%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC315-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:58:50 AM UTC 2026 % Result : Unsatisfiable 2.02s 2.27s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC315-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:40:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.02/2.27 % SZS status Unsatisfiable % 2.02/2.27 % SZS output start Proof % 2.02/2.29 ( % 2.02/2.29 (declare-sort $$unsorted 0) % 2.02/2.29 (declare-const tptp.sk7 $$unsorted) % 2.02/2.29 (declare-const tptp.sk6 $$unsorted) % 2.02/2.29 (declare-const tptp.sk5 $$unsorted) % 2.02/2.29 (declare-const tptp.sk4 $$unsorted) % 2.02/2.29 (declare-const tptp.sk2 $$unsorted) % 2.02/2.29 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.sk8 $$unsorted) % 2.02/2.29 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.nil $$unsorted) % 2.02/2.29 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.sk1 $$unsorted) % 2.02/2.29 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.skac2 $$unsorted) % 2.02/2.29 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.sk3 $$unsorted) % 2.02/2.29 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.ssList (-> $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skac3 $$unsorted) % 2.02/2.29 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 2.02/2.29 (define @t1 () (tptp.ssList tptp.nil)) % 2.02/2.29 (define @t2 () (@var "U" $$unsorted)) % 2.02/2.29 (define @t3 () (tptp.skaf83 @t2)) % 2.02/2.29 (define @t4 () (@list @t2)) % 2.02/2.29 (define @t5 () (tptp.skaf82 @t2)) % 2.02/2.29 (define @t6 () (tptp.skaf81 @t2)) % 2.02/2.29 (define @t7 () (tptp.skaf80 @t2)) % 2.02/2.29 (define @t8 () (tptp.skaf79 @t2)) % 2.02/2.29 (define @t9 () (tptp.skaf78 @t2)) % 2.02/2.29 (define @t10 () (tptp.skaf77 @t2)) % 2.02/2.29 (define @t11 () (tptp.skaf76 @t2)) % 2.02/2.29 (define @t12 () (tptp.skaf75 @t2)) % 2.02/2.29 (define @t13 () (tptp.skaf74 @t2)) % 2.02/2.29 (define @t14 () (tptp.skaf73 @t2)) % 2.02/2.29 (define @t15 () (tptp.skaf72 @t2)) % 2.02/2.29 (define @t16 () (tptp.skaf71 @t2)) % 2.02/2.29 (define @t17 () (tptp.skaf70 @t2)) % 2.02/2.29 (define @t18 () (tptp.skaf69 @t2)) % 2.02/2.29 (define @t19 () (tptp.skaf68 @t2)) % 2.02/2.29 (define @t20 () (tptp.skaf67 @t2)) % 2.02/2.29 (define @t21 () (tptp.skaf66 @t2)) % 2.02/2.29 (define @t22 () (tptp.skaf65 @t2)) % 2.02/2.29 (define @t23 () (tptp.skaf64 @t2)) % 2.02/2.29 (define @t24 () (tptp.skaf63 @t2)) % 2.02/2.29 (define @t25 () (tptp.skaf62 @t2)) % 2.02/2.29 (define @t26 () (tptp.skaf61 @t2)) % 2.02/2.29 (define @t27 () (tptp.skaf60 @t2)) % 2.02/2.29 (define @t28 () (tptp.skaf59 @t2)) % 2.02/2.29 (define @t29 () (tptp.skaf58 @t2)) % 2.02/2.29 (define @t30 () (tptp.skaf57 @t2)) % 2.02/2.29 (define @t31 () (tptp.skaf56 @t2)) % 2.02/2.29 (define @t32 () (tptp.skaf55 @t2)) % 2.02/2.29 (define @t33 () (tptp.skaf54 @t2)) % 2.02/2.29 (define @t34 () (tptp.skaf53 @t2)) % 2.02/2.29 (define @t35 () (tptp.skaf52 @t2)) % 2.02/2.29 (define @t36 () (tptp.skaf51 @t2)) % 2.02/2.29 (define @t37 () (tptp.skaf50 @t2)) % 2.02/2.29 (define @t38 () (tptp.skaf49 @t2)) % 2.02/2.29 (define @t39 () (tptp.skaf44 @t2)) % 2.02/2.29 (define @t40 () (@var "V" $$unsorted)) % 2.02/2.29 (define @t41 () (@list @t2 @t40)) % 2.02/2.29 (define @t42 () (tptp.skaf47 @t2 @t40)) % 2.02/2.29 (define @t43 () (tptp.skaf46 @t2 @t40)) % 2.02/2.29 (define @t44 () (tptp.skaf45 @t2 @t40)) % 2.02/2.29 (define @t45 () (tptp.skaf42 @t2 @t40)) % 2.02/2.29 (define @t46 () (not (tptp.ssItem @t2))) % 2.02/2.29 (define @t47 () (not (tptp.ssList @t2))) % 2.02/2.29 (define @t48 () (tptp.cons @t2 tptp.nil)) % 2.02/2.29 (define @t49 () (tptp.ssItem @t40)) % 2.02/2.29 (define @t50 () (tptp.duplicatefreeP @t2)) % 2.02/2.29 (define @t51 () (or @t47 @t50 @t49)) % 2.02/2.29 (define @t52 () (forall @t41 @t51)) % 2.02/2.29 (define @t53 () (tptp.app tptp.nil @t2)) % 2.02/2.29 (define @t54 () (or @t47 (= @t53 @t2))) % 2.02/2.29 (define @t55 () (forall @t4 @t54)) % 2.02/2.29 (define @t56 () (= tptp.nil @t2)) % 2.02/2.29 (define @t57 () (tptp.tl @t2)) % 2.02/2.29 (define @t58 () (tptp.hd @t2)) % 2.02/2.29 (define @t59 () (tptp.segmentP tptp.nil @t2)) % 2.02/2.29 (define @t60 () (not @t56)) % 2.02/2.29 (define @t61 () (tptp.rearsegP tptp.nil @t2)) % 2.02/2.29 (define @t62 () (tptp.frontsegP tptp.nil @t2)) % 2.02/2.29 (define @t63 () (tptp.app @t40 @t2)) % 2.02/2.29 (define @t64 () (not (tptp.ssList @t40))) % 2.02/2.29 (define @t65 () (tptp.cons @t2 @t40)) % 2.02/2.29 (define @t66 () (tptp.cyclefreeP @t2)) % 2.02/2.29 (define @t67 () (tptp.equalelemsP @t2)) % 2.02/2.29 (define @t68 () (tptp.strictorderedP @t2)) % 2.02/2.29 (define @t69 () (tptp.totalorderedP @t2)) % 2.02/2.29 (define @t70 () (tptp.strictorderP @t2)) % 2.02/2.29 (define @t71 () (tptp.totalorderP @t2)) % 2.02/2.29 (define @t72 () (tptp.tl @t65)) % 2.02/2.29 (define @t73 () (or @t46 @t64 (= @t72 @t40))) % 2.02/2.29 (define @t74 () (forall @t41 @t73)) % 2.02/2.29 (define @t75 () (tptp.hd @t65)) % 2.02/2.29 (define @t76 () (or @t46 @t64 (= @t75 @t2))) % 2.02/2.29 (define @t77 () (forall @t41 @t76)) % 2.02/2.29 (define @t78 () (not (= @t65 tptp.nil))) % 2.02/2.29 (define @t79 () (or @t78 @t46 @t64)) % 2.02/2.29 (define @t80 () (forall @t41 @t79)) % 2.02/2.29 (define @t81 () (= @t40 @t2)) % 2.02/2.29 (define @t82 () (tptp.neq @t40 @t2)) % 2.02/2.29 (define @t83 () (or @t47 @t64 @t82 @t81)) % 2.02/2.29 (define @t84 () (forall @t41 @t83)) % 2.02/2.29 (define @t85 () (not @t49)) % 2.02/2.29 (define @t86 () (tptp.leq @t2 @t40)) % 2.02/2.29 (define @t87 () (tptp.lt @t2 @t40)) % 2.02/2.29 (define @t88 () (not @t87)) % 2.02/2.29 (define @t89 () (tptp.lt @t40 @t2)) % 2.02/2.29 (define @t90 () (not (tptp.gt @t2 @t40))) % 2.02/2.29 (define @t91 () (tptp.gt @t40 @t2)) % 2.02/2.29 (define @t92 () (tptp.leq @t40 @t2)) % 2.02/2.29 (define @t93 () (not (tptp.geq @t2 @t40))) % 2.02/2.29 (define @t94 () (tptp.geq @t40 @t2)) % 2.02/2.29 (define @t95 () (not @t86)) % 2.02/2.29 (define @t96 () (tptp.cons @t3 @t5)) % 2.02/2.29 (define @t97 () (or @t47 (= @t96 @t2) @t56)) % 2.02/2.29 (define @t98 () (forall @t4 @t97)) % 2.02/2.29 (define @t99 () (= @t2 @t40)) % 2.02/2.29 (define @t100 () (not @t99)) % 2.02/2.29 (define @t101 () (tptp.cons @t40 @t2)) % 2.02/2.29 (define @t102 () (not (tptp.neq @t2 @t40))) % 2.02/2.29 (define @t103 () (tptp.app @t2 @t40)) % 2.02/2.29 (define @t104 () (= @t103 tptp.nil)) % 2.02/2.29 (define @t105 () (not @t104)) % 2.02/2.29 (define @t106 () (= tptp.nil @t40)) % 2.02/2.29 (define @t107 () (tptp.app @t48 @t40)) % 2.02/2.29 (define @t108 () (or @t46 @t64 (= @t107 @t65))) % 2.02/2.29 (define @t109 () (forall @t41 @t108)) % 2.02/2.29 (define @t110 () (tptp.hd @t40)) % 2.02/2.29 (define @t111 () (forall @t41 (or @t47 @t64 @t106 (= (tptp.hd @t63) @t110)))) % 2.02/2.29 (define @t112 () (tptp.strictorderedP @t40)) % 2.02/2.29 (define @t113 () (tptp.strictorderedP @t65)) % 2.02/2.29 (define @t114 () (not @t113)) % 2.02/2.29 (define @t115 () (tptp.totalorderedP @t40)) % 2.02/2.29 (define @t116 () (tptp.totalorderedP @t65)) % 2.02/2.29 (define @t117 () (not @t116)) % 2.02/2.29 (define @t118 () (not (tptp.segmentP @t2 @t40))) % 2.02/2.29 (define @t119 () (not (tptp.rearsegP @t2 @t40))) % 2.02/2.29 (define @t120 () (not (tptp.frontsegP @t2 @t40))) % 2.02/2.29 (define @t121 () (not @t92)) % 2.02/2.29 (define @t122 () (tptp.tl @t40)) % 2.02/2.29 (define @t123 () (tptp.lt @t2 @t110)) % 2.02/2.29 (define @t124 () (tptp.leq @t2 @t110)) % 2.02/2.29 (define @t125 () (@var "W" $$unsorted)) % 2.02/2.29 (define @t126 () (tptp.app @t125 @t2)) % 2.02/2.29 (define @t127 () (not (tptp.ssList @t125))) % 2.02/2.29 (define @t128 () (@list @t2 @t40 @t125)) % 2.02/2.29 (define @t129 () (tptp.app @t2 @t125)) % 2.02/2.29 (define @t130 () (tptp.cons @t40 @t125)) % 2.02/2.29 (define @t131 () (tptp.cons @t125 @t2)) % 2.02/2.29 (define @t132 () (not (tptp.ssItem @t125))) % 2.02/2.29 (define @t133 () (not (tptp.memberP @t2 @t40))) % 2.02/2.29 (define @t134 () (not (= @t103 @t125))) % 2.02/2.29 (define @t135 () (tptp.frontsegP @t125 @t2)) % 2.02/2.29 (define @t136 () (or @t134 @t64 @t47 @t127 @t135)) % 2.02/2.29 (define @t137 () (forall @t128 @t136)) % 2.02/2.29 (define @t138 () (tptp.lt @t2 @t125)) % 2.02/2.29 (define @t139 () (not (tptp.lt @t40 @t125))) % 2.02/2.29 (define @t140 () (tptp.app @t125 @t40)) % 2.02/2.29 (define @t141 () (= @t40 @t125)) % 2.02/2.29 (define @t142 () (= @t2 @t125)) % 2.02/2.29 (define @t143 () (tptp.memberP @t40 @t125)) % 2.02/2.29 (define @t144 () (@var "X" $$unsorted)) % 2.02/2.29 (define @t145 () (not (tptp.ssList @t144))) % 2.02/2.29 (define @t146 () (tptp.cons @t125 @t144)) % 2.02/2.29 (define @t147 () (not (= @t65 @t146))) % 2.02/2.29 (define @t148 () (@list @t2 @t40 @t125 @t144)) % 2.02/2.29 (define @t149 () (not (tptp.frontsegP @t65 @t146))) % 2.02/2.29 (define @t150 () (tptp.app @t2 @t130)) % 2.02/2.29 (define @t151 () (not (tptp.ssItem @t144))) % 2.02/2.29 (define @t152 () (@var "Y" $$unsorted)) % 2.02/2.29 (define @t153 () (not (tptp.ssList @t152))) % 2.02/2.29 (define @t154 () (not (tptp.duplicatefreeP @t152))) % 2.02/2.29 (define @t155 () (tptp.app @t150 (tptp.cons @t40 @t144))) % 2.02/2.29 (define @t156 () (not (= @t155 @t152))) % 2.02/2.29 (define @t157 () (or @t156 @t145 @t127 @t47 @t85 @t154 @t153)) % 2.02/2.29 (define @t158 () (@list @t2 @t40 @t125 @t144 @t152)) % 2.02/2.29 (define @t159 () (forall @t158 @t157)) % 2.02/2.29 (define @t160 () (tptp.lt @t40 @t144)) % 2.02/2.29 (define @t161 () (@var "Z" $$unsorted)) % 2.02/2.29 (define @t162 () (not (tptp.ssList @t161))) % 2.02/2.29 (define @t163 () (not (= (tptp.app @t150 (tptp.cons @t144 @t152)) @t161))) % 2.02/2.29 (define @t164 () (@list @t2 @t40 @t125 @t144 @t152 @t161)) % 2.02/2.29 (define @t165 () (tptp.leq @t40 @t144)) % 2.02/2.29 (define @t166 () (tptp.ssList tptp.sk2)) % 2.02/2.29 (define @t167 () (tptp.ssList tptp.sk4)) % 2.02/2.29 (define @t168 () (= tptp.sk2 tptp.sk4)) % 2.02/2.29 (define @t169 () (= tptp.sk1 tptp.sk3)) % 2.02/2.29 (define @t170 () (= tptp.nil tptp.sk4)) % 2.02/2.29 (define @t171 () (not @t170)) % 2.02/2.29 (define @t172 () (= tptp.nil tptp.sk3)) % 2.02/2.29 (define @t173 () (= tptp.nil tptp.sk2)) % 2.02/2.29 (define @t174 () (tptp.ssItem tptp.sk5)) % 2.02/2.29 (define @t175 () (= tptp.nil tptp.sk1)) % 2.02/2.29 (define @t176 () (not @t175)) % 2.02/2.29 (define @t177 () (tptp.ssList tptp.sk6)) % 2.02/2.29 (define @t178 () (tptp.cons tptp.sk5 tptp.nil)) % 2.02/2.29 (define @t179 () (tptp.app @t178 tptp.sk6)) % 2.02/2.29 (define @t180 () (= @t179 tptp.sk2)) % 2.02/2.29 (define @t181 () (or @t180 @t173)) % 2.02/2.29 (define @t182 () (tptp.app tptp.sk6 @t178)) % 2.02/2.29 (define @t183 () (not (= @t182 tptp.sk1))) % 2.02/2.29 (define @t184 () (or @t183 @t173)) % 2.02/2.29 (define @t185 () (or @t180 @t176)) % 2.02/2.29 (define @t186 () (tptp.neq tptp.sk4 tptp.nil)) % 2.02/2.29 (define @t187 () (not @t186)) % 2.02/2.29 (define @t188 () (tptp.ssItem tptp.sk7)) % 2.02/2.29 (define @t189 () (tptp.ssList tptp.sk8)) % 2.02/2.29 (define @t190 () (tptp.cons tptp.sk7 tptp.nil)) % 2.02/2.29 (define @t191 () (tptp.app @t190 tptp.sk8)) % 2.02/2.29 (define @t192 () (or (= @t191 tptp.sk4) @t187)) % 2.02/2.29 (define @t193 () (tptp.app tptp.sk8 @t190)) % 2.02/2.29 (define @t194 () (or (= @t193 tptp.sk3) @t187)) % 2.02/2.29 (define @t195 () (= tptp.sk2 @t179)) % 2.02/2.29 (define @t196 () (and @t168 @t173)) % 2.02/2.29 (define @t197 () (not @t168)) % 2.02/2.29 (define @t198 () (not @t172)) % 2.02/2.29 (define @t199 () (not @t169)) % 2.02/2.29 (define @t200 () (and @t169 @t176)) % 2.02/2.29 (define @t201 () (not @t167)) % 2.02/2.29 (define @t202 () (not @t1)) % 2.02/2.29 (define @t203 () (or @t202 @t201 @t186 @t170)) % 2.02/2.29 (define @t204 () (= tptp.sk1 @t182)) % 2.02/2.29 (define @t205 () (@list tptp.sk2)) % 2.02/2.29 (define @t206 () (tptp.skaf82 tptp.sk2)) % 2.02/2.29 (define @t207 () (tptp.skaf83 tptp.sk2)) % 2.02/2.29 (define @t208 () (tptp.cons @t207 @t206)) % 2.02/2.29 (define @t209 () (= tptp.sk2 @t208)) % 2.02/2.29 (define @t210 () (not @t166)) % 2.02/2.29 (define @t211 () (or @t210 @t209 @t173)) % 2.02/2.29 (define @t212 () (= tptp.sk4 @t191)) % 2.02/2.29 (define @t213 () (= tptp.sk3 @t193)) % 2.02/2.29 (define @t214 () (@list tptp.sk5 tptp.nil)) % 2.02/2.29 (define @t215 () (tptp.ssList @t178)) % 2.02/2.29 (define @t216 () (not @t174)) % 2.02/2.29 (define @t217 () (or @t216 @t202 @t215)) % 2.02/2.29 (define @t218 () (tptp.tl @t178)) % 2.02/2.29 (define @t219 () (= tptp.nil @t218)) % 2.02/2.29 (define @t220 () (or @t216 @t202 @t219)) % 2.02/2.29 (define @t221 () (tptp.hd @t178)) % 2.02/2.29 (define @t222 () (= tptp.sk5 @t221)) % 2.02/2.29 (define @t223 () (or @t216 @t202 @t222)) % 2.02/2.29 (define @t224 () (= tptp.nil @t178)) % 2.02/2.29 (define @t225 () (not @t224)) % 2.02/2.29 (define @t226 () (or @t225 @t216 @t202)) % 2.02/2.29 (define @t227 () (tptp.app tptp.nil tptp.sk6)) % 2.02/2.29 (define @t228 () (= tptp.sk6 @t227)) % 2.02/2.29 (define @t229 () (not @t177)) % 2.02/2.29 (define @t230 () (or @t229 @t228)) % 2.02/2.29 (define @t231 () (tptp.app tptp.nil tptp.sk8)) % 2.02/2.29 (define @t232 () (= tptp.sk8 @t231)) % 2.02/2.29 (define @t233 () (not @t189)) % 2.02/2.29 (define @t234 () (or @t233 @t232)) % 2.02/2.29 (define @t235 () (@list tptp.sk7 tptp.nil)) % 2.02/2.29 (define @t236 () (not (tptp.ssList @t155))) % 2.02/2.29 (define @t237 () (not (tptp.duplicatefreeP @t155))) % 2.02/2.29 (define @t238 () (not (= @t155 @t155))) % 2.02/2.29 (define @t239 () (or @t238 @t145 @t127 @t47 @t85 @t237 @t236)) % 2.02/2.29 (define @t240 () (not (= @t152 @t155))) % 2.02/2.29 (define @t241 () (or @t240 @t240 @t145 @t127 @t47 @t85 @t154 @t153)) % 2.02/2.29 (define @t242 () (@list @t152)) % 2.02/2.29 (define @t243 () (or @t240 @t145 @t127 @t47 @t85 @t154 @t153)) % 2.02/2.29 (define @t244 () (forall @t242 @t243)) % 2.02/2.29 (define @t245 () (forall @t148 @t244)) % 2.02/2.29 (define @t246 () (tptp.skaf77 tptp.sk1)) % 2.02/2.29 (define @t247 () (tptp.skaf76 tptp.sk1)) % 2.02/2.29 (define @t248 () (tptp.skaf74 tptp.sk1)) % 2.02/2.29 (define @t249 () (tptp.skaf75 tptp.sk1)) % 2.02/2.29 (define @t250 () (tptp.cons @t248 @t247)) % 2.02/2.29 (define @t251 () (tptp.app @t249 @t250)) % 2.02/2.29 (define @t252 () (tptp.cons @t248 @t246)) % 2.02/2.29 (define @t253 () (@list tptp.sk1)) % 2.02/2.29 (define @t254 () (tptp.ssList @t250)) % 2.02/2.29 (define @t255 () (tptp.ssList @t247)) % 2.02/2.29 (define @t256 () (not @t255)) % 2.02/2.29 (define @t257 () (tptp.ssItem @t248)) % 2.02/2.29 (define @t258 () (not @t257)) % 2.02/2.29 (define @t259 () (or @t258 @t256 @t254)) % 2.02/2.29 (define @t260 () (@list false false false)) % 2.02/2.29 (define @t261 () (tptp.ssList @t251)) % 2.02/2.29 (define @t262 () (tptp.ssList @t249)) % 2.02/2.29 (define @t263 () (not @t262)) % 2.02/2.29 (define @t264 () (not @t254)) % 2.02/2.29 (define @t265 () (or @t264 @t263 @t261)) % 2.02/2.29 (define @t266 () (tptp.ssList @t252)) % 2.02/2.29 (define @t267 () (tptp.ssList @t246)) % 2.02/2.29 (define @t268 () (not @t267)) % 2.02/2.29 (define @t269 () (or @t258 @t268 @t266)) % 2.02/2.29 (define @t270 () (tptp.app @t251 @t252)) % 2.02/2.29 (define @t271 () (tptp.ssList @t270)) % 2.02/2.29 (define @t272 () (not @t261)) % 2.02/2.29 (define @t273 () (not @t266)) % 2.02/2.29 (define @t274 () (or @t273 @t272 @t271)) % 2.02/2.29 (define @t275 () (not @t271)) % 2.02/2.29 (define @t276 () (tptp.duplicatefreeP @t270)) % 2.02/2.29 (define @t277 () (not @t276)) % 2.02/2.29 (define @t278 () (or @t268 @t256 @t263 @t258 @t277 @t275)) % 2.02/2.29 (define @t279 () (or @t275 @t276)) % 2.02/2.29 (define @t280 () (not @t279)) % 2.02/2.29 (define @t281 () (or @t47 @t50)) % 2.02/2.29 (define @t282 () (forall @t4 @t281)) % 2.02/2.29 (define @t283 () (@list true)) % 2.02/2.29 (define @t284 () (forall (@list @t40) @t49)) % 2.02/2.29 (define @t285 () (or @t281 @t49)) % 2.02/2.29 (define @t286 () (@list false)) % 2.02/2.29 (define @t287 () (not @t188)) % 2.02/2.29 (define @t288 () (= tptp.nil @t190)) % 2.02/2.29 (define @t289 () (not @t288)) % 2.02/2.29 (define @t290 () (or @t289 @t287 @t202)) % 2.02/2.29 (define @t291 () (tptp.hd @t191)) % 2.02/2.29 (define @t292 () (tptp.hd @t190)) % 2.02/2.29 (define @t293 () (tptp.ssList @t190)) % 2.02/2.29 (define @t294 () (not @t293)) % 2.02/2.29 (define @t295 () (or @t233 @t294 @t288 (= @t291 @t292))) % 2.02/2.29 (define @t296 () (@list tptp.sk8 @t190)) % 2.02/2.29 (define @t297 () (= @t292 @t291)) % 2.02/2.29 (define @t298 () (or @t233 @t294 @t288 @t297)) % 2.02/2.29 (define @t299 () (@list @t111)) % 2.02/2.29 (define @t300 () (or @t287 @t202 @t293)) % 2.02/2.29 (define @t301 () (tptp.tl @t190)) % 2.02/2.29 (define @t302 () (tptp.tl @t191)) % 2.02/2.29 (define @t303 () (= @t302 (tptp.app @t301 tptp.sk8))) % 2.02/2.29 (define @t304 () (or @t233 @t294 @t288 @t303)) % 2.02/2.29 (define @t305 () (tptp.hd @t179)) % 2.02/2.29 (define @t306 () (not @t215)) % 2.02/2.29 (define @t307 () (or @t229 @t306 @t224 (= @t305 @t221))) % 2.02/2.29 (define @t308 () (@list tptp.sk6 @t178)) % 2.02/2.29 (define @t309 () (= @t221 @t305)) % 2.02/2.29 (define @t310 () (or @t229 @t306 @t224 @t309)) % 2.02/2.29 (define @t311 () (tptp.app @t218 tptp.sk6)) % 2.02/2.29 (define @t312 () (= (tptp.tl @t179) @t311)) % 2.02/2.29 (define @t313 () (or @t229 @t306 @t224 @t312)) % 2.02/2.29 (define @t314 () (tptp.hd @t208)) % 2.02/2.29 (define @t315 () (= @t207 @t314)) % 2.02/2.29 (define @t316 () (tptp.ssList @t206)) % 2.02/2.29 (define @t317 () (not @t316)) % 2.02/2.29 (define @t318 () (tptp.ssItem @t207)) % 2.02/2.29 (define @t319 () (not @t318)) % 2.02/2.29 (define @t320 () (or @t319 @t317 @t315)) % 2.02/2.29 (define @t321 () (= tptp.nil @t301)) % 2.02/2.29 (define @t322 () (or @t287 @t202 @t321)) % 2.02/2.29 (define @t323 () (= tptp.sk7 @t292)) % 2.02/2.29 (define @t324 () (or @t287 @t202 @t323)) % 2.02/2.29 (define @t325 () (tptp.app @t190 tptp.nil)) % 2.02/2.29 (define @t326 () (= @t190 @t325)) % 2.02/2.29 (define @t327 () (or @t287 @t202 @t326)) % 2.02/2.29 (define @t328 () (tptp.tl tptp.sk2)) % 2.02/2.29 (define @t329 () (and @t168 @t169 @t195 @t212 @t213 @t228 @t219 @t222 @t209 @t309 @t232 @t321 @t323 @t315 @t326 @t297 @t303 @t312)) % 2.02/2.29 (define @t330 () (not @t195)) % 2.02/2.29 (define @t331 () (tptp.frontsegP @t103 @t2)) % 2.02/2.29 (define @t332 () (not (tptp.ssList @t103))) % 2.02/2.29 (define @t333 () (not (= @t103 @t103))) % 2.02/2.29 (define @t334 () (or @t333 @t64 @t47 @t332 @t331)) % 2.02/2.29 (define @t335 () (@list @t125)) % 2.02/2.29 (define @t336 () (or @t134 @t134 @t64 @t47 @t127 @t135)) % 2.02/2.29 (define @t337 () (forall @t335 @t136)) % 2.02/2.29 (define @t338 () (forall @t41 @t337)) % 2.02/2.29 (define @t339 () (tptp.ssList @t179)) % 2.02/2.29 (define @t340 () (and @t166 @t195)) % 2.02/2.29 (define @t341 () (@list false false)) % 2.02/2.29 (define @t342 () (@list @t175)) % 2.02/2.29 (define @t343 () (tptp.frontsegP @t179 @t178)) % 2.02/2.29 (define @t344 () (not @t339)) % 2.02/2.29 (define @t345 () (or @t229 @t306 @t344 @t343)) % 2.02/2.29 (define @t346 () (tptp.frontsegP tptp.nil @t178)) % 2.02/2.29 (define @t347 () (not @t346)) % 2.02/2.29 (define @t348 () (or @t347 @t306 @t224)) % 2.02/2.29 (define @t349 () (and @t168 @t170 @t195 @t343)) % 2.02/2.29 (assume @p1 (tptp.equalelemsP tptp.nil)) % 2.02/2.29 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 2.02/2.29 (assume @p3 (tptp.strictorderedP tptp.nil)) % 2.02/2.29 (assume @p4 (tptp.totalorderedP tptp.nil)) % 2.02/2.29 (assume @p5 (tptp.strictorderP tptp.nil)) % 2.02/2.29 (assume @p6 (tptp.totalorderP tptp.nil)) % 2.02/2.29 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 2.02/2.29 (assume @p8 @t1) % 2.02/2.29 (assume @p9 (tptp.ssItem tptp.skac3)) % 2.02/2.29 (assume @p10 (tptp.ssItem tptp.skac2)) % 2.02/2.29 (assume @p11 (not (tptp.singletonP tptp.nil))) % 2.02/2.29 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 2.02/2.29 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 2.02/2.29 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 2.02/2.29 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 2.02/2.29 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 2.02/2.29 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 2.02/2.29 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 2.02/2.29 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 2.02/2.29 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 2.02/2.29 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 2.02/2.29 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 2.02/2.29 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 2.02/2.29 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 2.02/2.29 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 2.02/2.29 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 2.02/2.29 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 2.02/2.29 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 2.02/2.29 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 2.02/2.29 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 2.02/2.29 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 2.02/2.29 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 2.02/2.29 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 2.02/2.29 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 2.02/2.29 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 2.02/2.29 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 2.02/2.29 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 2.02/2.29 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 2.02/2.29 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 2.02/2.29 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 2.02/2.29 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 2.02/2.29 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 2.02/2.29 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 2.02/2.29 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 2.02/2.29 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 2.02/2.29 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 2.02/2.29 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 2.02/2.29 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 2.02/2.29 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 2.02/2.29 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 2.02/2.29 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 2.02/2.29 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 2.02/2.29 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 2.02/2.29 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 2.02/2.29 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 2.02/2.29 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 2.02/2.29 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 2.02/2.29 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 2.02/2.29 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 2.02/2.29 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 2.02/2.29 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 2.02/2.29 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 2.02/2.29 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 2.02/2.29 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 2.02/2.29 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 2.02/2.29 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 2.02/2.29 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 2.02/2.29 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 2.02/2.29 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 2.02/2.29 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 2.02/2.29 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 2.02/2.29 (assume @p72 @t52) % 2.02/2.29 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 2.02/2.29 (assume @p74 @t55) % 2.02/2.29 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t57) @t56))) % 2.02/2.29 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t58) @t56))) % 2.02/2.29 (assume @p77 (forall @t4 (or @t60 @t47 @t59))) % 2.02/2.29 (assume @p78 (forall @t4 (or (not @t59) @t47 @t56))) % 2.02/2.29 (assume @p79 (forall @t4 (or @t60 @t47 @t61))) % 2.02/2.29 (assume @p80 (forall @t4 (or (not @t61) @t47 @t56))) % 2.02/2.29 (assume @p81 (forall @t4 (or @t60 @t47 @t62))) % 2.02/2.29 (assume @p82 (forall @t4 (or (not @t62) @t47 @t56))) % 2.02/2.29 (assume @p83 (forall @t41 (or @t47 @t64 (tptp.ssList @t63)))) % 2.02/2.29 (assume @p84 (forall @t41 (or @t46 @t64 (tptp.ssList @t65)))) % 2.02/2.29 (assume @p85 (forall @t4 (or @t47 @t66 (tptp.leq @t37 @t38)))) % 2.02/2.29 (assume @p86 (forall @t4 (or @t47 @t66 (tptp.leq @t38 @t37)))) % 2.02/2.29 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t67))) % 2.02/2.29 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t68))) % 2.02/2.29 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t69))) % 2.02/2.29 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t70))) % 2.02/2.29 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t70))) % 2.02/2.29 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t71))) % 2.02/2.29 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t71))) % 2.02/2.29 (assume @p94 @t74) % 2.02/2.29 (assume @p95 @t77) % 2.02/2.29 (assume @p96 @t80) % 2.02/2.29 (assume @p97 (forall @t41 (or (not (= @t65 @t40)) @t46 @t64))) % 2.02/2.29 (assume @p98 @t84) % 2.02/2.29 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 2.02/2.29 (assume @p100 (forall @t41 (or @t46 @t85 @t82 @t81))) % 2.02/2.29 (assume @p101 (forall @t41 (or @t88 @t85 @t46 @t86))) % 2.02/2.29 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t58 @t57) @t2) @t56))) % 2.02/2.29 (assume @p103 (forall @t41 (or @t90 @t85 @t46 @t89))) % 2.02/2.29 (assume @p104 (forall @t41 (or @t88 @t46 @t85 @t91))) % 2.02/2.29 (assume @p105 (forall @t41 (or @t93 @t85 @t46 @t92))) % 2.02/2.29 (assume @p106 (forall @t41 (or @t95 @t46 @t85 @t94))) % 2.02/2.29 (assume @p107 @t98) % 2.02/2.29 (assume @p108 (forall @t41 (or @t90 (not @t91) @t46 @t85))) % 2.02/2.29 (assume @p109 (forall @t41 (or @t100 @t88 @t85 @t46))) % 2.02/2.29 (assume @p110 (forall @t41 (or @t60 @t47 @t85 (tptp.strictorderedP @t101)))) % 2.02/2.29 (assume @p111 (forall @t41 (or @t60 @t47 @t85 (tptp.totalorderedP @t101)))) % 2.02/2.29 (assume @p112 (forall @t41 (or @t88 (not @t89) @t46 @t85))) % 2.02/2.29 (assume @p113 (forall @t41 (or @t100 @t102 @t64 @t47))) % 2.02/2.29 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t64 (tptp.singletonP @t40)))) % 2.02/2.29 (assume @p115 (forall @t41 (or @t100 @t102 @t85 @t46))) % 2.02/2.29 (assume @p116 (forall @t41 (or @t105 @t64 @t47 @t56))) % 2.02/2.29 (assume @p117 (forall @t41 (or @t105 @t64 @t47 @t106))) % 2.02/2.29 (assume @p118 @t109) % 2.02/2.29 (assume @p119 (forall @t41 (or @t95 @t85 @t46 @t87 @t99))) % 2.02/2.29 (assume @p120 @t111) % 2.02/2.29 (assume @p121 (forall @t41 (or @t114 @t64 @t46 @t112 @t106))) % 2.02/2.29 (assume @p122 (forall @t41 (or @t117 @t64 @t46 @t115 @t106))) % 2.02/2.29 (assume @p123 (forall @t41 (or @t93 (not @t94) @t46 @t85 @t81))) % 2.02/2.29 (assume @p124 (forall @t41 (or @t118 (not (tptp.segmentP @t40 @t2)) @t47 @t64 @t81))) % 2.02/2.29 (assume @p125 (forall @t41 (or @t119 (not (tptp.rearsegP @t40 @t2)) @t47 @t64 @t81))) % 2.02/2.29 (assume @p126 (forall @t41 (or @t120 (not (tptp.frontsegP @t40 @t2)) @t47 @t64 @t81))) % 2.02/2.29 (assume @p127 (forall @t41 (or @t95 @t121 @t46 @t85 @t81))) % 2.02/2.29 (assume @p128 (forall @t41 (or @t119 @t64 @t47 (= (tptp.app @t43 @t40) @t2)))) % 2.02/2.29 (assume @p129 (forall @t41 (or @t120 @t64 @t47 (= (tptp.app @t40 @t44) @t2)))) % 2.02/2.29 (assume @p130 (forall @t41 (or @t47 @t64 @t106 (= (tptp.tl @t63) (tptp.app @t122 @t2))))) % 2.02/2.29 (assume @p131 (forall @t41 (or @t114 @t64 @t46 @t123 @t106))) % 2.02/2.29 (assume @p132 (forall @t41 (or @t117 @t64 @t46 @t124 @t106))) % 2.02/2.29 (assume @p133 (forall @t128 (or @t119 @t127 @t64 @t47 (tptp.rearsegP @t126 @t40)))) % 2.02/2.29 (assume @p134 (forall @t128 (or @t120 @t127 @t64 @t47 (tptp.frontsegP @t129 @t40)))) % 2.02/2.29 (assume @p135 (forall @t128 (or @t100 @t127 @t85 @t46 (tptp.memberP @t130 @t2)))) % 2.02/2.29 (assume @p136 (forall @t128 (or @t133 @t47 @t132 @t85 (tptp.memberP @t131 @t40)))) % 2.02/2.29 (assume @p137 (forall @t128 (or @t133 @t127 @t47 @t85 (tptp.memberP @t129 @t40)))) % 2.02/2.29 (assume @p138 (forall @t128 (or @t133 @t47 @t127 @t85 (tptp.memberP @t126 @t40)))) % 2.02/2.29 (assume @p139 (forall @t4 (or @t47 @t67 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 2.02/2.29 (assume @p140 (forall @t128 (or @t134 @t47 @t64 @t127 (tptp.rearsegP @t125 @t40)))) % 2.02/2.29 (assume @p141 @t137) % 2.02/2.29 (assume @p142 (forall @t41 (or @t60 (not @t106) @t64 @t47 @t104))) % 2.02/2.29 (assume @p143 (forall @t128 (or @t90 (not (tptp.gt @t40 @t125)) @t132 @t85 @t46 (tptp.gt @t2 @t125)))) % 2.02/2.29 (assume @p144 (forall @t128 (or @t95 @t139 @t132 @t85 @t46 @t138))) % 2.02/2.29 (assume @p145 (forall @t128 (or @t93 (not (tptp.geq @t40 @t125)) @t132 @t85 @t46 (tptp.geq @t2 @t125)))) % 2.02/2.29 (assume @p146 (forall @t128 (or @t47 @t64 @t127 (= (tptp.app @t140 @t2) (tptp.app @t125 @t63))))) % 2.02/2.29 (assume @p147 (forall @t128 (or (not (= @t103 @t129)) @t64 @t47 @t127 @t141))) % 2.02/2.29 (assume @p148 (forall @t128 (or (not (= @t103 @t140)) @t47 @t64 @t127 @t142))) % 2.02/2.29 (assume @p149 (forall @t128 (or @t118 (not (tptp.segmentP @t40 @t125)) @t127 @t64 @t47 (tptp.segmentP @t2 @t125)))) % 2.02/2.29 (assume @p150 (forall @t128 (or @t119 (not (tptp.rearsegP @t40 @t125)) @t127 @t64 @t47 (tptp.rearsegP @t2 @t125)))) % 2.02/2.29 (assume @p151 (forall @t128 (or @t120 (not (tptp.frontsegP @t40 @t125)) @t127 @t64 @t47 (tptp.frontsegP @t2 @t125)))) % 2.02/2.29 (assume @p152 (forall @t128 (or @t88 @t139 @t132 @t85 @t46 @t138))) % 2.02/2.29 (assume @p153 (forall @t128 (or @t95 (not (tptp.leq @t40 @t125)) @t132 @t85 @t46 (tptp.leq @t2 @t125)))) % 2.02/2.29 (assume @p154 (forall @t128 (or @t46 @t64 @t127 (= (tptp.cons @t2 (tptp.app @t40 @t125)) (tptp.app @t65 @t125))))) % 2.02/2.29 (assume @p155 (forall @t128 (or (not (tptp.memberP @t103 @t125)) @t64 @t47 @t132 @t143 (tptp.memberP @t2 @t125)))) % 2.02/2.29 (assume @p156 (forall @t41 (or (not @t124) (not @t115) @t64 @t46 @t116 @t106))) % 2.02/2.29 (assume @p157 (forall @t41 (or (not @t123) (not @t112) @t64 @t46 @t113 @t106))) % 2.02/2.29 (assume @p158 (forall @t128 (or (not (tptp.memberP @t65 @t125)) @t64 @t46 @t132 @t143 (= @t125 @t2)))) % 2.02/2.29 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 2.02/2.29 (assume @p160 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 2.02/2.29 (assume @p161 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 2.02/2.29 (assume @p162 (forall @t4 (or @t47 @t70 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 2.02/2.29 (assume @p163 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 2.02/2.29 (assume @p164 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 2.02/2.29 (assume @p165 (forall @t41 (or @t118 @t64 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 2.02/2.29 (assume @p166 (forall @t41 (or @t133 @t85 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 2.02/2.29 (assume @p167 (forall @t148 (or @t147 @t132 @t46 @t145 @t64 @t142))) % 2.02/2.29 (assume @p168 (forall @t148 (or @t147 @t132 @t46 @t145 @t64 (= @t144 @t40)))) % 2.02/2.29 (assume @p169 (forall @t148 (or @t118 @t127 @t145 @t64 @t47 (tptp.segmentP (tptp.app (tptp.app @t144 @t2) @t125) @t40)))) % 2.02/2.29 (assume @p170 (forall @t148 (or (not (= (tptp.app @t103 @t125) @t144)) @t127 @t47 @t64 @t145 (tptp.segmentP @t144 @t40)))) % 2.02/2.29 (assume @p171 (forall @t148 (or @t149 @t145 @t64 @t132 @t46 (tptp.frontsegP @t40 @t144)))) % 2.02/2.29 (assume @p172 (forall @t148 (or (not (= @t150 @t144)) @t127 @t47 @t85 @t145 (tptp.memberP @t144 @t40)))) % 2.02/2.29 (assume @p173 (forall @t148 (or @t149 @t145 @t64 @t132 @t46 @t142))) % 2.02/2.29 (assume @p174 (forall @t41 (or (not (= @t57 @t122)) (not (= @t58 @t110)) @t47 @t64 @t106 @t99 @t56))) % 2.02/2.29 (assume @p175 (forall @t148 (or @t120 (not (= @t125 @t144)) @t64 @t47 @t151 @t132 (tptp.frontsegP @t131 (tptp.cons @t144 @t40))))) % 2.02/2.29 (assume @p176 @t159) % 2.02/2.29 (assume @p177 (forall @t158 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t146)) @t152)) @t145 @t47 @t132 @t85 (not (tptp.equalelemsP @t152)) @t153 @t141))) % 2.02/2.29 (assume @p178 (forall @t164 (or @t163 @t153 @t127 @t47 @t151 @t85 (not (tptp.strictorderedP @t161)) @t162 @t160))) % 2.02/2.29 (assume @p179 (forall @t164 (or @t163 @t153 @t127 @t47 @t151 @t85 (not (tptp.totalorderedP @t161)) @t162 @t165))) % 2.02/2.29 (assume @p180 (forall @t164 (or @t163 @t153 @t127 @t47 @t151 @t85 (not (tptp.strictorderP @t161)) @t162 @t160 (tptp.lt @t144 @t40)))) % 2.02/2.29 (assume @p181 (forall @t164 (or @t163 @t153 @t127 @t47 @t151 @t85 (not (tptp.totalorderP @t161)) @t162 @t165 (tptp.leq @t144 @t40)))) % 2.02/2.29 (assume @p182 (forall @t164 (or @t95 @t121 (not (= (tptp.app (tptp.app @t125 (tptp.cons @t2 @t144)) (tptp.cons @t40 @t152)) @t161)) @t153 @t145 @t127 @t85 @t46 (not (tptp.cyclefreeP @t161)) @t162))) % 2.02/2.29 (assume @p183 (tptp.ssList tptp.sk1)) % 2.02/2.29 (assume @p184 @t166) % 2.02/2.29 (assume @p185 (tptp.ssList tptp.sk3)) % 2.02/2.29 (assume @p186 @t167) % 2.02/2.29 (assume @p187 @t168) % 2.02/2.29 (assume @p188 @t169) % 2.02/2.29 (assume @p189 (or @t172 @t171)) % 2.02/2.29 (assume @p190 (or @t174 @t173)) % 2.02/2.29 (assume @p191 (or @t174 @t176)) % 2.02/2.29 (assume @p192 (or @t177 @t173)) % 2.02/2.29 (assume @p193 @t181) % 2.02/2.29 (assume @p194 @t184) % 2.02/2.29 (assume @p195 (or @t177 @t176)) % 2.02/2.29 (assume @p196 @t185) % 2.02/2.29 (assume @p197 (or @t183 @t176)) % 2.02/2.29 (assume @p198 (or @t188 @t187)) % 2.02/2.29 (assume @p199 (or @t189 @t187)) % 2.02/2.29 (assume @p200 @t192) % 2.02/2.29 (assume @p201 @t194) % 2.02/2.29 (step @p202 :rule refl :args (@t173)) % 2.02/2.29 (step @p203 :rule eq-symm :args (@t179 tptp.sk2)) % 2.02/2.29 (step @p204 :rule nary_cong :premises (@p203 @p202) :args (@t181)) % 2.02/2.29 (step @p205 :rule eq_resolve :premises (@p193 @p204)) % 2.02/2.29 (step @p206 :rule reordering :premises (@p205) :args ((or @t173 @t195))) % 2.02/2.29 (step @p207 :rule refl :args (@t176)) % 2.02/2.29 (step @p208 :rule nary_cong :premises (@p203 @p207) :args (@t185)) % 2.02/2.29 (step @p209 :rule eq_resolve :premises (@p196 @p208)) % 2.02/2.29 (step @p210 :rule reordering :premises (@p209) :args ((or @t176 @t195))) % 2.02/2.29 (assume-push @p685 @t168) % 2.02/2.29 (assume-push @p686 @t173) % 2.02/2.29 (assume-push @p687 @t168) % 2.02/2.29 (assume-push @p688 @t173) % 2.02/2.29 (step @p215 :rule trans :premises (@p686 @p187)) % 2.02/2.29 (step-pop @p689 :rule scope :premises (@p215)) % 2.02/2.29 (step-pop @p690 :rule scope :premises (@p689)) % 2.02/2.29 (step @p216 :rule process_scope :premises (@p690) :args (@t170)) % 2.02/2.29 (step @p219 :rule and_intro :premises (@p187 @p686)) % 2.02/2.29 (step @p220 :rule modus_ponens :premises (@p219 @p216)) % 2.02/2.29 (step-pop @p691 :rule scope :premises (@p220)) % 2.02/2.29 (step-pop @p692 :rule scope :premises (@p691)) % 2.02/2.29 (step @p221 :rule process_scope :premises (@p692) :args (@t170)) % 2.02/2.29 (step @p224 :rule implies_elim :premises (@p221)) % 2.02/2.29 (step @p225 :rule cnf_and_neg :args (@t196)) % 2.02/2.29 (step @p226 :rule resolution :premises (@p225 @p224) :args (true @t196)) % 2.02/2.29 (step @p227 :rule reordering :premises (@p226) :args ((or @t170 @t197 (not @t173)))) % 2.02/2.29 (step @p228 :rule refl :args (@t198)) % 2.02/2.29 (step @p229 :rule bool-double-not-elim :args (@t175)) % 2.02/2.29 (step @p230 :rule refl :args (@t199)) % 2.02/2.29 (step @p231 :rule nary_cong :premises (@p230 @p229 @p228) :args ((or @t199 (not @t176) @t198))) % 2.02/2.29 (assume-push @p693 @t169) % 2.02/2.29 (assume-push @p694 @t176) % 2.02/2.29 (assume-push @p695 @t176) % 2.02/2.29 (assume-push @p696 @t169) % 2.02/2.29 (step @p236 :rule false_intro :premises (@p694)) % 2.02/2.29 (step @p237 :rule symm :premises (@p188)) % 2.02/2.29 (step @p238 :rule refl :args (tptp.nil)) % 2.02/2.29 (step @p239 :rule cong :premises (@p238 @p237) :args (@t172)) % 2.02/2.29 (step @p240 :rule trans :premises (@p239 @p236)) % 2.02/2.29 (step @p241 :rule false_elim :premises (@p240)) % 2.02/2.29 (step-pop @p697 :rule scope :premises (@p241)) % 2.02/2.29 (step-pop @p698 :rule scope :premises (@p697)) % 2.02/2.29 (step @p242 :rule process_scope :premises (@p698) :args (@t198)) % 2.02/2.29 (step @p245 :rule and_intro :premises (@p694 @p188)) % 2.02/2.29 (step @p246 :rule modus_ponens :premises (@p245 @p242)) % 2.02/2.29 (step-pop @p699 :rule scope :premises (@p246)) % 2.02/2.29 (step-pop @p700 :rule scope :premises (@p699)) % 2.02/2.29 (step @p247 :rule process_scope :premises (@p700) :args (@t198)) % 2.02/2.29 (step @p250 :rule implies_elim :premises (@p247)) % 2.02/2.29 (step @p251 :rule cnf_and_neg :args (@t200)) % 2.02/2.29 (step @p252 :rule resolution :premises (@p251 @p250) :args (true @t200)) % 2.02/2.29 (step @p253 :rule eq_resolve :premises (@p252 @p231)) % 2.02/2.29 (step @p254 :rule reordering :premises (@p253) :args ((or @t175 @t199 @t198))) % 2.02/2.29 (step @p255 :rule chain_m_resolution :premises (@p189 @p254 @p188 @p227 @p187 @p210 @p206) :args (@t195 (@list true false false false true false) (@list @t172 @t169 @t170 @t168 @t175 @t173))) % 2.02/2.29 (step @p256 :rule eq-symm :args (@t40 @t2)) % 2.02/2.29 (step @p257 :rule refl :args (@t82)) % 2.02/2.29 (step @p258 :rule refl :args (@t64)) % 2.02/2.29 (step @p259 :rule refl :args (@t47)) % 2.02/2.29 (step @p260 :rule nary_cong :premises (@p259 @p258 @p257 @p256) :args (@t83)) % 2.02/2.29 (step @p261 :rule cong :premises (@p260) :args (@t84)) % 2.02/2.29 (step @p262 :rule eq_resolve :premises (@p98 @p261)) % 2.02/2.29 (step @p263 :rule instantiate :premises (@p262) :args ((@list tptp.nil tptp.sk4))) % 2.02/2.29 (step @p264 :rule cnf_or_pos :args (@t203)) % 2.02/2.29 (step @p265 :rule reordering :premises (@p264) :args ((or @t170 @t186 @t202 @t201 (not @t203)))) % 2.02/2.29 (step @p266 :rule reordering :premises (@p192) :args ((or @t173 @t177))) % 2.02/2.29 (step @p267 :rule eq-symm :args (@t182 tptp.sk1)) % 2.02/2.29 (step @p268 :rule cong :premises (@p267) :args (@t183)) % 2.02/2.29 (step @p269 :rule nary_cong :premises (@p268 @p202) :args (@t184)) % 2.02/2.29 (step @p270 :rule eq_resolve :premises (@p194 @p269)) % 2.02/2.29 (step @p271 :rule reordering :premises (@p270) :args ((or @t173 (not @t204)))) % 2.02/2.29 (step @p272 :rule refl :args (@t56)) % 2.02/2.29 (step @p273 :rule eq-symm :args (@t96 @t2)) % 2.02/2.29 (step @p274 :rule nary_cong :premises (@p259 @p273 @p272) :args (@t97)) % 2.02/2.29 (step @p275 :rule cong :premises (@p274) :args (@t98)) % 2.02/2.29 (step @p276 :rule eq_resolve :premises (@p107 @p275)) % 2.02/2.29 (step @p277 :rule instantiate :premises (@p276) :args (@t205)) % 2.02/2.29 (step @p278 :rule cnf_or_pos :args (@t211)) % 2.02/2.29 (step 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2.02/2.29 (assume-push @p744 @t169) % 2.02/2.29 (step @p505 :rule refl :args (@t178)) % 2.02/2.29 (step @p506 :rule symm :premises (@p714)) % 2.02/2.29 (step @p507 :rule cong :premises (@p506 @p505) :args ((tptp.app @t227 @t178))) % 2.02/2.29 (step @p508 :rule refl :args (tptp.sk6)) % 2.02/2.29 (step @p509 :rule symm :premises (@p715)) % 2.02/2.29 (step @p510 :rule cong :premises (@p509 @p508) :args (@t311)) % 2.02/2.29 (step @p511 :rule cong :premises (@p711) :args (@t328)) % 2.02/2.29 (step @p512 :rule trans :premises (@p511 @p726 @p510 @p506)) % 2.02/2.29 (step @p513 :rule trans :premises (@p512 @p714)) % 2.02/2.29 (step @p514 :rule cong :premises (@p513 @p505) :args ((tptp.app @t328 @t178))) % 2.02/2.29 (step @p238 :rule refl :args (tptp.nil)) % 2.02/2.29 (step @p515 :rule symm :premises (@p716)) % 2.02/2.29 (step @p516 :rule symm :premises (@p718)) % 2.02/2.29 (step @p517 :rule cong :premises (@p711) :args ((tptp.hd tptp.sk2))) % 2.02/2.29 (step @p518 :rule trans :premises (@p517 @p516 @p515)) % 2.02/2.29 (step @p519 :rule symm :premises (@p517)) % 2.02/2.29 (step @p520 :rule symm :premises (@p717)) % 2.02/2.29 (step @p521 :rule trans :premises (@p520 @p711)) % 2.02/2.29 (step @p522 :rule cong :premises (@p521) :args (@t314)) % 2.02/2.29 (step @p523 :rule trans :premises (@p452 @p522 @p519)) % 2.02/2.29 (step @p524 :rule trans :premises (@p523 @p518)) % 2.02/2.29 (step @p525 :rule cong :premises (@p524 @p238) :args ((tptp.cons @t207 tptp.nil))) % 2.02/2.29 (step @p526 :rule symm :premises (@p523)) % 2.02/2.29 (step @p527 :rule symm :premises (@p187)) % 2.02/2.29 (step @p528 :rule symm :premises (@p712)) % 2.02/2.29 (step @p529 :rule trans :premises (@p528 @p527 @p711)) % 2.02/2.29 (step @p530 :rule cong :premises (@p529) :args (@t291)) % 2.02/2.29 (step @p531 :rule trans :premises (@p721 @p724 @p530 @p519)) % 2.02/2.29 (step @p532 :rule trans :premises (@p531 @p526)) % 2.02/2.29 (step @p533 :rule cong :premises (@p532 @p238) :args (@t190)) % 2.02/2.29 (step @p534 :rule symm :premises (@p723)) % 2.02/2.29 (step @p535 :rule trans :premises (@p534 @p533 @p525)) % 2.02/2.29 (step @p536 :rule trans :premises (@p528 @p527)) % 2.02/2.29 (step @p537 :rule cong :premises (@p536) :args (@t302)) % 2.02/2.29 (step @p538 :rule symm :premises (@p725)) % 2.02/2.29 (step @p539 :rule refl :args (tptp.sk8)) % 2.02/2.29 (step @p540 :rule cong :premises (@p720 @p539) :args (@t231)) % 2.02/2.29 (step @p541 :rule trans :premises (@p719 @p540 @p538 @p537)) % 2.02/2.29 (step @p542 :rule cong :premises (@p541 @p535) :args ((tptp.app tptp.sk8 @t325))) % 2.02/2.29 (step @p543 :rule cong :premises (@p539 @p723) :args (@t193)) % 2.02/2.29 (step @p544 :rule trans :premises (@p188 @p713 @p543 @p542 @p514 @p507)) % 2.02/2.29 (step-pop @p745 :rule scope :premises (@p544)) % 2.02/2.29 (step-pop @p746 :rule scope :premises (@p745)) % 2.02/2.29 (step-pop @p747 :rule scope :premises (@p746)) % 2.02/2.29 (step-pop @p748 :rule scope :premises (@p747)) % 2.02/2.29 (step-pop @p749 :rule scope :premises (@p748)) % 2.02/2.29 (step-pop @p750 :rule scope :premises (@p749)) % 2.02/2.29 (step-pop @p751 :rule scope :premises (@p750)) % 2.02/2.29 (step-pop @p752 :rule scope :premises (@p751)) % 2.02/2.29 (step-pop @p753 :rule scope :premises (@p752)) % 2.02/2.29 (step-pop @p754 :rule scope :premises (@p753)) % 2.02/2.29 (step-pop @p755 :rule scope :premises (@p754)) % 2.02/2.29 (step-pop @p756 :rule scope :premises (@p755)) % 2.02/2.29 (step-pop @p757 :rule scope :premises (@p756)) % 2.02/2.29 (step-pop @p758 :rule scope :premises (@p757)) % 2.02/2.29 (step-pop @p759 :rule scope :premises (@p758)) % 2.02/2.29 (step-pop @p760 :rule scope :premises (@p759)) % 2.02/2.29 (step-pop @p761 :rule scope :premises (@p760)) % 2.02/2.29 (step-pop @p762 :rule scope :premises (@p761)) % 2.02/2.29 (step @p545 :rule process_scope :premises (@p762) :args (@t204)) % 2.02/2.29 (step @p564 :rule and_intro :premises (@p714 @p715 @p726 @p711 @p187 @p712 @p725 @p720 @p719 @p716 @p718 @p717 @p452 @p724 @p721 @p723 @p713 @p188)) % 2.02/2.29 (step @p565 :rule modus_ponens :premises (@p564 @p545)) % 2.02/2.29 (step-pop @p763 :rule scope :premises (@p565)) % 2.02/2.29 (step-pop @p764 :rule scope :premises (@p763)) % 2.02/2.29 (step-pop @p765 :rule scope :premises (@p764)) % 2.02/2.29 (step-pop @p766 :rule scope :premises (@p765)) % 2.02/2.29 (step-pop @p767 :rule scope :premises (@p766)) % 2.02/2.29 (step-pop @p768 :rule scope :premises (@p767)) % 2.02/2.29 (step-pop @p769 :rule scope :premises (@p768)) % 2.02/2.29 (step-pop @p770 :rule scope :premises (@p769)) % 2.02/2.29 (step-pop @p771 :rule scope :premises (@p770)) % 2.02/2.29 (step-pop @p772 :rule scope :premises (@p771)) % 2.02/2.29 (step-pop @p773 :rule scope :premises (@p772)) % 2.02/2.29 (step-pop @p774 :rule scope :premises (@p773)) % 2.02/2.29 (step-pop @p775 :rule scope :premises (@p774)) % 2.02/2.29 (step-pop @p776 :rule scope :premises (@p775)) % 2.02/2.29 (step-pop @p777 :rule scope :premises (@p776)) % 2.02/2.29 (step-pop @p778 :rule scope :premises (@p777)) % 2.02/2.29 (step-pop @p779 :rule scope :premises (@p778)) % 2.02/2.29 (step-pop @p780 :rule scope :premises (@p779)) % 2.02/2.29 (step @p566 :rule process_scope :premises (@p780) :args (@t204)) % 2.02/2.29 (step @p585 :rule implies_elim :premises (@p566)) % 2.02/2.29 (step @p586 :rule cnf_and_neg :args (@t329)) % 2.02/2.29 (step @p587 :rule resolution :premises (@p586 @p585) :args (true @t329)) % 2.02/2.29 (step @p588 :rule reordering :premises (@p587) :args ((or @t204 @t197 @t199 @t330 (not @t212) (not @t213) (not @t228) (not @t219) (not @t222) (not @t209) (not @t309) (not @t232) (not @t321) (not @t323) (not @t315) (not @t326) (not @t297) (not @t303) (not @t312)))) % 2.02/2.29 (step @p589 :rule chain_m_resolution :premises (@p588 @p468 @p460 @p456 @p452 @p255 @p188 @p187 @p446 @p444 @p443 @p441 @p428 @p423 @p426 @p405 @p425 @p423 @p419 @p405 @p325 @p323 @p322 @p320 @p315 @p313 @p8 @p307 @p305 @p8 @p300 @p298 @p8 @p292 @p290 @p8 @p289 @p285 @p280 @p279 @p277 @p184 @p271 @p266 @p190 @p265 @p263 @p186 @p8 @p227 @p187) :args (@t170 (@list false false false false false false false false false false false false false false true false false false true false false false false true false false false false false false false false false false false false false false false false false true false false false false false false true false) (@list @t326 @t323 @t321 @t315 @t195 @t169 @t168 @t312 @t313 @t309 @t310 @t303 @t293 @t304 @t288 @t297 @t293 @t298 @t288 @t232 @t234 @t228 @t230 @t224 @t226 @t1 @t222 @t223 @t1 @t219 @t220 @t1 @t215 @t217 @t1 @t213 @t212 @t189 @t209 @t211 @t166 @t204 @t177 @t174 @t186 @t203 @t167 @t1 @t173 @t168))) % 2.02/2.29 (step @p590 :rule aci_norm :args ((= (or false @t64 @t47 @t332 @t331) (or @t64 @t47 @t332 @t331)))) % 2.02/2.29 (step @p591 :rule refl :args (@t331)) % 2.02/2.29 (step @p592 :rule refl :args (@t332)) % 2.02/2.29 (step @p593 :rule eq-refl :args (@t103)) % 2.02/2.29 (step @p594 :rule cong :premises (@p593) :args (@t333)) % 2.02/2.29 (step @p595 :rule trans :premises (@p594 @p333)) % 2.02/2.29 (step @p596 :rule nary_cong :premises (@p595 @p258 @p259 @p592 @p591) :args (@t334)) % 2.02/2.29 (step @p597 :rule trans :premises (@p596 @p590)) % 2.02/2.29 (step @p598 :rule cong :premises (@p597) :args ((forall @t41 @t334))) % 2.02/2.29 (step @p599 :rule quant-var-elim-eq :args ((= (forall @t335 (or (not (= @t125 @t103)) @t134 @t64 @t47 @t127 @t135)) @t334))) % 2.02/2.29 (step @p600 :rule refl :args (@t135)) % 2.02/2.29 (step @p601 :rule refl :args (@t127)) % 2.02/2.29 (step @p602 :rule refl :args (@t47)) % 2.02/2.29 (step @p603 :rule refl :args (@t64)) % 2.02/2.29 (step @p604 :rule refl :args (@t134)) % 2.02/2.29 (step @p605 :rule eq-symm :args (@t103 @t125)) % 2.02/2.29 (step @p606 :rule cong :premises (@p605) :args (@t134)) % 2.02/2.29 (step @p607 :rule nary_cong :premises (@p606 @p604 @p603 @p602 @p601 @p600) :args (@t336)) % 2.02/2.29 (step @p608 :rule aci_norm :args ((= @t136 @t336))) % 2.02/2.29 (step @p609 :rule trans :premises (@p608 @p607)) % 2.02/2.29 (step @p610 :rule cong :premises (@p609) :args (@t337)) % 2.02/2.29 (step @p611 :rule trans :premises (@p610 @p599)) % 2.02/2.29 (step @p612 :rule cong :premises (@p611) :args (@t338)) % 2.02/2.29 (step @p613 :rule quant-merge-prenex :args ((= @t338 @t137))) % 2.02/2.29 (step @p614 :rule symm :premises (@p613)) % 2.02/2.29 (step @p615 :rule trans :premises (@p614 @p612)) % 2.02/2.29 (step @p616 :rule trans :premises (@p615 @p598)) % 2.02/2.29 (step @p617 :rule eq_resolve :premises (@p141 @p616)) % 2.02/2.29 (step @p618 :rule instantiate :premises (@p617) :args ((@list @t178 tptp.sk6))) % 2.02/2.29 (assume-push @p781 @t166) % 2.02/2.29 (assume-push @p782 @t195) % 2.02/2.29 (assume-push @p783 @t166) % 2.02/2.29 (assume-push @p784 @t195) % 2.02/2.29 (step @p623 :rule true_intro :premises (@p184)) % 2.02/2.29 (step @p624 :rule symm :premises (@p782)) % 2.02/2.29 (step @p625 :rule cong :premises (@p624) :args (@t339)) % 2.02/2.29 (step @p626 :rule trans :premises (@p625 @p623)) % 2.02/2.29 (step @p627 :rule true_elim :premises (@p626)) % 2.02/2.29 (step-pop @p785 :rule scope :premises (@p627)) % 2.02/2.29 (step-pop @p786 :rule scope :premises (@p785)) % 2.02/2.29 (step @p628 :rule process_scope :premises (@p786) :args (@t339)) % 2.02/2.29 (step @p631 :rule and_intro :premises (@p184 @p782)) % 2.02/2.29 (step @p632 :rule modus_ponens :premises (@p631 @p628)) % 2.02/2.29 (step-pop @p787 :rule scope :premises (@p632)) % 2.02/2.29 (step-pop @p788 :rule scope :premises (@p787)) % 2.02/2.29 (step @p633 :rule process_scope :premises (@p788) :args (@t339)) % 2.02/2.29 (step @p636 :rule implies_elim :premises (@p633)) % 2.02/2.29 (step @p637 :rule cnf_and_neg :args (@t340)) % 2.02/2.29 (step @p638 :rule resolution :premises (@p637 @p636) :args (true @t340)) % 2.02/2.29 (step @p639 :rule chain_m_resolution :premises (@p638 @p184 @p255) :args (@t339 @t341 (@list @t166 @t195))) % 2.02/2.29 (step @p640 :rule chain_m_resolution :premises (@p189 @p589) :args (@t172 @t286 (@list @t170))) % 2.02/2.29 (step @p641 :rule chain_m_resolution :premises (@p254 @p188 @p640) :args (@t175 @t341 (@list @t169 @t172))) % 2.02/2.29 (step @p642 :rule chain_m_resolution :premises (@p191 @p641) :args (@t174 @t286 @t342)) % 2.02/2.29 (step @p643 :rule chain_m_resolution :premises (@p292 @p8 @p642 @p290) :args (@t215 @t260 (@list @t1 @t174 @t217))) % 2.02/2.29 (step @p644 :rule reordering :premises (@p195) :args ((or @t176 @t177))) % 2.02/2.29 (step @p645 :rule chain_m_resolution :premises (@p644 @p641) :args (@t177 @t286 @t342)) % 2.02/2.29 (step @p646 :rule cnf_or_pos :args (@t345)) % 2.02/2.29 (step @p647 :rule reordering :premises (@p646) :args ((or @t229 @t306 @t344 @t343 (not @t345)))) % 2.02/2.29 (step @p648 :rule chain_m_resolution :premises (@p647 @p645 @p643 @p639 @p618) :args (@t343 (@list false false false false) (@list @t177 @t215 @t339 @t345))) % 2.02/2.29 (step @p649 :rule instantiate :premises (@p82) :args ((@list @t178))) % 2.02/2.29 (step @p650 :rule chain_m_resolution :premises (@p315 @p8 @p642 @p313) :args (@t225 @t260 (@list @t1 @t174 @t226))) % 2.02/2.29 (step @p651 :rule cnf_or_pos :args (@t348)) % 2.02/2.29 (step @p652 :rule reordering :premises (@p651) :args ((or @t306 @t224 @t347 (not @t348)))) % 2.02/2.29 (step @p653 :rule chain_m_resolution :premises (@p652 @p643 @p650 @p649) :args (@t347 (@list false true false) (@list @t215 @t224 @t348))) % 2.02/2.29 (assume-push @p789 @t168) % 2.02/2.29 (assume-push @p790 @t170) % 2.02/2.29 (assume-push @p791 @t195) % 2.02/2.29 (assume-push @p792 @t343) % 2.02/2.29 (assume-push @p793 @t343) % 2.02/2.29 (assume-push @p794 @t195) % 2.02/2.29 (assume-push @p795 @t168) % 2.02/2.29 (assume-push @p796 @t170) % 2.02/2.29 (step @p662 :rule true_intro :premises (@p792)) % 2.02/2.29 (step @p505 :rule refl :args (@t178)) % 2.02/2.29 (step @p527 :rule symm :premises (@p187)) % 2.02/2.29 (step @p663 :rule trans :premises (@p790 @p527)) % 2.02/2.29 (step @p664 :rule trans :premises (@p663 @p791)) % 2.02/2.29 (step @p665 :rule cong :premises (@p664 @p505) :args (@t346)) % 2.02/2.29 (step @p666 :rule trans :premises (@p665 @p662)) % 2.02/2.29 (step @p667 :rule true_elim :premises (@p666)) % 2.02/2.29 (step-pop @p797 :rule scope :premises (@p667)) % 2.02/2.29 (step-pop @p798 :rule scope :premises (@p797)) % 2.02/2.29 (step-pop @p799 :rule scope :premises (@p798)) % 2.02/2.29 (step-pop @p800 :rule scope :premises (@p799)) % 2.02/2.29 (step @p668 :rule process_scope :premises (@p800) :args (@t346)) % 2.02/2.29 (step @p673 :rule and_intro :premises (@p792 @p791 @p187 @p790)) % 2.02/2.29 (step @p674 :rule modus_ponens :premises (@p673 @p668)) % 2.02/2.29 (step-pop @p801 :rule scope :premises (@p674)) % 2.02/2.29 (step-pop @p802 :rule scope :premises (@p801)) % 2.02/2.29 (step-pop @p803 :rule scope :premises (@p802)) % 2.02/2.29 (step-pop @p804 :rule scope :premises (@p803)) % 2.02/2.29 (step @p675 :rule process_scope :premises (@p804) :args (@t346)) % 2.02/2.29 (step @p680 :rule implies_elim :premises (@p675)) % 2.02/2.29 (step @p681 :rule cnf_and_neg :args (@t349)) % 2.02/2.29 (step @p682 :rule resolution :premises (@p681 @p680) :args (true @t349)) % 2.02/2.29 (step @p683 :rule reordering :premises (@p682) :args ((or @t171 @t197 @t330 (not @t343) @t346))) % 2.02/2.29 (step @p684 false :rule chain_m_resolution :premises (@p683 @p653 @p648 @p589 @p255 @p187) :args (false (@list true false false false false) (@list @t346 @t343 @t170 @t195 @t168))) % 2.02/2.29 ) % 0.37/2.30 % SZS output end Proof % 0.37/2.30 % cvc5 exiting %------------------------------------------------------------------------------