%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC222-1 : 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 : n018.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 08:58:30 AM UTC 2026 % Result : Unsatisfiable 239.54s 239.81s % Output : Proof 239.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC222-1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.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 19:26:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.52/15.78 --- Run --no-e-matching --full-saturate-quant at 6... % 21.62/21.82 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.64/27.86 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.74/33.93 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.84/64.10 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.94/79.16 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 78.99/112.30 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.08/127.38 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.16/157.47 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.28/172.56 --- Run --relevant-triggers --full-saturate-quant at 30... % 202.36/202.65 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 202.43/217.92 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 232.65/233.00 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 239.54/239.81 % SZS status Unsatisfiable % 239.54/239.81 % SZS output start Proof % 239.54/239.84 ( % 239.54/239.84 (declare-sort $$unsorted 0) % 239.54/239.84 (declare-const tptp.sk8 $$unsorted) % 239.54/239.84 (declare-const tptp.sk7 $$unsorted) % 239.54/239.84 (declare-const tptp.sk6 $$unsorted) % 239.54/239.84 (declare-const tptp.sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.sk4 $$unsorted) % 239.54/239.84 (declare-const tptp.sk2 $$unsorted) % 239.54/239.84 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.nil $$unsorted) % 239.54/239.84 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.sk1 $$unsorted) % 239.54/239.84 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.skac2 $$unsorted) % 239.54/239.84 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.sk3 $$unsorted) % 239.54/239.84 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.ssList (-> $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skac3 $$unsorted) % 239.54/239.84 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 239.54/239.84 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 239.54/239.84 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 239.54/239.84 (define @t1 () (tptp.ssList tptp.nil)) % 239.54/239.84 (define @t2 () (@var "U" $$unsorted)) % 239.54/239.84 (define @t3 () (tptp.skaf83 @t2)) % 239.54/239.84 (define @t4 () (@list @t2)) % 239.54/239.84 (define @t5 () (tptp.skaf82 @t2)) % 239.54/239.84 (define @t6 () (tptp.skaf81 @t2)) % 239.54/239.84 (define @t7 () (tptp.skaf80 @t2)) % 239.54/239.84 (define @t8 () (tptp.skaf79 @t2)) % 239.54/239.84 (define @t9 () (tptp.skaf78 @t2)) % 239.54/239.84 (define @t10 () (tptp.skaf77 @t2)) % 239.54/239.84 (define @t11 () (tptp.skaf76 @t2)) % 239.54/239.84 (define @t12 () (tptp.skaf75 @t2)) % 239.54/239.84 (define @t13 () (tptp.skaf74 @t2)) % 239.54/239.84 (define @t14 () (tptp.skaf73 @t2)) % 239.54/239.84 (define @t15 () (tptp.skaf72 @t2)) % 239.54/239.84 (define @t16 () (tptp.skaf71 @t2)) % 239.54/239.84 (define @t17 () (tptp.skaf70 @t2)) % 239.54/239.84 (define @t18 () (tptp.skaf69 @t2)) % 239.54/239.84 (define @t19 () (tptp.skaf68 @t2)) % 239.54/239.84 (define @t20 () (tptp.skaf67 @t2)) % 239.54/239.84 (define @t21 () (tptp.skaf66 @t2)) % 239.54/239.84 (define @t22 () (tptp.skaf65 @t2)) % 239.54/239.84 (define @t23 () (tptp.skaf64 @t2)) % 239.54/239.84 (define @t24 () (tptp.skaf63 @t2)) % 239.54/239.84 (define @t25 () (tptp.skaf62 @t2)) % 239.54/239.84 (define @t26 () (tptp.skaf61 @t2)) % 239.54/239.84 (define @t27 () (tptp.skaf60 @t2)) % 239.54/239.84 (define @t28 () (tptp.skaf59 @t2)) % 239.54/239.84 (define @t29 () (tptp.skaf58 @t2)) % 239.54/239.84 (define @t30 () (tptp.skaf57 @t2)) % 239.54/239.84 (define @t31 () (tptp.skaf56 @t2)) % 239.54/239.84 (define @t32 () (tptp.skaf55 @t2)) % 239.54/239.84 (define @t33 () (tptp.skaf54 @t2)) % 239.54/239.84 (define @t34 () (tptp.skaf53 @t2)) % 239.54/239.84 (define @t35 () (tptp.skaf52 @t2)) % 239.54/239.84 (define @t36 () (tptp.skaf51 @t2)) % 239.54/239.84 (define @t37 () (tptp.skaf50 @t2)) % 239.54/239.84 (define @t38 () (tptp.skaf49 @t2)) % 239.54/239.84 (define @t39 () (tptp.skaf44 @t2)) % 239.54/239.84 (define @t40 () (@var "V" $$unsorted)) % 239.54/239.84 (define @t41 () (@list @t2 @t40)) % 239.54/239.84 (define @t42 () (tptp.skaf47 @t2 @t40)) % 239.54/239.84 (define @t43 () (tptp.skaf46 @t2 @t40)) % 239.54/239.84 (define @t44 () (tptp.skaf45 @t2 @t40)) % 239.54/239.84 (define @t45 () (tptp.skaf42 @t2 @t40)) % 239.54/239.84 (define @t46 () (not (tptp.ssItem @t2))) % 239.54/239.84 (define @t47 () (not (tptp.ssList @t2))) % 239.54/239.84 (define @t48 () (tptp.cons @t2 tptp.nil)) % 239.54/239.84 (define @t49 () (tptp.ssItem @t40)) % 239.54/239.84 (define @t50 () (tptp.duplicatefreeP @t2)) % 239.54/239.84 (define @t51 () (tptp.app @t2 tptp.nil)) % 239.54/239.84 (define @t52 () (or @t47 (= @t51 @t2))) % 239.54/239.84 (define @t53 () (forall @t4 @t52)) % 239.54/239.84 (define @t54 () (tptp.app tptp.nil @t2)) % 239.54/239.84 (define @t55 () (or @t47 (= @t54 @t2))) % 239.54/239.84 (define @t56 () (forall @t4 @t55)) % 239.54/239.84 (define @t57 () (= tptp.nil @t2)) % 239.54/239.84 (define @t58 () (tptp.tl @t2)) % 239.54/239.84 (define @t59 () (tptp.hd @t2)) % 239.54/239.84 (define @t60 () (tptp.segmentP tptp.nil @t2)) % 239.54/239.84 (define @t61 () (not @t57)) % 239.54/239.84 (define @t62 () (tptp.rearsegP tptp.nil @t2)) % 239.54/239.84 (define @t63 () (tptp.frontsegP tptp.nil @t2)) % 239.54/239.84 (define @t64 () (tptp.app @t40 @t2)) % 239.54/239.84 (define @t65 () (not (tptp.ssList @t40))) % 239.54/239.84 (define @t66 () (tptp.cons @t2 @t40)) % 239.54/239.84 (define @t67 () (tptp.cyclefreeP @t2)) % 239.54/239.84 (define @t68 () (tptp.equalelemsP @t2)) % 239.54/239.84 (define @t69 () (tptp.strictorderedP @t2)) % 239.54/239.84 (define @t70 () (tptp.totalorderedP @t2)) % 239.54/239.84 (define @t71 () (tptp.strictorderP @t2)) % 239.54/239.84 (define @t72 () (tptp.totalorderP @t2)) % 239.54/239.84 (define @t73 () (tptp.tl @t66)) % 239.54/239.84 (define @t74 () (or @t46 @t65 (= @t73 @t40))) % 239.54/239.84 (define @t75 () (forall @t41 @t74)) % 239.54/239.84 (define @t76 () (tptp.hd @t66)) % 239.54/239.84 (define @t77 () (or @t46 @t65 (= @t76 @t2))) % 239.54/239.84 (define @t78 () (forall @t41 @t77)) % 239.54/239.84 (define @t79 () (not (= @t66 tptp.nil))) % 239.54/239.84 (define @t80 () (or @t79 @t46 @t65)) % 239.54/239.84 (define @t81 () (forall @t41 @t80)) % 239.54/239.84 (define @t82 () (= @t40 @t2)) % 239.54/239.84 (define @t83 () (tptp.neq @t40 @t2)) % 239.54/239.84 (define @t84 () (tptp.cons @t39 tptp.nil)) % 239.54/239.84 (define @t85 () (not (tptp.singletonP @t2))) % 239.54/239.84 (define @t86 () (or @t85 @t47 (= @t84 @t2))) % 239.54/239.84 (define @t87 () (forall @t4 @t86)) % 239.54/239.84 (define @t88 () (not @t49)) % 239.54/239.84 (define @t89 () (tptp.leq @t2 @t40)) % 239.54/239.84 (define @t90 () (tptp.lt @t2 @t40)) % 239.54/239.84 (define @t91 () (not @t90)) % 239.54/239.84 (define @t92 () (tptp.lt @t40 @t2)) % 239.54/239.84 (define @t93 () (not (tptp.gt @t2 @t40))) % 239.54/239.84 (define @t94 () (tptp.gt @t40 @t2)) % 239.54/239.84 (define @t95 () (tptp.leq @t40 @t2)) % 239.54/239.84 (define @t96 () (not (tptp.geq @t2 @t40))) % 239.54/239.84 (define @t97 () (tptp.geq @t40 @t2)) % 239.54/239.84 (define @t98 () (not @t89)) % 239.54/239.84 (define @t99 () (tptp.cons @t3 @t5)) % 239.54/239.84 (define @t100 () (or @t47 (= @t99 @t2) @t57)) % 239.54/239.84 (define @t101 () (forall @t4 @t100)) % 239.54/239.84 (define @t102 () (= @t2 @t40)) % 239.54/239.84 (define @t103 () (not @t102)) % 239.54/239.84 (define @t104 () (tptp.cons @t40 @t2)) % 239.54/239.84 (define @t105 () (not (tptp.neq @t2 @t40))) % 239.54/239.84 (define @t106 () (tptp.singletonP @t40)) % 239.54/239.84 (define @t107 () (not (= @t48 @t40))) % 239.54/239.84 (define @t108 () (or @t107 @t46 @t65 @t106)) % 239.54/239.84 (define @t109 () (forall @t41 @t108)) % 239.54/239.84 (define @t110 () (tptp.app @t2 @t40)) % 239.54/239.84 (define @t111 () (= @t110 tptp.nil)) % 239.54/239.84 (define @t112 () (not @t111)) % 239.54/239.84 (define @t113 () (= tptp.nil @t40)) % 239.54/239.84 (define @t114 () (or @t112 @t65 @t47 @t113)) % 239.54/239.84 (define @t115 () (forall @t41 @t114)) % 239.54/239.84 (define @t116 () (tptp.hd @t40)) % 239.54/239.84 (define @t117 () (forall @t41 (or @t47 @t65 @t113 (= (tptp.hd @t64) @t116)))) % 239.54/239.84 (define @t118 () (tptp.strictorderedP @t40)) % 239.54/239.84 (define @t119 () (tptp.strictorderedP @t66)) % 239.54/239.84 (define @t120 () (not @t119)) % 239.54/239.84 (define @t121 () (tptp.totalorderedP @t40)) % 239.54/239.84 (define @t122 () (tptp.totalorderedP @t66)) % 239.54/239.84 (define @t123 () (not @t122)) % 239.54/239.84 (define @t124 () (not (tptp.segmentP @t2 @t40))) % 239.54/239.84 (define @t125 () (not (tptp.rearsegP @t2 @t40))) % 239.54/239.84 (define @t126 () (not (tptp.frontsegP @t2 @t40))) % 239.54/239.84 (define @t127 () (not @t95)) % 239.54/239.84 (define @t128 () (tptp.tl @t40)) % 239.54/239.84 (define @t129 () (tptp.lt @t2 @t116)) % 239.54/239.84 (define @t130 () (tptp.leq @t2 @t116)) % 239.54/239.84 (define @t131 () (@var "W" $$unsorted)) % 239.54/239.84 (define @t132 () (tptp.app @t131 @t2)) % 239.54/239.84 (define @t133 () (not (tptp.ssList @t131))) % 239.54/239.84 (define @t134 () (@list @t2 @t40 @t131)) % 239.54/239.84 (define @t135 () (tptp.app @t2 @t131)) % 239.54/239.84 (define @t136 () (tptp.cons @t40 @t131)) % 239.54/239.84 (define @t137 () (tptp.cons @t131 @t2)) % 239.54/239.84 (define @t138 () (not (tptp.ssItem @t131))) % 239.54/239.84 (define @t139 () (not (tptp.memberP @t2 @t40))) % 239.54/239.84 (define @t140 () (tptp.rearsegP @t131 @t40)) % 239.54/239.84 (define @t141 () (not (= @t110 @t131))) % 239.54/239.84 (define @t142 () (or @t141 @t47 @t65 @t133 @t140)) % 239.54/239.84 (define @t143 () (forall @t134 @t142)) % 239.54/239.84 (define @t144 () (tptp.lt @t2 @t131)) % 239.54/239.84 (define @t145 () (not (tptp.lt @t40 @t131))) % 239.54/239.84 (define @t146 () (tptp.app @t131 @t40)) % 239.54/239.84 (define @t147 () (= @t40 @t131)) % 239.54/239.84 (define @t148 () (= @t2 @t131)) % 239.54/239.84 (define @t149 () (tptp.memberP @t40 @t131)) % 239.54/239.84 (define @t150 () (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2)))) % 239.54/239.84 (define @t151 () (or @t139 @t88 @t47 (= @t150 @t2))) % 239.54/239.84 (define @t152 () (forall @t41 @t151)) % 239.54/239.84 (define @t153 () (@var "X" $$unsorted)) % 239.54/239.84 (define @t154 () (not (tptp.ssList @t153))) % 239.54/239.84 (define @t155 () (tptp.cons @t131 @t153)) % 239.54/239.84 (define @t156 () (not (= @t66 @t155))) % 239.54/239.84 (define @t157 () (@list @t2 @t40 @t131 @t153)) % 239.54/239.84 (define @t158 () (not (tptp.frontsegP @t66 @t155))) % 239.54/239.84 (define @t159 () (tptp.app @t2 @t136)) % 239.54/239.84 (define @t160 () (not (tptp.ssItem @t153))) % 239.54/239.84 (define @t161 () (@var "Y" $$unsorted)) % 239.54/239.84 (define @t162 () (not (tptp.ssList @t161))) % 239.54/239.84 (define @t163 () (@list @t2 @t40 @t131 @t153 @t161)) % 239.54/239.84 (define @t164 () (tptp.lt @t40 @t153)) % 239.54/239.84 (define @t165 () (@var "Z" $$unsorted)) % 239.54/239.84 (define @t166 () (not (tptp.ssList @t165))) % 239.54/239.84 (define @t167 () (not (= (tptp.app @t159 (tptp.cons @t153 @t161)) @t165))) % 239.54/239.84 (define @t168 () (@list @t2 @t40 @t131 @t153 @t161 @t165)) % 239.54/239.84 (define @t169 () (tptp.leq @t40 @t153)) % 239.54/239.84 (define @t170 () (tptp.ssList tptp.sk3)) % 239.54/239.84 (define @t171 () (= tptp.nil tptp.sk1)) % 239.54/239.84 (define @t172 () (not @t171)) % 239.54/239.84 (define @t173 () (@var "A" $$unsorted)) % 239.54/239.84 (define @t174 () (@var "B" $$unsorted)) % 239.54/239.84 (define @t175 () (@var "C" $$unsorted)) % 239.54/239.84 (define @t176 () (tptp.sk5 @t175 @t174 @t173)) % 239.54/239.84 (define @t177 () (tptp.ssItem @t176)) % 239.54/239.84 (define @t178 () (tptp.app (tptp.app @t174 (tptp.cons @t173 tptp.nil)) @t175)) % 239.54/239.84 (define @t179 () (not (= @t178 tptp.sk1))) % 239.54/239.84 (define @t180 () (not (tptp.ssList @t175))) % 239.54/239.84 (define @t181 () (not (tptp.ssList @t174))) % 239.54/239.84 (define @t182 () (not (tptp.ssItem @t173))) % 239.54/239.84 (define @t183 () (or @t182 @t181 @t180 @t179 @t177)) % 239.54/239.84 (define @t184 () (@list @t173 @t174 @t175)) % 239.54/239.84 (define @t185 () (forall @t184 @t183)) % 239.54/239.84 (define @t186 () (tptp.memberP @t174 @t176)) % 239.54/239.84 (define @t187 () (or @t182 @t181 @t180 @t179 @t186)) % 239.54/239.84 (define @t188 () (forall @t184 @t187)) % 239.54/239.84 (define @t189 () (tptp.ssItem tptp.sk6)) % 239.54/239.84 (define @t190 () (= tptp.nil tptp.sk3)) % 239.54/239.84 (define @t191 () (tptp.ssList tptp.sk7)) % 239.54/239.84 (define @t192 () (tptp.ssList tptp.sk8)) % 239.54/239.84 (define @t193 () (tptp.cons tptp.sk6 tptp.nil)) % 239.54/239.84 (define @t194 () (tptp.app tptp.sk7 @t193)) % 239.54/239.84 (define @t195 () (tptp.app @t194 tptp.sk8)) % 239.54/239.84 (define @t196 () (or @t190 (= @t195 tptp.sk3))) % 239.54/239.84 (define @t197 () (tptp.sk5 tptp.sk8 tptp.sk7 tptp.sk6)) % 239.54/239.84 (define @t198 () (tptp.skaf43 @t197 tptp.sk7)) % 239.54/239.84 (define @t199 () (tptp.cons @t197 @t198)) % 239.54/239.84 (define @t200 () (@list @t197 @t198)) % 239.54/239.84 (define @t201 () (= tptp.sk1 @t178)) % 239.54/239.84 (define @t202 () (not @t201)) % 239.54/239.84 (define @t203 () (or @t182 @t181 @t180 @t202 @t177)) % 239.54/239.84 (define @t204 () (@list tptp.sk6 tptp.sk7 tptp.sk8)) % 239.54/239.84 (define @t205 () (= tptp.sk3 @t195)) % 239.54/239.84 (define @t206 () (@list true)) % 239.54/239.84 (define @t207 () (@list @t190)) % 239.54/239.84 (define @t208 () (tptp.ssItem @t197)) % 239.54/239.84 (define @t209 () (not @t205)) % 239.54/239.84 (define @t210 () (not @t192)) % 239.54/239.84 (define @t211 () (not @t191)) % 239.54/239.84 (define @t212 () (not @t189)) % 239.54/239.84 (define @t213 () (or @t212 @t211 @t210 @t209 @t208)) % 239.54/239.84 (define @t214 () (@list false false false false false)) % 239.54/239.84 (define @t215 () (tptp.ssList @t198)) % 239.54/239.84 (define @t216 () (not @t215)) % 239.54/239.84 (define @t217 () (not @t208)) % 239.54/239.84 (define @t218 () (= tptp.nil @t199)) % 239.54/239.84 (define @t219 () (not @t218)) % 239.54/239.84 (define @t220 () (or @t219 @t217 @t216)) % 239.54/239.84 (define @t221 () (@list false false false)) % 239.54/239.84 (define @t222 () (tptp.ssList @t199)) % 239.54/239.84 (define @t223 () (or @t217 @t216 @t222)) % 239.54/239.84 (define @t224 () (not @t222)) % 239.54/239.84 (define @t225 () (tptp.rearsegP tptp.nil @t199)) % 239.54/239.84 (define @t226 () (not @t225)) % 239.54/239.84 (define @t227 () (or @t226 @t224 @t218)) % 239.54/239.84 (define @t228 () (@list false true false)) % 239.54/239.84 (define @t229 () (tptp.rearsegP @t110 @t40)) % 239.54/239.84 (define @t230 () (not (tptp.ssList @t110))) % 239.54/239.84 (define @t231 () (not (= @t110 @t110))) % 239.54/239.84 (define @t232 () (or @t231 @t47 @t65 @t230 @t229)) % 239.54/239.84 (define @t233 () (@list @t131)) % 239.54/239.84 (define @t234 () (or @t141 @t141 @t47 @t65 @t133 @t140)) % 239.54/239.84 (define @t235 () (forall @t233 @t142)) % 239.54/239.84 (define @t236 () (forall @t41 @t235)) % 239.54/239.84 (define @t237 () (tptp.skaf42 tptp.sk7 @t197)) % 239.54/239.84 (define @t238 () (@list tptp.sk7 @t197)) % 239.54/239.84 (define @t239 () (or @t182 @t181 @t180 @t202 @t186)) % 239.54/239.84 (define @t240 () (tptp.memberP tptp.sk7 @t197)) % 239.54/239.84 (define @t241 () (or @t212 @t211 @t210 @t209 @t240)) % 239.54/239.84 (define @t242 () (tptp.app @t237 @t199)) % 239.54/239.84 (define @t243 () (= tptp.sk7 @t242)) % 239.54/239.84 (define @t244 () (not @t240)) % 239.54/239.84 (define @t245 () (or @t244 @t217 @t211 @t243)) % 239.54/239.84 (define @t246 () (@list false false false false)) % 239.54/239.84 (define @t247 () (tptp.ssList @t242)) % 239.54/239.84 (define @t248 () (tptp.rearsegP @t242 @t199)) % 239.54/239.84 (define @t249 () (not @t247)) % 239.54/239.84 (define @t250 () (tptp.ssList @t237)) % 239.54/239.84 (define @t251 () (not @t250)) % 239.54/239.84 (define @t252 () (or @t251 @t224 @t249 @t248)) % 239.54/239.84 (define @t253 () (not @t248)) % 239.54/239.84 (define @t254 () (not @t243)) % 239.54/239.84 (define @t255 () (= tptp.nil tptp.sk7)) % 239.54/239.84 (define @t256 () (not @t255)) % 239.54/239.84 (define @t257 () (and @t226 @t255 @t243 @t248)) % 239.54/239.84 (define @t258 () (@list tptp.sk7)) % 239.54/239.84 (define @t259 () (tptp.hd tptp.sk7)) % 239.54/239.84 (define @t260 () (tptp.ssItem @t259)) % 239.54/239.84 (define @t261 () (or @t211 @t260 @t255)) % 239.54/239.84 (define @t262 () (tptp.skaf82 tptp.sk7)) % 239.54/239.84 (define @t263 () (tptp.skaf83 tptp.sk7)) % 239.54/239.84 (define @t264 () (tptp.cons @t263 @t262)) % 239.54/239.84 (define @t265 () (= tptp.sk7 @t264)) % 239.54/239.84 (define @t266 () (or @t211 @t265 @t255)) % 239.54/239.84 (define @t267 () (tptp.hd @t194)) % 239.54/239.84 (define @t268 () (tptp.ssList @t193)) % 239.54/239.84 (define @t269 () (not @t268)) % 239.54/239.84 (define @t270 () (or @t269 @t211 @t255 (= @t267 @t259))) % 239.54/239.84 (define @t271 () (@list @t193 tptp.sk7)) % 239.54/239.84 (define @t272 () (= @t259 @t267)) % 239.54/239.84 (define @t273 () (or @t269 @t211 @t255 @t272)) % 239.54/239.84 (define @t274 () (@list false)) % 239.54/239.84 (define @t275 () (@list @t117)) % 239.54/239.84 (define @t276 () (@list tptp.sk6 tptp.nil)) % 239.54/239.84 (define @t277 () (not @t1)) % 239.54/239.84 (define @t278 () (or @t212 @t277 @t268)) % 239.54/239.84 (define @t279 () (tptp.hd @t264)) % 239.54/239.84 (define @t280 () (= @t263 @t279)) % 239.54/239.84 (define @t281 () (tptp.ssList @t262)) % 239.54/239.84 (define @t282 () (not @t281)) % 239.54/239.84 (define @t283 () (tptp.ssItem @t263)) % 239.54/239.84 (define @t284 () (not @t283)) % 239.54/239.84 (define @t285 () (or @t284 @t282 @t280)) % 239.54/239.84 (define @t286 () (@list @t263 tptp.nil)) % 239.54/239.84 (define @t287 () (tptp.cons @t263 tptp.nil)) % 239.54/239.84 (define @t288 () (tptp.ssList @t287)) % 239.54/239.84 (define @t289 () (or @t284 @t277 @t288)) % 239.54/239.84 (define @t290 () (tptp.cons @t259 tptp.nil)) % 239.54/239.84 (define @t291 () (tptp.ssList @t290)) % 239.54/239.84 (define @t292 () (and @t265 @t280 @t288)) % 239.54/239.84 (define @t293 () (tptp.singletonP @t48)) % 239.54/239.84 (define @t294 () (not (tptp.ssList @t48))) % 239.54/239.84 (define @t295 () (not (= @t48 @t48))) % 239.54/239.84 (define @t296 () (or @t295 @t46 @t294 @t293)) % 239.54/239.84 (define @t297 () (not (= @t40 @t48))) % 239.54/239.84 (define @t298 () (or @t297 @t297 @t46 @t65 @t106)) % 239.54/239.84 (define @t299 () (@list @t40)) % 239.54/239.84 (define @t300 () (or @t297 @t46 @t65 @t106)) % 239.54/239.84 (define @t301 () (forall @t299 @t300)) % 239.54/239.84 (define @t302 () (forall @t4 @t301)) % 239.54/239.84 (define @t303 () (tptp.singletonP @t290)) % 239.54/239.84 (define @t304 () (not @t291)) % 239.54/239.84 (define @t305 () (not @t260)) % 239.54/239.84 (define @t306 () (or @t305 @t304 @t303)) % 239.54/239.84 (define @t307 () (@list @t290)) % 239.54/239.84 (define @t308 () (tptp.app tptp.nil @t290)) % 239.54/239.84 (define @t309 () (= @t290 @t308)) % 239.54/239.84 (define @t310 () (or @t304 @t309)) % 239.54/239.84 (define @t311 () (tptp.skaf44 @t290)) % 239.54/239.84 (define @t312 () (tptp.cons @t311 tptp.nil)) % 239.54/239.84 (define @t313 () (= @t290 @t312)) % 239.54/239.84 (define @t314 () (not @t303)) % 239.54/239.84 (define @t315 () (or @t314 @t304 @t313)) % 239.54/239.84 (define @t316 () (@list tptp.sk3)) % 239.54/239.84 (define @t317 () (tptp.app tptp.sk3 tptp.nil)) % 239.54/239.84 (define @t318 () (= tptp.sk3 @t317)) % 239.54/239.84 (define @t319 () (not @t170)) % 239.54/239.84 (define @t320 () (or @t319 @t318)) % 239.54/239.84 (define @t321 () (@list false false)) % 239.54/239.84 (define @t322 () (tptp.skaf82 tptp.sk3)) % 239.54/239.84 (define @t323 () (tptp.skaf83 tptp.sk3)) % 239.54/239.84 (define @t324 () (tptp.cons @t323 @t322)) % 239.54/239.84 (define @t325 () (= tptp.sk3 @t324)) % 239.54/239.84 (define @t326 () (or @t319 @t325 @t190)) % 239.54/239.84 (define @t327 () (@list true false false)) % 239.54/239.84 (define @t328 () (tptp.app tptp.sk7 (tptp.app @t193 tptp.sk8))) % 239.54/239.84 (define @t329 () (= @t195 @t328)) % 239.54/239.84 (define @t330 () (or @t210 @t269 @t211 @t329)) % 239.54/239.84 (define @t331 () (tptp.hd @t195)) % 239.54/239.84 (define @t332 () (= tptp.nil @t194)) % 239.54/239.84 (define @t333 () (tptp.ssList @t194)) % 239.54/239.84 (define @t334 () (not @t333)) % 239.54/239.84 (define @t335 () (or @t210 @t334 @t332 (= @t331 @t267))) % 239.54/239.84 (define @t336 () (= @t267 @t331)) % 239.54/239.84 (define @t337 () (or @t210 @t334 @t332 @t336)) % 239.54/239.84 (define @t338 () (or @t269 @t211 @t333)) % 239.54/239.84 (define @t339 () (= tptp.nil @t193)) % 239.54/239.84 (define @t340 () (not @t339)) % 239.54/239.84 (define @t341 () (or @t340 @t212 @t277)) % 239.54/239.84 (define @t342 () (not @t332)) % 239.54/239.84 (define @t343 () (or @t342 @t269 @t211 @t339)) % 239.54/239.84 (define @t344 () (@list @t323 @t322)) % 239.54/239.84 (define @t345 () (= @t322 (tptp.tl @t324))) % 239.54/239.84 (define @t346 () (tptp.ssList @t322)) % 239.54/239.84 (define @t347 () (not @t346)) % 239.54/239.84 (define @t348 () (tptp.ssItem @t323)) % 239.54/239.84 (define @t349 () (not @t348)) % 239.54/239.84 (define @t350 () (or @t349 @t347 @t345)) % 239.54/239.84 (define @t351 () (tptp.hd @t324)) % 239.54/239.84 (define @t352 () (= @t323 @t351)) % 239.54/239.84 (define @t353 () (or @t349 @t347 @t352)) % 239.54/239.84 (define @t354 () (tptp.app @t322 tptp.nil)) % 239.54/239.84 (define @t355 () (tptp.cons @t323 @t354)) % 239.54/239.84 (define @t356 () (= @t355 (tptp.app @t324 tptp.nil))) % 239.54/239.84 (define @t357 () (or @t349 @t347 @t277 @t356)) % 239.54/239.84 (define @t358 () (tptp.tl tptp.sk3)) % 239.54/239.84 (define @t359 () (@list @t358)) % 239.54/239.84 (define @t360 () (tptp.ssList @t358)) % 239.54/239.84 (define @t361 () (or @t319 @t360 @t190)) % 239.54/239.84 (define @t362 () (= @t358 (tptp.app @t358 tptp.nil))) % 239.54/239.84 (define @t363 () (not @t360)) % 239.54/239.84 (define @t364 () (or @t363 @t362)) % 239.54/239.84 (define @t365 () (tptp.app tptp.nil @t358)) % 239.54/239.84 (define @t366 () (= @t358 @t365)) % 239.54/239.84 (define @t367 () (or @t363 @t366)) % 239.54/239.84 (define @t368 () (= @t263 (tptp.hd @t287))) % 239.54/239.84 (define @t369 () (or @t284 @t277 @t368)) % 239.54/239.84 (define @t370 () (tptp.app @t287 @t322)) % 239.54/239.84 (define @t371 () (= (tptp.cons @t263 (tptp.app tptp.nil @t322)) @t370)) % 239.54/239.84 (define @t372 () (or @t284 @t277 @t347 @t371)) % 239.54/239.84 (define @t373 () (@list @t311 tptp.nil @t322)) % 239.54/239.84 (define @t374 () (tptp.sk5 @t322 tptp.nil @t311)) % 239.54/239.84 (define @t375 () (tptp.ssItem @t374)) % 239.54/239.84 (define @t376 () (= tptp.sk3 (tptp.app (tptp.app tptp.nil @t312) @t322))) % 239.54/239.84 (define @t377 () (not @t376)) % 239.54/239.84 (define @t378 () (tptp.ssItem @t311)) % 239.54/239.84 (define @t379 () (not @t378)) % 239.54/239.84 (define @t380 () (or @t379 @t277 @t347 @t377 @t375)) % 239.54/239.84 (define @t381 () (tptp.memberP tptp.nil @t374)) % 239.54/239.84 (define @t382 () (or @t379 @t277 @t347 @t377 @t381)) % 239.54/239.84 (define @t383 () (not @t375)) % 239.54/239.84 (define @t384 () (not @t381)) % 239.54/239.84 (define @t385 () (or @t384 @t383)) % 239.54/239.84 (define @t386 () (and @t205 @t318 @t325 @t265 @t272 @t336 @t329 @t345 @t352 @t280 @t356 @t362 @t309 @t366 @t368 @t313 @t371)) % 239.54/239.84 (assume @p1 (tptp.equalelemsP tptp.nil)) % 239.54/239.84 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 239.54/239.84 (assume @p3 (tptp.strictorderedP tptp.nil)) % 239.54/239.84 (assume @p4 (tptp.totalorderedP tptp.nil)) % 239.54/239.84 (assume @p5 (tptp.strictorderP tptp.nil)) % 239.54/239.84 (assume @p6 (tptp.totalorderP tptp.nil)) % 239.54/239.84 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 239.54/239.84 (assume @p8 @t1) % 239.54/239.84 (assume @p9 (tptp.ssItem tptp.skac3)) % 239.54/239.84 (assume @p10 (tptp.ssItem tptp.skac2)) % 239.54/239.84 (assume @p11 (not (tptp.singletonP tptp.nil))) % 239.54/239.84 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 239.54/239.84 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 239.54/239.84 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 239.54/239.84 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 239.54/239.84 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 239.54/239.84 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 239.54/239.84 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 239.54/239.84 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 239.54/239.84 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 239.54/239.84 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 239.54/239.84 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 239.54/239.84 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 239.54/239.84 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 239.54/239.84 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 239.54/239.84 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 239.54/239.84 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 239.54/239.84 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 239.54/239.84 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 239.54/239.84 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 239.54/239.84 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 239.54/239.84 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 239.54/239.84 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 239.54/239.84 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 239.54/239.84 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 239.54/239.84 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 239.54/239.84 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 239.54/239.84 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 239.54/239.84 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 239.54/239.84 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 239.54/239.84 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 239.54/239.84 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 239.54/239.84 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 239.54/239.84 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 239.54/239.84 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 239.54/239.84 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 239.54/239.84 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 239.54/239.84 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 239.54/239.84 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 239.54/239.84 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 239.54/239.84 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 239.54/239.84 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 239.54/239.84 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 239.54/239.84 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 239.54/239.84 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 239.54/239.84 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 239.54/239.84 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 239.54/239.84 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 239.54/239.84 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 239.54/239.84 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 239.54/239.84 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 239.54/239.84 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 239.54/239.84 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 239.54/239.84 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 239.54/239.84 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 239.54/239.84 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 239.54/239.84 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 239.54/239.84 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 239.54/239.84 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 239.54/239.84 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 239.54/239.84 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 239.54/239.84 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 239.54/239.84 (assume @p73 @t53) % 239.54/239.84 (assume @p74 @t56) % 239.54/239.84 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t58) @t57))) % 239.54/239.84 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t59) @t57))) % 239.54/239.84 (assume @p77 (forall @t4 (or @t61 @t47 @t60))) % 239.54/239.84 (assume @p78 (forall @t4 (or (not @t60) @t47 @t57))) % 239.54/239.84 (assume @p79 (forall @t4 (or @t61 @t47 @t62))) % 239.54/239.84 (assume @p80 (forall @t4 (or (not @t62) @t47 @t57))) % 239.54/239.84 (assume @p81 (forall @t4 (or @t61 @t47 @t63))) % 239.54/239.84 (assume @p82 (forall @t4 (or (not @t63) @t47 @t57))) % 239.54/239.84 (assume @p83 (forall @t41 (or @t47 @t65 (tptp.ssList @t64)))) % 239.54/239.84 (assume @p84 (forall @t41 (or @t46 @t65 (tptp.ssList @t66)))) % 239.54/239.84 (assume @p85 (forall @t4 (or @t47 @t67 (tptp.leq @t37 @t38)))) % 239.54/239.84 (assume @p86 (forall @t4 (or @t47 @t67 (tptp.leq @t38 @t37)))) % 239.54/239.84 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t68))) % 239.54/239.84 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t69))) % 239.54/239.84 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t70))) % 239.54/239.84 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t71))) % 239.54/239.84 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t71))) % 239.54/239.84 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t72))) % 239.54/239.84 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t72))) % 239.54/239.84 (assume @p94 @t75) % 239.54/239.84 (assume @p95 @t78) % 239.54/239.84 (assume @p96 @t81) % 239.54/239.84 (assume @p97 (forall @t41 (or (not (= @t66 @t40)) @t46 @t65))) % 239.54/239.84 (assume @p98 (forall @t41 (or @t47 @t65 @t83 @t82))) % 239.54/239.84 (assume @p99 @t87) % 239.54/239.84 (assume @p100 (forall @t41 (or @t46 @t88 @t83 @t82))) % 239.54/239.84 (assume @p101 (forall @t41 (or @t91 @t88 @t46 @t89))) % 239.54/239.84 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t59 @t58) @t2) @t57))) % 239.54/239.84 (assume @p103 (forall @t41 (or @t93 @t88 @t46 @t92))) % 239.54/239.84 (assume @p104 (forall @t41 (or @t91 @t46 @t88 @t94))) % 239.54/239.84 (assume @p105 (forall @t41 (or @t96 @t88 @t46 @t95))) % 239.54/239.84 (assume @p106 (forall @t41 (or @t98 @t46 @t88 @t97))) % 239.54/239.84 (assume @p107 @t101) % 239.54/239.84 (assume @p108 (forall @t41 (or @t93 (not @t94) @t46 @t88))) % 239.54/239.84 (assume @p109 (forall @t41 (or @t103 @t91 @t88 @t46))) % 239.54/239.84 (assume @p110 (forall @t41 (or @t61 @t47 @t88 (tptp.strictorderedP @t104)))) % 239.54/239.84 (assume @p111 (forall @t41 (or @t61 @t47 @t88 (tptp.totalorderedP @t104)))) % 239.54/239.84 (assume @p112 (forall @t41 (or @t91 (not @t92) @t46 @t88))) % 239.54/239.84 (assume @p113 (forall @t41 (or @t103 @t105 @t65 @t47))) % 239.54/239.84 (assume @p114 @t109) % 239.54/239.84 (assume @p115 (forall @t41 (or @t103 @t105 @t88 @t46))) % 239.54/239.84 (assume @p116 (forall @t41 (or @t112 @t65 @t47 @t57))) % 239.54/239.84 (assume @p117 @t115) % 239.54/239.84 (assume @p118 (forall @t41 (or @t46 @t65 (= (tptp.app @t48 @t40) @t66)))) % 239.54/239.84 (assume @p119 (forall @t41 (or @t98 @t88 @t46 @t90 @t102))) % 239.54/239.84 (assume @p120 @t117) % 239.54/239.84 (assume @p121 (forall @t41 (or @t120 @t65 @t46 @t118 @t113))) % 239.54/239.84 (assume @p122 (forall @t41 (or @t123 @t65 @t46 @t121 @t113))) % 239.54/239.84 (assume @p123 (forall @t41 (or @t96 (not @t97) @t46 @t88 @t82))) % 239.54/239.84 (assume @p124 (forall @t41 (or @t124 (not (tptp.segmentP @t40 @t2)) @t47 @t65 @t82))) % 239.54/239.84 (assume @p125 (forall @t41 (or @t125 (not (tptp.rearsegP @t40 @t2)) @t47 @t65 @t82))) % 239.54/239.84 (assume @p126 (forall @t41 (or @t126 (not (tptp.frontsegP @t40 @t2)) @t47 @t65 @t82))) % 239.54/239.84 (assume @p127 (forall @t41 (or @t98 @t127 @t46 @t88 @t82))) % 239.54/239.84 (assume @p128 (forall @t41 (or @t125 @t65 @t47 (= (tptp.app @t43 @t40) @t2)))) % 239.54/239.84 (assume @p129 (forall @t41 (or @t126 @t65 @t47 (= (tptp.app @t40 @t44) @t2)))) % 239.54/239.84 (assume @p130 (forall @t41 (or @t47 @t65 @t113 (= (tptp.tl @t64) (tptp.app @t128 @t2))))) % 239.54/239.84 (assume @p131 (forall @t41 (or @t120 @t65 @t46 @t129 @t113))) % 239.54/239.84 (assume @p132 (forall @t41 (or @t123 @t65 @t46 @t130 @t113))) % 239.54/239.84 (assume @p133 (forall @t134 (or @t125 @t133 @t65 @t47 (tptp.rearsegP @t132 @t40)))) % 239.54/239.84 (assume @p134 (forall @t134 (or @t126 @t133 @t65 @t47 (tptp.frontsegP @t135 @t40)))) % 239.54/239.84 (assume @p135 (forall @t134 (or @t103 @t133 @t88 @t46 (tptp.memberP @t136 @t2)))) % 239.54/239.84 (assume @p136 (forall @t134 (or @t139 @t47 @t138 @t88 (tptp.memberP @t137 @t40)))) % 239.54/239.84 (assume @p137 (forall @t134 (or @t139 @t133 @t47 @t88 (tptp.memberP @t135 @t40)))) % 239.54/239.84 (assume @p138 (forall @t134 (or @t139 @t47 @t133 @t88 (tptp.memberP @t132 @t40)))) % 239.54/239.84 (assume @p139 (forall @t4 (or @t47 @t68 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 239.54/239.84 (assume @p140 @t143) % 239.54/239.84 (assume @p141 (forall @t134 (or @t141 @t65 @t47 @t133 (tptp.frontsegP @t131 @t2)))) % 239.54/239.84 (assume @p142 (forall @t41 (or @t61 (not @t113) @t65 @t47 @t111))) % 239.54/239.84 (assume @p143 (forall @t134 (or @t93 (not (tptp.gt @t40 @t131)) @t138 @t88 @t46 (tptp.gt @t2 @t131)))) % 239.54/239.84 (assume @p144 (forall @t134 (or @t98 @t145 @t138 @t88 @t46 @t144))) % 239.54/239.84 (assume @p145 (forall @t134 (or @t96 (not (tptp.geq @t40 @t131)) @t138 @t88 @t46 (tptp.geq @t2 @t131)))) % 239.54/239.84 (assume @p146 (forall @t134 (or @t47 @t65 @t133 (= (tptp.app @t146 @t2) (tptp.app @t131 @t64))))) % 239.54/239.84 (assume @p147 (forall @t134 (or (not (= @t110 @t135)) @t65 @t47 @t133 @t147))) % 239.54/239.84 (assume @p148 (forall @t134 (or (not (= @t110 @t146)) @t47 @t65 @t133 @t148))) % 239.54/239.84 (assume @p149 (forall @t134 (or @t124 (not (tptp.segmentP @t40 @t131)) @t133 @t65 @t47 (tptp.segmentP @t2 @t131)))) % 239.54/239.84 (assume @p150 (forall @t134 (or @t125 (not (tptp.rearsegP @t40 @t131)) @t133 @t65 @t47 (tptp.rearsegP @t2 @t131)))) % 239.54/239.84 (assume @p151 (forall @t134 (or @t126 (not (tptp.frontsegP @t40 @t131)) @t133 @t65 @t47 (tptp.frontsegP @t2 @t131)))) % 239.54/239.84 (assume @p152 (forall @t134 (or @t91 @t145 @t138 @t88 @t46 @t144))) % 239.54/239.84 (assume @p153 (forall @t134 (or @t98 (not (tptp.leq @t40 @t131)) @t138 @t88 @t46 (tptp.leq @t2 @t131)))) % 239.54/239.84 (assume @p154 (forall @t134 (or @t46 @t65 @t133 (= (tptp.cons @t2 (tptp.app @t40 @t131)) (tptp.app @t66 @t131))))) % 239.54/239.84 (assume @p155 (forall @t134 (or (not (tptp.memberP @t110 @t131)) @t65 @t47 @t138 @t149 (tptp.memberP @t2 @t131)))) % 239.54/239.84 (assume @p156 (forall @t41 (or (not @t130) (not @t121) @t65 @t46 @t122 @t113))) % 239.54/239.84 (assume @p157 (forall @t41 (or (not @t129) (not @t118) @t65 @t46 @t119 @t113))) % 239.54/239.84 (assume @p158 (forall @t134 (or (not (tptp.memberP @t66 @t131)) @t65 @t46 @t138 @t149 (= @t131 @t2)))) % 239.54/239.84 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 239.54/239.84 (assume @p160 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 239.54/239.84 (assume @p161 (forall @t4 (or @t47 @t70 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 239.54/239.84 (assume @p162 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 239.54/239.84 (assume @p163 (forall @t4 (or @t47 @t72 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 239.54/239.84 (assume @p164 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 239.54/239.84 (assume @p165 (forall @t41 (or @t124 @t65 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 239.54/239.84 (assume @p166 @t152) % 239.54/239.84 (assume @p167 (forall @t157 (or @t156 @t138 @t46 @t154 @t65 @t148))) % 239.54/239.84 (assume @p168 (forall @t157 (or @t156 @t138 @t46 @t154 @t65 (= @t153 @t40)))) % 239.54/239.84 (assume @p169 (forall @t157 (or @t124 @t133 @t154 @t65 @t47 (tptp.segmentP (tptp.app (tptp.app @t153 @t2) @t131) @t40)))) % 239.54/239.84 (assume @p170 (forall @t157 (or (not (= (tptp.app @t110 @t131) @t153)) @t133 @t47 @t65 @t154 (tptp.segmentP @t153 @t40)))) % 239.54/239.84 (assume @p171 (forall @t157 (or @t158 @t154 @t65 @t138 @t46 (tptp.frontsegP @t40 @t153)))) % 239.54/239.84 (assume @p172 (forall @t157 (or (not (= @t159 @t153)) @t133 @t47 @t88 @t154 (tptp.memberP @t153 @t40)))) % 239.54/239.84 (assume @p173 (forall @t157 (or @t158 @t154 @t65 @t138 @t46 @t148))) % 239.54/239.84 (assume @p174 (forall @t41 (or (not (= @t58 @t128)) (not (= @t59 @t116)) @t47 @t65 @t113 @t102 @t57))) % 239.54/239.84 (assume @p175 (forall @t157 (or @t126 (not (= @t131 @t153)) @t65 @t47 @t160 @t138 (tptp.frontsegP @t137 (tptp.cons @t153 @t40))))) % 239.54/239.84 (assume @p176 (forall @t163 (or (not (= (tptp.app @t159 (tptp.cons @t40 @t153)) @t161)) @t154 @t133 @t47 @t88 (not (tptp.duplicatefreeP @t161)) @t162))) % 239.54/239.84 (assume @p177 (forall @t163 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t155)) @t161)) @t154 @t47 @t138 @t88 (not (tptp.equalelemsP @t161)) @t162 @t147))) % 239.54/239.84 (assume @p178 (forall @t168 (or @t167 @t162 @t133 @t47 @t160 @t88 (not (tptp.strictorderedP @t165)) @t166 @t164))) % 239.54/239.84 (assume @p179 (forall @t168 (or @t167 @t162 @t133 @t47 @t160 @t88 (not (tptp.totalorderedP @t165)) @t166 @t169))) % 239.54/239.84 (assume @p180 (forall @t168 (or @t167 @t162 @t133 @t47 @t160 @t88 (not (tptp.strictorderP @t165)) @t166 @t164 (tptp.lt @t153 @t40)))) % 239.54/239.84 (assume @p181 (forall @t168 (or @t167 @t162 @t133 @t47 @t160 @t88 (not (tptp.totalorderP @t165)) @t166 @t169 (tptp.leq @t153 @t40)))) % 239.54/239.84 (assume @p182 (forall @t168 (or @t98 @t127 (not (= (tptp.app (tptp.app @t131 (tptp.cons @t2 @t153)) (tptp.cons @t40 @t161)) @t165)) @t162 @t154 @t133 @t88 @t46 (not (tptp.cyclefreeP @t165)) @t166))) % 239.54/239.84 (assume @p183 (tptp.ssList tptp.sk1)) % 239.54/239.84 (assume @p184 (tptp.ssList tptp.sk2)) % 239.54/239.84 (assume @p185 @t170) % 239.54/239.84 (assume @p186 (tptp.ssList tptp.sk4)) % 239.54/239.84 (assume @p187 (= tptp.sk2 tptp.sk4)) % 239.54/239.84 (assume @p188 (= tptp.sk1 tptp.sk3)) % 239.54/239.84 (assume @p189 @t172) % 239.54/239.84 (assume @p190 @t185) % 239.54/239.84 (assume @p191 @t188) % 239.54/239.84 (assume @p192 (forall @t184 (or @t182 @t181 @t180 @t179 (tptp.memberP @t175 @t176)))) % 239.54/239.84 (assume @p193 (forall @t184 (or @t182 @t181 @t180 @t179 (tptp.leq @t173 @t176)))) % 239.54/239.84 (assume @p194 (forall @t184 (or @t182 @t181 @t180 @t179 (not (tptp.leq @t176 @t173))))) % 239.54/239.84 (assume @p195 (or @t190 @t189)) % 239.54/239.84 (assume @p196 (or @t190 @t191)) % 239.54/239.84 (assume @p197 (or @t190 @t192)) % 239.54/239.84 (assume @p198 @t196) % 239.54/239.84 (assume @p199 (forall (@list @t173) (or @t190 @t182 (tptp.leq tptp.sk6 @t173) (not (tptp.memberP tptp.sk7 @t173)) (not (tptp.memberP tptp.sk8 @t173)) (not (tptp.lt tptp.sk6 @t173))))) % 239.54/239.84 (step @p200 :rule instantiate :premises (@p80) :args ((@list @t199))) % 239.54/239.84 (step @p201 :rule refl :args (@t65)) % 239.54/239.84 (step @p202 :rule refl :args (@t46)) % 239.54/239.84 (step @p203 :rule eq-symm :args (@t66 tptp.nil)) % 239.54/239.84 (step @p204 :rule cong :premises (@p203) :args (@t79)) % 239.54/239.84 (step @p205 :rule nary_cong :premises (@p204 @p202 @p201) :args (@t80)) % 239.54/239.84 (step @p206 :rule cong :premises (@p205) :args (@t81)) % 239.54/239.84 (step @p207 :rule eq_resolve :premises (@p96 @p206)) % 239.54/239.84 (step @p208 :rule instantiate :premises (@p207) :args (@t200)) % 239.54/239.84 (step @p209 :rule instantiate :premises (@p52) :args ((@list @t197 tptp.sk7))) % 239.54/239.84 (step @p210 :rule refl :args (@t177)) % 239.54/239.84 (step @p211 :rule refl :args (@t178)) % 239.54/239.84 (step @p212 :rule cong :premises (@p188 @p211) :args (@t201)) % 239.54/239.84 (step @p213 :rule cong :premises (@p212) :args (@t202)) % 239.54/239.84 (step @p214 :rule refl :args (@t180)) % 239.54/239.84 (step @p215 :rule refl :args (@t181)) % 239.54/239.84 (step @p216 :rule refl :args (@t182)) % 239.54/239.84 (step @p217 :rule nary_cong :premises (@p216 @p215 @p214 @p213 @p210) :args (@t203)) % 239.54/239.84 (step @p218 :rule cong :premises (@p217) :args ((forall @t184 @t203))) % 239.54/239.84 (step @p219 :rule eq-symm :args (@t178 tptp.sk1)) % 239.54/239.84 (step @p220 :rule cong :premises (@p219) :args (@t179)) % 239.54/239.84 (step @p221 :rule nary_cong :premises (@p216 @p215 @p214 @p220 @p210) :args (@t183)) % 239.54/239.84 (step @p222 :rule cong :premises (@p221) :args (@t185)) % 239.54/239.84 (step @p223 :rule trans :premises (@p222 @p218)) % 239.54/239.84 (step @p224 :rule eq_resolve :premises (@p190 @p223)) % 239.54/239.84 (step @p225 :rule instantiate :premises (@p224) :args (@t204)) % 239.54/239.84 (step @p226 :rule refl :args (tptp.nil)) % 239.54/239.84 (step @p227 :rule cong :premises (@p226 @p188) :args (@t171)) % 239.54/239.84 (step @p228 :rule cong :premises (@p227) :args (@t172)) % 239.54/239.84 (step @p229 :rule eq_resolve :premises (@p189 @p228)) % 239.54/239.84 (step @p230 :rule eq-symm :args (@t195 tptp.sk3)) % 239.54/239.84 (step @p231 :rule refl :args (@t190)) % 239.54/239.84 (step @p232 :rule nary_cong :premises (@p231 @p230) :args (@t196)) % 239.54/239.84 (step @p233 :rule eq_resolve :premises (@p198 @p232)) % 239.54/239.84 (step @p234 :rule chain_m_resolution :premises (@p233 @p229) :args (@t205 @t206 @t207)) % 239.54/239.84 (step @p235 :rule chain_m_resolution :premises (@p197 @p229) :args (@t192 @t206 @t207)) % 239.54/239.84 (step @p236 :rule chain_m_resolution :premises (@p196 @p229) :args (@t191 @t206 @t207)) % 239.54/239.84 (step @p237 :rule chain_m_resolution :premises (@p195 @p229) :args (@t189 @t206 @t207)) % 239.54/239.84 (step @p238 :rule cnf_or_pos :args (@t213)) % 239.54/239.84 (step @p239 :rule reordering :premises (@p238) :args ((or @t212 @t211 @t210 @t209 @t208 (not @t213)))) % 239.54/239.84 (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p236 @p235 @p234 @p225) :args (@t208 @t214 (@list @t189 @t191 @t192 @t205 @t213))) % 239.54/239.84 (step @p241 :rule cnf_or_pos :args (@t220)) % 239.54/239.84 (step @p242 :rule reordering :premises (@p241) :args ((or @t217 @t216 @t219 (not @t220)))) % 239.54/239.84 (step @p243 :rule chain_m_resolution :premises (@p242 @p240 @p209 @p208) :args (@t219 @t221 (@list @t208 @t215 @t220))) % 239.54/239.84 (step @p244 :rule instantiate :premises (@p84) :args (@t200)) % 239.54/239.84 (step @p245 :rule cnf_or_pos :args (@t223)) % 239.54/239.84 (step @p246 :rule reordering :premises (@p245) :args ((or @t217 @t222 @t216 (not @t223)))) % 239.54/239.84 (step @p247 :rule chain_m_resolution :premises (@p246 @p240 @p209 @p244) :args (@t222 @t221 (@list @t208 @t215 @t223))) % 239.54/239.84 (step @p248 :rule cnf_or_pos :args (@t227)) % 239.54/239.84 (step @p249 :rule reordering :premises (@p248) :args ((or @t224 @t218 @t226 (not @t227)))) % 239.54/239.84 (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p243 @p200) :args (@t226 @t228 (@list @t222 @t218 @t227))) % 239.54/239.84 (step @p251 :rule aci_norm :args ((= (or false @t47 @t65 @t230 @t229) (or @t47 @t65 @t230 @t229)))) % 239.54/239.84 (step @p252 :rule refl :args (@t229)) % 239.54/239.84 (step @p253 :rule refl :args (@t230)) % 239.54/239.84 (step @p254 :rule refl :args (@t47)) % 239.54/239.84 (step @p255 :rule evaluate :args ((not true))) % 239.54/239.84 (step @p256 :rule eq-refl :args (@t110)) % 239.54/239.84 (step @p257 :rule cong :premises (@p256) :args (@t231)) % 239.54/239.84 (step @p258 :rule trans :premises (@p257 @p255)) % 239.54/239.84 (step @p259 :rule nary_cong :premises (@p258 @p254 @p201 @p253 @p252) :args (@t232)) % 239.54/239.84 (step @p260 :rule trans :premises (@p259 @p251)) % 239.54/239.84 (step @p261 :rule cong :premises (@p260) :args ((forall @t41 @t232))) % 239.54/239.84 (step @p262 :rule quant-var-elim-eq :args ((= (forall @t233 (or (not (= @t131 @t110)) @t141 @t47 @t65 @t133 @t140)) @t232))) % 239.54/239.84 (step @p263 :rule refl :args (@t140)) % 239.54/239.84 (step @p264 :rule refl :args (@t133)) % 239.54/239.84 (step @p265 :rule refl :args (@t65)) % 239.54/239.84 (step @p266 :rule refl :args (@t47)) % 239.54/239.84 (step @p267 :rule refl :args (@t141)) % 239.54/239.84 (step @p268 :rule eq-symm :args (@t110 @t131)) % 239.54/239.84 (step @p269 :rule cong :premises (@p268) :args (@t141)) % 239.54/239.84 (step @p270 :rule nary_cong :premises (@p269 @p267 @p266 @p265 @p264 @p263) :args (@t234)) % 239.54/239.84 (step @p271 :rule aci_norm :args ((= @t142 @t234))) % 239.54/239.84 (step @p272 :rule trans :premises (@p271 @p270)) % 239.54/239.84 (step @p273 :rule cong :premises (@p272) :args (@t235)) % 239.54/239.84 (step @p274 :rule trans :premises (@p273 @p262)) % 239.54/239.84 (step @p275 :rule cong :premises (@p274) :args (@t236)) % 239.54/239.84 (step @p276 :rule quant-merge-prenex :args ((= @t236 @t143))) % 239.54/239.84 (step @p277 :rule symm :premises (@p276)) % 239.54/239.84 (step @p278 :rule trans :premises (@p277 @p275)) % 239.54/239.84 (step @p279 :rule trans :premises (@p278 @p261)) % 239.54/239.84 (step @p280 :rule eq_resolve :premises (@p140 @p279)) % 239.54/239.84 (step @p281 :rule instantiate :premises (@p280) :args ((@list @t237 @t199))) % 239.54/239.84 (step @p282 :rule true_intro :premises (@p236)) % 239.54/239.84 (step @p283 :rule eq-symm :args (@t150 @t2)) % 239.54/239.84 (step @p284 :rule refl :args (@t88)) % 239.54/239.84 (step @p285 :rule refl :args (@t139)) % 239.54/239.84 (step @p286 :rule nary_cong :premises (@p285 @p284 @p254 @p283) :args (@t151)) % 239.54/239.84 (step @p287 :rule cong :premises (@p286) :args (@t152)) % 239.54/239.84 (step @p288 :rule eq_resolve :premises (@p166 @p287)) % 239.54/239.84 (step @p289 :rule instantiate :premises (@p288) :args (@t238)) % 239.54/239.84 (step @p290 :rule refl :args (@t186)) % 239.54/239.84 (step @p291 :rule nary_cong :premises (@p216 @p215 @p214 @p213 @p290) :args (@t239)) % 239.54/239.84 (step @p292 :rule cong :premises (@p291) :args ((forall @t184 @t239))) % 239.54/239.84 (step @p293 :rule nary_cong :premises (@p216 @p215 @p214 @p220 @p290) :args (@t187)) % 239.54/239.84 (step @p294 :rule cong :premises (@p293) :args (@t188)) % 239.54/239.84 (step @p295 :rule trans :premises (@p294 @p292)) % 239.54/239.84 (step @p296 :rule eq_resolve :premises (@p191 @p295)) % 239.54/239.84 (step @p297 :rule instantiate :premises (@p296) :args (@t204)) % 239.54/239.84 (step @p298 :rule cnf_or_pos :args (@t241)) % 239.54/239.84 (step @p299 :rule reordering :premises (@p298) :args ((or @t212 @t211 @t210 @t209 @t240 (not @t241)))) % 239.54/239.84 (step @p300 :rule chain_m_resolution :premises (@p299 @p237 @p236 @p235 @p234 @p297) :args (@t240 @t214 (@list @t189 @t191 @t192 @t205 @t241))) % 239.54/239.84 (step @p301 :rule cnf_or_pos :args (@t245)) % 239.54/239.84 (step @p302 :rule reordering :premises (@p301) :args ((or @t211 @t217 @t244 @t243 (not @t245)))) % 239.54/239.84 (step @p303 :rule chain_m_resolution :premises (@p302 @p236 @p240 @p300 @p289) :args (@t243 @t246 (@list @t191 @t208 @t240 @t245))) % 239.54/239.84 (step @p304 :rule symm :premises (@p303)) % 239.54/239.84 (step @p305 :rule cong :premises (@p304) :args (@t247)) % 239.54/239.84 (step @p306 :rule trans :premises (@p305 @p282)) % 239.54/239.84 (step @p307 :rule true_elim :premises (@p306)) % 239.54/239.84 (step @p308 :rule instantiate :premises (@p53) :args (@t238)) % 239.54/239.84 (step @p309 :rule cnf_or_pos :args (@t252)) % 239.54/239.84 (step @p310 :rule reordering :premises (@p309) :args ((or @t224 @t251 @t249 @t248 (not @t252)))) % 239.54/239.84 (step @p311 :rule chain_m_resolution :premises (@p310 @p247 @p308 @p307 @p281) :args (@t248 @t246 (@list @t222 @t250 @t247 @t252))) % 239.54/239.84 (step @p312 :rule bool-double-not-elim :args (@t225)) % 239.54/239.84 (step @p313 :rule refl :args (@t253)) % 239.54/239.84 (step @p314 :rule refl :args (@t254)) % 239.54/239.84 (step @p315 :rule refl :args (@t256)) % 239.54/239.84 (step @p316 :rule nary_cong :premises (@p315 @p314 @p313 @p312) :args ((or @t256 @t254 @t253 (not @t226)))) % 239.54/239.84 (assume-push @p693 @t226) % 239.54/239.84 (assume-push @p694 @t255) % 239.54/239.84 (assume-push @p695 @t243) % 239.54/239.84 (assume-push @p696 @t248) % 239.54/239.84 (step @p321 :rule evaluate :args ((= true false))) % 239.54/239.84 (step @p322 :rule false_intro :premises (@p250)) % 239.54/239.84 (step @p323 :rule refl :args (@t199)) % 239.54/239.84 (step @p324 :rule symm :premises (@p694)) % 239.54/239.84 (step @p325 :rule trans :premises (@p304 @p324)) % 239.54/239.84 (step @p326 :rule cong :premises (@p325 @p323) :args (@t248)) % 239.54/239.84 (step @p327 :rule true_intro :premises (@p311)) % 239.54/239.84 (step @p328 :rule symm :premises (@p327)) % 239.54/239.84 (step @p329 :rule trans :premises (@p328 @p326 @p322)) % 239.54/239.84 (step @p330 false :rule eq_resolve :premises (@p329 @p321)) % 239.54/239.84 (step-pop @p697 :rule scope :premises (@p330)) % 239.54/239.84 (step-pop @p698 :rule scope :premises (@p697)) % 239.54/239.84 (step-pop @p699 :rule scope :premises (@p698)) % 239.54/239.84 (step-pop @p700 :rule scope :premises (@p699)) % 239.54/239.84 (step @p331 :rule process_scope :premises (@p700) :args (false)) % 239.54/239.84 (assume-push @p701 @t255) % 239.54/239.84 (assume-push @p702 @t243) % 239.54/239.84 (assume-push @p703 @t248) % 239.54/239.84 (assume-push @p704 @t226) % 239.54/239.84 (step @p340 :rule and_intro :premises (@p250 @p701 @p303 @p311)) % 239.54/239.84 (step-pop @p705 :rule scope :premises (@p340)) % 239.54/239.84 (step-pop @p706 :rule scope :premises (@p705)) % 239.54/239.84 (step-pop @p707 :rule scope :premises (@p706)) % 239.54/239.84 (step-pop @p708 :rule scope :premises (@p707)) % 239.54/239.84 (step @p341 :rule process_scope :premises (@p708) :args (@t257)) % 239.54/239.84 (step @p346 :rule implies_elim :premises (@p341)) % 239.54/239.84 (step @p347 :rule resolution :premises (@p346 @p331) :args (true @t257)) % 239.54/239.84 (step @p348 :rule not_and :premises (@p347)) % 239.54/239.84 (step @p349 :rule eq_resolve :premises (@p348 @p316)) % 239.54/239.84 (step @p350 :rule chain_m_resolution :premises (@p349 @p303 @p311 @p250) :args (@t256 (@list false false true) (@list @t243 @t248 @t225))) % 239.54/239.84 (step @p351 :rule instantiate :premises (@p76) :args (@t258)) % 239.54/239.84 (step @p352 :rule cnf_or_pos :args (@t261)) % 239.54/239.84 (step @p353 :rule reordering :premises (@p352) :args ((or @t211 @t260 @t255 (not @t261)))) % 239.54/239.84 (step @p354 :rule chain_m_resolution :premises (@p353 @p236 @p350 @p351) :args (@t260 @t228 (@list @t191 @t255 @t261))) % 239.54/239.84 (step @p355 :rule refl :args (@t57)) % 239.54/239.84 (step @p356 :rule eq-symm :args (@t99 @t2)) % 239.54/239.84 (step @p357 :rule nary_cong :premises (@p254 @p356 @p355) :args (@t100)) % 239.54/239.84 (step @p358 :rule cong :premises (@p357) :args (@t101)) % 239.54/239.84 (step @p359 :rule eq_resolve :premises (@p107 @p358)) % 239.54/239.84 (step @p360 :rule instantiate :premises (@p359) :args (@t258)) % 239.54/239.84 (step @p361 :rule cnf_or_pos :args (@t266)) % 239.54/239.84 (step @p362 :rule reordering :premises (@p361) :args ((or @t211 @t255 @t265 (not @t266)))) % 239.54/239.84 (step @p363 :rule eq-symm :args (@t267 @t259)) % 239.54/239.84 (step @p364 :rule refl :args (@t255)) % 239.54/239.84 (step @p365 :rule refl :args (@t211)) % 239.54/239.84 (step @p366 :rule refl :args (@t269)) % 239.54/239.84 (step @p367 :rule nary_cong :premises (@p366 @p365 @p364 @p363) :args (@t270)) % 239.54/239.84 (step @p368 :rule refl :args (@t117)) % 239.54/239.84 (step @p369 :rule cong :premises (@p368 @p367) :args ((=> @t117 @t270))) % 239.54/239.84 (assume-push @p709 @t117) % 239.54/239.84 (step @p371 :rule instantiate :premises (@p120) :args (@t271)) % 239.54/239.84 (step-pop @p710 :rule scope :premises (@p371)) % 239.54/239.84 (step @p372 :rule process_scope :premises (@p710) :args (@t270)) % 239.54/239.84 (step @p374 :rule eq_resolve :premises (@p372 @p369)) % 239.54/239.84 (step @p375 :rule implies_elim :premises (@p374)) % 239.54/239.84 (step @p376 :rule chain_m_resolution :premises (@p375 @p120) :args (@t273 @t274 @t275)) % 239.54/239.84 (step @p377 :rule instantiate :premises (@p84) :args (@t276)) % 239.54/239.84 (step @p378 :rule cnf_or_pos :args (@t278)) % 239.54/239.84 (step @p379 :rule reordering :premises (@p378) :args ((or @t277 @t212 @t268 (not @t278)))) % 239.54/239.84 (step @p380 :rule chain_m_resolution :premises (@p379 @p8 @p237 @p377) :args (@t268 @t221 (@list @t1 @t189 @t278))) % 239.54/239.84 (step @p381 :rule cnf_or_pos :args (@t273)) % 239.54/239.84 (step @p382 :rule reordering :premises (@p381) :args ((or @t211 @t255 @t269 @t272 (not @t273)))) % 239.54/239.84 (step @p383 :rule eq-symm :args (@t76 @t2)) % 239.54/239.84 (step @p384 :rule nary_cong :premises (@p202 @p201 @p383) :args (@t77)) % 239.54/239.84 (step @p385 :rule cong :premises (@p384) :args (@t78)) % 239.54/239.84 (step @p386 :rule eq_resolve :premises (@p95 @p385)) % 239.54/239.84 (step @p387 :rule instantiate :premises (@p386) :args ((@list @t263 @t262))) % 239.54/239.84 (step @p388 :rule instantiate :premises (@p13) :args (@t258)) % 239.54/239.84 (step @p389 :rule instantiate :premises (@p12) :args (@t258)) % 239.54/239.84 (step @p390 :rule cnf_or_pos :args (@t285)) % 239.54/239.84 (step @p391 :rule reordering :premises (@p390) :args ((or @t284 @t282 @t280 (not @t285)))) % 239.54/239.84 (step @p392 :rule chain_m_resolution :premises (@p391 @p389 @p388 @p387) :args (@t280 @t221 (@list @t283 @t281 @t285))) % 239.54/239.84 (step @p393 :rule instantiate :premises (@p84) :args (@t286)) % 239.54/239.84 (step @p394 :rule cnf_or_pos :args (@t289)) % 239.54/239.84 (step @p395 :rule reordering :premises (@p394) :args ((or @t277 @t284 @t288 (not @t289)))) % 239.54/239.84 (step @p396 :rule chain_m_resolution :premises (@p395 @p8 @p389 @p393) :args (@t288 @t221 (@list @t1 @t283 @t289))) % 239.54/239.84 (assume-push @p711 @t265) % 239.54/239.84 (assume-push @p712 @t280) % 239.54/239.84 (assume-push @p713 @t288) % 239.54/239.84 (assume-push @p714 @t288) % 239.54/239.84 (assume-push @p715 @t280) % 239.54/239.84 (assume-push @p716 @t265) % 239.54/239.84 (step @p403 :rule true_intro :premises (@p396)) % 239.54/239.84 (step @p404 :rule symm :premises (@p392)) % 239.54/239.84 (step @p405 :rule cong :premises (@p711) :args (@t259)) % 239.54/239.84 (step @p406 :rule trans :premises (@p405 @p404)) % 239.54/239.84 (step @p407 :rule cong :premises (@p406 @p226) :args (@t290)) % 239.54/239.84 (step @p408 :rule cong :premises (@p407) :args (@t291)) % 239.54/239.84 (step @p409 :rule trans :premises (@p408 @p403)) % 239.54/239.84 (step @p410 :rule true_elim :premises (@p409)) % 239.54/239.84 (step-pop @p717 :rule scope 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239.54/239.84 (step @p634 :rule symm :premises (@p632)) % 239.54/239.84 (step @p635 :rule symm :premises (@p479)) % 239.54/239.84 (step @p636 :rule trans :premises (@p635 @p234)) % 239.54/239.84 (step @p637 :rule cong :premises (@p636) :args (@t351)) % 239.54/239.84 (step @p638 :rule trans :premises (@p531 @p637 @p634)) % 239.54/239.84 (step @p639 :rule trans :premises (@p638 @p633 @p627 @p624)) % 239.54/239.84 (step @p640 :rule cong :premises (@p639 @p623) :args (@t355)) % 239.54/239.84 (step @p641 :rule symm :premises (@p535)) % 239.54/239.84 (step @p642 :rule symm :premises (@p234)) % 239.54/239.84 (step @p643 :rule symm :premises (@p483)) % 239.54/239.84 (step @p644 :rule trans :premises (@p643 @p642)) % 239.54/239.84 (step @p645 :rule trans :premises (@p644 @p479)) % 239.54/239.84 (step @p646 :rule cong :premises (@p645 @p226) :args ((tptp.app @t328 tptp.nil))) % 239.54/239.84 (step @p647 :rule symm :premises (@p644)) % 239.54/239.84 (step @p648 :rule cong :premises (@p647 @p226) :args (@t317)) % 239.54/239.84 (step @p649 :rule trans :premises (@p475 @p648 @p646 @p641 @p640 @p619 @p555 @p611)) % 239.54/239.84 (step-pop @p759 :rule scope :premises (@p649)) % 239.54/239.84 (step-pop @p760 :rule scope :premises (@p759)) % 239.54/239.84 (step-pop @p761 :rule scope :premises (@p760)) % 239.54/239.84 (step-pop @p762 :rule scope :premises (@p761)) % 239.54/239.84 (step-pop @p763 :rule scope :premises (@p762)) % 239.54/239.84 (step-pop @p764 :rule scope :premises (@p763)) % 239.54/239.84 (step-pop @p765 :rule scope :premises (@p764)) % 239.54/239.84 (step-pop @p766 :rule scope :premises (@p765)) % 239.54/239.84 (step-pop @p767 :rule scope :premises (@p766)) % 239.54/239.84 (step-pop @p768 :rule scope :premises (@p767)) % 239.54/239.84 (step-pop @p769 :rule scope :premises (@p768)) % 239.54/239.84 (step-pop @p770 :rule scope :premises (@p769)) % 239.54/239.84 (step-pop @p771 :rule scope :premises (@p770)) % 239.54/239.84 (step-pop @p772 :rule scope :premises (@p771)) % 239.54/239.84 (step-pop @p773 :rule scope :premises (@p772)) % 239.54/239.84 (step-pop @p774 :rule scope :premises (@p773)) % 239.54/239.84 (step-pop @p775 :rule scope :premises (@p774)) % 239.54/239.84 (step @p650 :rule process_scope :premises (@p775) :args (@t376)) % 239.54/239.84 (step @p668 :rule and_intro :premises (@p740 @p728 @p392 @p737 @p555 @p527 @p479 @p547 @p551 @p729 @p517 @p234 @p531 @p543 @p535 @p483 @p475)) % 239.54/239.84 (step @p669 :rule modus_ponens :premises (@p668 @p650)) % 239.54/239.84 (step-pop @p776 :rule scope :premises (@p669)) % 239.54/239.84 (step-pop @p777 :rule scope :premises (@p776)) % 239.54/239.84 (step-pop @p778 :rule scope :premises (@p777)) % 239.54/239.84 (step-pop @p779 :rule scope :premises (@p778)) % 239.54/239.84 (step-pop @p780 :rule scope :premises (@p779)) % 239.54/239.84 (step-pop @p781 :rule scope :premises (@p780)) % 239.54/239.84 (step-pop @p782 :rule scope :premises (@p781)) % 239.54/239.84 (step-pop @p783 :rule scope :premises (@p782)) % 239.54/239.84 (step-pop @p784 :rule scope :premises (@p783)) % 239.54/239.84 (step-pop @p785 :rule scope :premises (@p784)) % 239.54/239.84 (step-pop @p786 :rule scope :premises (@p785)) % 239.54/239.84 (step-pop @p787 :rule scope :premises (@p786)) % 239.54/239.84 (step-pop @p788 :rule scope :premises (@p787)) % 239.54/239.84 (step-pop @p789 :rule scope :premises (@p788)) % 239.54/239.84 (step-pop @p790 :rule scope :premises (@p789)) % 239.54/239.84 (step-pop @p791 :rule scope :premises (@p790)) % 239.54/239.84 (step-pop @p792 :rule scope :premises (@p791)) % 239.54/239.84 (step @p670 :rule process_scope :premises (@p792) :args (@t376)) % 239.54/239.84 (step @p688 :rule implies_elim :premises (@p670)) % 239.54/239.84 (step @p689 :rule cnf_and_neg :args (@t386)) % 239.54/239.84 (step @p690 :rule resolution :premises (@p689 @p688) :args (true @t386)) % 239.54/239.84 (step @p691 :rule chain_m_resolution :premises (@p690 @p566 @p555 @p551 @p547 @p543 @p392 @p535 @p531 @p527 @p517 @p483 @p479 @p475 @p234 @p467 @p465 @p459 @p457 @p452 @p450 @p424 @p396 @p392 @p382 @p380 @p376 @p236 @p362 @p360 @p236) :args ((or @t255 @t305) (@list true false false false false false false false false false false false false false false false false false false false false false false false false false false false false false) (@list @t376 @t371 @t368 @t366 @t362 @t280 @t356 @t352 @t345 @t336 @t329 @t325 @t318 @t205 @t313 @t315 @t309 @t310 @t303 @t306 @t291 @t288 @t280 @t272 @t268 @t273 @t191 @t265 @t266 @t191))) % 239.54/239.84 (step @p692 false :rule chain_m_resolution :premises (@p691 @p354 @p350) :args (false (@list false true) (@list @t260 @t255))) % 239.54/239.84 ) % 239.54/239.85 % SZS output end Proof % 239.54/239.85 % cvc5 exiting %------------------------------------------------------------------------------