33 (step @p226 :rule cong :premises (@p225) :args (@t168)) % 234.04/234.33 (step @p227 :rule eq-symm :args (@t169 tptp.sk2)) % 234.04/234.33 (step @p228 :rule cong :premises (@p227) :args (@t170)) % 234.04/234.33 (step @p229 :rule nary_cong :premises (@p216 @p215 @p214 @p228 @p226 @p207 @p219) :args (@t181)) % 234.04/234.33 (step @p230 :rule cong :premises (@p229) :args (@t182)) % 234.04/234.33 (step @p231 :rule trans :premises (@p230 @p224)) % 234.04/234.33 (step @p232 :rule trans :premises (@p231 @p220)) % 234.04/234.33 (step @p233 :rule eq_resolve :premises (@p193 @p232)) % 234.04/234.33 (step @p234 :rule chain_m_resolution :premises (@p233 @p206) :args ((forall @t174 (or @t173 @t172 @t171 (not (= tptp.sk4 @t169)) (not (= tptp.sk3 @t167)) @t164)) @t194 (@list @t161))) % 234.04/234.33 (step @p235 :rule instantiate :premises (@p234) :args ((@list tptp.nil @t196 tptp.sk3))) % 234.04/234.33 (step @p236 :rule eq-symm :args (@t51 @t2)) % 234.04/234.33 (step @p237 :rule nary_cong :premises (@p198 @p236) :args (@t52)) % 234.04/234.33 (step @p238 :rule cong :premises (@p237) :args (@t53)) % 234.04/234.33 (step @p239 :rule eq_resolve :premises (@p74 @p238)) % 234.04/234.33 (step @p240 :rule instantiate :premises (@p239) :args ((@list @t196))) % 234.04/234.33 (step @p241 :rule instantiate :premises (@p84) :args (@t197)) % 234.04/234.33 (step @p242 :rule instantiate :premises (@p76) :args (@t198)) % 234.04/234.33 (step @p243 :rule aci_norm :args ((= (or false @t199 @t62 @t62) (or @t199 @t62)))) % 234.04/234.33 (step @p244 :rule refl :args (@t199)) % 234.04/234.33 (step @p245 :rule evaluate :args ((not true))) % 234.04/234.33 (step @p246 :rule eq-refl :args (@t40)) % 234.04/234.33 (step @p247 :rule cong :premises (@p246) :args (@t200)) % 234.04/234.33 (step @p248 :rule trans :premises (@p247 @p245)) % 234.04/234.33 (step @p249 :rule nary_cong :premises (@p248 @p244 @p197 @p197) :args (@t201)) % 234.04/234.33 (step @p250 :rule trans :premises (@p249 @p243)) % 234.04/234.33 (step @p251 :rule cong :premises (@p250) :args ((forall @t202 @t201))) % 234.04/234.33 (step @p252 :rule quant-var-elim-eq :args ((= (forall @t4 @t203) @t201))) % 234.04/234.33 (step @p253 :rule aci_norm :args ((= @t101 @t203))) % 234.04/234.33 (step @p254 :rule cong :premises (@p253) :args (@t204)) % 234.04/234.33 (step @p255 :rule trans :premises (@p254 @p252)) % 234.04/234.33 (step @p256 :rule cong :premises (@p255) :args (@t205)) % 234.04/234.33 (step @p257 :rule quant-merge-prenex :args ((= @t205 @t206))) % 234.04/234.33 (step @p258 :rule symm :premises (@p257)) % 234.04/234.33 (step @p259 :rule quant_var_reordering :args ((= @t102 @t206))) % 234.04/234.33 (step @p260 :rule trans :premises (@p259 @p258 @p256)) % 234.04/234.33 (step @p261 :rule trans :premises (@p260 @p251)) % 234.04/234.33 (step @p262 :rule eq_resolve :premises (@p113 @p261)) % 234.04/234.33 (step @p263 :rule instantiate :premises (@p262) :args (@t198)) % 234.04/234.33 (step @p264 :rule cnf_or_pos :args (@t210)) % 234.04/234.33 (step @p265 :rule reordering :premises (@p264) :args ((or @t207 @t209 (not @t210)))) % 234.04/234.33 (step @p266 :rule chain_m_resolution :premises (@p265 @p186 @p263) :args (@t209 @t211 (@list @t158 @t210))) % 234.04/234.33 (step @p267 :rule bool-double-not-elim :args (@t208)) % 234.04/234.33 (step @p268 :rule refl :args (@t213)) % 234.04/234.33 (step @p269 :rule nary_cong :premises (@p219 @p268 @p267) :args ((or @t162 @t213 (not @t209)))) % 234.04/234.33 (assume-push @p480 @t161) % 234.04/234.33 (assume-push @p481 @t212) % 234.04/234.33 (assume-push @p482 @t209) % 234.04/234.33 (step @p273 :rule evaluate :args (@t214)) % 234.04/234.33 (step @p274 :rule true_intro :premises (@p206)) % 234.04/234.33 (step @p275 :rule symm :premises (@p481)) % 234.04/234.33 (step @p276 :rule refl :args (tptp.sk4)) % 234.04/234.33 (step @p277 :rule cong :premises (@p276 @p275) :args (@t208)) % 234.04/234.33 (step @p278 :rule false_intro :premises (@p266)) % 234.04/234.33 (step @p279 :rule symm :premises (@p278)) % 234.04/234.33 (step @p280 :rule trans :premises (@p279 @p277 @p274)) % 234.04/234.33 (step @p281 false :rule eq_resolve :premises (@p280 @p273)) % 234.04/234.33 (step-pop @p483 :rule scope :premises (@p281)) % 234.04/234.33 (step-pop @p484 :rule scope :premises (@p483)) % 234.04/234.33 (step-pop @p485 :rule scope :premises (@p484)) % 234.04/234.33 (step @p282 :rule process_scope :premises (@p485) :args (false)) % 234.04/234.33 (step @p286 :rule not_and :premises (@p282)) % 234.04/234.33 (step @p287 :rule eq_resolve :premises (@p286 @p269)) % 234.04/234.33 (step @p288 :rule chain_m_resolution :premises (@p287 @p206 @p266) :args (@t213 (@list false true) (@list @t161 @t208))) % 234.04/234.33 (step @p289 :rule cnf_or_pos :args (@t216)) % 234.04/234.33 (step @p290 :rule reordering :premises (@p289) :args ((or @t207 @t212 @t215 (not @t216)))) % 234.04/234.33 (step @p291 :rule chain_m_resolution :premises (@p290 @p186 @p288 @p242) :args (@t215 @t217 (@list @t158 @t212 @t216))) % 234.04/234.33 (step @p292 :rule cnf_or_pos :args (@t221)) % 234.04/234.33 (step @p293 :rule reordering :premises (@p292) :args ((or @t219 @t220 @t218 (not @t221)))) % 234.04/234.33 (step @p294 :rule chain_m_resolution :premises (@p293 @p8 @p291 @p241) :args (@t218 @t222 (@list @t1 @t215 @t221))) % 234.04/234.33 (step @p295 :rule cnf_or_pos :args (@t226)) % 234.04/234.33 (step @p296 :rule reordering :premises (@p295) :args ((or @t225 @t224 (not @t226)))) % 234.04/234.33 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p240) :args (@t224 @t211 (@list @t218 @t226))) % 234.04/234.33 (step @p298 :rule eq-symm :args (@t107 @t63)) % 234.04/234.33 (step @p299 :rule refl :args (@t46)) % 234.04/234.33 (step @p300 :rule nary_cong :premises (@p299 @p197 @p298) :args (@t108)) % 234.04/234.33 (step @p301 :rule cong :premises (@p300) :args (@t109)) % 234.04/234.33 (step @p302 :rule eq_resolve :premises (@p118 @p301)) % 234.04/234.33 (step @p303 :rule instantiate :premises (@p302) :args (@t229)) % 234.04/234.33 (step @p304 :rule instantiate :premises (@p13) :args (@t198)) % 234.04/234.33 (step @p305 :rule instantiate :premises (@p12) :args (@t198)) % 234.04/234.33 (step @p306 :rule cnf_or_pos :args (@t238)) % 234.04/234.33 (step @p307 :rule reordering :premises (@p306) :args ((or @t237 @t235 @t233 (not @t238)))) % 234.04/234.33 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p304 @p303) :args (@t233 @t222 (@list @t236 @t234 @t238))) % 234.04/234.33 (step @p309 :rule eq-symm :args (@t73 @t2)) % 234.04/234.33 (step @p310 :rule nary_cong :premises (@p299 @p197 @p309) :args (@t74)) % 234.04/234.33 (step @p311 :rule cong :premises (@p310) :args (@t75)) % 234.04/234.33 (step @p312 :rule eq_resolve :premises (@p95 @p311)) % 234.04/234.33 (step @p313 :rule instantiate :premises (@p312) :args (@t229)) % 234.04/234.33 (step @p314 :rule cnf_or_pos :args (@t241)) % 234.04/234.33 (step @p315 :rule reordering :premises (@p314) :args ((or @t237 @t235 @t240 (not @t241)))) % 234.04/234.33 (step @p316 :rule chain_m_resolution :premises (@p315 @p305 @p304 @p313) :args (@t240 @t222 (@list @t236 @t234 @t241))) % 234.04/234.33 (step @p317 :rule eq-symm :args (@t70 @t40)) % 234.04/234.33 (step @p318 :rule nary_cong :premises (@p299 @p197 @p317) :args (@t71)) % 234.04/234.33 (step @p319 :rule cong :premises (@p318) :args (@t72)) % 234.04/234.33 (step @p320 :rule eq_resolve :premises (@p94 @p319)) % 234.04/234.33 (step @p321 :rule instantiate :premises (@p320) :args (@t229)) % 234.04/234.33 (step @p322 :rule cnf_or_pos :args (@t244)) % 234.04/234.33 (step @p323 :rule reordering :premises (@p322) :args ((or @t237 @t235 @t243 (not @t244)))) % 234.04/234.33 (step @p324 :rule chain_m_resolution :premises (@p323 @p305 @p304 @p321) :args (@t243 @t222 (@list @t236 @t234 @t244))) % 234.04/234.33 (step @p325 :rule refl :args (@t54)) % 234.04/234.33 (step @p326 :rule eq-symm :args (@t94 @t2)) % 234.04/234.33 (step @p327 :rule nary_cong :premises (@p198 @p326 @p325) :args (@t95)) % 234.04/234.33 (step @p328 :rule cong :premises (@p327) :args (@t96)) % 234.04/234.33 (step @p329 :rule eq_resolve :premises (@p107 @p328)) % 234.04/234.33 (step @p330 :rule instantiate :premises (@p329) :args (@t198)) % 234.04/234.33 (step @p331 :rule cnf_or_pos :args (@t246)) % 234.04/234.33 (step @p332 :rule reordering :premises (@p331) :args ((or @t207 @t212 @t245 (not @t246)))) % 234.04/234.33 (step @p333 :rule chain_m_resolution :premises (@p332 @p186 @p288 @p330) :args (@t245 @t217 (@list @t158 @t212 @t246))) % 234.04/234.33 (step @p334 :rule instantiate :premises (@p75) :args (@t198)) % 234.04/234.33 (step @p335 :rule cnf_or_pos :args (@t248)) % 234.04/234.33 (step @p336 :rule reordering :premises (@p335) :args ((or @t247 @t207 @t212 (not @t248)))) % 234.04/234.33 (step @p337 :rule chain_m_resolution :premises (@p336 @p186 @p288 @p334) :args (@t247 @t217 (@list @t158 @t212 @t248))) % 234.04/234.33 (step @p338 :rule eq-symm :args (tptp.sk4 tptp.nil)) % 234.04/234.33 (step @p339 :rule refl :args (@t175)) % 234.04/234.33 (step @p340 :rule refl :args (@t219)) % 234.04/234.33 (step @p341 :rule refl :args (@t207)) % 234.04/234.33 (step @p342 :rule nary_cong :premises (@p341 @p340 @p339 @p338) :args (@t249)) % 234.04/234.33 (step @p343 :rule refl :args (@t250)) % 234.04/234.33 (step @p344 :rule cong :premises (@p343 @p342) :args ((=> @t250 @t249))) % 234.04/234.33 (assume-push @p486 @t250) % 234.04/234.33 (step @p346 :rule instantiate :premises (@p201) :args ((@list tptp.sk4 tptp.nil))) % 234.04/234.33 (step-pop @p487 :rule scope :premises (@p346)) % 234.04/234.33 (step @p347 :rule process_scope :premises (@p487) :args (@t249)) % 234.04/234.33 (step @p349 :rule eq_resolve :premises (@p347 @p344)) % 234.04/234.33 (step @p350 :rule implies_elim :premises (@p349)) % 234.04/234.33 (step @p351 :rule chain_m_resolution :premises (@p350 @p201) :args (@t251 @t194 (@list @t250))) % 234.04/234.33 (step @p352 :rule cnf_or_pos :args (@t251)) % 234.04/234.33 (step @p353 :rule reordering :premises (@p352) :args ((or @t175 @t219 @t207 @t212 (not @t251)))) % 234.04/234.33 (step @p354 :rule bool-double-not-elim :args (@t175)) % 234.04/234.33 (step @p355 :rule nary_cong :premises (@p219 @p354 @p268) :args ((or @t162 (not @t176) @t213))) % 234.04/234.33 (assume-push @p488 @t161) % 234.04/234.33 (assume-push @p489 @t212) % 234.04/234.33 (assume-push @p490 @t176) % 234.04/234.33 (step @p273 :rule evaluate :args (@t214)) % 234.04/234.33 (step @p274 :rule true_intro :premises (@p206)) % 234.04/234.33 (step @p359 :rule symm :premises (@p489)) % 234.04/234.33 (step @p360 :rule cong :premises (@p489 @p359) :args (@t175)) % 234.04/234.33 (step @p361 :rule false_intro :premises (@p490)) % 234.04/234.33 (step @p362 :rule symm :premises (@p361)) % 234.04/234.33 (step @p363 :rule trans :premises (@p362 @p360 @p274)) % 234.04/234.33 (step @p364 false :rule eq_resolve :premises (@p363 @p273)) % 234.04/234.33 (step-pop @p491 :rule scope :premises (@p364)) % 234.04/234.33 (step-pop @p492 :rule scope :premises (@p491)) % 234.04/234.33 (step-pop @p493 :rule scope :premises (@p492)) % 234.04/234.33 (step @p365 :rule process_scope :premises (@p493) :args (false)) % 234.04/234.33 (assume-push @p494 @t161) % 234.04/234.33 (assume-push @p495 @t176) % 234.04/234.33 (assume-push @p496 @t212) % 234.04/234.33 (step @p372 :rule and_intro :premises (@p206 @p496 @p495)) % 234.04/234.33 (step-pop @p497 :rule scope :premises (@p372)) % 234.04/234.33 (step-pop @p498 :rule scope :premises (@p497)) % 234.04/234.33 (step-pop @p499 :rule scope :premises (@p498)) % 234.04/234.33 (step @p373 :rule process_scope :premises (@p499) :args (@t252)) % 234.04/234.33 (step @p377 :rule implies_elim :premises (@p373)) % 234.04/234.33 (step @p378 :rule resolution :premises (@p377 @p365) :args (true @t252)) % 234.04/234.33 (step @p379 :rule not_and :premises (@p378)) % 234.04/234.33 (step @p380 :rule eq_resolve :premises (@p379 @p355)) % 234.04/234.33 (step @p381 :rule chain_m_resolution :premises (@p380 @p206 @p353 @p351 @p186 @p8) :args (@t175 (@list false false false false false) (@list @t161 @t212 @t251 @t158 @t1))) % 234.04/234.33 (step @p382 :rule aci_norm :args ((= (or @t176 @t162 @t255) (or @t176 @t162 @t254 @t253)))) % 234.04/234.33 (step @p383 :rule aci_norm :args ((= (or @t254 @t253 false) @t255))) % 234.04/234.33 (step @p384 :rule eq-refl :args (@t177)) % 234.04/234.33 (step @p385 :rule cong :premises (@p384) :args (@t256)) % 234.04/234.33 (step @p386 :rule trans :premises (@p385 @p245)) % 234.04/234.33 (step @p387 :rule refl :args (@t253)) % 234.04/234.33 (step @p388 :rule refl :args (@t254)) % 234.04/234.33 (step @p389 :rule nary_cong :premises (@p388 @p387 @p386) :args (@t257)) % 234.04/234.33 (step @p390 :rule trans :premises (@p389 @p383)) % 234.04/234.33 (step @p391 :rule quant-var-elim-eq :args ((= (forall @t180 @t259) @t257))) % 234.04/234.33 (step @p392 :rule aci_norm :args ((= @t260 @t259))) % 234.04/234.33 (step @p393 :rule cong :premises (@p392) :args (@t261)) % 234.04/234.33 (step @p394 :rule trans :premises (@p393 @p391)) % 234.04/234.33 (step @p395 :rule trans :premises (@p394 @p390)) % 234.04/234.33 (step @p396 :rule refl :args (@t176)) % 234.04/234.33 (step @p397 :rule nary_cong :premises (@p396 @p219 @p395) :args (@t262)) % 234.04/234.33 (step @p398 :rule trans :premises (@p397 @p382)) % 234.04/234.33 (step @p399 :rule quant-miniscope-or :args ((= (forall @t180 @t263) @t262))) % 234.04/234.33 (step @p400 :rule aci_norm :args ((= @t264 @t263))) % 234.04/234.33 (step @p401 :rule cong :premises (@p400) :args ((forall @t180 @t264))) % 234.04/234.33 (step @p402 :rule trans :premises (@p401 @p399)) % 234.04/234.33 (step @p403 :rule trans :premises (@p402 @p398)) % 234.04/234.33 (step @p404 :rule eq-symm :args (@t177 @t166)) % 234.04/234.33 (step @p405 :rule cong :premises (@p404) :args (@t178)) % 234.04/234.33 (step @p406 :rule refl :args (@t179)) % 234.04/234.33 (step @p407 :rule nary_cong :premises (@p216 @p406 @p405 @p396 @p219) :args (@t183)) % 234.04/234.33 (step @p408 :rule cong :premises (@p407) :args (@t184)) % 234.04/234.33 (step @p409 :rule trans :premises (@p408 @p403)) % 234.04/234.33 (step @p410 :rule eq_resolve :premises (@p194 @p409)) % 234.04/234.33 (step @p411 :rule reordering :premises (@p410) :args ((or @t162 @t176 @t254 @t253))) % 234.04/234.33 (step @p412 :rule chain_m_resolution :premises (@p411 @p206 @p381 @p337) :args (@t253 @t222 (@list @t161 @t175 @t247))) % 234.04/234.33 (assume-push @p500 @t253) % 234.04/234.33 (assume-push @p501 @t245) % 234.04/234.33 (assume-push @p502 @t243) % 234.04/234.33 (assume-push @p503 @t240) % 234.04/234.33 (assume-push @p504 @t233) % 234.04/234.33 (assume-push @p505 @t224) % 234.04/234.33 (assume-push @p506 @t224) % 234.04/234.33 (assume-push @p507 @t245) % 234.04/234.33 (assume-push @p508 @t240) % 234.04/234.33 (assume-push @p509 @t253) % 234.04/234.33 (assume-push @p510 @t243) % 234.04/234.33 (assume-push @p511 @t233) % 234.04/234.33 (step @p425 :rule symm :premises (@p500)) % 234.04/234.33 (step @p426 :rule cong :premises (@p505 @p425) :args ((tptp.app @t196 @t177))) % 234.04/234.33 (step @p427 :rule symm :premises (@p501)) % 234.04/234.33 (step @p428 :rule cong :premises (@p427) :args (@t242)) % 234.04/234.33 (step @p429 :rule trans :premises (@p324 @p428)) % 234.04/234.33 (step @p430 :rule cong :premises (@p427) :args (@t239)) % 234.04/234.33 (step @p431 :rule trans :premises (@p316 @p430)) % 234.04/234.33 (step @p432 :rule cong :premises (@p431 @p202) :args (@t230)) % 234.04/234.33 (step @p433 :rule cong :premises (@p432 @p429) :args (@t231)) % 234.04/234.33 (step @p434 :rule trans :premises (@p501 @p308 @p433 @p426)) % 234.04/234.33 (step-pop @p512 :rule scope :premises (@p434)) % 234.04/234.33 (step-pop @p513 :rule scope :premises (@p512)) % 234.04/234.33 (step-pop @p514 :rule scope :premises (@p513)) % 234.04/234.33 (step-pop @p515 :rule scope :premises (@p514)) % 234.04/234.33 (step-pop @p516 :rule scope :premises (@p515)) % 234.04/234.33 (step-pop @p517 :rule scope :premises (@p516)) % 234.04/234.33 (step @p435 :rule process_scope :premises (@p517) :args (@t265)) % 234.04/234.33 (step @p442 :rule and_intro :premises (@p505 @p501 @p316 @p500 @p324 @p308)) % 234.04/234.33 (step @p443 :rule modus_ponens :premises (@p442 @p435)) % 234.04/234.33 (step-pop @p518 :rule scope :premises (@p443)) % 234.04/234.33 (step-pop @p519 :rule scope :premises (@p518)) % 234.04/234.33 (step-pop @p520 :rule scope :premises (@p519)) % 234.04/234.33 (step-pop @p521 :rule scope :premises (@p520)) % 234.04/234.33 (step-pop @p522 :rule scope :premises (@p521)) % 234.04/234.33 (step-pop @p523 :rule scope :premises (@p522)) % 234.04/234.33 (step @p444 :rule process_scope :premises (@p523) :args (@t265)) % 234.04/234.33 (step @p451 :rule implies_elim :premises (@p444)) % 234.04/234.33 (step @p452 :rule cnf_and_neg :args (@t266)) % 234.04/234.33 (step @p453 :rule resolution :premises (@p452 @p451) :args (true @t266)) % 234.04/234.33 (step @p454 :rule chain_m_resolution :premises (@p453 @p412 @p333 @p324 @p316 @p308 @p297) :args (@t265 @t267 (@list @t253 @t245 @t243 @t240 @t233 @t224))) % 234.04/234.33 (step @p455 :rule instantiate :premises (@p239) :args ((@list tptp.sk3))) % 234.04/234.33 (step @p456 :rule cnf_or_pos :args (@t270)) % 234.04/234.33 (step @p457 :rule reordering :premises (@p456) :args ((or @t269 @t268 (not @t270)))) % 234.04/234.33 (step @p458 :rule chain_m_resolution :premises (@p457 @p185 @p455) :args (@t268 @t211 (@list @t157 @t270))) % 234.04/234.33 (step @p459 :rule cnf_or_pos :args (@t275)) % 234.04/234.33 (step @p460 :rule reordering :premises (@p459) :args ((or @t219 @t269 @t273 @t225 @t274 @t272 (not @t275)))) % 234.04/234.33 (step @p461 :rule chain_m_resolution :premises (@p460 @p8 @p185 @p458 @p294 @p454 @p235) :args (@t272 @t267 (@list @t1 @t157 @t268 @t218 @t265 @t275))) % 234.04/234.33 (step @p462 :rule eq-symm :args (@t63 tptp.nil)) % 234.04/234.33 (step @p463 :rule cong :premises (@p462) :args (@t76)) % 234.04/234.33 (step @p464 :rule nary_cong :premises (@p463 @p299 @p197) :args (@t77)) % 234.04/234.33 (step @p465 :rule cong :premises (@p464) :args (@t78)) % 234.04/234.33 (step @p466 :rule eq_resolve :premises (@p96 @p465)) % 234.04/234.33 (step @p467 :rule instantiate :premises (@p466) :args (@t197)) % 234.04/234.33 (step @p468 :rule cnf_or_pos :args (@t278)) % 234.04/234.33 (step @p469 :rule reordering :premises (@p468) :args ((or @t219 @t220 @t277 (not @t278)))) % 234.04/234.33 (step @p470 :rule chain_m_resolution :premises (@p469 @p8 @p291 @p467) :args (@t277 @t222 (@list @t1 @t215 @t278))) % 234.04/234.33 (step @p471 :rule cnf_or_pos :args (@t279)) % 234.04/234.33 (step @p472 :rule reordering :premises (@p471) :args ((or @t219 @t225 @t276 @t271 @t280))) % 234.04/234.33 (step @p473 :rule chain_m_resolution :premises (@p472 @p8 @p294 @p470 @p461) :args (@t280 (@list false false true true) (@list @t1 @t218 @t276 @t271))) % 234.04/234.33 (assume-push @p524 @t250) % 234.04/234.33 (step @p475 :rule instantiate :premises (@p201) :args ((@list tptp.nil @t196))) % 234.04/234.33 (step-pop @p525 :rule scope :premises (@p475)) % 234.04/234.33 (step @p476 :rule process_scope :premises (@p525) :args (@t279)) % 234.04/234.33 (step @p478 :rule implies_elim :premises (@p476)) % 234.04/234.33 (step @p479 false :rule chain_m_resolution :premises (@p478 @p473 @p201) :args (false (@list true false) (@list @t279 @t250))) % 234.04/234.33 ) % 234.04/234.34 % SZS output end Proof % 234.04/234.34 % cvc5 exiting %------------------------------------------------------------------------------