%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC022-1 : 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 : n021.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 08:57:44 AM UTC 2026 % Result : Unsatisfiable 1.63s 1.84s % Output : Proof 1.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SWC022-1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n021.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:11:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.54 %----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... % 1.63/1.84 % SZS status Unsatisfiable % 1.63/1.84 % SZS output start Proof % 1.63/1.86 ( % 1.63/1.86 (declare-sort $$unsorted 0) % 1.63/1.86 (declare-const tptp.sk4 $$unsorted) % 1.63/1.86 (declare-const tptp.sk2 $$unsorted) % 1.63/1.86 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.nil $$unsorted) % 1.63/1.86 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.sk1 $$unsorted) % 1.63/1.86 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.skac2 $$unsorted) % 1.63/1.86 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.sk3 $$unsorted) % 1.63/1.86 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skac3 $$unsorted) % 1.63/1.86 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.86 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.63/1.86 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.63/1.86 (define @t1 () (tptp.ssList tptp.nil)) % 1.63/1.86 (define @t2 () (@var "U" $$unsorted)) % 1.63/1.86 (define @t3 () (tptp.skaf83 @t2)) % 1.63/1.86 (define @t4 () (@list @t2)) % 1.63/1.86 (define @t5 () (tptp.skaf82 @t2)) % 1.63/1.86 (define @t6 () (tptp.skaf81 @t2)) % 1.63/1.86 (define @t7 () (tptp.skaf80 @t2)) % 1.63/1.86 (define @t8 () (tptp.skaf79 @t2)) % 1.63/1.86 (define @t9 () (tptp.skaf78 @t2)) % 1.63/1.86 (define @t10 () (tptp.skaf77 @t2)) % 1.63/1.86 (define @t11 () (tptp.skaf76 @t2)) % 1.63/1.86 (define @t12 () (tptp.skaf75 @t2)) % 1.63/1.86 (define @t13 () (tptp.skaf74 @t2)) % 1.63/1.86 (define @t14 () (tptp.skaf73 @t2)) % 1.63/1.86 (define @t15 () (tptp.skaf72 @t2)) % 1.63/1.86 (define @t16 () (tptp.skaf71 @t2)) % 1.63/1.86 (define @t17 () (tptp.skaf70 @t2)) % 1.63/1.86 (define @t18 () (tptp.skaf69 @t2)) % 1.63/1.86 (define @t19 () (tptp.skaf68 @t2)) % 1.63/1.86 (define @t20 () (tptp.skaf67 @t2)) % 1.63/1.86 (define @t21 () (tptp.skaf66 @t2)) % 1.63/1.86 (define @t22 () (tptp.skaf65 @t2)) % 1.63/1.86 (define @t23 () (tptp.skaf64 @t2)) % 1.63/1.86 (define @t24 () (tptp.skaf63 @t2)) % 1.63/1.86 (define @t25 () (tptp.skaf62 @t2)) % 1.63/1.86 (define @t26 () (tptp.skaf61 @t2)) % 1.63/1.86 (define @t27 () (tptp.skaf60 @t2)) % 1.63/1.86 (define @t28 () (tptp.skaf59 @t2)) % 1.63/1.86 (define @t29 () (tptp.skaf58 @t2)) % 1.63/1.86 (define @t30 () (tptp.skaf57 @t2)) % 1.63/1.86 (define @t31 () (tptp.skaf56 @t2)) % 1.63/1.86 (define @t32 () (tptp.skaf55 @t2)) % 1.63/1.86 (define @t33 () (tptp.skaf54 @t2)) % 1.63/1.86 (define @t34 () (tptp.skaf53 @t2)) % 1.63/1.86 (define @t35 () (tptp.skaf52 @t2)) % 1.63/1.86 (define @t36 () (tptp.skaf51 @t2)) % 1.63/1.86 (define @t37 () (tptp.skaf50 @t2)) % 1.63/1.86 (define @t38 () (tptp.skaf49 @t2)) % 1.63/1.86 (define @t39 () (tptp.skaf44 @t2)) % 1.63/1.86 (define @t40 () (@var "V" $$unsorted)) % 1.63/1.86 (define @t41 () (@list @t2 @t40)) % 1.63/1.86 (define @t42 () (tptp.skaf47 @t2 @t40)) % 1.63/1.86 (define @t43 () (tptp.skaf46 @t2 @t40)) % 1.63/1.86 (define @t44 () (tptp.skaf45 @t2 @t40)) % 1.63/1.86 (define @t45 () (tptp.skaf42 @t2 @t40)) % 1.63/1.86 (define @t46 () (not (tptp.ssItem @t2))) % 1.63/1.86 (define @t47 () (not (tptp.ssList @t2))) % 1.63/1.86 (define @t48 () (tptp.cons @t2 tptp.nil)) % 1.63/1.86 (define @t49 () (tptp.ssItem @t40)) % 1.63/1.86 (define @t50 () (tptp.duplicatefreeP @t2)) % 1.63/1.86 (define @t51 () (= tptp.nil @t2)) % 1.63/1.86 (define @t52 () (tptp.tl @t2)) % 1.63/1.86 (define @t53 () (tptp.hd @t2)) % 1.63/1.86 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 1.63/1.86 (define @t55 () (not @t51)) % 1.63/1.86 (define @t56 () (tptp.rearsegP tptp.nil @t2)) % 1.63/1.86 (define @t57 () (tptp.frontsegP tptp.nil @t2)) % 1.63/1.86 (define @t58 () (tptp.app @t40 @t2)) % 1.63/1.86 (define @t59 () (not (tptp.ssList @t40))) % 1.63/1.86 (define @t60 () (tptp.cons @t2 @t40)) % 1.63/1.86 (define @t61 () (tptp.cyclefreeP @t2)) % 1.63/1.86 (define @t62 () (tptp.equalelemsP @t2)) % 1.63/1.86 (define @t63 () (tptp.strictorderedP @t2)) % 1.63/1.86 (define @t64 () (tptp.totalorderedP @t2)) % 1.63/1.86 (define @t65 () (tptp.strictorderP @t2)) % 1.63/1.86 (define @t66 () (tptp.totalorderP @t2)) % 1.63/1.86 (define @t67 () (tptp.tl @t60)) % 1.63/1.86 (define @t68 () (or @t46 @t59 (= @t67 @t40))) % 1.63/1.86 (define @t69 () (forall @t41 @t68)) % 1.63/1.86 (define @t70 () (tptp.hd @t60)) % 1.63/1.86 (define @t71 () (or @t46 @t59 (= @t70 @t2))) % 1.63/1.86 (define @t72 () (forall @t41 @t71)) % 1.63/1.86 (define @t73 () (not (= @t60 tptp.nil))) % 1.63/1.86 (define @t74 () (or @t73 @t46 @t59)) % 1.63/1.86 (define @t75 () (forall @t41 @t74)) % 1.63/1.86 (define @t76 () (= @t40 @t2)) % 1.63/1.86 (define @t77 () (tptp.neq @t40 @t2)) % 1.63/1.86 (define @t78 () (or @t47 @t59 @t77 @t76)) % 1.63/1.86 (define @t79 () (forall @t41 @t78)) % 1.63/1.86 (define @t80 () (not @t49)) % 1.63/1.86 (define @t81 () (tptp.leq @t2 @t40)) % 1.63/1.86 (define @t82 () (tptp.lt @t2 @t40)) % 1.63/1.86 (define @t83 () (not @t82)) % 1.63/1.86 (define @t84 () (tptp.lt @t40 @t2)) % 1.63/1.86 (define @t85 () (not (tptp.gt @t2 @t40))) % 1.63/1.86 (define @t86 () (tptp.gt @t40 @t2)) % 1.63/1.86 (define @t87 () (tptp.leq @t40 @t2)) % 1.63/1.86 (define @t88 () (not (tptp.geq @t2 @t40))) % 1.63/1.86 (define @t89 () (tptp.geq @t40 @t2)) % 1.63/1.86 (define @t90 () (not @t81)) % 1.63/1.86 (define @t91 () (tptp.cons @t3 @t5)) % 1.63/1.86 (define @t92 () (or @t47 (= @t91 @t2) @t51)) % 1.63/1.86 (define @t93 () (forall @t4 @t92)) % 1.63/1.86 (define @t94 () (= @t2 @t40)) % 1.63/1.86 (define @t95 () (not @t94)) % 1.63/1.86 (define @t96 () (tptp.cons @t40 @t2)) % 1.63/1.86 (define @t97 () (not (tptp.neq @t2 @t40))) % 1.63/1.86 (define @t98 () (or @t95 @t97 @t59 @t47)) % 1.63/1.86 (define @t99 () (forall @t41 @t98)) % 1.63/1.86 (define @t100 () (tptp.app @t2 @t40)) % 1.63/1.86 (define @t101 () (= @t100 tptp.nil)) % 1.63/1.86 (define @t102 () (not @t101)) % 1.63/1.86 (define @t103 () (= tptp.nil @t40)) % 1.63/1.86 (define @t104 () (tptp.hd @t40)) % 1.63/1.86 (define @t105 () (tptp.strictorderedP @t40)) % 1.63/1.86 (define @t106 () (tptp.strictorderedP @t60)) % 1.63/1.86 (define @t107 () (not @t106)) % 1.63/1.86 (define @t108 () (tptp.totalorderedP @t40)) % 1.63/1.86 (define @t109 () (tptp.totalorderedP @t60)) % 1.63/1.86 (define @t110 () (not @t109)) % 1.63/1.86 (define @t111 () (not (tptp.segmentP @t2 @t40))) % 1.63/1.86 (define @t112 () (not (tptp.rearsegP @t2 @t40))) % 1.63/1.86 (define @t113 () (not (tptp.frontsegP @t2 @t40))) % 1.63/1.86 (define @t114 () (not @t87)) % 1.63/1.86 (define @t115 () (tptp.tl @t40)) % 1.63/1.86 (define @t116 () (tptp.lt @t2 @t104)) % 1.63/1.86 (define @t117 () (tptp.leq @t2 @t104)) % 1.63/1.86 (define @t118 () (@var "W" $$unsorted)) % 1.63/1.86 (define @t119 () (tptp.app @t118 @t2)) % 1.63/1.86 (define @t120 () (not (tptp.ssList @t118))) % 1.63/1.86 (define @t121 () (@list @t2 @t40 @t118)) % 1.63/1.86 (define @t122 () (tptp.app @t2 @t118)) % 1.63/1.86 (define @t123 () (tptp.cons @t40 @t118)) % 1.63/1.86 (define @t124 () (tptp.cons @t118 @t2)) % 1.63/1.86 (define @t125 () (not (tptp.ssItem @t118))) % 1.63/1.86 (define @t126 () (not (tptp.memberP @t2 @t40))) % 1.63/1.86 (define @t127 () (not (= @t100 @t118))) % 1.63/1.86 (define @t128 () (tptp.lt @t2 @t118)) % 1.63/1.86 (define @t129 () (not (tptp.lt @t40 @t118))) % 1.63/1.86 (define @t130 () (tptp.app @t118 @t40)) % 1.63/1.86 (define @t131 () (= @t40 @t118)) % 1.63/1.86 (define @t132 () (= @t2 @t118)) % 1.63/1.86 (define @t133 () (tptp.memberP @t40 @t118)) % 1.63/1.86 (define @t134 () (@var "X" $$unsorted)) % 1.63/1.86 (define @t135 () (not (tptp.ssList @t134))) % 1.63/1.86 (define @t136 () (tptp.cons @t118 @t134)) % 1.63/1.86 (define @t137 () (not (= @t60 @t136))) % 1.63/1.86 (define @t138 () (@list @t2 @t40 @t118 @t134)) % 1.63/1.86 (define @t139 () (not (tptp.frontsegP @t60 @t136))) % 1.63/1.86 (define @t140 () (tptp.app @t2 @t123)) % 1.63/1.86 (define @t141 () (tptp.cons @t134 @t40)) % 1.63/1.86 (define @t142 () (tptp.frontsegP @t124 @t141)) % 1.63/1.86 (define @t143 () (not (tptp.ssItem @t134))) % 1.63/1.86 (define @t144 () (not (= @t118 @t134))) % 1.63/1.86 (define @t145 () (or @t113 @t144 @t59 @t47 @t143 @t125 @t142)) % 1.63/1.86 (define @t146 () (forall @t138 @t145)) % 1.63/1.86 (define @t147 () (@var "Y" $$unsorted)) % 1.63/1.86 (define @t148 () (not (tptp.ssList @t147))) % 1.63/1.86 (define @t149 () (@list @t2 @t40 @t118 @t134 @t147)) % 1.63/1.86 (define @t150 () (tptp.lt @t40 @t134)) % 1.63/1.86 (define @t151 () (@var "Z" $$unsorted)) % 1.63/1.86 (define @t152 () (not (tptp.ssList @t151))) % 1.63/1.86 (define @t153 () (not (= (tptp.app @t140 (tptp.cons @t134 @t147)) @t151))) % 1.63/1.86 (define @t154 () (@list @t2 @t40 @t118 @t134 @t147 @t151)) % 1.63/1.86 (define @t155 () (tptp.leq @t40 @t134)) % 1.63/1.86 (define @t156 () (tptp.ssList tptp.sk1)) % 1.63/1.86 (define @t157 () (tptp.ssList tptp.sk2)) % 1.63/1.86 (define @t158 () (tptp.ssList tptp.sk4)) % 1.63/1.86 (define @t159 () (= tptp.sk2 tptp.sk4)) % 1.63/1.86 (define @t160 () (= tptp.sk1 tptp.sk3)) % 1.63/1.86 (define @t161 () (tptp.neq tptp.sk2 tptp.nil)) % 1.63/1.86 (define @t162 () (or @t161 @t161)) % 1.63/1.86 (define @t163 () (tptp.neq tptp.sk4 tptp.nil)) % 1.63/1.86 (define @t164 () (not @t163)) % 1.63/1.86 (define @t165 () (@var "A" $$unsorted)) % 1.63/1.86 (define @t166 () (not (tptp.frontsegP tptp.sk1 @t165))) % 1.63/1.86 (define @t167 () (not (tptp.frontsegP tptp.sk2 @t165))) % 1.63/1.86 (define @t168 () (not (tptp.neq @t165 tptp.nil))) % 1.63/1.86 (define @t169 () (not (tptp.ssList @t165))) % 1.63/1.86 (define @t170 () (@list @t165)) % 1.63/1.86 (define @t171 () (tptp.neq tptp.nil tptp.sk4)) % 1.63/1.86 (define @t172 () (not @t171)) % 1.63/1.86 (define @t173 () (@var "B" $$unsorted)) % 1.63/1.86 (define @t174 () (tptp.hd tptp.sk4)) % 1.63/1.86 (define @t175 () (not (= @t174 @t173))) % 1.63/1.86 (define @t176 () (tptp.cons @t173 tptp.nil)) % 1.63/1.86 (define @t177 () (not (= @t176 @t165))) % 1.63/1.86 (define @t178 () (not (tptp.ssItem @t173))) % 1.63/1.86 (define @t179 () (= tptp.sk3 @t165)) % 1.63/1.86 (define @t180 () (@list @t165 @t173)) % 1.63/1.86 (define @t181 () (or @t169 @t168 @t167 @t166 @t164)) % 1.63/1.86 (define @t182 () (forall @t170 @t181)) % 1.63/1.86 (define @t183 () (or @t169 @t179 @t178 @t177 @t175 @t172 @t164)) % 1.63/1.86 (define @t184 () (forall @t180 @t183)) % 1.63/1.86 (define @t185 () (@list tptp.sk2)) % 1.63/1.86 (define @t186 () (tptp.frontsegP (tptp.cons @t134 @t2) @t141)) % 1.63/1.86 (define @t187 () (not (= @t134 @t134))) % 1.63/1.86 (define @t188 () (or @t113 @t187 @t59 @t47 @t143 @t143 @t186)) % 1.63/1.86 (define @t189 () (@list @t2 @t40 @t134)) % 1.63/1.86 (define @t190 () (or @t144 @t113 @t144 @t59 @t47 @t143 @t125 @t142)) % 1.63/1.86 (define @t191 () (@list @t118)) % 1.63/1.86 (define @t192 () (forall @t191 @t145)) % 1.63/1.86 (define @t193 () (forall @t189 @t192)) % 1.63/1.86 (define @t194 () (forall (@list @t2 @t40 @t134 @t118) @t145)) % 1.63/1.86 (define @t195 () (tptp.skaf83 tptp.sk2)) % 1.63/1.86 (define @t196 () (tptp.skaf82 tptp.sk2)) % 1.63/1.86 (define @t197 () (@list @t195 @t196)) % 1.63/1.86 (define @t198 () (tptp.cons @t195 @t196)) % 1.63/1.86 (define @t199 () (tptp.hd @t198)) % 1.63/1.86 (define @t200 () (= @t195 @t199)) % 1.63/1.86 (define @t201 () (tptp.ssList @t196)) % 1.63/1.86 (define @t202 () (not @t201)) % 1.63/1.86 (define @t203 () (tptp.ssItem @t195)) % 1.63/1.86 (define @t204 () (not @t203)) % 1.63/1.86 (define @t205 () (or @t204 @t202 @t200)) % 1.63/1.86 (define @t206 () (@list false false false)) % 1.63/1.86 (define @t207 () (not (tptp.neq @t40 @t40))) % 1.63/1.86 (define @t208 () (not (= @t40 @t40))) % 1.63/1.86 (define @t209 () (or @t208 @t207 @t59 @t59)) % 1.63/1.86 (define @t210 () (@list @t40)) % 1.63/1.86 (define @t211 () (or @t95 @t95 @t97 @t59 @t47)) % 1.63/1.86 (define @t212 () (forall @t4 @t98)) % 1.63/1.86 (define @t213 () (forall @t210 @t212)) % 1.63/1.86 (define @t214 () (forall (@list @t40 @t2) @t98)) % 1.63/1.86 (define @t215 () (not @t157)) % 1.63/1.86 (define @t216 () (tptp.neq tptp.sk2 tptp.sk2)) % 1.63/1.86 (define @t217 () (not @t216)) % 1.63/1.86 (define @t218 () (or @t217 @t215)) % 1.63/1.86 (define @t219 () (@list false false)) % 1.63/1.86 (define @t220 () (= tptp.nil tptp.sk2)) % 1.63/1.86 (define @t221 () (not @t220)) % 1.63/1.86 (define @t222 () (not @t161)) % 1.63/1.86 (define @t223 () (not @t159)) % 1.63/1.86 (define @t224 () (and @t161 @t159 @t220 @t217)) % 1.63/1.86 (define @t225 () (@list false false true)) % 1.63/1.86 (define @t226 () (= tptp.sk2 @t198)) % 1.63/1.86 (define @t227 () (or @t215 @t226 @t220)) % 1.63/1.86 (define @t228 () (@list false true false)) % 1.63/1.86 (define @t229 () (or @t169 @t168 @t167 @t166)) % 1.63/1.86 (define @t230 () (forall @t170 @t229)) % 1.63/1.86 (define @t231 () (or @t164 @t229)) % 1.63/1.86 (define @t232 () (@list false)) % 1.63/1.86 (define @t233 () (@list tptp.sk1)) % 1.63/1.86 (define @t234 () (tptp.frontsegP tptp.sk1 tptp.sk1)) % 1.63/1.86 (define @t235 () (not @t156)) % 1.63/1.86 (define @t236 () (or @t235 @t234)) % 1.63/1.86 (define @t237 () (@list @t174 tptp.nil)) % 1.63/1.86 (define @t238 () (tptp.ssItem (tptp.hd tptp.sk2))) % 1.63/1.86 (define @t239 () (or @t215 @t238 @t220)) % 1.63/1.86 (define @t240 () (tptp.ssItem @t174)) % 1.63/1.86 (define @t241 () (and @t159 @t238)) % 1.63/1.86 (define @t242 () (not @t1)) % 1.63/1.86 (define @t243 () (not @t240)) % 1.63/1.86 (define @t244 () (tptp.cons @t174 tptp.nil)) % 1.63/1.86 (define @t245 () (= tptp.nil @t244)) % 1.63/1.86 (define @t246 () (not @t245)) % 1.63/1.86 (define @t247 () (or @t246 @t243 @t242)) % 1.63/1.86 (define @t248 () (tptp.ssList @t244)) % 1.63/1.86 (define @t249 () (or @t243 @t242 @t248)) % 1.63/1.86 (define @t250 () (not @t158)) % 1.63/1.86 (define @t251 () (or @t250 @t242 @t171 (= tptp.sk4 tptp.nil))) % 1.63/1.86 (define @t252 () (forall @t41 (or @t47 @t59 @t77 @t94))) % 1.63/1.86 (define @t253 () (= tptp.nil tptp.sk4)) % 1.63/1.86 (define @t254 () (or @t250 @t242 @t171 @t253)) % 1.63/1.86 (define @t255 () (not @t253)) % 1.63/1.86 (define @t256 () (and @t159 @t221)) % 1.63/1.86 (define @t257 () (@list false false true false)) % 1.63/1.86 (define @t258 () (= tptp.sk3 @t244)) % 1.63/1.86 (define @t259 () (not @t248)) % 1.63/1.86 (define @t260 () (or @t259 @t258 @t243)) % 1.63/1.86 (define @t261 () (not (= @t174 @t174))) % 1.63/1.86 (define @t262 () (or @t259 @t258 @t243 @t261)) % 1.63/1.86 (define @t263 () (not (= @t173 @t174))) % 1.63/1.86 (define @t264 () (= tptp.sk3 @t176)) % 1.63/1.86 (define @t265 () (not (tptp.ssList @t176))) % 1.63/1.86 (define @t266 () (or @t263 @t265 @t264 @t178 @t263)) % 1.63/1.86 (define @t267 () (@list @t173)) % 1.63/1.86 (define @t268 () (or @t265 @t264 @t178 @t263)) % 1.63/1.86 (define @t269 () (not (= @t176 @t176))) % 1.63/1.86 (define @t270 () (or @t265 @t264 @t178 @t269 @t263)) % 1.63/1.86 (define @t271 () (not (= @t165 @t176))) % 1.63/1.86 (define @t272 () (or @t271 @t169 @t179 @t178 @t271 @t263)) % 1.63/1.86 (define @t273 () (or @t169 @t179 @t178 @t271 @t263)) % 1.63/1.86 (define @t274 () (forall @t170 @t273)) % 1.63/1.86 (define @t275 () (forall @t267 @t274)) % 1.63/1.86 (define @t276 () (forall (@list @t173 @t165) @t273)) % 1.63/1.86 (define @t277 () (forall @t180 @t273)) % 1.63/1.86 (define @t278 () (or @t172 @t164 @t277)) % 1.63/1.86 (define @t279 () (or @t172 @t164 @t273)) % 1.63/1.86 (define @t280 () (or @t169 @t179 @t178 @t271 @t263 @t172 @t164)) % 1.63/1.86 (define @t281 () (@list false false false false)) % 1.63/1.86 (define @t282 () (= tptp.nil tptp.sk1)) % 1.63/1.86 (define @t283 () (not @t282)) % 1.63/1.86 (define @t284 () (not @t258)) % 1.63/1.86 (define @t285 () (not @t160)) % 1.63/1.86 (define @t286 () (and @t160 @t258 @t246)) % 1.63/1.86 (define @t287 () (tptp.neq tptp.sk1 tptp.nil)) % 1.63/1.86 (define @t288 () (or @t242 @t235 @t287 @t282)) % 1.63/1.86 (define @t289 () (not @t234)) % 1.63/1.86 (define @t290 () (tptp.frontsegP tptp.sk2 tptp.sk1)) % 1.63/1.86 (define @t291 () (not @t290)) % 1.63/1.86 (define @t292 () (not @t287)) % 1.63/1.86 (define @t293 () (or @t235 @t292 @t291 @t289)) % 1.63/1.86 (define @t294 () (tptp.cons @t195 tptp.nil)) % 1.63/1.86 (define @t295 () (tptp.frontsegP @t198 @t294)) % 1.63/1.86 (define @t296 () (not @t295)) % 1.63/1.86 (define @t297 () (not @t200)) % 1.63/1.86 (define @t298 () (not @t226)) % 1.63/1.86 (define @t299 () (and @t159 @t160 @t258 @t226 @t291 @t200)) % 1.63/1.86 (define @t300 () (tptp.tl tptp.sk4)) % 1.63/1.86 (define @t301 () (tptp.ssList @t300)) % 1.63/1.86 (define @t302 () (or @t250 @t301 @t253)) % 1.63/1.86 (define @t303 () (tptp.frontsegP @t300 tptp.nil)) % 1.63/1.86 (define @t304 () (not @t301)) % 1.63/1.86 (define @t305 () (or @t304 @t303)) % 1.63/1.86 (define @t306 () (tptp.tl @t198)) % 1.63/1.86 (define @t307 () (= @t196 @t306)) % 1.63/1.86 (define @t308 () (or @t204 @t202 @t307)) % 1.63/1.86 (define @t309 () (tptp.frontsegP @t196 tptp.nil)) % 1.63/1.86 (define @t310 () (and @t159 @t226 @t307 @t303)) % 1.63/1.86 (define @t311 () (not @t309)) % 1.63/1.86 (define @t312 () (or @t311 @t242 @t202 @t204 @t295)) % 1.63/1.86 (assume @p1 (tptp.equalelemsP tptp.nil)) % 1.63/1.86 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 1.63/1.86 (assume @p3 (tptp.strictorderedP tptp.nil)) % 1.63/1.86 (assume @p4 (tptp.totalorderedP tptp.nil)) % 1.63/1.86 (assume @p5 (tptp.strictorderP tptp.nil)) % 1.63/1.86 (assume @p6 (tptp.totalorderP tptp.nil)) % 1.63/1.86 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 1.63/1.86 (assume @p8 @t1) % 1.63/1.86 (assume @p9 (tptp.ssItem tptp.skac3)) % 1.63/1.86 (assume @p10 (tptp.ssItem tptp.skac2)) % 1.63/1.86 (assume @p11 (not (tptp.singletonP tptp.nil))) % 1.63/1.86 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 1.63/1.86 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 1.63/1.86 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 1.63/1.86 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 1.63/1.86 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 1.63/1.86 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 1.63/1.86 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 1.63/1.86 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 1.63/1.86 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 1.63/1.86 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 1.63/1.86 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 1.63/1.86 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 1.63/1.86 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 1.63/1.86 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 1.63/1.86 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 1.63/1.86 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 1.63/1.86 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 1.63/1.86 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 1.63/1.86 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 1.63/1.86 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 1.63/1.86 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 1.63/1.86 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 1.63/1.86 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 1.63/1.86 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 1.63/1.86 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 1.63/1.86 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 1.63/1.86 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 1.63/1.86 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 1.63/1.86 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 1.63/1.86 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 1.63/1.86 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 1.63/1.86 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 1.63/1.86 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 1.63/1.86 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 1.63/1.86 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 1.63/1.87 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 1.63/1.87 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 1.63/1.87 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 1.63/1.87 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 1.63/1.87 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 1.63/1.87 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 1.63/1.87 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 1.63/1.87 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 1.63/1.87 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 1.63/1.87 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 1.63/1.87 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 1.63/1.87 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 1.63/1.87 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 1.63/1.87 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 1.63/1.87 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 1.63/1.87 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 1.63/1.87 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 1.63/1.87 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 1.63/1.87 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 1.63/1.87 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 1.63/1.87 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 1.63/1.87 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 1.63/1.87 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 1.63/1.87 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 1.63/1.87 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 1.63/1.87 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 1.63/1.87 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.63/1.87 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 1.63/1.87 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 1.63/1.87 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 1.63/1.87 (assume @p77 (forall @t4 (or @t55 @t47 @t54))) % 1.63/1.87 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 1.63/1.87 (assume @p79 (forall @t4 (or @t55 @t47 @t56))) % 1.63/1.87 (assume @p80 (forall @t4 (or (not @t56) @t47 @t51))) % 1.63/1.87 (assume @p81 (forall @t4 (or @t55 @t47 @t57))) % 1.63/1.87 (assume @p82 (forall @t4 (or (not @t57) @t47 @t51))) % 1.63/1.87 (assume @p83 (forall @t41 (or @t47 @t59 (tptp.ssList @t58)))) % 1.63/1.87 (assume @p84 (forall @t41 (or @t46 @t59 (tptp.ssList @t60)))) % 1.63/1.87 (assume @p85 (forall @t4 (or @t47 @t61 (tptp.leq @t37 @t38)))) % 1.63/1.87 (assume @p86 (forall @t4 (or @t47 @t61 (tptp.leq @t38 @t37)))) % 1.63/1.87 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t62))) % 1.63/1.87 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t63))) % 1.63/1.87 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t64))) % 1.63/1.87 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t65))) % 1.63/1.87 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t65))) % 1.63/1.87 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t66))) % 1.63/1.87 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t66))) % 1.63/1.87 (assume @p94 @t69) % 1.63/1.87 (assume @p95 @t72) % 1.63/1.87 (assume @p96 @t75) % 1.63/1.87 (assume @p97 (forall @t41 (or (not (= @t60 @t40)) @t46 @t59))) % 1.63/1.87 (assume @p98 @t79) % 1.63/1.87 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 1.63/1.87 (assume @p100 (forall @t41 (or @t46 @t80 @t77 @t76))) % 1.63/1.87 (assume @p101 (forall @t41 (or @t83 @t80 @t46 @t81))) % 1.63/1.87 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 1.63/1.87 (assume @p103 (forall @t41 (or @t85 @t80 @t46 @t84))) % 1.63/1.87 (assume @p104 (forall @t41 (or @t83 @t46 @t80 @t86))) % 1.63/1.87 (assume @p105 (forall @t41 (or @t88 @t80 @t46 @t87))) % 1.63/1.87 (assume @p106 (forall @t41 (or @t90 @t46 @t80 @t89))) % 1.63/1.87 (assume @p107 @t93) % 1.63/1.87 (assume @p108 (forall @t41 (or @t85 (not @t86) @t46 @t80))) % 1.63/1.87 (assume @p109 (forall @t41 (or @t95 @t83 @t80 @t46))) % 1.63/1.87 (assume @p110 (forall @t41 (or @t55 @t47 @t80 (tptp.strictorderedP @t96)))) % 1.63/1.87 (assume @p111 (forall @t41 (or @t55 @t47 @t80 (tptp.totalorderedP @t96)))) % 1.63/1.87 (assume @p112 (forall @t41 (or @t83 (not @t84) @t46 @t80))) % 1.63/1.87 (assume @p113 @t99) % 1.63/1.87 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t59 (tptp.singletonP @t40)))) % 1.63/1.87 (assume @p115 (forall @t41 (or @t95 @t97 @t80 @t46))) % 1.63/1.87 (assume @p116 (forall @t41 (or @t102 @t59 @t47 @t51))) % 1.63/1.87 (assume @p117 (forall @t41 (or @t102 @t59 @t47 @t103))) % 1.63/1.87 (assume @p118 (forall @t41 (or @t46 @t59 (= (tptp.app @t48 @t40) @t60)))) % 1.63/1.87 (assume @p119 (forall @t41 (or @t90 @t80 @t46 @t82 @t94))) % 1.63/1.87 (assume @p120 (forall @t41 (or @t47 @t59 @t103 (= (tptp.hd @t58) @t104)))) % 1.63/1.87 (assume @p121 (forall @t41 (or @t107 @t59 @t46 @t105 @t103))) % 1.63/1.87 (assume @p122 (forall @t41 (or @t110 @t59 @t46 @t108 @t103))) % 1.63/1.87 (assume @p123 (forall @t41 (or @t88 (not @t89) @t46 @t80 @t76))) % 1.63/1.87 (assume @p124 (forall @t41 (or @t111 (not (tptp.segmentP @t40 @t2)) @t47 @t59 @t76))) % 1.63/1.87 (assume @p125 (forall @t41 (or @t112 (not (tptp.rearsegP @t40 @t2)) @t47 @t59 @t76))) % 1.63/1.87 (assume @p126 (forall @t41 (or @t113 (not (tptp.frontsegP @t40 @t2)) @t47 @t59 @t76))) % 1.63/1.87 (assume @p127 (forall @t41 (or @t90 @t114 @t46 @t80 @t76))) % 1.63/1.87 (assume @p128 (forall @t41 (or @t112 @t59 @t47 (= (tptp.app @t43 @t40) @t2)))) % 1.63/1.87 (assume @p129 (forall @t41 (or @t113 @t59 @t47 (= (tptp.app @t40 @t44) @t2)))) % 1.63/1.87 (assume @p130 (forall @t41 (or @t47 @t59 @t103 (= (tptp.tl @t58) (tptp.app @t115 @t2))))) % 1.63/1.87 (assume @p131 (forall @t41 (or @t107 @t59 @t46 @t116 @t103))) % 1.63/1.87 (assume @p132 (forall @t41 (or @t110 @t59 @t46 @t117 @t103))) % 1.63/1.87 (assume @p133 (forall @t121 (or @t112 @t120 @t59 @t47 (tptp.rearsegP @t119 @t40)))) % 1.63/1.87 (assume @p134 (forall @t121 (or @t113 @t120 @t59 @t47 (tptp.frontsegP @t122 @t40)))) % 1.63/1.87 (assume @p135 (forall @t121 (or @t95 @t120 @t80 @t46 (tptp.memberP @t123 @t2)))) % 1.63/1.87 (assume @p136 (forall @t121 (or @t126 @t47 @t125 @t80 (tptp.memberP @t124 @t40)))) % 1.63/1.87 (assume @p137 (forall @t121 (or @t126 @t120 @t47 @t80 (tptp.memberP @t122 @t40)))) % 1.63/1.87 (assume @p138 (forall @t121 (or @t126 @t47 @t120 @t80 (tptp.memberP @t119 @t40)))) % 1.63/1.87 (assume @p139 (forall @t4 (or @t47 @t62 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 1.63/1.87 (assume @p140 (forall @t121 (or @t127 @t47 @t59 @t120 (tptp.rearsegP @t118 @t40)))) % 1.63/1.87 (assume @p141 (forall @t121 (or @t127 @t59 @t47 @t120 (tptp.frontsegP @t118 @t2)))) % 1.63/1.87 (assume @p142 (forall @t41 (or @t55 (not @t103) @t59 @t47 @t101))) % 1.63/1.87 (assume @p143 (forall @t121 (or @t85 (not (tptp.gt @t40 @t118)) @t125 @t80 @t46 (tptp.gt @t2 @t118)))) % 1.63/1.87 (assume @p144 (forall @t121 (or @t90 @t129 @t125 @t80 @t46 @t128))) % 1.63/1.87 (assume @p145 (forall @t121 (or @t88 (not (tptp.geq @t40 @t118)) @t125 @t80 @t46 (tptp.geq @t2 @t118)))) % 1.63/1.87 (assume @p146 (forall @t121 (or @t47 @t59 @t120 (= (tptp.app @t130 @t2) (tptp.app @t118 @t58))))) % 1.63/1.87 (assume @p147 (forall @t121 (or (not (= @t100 @t122)) @t59 @t47 @t120 @t131))) % 1.63/1.87 (assume @p148 (forall @t121 (or (not (= @t100 @t130)) @t47 @t59 @t120 @t132))) % 1.63/1.87 (assume @p149 (forall @t121 (or @t111 (not (tptp.segmentP @t40 @t118)) @t120 @t59 @t47 (tptp.segmentP @t2 @t118)))) % 1.63/1.87 (assume @p150 (forall @t121 (or @t112 (not (tptp.rearsegP @t40 @t118)) @t120 @t59 @t47 (tptp.rearsegP @t2 @t118)))) % 1.63/1.87 (assume @p151 (forall @t121 (or @t113 (not (tptp.frontsegP @t40 @t118)) @t120 @t59 @t47 (tptp.frontsegP @t2 @t118)))) % 1.63/1.87 (assume @p152 (forall @t121 (or @t83 @t129 @t125 @t80 @t46 @t128))) % 1.63/1.87 (assume @p153 (forall @t121 (or @t90 (not (tptp.leq @t40 @t118)) @t125 @t80 @t46 (tptp.leq @t2 @t118)))) % 1.63/1.87 (assume @p154 (forall @t121 (or @t46 @t59 @t120 (= (tptp.cons @t2 (tptp.app @t40 @t118)) (tptp.app @t60 @t118))))) % 1.63/1.87 (assume @p155 (forall @t121 (or (not (tptp.memberP @t100 @t118)) @t59 @t47 @t125 @t133 (tptp.memberP @t2 @t118)))) % 1.63/1.87 (assume @p156 (forall @t41 (or (not @t117) (not @t108) @t59 @t46 @t109 @t103))) % 1.63/1.87 (assume @p157 (forall @t41 (or (not @t116) (not @t105) @t59 @t46 @t106 @t103))) % 1.63/1.87 (assume @p158 (forall @t121 (or (not (tptp.memberP @t60 @t118)) @t59 @t46 @t125 @t133 (= @t118 @t2)))) % 1.63/1.87 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 1.63/1.87 (assume @p160 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 1.63/1.87 (assume @p161 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 1.63/1.87 (assume @p162 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 1.63/1.87 (assume @p163 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 1.63/1.87 (assume @p164 (forall @t4 (or @t47 @t61 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 1.63/1.87 (assume @p165 (forall @t41 (or @t111 @t59 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 1.63/1.87 (assume @p166 (forall @t41 (or @t126 @t80 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 1.63/1.87 (assume @p167 (forall @t138 (or @t137 @t125 @t46 @t135 @t59 @t132))) % 1.63/1.87 (assume @p168 (forall @t138 (or @t137 @t125 @t46 @t135 @t59 (= @t134 @t40)))) % 1.63/1.87 (assume @p169 (forall @t138 (or @t111 @t120 @t135 @t59 @t47 (tptp.segmentP (tptp.app (tptp.app @t134 @t2) @t118) @t40)))) % 1.63/1.87 (assume @p170 (forall @t138 (or (not (= (tptp.app @t100 @t118) @t134)) @t120 @t47 @t59 @t135 (tptp.segmentP @t134 @t40)))) % 1.63/1.87 (assume @p171 (forall @t138 (or @t139 @t135 @t59 @t125 @t46 (tptp.frontsegP @t40 @t134)))) % 1.63/1.87 (assume @p172 (forall @t138 (or (not (= @t140 @t134)) @t120 @t47 @t80 @t135 (tptp.memberP @t134 @t40)))) % 1.63/1.87 (assume @p173 (forall @t138 (or @t139 @t135 @t59 @t125 @t46 @t132))) % 1.63/1.87 (assume @p174 (forall @t41 (or (not (= @t52 @t115)) (not (= @t53 @t104)) @t47 @t59 @t103 @t94 @t51))) % 1.63/1.87 (assume @p175 @t146) % 1.63/1.87 (assume @p176 (forall @t149 (or (not (= (tptp.app @t140 (tptp.cons @t40 @t134)) @t147)) @t135 @t120 @t47 @t80 (not (tptp.duplicatefreeP @t147)) @t148))) % 1.63/1.87 (assume @p177 (forall @t149 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t136)) @t147)) @t135 @t47 @t125 @t80 (not (tptp.equalelemsP @t147)) @t148 @t131))) % 1.63/1.87 (assume @p178 (forall @t154 (or @t153 @t148 @t120 @t47 @t143 @t80 (not (tptp.strictorderedP @t151)) @t152 @t150))) % 1.63/1.87 (assume @p179 (forall @t154 (or @t153 @t148 @t120 @t47 @t143 @t80 (not (tptp.totalorderedP @t151)) @t152 @t155))) % 1.63/1.87 (assume @p180 (forall @t154 (or @t153 @t148 @t120 @t47 @t143 @t80 (not (tptp.strictorderP @t151)) @t152 @t150 (tptp.lt @t134 @t40)))) % 1.63/1.87 (assume @p181 (forall @t154 (or @t153 @t148 @t120 @t47 @t143 @t80 (not (tptp.totalorderP @t151)) @t152 @t155 (tptp.leq @t134 @t40)))) % 1.63/1.87 (assume @p182 (forall @t154 (or @t90 @t114 (not (= (tptp.app (tptp.app @t118 (tptp.cons @t2 @t134)) (tptp.cons @t40 @t147)) @t151)) @t148 @t135 @t120 @t80 @t46 (not (tptp.cyclefreeP @t151)) @t152))) % 1.63/1.87 (assume @p183 @t156) % 1.63/1.87 (assume @p184 @t157) % 1.63/1.87 (assume @p185 (tptp.ssList tptp.sk3)) % 1.63/1.87 (assume @p186 @t158) % 1.63/1.87 (assume @p187 @t159) % 1.63/1.87 (assume @p188 @t160) % 1.63/1.87 (assume @p189 @t162) % 1.63/1.87 (assume @p190 (or @t161 @t164)) % 1.63/1.87 (assume @p191 (forall @t170 (or @t169 @t168 @t167 @t166 @t161))) % 1.63/1.87 (assume @p192 (forall @t180 (or @t169 @t179 @t178 @t177 @t175 @t172 @t161))) % 1.63/1.87 (assume @p193 @t182) % 1.63/1.87 (assume @p194 @t184) % 1.63/1.87 (step @p195 :rule instantiate :premises (@p12) :args (@t185)) % 1.63/1.87 (step @p196 :rule instantiate :premises (@p13) :args (@t185)) % 1.63/1.87 (step @p197 :rule aci_norm :args ((= (or @t113 false @t59 @t47 @t143 @t143 @t186) (or @t113 @t59 @t47 @t143 @t186)))) % 1.63/1.87 (step @p198 :rule refl :args (@t186)) % 1.63/1.87 (step @p199 :rule refl :args (@t143)) % 1.63/1.87 (step @p200 :rule refl :args (@t47)) % 1.63/1.87 (step @p201 :rule refl :args (@t59)) % 1.63/1.87 (step @p202 :rule evaluate :args ((not true))) % 1.63/1.87 (step @p203 :rule eq-refl :args (@t134)) % 1.63/1.87 (step @p204 :rule cong :premises (@p203) :args (@t187)) % 1.63/1.87 (step @p205 :rule trans :premises (@p204 @p202)) % 1.63/1.87 (step @p206 :rule refl :args (@t113)) % 1.63/1.87 (step @p207 :rule nary_cong :premises (@p206 @p205 @p201 @p200 @p199 @p199 @p198) :args (@t188)) % 1.63/1.87 (step @p208 :rule trans :premises (@p207 @p197)) % 1.63/1.87 (step @p209 :rule cong :premises (@p208) :args ((forall @t189 @t188))) % 1.63/1.87 (step @p210 :rule quant-var-elim-eq :args ((= (forall @t191 @t190) @t188))) % 1.63/1.87 (step @p211 :rule aci_norm :args ((= @t145 @t190))) % 1.63/1.87 (step @p212 :rule cong :premises (@p211) :args (@t192)) % 1.63/1.87 (step @p213 :rule trans :premises (@p212 @p210)) % 1.63/1.87 (step @p214 :rule cong :premises (@p213) :args (@t193)) % 1.63/1.87 (step @p215 :rule quant-merge-prenex :args ((= @t193 @t194))) % 1.63/1.87 (step @p216 :rule symm :premises (@p215)) % 1.63/1.87 (step @p217 :rule quant_var_reordering :args ((= @t146 @t194))) % 1.63/1.87 (step @p218 :rule trans :premises (@p217 @p216 @p214)) % 1.63/1.87 (step @p219 :rule trans :premises (@p218 @p209)) % 1.63/1.87 (step @p220 :rule eq_resolve :premises (@p175 @p219)) % 1.63/1.87 (step @p221 :rule instantiate :premises (@p220) :args ((@list @t196 tptp.nil @t195))) % 1.63/1.87 (step @p222 :rule eq-symm :args (@t70 @t2)) % 1.63/1.87 (step @p223 :rule refl :args (@t46)) % 1.63/1.87 (step @p224 :rule nary_cong :premises (@p223 @p201 @p222) :args (@t71)) % 1.63/1.87 (step @p225 :rule cong :premises (@p224) :args (@t72)) % 1.63/1.87 (step @p226 :rule eq_resolve :premises (@p95 @p225)) % 1.63/1.87 (step @p227 :rule instantiate :premises (@p226) :args (@t197)) % 1.63/1.87 (step @p228 :rule cnf_or_pos :args (@t205)) % 1.63/1.87 (step @p229 :rule reordering :premises (@p228) :args ((or @t204 @t202 @t200 (not @t205)))) % 1.63/1.87 (step @p230 :rule chain_m_resolution :premises (@p229 @p195 @p196 @p227) :args (@t200 @t206 (@list @t203 @t201 @t205))) % 1.63/1.87 (step @p231 :rule refl :args (@t51)) % 1.63/1.87 (step @p232 :rule eq-symm :args (@t91 @t2)) % 1.63/1.87 (step @p233 :rule nary_cong :premises (@p200 @p232 @p231) :args (@t92)) % 1.63/1.87 (step @p234 :rule cong :premises (@p233) :args (@t93)) % 1.63/1.87 (step @p235 :rule eq_resolve :premises (@p107 @p234)) % 1.63/1.87 (step @p236 :rule instantiate :premises (@p235) :args (@t185)) % 1.63/1.87 (step @p237 :rule aci_norm :args ((= (or false @t207 @t59 @t59) (or @t207 @t59)))) % 1.63/1.87 (step @p238 :rule refl :args (@t207)) % 1.63/1.87 (step @p239 :rule eq-refl :args (@t40)) % 1.63/1.87 (step @p240 :rule cong :premises (@p239) :args (@t208)) % 1.63/1.87 (step @p241 :rule trans :premises (@p240 @p202)) % 1.63/1.87 (step @p242 :rule nary_cong :premises (@p241 @p238 @p201 @p201) :args (@t209)) % 1.63/1.87 (step @p243 :rule trans :premises (@p242 @p237)) % 1.63/1.87 (step @p244 :rule cong :premises (@p243) :args ((forall @t210 @t209))) % 1.63/1.87 (step @p245 :rule quant-var-elim-eq :args ((= (forall @t4 @t211) @t209))) % 1.63/1.87 (step @p246 :rule aci_norm :args ((= @t98 @t211))) % 1.63/1.87 (step @p247 :rule cong :premises (@p246) :args (@t212)) % 1.63/1.87 (step @p248 :rule trans :premises (@p247 @p245)) % 1.63/1.87 (step @p249 :rule cong :premises (@p248) :args (@t213)) % 1.63/1.87 (step @p250 :rule quant-merge-prenex :args ((= @t213 @t214))) % 1.63/1.87 (step @p251 :rule symm :premises (@p250)) % 1.63/1.87 (step @p252 :rule quant_var_reordering :args ((= @t99 @t214))) % 1.63/1.87 (step @p253 :rule trans :premises (@p252 @p251 @p249)) % 1.63/1.87 (step @p254 :rule trans :premises (@p253 @p244)) % 1.63/1.87 (step @p255 :rule eq_resolve :premises (@p113 @p254)) % 1.63/1.87 (step @p256 :rule instantiate :premises (@p255) :args (@t185)) % 1.63/1.87 (step @p257 :rule cnf_or_pos :args (@t218)) % 1.63/1.87 (step @p258 :rule reordering :premises (@p257) :args ((or @t215 @t217 (not @t218)))) % 1.63/1.87 (step @p259 :rule chain_m_resolution :premises (@p258 @p184 @p256) :args (@t217 @t219 (@list @t157 @t218))) % 1.63/1.87 (step @p260 :rule aci_norm :args ((= @t162 @t161))) % 1.63/1.87 (step @p261 :rule eq_resolve :premises (@p189 @p260)) % 1.63/1.87 (step @p262 :rule bool-double-not-elim :args (@t216)) % 1.63/1.87 (step @p263 :rule refl :args (@t221)) % 1.63/1.87 (step @p264 :rule refl :args (@t222)) % 1.63/1.87 (step @p265 :rule refl :args (@t223)) % 1.63/1.87 (step @p266 :rule nary_cong :premises (@p265 @p264 @p263 @p262) :args ((or @t223 @t222 @t221 (not @t217)))) % 1.63/1.87 (assume-push @p604 @t161) % 1.63/1.87 (assume-push @p605 @t159) % 1.63/1.87 (assume-push @p606 @t220) % 1.63/1.87 (assume-push @p607 @t217) % 1.63/1.87 (step @p271 :rule evaluate :args ((= false true))) % 1.63/1.87 (step @p272 :rule true_intro :premises (@p261)) % 1.63/1.87 (step @p273 :rule refl :args (tptp.nil)) % 1.63/1.87 (step @p274 :rule symm :premises (@p187)) % 1.63/1.87 (step @p275 :rule cong :premises (@p274 @p273) :args (@t163)) % 1.63/1.87 (step @p276 :rule symm :premises (@p606)) % 1.63/1.87 (step @p277 :rule cong :premises (@p187 @p276) :args (@t216)) % 1.63/1.87 (step @p278 :rule false_intro :premises (@p259)) % 1.63/1.87 (step @p279 :rule symm :premises (@p278)) % 1.63/1.87 (step @p280 :rule trans :premises (@p279 @p277 @p275 @p272)) % 1.63/1.87 (step @p281 false :rule eq_resolve :premises (@p280 @p271)) % 1.63/1.87 (step-pop @p608 :rule scope :premises (@p281)) % 1.63/1.87 (step-pop @p609 :rule scope :premises (@p608)) % 1.63/1.87 (step-pop @p610 :rule scope :premises (@p609)) % 1.63/1.87 (step-pop @p611 :rule scope :premises (@p610)) % 1.63/1.87 (step @p282 :rule process_scope :premises (@p611) :args (false)) % 1.63/1.87 (assume-push @p612 @t159) % 1.63/1.87 (assume-push @p613 @t161) % 1.63/1.87 (assume-push @p614 @t220) % 1.63/1.87 (assume-push @p615 @t217) % 1.63/1.87 (step @p291 :rule and_intro :premises (@p261 @p187 @p614 @p259)) % 1.63/1.87 (step-pop @p616 :rule scope :premises (@p291)) % 1.63/1.87 (step-pop @p617 :rule scope :premises (@p616)) % 1.63/1.87 (step-pop @p618 :rule scope :premises (@p617)) % 1.63/1.87 (step-pop @p619 :rule scope :premises (@p618)) % 1.63/1.87 (step @p292 :rule process_scope :premises (@p619) :args (@t224)) % 1.63/1.87 (step @p297 :rule implies_elim :premises (@p292)) % 1.63/1.87 (step @p298 :rule resolution :premises (@p297 @p282) :args (true @t224)) % 1.63/1.87 (step @p299 :rule not_and :premises (@p298)) % 1.63/1.87 (step @p300 :rule eq_resolve :premises (@p299 @p266)) % 1.63/1.87 (step @p301 :rule reordering 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(@p672)) % 1.63/1.87 (step @p539 :rule process_scope :premises (@p673) :args (@t296)) % 1.63/1.87 (step @p546 :rule implies_elim :premises (@p539)) % 1.63/1.87 (step @p547 :rule cnf_and_neg :args (@t299)) % 1.63/1.87 (step @p548 :rule resolution :premises (@p547 @p546) :args (true @t299)) % 1.63/1.87 (step @p549 :rule eq_resolve :premises (@p548 @p505)) % 1.63/1.87 (step @p550 :rule reordering :premises (@p549) :args ((or @t223 @t285 @t284 @t290 @t298 @t297 @t296))) % 1.63/1.87 (step @p551 :rule chain_m_resolution :premises (@p550 @p187 @p188 @p462 @p500 @p305 @p230) :args (@t296 (@list false false false true false false) (@list @t159 @t160 @t258 @t290 @t226 @t200))) % 1.63/1.87 (step @p552 :rule instantiate :premises (@p60) :args ((@list @t300))) % 1.63/1.87 (step @p553 :rule instantiate :premises (@p75) :args ((@list tptp.sk4))) % 1.63/1.87 (step @p554 :rule cnf_or_pos :args (@t302)) % 1.63/1.87 (step @p555 :rule reordering :premises (@p554) :args ((or @t250 @t253 @t301 (not @t302)))) % 1.63/1.87 (step @p556 :rule chain_m_resolution :premises (@p555 @p186 @p401 @p553) :args (@t301 @t228 (@list @t158 @t253 @t302))) % 1.63/1.87 (step @p557 :rule cnf_or_pos :args (@t305)) % 1.63/1.87 (step @p558 :rule reordering :premises (@p557) :args ((or @t304 @t303 (not @t305)))) % 1.63/1.87 (step @p559 :rule chain_m_resolution :premises (@p558 @p556 @p552) :args (@t303 @t219 (@list @t301 @t305))) % 1.63/1.87 (step @p560 :rule eq-symm :args (@t67 @t40)) % 1.63/1.87 (step @p561 :rule nary_cong :premises (@p223 @p201 @p560) :args (@t68)) % 1.63/1.87 (step @p562 :rule cong :premises (@p561) :args (@t69)) % 1.63/1.87 (step @p563 :rule eq_resolve :premises (@p94 @p562)) % 1.63/1.87 (step @p564 :rule instantiate :premises (@p563) :args (@t197)) % 1.63/1.87 (step @p565 :rule cnf_or_pos :args (@t308)) % 1.63/1.87 (step @p566 :rule reordering :premises (@p565) :args ((or @t204 @t202 @t307 (not @t308)))) % 1.63/1.87 (step @p567 :rule chain_m_resolution :premises (@p566 @p195 @p196 @p564) :args (@t307 @t206 (@list @t203 @t201 @t308))) % 1.63/1.87 (assume-push @p674 @t159) % 1.63/1.87 (assume-push @p675 @t226) % 1.63/1.87 (assume-push @p676 @t307) % 1.63/1.87 (assume-push @p677 @t303) % 1.63/1.87 (assume-push @p678 @t303) % 1.63/1.87 (assume-push @p679 @t159) % 1.63/1.87 (assume-push @p680 @t226) % 1.63/1.87 (assume-push @p681 @t307) % 1.63/1.87 (step @p576 :rule true_intro :premises (@p677)) % 1.63/1.87 (step @p577 :rule symm :premises (@p675)) % 1.63/1.87 (step @p578 :rule trans :premises (@p577 @p187)) % 1.63/1.87 (step @p579 :rule cong :premises (@p578) :args (@t306)) % 1.63/1.87 (step @p580 :rule trans :premises (@p567 @p579)) % 1.63/1.87 (step @p581 :rule cong :premises (@p580 @p273) :args (@t309)) % 1.63/1.87 (step @p582 :rule trans :premises (@p581 @p576)) % 1.63/1.87 (step @p583 :rule true_elim :premises (@p582)) % 1.63/1.87 (step-pop @p682 :rule scope :premises (@p583)) % 1.63/1.87 (step-pop @p683 :rule scope :premises (@p682)) % 1.63/1.87 (step-pop @p684 :rule scope :premises (@p683)) % 1.63/1.87 (step-pop @p685 :rule scope :premises (@p684)) % 1.63/1.87 (step @p584 :rule process_scope :premises (@p685) :args (@t309)) % 1.63/1.87 (step @p589 :rule and_intro :premises (@p677 @p187 @p675 @p567)) % 1.63/1.87 (step @p590 :rule modus_ponens :premises (@p589 @p584)) % 1.63/1.87 (step-pop @p686 :rule scope :premises (@p590)) % 1.63/1.87 (step-pop @p687 :rule scope :premises (@p686)) % 1.63/1.87 (step-pop @p688 :rule scope :premises (@p687)) % 1.63/1.87 (step-pop @p689 :rule scope :premises (@p688)) % 1.63/1.87 (step @p591 :rule process_scope :premises (@p689) :args (@t309)) % 1.63/1.87 (step @p596 :rule implies_elim :premises (@p591)) % 1.63/1.87 (step @p597 :rule cnf_and_neg :args (@t310)) % 1.63/1.87 (step @p598 :rule resolution :premises (@p597 @p596) :args (true @t310)) % 1.63/1.87 (step @p599 :rule reordering :premises (@p598) :args ((or @t223 @t298 (not @t307) @t309 (not @t303)))) % 1.63/1.87 (step @p600 :rule chain_m_resolution :premises (@p599 @p187 @p305 @p567 @p559) :args (@t309 @t281 (@list @t159 @t226 @t307 @t303))) % 1.63/1.87 (step @p601 :rule cnf_or_pos :args (@t312)) % 1.63/1.87 (step @p602 :rule reordering :premises (@p601) :args ((or @t242 @t204 @t202 @t311 @t295 (not @t312)))) % 1.63/1.87 (step @p603 false :rule chain_m_resolution :premises (@p602 @p600 @p551 @p221 @p196 @p195 @p8) :args (false (@list false true false false false false) (@list @t309 @t295 @t312 @t201 @t203 @t1))) % 1.63/1.87 ) % 1.63/1.87 % SZS output end Proof % 1.63/1.88 % cvc5 exiting %------------------------------------------------------------------------------