%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC070-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:55 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.89s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC070-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:12:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.89 % SZS status Unsatisfiable % 0.37/0.89 % SZS output start Proof % 0.37/0.90 ( % 0.37/0.90 (declare-sort $$unsorted 0) % 0.37/0.90 (declare-const tptp.sk4 $$unsorted) % 0.37/0.90 (declare-const tptp.sk2 $$unsorted) % 0.37/0.90 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.nil $$unsorted) % 0.37/0.90 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.sk1 $$unsorted) % 0.37/0.90 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.skac2 $$unsorted) % 0.37/0.90 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.sk3 $$unsorted) % 0.37/0.90 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skac3 $$unsorted) % 0.37/0.90 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.90 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.90 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.90 (define @t1 () (tptp.ssList tptp.nil)) % 0.37/0.90 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.90 (define @t3 () (tptp.skaf83 @t2)) % 0.37/0.90 (define @t4 () (@list @t2)) % 0.37/0.90 (define @t5 () (tptp.skaf82 @t2)) % 0.37/0.90 (define @t6 () (tptp.skaf81 @t2)) % 0.37/0.90 (define @t7 () (tptp.skaf80 @t2)) % 0.37/0.90 (define @t8 () (tptp.skaf79 @t2)) % 0.37/0.90 (define @t9 () (tptp.skaf78 @t2)) % 0.37/0.90 (define @t10 () (tptp.skaf77 @t2)) % 0.37/0.90 (define @t11 () (tptp.skaf76 @t2)) % 0.37/0.90 (define @t12 () (tptp.skaf75 @t2)) % 0.37/0.90 (define @t13 () (tptp.skaf74 @t2)) % 0.37/0.90 (define @t14 () (tptp.skaf73 @t2)) % 0.37/0.90 (define @t15 () (tptp.skaf72 @t2)) % 0.37/0.90 (define @t16 () (tptp.skaf71 @t2)) % 0.37/0.90 (define @t17 () (tptp.skaf70 @t2)) % 0.37/0.90 (define @t18 () (tptp.skaf69 @t2)) % 0.37/0.90 (define @t19 () (tptp.skaf68 @t2)) % 0.37/0.90 (define @t20 () (tptp.skaf67 @t2)) % 0.37/0.90 (define @t21 () (tptp.skaf66 @t2)) % 0.37/0.90 (define @t22 () (tptp.skaf65 @t2)) % 0.37/0.90 (define @t23 () (tptp.skaf64 @t2)) % 0.37/0.90 (define @t24 () (tptp.skaf63 @t2)) % 0.37/0.90 (define @t25 () (tptp.skaf62 @t2)) % 0.37/0.90 (define @t26 () (tptp.skaf61 @t2)) % 0.37/0.90 (define @t27 () (tptp.skaf60 @t2)) % 0.37/0.90 (define @t28 () (tptp.skaf59 @t2)) % 0.37/0.90 (define @t29 () (tptp.skaf58 @t2)) % 0.37/0.90 (define @t30 () (tptp.skaf57 @t2)) % 0.37/0.90 (define @t31 () (tptp.skaf56 @t2)) % 0.37/0.90 (define @t32 () (tptp.skaf55 @t2)) % 0.37/0.90 (define @t33 () (tptp.skaf54 @t2)) % 0.37/0.90 (define @t34 () (tptp.skaf53 @t2)) % 0.37/0.90 (define @t35 () (tptp.skaf52 @t2)) % 0.37/0.90 (define @t36 () (tptp.skaf51 @t2)) % 0.37/0.90 (define @t37 () (tptp.skaf50 @t2)) % 0.37/0.90 (define @t38 () (tptp.skaf49 @t2)) % 0.37/0.90 (define @t39 () (tptp.skaf44 @t2)) % 0.37/0.90 (define @t40 () (@var "V" $$unsorted)) % 0.37/0.90 (define @t41 () (@list @t2 @t40)) % 0.37/0.90 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.37/0.90 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.37/0.90 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.37/0.90 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.37/0.90 (define @t46 () (not (tptp.ssItem @t2))) % 0.37/0.90 (define @t47 () (not (tptp.ssList @t2))) % 0.37/0.90 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.37/0.90 (define @t49 () (tptp.ssItem @t40)) % 0.37/0.90 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.37/0.90 (define @t51 () (tptp.app tptp.nil @t2)) % 0.37/0.90 (define @t52 () (or @t47 (= @t51 @t2))) % 0.37/0.90 (define @t53 () (forall @t4 @t52)) % 0.37/0.90 (define @t54 () (= tptp.nil @t2)) % 0.37/0.90 (define @t55 () (tptp.tl @t2)) % 0.37/0.90 (define @t56 () (tptp.hd @t2)) % 0.37/0.90 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 0.37/0.90 (define @t58 () (not @t54)) % 0.37/0.90 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 0.37/0.90 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 0.37/0.90 (define @t61 () (tptp.app @t40 @t2)) % 0.37/0.90 (define @t62 () (not (tptp.ssList @t40))) % 0.37/0.90 (define @t63 () (tptp.cons @t2 @t40)) % 0.37/0.90 (define @t64 () (tptp.cyclefreeP @t2)) % 0.37/0.90 (define @t65 () (tptp.equalelemsP @t2)) % 0.37/0.90 (define @t66 () (tptp.strictorderedP @t2)) % 0.37/0.90 (define @t67 () (tptp.totalorderedP @t2)) % 0.37/0.90 (define @t68 () (tptp.strictorderP @t2)) % 0.37/0.90 (define @t69 () (tptp.totalorderP @t2)) % 0.37/0.90 (define @t70 () (= @t40 @t2)) % 0.37/0.90 (define @t71 () (tptp.neq @t40 @t2)) % 0.37/0.90 (define @t72 () (or @t47 @t62 @t71 @t70)) % 0.37/0.90 (define @t73 () (forall @t41 @t72)) % 0.37/0.90 (define @t74 () (not @t49)) % 0.37/0.90 (define @t75 () (tptp.leq @t2 @t40)) % 0.37/0.90 (define @t76 () (tptp.lt @t2 @t40)) % 0.37/0.90 (define @t77 () (not @t76)) % 0.37/0.90 (define @t78 () (tptp.lt @t40 @t2)) % 0.37/0.90 (define @t79 () (not (tptp.gt @t2 @t40))) % 0.37/0.90 (define @t80 () (tptp.gt @t40 @t2)) % 0.37/0.90 (define @t81 () (tptp.leq @t40 @t2)) % 0.37/0.90 (define @t82 () (not (tptp.geq @t2 @t40))) % 0.37/0.90 (define @t83 () (tptp.geq @t40 @t2)) % 0.37/0.90 (define @t84 () (not @t75)) % 0.37/0.90 (define @t85 () (= @t2 @t40)) % 0.37/0.90 (define @t86 () (not @t85)) % 0.37/0.90 (define @t87 () (tptp.cons @t40 @t2)) % 0.37/0.90 (define @t88 () (not (tptp.neq @t2 @t40))) % 0.37/0.90 (define @t89 () (or @t86 @t88 @t62 @t47)) % 0.37/0.90 (define @t90 () (forall @t41 @t89)) % 0.37/0.90 (define @t91 () (tptp.app @t2 @t40)) % 0.37/0.90 (define @t92 () (= @t91 tptp.nil)) % 0.37/0.90 (define @t93 () (not @t92)) % 0.37/0.90 (define @t94 () (= tptp.nil @t40)) % 0.37/0.90 (define @t95 () (tptp.hd @t40)) % 0.37/0.90 (define @t96 () (tptp.strictorderedP @t40)) % 0.37/0.90 (define @t97 () (tptp.strictorderedP @t63)) % 0.37/0.90 (define @t98 () (not @t97)) % 0.37/0.90 (define @t99 () (tptp.totalorderedP @t40)) % 0.37/0.90 (define @t100 () (tptp.totalorderedP @t63)) % 0.37/0.90 (define @t101 () (not @t100)) % 0.37/0.90 (define @t102 () (not (tptp.segmentP @t2 @t40))) % 0.37/0.90 (define @t103 () (not (tptp.rearsegP @t2 @t40))) % 0.37/0.90 (define @t104 () (not (tptp.frontsegP @t2 @t40))) % 0.37/0.90 (define @t105 () (not @t81)) % 0.37/0.90 (define @t106 () (tptp.app @t40 @t44)) % 0.37/0.90 (define @t107 () (or @t104 @t62 @t47 (= @t106 @t2))) % 0.37/0.90 (define @t108 () (forall @t41 @t107)) % 0.37/0.90 (define @t109 () (tptp.tl @t40)) % 0.37/0.90 (define @t110 () (tptp.lt @t2 @t95)) % 0.37/0.90 (define @t111 () (tptp.leq @t2 @t95)) % 0.37/0.90 (define @t112 () (@var "W" $$unsorted)) % 0.37/0.90 (define @t113 () (tptp.app @t112 @t2)) % 0.37/0.90 (define @t114 () (not (tptp.ssList @t112))) % 0.37/0.90 (define @t115 () (@list @t2 @t40 @t112)) % 0.37/0.90 (define @t116 () (tptp.app @t2 @t112)) % 0.37/0.90 (define @t117 () (tptp.cons @t40 @t112)) % 0.37/0.90 (define @t118 () (tptp.cons @t112 @t2)) % 0.37/0.90 (define @t119 () (not (tptp.ssItem @t112))) % 0.37/0.90 (define @t120 () (not (tptp.memberP @t2 @t40))) % 0.37/0.90 (define @t121 () (not (= @t91 @t112))) % 0.37/0.90 (define @t122 () (tptp.lt @t2 @t112)) % 0.37/0.90 (define @t123 () (not (tptp.lt @t40 @t112))) % 0.37/0.90 (define @t124 () (tptp.app @t112 @t40)) % 0.37/0.90 (define @t125 () (= @t40 @t112)) % 0.37/0.90 (define @t126 () (= @t2 @t112)) % 0.37/0.90 (define @t127 () (tptp.memberP @t40 @t112)) % 0.37/0.90 (define @t128 () (@var "X" $$unsorted)) % 0.37/0.90 (define @t129 () (not (tptp.ssList @t128))) % 0.37/0.90 (define @t130 () (tptp.cons @t112 @t128)) % 0.37/0.90 (define @t131 () (not (= @t63 @t130))) % 0.37/0.90 (define @t132 () (@list @t2 @t40 @t112 @t128)) % 0.37/0.90 (define @t133 () (not (tptp.frontsegP @t63 @t130))) % 0.37/0.90 (define @t134 () (tptp.app @t2 @t117)) % 0.37/0.90 (define @t135 () (not (tptp.ssItem @t128))) % 0.37/0.90 (define @t136 () (@var "Y" $$unsorted)) % 0.37/0.90 (define @t137 () (not (tptp.ssList @t136))) % 0.37/0.90 (define @t138 () (@list @t2 @t40 @t112 @t128 @t136)) % 0.37/0.90 (define @t139 () (tptp.lt @t40 @t128)) % 0.37/0.90 (define @t140 () (@var "Z" $$unsorted)) % 0.37/0.90 (define @t141 () (not (tptp.ssList @t140))) % 0.37/0.90 (define @t142 () (not (= (tptp.app @t134 (tptp.cons @t128 @t136)) @t140))) % 0.37/0.90 (define @t143 () (@list @t2 @t40 @t112 @t128 @t136 @t140)) % 0.37/0.90 (define @t144 () (tptp.leq @t40 @t128)) % 0.37/0.90 (define @t145 () (tptp.ssList tptp.sk1)) % 0.37/0.90 (define @t146 () (tptp.ssList tptp.sk2)) % 0.37/0.90 (define @t147 () (tptp.ssList tptp.sk3)) % 0.37/0.90 (define @t148 () (tptp.ssList tptp.sk4)) % 0.37/0.90 (define @t149 () (= tptp.sk2 tptp.sk4)) % 0.37/0.90 (define @t150 () (= tptp.sk1 tptp.sk3)) % 0.37/0.90 (define @t151 () (@var "A" $$unsorted)) % 0.37/0.90 (define @t152 () (= tptp.nil tptp.sk1)) % 0.37/0.90 (define @t153 () (not @t152)) % 0.37/0.90 (define @t154 () (= tptp.nil tptp.sk2)) % 0.37/0.90 (define @t155 () (tptp.neq tptp.sk3 tptp.nil)) % 0.37/0.90 (define @t156 () (= tptp.nil tptp.sk4)) % 0.37/0.90 (define @t157 () (tptp.frontsegP tptp.sk4 tptp.sk3)) % 0.37/0.90 (define @t158 () (= tptp.nil tptp.sk3)) % 0.37/0.90 (define @t159 () (@list tptp.sk1)) % 0.37/0.90 (define @t160 () (tptp.app tptp.nil tptp.sk1)) % 0.37/0.90 (define @t161 () (= tptp.sk1 @t160)) % 0.37/0.90 (define @t162 () (not @t145)) % 0.37/0.90 (define @t163 () (or @t162 @t161)) % 0.37/0.90 (define @t164 () (@list false false)) % 0.37/0.90 (define @t165 () (tptp.skaf45 tptp.sk4 tptp.sk3)) % 0.37/0.90 (define @t166 () (@list tptp.sk4 tptp.sk3)) % 0.37/0.90 (define @t167 () (tptp.segmentP tptp.sk1 tptp.sk1)) % 0.37/0.90 (define @t168 () (or @t162 @t167)) % 0.37/0.90 (define @t169 () (tptp.segmentP tptp.sk1 tptp.sk3)) % 0.37/0.90 (define @t170 () (tptp.app @t160 @t165)) % 0.37/0.90 (define @t171 () (tptp.segmentP @t170 tptp.sk3)) % 0.37/0.90 (define @t172 () (not @t147)) % 0.37/0.90 (define @t173 () (not @t1)) % 0.37/0.90 (define @t174 () (tptp.ssList @t165)) % 0.37/0.90 (define @t175 () (not @t174)) % 0.37/0.90 (define @t176 () (not @t169)) % 0.37/0.90 (define @t177 () (or @t176 @t175 @t173 @t172 @t162 @t171)) % 0.37/0.90 (define @t178 () (not (tptp.neq @t40 @t40))) % 0.37/0.90 (define @t179 () (not (= @t40 @t40))) % 0.37/0.90 (define @t180 () (or @t179 @t178 @t62 @t62)) % 0.37/0.90 (define @t181 () (@list @t40)) % 0.37/0.90 (define @t182 () (or @t86 @t86 @t88 @t62 @t47)) % 0.37/0.90 (define @t183 () (forall @t4 @t89)) % 0.37/0.90 (define @t184 () (forall @t181 @t183)) % 0.37/0.90 (define @t185 () (forall (@list @t40 @t2) @t89)) % 0.37/0.90 (define @t186 () (tptp.neq tptp.sk1 tptp.sk1)) % 0.37/0.90 (define @t187 () (not @t186)) % 0.37/0.90 (define @t188 () (or @t187 @t162)) % 0.37/0.90 (define @t189 () (not @t155)) % 0.37/0.90 (define @t190 () (not @t150)) % 0.37/0.90 (define @t191 () (= false true)) % 0.37/0.90 (define @t192 () (and @t155 @t150 @t152 @t187)) % 0.37/0.90 (define @t193 () (tptp.neq tptp.sk2 tptp.nil)) % 0.37/0.90 (define @t194 () (not @t146)) % 0.37/0.90 (define @t195 () (or @t173 @t194 @t193 @t154)) % 0.37/0.90 (define @t196 () (@list tptp.sk2)) % 0.37/0.90 (define @t197 () (tptp.segmentP tptp.sk2 tptp.sk2)) % 0.37/0.90 (define @t198 () (or @t194 @t197)) % 0.37/0.90 (define @t199 () (tptp.segmentP tptp.sk1 tptp.sk2)) % 0.37/0.90 (define @t200 () (not @t199)) % 0.37/0.90 (define @t201 () (not @t197)) % 0.37/0.90 (define @t202 () (not @t193)) % 0.37/0.90 (define @t203 () (or @t194 @t202 @t201 @t200)) % 0.37/0.90 (define @t204 () (tptp.segmentP tptp.sk1 tptp.nil)) % 0.37/0.90 (define @t205 () (or @t162 @t204)) % 0.37/0.90 (define @t206 () (not @t204)) % 0.37/0.90 (define @t207 () (not @t156)) % 0.37/0.90 (define @t208 () (not @t149)) % 0.37/0.90 (define @t209 () (and @t204 @t156 @t149 @t200)) % 0.37/0.90 (define @t210 () (not @t158)) % 0.37/0.90 (define @t211 () (and @t150 @t153)) % 0.37/0.90 (define @t212 () (@list true)) % 0.37/0.90 (define @t213 () (@list @t158)) % 0.37/0.90 (define @t214 () (tptp.segmentP tptp.sk2 tptp.sk3)) % 0.37/0.90 (define @t215 () (not @t214)) % 0.37/0.90 (define @t216 () (or @t172 @t189 @t215 @t176)) % 0.37/0.90 (define @t217 () (@list false false false false)) % 0.37/0.90 (define @t218 () (= tptp.sk4 (tptp.app tptp.sk3 @t165))) % 0.37/0.90 (define @t219 () (not @t148)) % 0.37/0.90 (define @t220 () (not @t157)) % 0.37/0.90 (define @t221 () (or @t220 @t172 @t219 @t218)) % 0.37/0.90 (define @t222 () (not @t171)) % 0.37/0.90 (define @t223 () (not @t218)) % 0.37/0.90 (define @t224 () (not @t161)) % 0.37/0.90 (define @t225 () (and @t215 @t149 @t218 @t150 @t161 @t171)) % 0.37/0.90 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.37/0.90 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.90 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.37/0.90 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.37/0.90 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.37/0.90 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.37/0.90 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.37/0.90 (assume @p8 @t1) % 0.37/0.90 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.37/0.90 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.37/0.90 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.37/0.90 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.37/0.90 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.37/0.90 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.37/0.90 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.37/0.90 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.37/0.90 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.37/0.90 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.37/0.90 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.37/0.90 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.37/0.90 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.37/0.90 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.37/0.90 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.37/0.90 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.37/0.90 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.37/0.90 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.37/0.90 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.37/0.90 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.37/0.90 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.37/0.90 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.37/0.90 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.37/0.90 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.37/0.90 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.37/0.90 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.37/0.90 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.37/0.90 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.37/0.90 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.37/0.90 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.37/0.90 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.37/0.90 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.37/0.90 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.37/0.90 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.37/0.90 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.37/0.90 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.37/0.90 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.37/0.90 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.37/0.90 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.37/0.90 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.37/0.90 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.37/0.90 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.37/0.90 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.37/0.90 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.37/0.90 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.37/0.90 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.37/0.90 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.37/0.90 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.37/0.90 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.37/0.90 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.37/0.90 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.37/0.90 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.90 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.37/0.90 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.37/0.90 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.37/0.90 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.37/0.90 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.37/0.90 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.37/0.90 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.37/0.90 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.37/0.90 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.37/0.90 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.37/0.90 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.37/0.90 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.37/0.90 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.37/0.90 (assume @p74 @t53) % 0.37/0.90 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 0.37/0.90 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 0.37/0.90 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 0.37/0.90 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 0.37/0.90 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 0.37/0.90 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 0.37/0.90 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 0.37/0.90 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 0.37/0.90 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 0.37/0.90 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 0.37/0.90 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 0.37/0.90 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 0.37/0.90 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 0.37/0.90 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 0.37/0.90 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 0.37/0.90 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 0.37/0.90 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 0.37/0.90 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 0.37/0.90 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 0.37/0.90 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 0.37/0.90 (assume @p95 (forall @t41 (or @t46 @t62 (= (tptp.hd @t63) @t2)))) % 0.37/0.90 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 0.37/0.90 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 0.37/0.90 (assume @p98 @t73) % 0.37/0.90 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.37/0.90 (assume @p100 (forall @t41 (or @t46 @t74 @t71 @t70))) % 0.37/0.90 (assume @p101 (forall @t41 (or @t77 @t74 @t46 @t75))) % 0.37/0.90 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 0.37/0.90 (assume @p103 (forall @t41 (or @t79 @t74 @t46 @t78))) % 0.37/0.90 (assume @p104 (forall @t41 (or @t77 @t46 @t74 @t80))) % 0.37/0.90 (assume @p105 (forall @t41 (or @t82 @t74 @t46 @t81))) % 0.37/0.90 (assume @p106 (forall @t41 (or @t84 @t46 @t74 @t83))) % 0.37/0.90 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 0.37/0.90 (assume @p108 (forall @t41 (or @t79 (not @t80) @t46 @t74))) % 0.37/0.90 (assume @p109 (forall @t41 (or @t86 @t77 @t74 @t46))) % 0.37/0.90 (assume @p110 (forall @t41 (or @t58 @t47 @t74 (tptp.strictorderedP @t87)))) % 0.37/0.90 (assume @p111 (forall @t41 (or @t58 @t47 @t74 (tptp.totalorderedP @t87)))) % 0.37/0.90 (assume @p112 (forall @t41 (or @t77 (not @t78) @t46 @t74))) % 0.37/0.90 (assume @p113 @t90) % 0.37/0.90 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 0.37/0.90 (assume @p115 (forall @t41 (or @t86 @t88 @t74 @t46))) % 0.37/0.90 (assume @p116 (forall @t41 (or @t93 @t62 @t47 @t54))) % 0.37/0.90 (assume @p117 (forall @t41 (or @t93 @t62 @t47 @t94))) % 0.37/0.90 (assume @p118 (forall @t41 (or @t46 @t62 (= (tptp.app @t48 @t40) @t63)))) % 0.37/0.90 (assume @p119 (forall @t41 (or @t84 @t74 @t46 @t76 @t85))) % 0.37/0.90 (assume @p120 (forall @t41 (or @t47 @t62 @t94 (= (tptp.hd @t61) @t95)))) % 0.37/0.90 (assume @p121 (forall @t41 (or @t98 @t62 @t46 @t96 @t94))) % 0.37/0.90 (assume @p122 (forall @t41 (or @t101 @t62 @t46 @t99 @t94))) % 0.37/0.90 (assume @p123 (forall @t41 (or @t82 (not @t83) @t46 @t74 @t70))) % 0.37/0.90 (assume @p124 (forall @t41 (or @t102 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t70))) % 0.37/0.90 (assume @p125 (forall @t41 (or @t103 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t70))) % 0.37/0.90 (assume @p126 (forall @t41 (or @t104 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t70))) % 0.37/0.90 (assume @p127 (forall @t41 (or @t84 @t105 @t46 @t74 @t70))) % 0.37/0.90 (assume @p128 (forall @t41 (or @t103 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.37/0.90 (assume @p129 @t108) % 0.37/0.90 (assume @p130 (forall @t41 (or @t47 @t62 @t94 (= (tptp.tl @t61) (tptp.app @t109 @t2))))) % 0.37/0.90 (assume @p131 (forall @t41 (or @t98 @t62 @t46 @t110 @t94))) % 0.37/0.90 (assume @p132 (forall @t41 (or @t101 @t62 @t46 @t111 @t94))) % 0.37/0.90 (assume @p133 (forall @t115 (or @t103 @t114 @t62 @t47 (tptp.rearsegP @t113 @t40)))) % 0.37/0.90 (assume @p134 (forall @t115 (or @t104 @t114 @t62 @t47 (tptp.frontsegP @t116 @t40)))) % 0.37/0.90 (assume @p135 (forall @t115 (or @t86 @t114 @t74 @t46 (tptp.memberP @t117 @t2)))) % 0.37/0.90 (assume @p136 (forall @t115 (or @t120 @t47 @t119 @t74 (tptp.memberP @t118 @t40)))) % 0.37/0.90 (assume @p137 (forall @t115 (or @t120 @t114 @t47 @t74 (tptp.memberP @t116 @t40)))) % 0.37/0.90 (assume @p138 (forall @t115 (or @t120 @t47 @t114 @t74 (tptp.memberP @t113 @t40)))) % 0.37/0.90 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.37/0.90 (assume @p140 (forall @t115 (or @t121 @t47 @t62 @t114 (tptp.rearsegP @t112 @t40)))) % 0.37/0.90 (assume @p141 (forall @t115 (or @t121 @t62 @t47 @t114 (tptp.frontsegP @t112 @t2)))) % 0.37/0.90 (assume @p142 (forall @t41 (or @t58 (not @t94) @t62 @t47 @t92))) % 0.37/0.90 (assume @p143 (forall @t115 (or @t79 (not (tptp.gt @t40 @t112)) @t119 @t74 @t46 (tptp.gt @t2 @t112)))) % 0.37/0.90 (assume @p144 (forall @t115 (or @t84 @t123 @t119 @t74 @t46 @t122))) % 0.37/0.90 (assume @p145 (forall @t115 (or @t82 (not (tptp.geq @t40 @t112)) @t119 @t74 @t46 (tptp.geq @t2 @t112)))) % 0.37/0.90 (assume @p146 (forall @t115 (or @t47 @t62 @t114 (= (tptp.app @t124 @t2) (tptp.app @t112 @t61))))) % 0.37/0.90 (assume @p147 (forall @t115 (or (not (= @t91 @t116)) @t62 @t47 @t114 @t125))) % 0.37/0.90 (assume @p148 (forall @t115 (or (not (= @t91 @t124)) @t47 @t62 @t114 @t126))) % 0.37/0.90 (assume @p149 (forall @t115 (or @t102 (not (tptp.segmentP @t40 @t112)) @t114 @t62 @t47 (tptp.segmentP @t2 @t112)))) % 0.37/0.90 (assume @p150 (forall @t115 (or @t103 (not (tptp.rearsegP @t40 @t112)) @t114 @t62 @t47 (tptp.rearsegP @t2 @t112)))) % 0.37/0.90 (assume @p151 (forall @t115 (or @t104 (not (tptp.frontsegP @t40 @t112)) @t114 @t62 @t47 (tptp.frontsegP @t2 @t112)))) % 0.37/0.90 (assume @p152 (forall @t115 (or @t77 @t123 @t119 @t74 @t46 @t122))) % 0.37/0.90 (assume @p153 (forall @t115 (or @t84 (not (tptp.leq @t40 @t112)) @t119 @t74 @t46 (tptp.leq @t2 @t112)))) % 0.37/0.90 (assume @p154 (forall @t115 (or @t46 @t62 @t114 (= (tptp.cons @t2 (tptp.app @t40 @t112)) (tptp.app @t63 @t112))))) % 0.37/0.90 (assume @p155 (forall @t115 (or (not (tptp.memberP @t91 @t112)) @t62 @t47 @t119 @t127 (tptp.memberP @t2 @t112)))) % 0.37/0.90 (assume @p156 (forall @t41 (or (not @t111) (not @t99) @t62 @t46 @t100 @t94))) % 0.37/0.90 (assume @p157 (forall @t41 (or (not @t110) (not @t96) @t62 @t46 @t97 @t94))) % 0.37/0.90 (assume @p158 (forall @t115 (or (not (tptp.memberP @t63 @t112)) @t62 @t46 @t119 @t127 (= @t112 @t2)))) % 0.37/0.90 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.37/0.90 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.37/0.90 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.37/0.90 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.37/0.90 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.37/0.90 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.37/0.90 (assume @p165 (forall @t41 (or @t102 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.37/0.90 (assume @p166 (forall @t41 (or @t120 @t74 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.37/0.90 (assume @p167 (forall @t132 (or @t131 @t119 @t46 @t129 @t62 @t126))) % 0.37/0.90 (assume @p168 (forall @t132 (or @t131 @t119 @t46 @t129 @t62 (= @t128 @t40)))) % 0.37/0.90 (assume @p169 (forall @t132 (or @t102 @t114 @t129 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t128 @t2) @t112) @t40)))) % 0.37/0.90 (assume @p170 (forall @t132 (or (not (= (tptp.app @t91 @t112) @t128)) @t114 @t47 @t62 @t129 (tptp.segmentP @t128 @t40)))) % 0.37/0.90 (assume @p171 (forall @t132 (or @t133 @t129 @t62 @t119 @t46 (tptp.frontsegP @t40 @t128)))) % 0.37/0.90 (assume @p172 (forall @t132 (or (not (= @t134 @t128)) @t114 @t47 @t74 @t129 (tptp.memberP @t128 @t40)))) % 0.37/0.90 (assume @p173 (forall @t132 (or @t133 @t129 @t62 @t119 @t46 @t126))) % 0.37/0.90 (assume @p174 (forall @t41 (or (not (= @t55 @t109)) (not (= @t56 @t95)) @t47 @t62 @t94 @t85 @t54))) % 0.37/0.90 (assume @p175 (forall @t132 (or @t104 (not (= @t112 @t128)) @t62 @t47 @t135 @t119 (tptp.frontsegP @t118 (tptp.cons @t128 @t40))))) % 0.37/0.90 (assume @p176 (forall @t138 (or (not (= (tptp.app @t134 (tptp.cons @t40 @t128)) @t136)) @t129 @t114 @t47 @t74 (not (tptp.duplicatefreeP @t136)) @t137))) % 0.37/0.90 (assume @p177 (forall @t138 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t130)) @t136)) @t129 @t47 @t119 @t74 (not (tptp.equalelemsP @t136)) @t137 @t125))) % 0.37/0.90 (assume @p178 (forall @t143 (or @t142 @t137 @t114 @t47 @t135 @t74 (not (tptp.strictorderedP @t140)) @t141 @t139))) % 0.37/0.90 (assume @p179 (forall @t143 (or @t142 @t137 @t114 @t47 @t135 @t74 (not (tptp.totalorderedP @t140)) @t141 @t144))) % 0.37/0.90 (assume @p180 (forall @t143 (or @t142 @t137 @t114 @t47 @t135 @t74 (not (tptp.strictorderP @t140)) @t141 @t139 (tptp.lt @t128 @t40)))) % 0.37/0.90 (assume @p181 (forall @t143 (or @t142 @t137 @t114 @t47 @t135 @t74 (not (tptp.totalorderP @t140)) @t141 @t144 (tptp.leq @t128 @t40)))) % 0.37/0.90 (assume @p182 (forall @t143 (or @t84 @t105 (not (= (tptp.app (tptp.app @t112 (tptp.cons @t2 @t128)) (tptp.cons @t40 @t136)) @t140)) @t137 @t129 @t114 @t74 @t46 (not (tptp.cyclefreeP @t140)) @t141))) % 0.37/0.90 (assume @p183 @t145) % 0.37/0.90 (assume @p184 @t146) % 0.37/0.90 (assume @p185 @t147) % 0.37/0.90 (assume @p186 @t148) % 0.37/0.90 (assume @p187 @t149) % 0.37/0.90 (assume @p188 @t150) % 0.37/0.90 (assume @p189 (forall (@list @t151) (or (not (tptp.ssList @t151)) (not (tptp.neq @t151 tptp.nil)) (not (tptp.segmentP tptp.sk2 @t151)) (not (tptp.segmentP tptp.sk1 @t151))))) % 0.37/0.90 (assume @p190 (or (not @t154) @t153)) % 0.37/0.90 (assume @p191 (or @t156 @t155)) % 0.37/0.90 (assume @p192 (or @t156 @t157)) % 0.37/0.90 (assume @p193 (or @t158 @t155)) % 0.37/0.90 (assume @p194 (or @t158 @t157)) % 0.37/0.90 (step @p195 :rule eq-symm :args (@t51 @t2)) % 0.37/0.90 (step @p196 :rule refl :args (@t47)) % 0.37/0.90 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t52)) % 0.37/0.90 (step @p198 :rule cong :premises (@p197) :args (@t53)) % 0.37/0.90 (step @p199 :rule eq_resolve :premises (@p74 @p198)) % 0.37/0.90 (step @p200 :rule instantiate :premises (@p199) :args (@t159)) % 0.37/0.90 (step @p201 :rule cnf_or_pos :args (@t163)) % 0.37/0.90 (step @p202 :rule reordering :premises (@p201) :args ((or @t162 @t161 (not @t163)))) % 0.37/0.90 (step @p203 :rule chain_m_resolution :premises (@p202 @p183 @p200) :args (@t161 @t164 (@list @t145 @t163))) % 0.37/0.90 (step @p204 :rule instantiate :premises (@p169) :args ((@list tptp.sk1 tptp.sk3 @t165 tptp.nil))) % 0.37/0.90 (step @p205 :rule instantiate :premises (@p51) :args (@t166)) % 0.37/0.90 (step @p206 :rule instantiate :premises (@p57) :args (@t159)) % 0.37/0.90 (step @p207 :rule cnf_or_pos :args (@t168)) % 0.37/0.90 (step @p208 :rule reordering :premises (@p207) :args ((or @t162 @t167 (not @t168)))) % 0.37/0.90 (step @p209 :rule chain_m_resolution :premises (@p208 @p183 @p206) :args (@t167 @t164 (@list @t145 @t168))) % 0.37/0.90 (step @p210 :rule true_intro :premises (@p209)) % 0.37/0.90 (step @p211 :rule symm :premises (@p188)) % 0.37/0.90 (step @p212 :rule refl :args (tptp.sk1)) % 0.37/0.90 (step @p213 :rule cong :premises (@p212 @p211) :args (@t169)) % 0.37/0.90 (step @p214 :rule trans :premises (@p213 @p210)) % 0.37/0.90 (step @p215 :rule true_elim :premises (@p214)) % 0.37/0.90 (step @p216 :rule cnf_or_pos :args (@t177)) % 0.37/0.90 (step @p217 :rule reordering :premises (@p216) :args ((or @t173 @t162 @t172 @t176 @t175 @t171 (not @t177)))) % 0.37/0.90 (step @p218 :rule chain_m_resolution :premises (@p217 @p8 @p183 @p185 @p215 @p205 @p204) :args (@t171 (@list false false false false false false) (@list @t1 @t145 @t147 @t169 @t174 @t177))) % 0.37/0.90 (step @p219 :rule instantiate :premises (@p189) :args ((@list tptp.sk3))) % 0.37/0.90 (step @p220 :rule aci_norm :args ((= (or false @t178 @t62 @t62) (or @t178 @t62)))) % 0.37/0.90 (step @p221 :rule refl :args (@t62)) % 0.37/0.90 (step @p222 :rule refl :args (@t178)) % 0.37/0.90 (step @p223 :rule evaluate :args ((not true))) % 0.37/0.90 (step @p224 :rule eq-refl :args (@t40)) % 0.37/0.90 (step @p225 :rule cong :premises (@p224) :args (@t179)) % 0.37/0.90 (step @p226 :rule trans :premises (@p225 @p223)) % 0.37/0.90 (step @p227 :rule nary_cong :premises (@p226 @p222 @p221 @p221) :args (@t180)) % 0.37/0.90 (step @p228 :rule trans :premises (@p227 @p220)) % 0.37/0.90 (step @p229 :rule cong :premises (@p228) :args ((forall @t181 @t180))) % 0.37/0.90 (step @p230 :rule quant-var-elim-eq :args ((= (forall @t4 @t182) @t180))) % 0.37/0.90 (step @p231 :rule aci_norm :args ((= @t89 @t182))) % 0.37/0.90 (step @p232 :rule cong :premises (@p231) :args (@t183)) % 0.37/0.90 (step @p233 :rule trans :premises (@p232 @p230)) % 0.37/0.90 (step @p234 :rule cong :premises (@p233) :args (@t184)) % 0.37/0.90 (step @p235 :rule quant-merge-prenex :args ((= @t184 @t185))) % 0.37/0.90 (step @p236 :rule symm :premises (@p235)) % 0.37/0.90 (step @p237 :rule quant_var_reordering :args ((= @t90 @t185))) % 0.37/0.90 (step @p238 :rule trans :premises (@p237 @p236 @p234)) % 0.37/0.90 (step @p239 :rule trans :premises (@p238 @p229)) % 0.37/0.90 (step @p240 :rule eq_resolve :premises (@p113 @p239)) % 0.37/0.90 (step @p241 :rule instantiate :premises (@p240) :args (@t159)) % 0.37/0.90 (step @p242 :rule cnf_or_pos :args (@t188)) % 0.37/0.90 (step @p243 :rule reordering :premises (@p242) :args ((or @t162 @t187 (not @t188)))) % 0.37/0.90 (step @p244 :rule chain_m_resolution :premises (@p243 @p183 @p241) :args (@t187 @t164 (@list @t145 @t188))) % 0.37/0.90 (step @p245 :rule bool-double-not-elim :args (@t186)) % 0.37/0.90 (step @p246 :rule refl :args (@t189)) % 0.37/0.90 (step @p247 :rule refl :args (@t153)) % 0.37/0.90 (step @p248 :rule refl :args (@t190)) % 0.37/0.90 (step @p249 :rule nary_cong :premises (@p248 @p247 @p246 @p245) :args ((or @t190 @t153 @t189 (not @t187)))) % 0.37/0.90 (assume-push @p434 @t155) % 0.37/0.90 (assume-push @p435 @t150) % 0.37/0.90 (assume-push @p436 @t152) % 0.37/0.90 (assume-push @p437 @t187) % 0.37/0.90 (step @p254 :rule evaluate :args (@t191)) % 0.37/0.90 (step @p255 :rule true_intro :premises (@p434)) % 0.37/0.90 (step @p256 :rule refl :args (tptp.nil)) % 0.37/0.90 (step @p257 :rule cong :premises (@p188 @p256) :args ((tptp.neq tptp.sk1 tptp.nil))) % 0.37/0.90 (step @p258 :rule symm :premises (@p436)) % 0.37/0.90 (step @p259 :rule cong :premises (@p212 @p258) :args (@t186)) % 0.37/0.90 (step @p260 :rule false_intro :premises (@p244)) % 0.37/0.90 (step @p261 :rule symm :premises (@p260)) % 0.37/0.90 (step @p262 :rule trans :premises (@p261 @p259 @p257 @p255)) % 0.37/0.90 (step @p263 false :rule eq_resolve :premises (@p262 @p254)) % 0.37/0.90 (step-pop @p438 :rule scope :premises (@p263)) % 0.37/0.90 (step-pop @p439 :rule scope :premises (@p438)) % 0.37/0.90 (step-pop @p440 :rule scope :premises (@p439)) % 0.37/0.90 (step-pop @p441 :rule scope :premises (@p440)) % 0.37/0.90 (step @p264 :rule process_scope :premises (@p441) :args (false)) % 0.37/0.90 (assume-push @p442 @t150) % 0.37/0.90 (assume-push @p443 @t152) % 0.37/0.90 (assume-push @p444 @t155) % 0.37/0.90 (assume-push @p445 @t187) % 0.37/0.90 (step @p273 :rule and_intro :premises (@p444 @p188 @p443 @p244)) % 0.37/0.90 (step-pop @p446 :rule scope :premises (@p273)) % 0.37/0.90 (step-pop @p447 :rule scope :premises (@p446)) % 0.37/0.90 (step-pop @p448 :rule scope :premises (@p447)) % 0.37/0.90 (step-pop @p449 :rule scope :premises (@p448)) % 0.37/0.90 (step @p274 :rule process_scope :premises (@p449) :args (@t192)) % 0.37/0.90 (step @p279 :rule implies_elim :premises (@p274)) % 0.37/0.90 (step @p280 :rule resolution :premises (@p279 @p264) :args (true @t192)) % 0.37/0.90 (step @p281 :rule not_and :premises (@p280)) % 0.37/0.90 (step @p282 :rule eq_resolve :premises (@p281 @p249)) % 0.37/0.90 (step @p283 :rule reordering :premises (@p282) :args ((or @t153 @t190 @t189 @t186))) % 0.37/0.90 (step @p284 :rule eq-symm :args (@t40 @t2)) % 0.37/0.90 (step @p285 :rule refl :args (@t71)) % 0.37/0.90 (step @p286 :rule nary_cong :premises (@p196 @p221 @p285 @p284) :args (@t72)) % 0.37/0.90 (step @p287 :rule cong :premises (@p286) :args (@t73)) % 0.37/0.90 (step @p288 :rule eq_resolve :premises (@p98 @p287)) % 0.37/0.90 (step @p289 :rule instantiate :premises (@p288) :args ((@list tptp.nil tptp.sk2))) % 0.37/0.90 (step @p290 :rule cnf_or_pos :args (@t195)) % 0.37/0.90 (step @p291 :rule reordering :premises (@p290) :args ((or @t154 @t173 @t194 @t193 (not @t195)))) % 0.37/0.90 (step @p292 :rule instantiate :premises (@p189) :args (@t196)) % 0.37/0.90 (step @p293 :rule instantiate :premises (@p57) :args (@t196)) % 0.37/0.90 (step @p294 :rule cnf_or_pos :args (@t198)) % 0.37/0.90 (step @p295 :rule reordering :premises (@p294) :args ((or @t194 @t197 (not @t198)))) % 0.37/0.90 (step @p296 :rule chain_m_resolution :premises (@p295 @p184 @p293) :args (@t197 @t164 (@list @t146 @t198))) % 0.37/0.90 (step @p297 :rule cnf_or_pos :args (@t203)) % 0.37/0.90 (step @p298 :rule reordering :premises (@p297) :args ((or @t194 @t202 @t201 @t200 (not @t203)))) % 0.37/0.90 (step @p299 :rule instantiate :premises (@p56) :args (@t159)) % 0.37/0.90 (step @p300 :rule cnf_or_pos :args (@t205)) % 0.37/0.90 (step @p301 :rule reordering :premises (@p300) :args ((or @t162 @t204 (not @t205)))) % 0.37/0.90 (step @p302 :rule chain_m_resolution :premises (@p301 @p183 @p299) :args (@t204 @t164 (@list @t145 @t205))) % 0.37/0.90 (step @p303 :rule bool-double-not-elim :args (@t199)) % 0.37/0.90 (step @p304 :rule refl :args (@t206)) % 0.37/0.90 (step @p305 :rule refl :args (@t207)) % 0.37/0.90 (step @p306 :rule refl :args (@t208)) % 0.37/0.90 (step @p307 :rule nary_cong :premises (@p306 @p305 @p304 @p303) :args ((or @t208 @t207 @t206 (not @t200)))) % 0.37/0.90 (assume-push @p450 @t204) % 0.37/0.90 (assume-push @p451 @t156) % 0.37/0.90 (assume-push @p452 @t149) % 0.37/0.90 (assume-push @p453 @t200) % 0.37/0.90 (step @p254 :rule evaluate :args (@t191)) % 0.37/0.90 (step @p312 :rule true_intro :premises (@p302)) % 0.37/0.90 (step @p313 :rule symm :premises (@p451)) % 0.37/0.90 (step @p314 :rule trans :premises (@p187 @p313)) % 0.37/0.90 (step @p315 :rule cong :premises (@p212 @p314) :args (@t199)) % 0.37/0.90 (step @p316 :rule false_intro :premises (@p453)) % 0.37/0.90 (step @p317 :rule symm :premises (@p316)) % 0.37/0.90 (step @p318 :rule trans :premises (@p317 @p315 @p312)) % 0.37/0.90 (step @p319 false :rule eq_resolve :premises (@p318 @p254)) % 0.37/0.90 (step-pop @p454 :rule scope :premises (@p319)) % 0.37/0.90 (step-pop @p455 :rule scope :premises (@p454)) % 0.37/0.90 (step-pop @p456 :rule scope :premises (@p455)) % 0.37/0.90 (step-pop @p457 :rule scope :premises (@p456)) % 0.37/0.90 (step @p320 :rule process_scope :premises (@p457) :args (false)) % 0.37/0.90 (assume-push @p458 @t149) % 0.37/0.90 (assume-push @p459 @t156) % 0.37/0.90 (assume-push @p460 @t204) % 0.37/0.90 (assume-push @p461 @t200) % 0.37/0.90 (step @p329 :rule and_intro :premises (@p302 @p459 @p187 @p461)) % 0.37/0.90 (step-pop @p462 :rule scope :premises (@p329)) % 0.37/0.90 (step-pop @p463 :rule scope :premises (@p462)) % 0.37/0.90 (step-pop @p464 :rule scope :premises (@p463)) % 0.37/0.90 (step-pop @p465 :rule scope :premises (@p464)) % 0.37/0.90 (step @p330 :rule process_scope :premises (@p465) :args (@t209)) % 0.37/0.90 (step @p335 :rule implies_elim :premises (@p330)) % 0.37/0.90 (step @p336 :rule resolution :premises (@p335 @p320) :args (true @t209)) % 0.37/0.90 (step @p337 :rule not_and :premises (@p336)) % 0.37/0.90 (step @p338 :rule eq_resolve :premises (@p337 @p307)) % 0.37/0.90 (step @p339 :rule chain_m_resolution :premises (@p338 @p302 @p187 @p298 @p296 @p292 @p184 @p191 @p291 @p289 @p184 @p8 @p283 @p244 @p188 @p190) :args (@t153 (@list false false true false false false false false false false false true true false true) (@list @t204 @t149 @t199 @t197 @t203 @t146 @t156 @t193 @t195 @t146 @t1 @t155 @t186 @t150 @t154))) % 0.37/0.90 (step @p340 :rule refl :args (@t210)) % 0.37/0.90 (step @p341 :rule bool-double-not-elim :args (@t152)) % 0.37/0.90 (step @p342 :rule nary_cong :premises (@p248 @p341 @p340) :args ((or @t190 (not @t153) @t210))) % 0.37/0.90 (assume-push @p466 @t150) % 0.37/0.90 (assume-push @p467 @t153) % 0.37/0.90 (assume-push @p468 @t153) % 0.37/0.90 (assume-push @p469 @t150) % 0.37/0.90 (step @p347 :rule false_intro :premises (@p467)) % 0.37/0.90 (step @p256 :rule refl :args (tptp.nil)) % 0.37/0.90 (step @p348 :rule cong :premises (@p256 @p211) :args (@t158)) % 0.37/0.90 (step @p349 :rule trans :premises (@p348 @p347)) % 0.37/0.90 (step @p350 :rule false_elim :premises (@p349)) % 0.37/0.90 (step-pop @p470 :rule scope :premises (@p350)) % 0.37/0.90 (step-pop @p471 :rule scope :premises (@p470)) % 0.37/0.90 (step @p351 :rule process_scope :premises (@p471) :args (@t210)) % 0.37/0.90 (step @p354 :rule and_intro :premises (@p467 @p188)) % 0.37/0.90 (step @p355 :rule modus_ponens :premises (@p354 @p351)) % 0.37/0.90 (step-pop @p472 :rule scope :premises (@p355)) % 0.37/0.90 (step-pop @p473 :rule scope :premises (@p472)) % 0.37/0.90 (step @p356 :rule process_scope :premises (@p473) :args (@t210)) % 0.37/0.90 (step @p359 :rule implies_elim :premises (@p356)) % 0.37/0.90 (step @p360 :rule cnf_and_neg :args (@t211)) % 0.37/0.90 (step @p361 :rule resolution :premises (@p360 @p359) :args (true @t211)) % 0.37/0.90 (step @p362 :rule eq_resolve :premises (@p361 @p342)) % 0.37/0.90 (step @p363 :rule reordering :premises (@p362) :args ((or @t152 @t190 @t210))) % 0.37/0.90 (step @p364 :rule chain_m_resolution :premises (@p363 @p339 @p188) :args (@t210 (@list true false) (@list @t152 @t150))) % 0.37/0.90 (step @p365 :rule reordering :premises (@p193) :args ((or @t155 @t158))) % 0.37/0.90 (step @p366 :rule chain_m_resolution :premises (@p365 @p364) :args (@t155 @t212 @t213)) % 0.37/0.90 (step @p367 :rule cnf_or_pos :args (@t216)) % 0.37/0.90 (step @p368 :rule reordering :premises (@p367) :args ((or @t172 @t189 @t215 @t176 (not @t216)))) % 0.37/0.90 (step @p369 :rule chain_m_resolution :premises (@p368 @p185 @p366 @p215 @p219) :args (@t215 @t217 (@list @t147 @t155 @t169 @t216))) % 0.37/0.90 (step @p370 :rule eq-symm :args (@t106 @t2)) % 0.37/0.90 (step @p371 :rule refl :args (@t104)) % 0.37/0.90 (step @p372 :rule nary_cong :premises (@p371 @p221 @p196 @p370) :args (@t107)) % 0.37/0.90 (step @p373 :rule cong :premises (@p372) :args (@t108)) % 0.37/0.90 (step @p374 :rule eq_resolve :premises (@p129 @p373)) % 0.37/0.90 (step @p375 :rule instantiate :premises (@p374) :args (@t166)) % 0.37/0.90 (step @p376 :rule reordering :premises (@p194) :args ((or @t157 @t158))) % 0.37/0.90 (step @p377 :rule chain_m_resolution :premises (@p376 @p364) :args (@t157 @t212 @t213)) % 0.37/0.90 (step @p378 :rule cnf_or_pos :args (@t221)) % 0.37/0.90 (step @p379 :rule reordering :premises (@p378) :args ((or @t172 @t219 @t220 @t218 (not @t221)))) % 0.37/0.90 (step @p380 :rule chain_m_resolution :premises (@p379 @p185 @p186 @p377 @p375) :args (@t218 @t217 (@list @t147 @t148 @t157 @t221))) % 0.37/0.90 (step @p381 :rule refl :args (@t222)) % 0.37/0.90 (step @p382 :rule bool-double-not-elim :args (@t214)) % 0.37/0.90 (step @p383 :rule refl :args (@t223)) % 0.37/0.90 (step @p384 :rule refl :args (@t224)) % 0.37/0.90 (step @p385 :rule nary_cong :premises (@p306 @p248 @p384 @p383 @p382 @p381) :args ((or @t208 @t190 @t224 @t223 (not @t215) @t222))) % 0.37/0.90 (assume-push @p474 @t215) % 0.37/0.90 (assume-push @p475 @t149) % 0.37/0.90 (assume-push @p476 @t218) % 0.37/0.90 (assume-push @p477 @t150) % 0.37/0.90 (assume-push @p478 @t161) % 0.37/0.90 (assume-push @p479 @t171) % 0.37/0.90 (step @p392 :rule evaluate :args ((= true false))) % 0.37/0.90 (step @p393 :rule false_intro :premises (@p474)) % 0.37/0.90 (step @p394 :rule refl :args (tptp.sk3)) % 0.37/0.90 (step @p395 :rule symm :premises (@p187)) % 0.37/0.90 (step @p396 :rule symm :premises (@p476)) % 0.37/0.90 (step @p397 :rule refl :args (@t165)) % 0.37/0.90 (step @p398 :rule symm :premises (@p203)) % 0.37/0.90 (step @p399 :rule trans :premises (@p398 @p188)) % 0.37/0.90 (step @p400 :rule cong :premises (@p399 @p397) :args (@t170)) % 0.37/0.90 (step @p401 :rule trans :premises (@p400 @p396 @p395)) % 0.37/0.90 (step @p402 :rule cong :premises (@p401 @p394) :args (@t171)) % 0.37/0.90 (step @p403 :rule true_intro :premises (@p218)) % 0.37/0.90 (step @p404 :rule symm :premises (@p403)) % 0.37/0.90 (step @p405 :rule trans :premises (@p404 @p402 @p393)) % 0.37/0.90 (step @p406 false :rule eq_resolve :premises (@p405 @p392)) % 0.37/0.90 (step-pop @p480 :rule scope :premises (@p406)) % 0.37/0.90 (step-pop @p481 :rule scope :premises (@p480)) % 0.37/0.90 (step-pop @p482 :rule scope :premises (@p481)) % 0.37/0.90 (step-pop @p483 :rule scope :premises (@p482)) % 0.37/0.90 (step-pop @p484 :rule scope :premises (@p483)) % 0.37/0.90 (step-pop @p485 :rule scope :premises (@p484)) % 0.37/0.90 (step @p407 :rule process_scope :premises (@p485) :args (false)) % 0.37/0.90 (assume-push @p486 @t149) % 0.37/0.90 (assume-push @p487 @t150) % 0.37/0.90 (assume-push @p488 @t161) % 0.37/0.90 (assume-push @p489 @t218) % 0.37/0.90 (assume-push @p490 @t215) % 0.37/0.90 (assume-push @p491 @t171) % 0.37/0.90 (step @p420 :rule and_intro :premises (@p490 @p187 @p489 @p188 @p203 @p218)) % 0.37/0.90 (step-pop @p492 :rule scope :premises (@p420)) % 0.37/0.90 (step-pop @p493 :rule scope :premises (@p492)) % 0.37/0.90 (step-pop @p494 :rule scope :premises (@p493)) % 0.37/0.90 (step-pop @p495 :rule scope :premises (@p494)) % 0.37/0.90 (step-pop @p496 :rule scope :premises (@p495)) % 0.37/0.90 (step-pop @p497 :rule scope :premises (@p496)) % 0.37/0.90 (step @p421 :rule process_scope :premises (@p497) :args (@t225)) % 0.37/0.90 (step @p428 :rule implies_elim :premises (@p421)) % 0.37/0.90 (step @p429 :rule resolution :premises (@p428 @p407) :args (true @t225)) % 0.37/0.90 (step @p430 :rule not_and :premises (@p429)) % 0.37/0.90 (step @p431 :rule eq_resolve :premises (@p430 @p385)) % 0.37/0.90 (step @p432 :rule reordering :premises (@p431) :args ((or @t208 @t190 @t214 @t224 @t223 @t222))) % 0.37/0.90 (step @p433 false :rule chain_m_resolution :premises (@p432 @p380 @p369 @p218 @p203 @p188 @p187) :args (false (@list false true false false false false) (@list @t218 @t214 @t171 @t161 @t150 @t149))) % 0.37/0.90 ) % 0.37/0.91 % SZS output end Proof % 0.37/0.91 % cvc5 exiting %------------------------------------------------------------------------------