%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC413-1 : 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 : n011.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 08:59:14 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.98s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC413-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n011.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:46:05 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.98 % SZS status Unsatisfiable % 0.38/0.98 % SZS output start Proof % 0.38/1.00 ( % 0.38/1.00 (declare-sort $$unsorted 0) % 0.38/1.00 (declare-const tptp.sk7 $$unsorted) % 0.38/1.00 (declare-const tptp.sk6 $$unsorted) % 0.38/1.00 (declare-const tptp.sk5 $$unsorted) % 0.38/1.00 (declare-const tptp.sk11 $$unsorted) % 0.38/1.00 (declare-const tptp.sk4 $$unsorted) % 0.38/1.00 (declare-const tptp.sk2 $$unsorted) % 0.38/1.00 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.nil $$unsorted) % 0.38/1.00 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.sk1 $$unsorted) % 0.38/1.00 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skac2 $$unsorted) % 0.38/1.00 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.sk3 $$unsorted) % 0.38/1.00 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skac3 $$unsorted) % 0.38/1.00 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.sk12 $$unsorted) % 0.38/1.00 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.sk13 $$unsorted) % 0.38/1.00 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.sk8 $$unsorted) % 0.38/1.00 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.sk9 $$unsorted) % 0.38/1.00 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.sk10 $$unsorted) % 0.38/1.00 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (define @t1 () (@var "U" $$unsorted)) % 0.38/1.00 (define @t2 () (tptp.skaf83 @t1)) % 0.38/1.00 (define @t3 () (@list @t1)) % 0.38/1.00 (define @t4 () (tptp.skaf82 @t1)) % 0.38/1.00 (define @t5 () (tptp.skaf81 @t1)) % 0.38/1.00 (define @t6 () (tptp.skaf80 @t1)) % 0.38/1.00 (define @t7 () (tptp.skaf79 @t1)) % 0.38/1.00 (define @t8 () (tptp.skaf78 @t1)) % 0.38/1.00 (define @t9 () (tptp.skaf77 @t1)) % 0.38/1.00 (define @t10 () (tptp.skaf76 @t1)) % 0.38/1.00 (define @t11 () (tptp.skaf75 @t1)) % 0.38/1.00 (define @t12 () (tptp.skaf74 @t1)) % 0.38/1.00 (define @t13 () (tptp.skaf73 @t1)) % 0.38/1.00 (define @t14 () (tptp.skaf72 @t1)) % 0.38/1.00 (define @t15 () (tptp.skaf71 @t1)) % 0.38/1.00 (define @t16 () (tptp.skaf70 @t1)) % 0.38/1.00 (define @t17 () (tptp.skaf69 @t1)) % 0.38/1.00 (define @t18 () (tptp.skaf68 @t1)) % 0.38/1.00 (define @t19 () (tptp.skaf67 @t1)) % 0.38/1.00 (define @t20 () (tptp.skaf66 @t1)) % 0.38/1.00 (define @t21 () (tptp.skaf65 @t1)) % 0.38/1.00 (define @t22 () (tptp.skaf64 @t1)) % 0.38/1.00 (define @t23 () (tptp.skaf63 @t1)) % 0.38/1.00 (define @t24 () (tptp.skaf62 @t1)) % 0.38/1.00 (define @t25 () (tptp.skaf61 @t1)) % 0.38/1.00 (define @t26 () (tptp.skaf60 @t1)) % 0.38/1.00 (define @t27 () (tptp.skaf59 @t1)) % 0.38/1.00 (define @t28 () (tptp.skaf58 @t1)) % 0.38/1.00 (define @t29 () (tptp.skaf57 @t1)) % 0.38/1.00 (define @t30 () (tptp.skaf56 @t1)) % 0.38/1.00 (define @t31 () (tptp.skaf55 @t1)) % 0.38/1.00 (define @t32 () (tptp.skaf54 @t1)) % 0.38/1.00 (define @t33 () (tptp.skaf53 @t1)) % 0.38/1.00 (define @t34 () (tptp.skaf52 @t1)) % 0.38/1.00 (define @t35 () (tptp.skaf51 @t1)) % 0.38/1.00 (define @t36 () (tptp.skaf50 @t1)) % 0.38/1.00 (define @t37 () (tptp.skaf49 @t1)) % 0.38/1.00 (define @t38 () (tptp.skaf44 @t1)) % 0.38/1.00 (define @t39 () (@var "V" $$unsorted)) % 0.38/1.00 (define @t40 () (@list @t1 @t39)) % 0.38/1.00 (define @t41 () (tptp.skaf47 @t1 @t39)) % 0.38/1.00 (define @t42 () (tptp.skaf46 @t1 @t39)) % 0.38/1.00 (define @t43 () (tptp.skaf45 @t1 @t39)) % 0.38/1.00 (define @t44 () (tptp.skaf42 @t1 @t39)) % 0.38/1.00 (define @t45 () (not (tptp.ssItem @t1))) % 0.38/1.00 (define @t46 () (not (tptp.ssList @t1))) % 0.38/1.00 (define @t47 () (tptp.cons @t1 tptp.nil)) % 0.38/1.00 (define @t48 () (tptp.ssItem @t39)) % 0.38/1.00 (define @t49 () (tptp.duplicatefreeP @t1)) % 0.38/1.00 (define @t50 () (= tptp.nil @t1)) % 0.38/1.00 (define @t51 () (tptp.tl @t1)) % 0.38/1.00 (define @t52 () (tptp.hd @t1)) % 0.38/1.00 (define @t53 () (tptp.segmentP tptp.nil @t1)) % 0.38/1.00 (define @t54 () (not @t50)) % 0.38/1.00 (define @t55 () (tptp.rearsegP tptp.nil @t1)) % 0.38/1.00 (define @t56 () (tptp.frontsegP tptp.nil @t1)) % 0.38/1.00 (define @t57 () (tptp.app @t39 @t1)) % 0.38/1.00 (define @t58 () (not (tptp.ssList @t39))) % 0.38/1.00 (define @t59 () (tptp.cons @t1 @t39)) % 0.38/1.00 (define @t60 () (tptp.cyclefreeP @t1)) % 0.38/1.00 (define @t61 () (tptp.equalelemsP @t1)) % 0.38/1.00 (define @t62 () (tptp.strictorderedP @t1)) % 0.38/1.00 (define @t63 () (tptp.totalorderedP @t1)) % 0.38/1.00 (define @t64 () (tptp.strictorderP @t1)) % 0.38/1.00 (define @t65 () (tptp.totalorderP @t1)) % 0.38/1.00 (define @t66 () (= @t39 @t1)) % 0.38/1.00 (define @t67 () (tptp.neq @t39 @t1)) % 0.38/1.00 (define @t68 () (not @t48)) % 0.38/1.00 (define @t69 () (tptp.leq @t1 @t39)) % 0.38/1.00 (define @t70 () (tptp.lt @t1 @t39)) % 0.38/1.00 (define @t71 () (not @t70)) % 0.38/1.00 (define @t72 () (tptp.lt @t39 @t1)) % 0.38/1.00 (define @t73 () (not (tptp.gt @t1 @t39))) % 0.38/1.00 (define @t74 () (tptp.gt @t39 @t1)) % 0.38/1.00 (define @t75 () (tptp.leq @t39 @t1)) % 0.38/1.00 (define @t76 () (not (tptp.geq @t1 @t39))) % 0.38/1.00 (define @t77 () (tptp.geq @t39 @t1)) % 0.38/1.00 (define @t78 () (not @t69)) % 0.38/1.00 (define @t79 () (= @t1 @t39)) % 0.38/1.00 (define @t80 () (not @t79)) % 0.38/1.00 (define @t81 () (tptp.cons @t39 @t1)) % 0.38/1.00 (define @t82 () (not (tptp.neq @t1 @t39))) % 0.38/1.00 (define @t83 () (tptp.app @t1 @t39)) % 0.38/1.00 (define @t84 () (= @t83 tptp.nil)) % 0.38/1.00 (define @t85 () (not @t84)) % 0.38/1.00 (define @t86 () (= tptp.nil @t39)) % 0.38/1.00 (define @t87 () (tptp.hd @t39)) % 0.38/1.00 (define @t88 () (tptp.strictorderedP @t39)) % 0.38/1.00 (define @t89 () (tptp.strictorderedP @t59)) % 0.38/1.00 (define @t90 () (not @t89)) % 0.38/1.00 (define @t91 () (tptp.totalorderedP @t39)) % 0.38/1.00 (define @t92 () (tptp.totalorderedP @t59)) % 0.38/1.00 (define @t93 () (not @t92)) % 0.38/1.00 (define @t94 () (not (tptp.segmentP @t1 @t39))) % 0.38/1.00 (define @t95 () (not (tptp.rearsegP @t1 @t39))) % 0.38/1.00 (define @t96 () (not (tptp.frontsegP @t1 @t39))) % 0.38/1.00 (define @t97 () (not @t75)) % 0.38/1.00 (define @t98 () (tptp.tl @t39)) % 0.38/1.00 (define @t99 () (tptp.lt @t1 @t87)) % 0.38/1.00 (define @t100 () (tptp.leq @t1 @t87)) % 0.38/1.00 (define @t101 () (@var "W" $$unsorted)) % 0.38/1.00 (define @t102 () (tptp.app @t101 @t1)) % 0.38/1.00 (define @t103 () (not (tptp.ssList @t101))) % 0.38/1.00 (define @t104 () (@list @t1 @t39 @t101)) % 0.38/1.00 (define @t105 () (tptp.app @t1 @t101)) % 0.38/1.00 (define @t106 () (tptp.cons @t39 @t101)) % 0.38/1.00 (define @t107 () (tptp.cons @t101 @t1)) % 0.38/1.00 (define @t108 () (not (tptp.ssItem @t101))) % 0.38/1.00 (define @t109 () (not (tptp.memberP @t1 @t39))) % 0.38/1.00 (define @t110 () (not (= @t83 @t101))) % 0.38/1.00 (define @t111 () (tptp.lt @t1 @t101)) % 0.38/1.00 (define @t112 () (not (tptp.lt @t39 @t101))) % 0.38/1.00 (define @t113 () (tptp.app @t101 @t39)) % 0.38/1.00 (define @t114 () (= @t39 @t101)) % 0.38/1.00 (define @t115 () (= @t1 @t101)) % 0.38/1.00 (define @t116 () (tptp.memberP @t39 @t101)) % 0.38/1.00 (define @t117 () (@var "X" $$unsorted)) % 0.38/1.00 (define @t118 () (not (tptp.ssList @t117))) % 0.38/1.00 (define @t119 () (tptp.cons @t101 @t117)) % 0.38/1.00 (define @t120 () (not (= @t59 @t119))) % 0.38/1.00 (define @t121 () (@list @t1 @t39 @t101 @t117)) % 0.38/1.00 (define @t122 () (not (tptp.frontsegP @t59 @t119))) % 0.38/1.00 (define @t123 () (tptp.app @t1 @t106)) % 0.38/1.00 (define @t124 () (not (tptp.ssItem @t117))) % 0.38/1.00 (define @t125 () (@var "Y" $$unsorted)) % 0.38/1.00 (define @t126 () (not (tptp.ssList @t125))) % 0.38/1.00 (define @t127 () (@list @t1 @t39 @t101 @t117 @t125)) % 0.38/1.00 (define @t128 () (tptp.lt @t39 @t117)) % 0.38/1.00 (define @t129 () (@var "Z" $$unsorted)) % 0.38/1.00 (define @t130 () (not (tptp.ssList @t129))) % 0.38/1.00 (define @t131 () (not (= (tptp.app @t123 (tptp.cons @t117 @t125)) @t129))) % 0.38/1.00 (define @t132 () (@list @t1 @t39 @t101 @t117 @t125 @t129)) % 0.38/1.00 (define @t133 () (tptp.leq @t39 @t117)) % 0.38/1.00 (define @t134 () (= tptp.sk2 tptp.sk4)) % 0.38/1.00 (define @t135 () (= tptp.sk1 tptp.sk3)) % 0.38/1.00 (define @t136 () (@var "F" $$unsorted)) % 0.38/1.00 (define @t137 () (@var "E" $$unsorted)) % 0.38/1.00 (define @t138 () (@var "D" $$unsorted)) % 0.38/1.00 (define @t139 () (tptp.app (tptp.app (tptp.cons @t138 tptp.nil) (tptp.cons @t137 tptp.nil)) @t136)) % 0.38/1.00 (define @t140 () (not (= @t139 tptp.sk4))) % 0.38/1.00 (define @t141 () (not (tptp.ssList @t136))) % 0.38/1.00 (define @t142 () (not (tptp.ssItem @t137))) % 0.38/1.00 (define @t143 () (not (tptp.ssItem @t138))) % 0.38/1.00 (define @t144 () (@var "C" $$unsorted)) % 0.38/1.00 (define @t145 () (@var "A" $$unsorted)) % 0.38/1.00 (define @t146 () (tptp.cons @t145 tptp.nil)) % 0.38/1.00 (define @t147 () (@var "B" $$unsorted)) % 0.38/1.00 (define @t148 () (tptp.cons @t147 tptp.nil)) % 0.38/1.00 (define @t149 () (tptp.app (tptp.app @t148 @t146) @t144)) % 0.38/1.00 (define @t150 () (not (= @t149 tptp.sk1))) % 0.38/1.00 (define @t151 () (tptp.app (tptp.app @t146 @t148) @t144)) % 0.38/1.00 (define @t152 () (not (= @t151 tptp.sk2))) % 0.38/1.00 (define @t153 () (not (tptp.ssList @t144))) % 0.38/1.00 (define @t154 () (not (tptp.ssItem @t147))) % 0.38/1.00 (define @t155 () (not (tptp.ssItem @t145))) % 0.38/1.00 (define @t156 () (or @t155 @t154 @t153 @t152 @t150 @t143 @t142 @t141 @t140)) % 0.38/1.00 (define @t157 () (@list @t145 @t147 @t144 @t138 @t137 @t136)) % 0.38/1.00 (define @t158 () (forall @t157 @t156)) % 0.38/1.00 (define @t159 () (tptp.ssItem tptp.sk11)) % 0.38/1.00 (define @t160 () (or @t155 @t154 @t153 @t152 @t150 @t159)) % 0.38/1.00 (define @t161 () (@list @t145 @t147 @t144)) % 0.38/1.00 (define @t162 () (forall @t161 @t160)) % 0.38/1.00 (define @t163 () (tptp.ssItem tptp.sk12)) % 0.38/1.00 (define @t164 () (or @t155 @t154 @t153 @t152 @t150 @t163)) % 0.38/1.00 (define @t165 () (forall @t161 @t164)) % 0.38/1.00 (define @t166 () (tptp.ssList tptp.sk13)) % 0.38/1.00 (define @t167 () (or @t155 @t154 @t153 @t152 @t150 @t166)) % 0.38/1.00 (define @t168 () (forall @t161 @t167)) % 0.38/1.00 (define @t169 () (tptp.app (tptp.app (tptp.cons tptp.sk11 tptp.nil) (tptp.cons tptp.sk12 tptp.nil)) tptp.sk13)) % 0.38/1.00 (define @t170 () (= @t169 tptp.sk2)) % 0.38/1.00 (define @t171 () (or @t155 @t154 @t153 @t152 @t150 @t170)) % 0.38/1.00 (define @t172 () (forall @t161 @t171)) % 0.38/1.00 (define @t173 () (not (= @t151 tptp.sk4))) % 0.38/1.00 (define @t174 () (tptp.ssItem tptp.sk5)) % 0.38/1.00 (define @t175 () (tptp.ssItem tptp.sk6)) % 0.38/1.00 (define @t176 () (tptp.ssList tptp.sk7)) % 0.38/1.00 (define @t177 () (= (tptp.app (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk7) tptp.sk2)) % 0.38/1.00 (define @t178 () (tptp.ssItem tptp.sk8)) % 0.38/1.00 (define @t179 () (or @t178 @t155 @t154 @t153 @t173)) % 0.38/1.00 (define @t180 () (forall @t161 @t179)) % 0.38/1.00 (define @t181 () (tptp.ssItem tptp.sk9)) % 0.38/1.00 (define @t182 () (or @t181 @t155 @t154 @t153 @t173)) % 0.38/1.00 (define @t183 () (forall @t161 @t182)) % 0.38/1.00 (define @t184 () (tptp.ssList tptp.sk10)) % 0.38/1.00 (define @t185 () (or @t184 @t155 @t154 @t153 @t173)) % 0.38/1.00 (define @t186 () (forall @t161 @t185)) % 0.38/1.00 (define @t187 () (tptp.cons tptp.sk9 tptp.nil)) % 0.38/1.00 (define @t188 () (tptp.cons tptp.sk8 tptp.nil)) % 0.38/1.00 (define @t189 () (tptp.app (tptp.app @t188 @t187) tptp.sk10)) % 0.38/1.00 (define @t190 () (= @t189 tptp.sk4)) % 0.38/1.00 (define @t191 () (or @t190 @t155 @t154 @t153 @t173)) % 0.38/1.00 (define @t192 () (forall @t161 @t191)) % 0.38/1.00 (define @t193 () (tptp.app (tptp.app @t187 @t188) tptp.sk10)) % 0.38/1.00 (define @t194 () (= @t193 tptp.sk3)) % 0.38/1.00 (define @t195 () (or @t194 @t155 @t154 @t153 @t173)) % 0.38/1.00 (define @t196 () (forall @t161 @t195)) % 0.38/1.00 (define @t197 () (or @t190 @t159)) % 0.38/1.00 (define @t198 () (or @t194 @t159)) % 0.38/1.00 (define @t199 () (or @t178 @t170)) % 0.38/1.00 (define @t200 () (or @t190 @t163)) % 0.38/1.00 (define @t201 () (or @t194 @t163)) % 0.38/1.00 (define @t202 () (or @t181 @t170)) % 0.38/1.00 (define @t203 () (or @t190 @t166)) % 0.38/1.00 (define @t204 () (or @t194 @t166)) % 0.38/1.00 (define @t205 () (or @t184 @t170)) % 0.38/1.00 (define @t206 () (or @t190 @t170)) % 0.38/1.00 (define @t207 () (or @t194 @t170)) % 0.38/1.00 (define @t208 () (not (= tptp.sk4 @t151))) % 0.38/1.00 (define @t209 () (or @t155 @t154 @t153 @t208)) % 0.38/1.00 (define @t210 () (forall @t161 @t209)) % 0.38/1.00 (define @t211 () (or @t178 @t209)) % 0.38/1.00 (define @t212 () (or @t178 @t155 @t154 @t153 @t208)) % 0.38/1.00 (define @t213 () (not (= tptp.sk4 @t139))) % 0.38/1.00 (define @t214 () (or @t143 @t142 @t141 @t213)) % 0.38/1.00 (define @t215 () (forall (@list @t138 @t137 @t136) @t214)) % 0.38/1.00 (define @t216 () (not (= tptp.sk1 @t149))) % 0.38/1.00 (define @t217 () (not (= tptp.sk2 @t151))) % 0.38/1.00 (define @t218 () (or @t155 @t154 @t153 @t217 @t216)) % 0.38/1.00 (define @t219 () (forall @t161 @t218)) % 0.38/1.00 (define @t220 () (or @t218 @t214)) % 0.38/1.00 (define @t221 () (or @t155 @t154 @t153 @t217 @t216 @t143 @t142 @t141 @t213)) % 0.38/1.00 (define @t222 () (= tptp.sk1 @t193)) % 0.38/1.00 (define @t223 () (not @t222)) % 0.38/1.00 (define @t224 () (= tptp.sk2 @t189)) % 0.38/1.00 (define @t225 () (not @t224)) % 0.38/1.00 (define @t226 () (not @t184)) % 0.38/1.00 (define @t227 () (not @t181)) % 0.38/1.00 (define @t228 () (not @t178)) % 0.38/1.00 (define @t229 () (or @t228 @t227 @t226 @t225 @t223)) % 0.38/1.00 (define @t230 () (or @t184 @t209)) % 0.38/1.00 (define @t231 () (or @t184 @t155 @t154 @t153 @t208)) % 0.38/1.00 (define @t232 () (= tptp.sk4 @t189)) % 0.38/1.00 (define @t233 () (or @t232 @t209)) % 0.38/1.00 (define @t234 () (or @t232 @t155 @t154 @t153 @t208)) % 0.38/1.00 (define @t235 () (= tptp.sk3 @t193)) % 0.38/1.00 (define @t236 () (or @t235 @t209)) % 0.38/1.00 (define @t237 () (or @t235 @t155 @t154 @t153 @t208)) % 0.38/1.00 (define @t238 () (and @t134 @t232)) % 0.38/1.00 (define @t239 () (and @t135 @t235)) % 0.38/1.00 (define @t240 () (= tptp.sk4 @t169)) % 0.38/1.00 (define @t241 () (not @t240)) % 0.38/1.00 (define @t242 () (not @t166)) % 0.38/1.00 (define @t243 () (not @t163)) % 0.38/1.00 (define @t244 () (not @t159)) % 0.38/1.00 (define @t245 () (or @t244 @t243 @t242 @t241)) % 0.38/1.00 (define @t246 () (not @t245)) % 0.38/1.00 (define @t247 () (= tptp.sk2 @t169)) % 0.38/1.00 (define @t248 () (and @t134 @t247)) % 0.38/1.00 (define @t249 () (or @t247 @t218)) % 0.38/1.00 (define @t250 () (or @t155 @t154 @t153 @t217 @t216 @t247)) % 0.38/1.00 (define @t251 () (@list false false)) % 0.38/1.00 (define @t252 () (or @t159 @t218)) % 0.38/1.00 (define @t253 () (or @t155 @t154 @t153 @t217 @t216 @t159)) % 0.38/1.00 (define @t254 () (or @t163 @t218)) % 0.38/1.00 (define @t255 () (or @t155 @t154 @t153 @t217 @t216 @t163)) % 0.38/1.00 (define @t256 () (or @t166 @t218)) % 0.38/1.00 (define @t257 () (or @t155 @t154 @t153 @t217 @t216 @t166)) % 0.38/1.00 (define @t258 () (@list false)) % 0.38/1.00 (define @t259 () (or @t181 @t209)) % 0.38/1.00 (define @t260 () (or @t181 @t155 @t154 @t153 @t208)) % 0.38/1.00 (define @t261 () (@list true)) % 0.38/1.00 (define @t262 () (@list @t181)) % 0.38/1.00 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.38/1.00 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.38/1.00 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.38/1.00 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.38/1.00 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.38/1.00 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.38/1.00 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.38/1.00 (assume @p8 (tptp.ssList tptp.nil)) % 0.38/1.00 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.38/1.00 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.38/1.00 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.38/1.00 (assume @p12 (forall @t3 (tptp.ssItem @t2))) % 0.38/1.00 (assume @p13 (forall @t3 (tptp.ssList @t4))) % 0.38/1.00 (assume @p14 (forall @t3 (tptp.ssList @t5))) % 0.38/1.00 (assume @p15 (forall @t3 (tptp.ssList @t6))) % 0.38/1.00 (assume @p16 (forall @t3 (tptp.ssItem @t7))) % 0.38/1.00 (assume @p17 (forall @t3 (tptp.ssItem @t8))) % 0.38/1.00 (assume @p18 (forall @t3 (tptp.ssList @t9))) % 0.38/1.00 (assume @p19 (forall @t3 (tptp.ssList @t10))) % 0.38/1.00 (assume @p20 (forall @t3 (tptp.ssList @t11))) % 0.38/1.00 (assume @p21 (forall @t3 (tptp.ssItem @t12))) % 0.38/1.00 (assume @p22 (forall @t3 (tptp.ssList @t13))) % 0.38/1.00 (assume @p23 (forall @t3 (tptp.ssList @t14))) % 0.38/1.00 (assume @p24 (forall @t3 (tptp.ssList @t15))) % 0.38/1.00 (assume @p25 (forall @t3 (tptp.ssItem @t16))) % 0.38/1.00 (assume @p26 (forall @t3 (tptp.ssItem @t17))) % 0.38/1.00 (assume @p27 (forall @t3 (tptp.ssList @t18))) % 0.38/1.00 (assume @p28 (forall @t3 (tptp.ssList @t19))) % 0.38/1.00 (assume @p29 (forall @t3 (tptp.ssList @t20))) % 0.38/1.00 (assume @p30 (forall @t3 (tptp.ssItem @t21))) % 0.38/1.00 (assume @p31 (forall @t3 (tptp.ssItem @t22))) % 0.38/1.00 (assume @p32 (forall @t3 (tptp.ssList @t23))) % 0.38/1.00 (assume @p33 (forall @t3 (tptp.ssList @t24))) % 0.38/1.00 (assume @p34 (forall @t3 (tptp.ssList @t25))) % 0.38/1.00 (assume @p35 (forall @t3 (tptp.ssItem @t26))) % 0.38/1.00 (assume @p36 (forall @t3 (tptp.ssItem @t27))) % 0.38/1.00 (assume @p37 (forall @t3 (tptp.ssList @t28))) % 0.38/1.00 (assume @p38 (forall @t3 (tptp.ssList @t29))) % 0.38/1.00 (assume @p39 (forall @t3 (tptp.ssList @t30))) % 0.38/1.00 (assume @p40 (forall @t3 (tptp.ssItem @t31))) % 0.38/1.00 (assume @p41 (forall @t3 (tptp.ssItem @t32))) % 0.38/1.00 (assume @p42 (forall @t3 (tptp.ssList @t33))) % 0.38/1.00 (assume @p43 (forall @t3 (tptp.ssList @t34))) % 0.38/1.00 (assume @p44 (forall @t3 (tptp.ssList @t35))) % 0.38/1.00 (assume @p45 (forall @t3 (tptp.ssItem @t36))) % 0.38/1.00 (assume @p46 (forall @t3 (tptp.ssItem @t37))) % 0.38/1.00 (assume @p47 (forall @t3 (tptp.ssItem @t38))) % 0.38/1.00 (assume @p48 (forall @t40 (tptp.ssList (tptp.skaf48 @t1 @t39)))) % 0.38/1.00 (assume @p49 (forall @t40 (tptp.ssList @t41))) % 0.38/1.00 (assume @p50 (forall @t40 (tptp.ssList @t42))) % 0.38/1.00 (assume @p51 (forall @t40 (tptp.ssList @t43))) % 0.38/1.00 (assume @p52 (forall @t40 (tptp.ssList (tptp.skaf43 @t1 @t39)))) % 0.38/1.00 (assume @p53 (forall @t40 (tptp.ssList @t44))) % 0.38/1.00 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.38/1.00 (assume @p55 (forall @t3 (or @t45 (tptp.geq @t1 @t1)))) % 0.38/1.00 (assume @p56 (forall @t3 (or @t46 (tptp.segmentP @t1 tptp.nil)))) % 0.38/1.00 (assume @p57 (forall @t3 (or @t46 (tptp.segmentP @t1 @t1)))) % 0.38/1.00 (assume @p58 (forall @t3 (or @t46 (tptp.rearsegP @t1 tptp.nil)))) % 0.38/1.00 (assume @p59 (forall @t3 (or @t46 (tptp.rearsegP @t1 @t1)))) % 0.38/1.00 (assume @p60 (forall @t3 (or @t46 (tptp.frontsegP @t1 tptp.nil)))) % 0.38/1.00 (assume @p61 (forall @t3 (or @t46 (tptp.frontsegP @t1 @t1)))) % 0.38/1.00 (assume @p62 (forall @t3 (or @t45 (tptp.leq @t1 @t1)))) % 0.38/1.00 (assume @p63 (forall @t3 (or (not (tptp.lt @t1 @t1)) @t45))) % 0.38/1.00 (assume @p64 (forall @t3 (or @t45 (tptp.equalelemsP @t47)))) % 0.38/1.00 (assume @p65 (forall @t3 (or @t45 (tptp.duplicatefreeP @t47)))) % 0.38/1.00 (assume @p66 (forall @t3 (or @t45 (tptp.strictorderedP @t47)))) % 0.38/1.00 (assume @p67 (forall @t3 (or @t45 (tptp.totalorderedP @t47)))) % 0.38/1.00 (assume @p68 (forall @t3 (or @t45 (tptp.strictorderP @t47)))) % 0.38/1.00 (assume @p69 (forall @t3 (or @t45 (tptp.totalorderP @t47)))) % 0.38/1.00 (assume @p70 (forall @t3 (or @t45 (tptp.cyclefreeP @t47)))) % 0.38/1.00 (assume @p71 (forall @t3 (or (not (tptp.memberP tptp.nil @t1)) @t45))) % 0.38/1.00 (assume @p72 (forall @t40 (or @t46 @t49 @t48))) % 0.38/1.00 (assume @p73 (forall @t3 (or @t46 (= (tptp.app @t1 tptp.nil) @t1)))) % 0.38/1.00 (assume @p74 (forall @t3 (or @t46 (= (tptp.app tptp.nil @t1) @t1)))) % 0.38/1.00 (assume @p75 (forall @t3 (or @t46 (tptp.ssList @t51) @t50))) % 0.38/1.00 (assume @p76 (forall @t3 (or @t46 (tptp.ssItem @t52) @t50))) % 0.38/1.00 (assume @p77 (forall @t3 (or @t54 @t46 @t53))) % 0.38/1.00 (assume @p78 (forall @t3 (or (not @t53) @t46 @t50))) % 0.38/1.00 (assume @p79 (forall @t3 (or @t54 @t46 @t55))) % 0.38/1.00 (assume @p80 (forall @t3 (or (not @t55) @t46 @t50))) % 0.38/1.00 (assume @p81 (forall @t3 (or @t54 @t46 @t56))) % 0.38/1.00 (assume @p82 (forall @t3 (or (not @t56) @t46 @t50))) % 0.38/1.00 (assume @p83 (forall @t40 (or @t46 @t58 (tptp.ssList @t57)))) % 0.38/1.00 (assume @p84 (forall @t40 (or @t45 @t58 (tptp.ssList @t59)))) % 0.38/1.00 (assume @p85 (forall @t3 (or @t46 @t60 (tptp.leq @t36 @t37)))) % 0.38/1.00 (assume @p86 (forall @t3 (or @t46 @t60 (tptp.leq @t37 @t36)))) % 0.38/1.00 (assume @p87 (forall @t3 (or (not (= @t7 @t8)) @t46 @t61))) % 0.38/1.00 (assume @p88 (forall @t3 (or (not (tptp.lt @t17 @t16)) @t46 @t62))) % 0.38/1.00 (assume @p89 (forall @t3 (or (not (tptp.leq @t22 @t21)) @t46 @t63))) % 0.38/1.00 (assume @p90 (forall @t3 (or (not (tptp.lt @t26 @t27)) @t46 @t64))) % 0.38/1.00 (assume @p91 (forall @t3 (or (not (tptp.lt @t27 @t26)) @t46 @t64))) % 0.38/1.00 (assume @p92 (forall @t3 (or (not (tptp.leq @t31 @t32)) @t46 @t65))) % 0.38/1.00 (assume @p93 (forall @t3 (or (not (tptp.leq @t32 @t31)) @t46 @t65))) % 0.38/1.00 (assume @p94 (forall @t40 (or @t45 @t58 (= (tptp.tl @t59) @t39)))) % 0.38/1.00 (assume @p95 (forall @t40 (or @t45 @t58 (= (tptp.hd @t59) @t1)))) % 0.38/1.00 (assume @p96 (forall @t40 (or (not (= @t59 tptp.nil)) @t45 @t58))) % 0.38/1.00 (assume @p97 (forall @t40 (or (not (= @t59 @t39)) @t45 @t58))) % 0.38/1.00 (assume @p98 (forall @t40 (or @t46 @t58 @t67 @t66))) % 0.38/1.00 (assume @p99 (forall @t3 (or (not (tptp.singletonP @t1)) @t46 (= (tptp.cons @t38 tptp.nil) @t1)))) % 0.38/1.00 (assume @p100 (forall @t40 (or @t45 @t68 @t67 @t66))) % 0.38/1.00 (assume @p101 (forall @t40 (or @t71 @t68 @t45 @t69))) % 0.38/1.00 (assume @p102 (forall @t3 (or @t46 (= (tptp.cons @t52 @t51) @t1) @t50))) % 0.38/1.00 (assume @p103 (forall @t40 (or @t73 @t68 @t45 @t72))) % 0.38/1.00 (assume @p104 (forall @t40 (or @t71 @t45 @t68 @t74))) % 0.38/1.00 (assume @p105 (forall @t40 (or @t76 @t68 @t45 @t75))) % 0.38/1.00 (assume @p106 (forall @t40 (or @t78 @t45 @t68 @t77))) % 0.38/1.00 (assume @p107 (forall @t3 (or @t46 (= (tptp.cons @t2 @t4) @t1) @t50))) % 0.38/1.00 (assume @p108 (forall @t40 (or @t73 (not @t74) @t45 @t68))) % 0.38/1.00 (assume @p109 (forall @t40 (or @t80 @t71 @t68 @t45))) % 0.38/1.00 (assume @p110 (forall @t40 (or @t54 @t46 @t68 (tptp.strictorderedP @t81)))) % 0.38/1.00 (assume @p111 (forall @t40 (or @t54 @t46 @t68 (tptp.totalorderedP @t81)))) % 0.38/1.00 (assume @p112 (forall @t40 (or @t71 (not @t72) @t45 @t68))) % 0.38/1.00 (assume @p113 (forall @t40 (or @t80 @t82 @t58 @t46))) % 0.38/1.00 (assume @p114 (forall @t40 (or (not (= @t47 @t39)) @t45 @t58 (tptp.singletonP @t39)))) % 0.38/1.00 (assume @p115 (forall @t40 (or @t80 @t82 @t68 @t45))) % 0.38/1.00 (assume @p116 (forall @t40 (or @t85 @t58 @t46 @t50))) % 0.38/1.00 (assume @p117 (forall @t40 (or @t85 @t58 @t46 @t86))) % 0.38/1.00 (assume @p118 (forall @t40 (or @t45 @t58 (= (tptp.app @t47 @t39) @t59)))) % 0.38/1.00 (assume @p119 (forall @t40 (or @t78 @t68 @t45 @t70 @t79))) % 0.38/1.00 (assume @p120 (forall @t40 (or @t46 @t58 @t86 (= (tptp.hd @t57) @t87)))) % 0.38/1.00 (assume @p121 (forall @t40 (or @t90 @t58 @t45 @t88 @t86))) % 0.38/1.00 (assume @p122 (forall @t40 (or @t93 @t58 @t45 @t91 @t86))) % 0.38/1.00 (assume @p123 (forall @t40 (or @t76 (not @t77) @t45 @t68 @t66))) % 0.38/1.00 (assume @p124 (forall @t40 (or @t94 (not (tptp.segmentP @t39 @t1)) @t46 @t58 @t66))) % 0.38/1.00 (assume @p125 (forall @t40 (or @t95 (not (tptp.rearsegP @t39 @t1)) @t46 @t58 @t66))) % 0.38/1.00 (assume @p126 (forall @t40 (or @t96 (not (tptp.frontsegP @t39 @t1)) @t46 @t58 @t66))) % 0.38/1.00 (assume @p127 (forall @t40 (or @t78 @t97 @t45 @t68 @t66))) % 0.38/1.00 (assume @p128 (forall @t40 (or @t95 @t58 @t46 (= (tptp.app @t42 @t39) @t1)))) % 0.38/1.00 (assume @p129 (forall @t40 (or @t96 @t58 @t46 (= (tptp.app @t39 @t43) @t1)))) % 0.38/1.00 (assume @p130 (forall @t40 (or @t46 @t58 @t86 (= (tptp.tl @t57) (tptp.app @t98 @t1))))) % 0.38/1.00 (assume @p131 (forall @t40 (or @t90 @t58 @t45 @t99 @t86))) % 0.38/1.00 (assume @p132 (forall @t40 (or @t93 @t58 @t45 @t100 @t86))) % 0.38/1.00 (assume @p133 (forall @t104 (or @t95 @t103 @t58 @t46 (tptp.rearsegP @t102 @t39)))) % 0.38/1.00 (assume @p134 (forall @t104 (or @t96 @t103 @t58 @t46 (tptp.frontsegP @t105 @t39)))) % 0.38/1.00 (assume @p135 (forall @t104 (or @t80 @t103 @t68 @t45 (tptp.memberP @t106 @t1)))) % 0.38/1.00 (assume @p136 (forall @t104 (or @t109 @t46 @t108 @t68 (tptp.memberP @t107 @t39)))) % 0.38/1.00 (assume @p137 (forall @t104 (or @t109 @t103 @t46 @t68 (tptp.memberP @t105 @t39)))) % 0.38/1.00 (assume @p138 (forall @t104 (or @t109 @t46 @t103 @t68 (tptp.memberP @t102 @t39)))) % 0.38/1.00 (assume @p139 (forall @t3 (or @t46 @t61 (= (tptp.app @t6 (tptp.cons @t8 (tptp.cons @t7 @t5))) @t1)))) % 0.38/1.00 (assume @p140 (forall @t104 (or @t110 @t46 @t58 @t103 (tptp.rearsegP @t101 @t39)))) % 0.38/1.00 (assume @p141 (forall @t104 (or @t110 @t58 @t46 @t103 (tptp.frontsegP @t101 @t1)))) % 0.38/1.00 (assume @p142 (forall @t40 (or @t54 (not @t86) @t58 @t46 @t84))) % 0.38/1.00 (assume @p143 (forall @t104 (or @t73 (not (tptp.gt @t39 @t101)) @t108 @t68 @t45 (tptp.gt @t1 @t101)))) % 0.38/1.00 (assume @p144 (forall @t104 (or @t78 @t112 @t108 @t68 @t45 @t111))) % 0.38/1.00 (assume @p145 (forall @t104 (or @t76 (not (tptp.geq @t39 @t101)) @t108 @t68 @t45 (tptp.geq @t1 @t101)))) % 0.38/1.00 (assume @p146 (forall @t104 (or @t46 @t58 @t103 (= (tptp.app @t113 @t1) (tptp.app @t101 @t57))))) % 0.38/1.00 (assume @p147 (forall @t104 (or (not (= @t83 @t105)) @t58 @t46 @t103 @t114))) % 0.38/1.00 (assume @p148 (forall @t104 (or (not (= @t83 @t113)) @t46 @t58 @t103 @t115))) % 0.38/1.00 (assume @p149 (forall @t104 (or @t94 (not (tptp.segmentP @t39 @t101)) @t103 @t58 @t46 (tptp.segmentP @t1 @t101)))) % 0.38/1.00 (assume @p150 (forall @t104 (or @t95 (not (tptp.rearsegP @t39 @t101)) @t103 @t58 @t46 (tptp.rearsegP @t1 @t101)))) % 0.38/1.00 (assume @p151 (forall @t104 (or @t96 (not (tptp.frontsegP @t39 @t101)) @t103 @t58 @t46 (tptp.frontsegP @t1 @t101)))) % 0.38/1.00 (assume @p152 (forall @t104 (or @t71 @t112 @t108 @t68 @t45 @t111))) % 0.38/1.00 (assume @p153 (forall @t104 (or @t78 (not (tptp.leq @t39 @t101)) @t108 @t68 @t45 (tptp.leq @t1 @t101)))) % 0.38/1.00 (assume @p154 (forall @t104 (or @t45 @t58 @t103 (= (tptp.cons @t1 (tptp.app @t39 @t101)) (tptp.app @t59 @t101))))) % 0.38/1.00 (assume @p155 (forall @t104 (or (not (tptp.memberP @t83 @t101)) @t58 @t46 @t108 @t116 (tptp.memberP @t1 @t101)))) % 0.38/1.00 (assume @p156 (forall @t40 (or (not @t100) (not @t91) @t58 @t45 @t92 @t86))) % 0.38/1.00 (assume @p157 (forall @t40 (or (not @t99) (not @t88) @t58 @t45 @t89 @t86))) % 0.38/1.00 (assume @p158 (forall @t104 (or (not (tptp.memberP @t59 @t101)) @t58 @t45 @t108 @t116 (= @t101 @t1)))) % 0.38/1.00 (assume @p159 (forall @t3 (or @t46 @t49 (= (tptp.app (tptp.app @t11 (tptp.cons @t12 @t10)) (tptp.cons @t12 @t9)) @t1)))) % 0.38/1.00 (assume @p160 (forall @t3 (or @t46 @t62 (= (tptp.app (tptp.app @t15 (tptp.cons @t17 @t14)) (tptp.cons @t16 @t13)) @t1)))) % 0.38/1.00 (assume @p161 (forall @t3 (or @t46 @t63 (= (tptp.app (tptp.app @t20 (tptp.cons @t22 @t19)) (tptp.cons @t21 @t18)) @t1)))) % 0.38/1.00 (assume @p162 (forall @t3 (or @t46 @t64 (= (tptp.app (tptp.app @t25 (tptp.cons @t27 @t24)) (tptp.cons @t26 @t23)) @t1)))) % 0.38/1.00 (assume @p163 (forall @t3 (or @t46 @t65 (= (tptp.app (tptp.app @t30 (tptp.cons @t32 @t29)) (tptp.cons @t31 @t28)) @t1)))) % 0.38/1.00 (assume @p164 (forall @t3 (or @t46 @t60 (= (tptp.app (tptp.app @t35 (tptp.cons @t37 @t34)) (tptp.cons @t36 @t33)) @t1)))) % 0.38/1.00 (assume @p165 (forall @t40 (or @t94 @t58 @t46 (= (tptp.app (tptp.app @t41 @t39) (tptp.skaf48 @t39 @t1)) @t1)))) % 0.38/1.00 (assume @p166 (forall @t40 (or @t109 @t68 @t46 (= (tptp.app @t44 (tptp.cons @t39 (tptp.skaf43 @t39 @t1))) @t1)))) % 0.38/1.00 (assume @p167 (forall @t121 (or @t120 @t108 @t45 @t118 @t58 @t115))) % 0.38/1.00 (assume @p168 (forall @t121 (or @t120 @t108 @t45 @t118 @t58 (= @t117 @t39)))) % 0.38/1.00 (assume @p169 (forall @t121 (or @t94 @t103 @t118 @t58 @t46 (tptp.segmentP (tptp.app (tptp.app @t117 @t1) @t101) @t39)))) % 0.38/1.00 (assume @p170 (forall @t121 (or (not (= (tptp.app @t83 @t101) @t117)) @t103 @t46 @t58 @t118 (tptp.segmentP @t117 @t39)))) % 0.38/1.00 (assume @p171 (forall @t121 (or @t122 @t118 @t58 @t108 @t45 (tptp.frontsegP @t39 @t117)))) % 0.38/1.00 (assume @p172 (forall @t121 (or (not (= @t123 @t117)) @t103 @t46 @t68 @t118 (tptp.memberP @t117 @t39)))) % 0.38/1.00 (assume @p173 (forall @t121 (or @t122 @t118 @t58 @t108 @t45 @t115))) % 0.38/1.00 (assume @p174 (forall @t40 (or (not (= @t51 @t98)) (not (= @t52 @t87)) @t46 @t58 @t86 @t79 @t50))) % 0.38/1.00 (assume @p175 (forall @t121 (or @t96 (not (= @t101 @t117)) @t58 @t46 @t124 @t108 (tptp.frontsegP @t107 (tptp.cons @t117 @t39))))) % 0.38/1.00 (assume @p176 (forall @t127 (or (not (= (tptp.app @t123 (tptp.cons @t39 @t117)) @t125)) @t118 @t103 @t46 @t68 (not (tptp.duplicatefreeP @t125)) @t126))) % 0.38/1.00 (assume @p177 (forall @t127 (or (not (= (tptp.app @t1 (tptp.cons @t39 @t119)) @t125)) @t118 @t46 @t108 @t68 (not (tptp.equalelemsP @t125)) @t126 @t114))) % 0.38/1.00 (assume @p178 (forall @t132 (or @t131 @t126 @t103 @t46 @t124 @t68 (not (tptp.strictorderedP @t129)) @t130 @t128))) % 0.38/1.00 (assume @p179 (forall @t132 (or @t131 @t126 @t103 @t46 @t124 @t68 (not (tptp.totalorderedP @t129)) @t130 @t133))) % 0.38/1.00 (assume @p180 (forall @t132 (or @t131 @t126 @t103 @t46 @t124 @t68 (not (tptp.strictorderP @t129)) @t130 @t128 (tptp.lt @t117 @t39)))) % 0.38/1.00 (assume @p181 (forall @t132 (or @t131 @t126 @t103 @t46 @t124 @t68 (not (tptp.totalorderP @t129)) @t130 @t133 (tptp.leq @t117 @t39)))) % 0.38/1.00 (assume @p182 (forall @t132 (or @t78 @t97 (not (= (tptp.app (tptp.app @t101 (tptp.cons @t1 @t117)) (tptp.cons @t39 @t125)) @t129)) @t126 @t118 @t103 @t68 @t45 (not (tptp.cyclefreeP @t129)) @t130))) % 0.38/1.00 (assume @p183 (tptp.ssList tptp.sk1)) % 0.38/1.00 (assume @p184 (tptp.ssList tptp.sk2)) % 0.38/1.00 (assume @p185 (tptp.ssList tptp.sk3)) % 0.38/1.00 (assume @p186 (tptp.ssList tptp.sk4)) % 0.38/1.00 (assume @p187 @t134) % 0.38/1.00 (assume @p188 @t135) % 0.38/1.00 (assume @p189 @t158) % 0.38/1.00 (assume @p190 @t162) % 0.38/1.00 (assume @p191 @t165) % 0.38/1.00 (assume @p192 @t168) % 0.38/1.00 (assume @p193 @t172) % 0.38/1.00 (assume @p194 (forall @t161 (or @t174 @t155 @t154 @t153 @t173))) % 0.38/1.00 (assume @p195 (forall @t161 (or @t175 @t155 @t154 @t153 @t173))) % 0.38/1.00 (assume @p196 (forall @t161 (or @t176 @t155 @t154 @t153 @t173))) % 0.38/1.00 (assume @p197 (forall @t161 (or @t177 @t155 @t154 @t153 @t173))) % 0.38/1.00 (assume @p198 @t180) % 0.38/1.00 (assume @p199 @t183) % 0.38/1.00 (assume @p200 @t186) % 0.38/1.00 (assume @p201 @t192) % 0.38/1.00 (assume @p202 @t196) % 0.38/1.00 (assume @p203 (or @t174 @t159)) % 0.38/1.00 (assume @p204 (or @t175 @t159)) % 0.38/1.00 (assume @p205 (or @t176 @t159)) % 0.38/1.00 (assume @p206 (or @t177 @t159)) % 0.38/1.00 (assume @p207 (or @t174 @t163)) % 0.38/1.00 (assume @p208 (or @t174 @t166)) % 0.38/1.00 (assume @p209 (or @t174 @t170)) % 0.38/1.00 (assume @p210 (or @t175 @t163)) % 0.38/1.00 (assume @p211 (or @t176 @t163)) % 0.38/1.00 (assume @p212 (or @t177 @t163)) % 0.38/1.00 (assume @p213 (or @t175 @t166)) % 0.38/1.00 (assume @p214 (or @t175 @t170)) % 0.38/1.00 (assume @p215 (or @t176 @t166)) % 0.38/1.00 (assume @p216 (or @t177 @t166)) % 0.38/1.00 (assume @p217 (or @t176 @t170)) % 0.38/1.00 (assume @p218 (or @t177 @t170)) % 0.38/1.00 (assume @p219 (or @t178 @t159)) % 0.38/1.00 (assume @p220 (or @t181 @t159)) % 0.38/1.00 (assume @p221 (or @t184 @t159)) % 0.38/1.00 (assume @p222 @t197) % 0.38/1.00 (assume @p223 @t198) % 0.38/1.00 (assume @p224 (or @t178 @t163)) % 0.38/1.00 (assume @p225 (or @t178 @t166)) % 0.38/1.00 (assume @p226 @t199) % 0.38/1.00 (assume @p227 (or @t181 @t163)) % 0.38/1.00 (assume @p228 (or @t184 @t163)) % 0.38/1.00 (assume @p229 @t200) % 0.38/1.00 (assume @p230 @t201) % 0.38/1.00 (assume @p231 (or @t181 @t166)) % 0.38/1.00 (assume @p232 @t202) % 0.38/1.00 (assume @p233 (or @t184 @t166)) % 0.38/1.00 (assume @p234 @t203) % 0.38/1.00 (assume @p235 @t204) % 0.38/1.00 (assume @p236 @t205) % 0.38/1.00 (assume @p237 @t206) % 0.38/1.00 (assume @p238 @t207) % 0.38/1.00 (step @p239 :rule quant-miniscope-or :args ((= (forall @t161 @t211) (or @t178 @t210)))) % 0.38/1.00 (step @p240 :rule aci_norm :args ((= @t212 @t211))) % 0.38/1.00 (step @p241 :rule cong :premises (@p240) :args ((forall @t161 @t212))) % 0.38/1.00 (step @p242 :rule trans :premises (@p241 @p239)) % 0.38/1.00 (step @p243 :rule eq-symm :args (@t151 tptp.sk4)) % 0.38/1.00 (step @p244 :rule cong :premises (@p243) :args (@t173)) % 0.38/1.00 (step @p245 :rule refl :args (@t153)) % 0.38/1.00 (step @p246 :rule refl :args (@t154)) % 0.38/1.00 (step @p247 :rule refl :args (@t155)) % 0.38/1.00 (step @p248 :rule refl :args (@t178)) % 0.38/1.00 (step @p249 :rule nary_cong :premises (@p248 @p247 @p246 @p245 @p244) :args (@t179)) % 0.38/1.00 (step @p250 :rule cong :premises (@p249) :args (@t180)) % 0.38/1.00 (step @p251 :rule trans :premises (@p250 @p242)) % 0.38/1.00 (step @p252 :rule eq_resolve :premises (@p198 @p251)) % 0.38/1.00 (step @p253 :rule reordering :premises (@p219) :args ((or @t159 @t178))) % 0.38/1.00 (step @p254 :rule reordering :premises (@p224) :args ((or @t163 @t178))) % 0.38/1.00 (step @p255 :rule reordering :premises (@p225) :args ((or @t166 @t178))) % 0.38/1.00 (step @p256 :rule alpha_equiv :args (@t215 (@list @t138 @t137 @t136) (@list @t145 @t147 @t144))) % 0.38/1.00 (step @p257 :rule equiv_elim2 :premises (@p256)) % 0.38/1.00 (step @p258 :rule eq-symm :args (@t169 tptp.sk2)) % 0.38/1.00 (step @p259 :rule nary_cong :premises (@p248 @p258) :args (@t199)) % 0.38/1.00 (step @p260 :rule eq_resolve :premises (@p226 @p259)) % 0.38/1.00 (step @p261 :rule refl :args (@t181)) % 0.38/1.00 (step @p262 :rule nary_cong :premises (@p261 @p258) :args (@t202)) % 0.38/1.00 (step @p263 :rule eq_resolve :premises (@p232 @p262)) % 0.38/1.00 (step @p264 :rule quant-miniscope-or :args ((= (forall @t157 @t220) (or @t219 @t215)))) % 0.38/1.00 (step @p265 :rule aci_norm :args ((= @t221 @t220))) % 0.38/1.00 (step @p266 :rule cong :premises (@p265) :args ((forall @t157 @t221))) % 0.38/1.00 (step @p267 :rule trans :premises (@p266 @p264)) % 0.38/1.00 (step @p268 :rule eq-symm :args (@t139 tptp.sk4)) % 0.38/1.00 (step @p269 :rule cong :premises (@p268) :args (@t140)) % 0.38/1.00 (step @p270 :rule refl :args (@t141)) % 0.38/1.00 (step @p271 :rule refl :args (@t142)) % 0.38/1.00 (step @p272 :rule refl :args (@t143)) % 0.38/1.00 (step @p273 :rule eq-symm :args (@t149 tptp.sk1)) % 0.38/1.00 (step @p274 :rule cong :premises (@p273) :args (@t150)) % 0.38/1.00 (step @p275 :rule eq-symm :args (@t151 tptp.sk2)) % 0.38/1.00 (step @p276 :rule cong :premises (@p275) :args (@t152)) % 0.38/1.00 (step @p277 :rule nary_cong :premises (@p247 @p246 @p245 @p276 @p274 @p272 @p271 @p270 @p269) :args (@t156)) % 0.38/1.00 (step @p278 :rule cong :premises (@p277) :args (@t158)) % 0.38/1.00 (step @p279 :rule trans :premises (@p278 @p267)) % 0.38/1.00 (step @p280 :rule eq_resolve :premises (@p189 @p279)) % 0.38/1.00 (assume-push @p467 @t219) % 0.38/1.00 (step @p282 :rule instantiate :premises (@p467) :args ((@list tptp.sk8 tptp.sk9 tptp.sk10))) % 0.38/1.00 (step-pop @p468 :rule scope :premises (@p282)) % 0.38/1.00 (step @p283 :rule process_scope :premises (@p468) :args (@t229)) % 0.38/1.00 (step @p285 :rule implies_elim :premises (@p283)) % 0.38/1.00 (step @p286 :rule quant-miniscope-or :args ((= (forall @t161 @t230) (or @t184 @t210)))) % 0.38/1.00 (step @p287 :rule aci_norm :args ((= @t231 @t230))) % 0.38/1.00 (step @p288 :rule cong :premises (@p287) :args ((forall @t161 @t231))) % 0.38/1.00 (step @p289 :rule trans :premises (@p288 @p286)) % 0.38/1.00 (step @p290 :rule refl :args (@t184)) % 0.38/1.00 (step @p291 :rule nary_cong :premises (@p290 @p247 @p246 @p245 @p244) :args (@t185)) % 0.38/1.00 (step @p292 :rule cong :premises (@p291) :args (@t186)) % 0.38/1.00 (step @p293 :rule trans :premises (@p292 @p289)) % 0.38/1.00 (step @p294 :rule eq_resolve :premises (@p200 @p293)) % 0.38/1.00 (step @p295 :rule quant-miniscope-or :args ((= (forall @t161 @t233) (or @t232 @t210)))) % 0.38/1.00 (step @p296 :rule aci_norm :args ((= @t234 @t233))) % 0.38/1.00 (step @p297 :rule cong :premises (@p296) :args ((forall @t161 @t234))) % 0.38/1.00 (step @p298 :rule trans :premises (@p297 @p295)) % 0.38/1.00 (step @p299 :rule eq-symm :args (@t189 tptp.sk4)) % 0.38/1.00 (step @p300 :rule nary_cong :premises (@p299 @p247 @p246 @p245 @p244) :args (@t191)) % 0.38/1.00 (step @p301 :rule cong :premises (@p300) :args (@t192)) % 0.38/1.00 (step @p302 :rule trans :premises (@p301 @p298)) % 0.38/1.00 (step @p303 :rule eq_resolve :premises (@p201 @p302)) % 0.38/1.00 (step @p304 :rule reordering :premises (@p303) :args ((or @t210 @t232))) % 0.38/1.00 (step @p305 :rule quant-miniscope-or :args ((= (forall @t161 @t236) (or @t235 @t210)))) % 0.38/1.00 (step @p306 :rule aci_norm :args ((= @t237 @t236))) % 0.38/1.00 (step @p307 :rule cong :premises (@p306) :args ((forall @t161 @t237))) % 0.38/1.00 (step @p308 :rule trans :premises (@p307 @p305)) % 0.38/1.00 (step @p309 :rule eq-symm :args (@t193 tptp.sk3)) % 0.38/1.00 (step @p310 :rule nary_cong :premises (@p309 @p247 @p246 @p245 @p244) :args (@t195)) % 0.38/1.00 (step @p311 :rule cong :premises (@p310) :args (@t196)) % 0.38/1.00 (step @p312 :rule trans :premises (@p311 @p308)) % 0.38/1.00 (step @p313 :rule eq_resolve :premises (@p202 @p312)) % 0.38/1.00 (step @p314 :rule reordering :premises (@p313) :args ((or @t210 @t235))) % 0.38/1.00 (assume-push @p469 @t134) % 0.38/1.00 (assume-push @p470 @t232) % 0.38/1.00 (assume-push @p471 @t232) % 0.38/1.00 (assume-push @p472 @t134) % 0.38/1.00 (step @p319 :rule trans :premises (@p187 @p470)) % 0.38/1.00 (step-pop @p473 :rule scope :premises (@p319)) % 0.38/1.00 (step-pop @p474 :rule scope :premises (@p473)) % 0.38/1.00 (step @p320 :rule process_scope :premises (@p474) :args (@t224)) % 0.38/1.00 (step @p323 :rule and_intro :premises (@p470 @p187)) % 0.38/1.00 (step @p324 :rule modus_ponens :premises (@p323 @p320)) % 0.38/1.00 (step-pop @p475 :rule scope :premises (@p324)) % 0.38/1.00 (step-pop @p476 :rule scope :premises (@p475)) % 0.38/1.00 (step @p325 :rule process_scope :premises (@p476) :args (@t224)) % 0.38/1.00 (step @p328 :rule implies_elim :premises (@p325)) % 0.38/1.00 (step @p329 :rule cnf_and_neg :args (@t238)) % 0.38/1.00 (step @p330 :rule resolution :premises (@p329 @p328) :args (true @t238)) % 0.38/1.00 (assume-push @p477 @t135) % 0.38/1.00 (assume-push @p478 @t235) % 0.38/1.00 (assume-push @p479 @t235) % 0.38/1.00 (assume-push @p480 @t135) % 0.38/1.00 (step @p335 :rule trans :premises (@p188 @p478)) % 0.38/1.00 (step-pop @p481 :rule scope :premises (@p335)) % 0.38/1.00 (step-pop @p482 :rule scope :premises (@p481)) % 0.38/1.00 (step @p336 :rule process_scope :premises (@p482) :args (@t222)) % 0.38/1.00 (step @p339 :rule and_intro :premises (@p478 @p188)) % 0.38/1.00 (step @p340 :rule modus_ponens :premises (@p339 @p336)) % 0.38/1.00 (step-pop @p483 :rule scope :premises (@p340)) % 0.38/1.00 (step-pop @p484 :rule scope :premises (@p483)) % 0.38/1.00 (step @p341 :rule process_scope :premises (@p484) :args (@t222)) % 0.38/1.00 (step @p344 :rule implies_elim :premises (@p341)) % 0.38/1.00 (step @p345 :rule cnf_and_neg :args (@t239)) % 0.38/1.00 (step @p346 :rule resolution :premises (@p345 @p344) :args (true @t239)) % 0.38/1.00 (step @p347 :rule cnf_or_pos :args (@t229)) % 0.38/1.00 (step @p348 :rule reordering :premises (@p347) :args ((or @t228 @t227 @t226 @t225 @t223 (not @t229)))) % 0.38/1.00 (step @p349 :rule chain_m_resolution :premises (@p348 @p346 @p188 @p330 @p187 @p314 @p304 @p294 @p285 @p257 @p280) :args ((or @t215 @t228 @t227) (@list false false false false false false false false true false) (@list @t222 @t135 @t224 @t134 @t235 @t232 @t184 @t229 @t210 @t219))) % 0.38/1.00 (assume-push @p485 @t215) % 0.38/1.00 (step @p351 :rule instantiate :premises (@p485) :args ((@list tptp.sk11 tptp.sk12 tptp.sk13))) % 0.38/1.00 (step-pop @p486 :rule scope :premises (@p351)) % 0.38/1.00 (step @p352 :rule process_scope :premises (@p486) :args (@t245)) % 0.38/1.00 (step @p354 :rule implies_elim :premises (@p352)) % 0.38/1.00 (step @p355 :rule reordering :premises (@p221) :args ((or @t159 @t184))) % 0.38/1.00 (step @p356 :rule reordering :premises (@p228) :args ((or @t163 @t184))) % 0.38/1.00 (step @p357 :rule reordering :premises (@p233) :args ((or @t166 @t184))) % 0.38/1.00 (step @p358 :rule nary_cong :premises (@p290 @p258) :args (@t205)) % 0.38/1.00 (step @p359 :rule eq_resolve :premises (@p236 @p358)) % 0.38/1.00 (step @p360 :rule cnf_or_pos :args (@t245)) % 0.38/1.00 (step @p361 :rule reordering :premises (@p360) :args ((or @t244 @t243 @t242 @t241 @t246))) % 0.38/1.00 (assume-push @p487 @t134) % 0.38/1.00 (assume-push @p488 @t247) % 0.38/1.00 (assume-push @p489 @t247) % 0.38/1.00 (assume-push @p490 @t134) % 0.38/1.00 (step @p366 :rule symm :premises (@p187)) % 0.38/1.00 (step @p367 :rule trans :premises (@p366 @p488)) % 0.38/1.00 (step-pop @p491 :rule scope :premises (@p367)) % 0.38/1.00 (step-pop @p492 :rule scope :premises (@p491)) % 0.38/1.00 (step @p368 :rule process_scope :premises (@p492) :args (@t240)) % 0.38/1.00 (step @p371 :rule and_intro :premises (@p488 @p187)) % 0.38/1.00 (step @p372 :rule modus_ponens :premises (@p371 @p368)) % 0.38/1.00 (step-pop @p493 :rule scope :premises (@p372)) % 0.38/1.00 (step-pop @p494 :rule scope :premises (@p493)) % 0.38/1.00 (step @p373 :rule process_scope :premises (@p494) :args (@t240)) % 0.38/1.00 (step @p376 :rule implies_elim :premises (@p373)) % 0.38/1.00 (step @p377 :rule cnf_and_neg :args (@t248)) % 0.38/1.00 (step @p378 :rule resolution :premises (@p377 @p376) :args (true @t248)) % 0.38/1.00 (step @p379 :rule chain_m_resolution :premises (@p378 @p187 @p361 @p359 @p357 @p356 @p355) :args ((or @t184 @t246) (@list false true false false false false) (@list @t134 @t240 @t247 @t166 @t163 @t159))) % 0.38/1.00 (step @p380 :rule quant-miniscope-or :args ((= (forall @t161 @t249) (or @t247 @t219)))) % 0.38/1.00 (step @p381 :rule aci_norm :args ((= @t250 @t249))) % 0.38/1.00 (step @p382 :rule cong :premises (@p381) :args ((forall @t161 @t250))) % 0.38/1.00 (step @p383 :rule trans :premises (@p382 @p380)) % 0.38/1.00 (step @p384 :rule nary_cong :premises (@p247 @p246 @p245 @p276 @p274 @p258) :args (@t171)) % 0.38/1.00 (step @p385 :rule cong :premises (@p384) :args (@t172)) % 0.38/1.00 (step @p386 :rule trans :premises (@p385 @p383)) % 0.38/1.00 (step @p387 :rule eq_resolve :premises (@p193 @p386)) % 0.38/1.00 (step @p388 :rule reordering :premises (@p387) :args ((or @t219 @t247))) % 0.38/1.00 (step @p389 :rule nary_cong :premises (@p299 @p258) :args (@t206)) % 0.38/1.00 (step @p390 :rule eq_resolve :premises (@p237 @p389)) % 0.38/1.00 (step @p391 :rule reordering :premises (@p390) :args ((or @t247 @t232))) % 0.38/1.00 (step @p392 :rule nary_cong :premises (@p309 @p258) :args (@t207)) % 0.38/1.00 (step @p393 :rule eq_resolve :premises (@p238 @p392)) % 0.38/1.00 (step @p394 :rule reordering :premises (@p393) :args ((or @t247 @t235))) % 0.38/1.00 (step @p395 :rule chain_m_resolution :premises (@p348 @p346 @p188 @p330 @p187 @p285 @p394 @p391 @p388 @p379 @p354 @p349) :args ((or @t247 @t228 @t227) (@list false false false false false false false false false false false) (@list @t222 @t135 @t224 @t134 @t229 @t235 @t232 @t219 @t184 @t245 @t215))) % 0.38/1.00 (step @p396 :rule chain_m_resolution :premises (@p395 @p263 @p260) :args (@t247 @t251 (@list @t181 @t178))) % 0.38/1.00 (step @p397 :rule chain_m_resolution :premises (@p378 @p187 @p396) :args (@t240 @t251 (@list @t134 @t247))) % 0.38/1.00 (step @p398 :rule chain_m_resolution :premises (@p354 @p361 @p397 @p257 @p255 @p254 @p253 @p252) :args (@t178 (@list true false false false false false false) (@list @t245 @t240 @t215 @t166 @t163 @t159 @t210))) % 0.38/1.00 (step @p399 :rule refl :args (@t159)) % 0.38/1.00 (step @p400 :rule nary_cong :premises (@p299 @p399) :args (@t197)) % 0.38/1.00 (step @p401 :rule eq_resolve :premises (@p222 @p400)) % 0.38/1.00 (step @p402 :rule reordering :premises (@p401) :args ((or @t159 @t232))) % 0.38/1.00 (step @p403 :rule refl :args (@t163)) % 0.38/1.00 (step @p404 :rule nary_cong :premises (@p299 @p403) :args (@t200)) % 0.38/1.00 (step @p405 :rule eq_resolve :premises (@p229 @p404)) % 0.38/1.00 (step @p406 :rule reordering :premises (@p405) :args ((or @t163 @t232))) % 0.38/1.00 (step @p407 :rule refl :args (@t166)) % 0.38/1.00 (step @p408 :rule nary_cong :premises (@p299 @p407) :args (@t203)) % 0.38/1.00 (step @p409 :rule eq_resolve :premises (@p234 @p408)) % 0.38/1.00 (step @p410 :rule reordering :premises (@p409) :args ((or @t166 @t232))) % 0.38/1.00 (step @p411 :rule chain_m_resolution :premises (@p361 @p410 @p406 @p402) :args ((or @t232 @t241 @t246) (@list false false false) (@list @t166 @t163 @t159))) % 0.38/1.00 (step @p412 :rule quant-miniscope-or :args ((= (forall @t161 @t252) (or @t159 @t219)))) % 0.38/1.00 (step @p413 :rule aci_norm :args ((= @t253 @t252))) % 0.38/1.00 (step @p414 :rule cong :premises (@p413) :args ((forall @t161 @t253))) % 0.38/1.00 (step @p415 :rule trans :premises (@p414 @p412)) % 0.38/1.00 (step @p416 :rule nary_cong :premises (@p247 @p246 @p245 @p276 @p274 @p399) :args (@t160)) % 0.38/1.00 (step @p417 :rule cong :premises (@p416) :args (@t162)) % 0.38/1.00 (step @p418 :rule trans :premises (@p417 @p415)) % 0.38/1.00 (step @p419 :rule eq_resolve :premises (@p190 @p418)) % 0.38/1.00 (step @p420 :rule nary_cong :premises (@p309 @p399) :args (@t198)) % 0.38/1.00 (step @p421 :rule eq_resolve :premises (@p223 @p420)) % 0.38/1.00 (step @p422 :rule reordering :premises (@p421) :args ((or @t159 @t235))) % 0.38/1.00 (step @p423 :rule chain_m_resolution :premises (@p348 @p346 @p188 @p285 @p422 @p419 @p330 @p411 @p378 @p187 @p395 @p379 @p354 @p349) :args ((or @t159 @t228 @t227) (@list false false false false false false false false false false false false false) (@list @t222 @t135 @t229 @t235 @t219 @t224 @t232 @t240 @t134 @t247 @t184 @t245 @t215))) % 0.38/1.00 (step @p424 :rule quant-miniscope-or :args ((= (forall @t161 @t254) (or @t163 @t219)))) % 0.38/1.00 (step @p425 :rule aci_norm :args ((= @t255 @t254))) % 0.38/1.00 (step @p426 :rule cong :premises (@p425) :args ((forall @t161 @t255))) % 0.38/1.00 (step @p427 :rule trans :premises (@p426 @p424)) % 0.38/1.00 (step @p428 :rule nary_cong :premises (@p247 @p246 @p245 @p276 @p274 @p403) :args (@t164)) % 0.38/1.00 (step @p429 :rule cong :premises (@p428) :args (@t165)) % 0.38/1.00 (step @p430 :rule trans :premises (@p429 @p427)) % 0.38/1.00 (step @p431 :rule eq_resolve :premises (@p191 @p430)) % 0.38/1.00 (step @p432 :rule quant-miniscope-or :args ((= (forall @t161 @t256) (or @t166 @t219)))) % 0.38/1.00 (step @p433 :rule aci_norm :args ((= @t257 @t256))) % 0.38/1.00 (step @p434 :rule cong :premises (@p433) :args ((forall @t161 @t257))) % 0.38/1.00 (step @p435 :rule trans :premises (@p434 @p432)) % 0.38/1.00 (step @p436 :rule nary_cong :premises (@p247 @p246 @p245 @p276 @p274 @p407) :args (@t167)) % 0.38/1.00 (step @p437 :rule cong :premises (@p436) :args (@t168)) % 0.38/1.00 (step @p438 :rule trans :premises (@p437 @p435)) % 0.38/1.00 (step @p439 :rule eq_resolve :premises (@p192 @p438)) % 0.38/1.00 (step @p440 :rule chain_m_resolution :premises (@p361 @p439 @p431) :args ((or @t219 @t244 @t241 @t246) @t251 (@list @t166 @t163))) % 0.38/1.00 (step @p441 :rule nary_cong :premises (@p309 @p403) :args (@t201)) % 0.38/1.00 (step @p442 :rule eq_resolve :premises (@p230 @p441)) % 0.38/1.00 (step @p443 :rule reordering :premises (@p442) :args ((or @t163 @t235))) % 0.38/1.00 (step @p444 :rule nary_cong :premises (@p309 @p407) :args (@t204)) % 0.38/1.00 (step @p445 :rule eq_resolve :premises (@p235 @p444)) % 0.38/1.00 (step @p446 :rule reordering :premises (@p445) :args ((or @t166 @t235))) % 0.38/1.00 (step @p447 :rule chain_m_resolution :premises (@p361 @p397 @p446 @p443 @p346 @p188 @p348 @p330 @p187 @p285 @p411 @p397 @p440 @p397 @p379 @p354 @p423 @p349) :args ((or @t228 @t227) (@list false false false true false true false false false false false false false false false false false) (@list @t240 @t166 @t163 @t235 @t135 @t222 @t224 @t134 @t229 @t232 @t240 @t219 @t240 @t184 @t245 @t159 @t215))) % 0.38/1.00 (step @p448 :rule chain_m_resolution :premises (@p447 @p398) :args (@t227 @t258 (@list @t178))) % 0.38/1.00 (step @p449 :rule quant-miniscope-or :args ((= (forall @t161 @t259) (or @t181 @t210)))) % 0.38/1.00 (step @p450 :rule aci_norm :args ((= @t260 @t259))) % 0.38/1.00 (step @p451 :rule cong :premises (@p450) :args ((forall @t161 @t260))) % 0.38/1.00 (step @p452 :rule trans :premises (@p451 @p449)) % 0.38/1.00 (step @p453 :rule nary_cong :premises (@p261 @p247 @p246 @p245 @p244) :args (@t182)) % 0.38/1.00 (step @p454 :rule cong :premises (@p453) :args (@t183)) % 0.38/1.00 (step @p455 :rule trans :premises (@p454 @p452)) % 0.38/1.00 (step @p456 :rule eq_resolve :premises (@p199 @p455)) % 0.38/1.00 (step @p457 :rule chain_m_resolution :premises (@p456 @p448) :args (@t210 @t261 @t262)) % 0.38/1.00 (step @p458 :rule chain_m_resolution :premises (@p257 @p457) :args (@t215 @t258 (@list @t210))) % 0.38/1.00 (step @p459 :rule reordering :premises (@p231) :args ((or @t166 @t181))) % 0.38/1.00 (step @p460 :rule chain_m_resolution :premises (@p459 @p448) :args (@t166 @t261 @t262)) % 0.38/1.00 (step @p461 :rule reordering :premises (@p227) :args ((or @t163 @t181))) % 0.38/1.00 (step @p462 :rule chain_m_resolution :premises (@p461 @p448) :args (@t163 @t261 @t262)) % 0.38/1.00 (step @p463 :rule reordering :premises (@p220) :args ((or @t159 @t181))) % 0.38/1.00 (step @p464 :rule chain_m_resolution :premises (@p463 @p448) :args (@t159 @t261 @t262)) % 0.38/1.00 (step @p465 :rule chain_m_resolution :premises (@p361 @p464 @p462 @p460 @p397) :args (@t246 (@list false false false false) (@list @t159 @t163 @t166 @t240))) % 0.38/1.00 (step @p466 false :rule chain_m_resolution :premises (@p354 @p465 @p458) :args (false (@list true false) (@list @t245 @t215))) % 0.38/1.00 ) % 0.38/1.00 % SZS output end Proof % 0.38/1.01 % cvc5 exiting %------------------------------------------------------------------------------