%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC416-1 : 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 : n003.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 0.37s 0.67s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC416-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 19:46:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.67 % SZS status Unsatisfiable % 0.37/0.67 % SZS output start Proof % 0.37/0.68 ( % 0.37/0.68 (declare-sort $$unsorted 0) % 0.37/0.68 (declare-const tptp.sk4 $$unsorted) % 0.37/0.68 (declare-const tptp.sk2 $$unsorted) % 0.37/0.68 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.sk5 $$unsorted) % 0.37/0.68 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.nil $$unsorted) % 0.37/0.68 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.sk1 $$unsorted) % 0.37/0.68 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.skac2 $$unsorted) % 0.37/0.68 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.sk3 $$unsorted) % 0.37/0.68 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skac3 $$unsorted) % 0.37/0.68 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.68 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.68 (define @t1 () (tptp.ssList tptp.nil)) % 0.37/0.68 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.68 (define @t3 () (tptp.skaf83 @t2)) % 0.37/0.68 (define @t4 () (@list @t2)) % 0.37/0.68 (define @t5 () (tptp.skaf82 @t2)) % 0.37/0.68 (define @t6 () (tptp.skaf81 @t2)) % 0.37/0.68 (define @t7 () (tptp.skaf80 @t2)) % 0.37/0.68 (define @t8 () (tptp.skaf79 @t2)) % 0.37/0.68 (define @t9 () (tptp.skaf78 @t2)) % 0.37/0.68 (define @t10 () (tptp.skaf77 @t2)) % 0.37/0.68 (define @t11 () (tptp.skaf76 @t2)) % 0.37/0.68 (define @t12 () (tptp.skaf75 @t2)) % 0.37/0.68 (define @t13 () (tptp.skaf74 @t2)) % 0.37/0.68 (define @t14 () (tptp.skaf73 @t2)) % 0.37/0.68 (define @t15 () (tptp.skaf72 @t2)) % 0.37/0.68 (define @t16 () (tptp.skaf71 @t2)) % 0.37/0.68 (define @t17 () (tptp.skaf70 @t2)) % 0.37/0.68 (define @t18 () (tptp.skaf69 @t2)) % 0.37/0.68 (define @t19 () (tptp.skaf68 @t2)) % 0.37/0.68 (define @t20 () (tptp.skaf67 @t2)) % 0.37/0.68 (define @t21 () (tptp.skaf66 @t2)) % 0.37/0.68 (define @t22 () (tptp.skaf65 @t2)) % 0.37/0.68 (define @t23 () (tptp.skaf64 @t2)) % 0.37/0.68 (define @t24 () (tptp.skaf63 @t2)) % 0.37/0.68 (define @t25 () (tptp.skaf62 @t2)) % 0.37/0.68 (define @t26 () (tptp.skaf61 @t2)) % 0.37/0.68 (define @t27 () (tptp.skaf60 @t2)) % 0.37/0.68 (define @t28 () (tptp.skaf59 @t2)) % 0.37/0.68 (define @t29 () (tptp.skaf58 @t2)) % 0.37/0.68 (define @t30 () (tptp.skaf57 @t2)) % 0.37/0.68 (define @t31 () (tptp.skaf56 @t2)) % 0.37/0.68 (define @t32 () (tptp.skaf55 @t2)) % 0.37/0.68 (define @t33 () (tptp.skaf54 @t2)) % 0.37/0.68 (define @t34 () (tptp.skaf53 @t2)) % 0.37/0.68 (define @t35 () (tptp.skaf52 @t2)) % 0.37/0.68 (define @t36 () (tptp.skaf51 @t2)) % 0.37/0.68 (define @t37 () (tptp.skaf50 @t2)) % 0.37/0.68 (define @t38 () (tptp.skaf49 @t2)) % 0.37/0.68 (define @t39 () (tptp.skaf44 @t2)) % 0.37/0.68 (define @t40 () (@var "V" $$unsorted)) % 0.37/0.68 (define @t41 () (@list @t2 @t40)) % 0.37/0.68 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.37/0.68 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.37/0.68 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.37/0.68 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.37/0.68 (define @t46 () (not (tptp.ssItem @t2))) % 0.37/0.68 (define @t47 () (not (tptp.ssList @t2))) % 0.37/0.68 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.37/0.68 (define @t49 () (tptp.ssItem @t40)) % 0.37/0.68 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.37/0.68 (define @t51 () (= tptp.nil @t2)) % 0.37/0.68 (define @t52 () (tptp.tl @t2)) % 0.37/0.68 (define @t53 () (tptp.hd @t2)) % 0.37/0.68 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 0.37/0.68 (define @t55 () (not @t51)) % 0.37/0.68 (define @t56 () (tptp.rearsegP tptp.nil @t2)) % 0.37/0.68 (define @t57 () (tptp.frontsegP tptp.nil @t2)) % 0.37/0.68 (define @t58 () (tptp.app @t40 @t2)) % 0.37/0.68 (define @t59 () (not (tptp.ssList @t40))) % 0.37/0.68 (define @t60 () (tptp.cons @t2 @t40)) % 0.37/0.68 (define @t61 () (tptp.cyclefreeP @t2)) % 0.37/0.68 (define @t62 () (tptp.equalelemsP @t2)) % 0.37/0.68 (define @t63 () (tptp.strictorderedP @t2)) % 0.37/0.68 (define @t64 () (tptp.totalorderedP @t2)) % 0.37/0.68 (define @t65 () (tptp.strictorderP @t2)) % 0.37/0.68 (define @t66 () (tptp.totalorderP @t2)) % 0.37/0.68 (define @t67 () (tptp.hd @t60)) % 0.37/0.68 (define @t68 () (or @t46 @t59 (= @t67 @t2))) % 0.37/0.68 (define @t69 () (forall @t41 @t68)) % 0.37/0.68 (define @t70 () (not (= @t60 tptp.nil))) % 0.37/0.68 (define @t71 () (or @t70 @t46 @t59)) % 0.37/0.68 (define @t72 () (forall @t41 @t71)) % 0.37/0.68 (define @t73 () (= @t40 @t2)) % 0.37/0.68 (define @t74 () (tptp.neq @t40 @t2)) % 0.37/0.68 (define @t75 () (or @t47 @t59 @t74 @t73)) % 0.37/0.68 (define @t76 () (forall @t41 @t75)) % 0.37/0.68 (define @t77 () (not @t49)) % 0.37/0.68 (define @t78 () (tptp.leq @t2 @t40)) % 0.37/0.68 (define @t79 () (tptp.lt @t2 @t40)) % 0.37/0.68 (define @t80 () (not @t79)) % 0.37/0.68 (define @t81 () (tptp.lt @t40 @t2)) % 0.37/0.68 (define @t82 () (not (tptp.gt @t2 @t40))) % 0.37/0.68 (define @t83 () (tptp.gt @t40 @t2)) % 0.37/0.68 (define @t84 () (tptp.leq @t40 @t2)) % 0.37/0.68 (define @t85 () (not (tptp.geq @t2 @t40))) % 0.37/0.68 (define @t86 () (tptp.geq @t40 @t2)) % 0.37/0.68 (define @t87 () (not @t78)) % 0.37/0.68 (define @t88 () (= @t2 @t40)) % 0.37/0.68 (define @t89 () (not @t88)) % 0.37/0.68 (define @t90 () (tptp.cons @t40 @t2)) % 0.37/0.68 (define @t91 () (not (tptp.neq @t2 @t40))) % 0.37/0.68 (define @t92 () (tptp.app @t2 @t40)) % 0.37/0.68 (define @t93 () (= @t92 tptp.nil)) % 0.37/0.68 (define @t94 () (not @t93)) % 0.37/0.68 (define @t95 () (or @t94 @t59 @t47 @t51)) % 0.37/0.68 (define @t96 () (forall @t41 @t95)) % 0.37/0.68 (define @t97 () (= tptp.nil @t40)) % 0.37/0.68 (define @t98 () (tptp.hd @t40)) % 0.37/0.68 (define @t99 () (forall @t41 (or @t47 @t59 @t97 (= (tptp.hd @t58) @t98)))) % 0.37/0.68 (define @t100 () (tptp.strictorderedP @t40)) % 0.37/0.68 (define @t101 () (tptp.strictorderedP @t60)) % 0.37/0.68 (define @t102 () (not @t101)) % 0.37/0.68 (define @t103 () (tptp.totalorderedP @t40)) % 0.37/0.68 (define @t104 () (tptp.totalorderedP @t60)) % 0.37/0.68 (define @t105 () (not @t104)) % 0.37/0.68 (define @t106 () (not (tptp.segmentP @t2 @t40))) % 0.37/0.68 (define @t107 () (not (tptp.rearsegP @t2 @t40))) % 0.37/0.68 (define @t108 () (not (tptp.frontsegP @t2 @t40))) % 0.37/0.68 (define @t109 () (not @t84)) % 0.37/0.68 (define @t110 () (tptp.tl @t40)) % 0.37/0.68 (define @t111 () (tptp.lt @t2 @t98)) % 0.37/0.68 (define @t112 () (tptp.leq @t2 @t98)) % 0.37/0.68 (define @t113 () (@var "W" $$unsorted)) % 0.37/0.68 (define @t114 () (tptp.app @t113 @t2)) % 0.37/0.68 (define @t115 () (not (tptp.ssList @t113))) % 0.37/0.68 (define @t116 () (@list @t2 @t40 @t113)) % 0.37/0.68 (define @t117 () (tptp.app @t2 @t113)) % 0.37/0.68 (define @t118 () (tptp.cons @t40 @t113)) % 0.37/0.68 (define @t119 () (tptp.cons @t113 @t2)) % 0.37/0.68 (define @t120 () (not (tptp.ssItem @t113))) % 0.37/0.68 (define @t121 () (not (tptp.memberP @t2 @t40))) % 0.37/0.68 (define @t122 () (not (= @t92 @t113))) % 0.37/0.68 (define @t123 () (tptp.lt @t2 @t113)) % 0.37/0.68 (define @t124 () (not (tptp.lt @t40 @t113))) % 0.37/0.68 (define @t125 () (tptp.app @t113 @t40)) % 0.37/0.68 (define @t126 () (= @t40 @t113)) % 0.37/0.68 (define @t127 () (= @t2 @t113)) % 0.37/0.68 (define @t128 () (tptp.memberP @t40 @t113)) % 0.37/0.68 (define @t129 () (@var "X" $$unsorted)) % 0.37/0.68 (define @t130 () (not (tptp.ssList @t129))) % 0.37/0.68 (define @t131 () (tptp.cons @t113 @t129)) % 0.37/0.68 (define @t132 () (not (= @t60 @t131))) % 0.37/0.68 (define @t133 () (@list @t2 @t40 @t113 @t129)) % 0.37/0.68 (define @t134 () (not (tptp.frontsegP @t60 @t131))) % 0.37/0.68 (define @t135 () (tptp.app @t2 @t118)) % 0.37/0.68 (define @t136 () (not (tptp.ssItem @t129))) % 0.37/0.68 (define @t137 () (@var "Y" $$unsorted)) % 0.37/0.68 (define @t138 () (not (tptp.ssList @t137))) % 0.37/0.68 (define @t139 () (@list @t2 @t40 @t113 @t129 @t137)) % 0.37/0.68 (define @t140 () (tptp.lt @t40 @t129)) % 0.37/0.68 (define @t141 () (@var "Z" $$unsorted)) % 0.37/0.68 (define @t142 () (not (tptp.ssList @t141))) % 0.37/0.68 (define @t143 () (not (= (tptp.app @t135 (tptp.cons @t129 @t137)) @t141))) % 0.37/0.68 (define @t144 () (@list @t2 @t40 @t113 @t129 @t137 @t141)) % 0.37/0.68 (define @t145 () (tptp.leq @t40 @t129)) % 0.37/0.68 (define @t146 () (tptp.ssList tptp.sk2)) % 0.37/0.68 (define @t147 () (tptp.ssList tptp.sk3)) % 0.37/0.68 (define @t148 () (tptp.neq tptp.sk2 tptp.nil)) % 0.37/0.68 (define @t149 () (or @t148 @t148)) % 0.37/0.68 (define @t150 () (tptp.neq tptp.sk4 tptp.nil)) % 0.37/0.68 (define @t151 () (not @t150)) % 0.37/0.68 (define @t152 () (tptp.neq tptp.nil tptp.sk2)) % 0.37/0.68 (define @t153 () (not @t152)) % 0.37/0.68 (define @t154 () (@var "C" $$unsorted)) % 0.37/0.68 (define @t155 () (tptp.hd tptp.sk2)) % 0.37/0.68 (define @t156 () (not (= @t155 @t154))) % 0.37/0.68 (define @t157 () (@var "B" $$unsorted)) % 0.37/0.68 (define @t158 () (tptp.cons @t154 tptp.nil)) % 0.37/0.68 (define @t159 () (not (= @t158 @t157))) % 0.37/0.68 (define @t160 () (not (tptp.ssItem @t154))) % 0.37/0.68 (define @t161 () (@var "A" $$unsorted)) % 0.37/0.68 (define @t162 () (tptp.app @t157 tptp.sk1)) % 0.37/0.68 (define @t163 () (not (= @t162 @t161))) % 0.37/0.68 (define @t164 () (not (tptp.ssList @t157))) % 0.37/0.68 (define @t165 () (not (= tptp.sk2 @t161))) % 0.37/0.68 (define @t166 () (not (tptp.ssList @t161))) % 0.37/0.68 (define @t167 () (@list @t161 @t157 @t154)) % 0.37/0.68 (define @t168 () (tptp.ssItem tptp.sk5)) % 0.37/0.68 (define @t169 () (tptp.cons tptp.sk5 tptp.nil)) % 0.37/0.68 (define @t170 () (tptp.app @t169 tptp.sk3)) % 0.37/0.68 (define @t171 () (= @t170 tptp.sk4)) % 0.37/0.68 (define @t172 () (or @t166 @t165 @t164 @t163 @t160 @t159 @t156 @t153 @t151)) % 0.37/0.68 (define @t173 () (forall @t167 @t172)) % 0.37/0.68 (define @t174 () (or @t171 @t151)) % 0.37/0.68 (define @t175 () (@list false)) % 0.37/0.68 (define @t176 () (@list @t150)) % 0.37/0.68 (define @t177 () (@list tptp.sk5 tptp.nil)) % 0.37/0.68 (define @t178 () (tptp.hd @t169)) % 0.37/0.68 (define @t179 () (= tptp.sk5 @t178)) % 0.37/0.68 (define @t180 () (not @t1)) % 0.37/0.68 (define @t181 () (not @t168)) % 0.37/0.68 (define @t182 () (or @t181 @t180 @t179)) % 0.37/0.68 (define @t183 () (@list false false false)) % 0.37/0.68 (define @t184 () (tptp.hd @t170)) % 0.37/0.68 (define @t185 () (= tptp.nil @t169)) % 0.37/0.68 (define @t186 () (tptp.ssList @t169)) % 0.37/0.68 (define @t187 () (not @t186)) % 0.37/0.68 (define @t188 () (not @t147)) % 0.37/0.68 (define @t189 () (or @t188 @t187 @t185 (= @t184 @t178))) % 0.37/0.68 (define @t190 () (= @t178 @t184)) % 0.37/0.68 (define @t191 () (or @t188 @t187 @t185 @t190)) % 0.37/0.68 (define @t192 () (or @t181 @t180 @t186)) % 0.37/0.68 (define @t193 () (not @t185)) % 0.37/0.68 (define @t194 () (or @t193 @t181 @t180)) % 0.37/0.68 (define @t195 () (@list false true false false)) % 0.37/0.68 (define @t196 () (= tptp.sk4 @t170)) % 0.37/0.68 (define @t197 () (tptp.ssItem @t155)) % 0.37/0.68 (define @t198 () (tptp.cons @t155 tptp.nil)) % 0.37/0.68 (define @t199 () (tptp.ssList @t198)) % 0.37/0.68 (define @t200 () (not @t146)) % 0.37/0.68 (define @t201 () (or @t200 @t180 @t152 (= tptp.sk2 tptp.nil))) % 0.37/0.68 (define @t202 () (forall @t41 (or @t47 @t59 @t74 @t88))) % 0.37/0.68 (define @t203 () (= tptp.nil tptp.sk2)) % 0.37/0.68 (define @t204 () (or @t200 @t180 @t152 @t203)) % 0.37/0.68 (define @t205 () (not (= tptp.nil @t170))) % 0.37/0.68 (define @t206 () (or @t205 @t188 @t187 @t185)) % 0.37/0.68 (define @t207 () (not @t197)) % 0.37/0.68 (define @t208 () (= tptp.sk2 (tptp.app @t198 tptp.sk1))) % 0.37/0.68 (define @t209 () (not @t208)) % 0.37/0.68 (define @t210 () (not @t199)) % 0.37/0.68 (define @t211 () (or @t200 @t210 @t209 @t207)) % 0.37/0.68 (define @t212 () (or @t210 @t209 @t207)) % 0.37/0.68 (define @t213 () (not (= @t155 @t155))) % 0.37/0.68 (define @t214 () (or @t210 @t209 @t207 @t213)) % 0.37/0.68 (define @t215 () (not (= @t154 @t155))) % 0.37/0.68 (define @t216 () (not (= tptp.sk2 (tptp.app @t158 tptp.sk1)))) % 0.37/0.68 (define @t217 () (not (tptp.ssList @t158))) % 0.37/0.68 (define @t218 () (or @t215 @t217 @t216 @t160 @t215)) % 0.37/0.68 (define @t219 () (@list @t154)) % 0.37/0.68 (define @t220 () (or @t217 @t216 @t160 @t215)) % 0.37/0.68 (define @t221 () (not (= @t158 @t158))) % 0.37/0.68 (define @t222 () (or @t217 @t216 @t160 @t221 @t215)) % 0.37/0.68 (define @t223 () (not (= @t157 @t158))) % 0.37/0.68 (define @t224 () (not (= tptp.sk2 @t162))) % 0.37/0.68 (define @t225 () (or @t223 @t164 @t224 @t160 @t223 @t215)) % 0.37/0.68 (define @t226 () (@list @t157)) % 0.37/0.68 (define @t227 () (or @t164 @t224 @t160 @t223 @t215)) % 0.37/0.68 (define @t228 () (forall @t226 @t227)) % 0.37/0.68 (define @t229 () (forall @t219 @t228)) % 0.37/0.68 (define @t230 () (forall (@list @t154 @t157) @t227)) % 0.37/0.68 (define @t231 () (@list @t157 @t154)) % 0.37/0.68 (define @t232 () (forall @t231 @t227)) % 0.37/0.68 (define @t233 () (or @t200 @t232)) % 0.37/0.68 (define @t234 () (or @t200 @t227)) % 0.37/0.68 (define @t235 () (or @t200 @t164 @t224 @t160 @t223 @t215)) % 0.37/0.68 (define @t236 () (not (= tptp.sk2 tptp.sk2))) % 0.37/0.68 (define @t237 () (or @t200 @t236 @t164 @t224 @t160 @t223 @t215)) % 0.37/0.68 (define @t238 () (not (= @t161 @t162))) % 0.37/0.68 (define @t239 () (@list @t161)) % 0.37/0.68 (define @t240 () (or @t165 @t166 @t165 @t164 @t238 @t160 @t223 @t215)) % 0.37/0.68 (define @t241 () (or @t166 @t165 @t164 @t238 @t160 @t223 @t215)) % 0.37/0.68 (define @t242 () (forall @t239 @t241)) % 0.37/0.68 (define @t243 () (forall @t231 @t242)) % 0.37/0.68 (define @t244 () (forall (@list @t157 @t154 @t161) @t241)) % 0.37/0.68 (define @t245 () (forall @t167 @t241)) % 0.37/0.68 (define @t246 () (or @t153 @t151 @t245)) % 0.37/0.68 (define @t247 () (or @t153 @t151 @t241)) % 0.37/0.68 (define @t248 () (or @t166 @t165 @t164 @t238 @t160 @t223 @t215 @t153 @t151)) % 0.37/0.68 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.37/0.68 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.68 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.37/0.68 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.37/0.68 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.37/0.68 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.37/0.68 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.37/0.68 (assume @p8 @t1) % 0.37/0.68 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.37/0.68 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.37/0.68 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.37/0.68 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.37/0.68 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.37/0.68 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.37/0.68 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.37/0.68 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.37/0.68 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.37/0.68 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.37/0.68 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.37/0.68 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.37/0.68 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.37/0.68 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.37/0.68 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.37/0.68 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.37/0.68 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.37/0.68 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.37/0.68 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.37/0.68 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.37/0.68 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.37/0.68 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.37/0.68 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.37/0.68 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.37/0.68 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.37/0.68 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.37/0.68 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.37/0.68 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.37/0.68 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.37/0.68 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.37/0.68 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.37/0.68 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.37/0.68 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.37/0.68 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.37/0.68 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.37/0.68 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.37/0.68 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.37/0.68 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.37/0.68 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.37/0.68 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.37/0.68 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.37/0.68 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.37/0.68 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.37/0.68 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.37/0.68 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.37/0.68 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.37/0.68 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.37/0.68 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.37/0.68 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.37/0.68 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.37/0.68 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.37/0.68 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.68 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.37/0.68 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.37/0.68 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.37/0.68 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.37/0.68 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.37/0.68 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.37/0.68 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.37/0.68 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.37/0.68 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.37/0.68 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.37/0.68 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.37/0.68 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.37/0.68 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.37/0.68 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 0.37/0.68 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 0.37/0.68 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 0.37/0.68 (assume @p77 (forall @t4 (or @t55 @t47 @t54))) % 0.37/0.68 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 0.37/0.68 (assume @p79 (forall @t4 (or @t55 @t47 @t56))) % 0.37/0.68 (assume @p80 (forall @t4 (or (not @t56) @t47 @t51))) % 0.37/0.68 (assume @p81 (forall @t4 (or @t55 @t47 @t57))) % 0.37/0.68 (assume @p82 (forall @t4 (or (not @t57) @t47 @t51))) % 0.37/0.68 (assume @p83 (forall @t41 (or @t47 @t59 (tptp.ssList @t58)))) % 0.37/0.68 (assume @p84 (forall @t41 (or @t46 @t59 (tptp.ssList @t60)))) % 0.37/0.68 (assume @p85 (forall @t4 (or @t47 @t61 (tptp.leq @t37 @t38)))) % 0.37/0.68 (assume @p86 (forall @t4 (or @t47 @t61 (tptp.leq @t38 @t37)))) % 0.37/0.68 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t62))) % 0.37/0.68 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t63))) % 0.37/0.68 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t64))) % 0.37/0.68 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t65))) % 0.37/0.68 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t65))) % 0.37/0.68 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t66))) % 0.37/0.68 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t66))) % 0.37/0.68 (assume @p94 (forall @t41 (or @t46 @t59 (= (tptp.tl @t60) @t40)))) % 0.37/0.68 (assume @p95 @t69) % 0.37/0.68 (assume @p96 @t72) % 0.37/0.68 (assume @p97 (forall @t41 (or (not (= @t60 @t40)) @t46 @t59))) % 0.37/0.68 (assume @p98 @t76) % 0.37/0.68 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.37/0.68 (assume @p100 (forall @t41 (or @t46 @t77 @t74 @t73))) % 0.37/0.68 (assume @p101 (forall @t41 (or @t80 @t77 @t46 @t78))) % 0.37/0.68 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 0.37/0.68 (assume @p103 (forall @t41 (or @t82 @t77 @t46 @t81))) % 0.37/0.68 (assume @p104 (forall @t41 (or @t80 @t46 @t77 @t83))) % 0.37/0.68 (assume @p105 (forall @t41 (or @t85 @t77 @t46 @t84))) % 0.37/0.68 (assume @p106 (forall @t41 (or @t87 @t46 @t77 @t86))) % 0.37/0.68 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 0.37/0.68 (assume @p108 (forall @t41 (or @t82 (not @t83) @t46 @t77))) % 0.37/0.68 (assume @p109 (forall @t41 (or @t89 @t80 @t77 @t46))) % 0.37/0.68 (assume @p110 (forall @t41 (or @t55 @t47 @t77 (tptp.strictorderedP @t90)))) % 0.37/0.68 (assume @p111 (forall @t41 (or @t55 @t47 @t77 (tptp.totalorderedP @t90)))) % 0.37/0.68 (assume @p112 (forall @t41 (or @t80 (not @t81) @t46 @t77))) % 0.37/0.68 (assume @p113 (forall @t41 (or @t89 @t91 @t59 @t47))) % 0.37/0.68 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t59 (tptp.singletonP @t40)))) % 0.37/0.68 (assume @p115 (forall @t41 (or @t89 @t91 @t77 @t46))) % 0.37/0.68 (assume @p116 @t96) % 0.37/0.68 (assume @p117 (forall @t41 (or @t94 @t59 @t47 @t97))) % 0.37/0.68 (assume @p118 (forall @t41 (or @t46 @t59 (= (tptp.app @t48 @t40) @t60)))) % 0.37/0.68 (assume @p119 (forall @t41 (or @t87 @t77 @t46 @t79 @t88))) % 0.37/0.68 (assume @p120 @t99) % 0.37/0.68 (assume @p121 (forall @t41 (or @t102 @t59 @t46 @t100 @t97))) % 0.37/0.68 (assume @p122 (forall @t41 (or @t105 @t59 @t46 @t103 @t97))) % 0.37/0.68 (assume @p123 (forall @t41 (or @t85 (not @t86) @t46 @t77 @t73))) % 0.37/0.68 (assume @p124 (forall @t41 (or @t106 (not (tptp.segmentP @t40 @t2)) @t47 @t59 @t73))) % 0.37/0.68 (assume @p125 (forall @t41 (or @t107 (not (tptp.rearsegP @t40 @t2)) @t47 @t59 @t73))) % 0.37/0.68 (assume @p126 (forall @t41 (or @t108 (not (tptp.frontsegP @t40 @t2)) @t47 @t59 @t73))) % 0.37/0.68 (assume @p127 (forall @t41 (or @t87 @t109 @t46 @t77 @t73))) % 0.37/0.68 (assume @p128 (forall @t41 (or @t107 @t59 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.37/0.68 (assume @p129 (forall @t41 (or @t108 @t59 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.37/0.68 (assume @p130 (forall @t41 (or @t47 @t59 @t97 (= (tptp.tl @t58) (tptp.app @t110 @t2))))) % 0.37/0.68 (assume @p131 (forall @t41 (or @t102 @t59 @t46 @t111 @t97))) % 0.37/0.68 (assume @p132 (forall @t41 (or @t105 @t59 @t46 @t112 @t97))) % 0.37/0.68 (assume @p133 (forall @t116 (or @t107 @t115 @t59 @t47 (tptp.rearsegP @t114 @t40)))) % 0.37/0.68 (assume @p134 (forall @t116 (or @t108 @t115 @t59 @t47 (tptp.frontsegP @t117 @t40)))) % 0.37/0.68 (assume @p135 (forall @t116 (or @t89 @t115 @t77 @t46 (tptp.memberP @t118 @t2)))) % 0.37/0.68 (assume @p136 (forall @t116 (or @t121 @t47 @t120 @t77 (tptp.memberP @t119 @t40)))) % 0.37/0.68 (assume @p137 (forall @t116 (or @t121 @t115 @t47 @t77 (tptp.memberP @t117 @t40)))) % 0.37/0.68 (assume @p138 (forall @t116 (or @t121 @t47 @t115 @t77 (tptp.memberP @t114 @t40)))) % 0.37/0.68 (assume @p139 (forall @t4 (or @t47 @t62 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.37/0.68 (assume @p140 (forall @t116 (or @t122 @t47 @t59 @t115 (tptp.rearsegP @t113 @t40)))) % 0.37/0.68 (assume @p141 (forall @t116 (or @t122 @t59 @t47 @t115 (tptp.frontsegP @t113 @t2)))) % 0.37/0.68 (assume @p142 (forall @t41 (or @t55 (not @t97) @t59 @t47 @t93))) % 0.37/0.68 (assume @p143 (forall @t116 (or @t82 (not (tptp.gt @t40 @t113)) @t120 @t77 @t46 (tptp.gt @t2 @t113)))) % 0.37/0.68 (assume @p144 (forall @t116 (or @t87 @t124 @t120 @t77 @t46 @t123))) % 0.37/0.68 (assume @p145 (forall @t116 (or @t85 (not (tptp.geq @t40 @t113)) @t120 @t77 @t46 (tptp.geq @t2 @t113)))) % 0.37/0.68 (assume @p146 (forall @t116 (or @t47 @t59 @t115 (= (tptp.app @t125 @t2) (tptp.app @t113 @t58))))) % 0.37/0.68 (assume @p147 (forall @t116 (or (not (= @t92 @t117)) @t59 @t47 @t115 @t126))) % 0.37/0.68 (assume @p148 (forall @t116 (or (not (= @t92 @t125)) @t47 @t59 @t115 @t127))) % 0.37/0.68 (assume @p149 (forall @t116 (or @t106 (not (tptp.segmentP @t40 @t113)) @t115 @t59 @t47 (tptp.segmentP @t2 @t113)))) % 0.37/0.68 (assume @p150 (forall @t116 (or @t107 (not (tptp.rearsegP @t40 @t113)) @t115 @t59 @t47 (tptp.rearsegP @t2 @t113)))) % 0.37/0.68 (assume @p151 (forall @t116 (or @t108 (not (tptp.frontsegP @t40 @t113)) @t115 @t59 @t47 (tptp.frontsegP @t2 @t113)))) % 0.37/0.68 (assume @p152 (forall @t116 (or @t80 @t124 @t120 @t77 @t46 @t123))) % 0.37/0.68 (assume @p153 (forall @t116 (or @t87 (not (tptp.leq @t40 @t113)) @t120 @t77 @t46 (tptp.leq @t2 @t113)))) % 0.37/0.68 (assume @p154 (forall @t116 (or @t46 @t59 @t115 (= (tptp.cons @t2 (tptp.app @t40 @t113)) (tptp.app @t60 @t113))))) % 0.37/0.68 (assume @p155 (forall @t116 (or (not (tptp.memberP @t92 @t113)) @t59 @t47 @t120 @t128 (tptp.memberP @t2 @t113)))) % 0.37/0.68 (assume @p156 (forall @t41 (or (not @t112) (not @t103) @t59 @t46 @t104 @t97))) % 0.37/0.68 (assume @p157 (forall @t41 (or (not @t111) (not @t100) @t59 @t46 @t101 @t97))) % 0.37/0.68 (assume @p158 (forall @t116 (or (not (tptp.memberP @t60 @t113)) @t59 @t46 @t120 @t128 (= @t113 @t2)))) % 0.37/0.68 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.37/0.68 (assume @p160 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.37/0.68 (assume @p161 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.37/0.68 (assume @p162 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.37/0.68 (assume @p163 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.37/0.68 (assume @p164 (forall @t4 (or @t47 @t61 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.37/0.68 (assume @p165 (forall @t41 (or @t106 @t59 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.37/0.68 (assume @p166 (forall @t41 (or @t121 @t77 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.37/0.68 (assume @p167 (forall @t133 (or @t132 @t120 @t46 @t130 @t59 @t127))) % 0.37/0.68 (assume @p168 (forall @t133 (or @t132 @t120 @t46 @t130 @t59 (= @t129 @t40)))) % 0.37/0.68 (assume @p169 (forall @t133 (or @t106 @t115 @t130 @t59 @t47 (tptp.segmentP (tptp.app (tptp.app @t129 @t2) @t113) @t40)))) % 0.37/0.68 (assume @p170 (forall @t133 (or (not (= (tptp.app @t92 @t113) @t129)) @t115 @t47 @t59 @t130 (tptp.segmentP @t129 @t40)))) % 0.37/0.68 (assume @p171 (forall @t133 (or @t134 @t130 @t59 @t120 @t46 (tptp.frontsegP @t40 @t129)))) % 0.37/0.68 (assume @p172 (forall @t133 (or (not (= @t135 @t129)) @t115 @t47 @t77 @t130 (tptp.memberP @t129 @t40)))) % 0.37/0.68 (assume @p173 (forall @t133 (or @t134 @t130 @t59 @t120 @t46 @t127))) % 0.37/0.68 (assume @p174 (forall @t41 (or (not (= @t52 @t110)) (not (= @t53 @t98)) @t47 @t59 @t97 @t88 @t51))) % 0.37/0.68 (assume @p175 (forall @t133 (or @t108 (not (= @t113 @t129)) @t59 @t47 @t136 @t120 (tptp.frontsegP @t119 (tptp.cons @t129 @t40))))) % 0.37/0.68 (assume @p176 (forall @t139 (or (not (= (tptp.app @t135 (tptp.cons @t40 @t129)) @t137)) @t130 @t115 @t47 @t77 (not (tptp.duplicatefreeP @t137)) @t138))) % 0.37/0.68 (assume @p177 (forall @t139 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t131)) @t137)) @t130 @t47 @t120 @t77 (not (tptp.equalelemsP @t137)) @t138 @t126))) % 0.37/0.68 (assume @p178 (forall @t144 (or @t143 @t138 @t115 @t47 @t136 @t77 (not (tptp.strictorderedP @t141)) @t142 @t140))) % 0.37/0.68 (assume @p179 (forall @t144 (or @t143 @t138 @t115 @t47 @t136 @t77 (not (tptp.totalorderedP @t141)) @t142 @t145))) % 0.37/0.68 (assume @p180 (forall @t144 (or @t143 @t138 @t115 @t47 @t136 @t77 (not (tptp.strictorderP @t141)) @t142 @t140 (tptp.lt @t129 @t40)))) % 0.37/0.68 (assume @p181 (forall @t144 (or @t143 @t138 @t115 @t47 @t136 @t77 (not (tptp.totalorderP @t141)) @t142 @t145 (tptp.leq @t129 @t40)))) % 0.37/0.68 (assume @p182 (forall @t144 (or @t87 @t109 (not (= (tptp.app (tptp.app @t113 (tptp.cons @t2 @t129)) (tptp.cons @t40 @t137)) @t141)) @t138 @t130 @t115 @t77 @t46 (not (tptp.cyclefreeP @t141)) @t142))) % 0.37/0.68 (assume @p183 (tptp.ssList tptp.sk1)) % 0.37/0.68 (assume @p184 @t146) % 0.37/0.68 (assume @p185 @t147) % 0.37/0.68 (assume @p186 (tptp.ssList tptp.sk4)) % 0.37/0.68 (assume @p187 (= tptp.sk2 tptp.sk4)) % 0.37/0.68 (assume @p188 (= tptp.sk1 tptp.sk3)) % 0.37/0.68 (assume @p189 @t149) % 0.37/0.68 (assume @p190 (or @t148 @t151)) % 0.37/0.68 (assume @p191 (forall @t167 (or @t166 @t165 @t164 @t163 @t160 @t159 @t156 @t153 @t148))) % 0.37/0.68 (assume @p192 (or @t168 @t148)) % 0.37/0.68 (assume @p193 (or @t171 @t148)) % 0.37/0.68 (assume @p194 @t173) % 0.37/0.68 (assume @p195 (or @t168 @t151)) % 0.37/0.68 (assume @p196 @t174) % 0.37/0.68 (step @p197 :rule aci_norm :args ((= @t149 @t148))) % 0.37/0.68 (step @p198 :rule eq_resolve :premises (@p189 @p197)) % 0.37/0.68 (step @p199 :rule true_intro :premises (@p198)) % 0.37/0.68 (step @p200 :rule refl :args (tptp.nil)) % 0.37/0.68 (step @p201 :rule symm :premises (@p187)) % 0.37/0.68 (step @p202 :rule cong :premises (@p201 @p200) :args (@t150)) % 0.37/0.68 (step @p203 :rule trans :premises (@p202 @p199)) % 0.37/0.68 (step @p204 :rule true_elim :premises (@p203)) % 0.37/0.68 (step @p205 :rule reordering :premises (@p195) :args ((or @t151 @t168))) % 0.37/0.68 (step @p206 :rule chain_m_resolution :premises (@p205 @p204) :args (@t168 @t175 @t176)) % 0.37/0.68 (step @p207 :rule true_intro :premises (@p206)) % 0.37/0.68 (step @p208 :rule eq-symm :args (@t67 @t2)) % 0.37/0.68 (step @p209 :rule refl :args (@t59)) % 0.37/0.68 (step @p210 :rule refl :args (@t46)) % 0.37/0.68 (step @p211 :rule nary_cong :premises (@p210 @p209 @p208) :args (@t68)) % 0.37/0.68 (step @p212 :rule cong :premises (@p211) :args (@t69)) % 0.37/0.68 (step @p213 :rule eq_resolve :premises (@p95 @p212)) % 0.37/0.68 (step @p214 :rule instantiate :premises (@p213) :args (@t177)) % 0.37/0.68 (step @p215 :rule cnf_or_pos :args (@t182)) % 0.37/0.68 (step @p216 :rule reordering :premises (@p215) :args ((or @t180 @t181 @t179 (not @t182)))) % 0.37/0.68 (step @p217 :rule chain_m_resolution :premises (@p216 @p8 @p206 @p214) :args (@t179 @t183 (@list @t1 @t168 @t182))) % 0.37/0.68 (step @p218 :rule symm :premises (@p217)) % 0.37/0.68 (step @p219 :rule eq-symm :args (@t184 @t178)) % 0.37/0.68 (step @p220 :rule refl :args (@t185)) % 0.37/0.68 (step @p221 :rule refl :args (@t187)) % 0.37/0.68 (step @p222 :rule refl :args (@t188)) % 0.37/0.68 (step @p223 :rule nary_cong :premises (@p222 @p221 @p220 @p219) :args (@t189)) % 0.37/0.68 (step @p224 :rule refl :args (@t99)) % 0.37/0.68 (step @p225 :rule cong :premises (@p224 @p223) :args ((=> @t99 @t189))) % 0.37/0.68 (assume-push @p412 @t99) % 0.37/0.68 (step @p227 :rule instantiate :premises (@p120) :args ((@list tptp.sk3 @t169))) % 0.37/0.68 (step-pop @p413 :rule scope :premises (@p227)) % 0.37/0.68 (step @p228 :rule process_scope :premises (@p413) :args (@t189)) % 0.37/0.68 (step @p230 :rule eq_resolve :premises (@p228 @p225)) % 0.37/0.68 (step @p231 :rule implies_elim :premises (@p230)) % 0.37/0.68 (step @p232 :rule chain_m_resolution :premises (@p231 @p120) :args (@t191 @t175 (@list @t99))) % 0.37/0.68 (step @p233 :rule instantiate :premises (@p84) :args (@t177)) % 0.37/0.68 (step @p234 :rule cnf_or_pos :args (@t192)) % 0.37/0.68 (step @p235 :rule reordering :premises (@p234) :args ((or @t180 @t181 @t186 (not @t192)))) % 0.37/0.68 (step @p236 :rule chain_m_resolution :premises (@p235 @p8 @p206 @p233) :args (@t186 @t183 (@list @t1 @t168 @t192))) % 0.37/0.68 (step @p237 :rule eq-symm :args (@t60 tptp.nil)) % 0.37/0.68 (step @p238 :rule cong :premises (@p237) :args (@t70)) % 0.37/0.68 (step @p239 :rule nary_cong :premises (@p238 @p210 @p209) :args (@t71)) % 0.37/0.68 (step @p240 :rule cong :premises (@p239) :args (@t72)) % 0.37/0.68 (step @p241 :rule eq_resolve :premises (@p96 @p240)) % 0.37/0.68 (step @p242 :rule instantiate :premises (@p241) :args (@t177)) % 0.37/0.68 (step @p243 :rule cnf_or_pos :args (@t194)) % 0.37/0.68 (step @p244 :rule reordering :premises (@p243) :args ((or @t180 @t181 @t193 (not @t194)))) % 0.37/0.68 (step @p245 :rule chain_m_resolution :premises (@p244 @p8 @p206 @p242) :args (@t193 @t183 (@list @t1 @t168 @t194))) % 0.37/0.68 (step @p246 :rule cnf_or_pos :args (@t191)) % 0.37/0.68 (step @p247 :rule reordering :premises (@p246) :args ((or @t188 @t185 @t187 @t190 (not @t191)))) % 0.37/0.68 (step @p248 :rule chain_m_resolution :premises (@p247 @p185 @p245 @p236 @p232) :args (@t190 @t195 (@list @t147 @t185 @t186 @t191))) % 0.37/0.68 (step @p249 :rule symm :premises (@p248)) % 0.37/0.68 (step @p250 :rule refl :args (@t151)) % 0.37/0.68 (step @p251 :rule eq-symm :args (@t170 tptp.sk4)) % 0.37/0.68 (step @p252 :rule nary_cong :premises (@p251 @p250) :args (@t174)) % 0.37/0.68 (step @p253 :rule eq_resolve :premises (@p196 @p252)) % 0.37/0.68 (step @p254 :rule reordering :premises (@p253) :args ((or @t151 @t196))) % 0.37/0.68 (step @p255 :rule chain_m_resolution :premises (@p254 @p204) :args (@t196 @t175 @t176)) % 0.37/0.68 (step @p256 :rule trans :premises (@p187 @p255)) % 0.37/0.68 (step @p257 :rule cong :premises (@p256) :args (@t155)) % 0.37/0.68 (step @p258 :rule trans :premises (@p257 @p249 @p218)) % 0.37/0.68 (step @p259 :rule cong :premises (@p258) :args (@t197)) % 0.37/0.68 (step @p260 :rule trans :premises (@p259 @p207)) % 0.37/0.68 (step @p261 :rule true_elim :premises (@p260)) % 0.37/0.68 (step @p262 :rule symm :premises (@p188)) % 0.37/0.68 (step @p263 :rule symm :premises (@p255)) % 0.37/0.68 (step @p264 :rule trans :premises (@p263 @p201)) % 0.37/0.68 (step @p265 :rule cong :premises (@p264) :args (@t184)) % 0.37/0.68 (step @p266 :rule trans :premises (@p217 @p248 @p265)) % 0.37/0.68 (step @p267 :rule cong :premises (@p266 @p200) :args (@t169)) % 0.37/0.68 (step @p268 :rule cong :premises (@p267 @p262) :args (@t170)) % 0.37/0.68 (step @p269 :rule trans :premises (@p187 @p255 @p268)) % 0.37/0.68 (step @p270 :rule true_intro :premises (@p236)) % 0.37/0.68 (step @p271 :rule cong :premises (@p258 @p200) :args (@t198)) % 0.37/0.68 (step @p272 :rule cong :premises (@p271) :args (@t199)) % 0.37/0.68 (step @p273 :rule trans :premises (@p272 @p270)) % 0.37/0.68 (step @p274 :rule true_elim :premises (@p273)) % 0.37/0.68 (step @p275 :rule eq-symm :args (@t40 @t2)) % 0.37/0.68 (step @p276 :rule refl :args (@t74)) % 0.37/0.68 (step @p277 :rule refl :args (@t47)) % 0.37/0.68 (step @p278 :rule nary_cong :premises (@p277 @p209 @p276 @p275) :args (@t75)) % 0.37/0.68 (step @p279 :rule cong :premises (@p278) :args (@t76)) % 0.37/0.68 (step @p280 :rule eq_resolve :premises (@p98 @p279)) % 0.37/0.68 (step @p281 :rule eq-symm :args (tptp.sk2 tptp.nil)) % 0.37/0.68 (step @p282 :rule refl :args (@t152)) % 0.37/0.68 (step @p283 :rule refl :args (@t180)) % 0.37/0.68 (step @p284 :rule refl :args (@t200)) % 0.37/0.68 (step @p285 :rule nary_cong :premises (@p284 @p283 @p282 @p281) :args (@t201)) % 0.37/0.68 (step @p286 :rule refl :args (@t202)) % 0.37/0.68 (step @p287 :rule cong :premises (@p286 @p285) :args ((=> @t202 @t201))) % 0.37/0.68 (assume-push @p414 @t202) % 0.37/0.68 (step @p289 :rule instantiate :premises (@p280) :args ((@list tptp.sk2 tptp.nil))) % 0.37/0.68 (step-pop @p415 :rule scope :premises (@p289)) % 0.37/0.68 (step @p290 :rule process_scope :premises (@p415) :args (@t201)) % 0.37/0.68 (step @p292 :rule eq_resolve :premises (@p290 @p287)) % 0.37/0.68 (step @p293 :rule implies_elim :premises (@p292)) % 0.37/0.68 (step @p294 :rule chain_m_resolution :premises (@p293 @p280) :args (@t204 @t175 (@list @t202))) % 0.37/0.68 (step @p295 :rule refl :args (@t51)) % 0.37/0.68 (step @p296 :rule eq-symm :args (@t92 tptp.nil)) % 0.37/0.68 (step @p297 :rule cong :premises (@p296) :args (@t94)) % 0.37/0.68 (step @p298 :rule nary_cong :premises (@p297 @p209 @p277 @p295) :args (@t95)) % 0.37/0.68 (step @p299 :rule cong :premises (@p298) :args (@t96)) % 0.37/0.68 (step @p300 :rule eq_resolve :premises (@p116 @p299)) % 0.37/0.68 (step @p301 :rule instantiate :premises (@p300) :args ((@list @t169 tptp.sk3))) % 0.37/0.68 (step @p302 :rule cnf_or_pos :args (@t206)) % 0.37/0.68 (step @p303 :rule reordering :premises (@p302) :args ((or @t188 @t185 @t187 @t205 (not @t206)))) % 0.37/0.68 (step @p304 :rule chain_m_resolution :premises (@p303 @p185 @p245 @p236 @p301) :args (@t205 @t195 (@list @t147 @t185 @t186 @t206))) % 0.37/0.68 (step @p305 :rule false_intro :premises (@p304)) % 0.37/0.68 (step @p306 :rule cong :premises (@p200 @p256) :args (@t203)) % 0.37/0.68 (step @p307 :rule trans :premises (@p306 @p305)) % 0.37/0.68 (step @p308 :rule false_elim :premises (@p307)) % 0.37/0.68 (step @p309 :rule cnf_or_pos :args (@t204)) % 0.37/0.68 (step @p310 :rule reordering :premises (@p309) :args ((or @t152 @t180 @t200 @t203 (not @t204)))) % 0.37/0.68 (step @p311 :rule chain_m_resolution :premises (@p310 @p8 @p184 @p308 @p294) :args (@t152 (@list false false true false) (@list @t1 @t146 @t203 @t204))) % 0.37/0.68 (step @p312 :rule aci_norm :args ((= (or @t153 @t151 @t211) (or @t153 @t151 @t200 @t210 @t209 @t207)))) % 0.37/0.68 (step @p313 :rule aci_norm :args ((= (or @t200 @t212) @t211))) % 0.37/0.68 (step @p314 :rule aci_norm :args ((= (or @t210 @t209 @t207 false) @t212))) % 0.37/0.68 (step @p315 :rule evaluate :args ((not true))) % 0.37/0.68 (step @p316 :rule eq-refl :args (@t155)) % 0.37/0.68 (step @p317 :rule cong :premises (@p316) :args (@t213)) % 0.37/0.68 (step @p318 :rule trans :premises (@p317 @p315)) % 0.37/0.68 (step @p319 :rule refl :args (@t207)) % 0.37/0.68 (step @p320 :rule refl :args (@t209)) % 0.37/0.68 (step @p321 :rule refl :args (@t210)) % 0.37/0.68 (step @p322 :rule nary_cong :premises (@p321 @p320 @p319 @p318) :args (@t214)) % 0.37/0.68 (step @p323 :rule trans :premises (@p322 @p314)) % 0.37/0.68 (step @p324 :rule quant-var-elim-eq :args ((= (forall @t219 @t218) @t214))) % 0.37/0.68 (step @p325 :rule aci_norm :args ((= @t220 @t218))) % 0.37/0.68 (step @p326 :rule cong :premises (@p325) :args ((forall @t219 @t220))) % 0.37/0.68 (step @p327 :rule trans :premises (@p326 @p324)) % 0.37/0.68 (step @p328 :rule trans :premises (@p327 @p323)) % 0.37/0.68 (step @p329 :rule aci_norm :args ((= (or @t217 @t216 @t160 false @t215) @t220))) % 0.37/0.68 (step @p330 :rule refl :args (@t215)) % 0.37/0.68 (step @p331 :rule eq-refl :args (@t158)) % 0.37/0.68 (step @p332 :rule cong :premises (@p331) :args (@t221)) % 0.37/0.68 (step @p333 :rule trans :premises (@p332 @p315)) % 0.37/0.68 (step @p334 :rule refl :args (@t160)) % 0.37/0.68 (step @p335 :rule refl :args (@t216)) % 0.37/0.68 (step @p336 :rule refl :args (@t217)) % 0.37/0.68 (step @p337 :rule nary_cong :premises (@p336 @p335 @p334 @p333 @p330) :args (@t222)) % 0.37/0.68 (step @p338 :rule trans :premises (@p337 @p329)) % 0.37/0.68 (step @p339 :rule cong :premises (@p338) :args ((forall @t219 @t222))) % 0.37/0.68 (step @p340 :rule trans :premises (@p339 @p328)) % 0.37/0.68 (step @p341 :rule quant-var-elim-eq :args ((= (forall @t226 @t225) @t222))) % 0.37/0.68 (step @p342 :rule aci_norm :args ((= @t227 @t225))) % 0.37/0.68 (step @p343 :rule cong :premises (@p342) :args (@t228)) % 0.37/0.68 (step @p344 :rule trans :premises (@p343 @p341)) % 0.37/0.68 (step @p345 :rule cong :premises (@p344) :args (@t229)) % 0.37/0.68 (step @p346 :rule quant-merge-prenex :args ((= @t229 @t230))) % 0.37/0.68 (step @p347 :rule symm :premises (@p346)) % 0.37/0.68 (step @p348 :rule quant_var_reordering :args ((= @t232 @t230))) % 0.37/0.68 (step @p349 :rule trans :premises (@p348 @p347 @p345)) % 0.37/0.68 (step @p350 :rule trans :premises (@p349 @p340)) % 0.37/0.68 (step @p351 :rule nary_cong :premises (@p284 @p350) :args (@t233)) % 0.37/0.68 (step @p352 :rule trans :premises (@p351 @p313)) % 0.37/0.68 (step @p353 :rule quant-miniscope-or :args ((= (forall @t231 @t234) @t233))) % 0.37/0.68 (step @p354 :rule aci_norm :args ((= @t235 @t234))) % 0.37/0.68 (step @p355 :rule cong :premises (@p354) :args ((forall @t231 @t235))) % 0.37/0.68 (step @p356 :rule trans :premises (@p355 @p353)) % 0.37/0.68 (step @p357 :rule trans :premises (@p356 @p352)) % 0.37/0.68 (step @p358 :rule aci_norm :args ((= (or @t200 false @t164 @t224 @t160 @t223 @t215) @t235))) % 0.37/0.68 (step @p359 :rule refl :args (@t223)) % 0.37/0.68 (step @p360 :rule refl :args (@t224)) % 0.37/0.68 (step @p361 :rule refl :args (@t164)) % 0.37/0.68 (step @p362 :rule eq-refl :args (tptp.sk2)) % 0.37/0.68 (step @p363 :rule cong :premises (@p362) :args (@t236)) % 0.37/0.68 (step @p364 :rule trans :premises (@p363 @p315)) % 0.37/0.68 (step @p365 :rule nary_cong :premises (@p284 @p364 @p361 @p360 @p334 @p359 @p330) :args (@t237)) % 0.37/0.68 (step @p366 :rule trans :premises (@p365 @p358)) % 0.37/0.68 (step @p367 :rule cong :premises (@p366) :args ((forall @t231 @t237))) % 0.37/0.68 (step @p368 :rule trans :premises (@p367 @p357)) % 0.37/0.68 (step @p369 :rule quant-var-elim-eq :args ((= (forall @t239 (or (not (= @t161 tptp.sk2)) @t166 @t165 @t164 @t238 @t160 @t223 @t215)) @t237))) % 0.37/0.68 (step @p370 :rule refl :args (@t215)) % 0.37/0.68 (step @p371 :rule refl :args (@t223)) % 0.37/0.68 (step @p372 :rule refl :args (@t160)) % 0.37/0.68 (step @p373 :rule refl :args (@t238)) % 0.37/0.68 (step @p374 :rule refl :args (@t164)) % 0.37/0.68 (step @p375 :rule refl :args (@t165)) % 0.37/0.68 (step @p376 :rule refl :args (@t166)) % 0.37/0.68 (step @p377 :rule eq-symm :args (tptp.sk2 @t161)) % 0.37/0.68 (step @p378 :rule cong :premises (@p377) :args (@t165)) % 0.37/0.68 (step @p379 :rule nary_cong :premises (@p378 @p376 @p375 @p374 @p373 @p372 @p371 @p370) :args (@t240)) % 0.37/0.68 (step @p380 :rule aci_norm :args ((= @t241 @t240))) % 0.37/0.68 (step @p381 :rule trans :premises (@p380 @p379)) % 0.37/0.68 (step @p382 :rule cong :premises (@p381) :args (@t242)) % 0.37/0.68 (step @p383 :rule trans :premises (@p382 @p369)) % 0.37/0.68 (step @p384 :rule cong :premises (@p383) :args (@t243)) % 0.37/0.68 (step @p385 :rule quant-merge-prenex :args ((= @t243 @t244))) % 0.37/0.68 (step @p386 :rule symm :premises (@p385)) % 0.37/0.68 (step @p387 :rule quant_var_reordering :args ((= @t245 @t244))) % 0.37/0.68 (step @p388 :rule trans :premises (@p387 @p386 @p384)) % 0.37/0.68 (step @p389 :rule trans :premises (@p388 @p368)) % 0.37/0.68 (step @p390 :rule refl :args (@t153)) % 0.37/0.68 (step @p391 :rule nary_cong :premises (@p390 @p250 @p389) :args (@t246)) % 0.37/0.68 (step @p392 :rule trans :premises (@p391 @p312)) % 0.37/0.68 (step @p393 :rule quant-miniscope-or :args ((= (forall @t167 @t247) @t246))) % 0.37/0.68 (step @p394 :rule aci_norm :args ((= @t248 @t247))) % 0.37/0.68 (step @p395 :rule cong :premises (@p394) :args ((forall @t167 @t248))) % 0.37/0.68 (step @p396 :rule trans :premises (@p395 @p393)) % 0.37/0.68 (step @p397 :rule trans :premises (@p396 @p392)) % 0.37/0.68 (step @p398 :rule eq-symm :args (@t155 @t154)) % 0.37/0.68 (step @p399 :rule cong :premises (@p398) :args (@t156)) % 0.37/0.68 (step @p400 :rule eq-symm :args (@t158 @t157)) % 0.37/0.68 (step @p401 :rule cong :premises (@p400) :args (@t159)) % 0.37/0.68 (step @p402 :rule eq-symm :args (@t162 @t161)) % 0.37/0.68 (step @p403 :rule cong :premises (@p402) :args (@t163)) % 0.37/0.68 (step @p404 :rule refl :args (@t165)) % 0.37/0.68 (step @p405 :rule refl :args (@t166)) % 0.37/0.68 (step @p406 :rule nary_cong :premises (@p405 @p404 @p361 @p403 @p334 @p401 @p399 @p390 @p250) :args (@t172)) % 0.37/0.68 (step @p407 :rule cong :premises (@p406) :args (@t173)) % 0.37/0.68 (step @p408 :rule trans :premises (@p407 @p397)) % 0.37/0.68 (step @p409 :rule eq_resolve :premises (@p194 @p408)) % 0.37/0.68 (step @p410 :rule reordering :premises (@p409) :args ((or @t151 @t153 @t200 @t210 @t209 @t207))) % 0.37/0.68 (step @p411 false :rule chain_m_resolution :premises (@p410 @p311 @p274 @p204 @p269 @p261 @p184) :args (false (@list false false false false false false) (@list @t152 @t199 @t150 @t208 @t197 @t146))) % 0.37/0.68 ) % 0.37/0.68 % SZS output end Proof % 0.37/0.69 % cvc5 exiting %------------------------------------------------------------------------------