%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC092-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:01 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.99s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC092-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n015.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:15:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.99 % SZS status Unsatisfiable % 0.39/0.99 % SZS output start Proof % 0.39/1.00 ( % 0.39/1.00 (declare-sort $$unsorted 0) % 0.39/1.00 (declare-const tptp.sk5 $$unsorted) % 0.39/1.00 (declare-const tptp.sk4 $$unsorted) % 0.39/1.00 (declare-const tptp.sk2 $$unsorted) % 0.39/1.00 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.nil $$unsorted) % 0.39/1.00 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.sk1 $$unsorted) % 0.39/1.00 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.skac2 $$unsorted) % 0.39/1.00 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.sk3 $$unsorted) % 0.39/1.00 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skac3 $$unsorted) % 0.39/1.00 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/1.00 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.39/1.00 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.39/1.00 (define @t1 () (tptp.ssList tptp.nil)) % 0.39/1.00 (define @t2 () (@var "U" $$unsorted)) % 0.39/1.00 (define @t3 () (tptp.skaf83 @t2)) % 0.39/1.00 (define @t4 () (@list @t2)) % 0.39/1.00 (define @t5 () (tptp.skaf82 @t2)) % 0.39/1.00 (define @t6 () (tptp.skaf81 @t2)) % 0.39/1.00 (define @t7 () (tptp.skaf80 @t2)) % 0.39/1.00 (define @t8 () (tptp.skaf79 @t2)) % 0.39/1.00 (define @t9 () (tptp.skaf78 @t2)) % 0.39/1.00 (define @t10 () (tptp.skaf77 @t2)) % 0.39/1.00 (define @t11 () (tptp.skaf76 @t2)) % 0.39/1.00 (define @t12 () (tptp.skaf75 @t2)) % 0.39/1.00 (define @t13 () (tptp.skaf74 @t2)) % 0.39/1.00 (define @t14 () (tptp.skaf73 @t2)) % 0.39/1.00 (define @t15 () (tptp.skaf72 @t2)) % 0.39/1.00 (define @t16 () (tptp.skaf71 @t2)) % 0.39/1.00 (define @t17 () (tptp.skaf70 @t2)) % 0.39/1.00 (define @t18 () (tptp.skaf69 @t2)) % 0.39/1.00 (define @t19 () (tptp.skaf68 @t2)) % 0.39/1.00 (define @t20 () (tptp.skaf67 @t2)) % 0.39/1.00 (define @t21 () (tptp.skaf66 @t2)) % 0.39/1.00 (define @t22 () (tptp.skaf65 @t2)) % 0.39/1.00 (define @t23 () (tptp.skaf64 @t2)) % 0.39/1.00 (define @t24 () (tptp.skaf63 @t2)) % 0.39/1.00 (define @t25 () (tptp.skaf62 @t2)) % 0.39/1.00 (define @t26 () (tptp.skaf61 @t2)) % 0.39/1.00 (define @t27 () (tptp.skaf60 @t2)) % 0.39/1.00 (define @t28 () (tptp.skaf59 @t2)) % 0.39/1.00 (define @t29 () (tptp.skaf58 @t2)) % 0.39/1.00 (define @t30 () (tptp.skaf57 @t2)) % 0.39/1.00 (define @t31 () (tptp.skaf56 @t2)) % 0.39/1.00 (define @t32 () (tptp.skaf55 @t2)) % 0.39/1.00 (define @t33 () (tptp.skaf54 @t2)) % 0.39/1.00 (define @t34 () (tptp.skaf53 @t2)) % 0.39/1.00 (define @t35 () (tptp.skaf52 @t2)) % 0.39/1.00 (define @t36 () (tptp.skaf51 @t2)) % 0.39/1.00 (define @t37 () (tptp.skaf50 @t2)) % 0.39/1.00 (define @t38 () (tptp.skaf49 @t2)) % 0.39/1.00 (define @t39 () (tptp.skaf44 @t2)) % 0.39/1.00 (define @t40 () (@var "V" $$unsorted)) % 0.39/1.00 (define @t41 () (@list @t2 @t40)) % 0.39/1.00 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.39/1.00 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.39/1.00 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.39/1.00 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.39/1.00 (define @t46 () (not (tptp.ssItem @t2))) % 0.39/1.00 (define @t47 () (not (tptp.ssList @t2))) % 0.39/1.00 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.39/1.00 (define @t49 () (tptp.ssItem @t40)) % 0.39/1.00 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.39/1.00 (define @t51 () (tptp.app tptp.nil @t2)) % 0.39/1.00 (define @t52 () (or @t47 (= @t51 @t2))) % 0.39/1.00 (define @t53 () (forall @t4 @t52)) % 0.39/1.00 (define @t54 () (= tptp.nil @t2)) % 0.39/1.00 (define @t55 () (tptp.tl @t2)) % 0.39/1.00 (define @t56 () (tptp.hd @t2)) % 0.39/1.00 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 0.39/1.00 (define @t58 () (not @t54)) % 0.39/1.00 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 0.39/1.00 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 0.39/1.00 (define @t61 () (tptp.app @t40 @t2)) % 0.39/1.00 (define @t62 () (not (tptp.ssList @t40))) % 0.39/1.00 (define @t63 () (tptp.cons @t2 @t40)) % 0.39/1.00 (define @t64 () (tptp.cyclefreeP @t2)) % 0.39/1.00 (define @t65 () (tptp.equalelemsP @t2)) % 0.39/1.00 (define @t66 () (tptp.strictorderedP @t2)) % 0.39/1.00 (define @t67 () (tptp.totalorderedP @t2)) % 0.39/1.00 (define @t68 () (tptp.strictorderP @t2)) % 0.39/1.00 (define @t69 () (tptp.totalorderP @t2)) % 0.39/1.00 (define @t70 () (= @t40 @t2)) % 0.39/1.00 (define @t71 () (tptp.neq @t40 @t2)) % 0.39/1.00 (define @t72 () (or @t47 @t62 @t71 @t70)) % 0.39/1.00 (define @t73 () (forall @t41 @t72)) % 0.39/1.00 (define @t74 () (not @t49)) % 0.39/1.00 (define @t75 () (tptp.leq @t2 @t40)) % 0.39/1.00 (define @t76 () (tptp.lt @t2 @t40)) % 0.39/1.00 (define @t77 () (not @t76)) % 0.39/1.00 (define @t78 () (tptp.lt @t40 @t2)) % 0.39/1.00 (define @t79 () (not (tptp.gt @t2 @t40))) % 0.39/1.00 (define @t80 () (tptp.gt @t40 @t2)) % 0.39/1.00 (define @t81 () (tptp.leq @t40 @t2)) % 0.39/1.00 (define @t82 () (not (tptp.geq @t2 @t40))) % 0.39/1.00 (define @t83 () (tptp.geq @t40 @t2)) % 0.39/1.00 (define @t84 () (not @t75)) % 0.39/1.00 (define @t85 () (= @t2 @t40)) % 0.39/1.00 (define @t86 () (not @t85)) % 0.39/1.00 (define @t87 () (tptp.cons @t40 @t2)) % 0.39/1.00 (define @t88 () (not (tptp.neq @t2 @t40))) % 0.39/1.00 (define @t89 () (or @t86 @t88 @t62 @t47)) % 0.39/1.00 (define @t90 () (forall @t41 @t89)) % 0.39/1.00 (define @t91 () (tptp.app @t2 @t40)) % 0.39/1.00 (define @t92 () (= @t91 tptp.nil)) % 0.39/1.00 (define @t93 () (not @t92)) % 0.39/1.00 (define @t94 () (= tptp.nil @t40)) % 0.39/1.00 (define @t95 () (tptp.hd @t40)) % 0.39/1.00 (define @t96 () (tptp.strictorderedP @t40)) % 0.39/1.00 (define @t97 () (tptp.strictorderedP @t63)) % 0.39/1.00 (define @t98 () (not @t97)) % 0.39/1.00 (define @t99 () (tptp.totalorderedP @t40)) % 0.39/1.00 (define @t100 () (tptp.totalorderedP @t63)) % 0.39/1.00 (define @t101 () (not @t100)) % 0.39/1.00 (define @t102 () (not (tptp.segmentP @t2 @t40))) % 0.39/1.00 (define @t103 () (not (tptp.rearsegP @t2 @t40))) % 0.39/1.00 (define @t104 () (not (tptp.frontsegP @t2 @t40))) % 0.39/1.00 (define @t105 () (not @t81)) % 0.39/1.00 (define @t106 () (tptp.tl @t40)) % 0.39/1.00 (define @t107 () (tptp.lt @t2 @t95)) % 0.39/1.00 (define @t108 () (tptp.leq @t2 @t95)) % 0.39/1.00 (define @t109 () (@var "W" $$unsorted)) % 0.39/1.00 (define @t110 () (tptp.app @t109 @t2)) % 0.39/1.00 (define @t111 () (not (tptp.ssList @t109))) % 0.39/1.00 (define @t112 () (@list @t2 @t40 @t109)) % 0.39/1.00 (define @t113 () (tptp.app @t2 @t109)) % 0.39/1.00 (define @t114 () (tptp.cons @t40 @t109)) % 0.39/1.00 (define @t115 () (tptp.cons @t109 @t2)) % 0.39/1.00 (define @t116 () (not (tptp.ssItem @t109))) % 0.39/1.00 (define @t117 () (not (tptp.memberP @t2 @t40))) % 0.39/1.00 (define @t118 () (not (= @t91 @t109))) % 0.39/1.00 (define @t119 () (tptp.lt @t2 @t109)) % 0.39/1.00 (define @t120 () (not (tptp.lt @t40 @t109))) % 0.39/1.00 (define @t121 () (tptp.app @t109 @t40)) % 0.39/1.00 (define @t122 () (= @t40 @t109)) % 0.39/1.00 (define @t123 () (= @t2 @t109)) % 0.39/1.00 (define @t124 () (tptp.memberP @t40 @t109)) % 0.39/1.00 (define @t125 () (@var "X" $$unsorted)) % 0.39/1.00 (define @t126 () (not (tptp.ssList @t125))) % 0.39/1.00 (define @t127 () (tptp.cons @t109 @t125)) % 0.39/1.00 (define @t128 () (not (= @t63 @t127))) % 0.39/1.00 (define @t129 () (@list @t2 @t40 @t109 @t125)) % 0.39/1.00 (define @t130 () (tptp.segmentP @t125 @t40)) % 0.39/1.00 (define @t131 () (tptp.app @t91 @t109)) % 0.39/1.00 (define @t132 () (not (= @t131 @t125))) % 0.39/1.00 (define @t133 () (or @t132 @t111 @t47 @t62 @t126 @t130)) % 0.39/1.00 (define @t134 () (forall @t129 @t133)) % 0.39/1.00 (define @t135 () (not (tptp.frontsegP @t63 @t127))) % 0.39/1.00 (define @t136 () (tptp.app @t2 @t114)) % 0.39/1.00 (define @t137 () (not (tptp.ssItem @t125))) % 0.39/1.00 (define @t138 () (@var "Y" $$unsorted)) % 0.39/1.00 (define @t139 () (not (tptp.ssList @t138))) % 0.39/1.00 (define @t140 () (@list @t2 @t40 @t109 @t125 @t138)) % 0.39/1.00 (define @t141 () (tptp.lt @t40 @t125)) % 0.39/1.00 (define @t142 () (@var "Z" $$unsorted)) % 0.39/1.00 (define @t143 () (not (tptp.ssList @t142))) % 0.39/1.00 (define @t144 () (not (= (tptp.app @t136 (tptp.cons @t125 @t138)) @t142))) % 0.39/1.00 (define @t145 () (@list @t2 @t40 @t109 @t125 @t138 @t142)) % 0.39/1.00 (define @t146 () (tptp.leq @t40 @t125)) % 0.39/1.00 (define @t147 () (tptp.ssList tptp.sk1)) % 0.39/1.00 (define @t148 () (tptp.ssList tptp.sk2)) % 0.39/1.00 (define @t149 () (= tptp.sk2 tptp.sk4)) % 0.39/1.00 (define @t150 () (= tptp.sk1 tptp.sk3)) % 0.39/1.00 (define @t151 () (tptp.neq tptp.sk2 tptp.nil)) % 0.39/1.00 (define @t152 () (@var "A" $$unsorted)) % 0.39/1.00 (define @t153 () (tptp.ssList tptp.sk5)) % 0.39/1.00 (define @t154 () (tptp.app tptp.sk3 tptp.sk5)) % 0.39/1.00 (define @t155 () (@var "C" $$unsorted)) % 0.39/1.00 (define @t156 () (@var "D" $$unsorted)) % 0.39/1.00 (define @t157 () (@var "B" $$unsorted)) % 0.39/1.00 (define @t158 () (= tptp.nil tptp.sk3)) % 0.39/1.00 (define @t159 () (not @t158)) % 0.39/1.00 (define @t160 () (= tptp.nil tptp.sk4)) % 0.39/1.00 (define @t161 () (tptp.segmentP @t131 @t40)) % 0.39/1.00 (define @t162 () (not (tptp.ssList @t131))) % 0.39/1.00 (define @t163 () (not (= @t131 @t131))) % 0.39/1.00 (define @t164 () (or @t163 @t111 @t47 @t62 @t162 @t161)) % 0.39/1.00 (define @t165 () (not (= @t125 @t131))) % 0.39/1.00 (define @t166 () (or @t165 @t165 @t111 @t47 @t62 @t126 @t130)) % 0.39/1.00 (define @t167 () (@list @t125)) % 0.39/1.00 (define @t168 () (or @t165 @t111 @t47 @t62 @t126 @t130)) % 0.39/1.00 (define @t169 () (forall @t167 @t168)) % 0.39/1.00 (define @t170 () (forall @t112 @t169)) % 0.39/1.00 (define @t171 () (@list tptp.sk1)) % 0.39/1.00 (define @t172 () (tptp.app tptp.nil tptp.sk1)) % 0.39/1.00 (define @t173 () (= tptp.sk1 @t172)) % 0.39/1.00 (define @t174 () (not @t147)) % 0.39/1.00 (define @t175 () (or @t174 @t173)) % 0.39/1.00 (define @t176 () (@list false false)) % 0.39/1.00 (define @t177 () (tptp.app @t172 tptp.sk5)) % 0.39/1.00 (define @t178 () (tptp.ssList @t177)) % 0.39/1.00 (define @t179 () (tptp.segmentP tptp.sk1 tptp.sk1)) % 0.39/1.00 (define @t180 () (or @t174 @t179)) % 0.39/1.00 (define @t181 () (not (tptp.neq @t40 @t40))) % 0.39/1.00 (define @t182 () (not (= @t40 @t40))) % 0.39/1.00 (define @t183 () (or @t182 @t181 @t62 @t62)) % 0.39/1.00 (define @t184 () (@list @t40)) % 0.39/1.00 (define @t185 () (or @t86 @t86 @t88 @t62 @t47)) % 0.39/1.00 (define @t186 () (forall @t4 @t89)) % 0.39/1.00 (define @t187 () (forall @t184 @t186)) % 0.39/1.00 (define @t188 () (forall (@list @t40 @t2) @t89)) % 0.39/1.00 (define @t189 () (not @t148)) % 0.39/1.00 (define @t190 () (tptp.neq tptp.sk2 tptp.sk2)) % 0.39/1.00 (define @t191 () (not @t190)) % 0.39/1.00 (define @t192 () (or @t191 @t189)) % 0.39/1.00 (define @t193 () (= tptp.nil tptp.sk2)) % 0.39/1.00 (define @t194 () (not @t193)) % 0.39/1.00 (define @t195 () (not @t151)) % 0.39/1.00 (define @t196 () (@list false true)) % 0.39/1.00 (define @t197 () (not @t160)) % 0.39/1.00 (define @t198 () (not @t149)) % 0.39/1.00 (define @t199 () (and @t149 @t194)) % 0.39/1.00 (define @t200 () (= tptp.nil tptp.sk1)) % 0.39/1.00 (define @t201 () (not @t200)) % 0.39/1.00 (define @t202 () (not @t150)) % 0.39/1.00 (define @t203 () (and @t150 @t159)) % 0.39/1.00 (define @t204 () (tptp.neq tptp.sk1 tptp.nil)) % 0.39/1.00 (define @t205 () (not @t1)) % 0.39/1.00 (define @t206 () (or @t205 @t174 @t204 @t200)) % 0.39/1.00 (define @t207 () (not @t179)) % 0.39/1.00 (define @t208 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 0.39/1.00 (define @t209 () (not @t208)) % 0.39/1.00 (define @t210 () (not @t204)) % 0.39/1.00 (define @t211 () (or @t174 @t210 @t209 @t207)) % 0.39/1.00 (define @t212 () (tptp.segmentP @t177 tptp.sk1)) % 0.39/1.00 (define @t213 () (not @t212)) % 0.39/1.00 (define @t214 () (not @t173)) % 0.39/1.00 (define @t215 () (= tptp.sk4 @t154)) % 0.39/1.00 (define @t216 () (not @t215)) % 0.39/1.00 (define @t217 () (and @t149 @t150 @t215 @t173 @t209)) % 0.39/1.00 (define @t218 () (not @t178)) % 0.39/1.00 (define @t219 () (not @t153)) % 0.39/1.00 (define @t220 () (or @t219 @t205 @t174 @t218 @t212)) % 0.39/1.00 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.39/1.00 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.39/1.00 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.39/1.00 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.39/1.00 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.39/1.00 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.39/1.00 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.39/1.00 (assume @p8 @t1) % 0.39/1.00 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.39/1.00 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.39/1.00 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.39/1.00 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.39/1.00 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.39/1.00 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.39/1.00 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.39/1.00 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.39/1.00 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.39/1.00 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.39/1.00 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.39/1.00 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.39/1.00 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.39/1.00 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.39/1.00 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.39/1.00 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.39/1.00 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.39/1.00 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.39/1.00 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.39/1.00 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.39/1.00 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.39/1.00 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.39/1.00 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.39/1.00 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.39/1.00 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.39/1.00 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.39/1.00 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.39/1.00 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.39/1.00 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.39/1.00 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.39/1.00 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.39/1.00 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.39/1.00 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.39/1.00 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.39/1.00 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.39/1.00 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.39/1.00 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.39/1.00 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.39/1.00 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.39/1.00 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.39/1.00 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.39/1.00 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.39/1.00 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.39/1.00 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.39/1.00 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.39/1.00 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.39/1.00 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.39/1.00 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.39/1.00 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.39/1.00 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.39/1.00 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.39/1.00 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.39/1.00 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.39/1.00 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.39/1.00 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.39/1.00 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.39/1.00 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.39/1.00 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.39/1.00 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.39/1.00 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.39/1.00 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.39/1.00 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.39/1.00 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.39/1.00 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.39/1.00 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.39/1.00 (assume @p74 @t53) % 0.39/1.00 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 0.39/1.00 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 0.39/1.00 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 0.39/1.00 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 0.39/1.00 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 0.39/1.00 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 0.39/1.00 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 0.39/1.00 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 0.39/1.00 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 0.39/1.00 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 0.39/1.00 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 0.39/1.00 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 0.39/1.00 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 0.39/1.00 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 0.39/1.00 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 0.39/1.00 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 0.39/1.00 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 0.39/1.00 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 0.39/1.00 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 0.39/1.00 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 0.39/1.00 (assume @p95 (forall @t41 (or @t46 @t62 (= (tptp.hd @t63) @t2)))) % 0.39/1.00 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 0.39/1.00 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 0.39/1.00 (assume @p98 @t73) % 0.39/1.00 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.39/1.00 (assume @p100 (forall @t41 (or @t46 @t74 @t71 @t70))) % 0.39/1.00 (assume @p101 (forall @t41 (or @t77 @t74 @t46 @t75))) % 0.39/1.00 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 0.39/1.00 (assume @p103 (forall @t41 (or @t79 @t74 @t46 @t78))) % 0.39/1.00 (assume @p104 (forall @t41 (or @t77 @t46 @t74 @t80))) % 0.39/1.00 (assume @p105 (forall @t41 (or @t82 @t74 @t46 @t81))) % 0.39/1.00 (assume @p106 (forall @t41 (or @t84 @t46 @t74 @t83))) % 0.39/1.00 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 0.39/1.00 (assume @p108 (forall @t41 (or @t79 (not @t80) @t46 @t74))) % 0.39/1.00 (assume @p109 (forall @t41 (or @t86 @t77 @t74 @t46))) % 0.39/1.00 (assume @p110 (forall @t41 (or @t58 @t47 @t74 (tptp.strictorderedP @t87)))) % 0.39/1.00 (assume @p111 (forall @t41 (or @t58 @t47 @t74 (tptp.totalorderedP @t87)))) % 0.39/1.00 (assume @p112 (forall @t41 (or @t77 (not @t78) @t46 @t74))) % 0.39/1.00 (assume @p113 @t90) % 0.39/1.00 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 0.39/1.00 (assume @p115 (forall @t41 (or @t86 @t88 @t74 @t46))) % 0.39/1.00 (assume @p116 (forall @t41 (or @t93 @t62 @t47 @t54))) % 0.39/1.00 (assume @p117 (forall @t41 (or @t93 @t62 @t47 @t94))) % 0.39/1.00 (assume @p118 (forall @t41 (or @t46 @t62 (= (tptp.app @t48 @t40) @t63)))) % 0.39/1.00 (assume @p119 (forall @t41 (or @t84 @t74 @t46 @t76 @t85))) % 0.39/1.00 (assume @p120 (forall @t41 (or @t47 @t62 @t94 (= (tptp.hd @t61) @t95)))) % 0.39/1.00 (assume @p121 (forall @t41 (or @t98 @t62 @t46 @t96 @t94))) % 0.39/1.00 (assume @p122 (forall @t41 (or @t101 @t62 @t46 @t99 @t94))) % 0.39/1.00 (assume @p123 (forall @t41 (or @t82 (not @t83) @t46 @t74 @t70))) % 0.39/1.00 (assume @p124 (forall @t41 (or @t102 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t70))) % 0.39/1.00 (assume @p125 (forall @t41 (or @t103 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t70))) % 0.39/1.00 (assume @p126 (forall @t41 (or @t104 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t70))) % 0.39/1.00 (assume @p127 (forall @t41 (or @t84 @t105 @t46 @t74 @t70))) % 0.39/1.00 (assume @p128 (forall @t41 (or @t103 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.39/1.00 (assume @p129 (forall @t41 (or @t104 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.39/1.00 (assume @p130 (forall @t41 (or @t47 @t62 @t94 (= (tptp.tl @t61) (tptp.app @t106 @t2))))) % 0.39/1.00 (assume @p131 (forall @t41 (or @t98 @t62 @t46 @t107 @t94))) % 0.39/1.00 (assume @p132 (forall @t41 (or @t101 @t62 @t46 @t108 @t94))) % 0.39/1.00 (assume @p133 (forall @t112 (or @t103 @t111 @t62 @t47 (tptp.rearsegP @t110 @t40)))) % 0.39/1.00 (assume @p134 (forall @t112 (or @t104 @t111 @t62 @t47 (tptp.frontsegP @t113 @t40)))) % 0.39/1.00 (assume @p135 (forall @t112 (or @t86 @t111 @t74 @t46 (tptp.memberP @t114 @t2)))) % 0.39/1.00 (assume @p136 (forall @t112 (or @t117 @t47 @t116 @t74 (tptp.memberP @t115 @t40)))) % 0.39/1.00 (assume @p137 (forall @t112 (or @t117 @t111 @t47 @t74 (tptp.memberP @t113 @t40)))) % 0.39/1.00 (assume @p138 (forall @t112 (or @t117 @t47 @t111 @t74 (tptp.memberP @t110 @t40)))) % 0.39/1.00 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.39/1.00 (assume @p140 (forall @t112 (or @t118 @t47 @t62 @t111 (tptp.rearsegP @t109 @t40)))) % 0.39/1.00 (assume @p141 (forall @t112 (or @t118 @t62 @t47 @t111 (tptp.frontsegP @t109 @t2)))) % 0.39/1.00 (assume @p142 (forall @t41 (or @t58 (not @t94) @t62 @t47 @t92))) % 0.39/1.00 (assume @p143 (forall @t112 (or @t79 (not (tptp.gt @t40 @t109)) @t116 @t74 @t46 (tptp.gt @t2 @t109)))) % 0.39/1.00 (assume @p144 (forall @t112 (or @t84 @t120 @t116 @t74 @t46 @t119))) % 0.39/1.00 (assume @p145 (forall @t112 (or @t82 (not (tptp.geq @t40 @t109)) @t116 @t74 @t46 (tptp.geq @t2 @t109)))) % 0.39/1.00 (assume @p146 (forall @t112 (or @t47 @t62 @t111 (= (tptp.app @t121 @t2) (tptp.app @t109 @t61))))) % 0.39/1.00 (assume @p147 (forall @t112 (or (not (= @t91 @t113)) @t62 @t47 @t111 @t122))) % 0.39/1.00 (assume @p148 (forall @t112 (or (not (= @t91 @t121)) @t47 @t62 @t111 @t123))) % 0.39/1.00 (assume @p149 (forall @t112 (or @t102 (not (tptp.segmentP @t40 @t109)) @t111 @t62 @t47 (tptp.segmentP @t2 @t109)))) % 0.39/1.00 (assume @p150 (forall @t112 (or @t103 (not (tptp.rearsegP @t40 @t109)) @t111 @t62 @t47 (tptp.rearsegP @t2 @t109)))) % 0.39/1.00 (assume @p151 (forall @t112 (or @t104 (not (tptp.frontsegP @t40 @t109)) @t111 @t62 @t47 (tptp.frontsegP @t2 @t109)))) % 0.39/1.00 (assume @p152 (forall @t112 (or @t77 @t120 @t116 @t74 @t46 @t119))) % 0.39/1.00 (assume @p153 (forall @t112 (or @t84 (not (tptp.leq @t40 @t109)) @t116 @t74 @t46 (tptp.leq @t2 @t109)))) % 0.39/1.00 (assume @p154 (forall @t112 (or @t46 @t62 @t111 (= (tptp.cons @t2 (tptp.app @t40 @t109)) (tptp.app @t63 @t109))))) % 0.39/1.00 (assume @p155 (forall @t112 (or (not (tptp.memberP @t91 @t109)) @t62 @t47 @t116 @t124 (tptp.memberP @t2 @t109)))) % 0.39/1.00 (assume @p156 (forall @t41 (or (not @t108) (not @t99) @t62 @t46 @t100 @t94))) % 0.39/1.00 (assume @p157 (forall @t41 (or (not @t107) (not @t96) @t62 @t46 @t97 @t94))) % 0.39/1.00 (assume @p158 (forall @t112 (or (not (tptp.memberP @t63 @t109)) @t62 @t46 @t116 @t124 (= @t109 @t2)))) % 0.39/1.00 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.39/1.00 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.39/1.00 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.39/1.00 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.39/1.00 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.39/1.00 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.39/1.00 (assume @p165 (forall @t41 (or @t102 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.39/1.00 (assume @p166 (forall @t41 (or @t117 @t74 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.39/1.00 (assume @p167 (forall @t129 (or @t128 @t116 @t46 @t126 @t62 @t123))) % 0.39/1.00 (assume @p168 (forall @t129 (or @t128 @t116 @t46 @t126 @t62 (= @t125 @t40)))) % 0.39/1.00 (assume @p169 (forall @t129 (or @t102 @t111 @t126 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t125 @t2) @t109) @t40)))) % 0.39/1.00 (assume @p170 @t134) % 0.39/1.00 (assume @p171 (forall @t129 (or @t135 @t126 @t62 @t116 @t46 (tptp.frontsegP @t40 @t125)))) % 0.39/1.00 (assume @p172 (forall @t129 (or (not (= @t136 @t125)) @t111 @t47 @t74 @t126 (tptp.memberP @t125 @t40)))) % 0.39/1.00 (assume @p173 (forall @t129 (or @t135 @t126 @t62 @t116 @t46 @t123))) % 0.39/1.00 (assume @p174 (forall @t41 (or (not (= @t55 @t106)) (not (= @t56 @t95)) @t47 @t62 @t94 @t85 @t54))) % 0.39/1.00 (assume @p175 (forall @t129 (or @t104 (not (= @t109 @t125)) @t62 @t47 @t137 @t116 (tptp.frontsegP @t115 (tptp.cons @t125 @t40))))) % 0.39/1.00 (assume @p176 (forall @t140 (or (not (= (tptp.app @t136 (tptp.cons @t40 @t125)) @t138)) @t126 @t111 @t47 @t74 (not (tptp.duplicatefreeP @t138)) @t139))) % 0.39/1.00 (assume @p177 (forall @t140 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t127)) @t138)) @t126 @t47 @t116 @t74 (not (tptp.equalelemsP @t138)) @t139 @t122))) % 0.39/1.00 (assume @p178 (forall @t145 (or @t144 @t139 @t111 @t47 @t137 @t74 (not (tptp.strictorderedP @t142)) @t143 @t141))) % 0.39/1.00 (assume @p179 (forall @t145 (or @t144 @t139 @t111 @t47 @t137 @t74 (not (tptp.totalorderedP @t142)) @t143 @t146))) % 0.39/1.00 (assume @p180 (forall @t145 (or @t144 @t139 @t111 @t47 @t137 @t74 (not (tptp.strictorderP @t142)) @t143 @t141 (tptp.lt @t125 @t40)))) % 0.39/1.00 (assume @p181 (forall @t145 (or @t144 @t139 @t111 @t47 @t137 @t74 (not (tptp.totalorderP @t142)) @t143 @t146 (tptp.leq @t125 @t40)))) % 0.39/1.00 (assume @p182 (forall @t145 (or @t84 @t105 (not (= (tptp.app (tptp.app @t109 (tptp.cons @t2 @t125)) (tptp.cons @t40 @t138)) @t142)) @t139 @t126 @t111 @t74 @t46 (not (tptp.cyclefreeP @t142)) @t143))) % 0.39/1.00 (assume @p183 @t147) % 0.39/1.00 (assume @p184 @t148) % 0.39/1.00 (assume @p185 (tptp.ssList tptp.sk3)) % 0.39/1.00 (assume @p186 (tptp.ssList tptp.sk4)) % 0.39/1.00 (assume @p187 @t149) % 0.39/1.00 (assume @p188 @t150) % 0.39/1.00 (assume @p189 @t151) % 0.39/1.00 (assume @p190 (forall (@list @t152) (or (not (tptp.ssList @t152)) (not (tptp.neq @t152 tptp.nil)) (not (tptp.segmentP tptp.sk2 @t152)) (not (tptp.segmentP tptp.sk1 @t152))))) % 0.39/1.00 (assume @p191 @t153) % 0.39/1.00 (assume @p192 (= @t154 tptp.sk4)) % 0.39/1.00 (assume @p193 (tptp.strictorderedP tptp.sk3)) % 0.39/1.00 (assume @p194 (forall (@list @t152 @t157 @t155 @t156) (or (not (tptp.ssItem @t152)) (not (tptp.ssList @t157)) (not (= (tptp.app (tptp.cons @t152 tptp.nil) @t157) tptp.sk5)) (not (tptp.ssItem @t155)) (not (tptp.ssList @t156)) (not (= (tptp.app @t156 (tptp.cons @t155 tptp.nil)) tptp.sk3)) (not (tptp.lt @t155 @t152))))) % 0.39/1.00 (assume @p195 (or @t160 @t159)) % 0.39/1.00 (step @p196 :rule aci_norm :args ((= (or false @t111 @t47 @t62 @t162 @t161) (or @t111 @t47 @t62 @t162 @t161)))) % 0.39/1.00 (step @p197 :rule refl :args (@t161)) % 0.39/1.00 (step @p198 :rule refl :args (@t162)) % 0.39/1.00 (step @p199 :rule refl :args (@t62)) % 0.39/1.00 (step @p200 :rule refl :args (@t47)) % 0.39/1.00 (step @p201 :rule refl :args (@t111)) % 0.39/1.00 (step @p202 :rule evaluate :args ((not true))) % 0.39/1.00 (step @p203 :rule eq-refl :args (@t131)) % 0.39/1.00 (step @p204 :rule cong :premises (@p203) :args (@t163)) % 0.39/1.00 (step @p205 :rule trans :premises (@p204 @p202)) % 0.39/1.00 (step @p206 :rule nary_cong :premises (@p205 @p201 @p200 @p199 @p198 @p197) :args (@t164)) % 0.39/1.00 (step @p207 :rule trans :premises (@p206 @p196)) % 0.39/1.00 (step @p208 :rule cong :premises (@p207) :args ((forall @t112 @t164))) % 0.39/1.00 (step @p209 :rule quant-var-elim-eq :args ((= (forall @t167 @t166) @t164))) % 0.39/1.00 (step @p210 :rule aci_norm :args ((= @t168 @t166))) % 0.39/1.00 (step @p211 :rule cong :premises (@p210) :args (@t169)) % 0.39/1.00 (step @p212 :rule trans :premises (@p211 @p209)) % 0.39/1.00 (step @p213 :rule cong :premises (@p212) :args (@t170)) % 0.39/1.00 (step @p214 :rule quant-merge-prenex :args ((= @t170 (forall @t129 @t168)))) % 0.39/1.00 (step @p215 :rule symm :premises (@p214)) % 0.39/1.00 (step @p216 :rule trans :premises (@p215 @p213)) % 0.39/1.00 (step @p217 :rule trans :premises (@p216 @p208)) % 0.39/1.00 (step @p218 :rule refl :args (@t130)) % 0.39/1.00 (step @p219 :rule refl :args (@t126)) % 0.39/1.00 (step @p220 :rule eq-symm :args (@t131 @t125)) % 0.39/1.00 (step @p221 :rule cong :premises (@p220) :args (@t132)) % 0.39/1.00 (step @p222 :rule nary_cong :premises (@p221 @p201 @p200 @p199 @p219 @p218) :args (@t133)) % 0.39/1.00 (step @p223 :rule cong :premises (@p222) :args (@t134)) % 0.39/1.00 (step @p224 :rule trans :premises (@p223 @p217)) % 0.39/1.00 (step @p225 :rule eq_resolve :premises (@p170 @p224)) % 0.39/1.00 (step @p226 :rule instantiate :premises (@p225) :args ((@list tptp.nil tptp.sk1 tptp.sk5))) % 0.39/1.00 (step @p227 :rule true_intro :premises (@p184)) % 0.39/1.00 (step @p228 :rule symm :premises (@p187)) % 0.39/1.00 (step @p229 :rule refl :args (tptp.sk5)) % 0.39/1.00 (step @p230 :rule eq-symm :args (@t51 @t2)) % 0.39/1.00 (step @p231 :rule nary_cong :premises (@p200 @p230) :args (@t52)) % 0.39/1.00 (step @p232 :rule cong :premises (@p231) :args (@t53)) % 0.39/1.00 (step @p233 :rule eq_resolve :premises (@p74 @p232)) % 0.39/1.00 (step @p234 :rule instantiate :premises (@p233) :args (@t171)) % 0.39/1.00 (step @p235 :rule cnf_or_pos :args (@t175)) % 0.39/1.00 (step @p236 :rule reordering :premises (@p235) :args ((or @t174 @t173 (not @t175)))) % 0.39/1.00 (step @p237 :rule chain_m_resolution :premises (@p236 @p183 @p234) :args (@t173 @t176 (@list @t147 @t175))) % 0.39/1.00 (step @p238 :rule symm :premises (@p237)) % 0.39/1.00 (step @p239 :rule trans :premises (@p238 @p188)) % 0.39/1.00 (step @p240 :rule cong :premises (@p239 @p229) :args (@t177)) % 0.39/1.00 (step @p241 :rule trans :premises (@p240 @p192 @p228)) % 0.39/1.00 (step @p242 :rule cong :premises (@p241) :args (@t178)) % 0.39/1.00 (step @p243 :rule trans :premises (@p242 @p227)) % 0.39/1.00 (step @p244 :rule true_elim :premises (@p243)) % 0.39/1.00 (step @p245 :rule instantiate :premises (@p190) :args (@t171)) % 0.39/1.00 (step @p246 :rule instantiate :premises (@p57) :args (@t171)) % 0.39/1.00 (step @p247 :rule cnf_or_pos :args (@t180)) % 0.39/1.00 (step @p248 :rule reordering :premises (@p247) :args ((or @t174 @t179 (not @t180)))) % 0.39/1.00 (step @p249 :rule chain_m_resolution :premises (@p248 @p183 @p246) :args (@t179 @t176 (@list @t147 @t180))) % 0.39/1.00 (step @p250 :rule eq-symm :args (@t40 @t2)) % 0.39/1.00 (step @p251 :rule refl :args (@t71)) % 0.39/1.00 (step @p252 :rule nary_cong :premises (@p200 @p199 @p251 @p250) :args (@t72)) % 0.39/1.00 (step @p253 :rule cong :premises (@p252) :args (@t73)) % 0.39/1.00 (step @p254 :rule eq_resolve :premises (@p98 @p253)) % 0.39/1.00 (step @p255 :rule instantiate :premises (@p254) :args ((@list tptp.nil tptp.sk1))) % 0.39/1.00 (step @p256 :rule aci_norm :args ((= (or false @t181 @t62 @t62) (or @t181 @t62)))) % 0.39/1.00 (step @p257 :rule refl :args (@t181)) % 0.39/1.00 (step @p258 :rule eq-refl :args (@t40)) % 0.39/1.00 (step @p259 :rule cong :premises (@p258) :args (@t182)) % 0.39/1.00 (step @p260 :rule trans :premises (@p259 @p202)) % 0.39/1.00 (step @p261 :rule nary_cong :premises (@p260 @p257 @p199 @p199) :args (@t183)) % 0.39/1.00 (step @p262 :rule trans :premises (@p261 @p256)) % 0.39/1.00 (step @p263 :rule cong :premises (@p262) :args ((forall @t184 @t183))) % 0.39/1.00 (step @p264 :rule quant-var-elim-eq :args ((= (forall @t4 @t185) @t183))) % 0.39/1.00 (step @p265 :rule aci_norm :args ((= @t89 @t185))) % 0.39/1.00 (step @p266 :rule cong :premises (@p265) :args (@t186)) % 0.39/1.00 (step @p267 :rule trans :premises (@p266 @p264)) % 0.39/1.00 (step @p268 :rule cong :premises (@p267) :args (@t187)) % 0.39/1.00 (step @p269 :rule quant-merge-prenex :args ((= @t187 @t188))) % 0.39/1.00 (step @p270 :rule symm :premises (@p269)) % 0.39/1.00 (step @p271 :rule quant_var_reordering :args ((= @t90 @t188))) % 0.39/1.00 (step @p272 :rule trans :premises (@p271 @p270 @p268)) % 0.39/1.00 (step @p273 :rule trans :premises (@p272 @p263)) % 0.39/1.00 (step @p274 :rule eq_resolve :premises (@p113 @p273)) % 0.39/1.00 (step @p275 :rule instantiate :premises (@p274) :args ((@list tptp.sk2))) % 0.39/1.00 (step @p276 :rule cnf_or_pos :args (@t192)) % 0.39/1.00 (step @p277 :rule reordering :premises (@p276) :args ((or @t189 @t191 (not @t192)))) % 0.39/1.00 (step @p278 :rule chain_m_resolution :premises (@p277 @p184 @p275) :args (@t191 @t176 (@list @t148 @t192))) % 0.39/1.00 (step @p279 :rule bool-double-not-elim :args (@t190)) % 0.39/1.00 (step @p280 :rule refl :args (@t194)) % 0.39/1.00 (step @p281 :rule refl :args (@t195)) % 0.39/1.00 (step @p282 :rule nary_cong :premises (@p281 @p280 @p279) :args ((or @t195 @t194 (not @t191)))) % 0.39/1.00 (assume-push @p407 @t151) % 0.39/1.00 (assume-push @p408 @t193) % 0.39/1.00 (assume-push @p409 @t191) % 0.39/1.00 (step @p286 :rule evaluate :args ((= false true))) % 0.39/1.00 (step @p287 :rule true_intro :premises (@p189)) % 0.39/1.00 (step @p288 :rule symm :premises (@p408)) % 0.39/1.00 (step @p289 :rule refl :args (tptp.sk2)) % 0.39/1.00 (step @p290 :rule cong :premises (@p289 @p288) :args (@t190)) % 0.39/1.00 (step @p291 :rule false_intro :premises (@p278)) % 0.39/1.00 (step @p292 :rule symm :premises (@p291)) % 0.39/1.00 (step @p293 :rule trans :premises (@p292 @p290 @p287)) % 0.39/1.00 (step @p294 false :rule eq_resolve :premises (@p293 @p286)) % 0.39/1.00 (step-pop @p410 :rule scope :premises (@p294)) % 0.39/1.00 (step-pop @p411 :rule scope :premises (@p410)) % 0.39/1.00 (step-pop @p412 :rule scope :premises (@p411)) % 0.39/1.00 (step @p295 :rule process_scope :premises (@p412) :args (false)) % 0.39/1.00 (step @p299 :rule not_and :premises (@p295)) % 0.39/1.00 (step @p300 :rule eq_resolve :premises (@p299 @p282)) % 0.39/1.00 (step @p301 :rule reordering :premises (@p300) :args ((or @t195 @t190 @t194))) % 0.39/1.00 (step @p302 :rule chain_m_resolution :premises (@p301 @p189 @p278) :args (@t194 @t196 (@list @t151 @t190))) % 0.39/1.00 (step @p303 :rule refl :args (@t197)) % 0.39/1.00 (step @p304 :rule bool-double-not-elim :args (@t193)) % 0.39/1.00 (step @p305 :rule refl :args (@t198)) % 0.39/1.00 (step @p306 :rule nary_cong :premises (@p305 @p304 @p303) :args ((or @t198 (not @t194) @t197))) % 0.39/1.00 (assume-push @p413 @t149) % 0.39/1.00 (assume-push @p414 @t194) % 0.39/1.00 (assume-push @p415 @t194) % 0.39/1.00 (assume-push @p416 @t149) % 0.39/1.00 (step @p311 :rule false_intro :premises (@p414)) % 0.39/1.00 (step @p312 :rule refl :args (tptp.nil)) % 0.39/1.00 (step @p313 :rule cong :premises (@p312 @p228) :args (@t160)) % 0.39/1.00 (step @p314 :rule trans :premises (@p313 @p311)) % 0.39/1.00 (step @p315 :rule false_elim :premises (@p314)) % 0.39/1.00 (step-pop @p417 :rule scope :premises (@p315)) % 0.39/1.00 (step-pop @p418 :rule scope :premises (@p417)) % 0.39/1.00 (step @p316 :rule process_scope :premises (@p418) :args (@t197)) % 0.39/1.00 (step @p319 :rule and_intro :premises (@p414 @p187)) % 0.39/1.00 (step @p320 :rule modus_ponens :premises (@p319 @p316)) % 0.39/1.00 (step-pop @p419 :rule scope :premises (@p320)) % 0.39/1.00 (step-pop @p420 :rule scope :premises (@p419)) % 0.39/1.00 (step @p321 :rule process_scope :premises (@p420) :args (@t197)) % 0.39/1.00 (step @p324 :rule implies_elim :premises (@p321)) % 0.39/1.00 (step @p325 :rule cnf_and_neg :args (@t199)) % 0.39/1.00 (step @p326 :rule resolution :premises (@p325 @p324) :args (true @t199)) % 0.39/1.00 (step @p327 :rule eq_resolve :premises (@p326 @p306)) % 0.39/1.00 (step @p328 :rule reordering :premises (@p327) :args ((or @t198 @t197 @t193))) % 0.39/1.00 (step @p329 :rule chain_m_resolution :premises (@p328 @p187 @p302) :args (@t197 @t196 (@list @t149 @t193))) % 0.39/1.00 (step @p330 :rule chain_m_resolution :premises (@p195 @p329) :args (@t159 (@list true) (@list @t160))) % 0.39/1.00 (step @p331 :rule refl :args (@t201)) % 0.39/1.00 (step @p332 :rule bool-double-not-elim :args (@t158)) % 0.39/1.00 (step @p333 :rule refl :args (@t202)) % 0.39/1.00 (step @p334 :rule nary_cong :premises (@p333 @p332 @p331) :args ((or @t202 (not @t159) @t201))) % 0.39/1.00 (assume-push @p421 @t150) % 0.39/1.00 (assume-push @p422 @t159) % 0.39/1.00 (assume-push @p423 @t159) % 0.39/1.00 (assume-push @p424 @t150) % 0.39/1.00 (step @p339 :rule false_intro :premises (@p422)) % 0.39/1.00 (step @p312 :rule refl :args (tptp.nil)) % 0.39/1.00 (step @p340 :rule cong :premises (@p312 @p188) :args (@t200)) % 0.39/1.00 (step @p341 :rule trans :premises (@p340 @p339)) % 0.39/1.00 (step @p342 :rule false_elim :premises (@p341)) % 0.39/1.00 (step-pop @p425 :rule scope :premises (@p342)) % 0.39/1.00 (step-pop @p426 :rule scope :premises (@p425)) % 0.39/1.00 (step @p343 :rule process_scope :premises (@p426) :args (@t201)) % 0.39/1.00 (step @p346 :rule and_intro :premises (@p422 @p188)) % 0.39/1.00 (step @p347 :rule modus_ponens :premises (@p346 @p343)) % 0.39/1.00 (step-pop @p427 :rule scope :premises (@p347)) % 0.39/1.00 (step-pop @p428 :rule scope :premises (@p427)) % 0.39/1.00 (step @p348 :rule process_scope :premises (@p428) :args (@t201)) % 0.39/1.00 (step @p351 :rule implies_elim :premises (@p348)) % 0.39/1.00 (step @p352 :rule cnf_and_neg :args (@t203)) % 0.39/1.00 (step @p353 :rule resolution :premises (@p352 @p351) :args (true @t203)) % 0.39/1.00 (step @p354 :rule eq_resolve :premises (@p353 @p334)) % 0.39/1.00 (step @p355 :rule reordering :premises (@p354) :args ((or @t158 @t202 @t201))) % 0.39/1.00 (step @p356 :rule chain_m_resolution :premises (@p355 @p330 @p188) :args (@t201 (@list true false) (@list @t158 @t150))) % 0.39/1.00 (step @p357 :rule cnf_or_pos :args (@t206)) % 0.39/1.00 (step @p358 :rule reordering :premises (@p357) :args ((or @t205 @t174 @t200 @t204 (not @t206)))) % 0.39/1.00 (step @p359 :rule chain_m_resolution :premises (@p358 @p8 @p183 @p356 @p255) :args (@t204 (@list false false true false) (@list @t1 @t147 @t200 @t206))) % 0.39/1.00 (step @p360 :rule cnf_or_pos :args (@t211)) % 0.39/1.00 (step @p361 :rule reordering :premises (@p360) :args ((or @t174 @t210 @t209 @t207 (not @t211)))) % 0.39/1.00 (step @p362 :rule chain_m_resolution :premises (@p361 @p183 @p359 @p249 @p245) :args (@t209 (@list false false false false) (@list @t147 @t204 @t179 @t211))) % 0.39/1.00 (step @p363 :rule symm :premises (@p192)) % 0.39/1.00 (step @p364 :rule refl :args (@t213)) % 0.39/1.00 (step @p365 :rule bool-double-not-elim :args (@t208)) % 0.39/1.00 (step @p366 :rule refl :args (@t214)) % 0.39/1.00 (step @p367 :rule refl :args (@t216)) % 0.39/1.00 (step @p368 :rule nary_cong :premises (@p305 @p333 @p367 @p366 @p365 @p364) :args ((or @t198 @t202 @t216 @t214 (not @t209) @t213))) % 0.39/1.00 (assume-push @p429 @t149) % 0.39/1.00 (assume-push @p430 @t150) % 0.39/1.00 (assume-push @p431 @t215) % 0.39/1.00 (assume-push @p432 @t173) % 0.39/1.00 (assume-push @p433 @t209) % 0.39/1.00 (assume-push @p434 @t209) % 0.39/1.00 (assume-push @p435 @t149) % 0.39/1.00 (assume-push @p436 @t215) % 0.39/1.00 (assume-push @p437 @t150) % 0.39/1.00 (assume-push @p438 @t173) % 0.39/1.00 (step @p379 :rule false_intro :premises (@p433)) % 0.39/1.00 (step @p380 :rule refl :args (tptp.sk1)) % 0.39/1.00 (step @p381 :rule cong :premises (@p241 @p380) :args (@t212)) % 0.39/1.00 (step @p382 :rule trans :premises (@p381 @p379)) % 0.39/1.00 (step @p383 :rule false_elim :premises (@p382)) % 0.39/1.00 (step-pop @p439 :rule scope :premises (@p383)) % 0.39/1.00 (step-pop @p440 :rule scope :premises (@p439)) % 0.39/1.00 (step-pop @p441 :rule scope :premises (@p440)) % 0.39/1.00 (step-pop @p442 :rule scope :premises (@p441)) % 0.39/1.00 (step-pop @p443 :rule scope :premises (@p442)) % 0.39/1.00 (step @p384 :rule process_scope :premises (@p443) :args (@t213)) % 0.39/1.00 (step @p390 :rule and_intro :premises (@p433 @p187 @p363 @p188 @p237)) % 0.39/1.00 (step @p391 :rule modus_ponens :premises (@p390 @p384)) % 0.39/1.00 (step-pop @p444 :rule scope :premises (@p391)) % 0.39/1.00 (step-pop @p445 :rule scope :premises (@p444)) % 0.39/1.00 (step-pop @p446 :rule scope :premises (@p445)) % 0.39/1.00 (step-pop @p447 :rule scope :premises (@p446)) % 0.39/1.00 (step-pop @p448 :rule scope :premises (@p447)) % 0.39/1.00 (step @p392 :rule process_scope :premises (@p448) :args (@t213)) % 0.39/1.00 (step @p398 :rule implies_elim :premises (@p392)) % 0.39/1.00 (step @p399 :rule cnf_and_neg :args (@t217)) % 0.39/1.00 (step @p400 :rule resolution :premises (@p399 @p398) :args (true @t217)) % 0.39/1.00 (step @p401 :rule eq_resolve :premises (@p400 @p368)) % 0.39/1.00 (step @p402 :rule reordering :premises (@p401) :args ((or @t198 @t202 @t216 @t208 @t214 @t213))) % 0.39/1.00 (step @p403 :rule chain_m_resolution :premises (@p402 @p187 @p188 @p363 @p362 @p237) :args (@t213 (@list false false false true false) (@list @t149 @t150 @t215 @t208 @t173))) % 0.39/1.00 (step @p404 :rule cnf_or_pos :args (@t220)) % 0.39/1.00 (step @p405 :rule reordering :premises (@p404) :args ((or @t205 @t174 @t219 @t218 @t212 (not @t220)))) % 0.39/1.00 (step @p406 false :rule chain_m_resolution :premises (@p405 @p403 @p244 @p226 @p191 @p183 @p8) :args (false (@list true false false false false false) (@list @t212 @t178 @t220 @t153 @t147 @t1))) % 0.39/1.00 ) % 0.39/1.01 % SZS output end Proof % 0.39/1.01 % cvc5 exiting %------------------------------------------------------------------------------