%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC099-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:03 AM UTC 2026 % Result : Unsatisfiable 51.94s 52.18s % Output : Proof 52.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWC099-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:15:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/16.21 --- Run --no-e-matching --full-saturate-quant at 6... % 22.02/22.25 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.13/28.30 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.12/34.35 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 51.94/52.18 % SZS status Unsatisfiable % 51.94/52.18 % SZS output start Proof % 52.01/52.20 ( % 52.01/52.20 (declare-sort $$unsorted 0) % 52.01/52.20 (declare-const tptp.sk4 $$unsorted) % 52.01/52.20 (declare-const tptp.sk2 $$unsorted) % 52.01/52.20 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.nil $$unsorted) % 52.01/52.20 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.sk1 $$unsorted) % 52.01/52.20 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.skac2 $$unsorted) % 52.01/52.20 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.sk3 $$unsorted) % 52.01/52.20 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.ssList (-> $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skac3 $$unsorted) % 52.01/52.20 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 52.01/52.20 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 52.01/52.20 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 52.01/52.20 (define @t1 () (tptp.ssList tptp.nil)) % 52.01/52.20 (define @t2 () (@var "U" $$unsorted)) % 52.01/52.20 (define @t3 () (tptp.skaf83 @t2)) % 52.01/52.20 (define @t4 () (@list @t2)) % 52.01/52.20 (define @t5 () (tptp.skaf82 @t2)) % 52.01/52.20 (define @t6 () (tptp.skaf81 @t2)) % 52.01/52.20 (define @t7 () (tptp.skaf80 @t2)) % 52.01/52.20 (define @t8 () (tptp.skaf79 @t2)) % 52.01/52.20 (define @t9 () (tptp.skaf78 @t2)) % 52.01/52.20 (define @t10 () (tptp.skaf77 @t2)) % 52.01/52.20 (define @t11 () (tptp.skaf76 @t2)) % 52.01/52.20 (define @t12 () (tptp.skaf75 @t2)) % 52.01/52.20 (define @t13 () (tptp.skaf74 @t2)) % 52.01/52.20 (define @t14 () (tptp.skaf73 @t2)) % 52.01/52.20 (define @t15 () (tptp.skaf72 @t2)) % 52.01/52.20 (define @t16 () (tptp.skaf71 @t2)) % 52.01/52.20 (define @t17 () (tptp.skaf70 @t2)) % 52.01/52.20 (define @t18 () (tptp.skaf69 @t2)) % 52.01/52.20 (define @t19 () (tptp.skaf68 @t2)) % 52.01/52.20 (define @t20 () (tptp.skaf67 @t2)) % 52.01/52.20 (define @t21 () (tptp.skaf66 @t2)) % 52.01/52.20 (define @t22 () (tptp.skaf65 @t2)) % 52.01/52.20 (define @t23 () (tptp.skaf64 @t2)) % 52.01/52.20 (define @t24 () (tptp.skaf63 @t2)) % 52.01/52.20 (define @t25 () (tptp.skaf62 @t2)) % 52.01/52.20 (define @t26 () (tptp.skaf61 @t2)) % 52.01/52.20 (define @t27 () (tptp.skaf60 @t2)) % 52.01/52.20 (define @t28 () (tptp.skaf59 @t2)) % 52.01/52.20 (define @t29 () (tptp.skaf58 @t2)) % 52.01/52.20 (define @t30 () (tptp.skaf57 @t2)) % 52.01/52.20 (define @t31 () (tptp.skaf56 @t2)) % 52.01/52.20 (define @t32 () (tptp.skaf55 @t2)) % 52.01/52.20 (define @t33 () (tptp.skaf54 @t2)) % 52.01/52.20 (define @t34 () (tptp.skaf53 @t2)) % 52.01/52.20 (define @t35 () (tptp.skaf52 @t2)) % 52.01/52.20 (define @t36 () (tptp.skaf51 @t2)) % 52.01/52.20 (define @t37 () (tptp.skaf50 @t2)) % 52.01/52.20 (define @t38 () (tptp.skaf49 @t2)) % 52.01/52.20 (define @t39 () (tptp.skaf44 @t2)) % 52.01/52.20 (define @t40 () (@var "V" $$unsorted)) % 52.01/52.20 (define @t41 () (@list @t2 @t40)) % 52.01/52.20 (define @t42 () (tptp.skaf47 @t2 @t40)) % 52.01/52.20 (define @t43 () (tptp.skaf46 @t2 @t40)) % 52.01/52.20 (define @t44 () (tptp.skaf45 @t2 @t40)) % 52.01/52.20 (define @t45 () (tptp.skaf42 @t2 @t40)) % 52.01/52.20 (define @t46 () (not (tptp.ssItem @t2))) % 52.01/52.20 (define @t47 () (not (tptp.ssList @t2))) % 52.01/52.20 (define @t48 () (tptp.cons @t2 tptp.nil)) % 52.01/52.20 (define @t49 () (tptp.ssItem @t40)) % 52.01/52.20 (define @t50 () (tptp.duplicatefreeP @t2)) % 52.01/52.20 (define @t51 () (tptp.app @t2 tptp.nil)) % 52.01/52.20 (define @t52 () (or @t47 (= @t51 @t2))) % 52.01/52.20 (define @t53 () (forall @t4 @t52)) % 52.01/52.20 (define @t54 () (= tptp.nil @t2)) % 52.01/52.20 (define @t55 () (tptp.tl @t2)) % 52.01/52.20 (define @t56 () (tptp.hd @t2)) % 52.01/52.20 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 52.01/52.20 (define @t58 () (not @t54)) % 52.01/52.20 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 52.01/52.20 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 52.01/52.20 (define @t61 () (tptp.app @t40 @t2)) % 52.01/52.20 (define @t62 () (not (tptp.ssList @t40))) % 52.01/52.20 (define @t63 () (tptp.cons @t2 @t40)) % 52.01/52.20 (define @t64 () (tptp.cyclefreeP @t2)) % 52.01/52.20 (define @t65 () (tptp.equalelemsP @t2)) % 52.01/52.20 (define @t66 () (tptp.strictorderedP @t2)) % 52.01/52.20 (define @t67 () (tptp.totalorderedP @t2)) % 52.01/52.20 (define @t68 () (tptp.strictorderP @t2)) % 52.01/52.20 (define @t69 () (tptp.totalorderP @t2)) % 52.01/52.20 (define @t70 () (tptp.hd @t63)) % 52.01/52.20 (define @t71 () (or @t46 @t62 (= @t70 @t2))) % 52.01/52.20 (define @t72 () (forall @t41 @t71)) % 52.01/52.20 (define @t73 () (not (= @t63 tptp.nil))) % 52.01/52.20 (define @t74 () (or @t73 @t46 @t62)) % 52.01/52.20 (define @t75 () (forall @t41 @t74)) % 52.01/52.20 (define @t76 () (= @t40 @t2)) % 52.01/52.20 (define @t77 () (tptp.neq @t40 @t2)) % 52.01/52.20 (define @t78 () (or @t47 @t62 @t77 @t76)) % 52.01/52.20 (define @t79 () (forall @t41 @t78)) % 52.01/52.20 (define @t80 () (not @t49)) % 52.01/52.20 (define @t81 () (tptp.leq @t2 @t40)) % 52.01/52.20 (define @t82 () (tptp.lt @t2 @t40)) % 52.01/52.20 (define @t83 () (not @t82)) % 52.01/52.20 (define @t84 () (tptp.lt @t40 @t2)) % 52.01/52.20 (define @t85 () (not (tptp.gt @t2 @t40))) % 52.01/52.20 (define @t86 () (tptp.gt @t40 @t2)) % 52.01/52.20 (define @t87 () (tptp.leq @t40 @t2)) % 52.01/52.20 (define @t88 () (not (tptp.geq @t2 @t40))) % 52.01/52.20 (define @t89 () (tptp.geq @t40 @t2)) % 52.01/52.20 (define @t90 () (not @t81)) % 52.01/52.20 (define @t91 () (tptp.cons @t3 @t5)) % 52.01/52.20 (define @t92 () (or @t47 (= @t91 @t2) @t54)) % 52.01/52.20 (define @t93 () (forall @t4 @t92)) % 52.01/52.20 (define @t94 () (= @t2 @t40)) % 52.01/52.20 (define @t95 () (not @t94)) % 52.01/52.20 (define @t96 () (tptp.cons @t40 @t2)) % 52.01/52.20 (define @t97 () (not (tptp.neq @t2 @t40))) % 52.01/52.20 (define @t98 () (tptp.app @t2 @t40)) % 52.01/52.20 (define @t99 () (= @t98 tptp.nil)) % 52.01/52.20 (define @t100 () (not @t99)) % 52.01/52.20 (define @t101 () (= tptp.nil @t40)) % 52.01/52.20 (define @t102 () (tptp.app @t48 @t40)) % 52.01/52.20 (define @t103 () (or @t46 @t62 (= @t102 @t63))) % 52.01/52.20 (define @t104 () (forall @t41 @t103)) % 52.01/52.20 (define @t105 () (tptp.hd @t40)) % 52.01/52.20 (define @t106 () (tptp.strictorderedP @t40)) % 52.01/52.20 (define @t107 () (tptp.strictorderedP @t63)) % 52.01/52.20 (define @t108 () (not @t107)) % 52.01/52.20 (define @t109 () (tptp.totalorderedP @t40)) % 52.01/52.20 (define @t110 () (tptp.totalorderedP @t63)) % 52.01/52.20 (define @t111 () (not @t110)) % 52.01/52.20 (define @t112 () (not (tptp.segmentP @t2 @t40))) % 52.01/52.20 (define @t113 () (not (tptp.rearsegP @t2 @t40))) % 52.01/52.20 (define @t114 () (not (tptp.frontsegP @t2 @t40))) % 52.01/52.20 (define @t115 () (not @t87)) % 52.01/52.20 (define @t116 () (tptp.tl @t40)) % 52.01/52.20 (define @t117 () (tptp.lt @t2 @t105)) % 52.01/52.20 (define @t118 () (tptp.leq @t2 @t105)) % 52.01/52.20 (define @t119 () (@var "W" $$unsorted)) % 52.01/52.20 (define @t120 () (tptp.app @t119 @t2)) % 52.01/52.20 (define @t121 () (not (tptp.ssList @t119))) % 52.01/52.20 (define @t122 () (@list @t2 @t40 @t119)) % 52.01/52.20 (define @t123 () (tptp.app @t2 @t119)) % 52.01/52.20 (define @t124 () (tptp.cons @t40 @t119)) % 52.01/52.20 (define @t125 () (tptp.cons @t119 @t2)) % 52.01/52.20 (define @t126 () (not (tptp.ssItem @t119))) % 52.01/52.20 (define @t127 () (not (tptp.memberP @t2 @t40))) % 52.01/52.20 (define @t128 () (not (= @t98 @t119))) % 52.01/52.20 (define @t129 () (tptp.frontsegP @t119 @t2)) % 52.01/52.20 (define @t130 () (or @t128 @t62 @t47 @t121 @t129)) % 52.01/52.20 (define @t131 () (forall @t122 @t130)) % 52.01/52.20 (define @t132 () (tptp.lt @t2 @t119)) % 52.01/52.20 (define @t133 () (not (tptp.lt @t40 @t119))) % 52.01/52.20 (define @t134 () (tptp.app @t119 @t40)) % 52.01/52.20 (define @t135 () (= @t40 @t119)) % 52.01/52.20 (define @t136 () (= @t2 @t119)) % 52.01/52.20 (define @t137 () (tptp.memberP @t40 @t119)) % 52.01/52.20 (define @t138 () (@var "X" $$unsorted)) % 52.01/52.20 (define @t139 () (not (tptp.ssList @t138))) % 52.01/52.20 (define @t140 () (tptp.cons @t119 @t138)) % 52.01/52.20 (define @t141 () (not (= @t63 @t140))) % 52.01/52.20 (define @t142 () (@list @t2 @t40 @t119 @t138)) % 52.01/52.20 (define @t143 () (not (tptp.frontsegP @t63 @t140))) % 52.01/52.20 (define @t144 () (tptp.app @t2 @t124)) % 52.01/52.20 (define @t145 () (not (tptp.ssItem @t138))) % 52.01/52.20 (define @t146 () (@var "Y" $$unsorted)) % 52.01/52.20 (define @t147 () (not (tptp.ssList @t146))) % 52.01/52.20 (define @t148 () (@list @t2 @t40 @t119 @t138 @t146)) % 52.01/52.20 (define @t149 () (tptp.lt @t40 @t138)) % 52.01/52.20 (define @t150 () (@var "Z" $$unsorted)) % 52.01/52.20 (define @t151 () (not (tptp.ssList @t150))) % 52.01/52.20 (define @t152 () (not (= (tptp.app @t144 (tptp.cons @t138 @t146)) @t150))) % 52.01/52.20 (define @t153 () (@list @t2 @t40 @t119 @t138 @t146 @t150)) % 52.01/52.20 (define @t154 () (tptp.leq @t40 @t138)) % 52.01/52.20 (define @t155 () (tptp.ssList tptp.sk3)) % 52.01/52.20 (define @t156 () (tptp.ssList tptp.sk4)) % 52.01/52.20 (define @t157 () (tptp.frontsegP tptp.sk4 tptp.sk3)) % 52.01/52.20 (define @t158 () (@var "A" $$unsorted)) % 52.01/52.20 (define @t159 () (tptp.neq tptp.sk2 tptp.nil)) % 52.01/52.20 (define @t160 () (= tptp.nil tptp.sk2)) % 52.01/52.20 (define @t161 () (tptp.frontsegP tptp.sk2 tptp.sk1)) % 52.01/52.20 (define @t162 () (not @t161)) % 52.01/52.20 (define @t163 () (tptp.neq tptp.sk1 tptp.nil)) % 52.01/52.20 (define @t164 () (not @t163)) % 52.01/52.20 (define @t165 () (or @t160 @t164 @t162)) % 52.01/52.20 (define @t166 () (= tptp.nil tptp.sk1)) % 52.01/52.20 (define @t167 () (not @t166)) % 52.01/52.20 (define @t168 () (or @t167 @t159)) % 52.01/52.20 (define @t169 () (or @t167 @t164 @t162)) % 52.01/52.20 (define @t170 () (= tptp.nil tptp.sk4)) % 52.01/52.20 (define @t171 () (tptp.frontsegP tptp.nil tptp.sk3)) % 52.01/52.20 (define @t172 () (and @t157 @t170)) % 52.01/52.20 (define @t173 () (= tptp.nil tptp.sk3)) % 52.01/52.20 (define @t174 () (not @t155)) % 52.01/52.20 (define @t175 () (not @t171)) % 52.01/52.20 (define @t176 () (or @t175 @t174 @t173)) % 52.01/52.20 (define @t177 () (not @t173)) % 52.01/52.20 (define @t178 () (tptp.neq tptp.sk4 tptp.nil)) % 52.01/52.20 (define @t179 () (tptp.neq tptp.sk3 tptp.nil)) % 52.01/52.20 (define @t180 () (not @t179)) % 52.01/52.20 (define @t181 () (not @t157)) % 52.01/52.20 (define @t182 () (and @t178 @t170 @t173)) % 52.01/52.20 (define @t183 () (not @t170)) % 52.01/52.20 (define @t184 () (not @t1)) % 52.01/52.20 (define @t185 () (or @t184 @t174 @t179 @t173)) % 52.01/52.20 (define @t186 () (@list false true false false)) % 52.01/52.20 (define @t187 () (tptp.hd tptp.sk4)) % 52.01/52.20 (define @t188 () (tptp.cons @t187 tptp.nil)) % 52.01/52.20 (define @t189 () (@list @t188)) % 52.01/52.20 (define @t190 () (@list @t187 tptp.nil)) % 52.01/52.20 (define @t191 () (@list tptp.sk4)) % 52.01/52.20 (define @t192 () (tptp.ssItem @t187)) % 52.01/52.20 (define @t193 () (not @t156)) % 52.01/52.20 (define @t194 () (or @t193 @t192 @t170)) % 52.01/52.20 (define @t195 () (@list true false false)) % 52.01/52.20 (define @t196 () (tptp.ssList @t188)) % 52.01/52.20 (define @t197 () (not @t192)) % 52.01/52.20 (define @t198 () (or @t197 @t184 @t196)) % 52.01/52.20 (define @t199 () (@list false false false)) % 52.01/52.20 (define @t200 () (tptp.segmentP @t188 tptp.nil)) % 52.01/52.20 (define @t201 () (not @t196)) % 52.01/52.20 (define @t202 () (or @t201 @t200)) % 52.01/52.20 (define @t203 () (@list false false)) % 52.01/52.20 (define @t204 () (tptp.app @t188 tptp.nil)) % 52.01/52.20 (define @t205 () (= @t188 @t204)) % 52.01/52.20 (define @t206 () (or @t197 @t184 @t205)) % 52.01/52.20 (define @t207 () (tptp.app @t204 tptp.nil)) % 52.01/52.20 (define @t208 () (tptp.segmentP @t188 tptp.sk3)) % 52.01/52.20 (define @t209 () (and @t173 @t205 @t200)) % 52.01/52.20 (define @t210 () (tptp.frontsegP @t98 @t2)) % 52.01/52.20 (define @t211 () (not (tptp.ssList @t98))) % 52.01/52.20 (define @t212 () (not (= @t98 @t98))) % 52.01/52.20 (define @t213 () (or @t212 @t62 @t47 @t211 @t210)) % 52.01/52.20 (define @t214 () (@list @t119)) % 52.01/52.20 (define @t215 () (or @t128 @t128 @t62 @t47 @t121 @t129)) % 52.01/52.20 (define @t216 () (forall @t214 @t130)) % 52.01/52.20 (define @t217 () (forall @t41 @t216)) % 52.01/52.20 (define @t218 () (tptp.skaf82 tptp.sk4)) % 52.01/52.20 (define @t219 () (tptp.skaf83 tptp.sk4)) % 52.01/52.20 (define @t220 () (tptp.cons @t219 tptp.nil)) % 52.01/52.20 (define @t221 () (@list @t219 @t218)) % 52.01/52.20 (define @t222 () (tptp.app @t220 @t218)) % 52.01/52.20 (define @t223 () (tptp.cons @t219 @t218)) % 52.01/52.20 (define @t224 () (= @t223 @t222)) % 52.01/52.20 (define @t225 () (tptp.ssList @t218)) % 52.01/52.20 (define @t226 () (not @t225)) % 52.01/52.20 (define @t227 () (tptp.ssItem @t219)) % 52.01/52.20 (define @t228 () (not @t227)) % 52.01/52.20 (define @t229 () (or @t228 @t226 @t224)) % 52.01/52.20 (define @t230 () (= tptp.sk4 @t223)) % 52.01/52.20 (define @t231 () (or @t193 @t230 @t170)) % 52.01/52.20 (define @t232 () (tptp.ssList @t222)) % 52.01/52.20 (define @t233 () (and @t156 @t230 @t224)) % 52.01/52.20 (define @t234 () (tptp.hd @t223)) % 52.01/52.20 (define @t235 () (= @t219 @t234)) % 52.01/52.20 (define @t236 () (or @t228 @t226 @t235)) % 52.01/52.20 (define @t237 () (tptp.app tptp.sk4 tptp.nil)) % 52.01/52.20 (define @t238 () (= tptp.sk4 @t237)) % 52.01/52.20 (define @t239 () (or @t193 @t238)) % 52.01/52.20 (define @t240 () (tptp.hd @t237)) % 52.01/52.20 (define @t241 () (tptp.ssList @t220)) % 52.01/52.20 (define @t242 () (and @t238 @t230 @t235 @t196)) % 52.01/52.20 (define @t243 () (not @t235)) % 52.01/52.20 (define @t244 () (not @t230)) % 52.01/52.20 (define @t245 () (not @t238)) % 52.01/52.20 (define @t246 () (@list false false false false)) % 52.01/52.20 (define @t247 () (tptp.frontsegP @t222 @t220)) % 52.01/52.20 (define @t248 () (not @t232)) % 52.01/52.20 (define @t249 () (not @t241)) % 52.01/52.20 (define @t250 () (or @t226 @t249 @t248 @t247)) % 52.01/52.20 (define @t251 () (tptp.frontsegP tptp.sk4 @t188)) % 52.01/52.20 (define @t252 () (and @t238 @t230 @t235 @t224 @t247)) % 52.01/52.20 (define @t253 () (@list false false false false false)) % 52.01/52.20 (define @t254 () (tptp.equalelemsP @t188)) % 52.01/52.20 (define @t255 () (or @t197 @t254)) % 52.01/52.20 (define @t256 () (not @t254)) % 52.01/52.20 (define @t257 () (not @t208)) % 52.01/52.20 (define @t258 () (not @t251)) % 52.01/52.20 (define @t259 () (tptp.neq tptp.sk3 @t188)) % 52.01/52.20 (define @t260 () (not @t259)) % 52.01/52.20 (define @t261 () (or @t201 @t260 @t258 @t257 @t256)) % 52.01/52.20 (define @t262 () (tptp.neq tptp.nil @t188)) % 52.01/52.20 (define @t263 () (or @t201 @t184 @t262 (= @t188 tptp.nil))) % 52.01/52.20 (define @t264 () (forall @t41 (or @t47 @t62 @t77 @t94))) % 52.01/52.20 (define @t265 () (= tptp.nil @t188)) % 52.01/52.20 (define @t266 () (or @t201 @t184 @t262 @t265)) % 52.01/52.20 (define @t267 () (not @t265)) % 52.01/52.20 (define @t268 () (or @t267 @t197 @t184)) % 52.01/52.20 (define @t269 () (not @t262)) % 52.01/52.20 (define @t270 () (and @t262 @t173 @t260)) % 52.01/52.20 (assume @p1 (tptp.equalelemsP tptp.nil)) % 52.01/52.20 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 52.01/52.20 (assume @p3 (tptp.strictorderedP tptp.nil)) % 52.01/52.20 (assume @p4 (tptp.totalorderedP tptp.nil)) % 52.01/52.20 (assume @p5 (tptp.strictorderP tptp.nil)) % 52.01/52.20 (assume @p6 (tptp.totalorderP tptp.nil)) % 52.01/52.20 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 52.01/52.20 (assume @p8 @t1) % 52.01/52.20 (assume @p9 (tptp.ssItem tptp.skac3)) % 52.01/52.20 (assume @p10 (tptp.ssItem tptp.skac2)) % 52.01/52.20 (assume @p11 (not (tptp.singletonP tptp.nil))) % 52.01/52.20 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 52.01/52.20 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 52.01/52.20 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 52.01/52.20 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 52.01/52.20 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 52.01/52.20 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 52.01/52.20 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 52.01/52.20 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 52.01/52.20 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 52.01/52.20 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 52.01/52.20 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 52.01/52.20 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 52.01/52.20 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 52.01/52.20 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 52.01/52.20 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 52.01/52.20 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 52.01/52.20 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 52.01/52.20 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 52.01/52.20 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 52.01/52.20 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 52.01/52.20 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 52.01/52.20 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 52.01/52.20 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 52.01/52.20 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 52.01/52.20 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 52.01/52.20 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 52.01/52.20 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 52.01/52.20 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 52.01/52.20 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 52.01/52.20 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 52.01/52.20 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 52.01/52.20 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 52.01/52.20 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 52.01/52.20 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 52.01/52.20 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 52.01/52.20 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 52.01/52.20 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 52.01/52.20 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 52.01/52.20 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 52.01/52.20 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 52.01/52.20 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 52.01/52.20 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 52.01/52.20 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 52.01/52.20 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 52.01/52.20 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 52.01/52.20 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 52.01/52.20 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 52.01/52.20 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 52.01/52.20 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 52.01/52.20 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 52.01/52.20 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 52.01/52.20 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 52.01/52.20 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 52.01/52.20 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 52.01/52.20 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 52.01/52.20 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 52.01/52.20 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 52.01/52.20 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 52.01/52.20 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 52.01/52.20 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 52.01/52.20 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 52.01/52.20 (assume @p73 @t53) % 52.01/52.20 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 52.01/52.20 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 52.01/52.20 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 52.01/52.20 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 52.01/52.20 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 52.01/52.20 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 52.01/52.20 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 52.01/52.20 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 52.01/52.20 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 52.01/52.20 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 52.01/52.20 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 52.01/52.20 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 52.01/52.20 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 52.01/52.20 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 52.01/52.20 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 52.01/52.20 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 52.01/52.20 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 52.01/52.20 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 52.01/52.20 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 52.01/52.20 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 52.01/52.20 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 52.01/52.20 (assume @p95 @t72) % 52.01/52.20 (assume @p96 @t75) % 52.01/52.20 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 52.01/52.20 (assume @p98 @t79) % 52.01/52.20 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 52.01/52.20 (assume @p100 (forall @t41 (or @t46 @t80 @t77 @t76))) % 52.01/52.20 (assume @p101 (forall @t41 (or @t83 @t80 @t46 @t81))) % 52.01/52.20 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 52.01/52.20 (assume @p103 (forall @t41 (or @t85 @t80 @t46 @t84))) % 52.01/52.20 (assume @p104 (forall @t41 (or @t83 @t46 @t80 @t86))) % 52.01/52.20 (assume @p105 (forall @t41 (or @t88 @t80 @t46 @t87))) % 52.01/52.20 (assume @p106 (forall @t41 (or @t90 @t46 @t80 @t89))) % 52.01/52.20 (assume @p107 @t93) % 52.01/52.20 (assume @p108 (forall @t41 (or @t85 (not @t86) @t46 @t80))) % 52.01/52.20 (assume @p109 (forall @t41 (or @t95 @t83 @t80 @t46))) % 52.01/52.20 (assume @p110 (forall @t41 (or @t58 @t47 @t80 (tptp.strictorderedP @t96)))) % 52.01/52.20 (assume @p111 (forall @t41 (or @t58 @t47 @t80 (tptp.totalorderedP @t96)))) % 52.01/52.20 (assume @p112 (forall @t41 (or @t83 (not @t84) @t46 @t80))) % 52.01/52.20 (assume @p113 (forall @t41 (or @t95 @t97 @t62 @t47))) % 52.01/52.20 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 52.01/52.20 (assume @p115 (forall @t41 (or @t95 @t97 @t80 @t46))) % 52.01/52.20 (assume @p116 (forall @t41 (or @t100 @t62 @t47 @t54))) % 52.01/52.20 (assume @p117 (forall @t41 (or @t100 @t62 @t47 @t101))) % 52.01/52.20 (assume @p118 @t104) % 52.01/52.20 (assume @p119 (forall @t41 (or @t90 @t80 @t46 @t82 @t94))) % 52.01/52.20 (assume @p120 (forall @t41 (or @t47 @t62 @t101 (= (tptp.hd @t61) @t105)))) % 52.01/52.20 (assume @p121 (forall @t41 (or @t108 @t62 @t46 @t106 @t101))) % 52.01/52.20 (assume @p122 (forall @t41 (or @t111 @t62 @t46 @t109 @t101))) % 52.01/52.20 (assume @p123 (forall @t41 (or @t88 (not @t89) @t46 @t80 @t76))) % 52.01/52.20 (assume @p124 (forall @t41 (or @t112 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t76))) % 52.01/52.20 (assume @p125 (forall @t41 (or @t113 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t76))) % 52.01/52.20 (assume @p126 (forall @t41 (or @t114 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t76))) % 52.01/52.20 (assume @p127 (forall @t41 (or @t90 @t115 @t46 @t80 @t76))) % 52.01/52.20 (assume @p128 (forall @t41 (or @t113 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 52.01/52.20 (assume @p129 (forall @t41 (or @t114 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 52.01/52.20 (assume @p130 (forall @t41 (or @t47 @t62 @t101 (= (tptp.tl @t61) (tptp.app @t116 @t2))))) % 52.01/52.20 (assume @p131 (forall @t41 (or @t108 @t62 @t46 @t117 @t101))) % 52.01/52.20 (assume @p132 (forall @t41 (or @t111 @t62 @t46 @t118 @t101))) % 52.01/52.20 (assume @p133 (forall @t122 (or @t113 @t121 @t62 @t47 (tptp.rearsegP @t120 @t40)))) % 52.01/52.20 (assume @p134 (forall @t122 (or @t114 @t121 @t62 @t47 (tptp.frontsegP @t123 @t40)))) % 52.01/52.20 (assume @p135 (forall @t122 (or @t95 @t121 @t80 @t46 (tptp.memberP @t124 @t2)))) % 52.01/52.20 (assume @p136 (forall @t122 (or @t127 @t47 @t126 @t80 (tptp.memberP @t125 @t40)))) % 52.01/52.20 (assume @p137 (forall @t122 (or @t127 @t121 @t47 @t80 (tptp.memberP @t123 @t40)))) % 52.01/52.20 (assume @p138 (forall @t122 (or @t127 @t47 @t121 @t80 (tptp.memberP @t120 @t40)))) % 52.01/52.20 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 52.01/52.20 (assume @p140 (forall @t122 (or @t128 @t47 @t62 @t121 (tptp.rearsegP @t119 @t40)))) % 52.01/52.20 (assume @p141 @t131) % 52.01/52.20 (assume @p142 (forall @t41 (or @t58 (not @t101) @t62 @t47 @t99))) % 52.01/52.20 (assume @p143 (forall @t122 (or @t85 (not (tptp.gt @t40 @t119)) @t126 @t80 @t46 (tptp.gt @t2 @t119)))) % 52.01/52.20 (assume @p144 (forall @t122 (or @t90 @t133 @t126 @t80 @t46 @t132))) % 52.01/52.20 (assume @p145 (forall @t122 (or @t88 (not (tptp.geq @t40 @t119)) @t126 @t80 @t46 (tptp.geq @t2 @t119)))) % 52.01/52.20 (assume @p146 (forall @t122 (or @t47 @t62 @t121 (= (tptp.app @t134 @t2) (tptp.app @t119 @t61))))) % 52.01/52.20 (assume @p147 (forall @t122 (or (not (= @t98 @t123)) @t62 @t47 @t121 @t135))) % 52.01/52.20 (assume @p148 (forall @t122 (or (not (= @t98 @t134)) @t47 @t62 @t121 @t136))) % 52.01/52.20 (assume @p149 (forall @t122 (or @t112 (not (tptp.segmentP @t40 @t119)) @t121 @t62 @t47 (tptp.segmentP @t2 @t119)))) % 52.01/52.20 (assume @p150 (forall @t122 (or @t113 (not (tptp.rearsegP @t40 @t119)) @t121 @t62 @t47 (tptp.rearsegP @t2 @t119)))) % 52.01/52.20 (assume @p151 (forall @t122 (or @t114 (not (tptp.frontsegP @t40 @t119)) @t121 @t62 @t47 (tptp.frontsegP @t2 @t119)))) % 52.01/52.20 (assume @p152 (forall @t122 (or @t83 @t133 @t126 @t80 @t46 @t132))) % 52.01/52.20 (assume @p153 (forall @t122 (or @t90 (not (tptp.leq @t40 @t119)) @t126 @t80 @t46 (tptp.leq @t2 @t119)))) % 52.01/52.20 (assume @p154 (forall @t122 (or @t46 @t62 @t121 (= (tptp.cons @t2 (tptp.app @t40 @t119)) (tptp.app @t63 @t119))))) % 52.01/52.20 (assume @p155 (forall @t122 (or (not (tptp.memberP @t98 @t119)) @t62 @t47 @t126 @t137 (tptp.memberP @t2 @t119)))) % 52.01/52.20 (assume @p156 (forall @t41 (or (not @t118) (not @t109) @t62 @t46 @t110 @t101))) % 52.01/52.20 (assume @p157 (forall @t41 (or (not @t117) (not @t106) @t62 @t46 @t107 @t101))) % 52.01/52.20 (assume @p158 (forall @t122 (or (not (tptp.memberP @t63 @t119)) @t62 @t46 @t126 @t137 (= @t119 @t2)))) % 52.01/52.20 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 52.01/52.20 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 52.01/52.20 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 52.01/52.20 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 52.01/52.20 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 52.01/52.20 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 52.01/52.20 (assume @p165 (forall @t41 (or @t112 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 52.01/52.20 (assume @p166 (forall @t41 (or @t127 @t80 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 52.01/52.20 (assume @p167 (forall @t142 (or @t141 @t126 @t46 @t139 @t62 @t136))) % 52.01/52.20 (assume @p168 (forall @t142 (or @t141 @t126 @t46 @t139 @t62 (= @t138 @t40)))) % 52.01/52.20 (assume @p169 (forall @t142 (or @t112 @t121 @t139 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t138 @t2) @t119) @t40)))) % 52.01/52.20 (assume @p170 (forall @t142 (or (not (= (tptp.app @t98 @t119) @t138)) @t121 @t47 @t62 @t139 (tptp.segmentP @t138 @t40)))) % 52.01/52.20 (assume @p171 (forall @t142 (or @t143 @t139 @t62 @t126 @t46 (tptp.frontsegP @t40 @t138)))) % 52.01/52.20 (assume @p172 (forall @t142 (or (not (= @t144 @t138)) @t121 @t47 @t80 @t139 (tptp.memberP @t138 @t40)))) % 52.01/52.20 (assume @p173 (forall @t142 (or @t143 @t139 @t62 @t126 @t46 @t136))) % 52.01/52.20 (assume @p174 (forall @t41 (or (not (= @t55 @t116)) (not (= @t56 @t105)) @t47 @t62 @t101 @t94 @t54))) % 52.01/52.20 (assume @p175 (forall @t142 (or @t114 (not (= @t119 @t138)) @t62 @t47 @t145 @t126 (tptp.frontsegP @t125 (tptp.cons @t138 @t40))))) % 52.01/52.20 (assume @p176 (forall @t148 (or (not (= (tptp.app @t144 (tptp.cons @t40 @t138)) @t146)) @t139 @t121 @t47 @t80 (not (tptp.duplicatefreeP @t146)) @t147))) % 52.01/52.20 (assume @p177 (forall @t148 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t140)) @t146)) @t139 @t47 @t126 @t80 (not (tptp.equalelemsP @t146)) @t147 @t135))) % 52.01/52.20 (assume @p178 (forall @t153 (or @t152 @t147 @t121 @t47 @t145 @t80 (not (tptp.strictorderedP @t150)) @t151 @t149))) % 52.01/52.20 (assume @p179 (forall @t153 (or @t152 @t147 @t121 @t47 @t145 @t80 (not (tptp.totalorderedP @t150)) @t151 @t154))) % 52.01/52.20 (assume @p180 (forall @t153 (or @t152 @t147 @t121 @t47 @t145 @t80 (not (tptp.strictorderP @t150)) @t151 @t149 (tptp.lt @t138 @t40)))) % 52.01/52.20 (assume @p181 (forall @t153 (or @t152 @t147 @t121 @t47 @t145 @t80 (not (tptp.totalorderP @t150)) @t151 @t154 (tptp.leq @t138 @t40)))) % 52.01/52.20 (assume @p182 (forall @t153 (or @t90 @t115 (not (= (tptp.app (tptp.app @t119 (tptp.cons @t2 @t138)) (tptp.cons @t40 @t146)) @t150)) @t147 @t139 @t121 @t80 @t46 (not (tptp.cyclefreeP @t150)) @t151))) % 52.01/52.20 (assume @p183 (tptp.ssList tptp.sk1)) % 52.01/52.20 (assume @p184 (tptp.ssList tptp.sk2)) % 52.01/52.20 (assume @p185 @t155) % 52.01/52.20 (assume @p186 @t156) % 52.01/52.20 (assume @p187 (= tptp.sk2 tptp.sk4)) % 52.01/52.20 (assume @p188 (= tptp.sk1 tptp.sk3)) % 52.01/52.20 (assume @p189 @t157) % 52.01/52.20 (assume @p190 (tptp.equalelemsP tptp.sk3)) % 52.01/52.20 (assume @p191 (forall (@list @t158) (or (not (tptp.ssList @t158)) (not (tptp.neq tptp.sk3 @t158)) (not (tptp.frontsegP tptp.sk4 @t158)) (not (tptp.segmentP @t158 tptp.sk3)) (not (tptp.equalelemsP @t158))))) % 52.01/52.20 (assume @p192 (or @t160 @t159)) % 52.01/52.20 (assume @p193 @t165) % 52.01/52.20 (assume @p194 @t168) % 52.01/52.20 (assume @p195 @t169) % 52.01/52.20 (step @p196 :rule eq-symm :args (@t40 @t2)) % 52.01/52.20 (step @p197 :rule refl :args (@t77)) % 52.01/52.20 (step @p198 :rule refl :args (@t62)) % 52.01/52.20 (step @p199 :rule refl :args (@t47)) % 52.01/52.20 (step @p200 :rule nary_cong :premises (@p199 @p198 @p197 @p196) :args (@t78)) % 52.01/52.20 (step @p201 :rule cong :premises (@p200) :args (@t79)) % 52.01/52.20 (step @p202 :rule eq_resolve :premises (@p98 @p201)) % 52.01/52.20 (step @p203 :rule instantiate :premises (@p202) :args ((@list tptp.nil tptp.sk3))) % 52.01/52.20 (assume-push @p563 @t157) % 52.01/52.20 (assume-push @p564 @t170) % 52.01/52.20 (assume-push @p565 @t157) % 52.01/52.20 (assume-push @p566 @t170) % 52.01/52.20 (step @p208 :rule true_intro :premises (@p189)) % 52.01/52.20 (step @p209 :rule refl :args (tptp.sk3)) % 52.01/52.20 (step @p210 :rule cong :premises (@p564 @p209) :args (@t171)) % 52.01/52.20 (step @p211 :rule trans :premises (@p210 @p208)) % 52.01/52.20 (step @p212 :rule true_elim :premises (@p211)) % 52.01/52.20 (step-pop @p567 :rule scope :premises (@p212)) % 52.01/52.20 (step-pop @p568 :rule scope :premises (@p567)) % 52.01/52.20 (step @p213 :rule process_scope :premises (@p568) :args (@t171)) % 52.01/52.20 (step @p216 :rule and_intro :premises (@p189 @p564)) % 52.01/52.20 (step @p217 :rule modus_ponens :premises (@p216 @p213)) % 52.01/52.20 (step-pop @p569 :rule scope :premises (@p217)) % 52.01/52.20 (step-pop @p570 :rule scope :premises (@p569)) % 52.01/52.20 (step @p218 :rule process_scope :premises (@p570) :args (@t171)) % 52.01/52.20 (step @p221 :rule implies_elim :premises (@p218)) % 52.01/52.20 (step @p222 :rule cnf_and_neg :args (@t172)) % 52.01/52.20 (step @p223 :rule resolution :premises (@p222 @p221) :args (true @t172)) % 52.01/52.20 (step @p224 :rule instantiate :premises (@p82) :args ((@list tptp.sk3))) % 52.01/52.20 (step @p225 :rule cnf_or_pos :args (@t176)) % 52.01/52.20 (step @p226 :rule reordering :premises (@p225) :args ((or @t173 @t174 @t175 (not @t176)))) % 52.01/52.20 (step @p227 :rule refl :args (tptp.nil)) % 52.01/52.20 (step @p228 :rule cong :premises (@p187 @p227) :args (@t159)) % 52.01/52.20 (step @p229 :rule cong :premises (@p227 @p188) :args (@t166)) % 52.01/52.20 (step @p230 :rule cong :premises (@p229) :args (@t167)) % 52.01/52.20 (step @p231 :rule nary_cong :premises (@p230 @p228) :args (@t168)) % 52.01/52.20 (step @p232 :rule eq_resolve :premises (@p194 @p231)) % 52.01/52.20 (step @p233 :rule reordering :premises (@p232) :args ((or @t178 @t177))) % 52.01/52.20 (step @p234 :rule cong :premises (@p187 @p188) :args (@t161)) % 52.01/52.20 (step @p235 :rule cong :premises (@p234) :args (@t162)) % 52.01/52.20 (step @p236 :rule cong :premises (@p188 @p227) :args (@t163)) % 52.01/52.20 (step @p237 :rule cong :premises (@p236) :args (@t164)) % 52.01/52.20 (step @p238 :rule nary_cong :premises (@p230 @p237 @p235) :args (@t169)) % 52.01/52.20 (step @p239 :rule eq_resolve :premises (@p195 @p238)) % 52.01/52.20 (step @p240 :rule reordering :premises (@p239) :args ((or @t181 @t180 @t177))) % 52.01/52.20 (assume-push @p571 @t178) % 52.01/52.20 (assume-push @p572 @t170) % 52.01/52.20 (assume-push @p573 @t173) % 52.01/52.20 (assume-push @p574 @t178) % 52.01/52.20 (assume-push @p575 @t170) % 52.01/52.20 (assume-push @p576 @t173) % 52.01/52.20 (step @p247 :rule true_intro :premises (@p571)) % 52.01/52.20 (step @p248 :rule symm :premises (@p573)) % 52.01/52.20 (step @p249 :rule trans :premises (@p248 @p572)) % 52.01/52.20 (step @p250 :rule cong :premises (@p249 @p227) :args (@t179)) % 52.01/52.20 (step @p251 :rule trans :premises (@p250 @p247)) % 52.01/52.20 (step @p252 :rule true_elim :premises (@p251)) % 52.01/52.20 (step-pop @p577 :rule scope :premises (@p252)) % 52.01/52.20 (step-pop @p578 :rule scope :premises (@p577)) % 52.01/52.20 (step-pop @p579 :rule scope :premises (@p578)) % 52.01/52.20 (step @p253 :rule process_scope :premises (@p579) :args (@t179)) % 52.01/52.20 (step @p257 :rule and_intro :premises (@p571 @p572 @p573)) % 52.01/52.20 (step @p258 :rule modus_ponens :premises (@p257 @p253)) % 52.01/52.20 (step-pop @p580 :rule scope :premises (@p258)) % 52.01/52.20 (step-pop @p581 :rule scope :premises (@p580)) % 52.01/52.20 (step-pop @p582 :rule scope :premises (@p581)) % 52.01/52.20 (step @p259 :rule process_scope :premises (@p582) :args (@t179)) % 52.01/52.20 (step @p263 :rule implies_elim :premises (@p259)) % 52.01/52.20 (step @p264 :rule cnf_and_neg :args (@t182)) % 52.01/52.20 (step @p265 :rule resolution :premises (@p264 @p263) :args (true @t182)) % 52.01/52.20 (step @p266 :rule reordering :premises (@p265) :args ((or @t179 @t177 @t183 (not @t178)))) % 52.01/52.20 (step @p267 :rule chain_m_resolution :premises (@p266 @p240 @p189 @p233 @p226 @p224 @p185 @p223 @p189) :args (@t183 (@list true false false false false false false false) (@list @t179 @t157 @t178 @t173 @t176 @t155 @t171 @t157))) % 52.01/52.20 (step @p268 :rule cong :premises (@p227 @p187) :args (@t160)) % 52.01/52.20 (step @p269 :rule nary_cong :premises (@p268 @p237 @p235) :args (@t165)) % 52.01/52.20 (step @p270 :rule eq_resolve :premises (@p193 @p269)) % 52.01/52.20 (step @p271 :rule reordering :premises (@p270) :args ((or @t170 @t181 @t180))) % 52.01/52.20 (step @p272 :rule chain_m_resolution :premises (@p271 @p267 @p189) :args (@t180 (@list true false) (@list @t170 @t157))) % 52.01/52.20 (step @p273 :rule cnf_or_pos :args (@t185)) % 52.01/52.20 (step @p274 :rule reordering :premises (@p273) :args ((or @t184 @t179 @t173 @t174 (not @t185)))) % 52.01/52.20 (step @p275 :rule chain_m_resolution :premises (@p274 @p8 @p272 @p185 @p203) :args (@t173 @t186 (@list @t1 @t179 @t155 @t185))) % 52.01/52.20 (step @p276 :rule instantiate :premises (@p191) :args (@t189)) % 52.01/52.20 (step @p277 :rule instantiate :premises (@p56) :args (@t189)) % 52.01/52.20 (step @p278 :rule instantiate :premises (@p84) :args (@t190)) % 52.01/52.20 (step @p279 :rule instantiate :premises (@p76) :args (@t191)) % 52.01/52.20 (step @p280 :rule cnf_or_pos :args (@t194)) % 52.01/52.20 (step @p281 :rule reordering :premises (@p280) :args ((or @t170 @t193 @t192 (not @t194)))) % 52.01/52.20 (step @p282 :rule chain_m_resolution :premises (@p281 @p267 @p186 @p279) :args (@t192 @t195 (@list @t170 @t156 @t194))) % 52.01/52.20 (step @p283 :rule cnf_or_pos :args (@t198)) % 52.01/52.20 (step @p284 :rule reordering :premises (@p283) :args ((or @t184 @t197 @t196 (not @t198)))) % 52.01/52.20 (step @p285 :rule chain_m_resolution :premises (@p284 @p8 @p282 @p278) :args (@t196 @t199 (@list @t1 @t192 @t198))) % 52.01/52.20 (step @p286 :rule cnf_or_pos :args (@t202)) % 52.01/52.20 (step @p287 :rule reordering :premises (@p286) :args ((or @t201 @t200 (not @t202)))) % 52.01/52.20 (step @p288 :rule chain_m_resolution :premises (@p287 @p285 @p277) :args (@t200 @t203 (@list @t196 @t202))) % 52.01/52.20 (step @p289 :rule eq-symm :args (@t102 @t63)) % 52.01/52.20 (step @p290 :rule refl :args (@t46)) % 52.01/52.20 (step @p291 :rule nary_cong :premises (@p290 @p198 @p289) :args (@t103)) % 52.01/52.20 (step @p292 :rule cong :premises (@p291) :args (@t104)) % 52.01/52.20 (step @p293 :rule eq_resolve :premises (@p118 @p292)) % 52.01/52.20 (step @p294 :rule instantiate :premises (@p293) :args (@t190)) % 52.01/52.20 (step @p295 :rule cnf_or_pos :args (@t206)) % 52.01/52.20 (step @p296 :rule reordering :premises (@p295) :args ((or @t184 @t197 @t205 (not @t206)))) % 52.01/52.20 (step @p297 :rule chain_m_resolution :premises (@p296 @p8 @p282 @p294) :args (@t205 @t199 (@list @t1 @t192 @t206))) % 52.01/52.20 (assume-push @p583 @t173) % 52.01/52.20 (assume-push @p584 @t205) % 52.01/52.20 (assume-push @p585 @t200) % 52.01/52.20 (assume-push @p586 @t200) % 52.01/52.20 (assume-push @p587 @t205) % 52.01/52.20 (assume-push @p588 @t173) % 52.01/52.20 (step @p304 :rule true_intro :premises (@p585)) % 52.01/52.20 (step @p305 :rule symm :premises (@p584)) % 52.01/52.20 (step @p306 :rule cong :premises (@p305 @p227) :args (@t207)) % 52.01/52.20 (step @p307 :rule trans :premises (@p306 @p305)) % 52.01/52.20 (step @p308 :rule cong :premises (@p307 @p227) :args ((tptp.segmentP @t207 tptp.nil))) % 52.01/52.20 (step @p309 :rule symm :premises (@p583)) % 52.01/52.20 (step @p310 :rule symm :premises (@p307)) % 52.01/52.20 (step @p311 :rule cong :premises (@p310 @p309) :args (@t208)) % 52.01/52.20 (step @p312 :rule trans :premises (@p311 @p308 @p304)) % 52.01/52.20 (step @p313 :rule true_elim :premises (@p312)) % 52.01/52.20 (step-pop @p589 :rule scope :premises (@p313)) % 52.01/52.20 (step-pop @p590 :rule scope :premises (@p589)) % 52.01/52.20 (step-pop @p591 :rule scope :premises (@p590)) % 52.01/52.20 (step @p314 :rule process_scope :premises (@p591) :args (@t208)) % 52.01/52.20 (step @p318 :rule and_intro :premises (@p585 @p584 @p583)) % 52.01/52.20 (step @p319 :rule modus_ponens :premises (@p318 @p314)) % 52.01/52.20 (step-pop @p592 :rule scope :premises (@p319)) % 52.01/52.20 (step-pop @p593 :rule scope :premises (@p592)) % 52.01/52.20 (step-pop @p594 :rule scope :premises (@p593)) % 52.01/52.20 (step @p320 :rule process_scope :premises (@p594) :args (@t208)) % 52.01/52.20 (step @p324 :rule implies_elim :premises (@p320)) % 52.01/52.20 (step @p325 :rule cnf_and_neg :args (@t209)) % 52.01/52.20 (step @p326 :rule resolution :premises (@p325 @p324) :args (true @t209)) % 52.01/52.20 (step @p327 :rule reordering :premises (@p326) :args ((or @t177 (not @t205) @t208 (not @t200)))) % 52.01/52.20 (step @p328 :rule chain_m_resolution :premises (@p327 @p275 @p297 @p288) :args (@t208 @t199 (@list @t173 @t205 @t200))) % 52.01/52.20 (step @p329 :rule aci_norm :args ((= (or false @t62 @t47 @t211 @t210) (or @t62 @t47 @t211 @t210)))) % 52.01/52.20 (step @p330 :rule refl :args (@t210)) % 52.01/52.20 (step @p331 :rule refl :args (@t211)) % 52.01/52.20 (step @p332 :rule evaluate :args ((not true))) % 52.01/52.20 (step @p333 :rule eq-refl :args (@t98)) % 52.01/52.20 (step @p334 :rule cong :premises (@p333) :args (@t212)) % 52.01/52.20 (step @p335 :rule trans :premises (@p334 @p332)) % 52.01/52.20 (step @p336 :rule nary_cong :premises (@p335 @p198 @p199 @p331 @p330) :args (@t213)) % 52.01/52.20 (step @p337 :rule trans :premises (@p336 @p329)) % 52.01/52.20 (step @p338 :rule cong :premises (@p337) :args ((forall @t41 @t213))) % 52.01/52.20 (step @p339 :rule quant-var-elim-eq :args ((= (forall @t214 (or (not (= @t119 @t98)) @t128 @t62 @t47 @t121 @t129)) @t213))) % 52.01/52.20 (step @p340 :rule refl :args (@t129)) % 52.01/52.20 (step @p341 :rule refl :args (@t121)) % 52.01/52.20 (step @p342 :rule refl :args (@t47)) % 52.01/52.20 (step @p343 :rule refl :args (@t62)) % 52.01/52.20 (step @p344 :rule refl :args (@t128)) % 52.01/52.20 (step @p345 :rule eq-symm :args (@t98 @t119)) % 52.01/52.20 (step @p346 :rule cong :premises (@p345) :args (@t128)) % 52.01/52.20 (step @p347 :rule nary_cong :premises (@p346 @p344 @p343 @p342 @p341 @p340) :args (@t215)) % 52.01/52.20 (step @p348 :rule aci_norm :args ((= @t130 @t215))) % 52.01/52.20 (step @p349 :rule trans :premises (@p348 @p347)) % 52.01/52.20 (step @p350 :rule cong :premises (@p349) :args (@t216)) % 52.01/52.20 (step @p351 :rule trans :premises (@p350 @p339)) % 52.01/52.20 (step @p352 :rule cong :premises (@p351) :args (@t217)) % 52.01/52.20 (step @p353 :rule quant-merge-prenex :args ((= @t217 @t131))) % 52.01/52.20 (step @p354 :rule symm :premises (@p353)) % 52.01/52.20 (step @p355 :rule trans :premises (@p354 @p352)) % 52.01/52.20 (step @p356 :rule trans :premises (@p355 @p338)) % 52.01/52.20 (step @p357 :rule eq_resolve :premises (@p141 @p356)) % 52.01/52.20 (step @p358 :rule instantiate :premises (@p357) :args ((@list @t220 @t218))) % 52.01/52.20 (step @p359 :rule instantiate :premises (@p293) :args (@t221)) % 52.01/52.20 (step @p360 :rule instantiate :premises (@p13) :args (@t191)) % 52.01/52.20 (step @p361 :rule instantiate :premises (@p12) :args (@t191)) % 52.01/52.20 (step @p362 :rule cnf_or_pos :args (@t229)) % 52.01/52.20 (step @p363 :rule reordering :premises (@p362) :args ((or @t228 @t226 @t224 (not @t229)))) % 52.01/52.20 (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p360 @p359) :args (@t224 @t199 (@list @t227 @t225 @t229))) % 52.01/52.20 (step @p365 :rule refl :args (@t54)) % 52.01/52.20 (step @p366 :rule eq-symm :args (@t91 @t2)) % 52.01/52.20 (step @p367 :rule nary_cong :premises (@p199 @p366 @p365) :args (@t92)) % 52.01/52.20 (step @p368 :rule cong :premises (@p367) :args (@t93)) % 52.01/52.20 (step @p369 :rule eq_resolve :premises (@p107 @p368)) % 52.01/52.20 (step @p370 :rule instantiate :premises (@p369) :args (@t191)) % 52.01/52.20 (step @p371 :rule cnf_or_pos :args (@t231)) % 52.01/52.20 (step @p372 :rule reordering :premises (@p371) :args ((or @t170 @t193 @t230 (not @t231)))) % 52.01/52.20 (step @p373 :rule chain_m_resolution :premises (@p372 @p267 @p186 @p370) :args (@t230 @t195 (@list @t170 @t156 @t231))) % 52.01/52.20 (assume-push @p595 @t156) % 52.01/52.20 (assume-push @p596 @t230) % 52.01/52.20 (assume-push @p597 @t224) % 52.01/52.20 (assume-push @p598 @t156) % 52.01/52.20 (assume-push @p599 @t230) % 52.01/52.20 (assume-push @p600 @t224) % 52.01/52.20 (step @p380 :rule true_intro :premises (@p186)) % 52.01/52.20 (step @p381 :rule symm :premises (@p596)) % 52.01/52.20 (step @p382 :rule symm :premises (@p364)) % 52.01/52.20 (step @p383 :rule trans :premises (@p382 @p381)) % 52.01/52.20 (step @p384 :rule cong :premises (@p383) :args (@t232)) % 52.01/52.20 (step @p385 :rule trans :premises (@p384 @p380)) % 52.01/52.20 (step @p386 :rule true_elim :premises (@p385)) % 52.01/52.20 (step-pop @p601 :rule scope :premises (@p386)) % 52.01/52.20 (step-pop @p602 :rule scope :premises (@p601)) % 52.01/52.20 (step-pop @p603 :rule scope :premises (@p602)) % 52.01/52.20 (step @p387 :rule process_scope :premises (@p603) :args (@t232)) % 52.01/52.20 (step @p391 :rule and_intro :premises (@p186 @p596 @p364)) % 52.01/52.20 (step @p392 :rule modus_ponens :premises (@p391 @p387)) % 52.01/52.20 (step-pop @p604 :rule scope :premises (@p392)) % 52.01/52.20 (step-pop @p605 :rule scope :premises (@p604)) % 52.01/52.20 (step-pop @p606 :rule scope :premises (@p605)) % 52.01/52.20 (step @p393 :rule process_scope :premises (@p606) :args (@t232)) % 52.01/52.20 (step @p397 :rule implies_elim :premises (@p393)) % 52.01/52.20 (step @p398 :rule cnf_and_neg :args (@t233)) % 52.01/52.20 (step @p399 :rule resolution :premises (@p398 @p397) :args (true @t233)) % 52.01/52.20 (step @p400 :rule chain_m_resolution :premises (@p399 @p186 @p373 @p364) :args (@t232 @t199 (@list @t156 @t230 @t224))) % 52.01/52.20 (step @p401 :rule eq-symm :args (@t70 @t2)) % 52.01/52.20 (step @p402 :rule nary_cong :premises (@p290 @p198 @p401) :args (@t71)) % 52.01/52.20 (step @p403 :rule cong :premises (@p402) :args (@t72)) % 52.01/52.20 (step @p404 :rule eq_resolve :premises (@p95 @p403)) % 52.01/52.20 (step @p405 :rule instantiate :premises (@p404) :args (@t221)) % 52.01/52.20 (step @p406 :rule cnf_or_pos :args (@t236)) % 52.01/52.20 (step @p407 :rule reordering :premises (@p406) :args ((or @t228 @t226 @t235 (not @t236)))) % 52.01/52.20 (step @p408 :rule chain_m_resolution :premises (@p407 @p361 @p360 @p405) :args (@t235 @t199 (@list @t227 @t225 @t236))) % 52.01/52.20 (step @p409 :rule eq-symm :args (@t51 @t2)) % 52.01/52.20 (step @p410 :rule nary_cong :premises (@p199 @p409) :args (@t52)) % 52.01/52.20 (step @p411 :rule cong :premises (@p410) :args (@t53)) % 52.01/52.20 (step @p412 :rule eq_resolve :premises (@p73 @p411)) % 52.01/52.20 (step @p413 :rule instantiate :premises (@p412) :args (@t191)) % 52.01/52.20 (step @p414 :rule cnf_or_pos :args (@t239)) % 52.01/52.20 (step @p415 :rule reordering :premises (@p414) :args ((or @t193 @t238 (not @t239)))) % 52.01/52.20 (step @p416 :rule chain_m_resolution :premises (@p415 @p186 @p413) :args (@t238 @t203 (@list @t156 @t239))) % 52.01/52.20 (assume-push @p607 @t238) % 52.01/52.20 (assume-push @p608 @t230) % 52.01/52.20 (assume-push @p609 @t235) % 52.01/52.20 (assume-push @p610 @t196) % 52.01/52.20 (assume-push @p611 @t196) % 52.01/52.20 (assume-push @p612 @t238) % 52.01/52.20 (assume-push @p613 @t230) % 52.01/52.20 (assume-push @p614 @t235) % 52.01/52.20 (step @p425 :rule true_intro :premises (@p610)) % 52.01/52.20 (step @p426 :rule symm :premises (@p416)) % 52.01/52.20 (step @p427 :rule cong :premises (@p426) :args (@t240)) % 52.01/52.20 (step @p428 :rule symm :premises (@p608)) % 52.01/52.20 (step @p429 :rule trans :premises (@p428 @p416)) % 52.01/52.20 (step @p430 :rule cong :premises (@p429) :args (@t234)) % 52.01/52.20 (step @p431 :rule trans :premises (@p408 @p430 @p427)) % 52.01/52.20 (step @p432 :rule cong :premises (@p431 @p227) :args (@t220)) % 52.01/52.20 (step @p433 :rule cong :premises (@p432) :args (@t241)) % 52.01/52.20 (step @p434 :rule trans :premises (@p433 @p425)) % 52.01/52.20 (step @p435 :rule true_elim :premises (@p434)) % 52.01/52.20 (step-pop @p615 :rule scope :premises (@p435)) % 52.01/52.20 (step-pop @p616 :rule scope :premises (@p615)) % 52.01/52.20 (step-pop @p617 :rule scope :premises (@p616)) % 52.01/52.20 (step-pop @p618 :rule scope :premises (@p617)) % 52.01/52.20 (step @p436 :rule process_scope :premises (@p618) :args (@t241)) % 52.01/52.20 (step @p441 :rule and_intro :premises (@p610 @p416 @p608 @p408)) % 52.01/52.20 (step @p442 :rule modus_ponens :premises (@p441 @p436)) % 52.01/52.20 (step-pop @p619 :rule scope :premises (@p442)) % 52.01/52.20 (step-pop @p620 :rule scope :premises (@p619)) % 52.01/52.20 (step-pop @p621 :rule scope :premises (@p620)) % 52.01/52.20 (step-pop @p622 :rule scope :premises (@p621)) % 52.01/52.20 (step @p443 :rule process_scope :premises (@p622) :args (@t241)) % 52.01/52.20 (step @p448 :rule implies_elim :premises (@p443)) % 52.01/52.20 (step @p449 :rule cnf_and_neg :args (@t242)) % 52.01/52.20 (step @p450 :rule resolution :premises (@p449 @p448) :args (true @t242)) % 52.01/52.20 (step @p451 :rule reordering :premises (@p450) :args ((or @t245 @t244 @t201 @t243 @t241))) % 52.01/52.20 (step @p452 :rule chain_m_resolution :premises (@p451 @p416 @p373 @p285 @p408) :args (@t241 @t246 (@list @t238 @t230 @t196 @t235))) % 52.01/52.20 (step @p453 :rule cnf_or_pos :args (@t250)) % 52.01/52.20 (step @p454 :rule reordering :premises (@p453) :args ((or @t226 @t249 @t248 @t247 (not @t250)))) % 52.01/52.20 (step @p455 :rule chain_m_resolution :premises (@p454 @p360 @p452 @p400 @p358) :args (@t247 @t246 (@list @t225 @t241 @t232 @t250))) % 52.01/52.20 (assume-push @p623 @t238) % 52.01/52.20 (assume-push @p624 @t230) % 52.01/52.20 (assume-push @p625 @t235) % 52.01/52.20 (assume-push @p626 @t224) % 52.01/52.20 (assume-push @p627 @t247) % 52.01/52.20 (assume-push @p628 @t247) % 52.01/52.20 (assume-push @p629 @t224) % 52.01/52.20 (assume-push @p630 @t230) % 52.01/52.20 (assume-push @p631 @t238) % 52.01/52.20 (assume-push @p632 @t235) % 52.01/52.20 (step @p466 :rule true_intro :premises (@p627)) % 52.01/52.20 (step @p467 :rule symm :premises (@p408)) % 52.01/52.20 (step @p426 :rule symm :premises (@p416)) % 52.01/52.20 (step @p468 :rule trans :premises (@p426 @p624)) % 52.01/52.20 (step @p469 :rule cong :premises (@p468) :args (@t240)) % 52.01/52.20 (step @p470 :rule cong :premises (@p416) :args (@t187)) % 52.01/52.20 (step @p471 :rule trans :premises (@p470 @p469 @p467)) % 52.01/52.20 (step @p472 :rule cong :premises (@p471 @p227) :args (@t188)) % 52.01/52.20 (step @p473 :rule trans :premises (@p426 @p624 @p364)) % 52.01/52.20 (step @p474 :rule trans :premises (@p416 @p473)) % 52.01/52.20 (step @p475 :rule cong :premises (@p474 @p472) :args (@t251)) % 52.01/52.20 (step @p476 :rule trans :premises (@p475 @p466)) % 52.01/52.20 (step @p477 :rule true_elim :premises (@p476)) % 52.01/52.20 (step-pop @p633 :rule scope :premises (@p477)) % 52.01/52.20 (step-pop @p634 :rule scope :premises (@p633)) % 52.01/52.20 (step-pop @p635 :rule scope :premises (@p634)) % 52.01/52.20 (step-pop @p636 :rule scope :premises (@p635)) % 52.01/52.20 (step-pop @p637 :rule scope :premises (@p636)) % 52.01/52.20 (step @p478 :rule process_scope :premises (@p637) :args (@t251)) % 52.01/52.20 (step @p484 :rule and_intro :premises (@p627 @p364 @p624 @p416 @p408)) % 52.01/52.20 (step @p485 :rule modus_ponens :premises (@p484 @p478)) % 52.01/52.20 (step-pop @p638 :rule scope :premises (@p485)) % 52.01/52.20 (step-pop @p639 :rule scope :premises (@p638)) % 52.01/52.20 (step-pop @p640 :rule scope :premises (@p639)) % 52.01/52.20 (step-pop @p641 :rule scope :premises (@p640)) % 52.01/52.20 (step-pop @p642 :rule scope :premises (@p641)) % 52.01/52.20 (step @p486 :rule process_scope :premises (@p642) :args (@t251)) % 52.01/52.20 (step @p492 :rule implies_elim :premises (@p486)) % 52.01/52.20 (step @p493 :rule cnf_and_neg :args (@t252)) % 52.01/52.20 (step @p494 :rule resolution :premises (@p493 @p492) :args (true @t252)) % 52.01/52.20 (step @p495 :rule reordering :premises (@p494) :args ((or @t245 @t244 @t243 (not @t224) @t251 (not @t247)))) % 52.01/52.20 (step @p496 :rule chain_m_resolution :premises (@p495 @p416 @p373 @p408 @p364 @p455) :args (@t251 @t253 (@list @t238 @t230 @t235 @t224 @t247))) % 52.01/52.20 (step @p497 :rule instantiate :premises (@p64) :args ((@list @t187))) % 52.01/52.20 (step @p498 :rule cnf_or_pos :args (@t255)) % 52.01/52.20 (step @p499 :rule reordering :premises (@p498) :args ((or @t197 @t254 (not @t255)))) % 52.01/52.20 (step @p500 :rule chain_m_resolution :premises (@p499 @p282 @p497) :args (@t254 @t203 (@list @t192 @t255))) % 52.01/52.20 (step @p501 :rule cnf_or_pos :args (@t261)) % 52.01/52.20 (step @p502 :rule reordering :premises (@p501) :args ((or @t201 @t256 @t260 @t258 @t257 (not @t261)))) % 52.01/52.20 (step @p503 :rule chain_m_resolution :premises (@p502 @p285 @p500 @p496 @p328 @p276) :args (@t260 @t253 (@list @t196 @t254 @t251 @t208 @t261))) % 52.01/52.20 (step @p504 :rule eq-symm :args (@t188 tptp.nil)) % 52.01/52.20 (step @p505 :rule refl :args (@t262)) % 52.01/52.20 (step @p506 :rule refl :args (@t184)) % 52.01/52.20 (step @p507 :rule refl :args (@t201)) % 52.01/52.20 (step @p508 :rule nary_cong :premises (@p507 @p506 @p505 @p504) :args (@t263)) % 52.01/52.20 (step @p509 :rule refl :args (@t264)) % 52.01/52.20 (step @p510 :rule cong :premises (@p509 @p508) :args ((=> @t264 @t263))) % 52.01/52.20 (assume-push @p643 @t264) % 52.01/52.20 (step @p512 :rule instantiate :premises (@p202) :args ((@list @t188 tptp.nil))) % 52.01/52.20 (step-pop @p644 :rule scope :premises (@p512)) % 52.01/52.20 (step @p513 :rule process_scope :premises (@p644) :args (@t263)) % 52.01/52.20 (step @p515 :rule eq_resolve :premises (@p513 @p510)) % 52.01/52.20 (step @p516 :rule implies_elim :premises (@p515)) % 52.01/52.20 (step @p517 :rule chain_m_resolution :premises (@p516 @p202) :args (@t266 (@list false) (@list @t264))) % 52.01/52.20 (step @p518 :rule eq-symm :args (@t63 tptp.nil)) % 52.01/52.20 (step @p519 :rule cong :premises (@p518) :args (@t73)) % 52.01/52.20 (step @p520 :rule nary_cong :premises (@p519 @p290 @p198) :args (@t74)) % 52.01/52.20 (step @p521 :rule cong :premises (@p520) :args (@t75)) % 52.01/52.20 (step @p522 :rule eq_resolve :premises (@p96 @p521)) % 52.01/52.20 (step @p523 :rule instantiate :premises (@p522) :args (@t190)) % 52.01/52.20 (step @p524 :rule cnf_or_pos :args (@t268)) % 52.01/52.20 (step @p525 :rule reordering :premises (@p524) :args ((or @t184 @t197 @t267 (not @t268)))) % 52.01/52.20 (step @p526 :rule chain_m_resolution :premises (@p525 @p8 @p282 @p523) :args (@t267 @t199 (@list @t1 @t192 @t268))) % 52.01/52.20 (step @p527 :rule cnf_or_pos :args (@t266)) % 52.01/52.20 (step @p528 :rule reordering :premises (@p527) :args ((or @t184 @t265 @t201 @t262 (not @t266)))) % 52.01/52.20 (step @p529 :rule chain_m_resolution :premises (@p528 @p8 @p526 @p285 @p517) :args (@t262 @t186 (@list @t1 @t265 @t196 @t266))) % 52.01/52.20 (step @p530 :rule refl :args (@t269)) % 52.01/52.20 (step @p531 :rule bool-double-not-elim :args (@t259)) % 52.01/52.20 (step @p532 :rule refl :args (@t177)) % 52.01/52.20 (step @p533 :rule nary_cong :premises (@p532 @p531 @p530) :args ((or @t177 (not @t260) @t269))) % 52.01/52.20 (assume-push @p645 @t262) % 52.01/52.20 (assume-push @p646 @t173) % 52.01/52.20 (assume-push @p647 @t260) % 52.01/52.20 (step @p537 :rule evaluate :args ((= false true))) % 52.01/52.20 (step @p538 :rule true_intro :premises (@p645)) % 52.01/52.20 (step @p539 :rule refl :args (@t188)) % 52.01/52.20 (step @p540 :rule symm :premises (@p646)) % 52.01/52.20 (step @p541 :rule cong :premises (@p540 @p539) :args (@t259)) % 52.01/52.20 (step @p542 :rule false_intro :premises (@p647)) % 52.01/52.20 (step @p543 :rule symm :premises (@p542)) % 52.01/52.20 (step @p544 :rule trans :premises (@p543 @p541 @p538)) % 52.01/52.20 (step @p545 false :rule eq_resolve :premises (@p544 @p537)) % 52.01/52.20 (step-pop @p648 :rule scope :premises (@p545)) % 52.01/52.20 (step-pop @p649 :rule scope :premises (@p648)) % 52.01/52.20 (step-pop @p650 :rule scope :premises (@p649)) % 52.01/52.20 (step @p546 :rule process_scope :premises (@p650) :args (false)) % 52.01/52.20 (assume-push @p651 @t173) % 52.01/52.20 (assume-push @p652 @t260) % 52.01/52.20 (assume-push @p653 @t262) % 52.01/52.20 (step @p553 :rule and_intro :premises (@p653 @p651 @p652)) % 52.01/52.20 (step-pop @p654 :rule scope :premises (@p553)) % 52.01/52.20 (step-pop @p655 :rule scope :premises (@p654)) % 52.01/52.20 (step-pop @p656 :rule scope :premises (@p655)) % 52.01/52.20 (step @p554 :rule process_scope :premises (@p656) :args (@t270)) % 52.01/52.20 (step @p558 :rule implies_elim :premises (@p554)) % 52.01/52.20 (step @p559 :rule resolution :premises (@p558 @p546) :args (true @t270)) % 52.01/52.20 (step @p560 :rule not_and :premises (@p559)) % 52.01/52.20 (step @p561 :rule eq_resolve :premises (@p560 @p533)) % 52.01/52.20 (step @p562 false :rule chain_m_resolution :premises (@p561 @p529 @p503 @p275) :args (false (@list false true false) (@list @t262 @t259 @t173))) % 52.01/52.20 ) % 52.01/52.21 % SZS output end Proof % 52.01/52.21 % cvc5 exiting %------------------------------------------------------------------------------