%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC415-1 : 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 : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:59:14 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.66s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC415-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.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 19:47:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.66 % SZS status Unsatisfiable % 0.38/0.66 % SZS output start Proof % 0.38/0.68 ( % 0.38/0.68 (declare-sort $$unsorted 0) % 0.38/0.68 (declare-const tptp.sk4 $$unsorted) % 0.38/0.68 (declare-const tptp.sk2 $$unsorted) % 0.38/0.68 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.nil $$unsorted) % 0.38/0.68 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.sk1 $$unsorted) % 0.38/0.68 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.skac2 $$unsorted) % 0.38/0.68 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.sk3 $$unsorted) % 0.38/0.68 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skac3 $$unsorted) % 0.38/0.68 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.68 (define @t1 () (tptp.ssList tptp.nil)) % 0.38/0.68 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.68 (define @t3 () (tptp.skaf83 @t2)) % 0.38/0.68 (define @t4 () (@list @t2)) % 0.38/0.68 (define @t5 () (tptp.skaf82 @t2)) % 0.38/0.68 (define @t6 () (tptp.skaf81 @t2)) % 0.38/0.68 (define @t7 () (tptp.skaf80 @t2)) % 0.38/0.68 (define @t8 () (tptp.skaf79 @t2)) % 0.38/0.68 (define @t9 () (tptp.skaf78 @t2)) % 0.38/0.68 (define @t10 () (tptp.skaf77 @t2)) % 0.38/0.68 (define @t11 () (tptp.skaf76 @t2)) % 0.38/0.68 (define @t12 () (tptp.skaf75 @t2)) % 0.38/0.68 (define @t13 () (tptp.skaf74 @t2)) % 0.38/0.68 (define @t14 () (tptp.skaf73 @t2)) % 0.38/0.68 (define @t15 () (tptp.skaf72 @t2)) % 0.38/0.68 (define @t16 () (tptp.skaf71 @t2)) % 0.38/0.68 (define @t17 () (tptp.skaf70 @t2)) % 0.38/0.68 (define @t18 () (tptp.skaf69 @t2)) % 0.38/0.68 (define @t19 () (tptp.skaf68 @t2)) % 0.38/0.68 (define @t20 () (tptp.skaf67 @t2)) % 0.38/0.68 (define @t21 () (tptp.skaf66 @t2)) % 0.38/0.68 (define @t22 () (tptp.skaf65 @t2)) % 0.38/0.68 (define @t23 () (tptp.skaf64 @t2)) % 0.38/0.68 (define @t24 () (tptp.skaf63 @t2)) % 0.38/0.68 (define @t25 () (tptp.skaf62 @t2)) % 0.38/0.68 (define @t26 () (tptp.skaf61 @t2)) % 0.38/0.68 (define @t27 () (tptp.skaf60 @t2)) % 0.38/0.68 (define @t28 () (tptp.skaf59 @t2)) % 0.38/0.68 (define @t29 () (tptp.skaf58 @t2)) % 0.38/0.68 (define @t30 () (tptp.skaf57 @t2)) % 0.38/0.68 (define @t31 () (tptp.skaf56 @t2)) % 0.38/0.68 (define @t32 () (tptp.skaf55 @t2)) % 0.38/0.68 (define @t33 () (tptp.skaf54 @t2)) % 0.38/0.68 (define @t34 () (tptp.skaf53 @t2)) % 0.38/0.68 (define @t35 () (tptp.skaf52 @t2)) % 0.38/0.68 (define @t36 () (tptp.skaf51 @t2)) % 0.38/0.68 (define @t37 () (tptp.skaf50 @t2)) % 0.38/0.68 (define @t38 () (tptp.skaf49 @t2)) % 0.38/0.68 (define @t39 () (tptp.skaf44 @t2)) % 0.38/0.68 (define @t40 () (@var "V" $$unsorted)) % 0.38/0.68 (define @t41 () (@list @t2 @t40)) % 0.38/0.68 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.38/0.68 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.38/0.68 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.38/0.68 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.38/0.68 (define @t46 () (not (tptp.ssItem @t2))) % 0.38/0.68 (define @t47 () (not (tptp.ssList @t2))) % 0.38/0.68 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.38/0.68 (define @t49 () (tptp.ssItem @t40)) % 0.38/0.68 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.38/0.68 (define @t51 () (= tptp.nil @t2)) % 0.38/0.68 (define @t52 () (tptp.tl @t2)) % 0.38/0.68 (define @t53 () (tptp.hd @t2)) % 0.38/0.68 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 0.38/0.68 (define @t55 () (not @t51)) % 0.38/0.68 (define @t56 () (tptp.rearsegP tptp.nil @t2)) % 0.38/0.68 (define @t57 () (tptp.frontsegP tptp.nil @t2)) % 0.38/0.68 (define @t58 () (tptp.app @t40 @t2)) % 0.38/0.68 (define @t59 () (not (tptp.ssList @t40))) % 0.38/0.68 (define @t60 () (tptp.cons @t2 @t40)) % 0.38/0.68 (define @t61 () (tptp.cyclefreeP @t2)) % 0.38/0.68 (define @t62 () (tptp.equalelemsP @t2)) % 0.38/0.68 (define @t63 () (tptp.strictorderedP @t2)) % 0.38/0.68 (define @t64 () (tptp.totalorderedP @t2)) % 0.38/0.68 (define @t65 () (tptp.strictorderP @t2)) % 0.38/0.68 (define @t66 () (tptp.totalorderP @t2)) % 0.38/0.68 (define @t67 () (= @t40 @t2)) % 0.38/0.68 (define @t68 () (tptp.neq @t40 @t2)) % 0.38/0.68 (define @t69 () (or @t47 @t59 @t68 @t67)) % 0.38/0.68 (define @t70 () (forall @t41 @t69)) % 0.38/0.68 (define @t71 () (not @t49)) % 0.38/0.68 (define @t72 () (tptp.leq @t2 @t40)) % 0.38/0.68 (define @t73 () (tptp.lt @t2 @t40)) % 0.38/0.68 (define @t74 () (not @t73)) % 0.38/0.68 (define @t75 () (tptp.lt @t40 @t2)) % 0.38/0.68 (define @t76 () (not (tptp.gt @t2 @t40))) % 0.38/0.68 (define @t77 () (tptp.gt @t40 @t2)) % 0.38/0.68 (define @t78 () (tptp.leq @t40 @t2)) % 0.38/0.68 (define @t79 () (not (tptp.geq @t2 @t40))) % 0.38/0.68 (define @t80 () (tptp.geq @t40 @t2)) % 0.38/0.68 (define @t81 () (not @t72)) % 0.38/0.68 (define @t82 () (= @t2 @t40)) % 0.38/0.68 (define @t83 () (not @t82)) % 0.38/0.68 (define @t84 () (tptp.cons @t40 @t2)) % 0.38/0.68 (define @t85 () (not (tptp.neq @t2 @t40))) % 0.38/0.68 (define @t86 () (or @t83 @t85 @t59 @t47)) % 0.38/0.68 (define @t87 () (forall @t41 @t86)) % 0.38/0.68 (define @t88 () (tptp.app @t2 @t40)) % 0.38/0.68 (define @t89 () (= @t88 tptp.nil)) % 0.38/0.68 (define @t90 () (not @t89)) % 0.38/0.68 (define @t91 () (= tptp.nil @t40)) % 0.38/0.68 (define @t92 () (tptp.hd @t40)) % 0.38/0.68 (define @t93 () (tptp.strictorderedP @t40)) % 0.38/0.68 (define @t94 () (tptp.strictorderedP @t60)) % 0.38/0.68 (define @t95 () (not @t94)) % 0.38/0.68 (define @t96 () (tptp.totalorderedP @t40)) % 0.38/0.68 (define @t97 () (tptp.totalorderedP @t60)) % 0.38/0.68 (define @t98 () (not @t97)) % 0.38/0.68 (define @t99 () (not (tptp.segmentP @t2 @t40))) % 0.38/0.68 (define @t100 () (not (tptp.rearsegP @t2 @t40))) % 0.38/0.68 (define @t101 () (not (tptp.frontsegP @t2 @t40))) % 0.38/0.68 (define @t102 () (not @t78)) % 0.38/0.68 (define @t103 () (tptp.tl @t40)) % 0.38/0.68 (define @t104 () (tptp.lt @t2 @t92)) % 0.38/0.68 (define @t105 () (tptp.leq @t2 @t92)) % 0.38/0.68 (define @t106 () (@var "W" $$unsorted)) % 0.38/0.68 (define @t107 () (tptp.app @t106 @t2)) % 0.38/0.68 (define @t108 () (not (tptp.ssList @t106))) % 0.38/0.68 (define @t109 () (@list @t2 @t40 @t106)) % 0.38/0.68 (define @t110 () (tptp.app @t2 @t106)) % 0.38/0.68 (define @t111 () (tptp.cons @t40 @t106)) % 0.38/0.68 (define @t112 () (tptp.cons @t106 @t2)) % 0.38/0.68 (define @t113 () (not (tptp.ssItem @t106))) % 0.38/0.68 (define @t114 () (not (tptp.memberP @t2 @t40))) % 0.38/0.68 (define @t115 () (not (= @t88 @t106))) % 0.38/0.68 (define @t116 () (tptp.lt @t2 @t106)) % 0.38/0.68 (define @t117 () (not (tptp.lt @t40 @t106))) % 0.38/0.68 (define @t118 () (tptp.app @t106 @t40)) % 0.38/0.68 (define @t119 () (= @t40 @t106)) % 0.38/0.68 (define @t120 () (= @t2 @t106)) % 0.38/0.68 (define @t121 () (tptp.memberP @t40 @t106)) % 0.38/0.68 (define @t122 () (@var "X" $$unsorted)) % 0.38/0.68 (define @t123 () (not (tptp.ssList @t122))) % 0.38/0.68 (define @t124 () (tptp.cons @t106 @t122)) % 0.38/0.68 (define @t125 () (not (= @t60 @t124))) % 0.38/0.68 (define @t126 () (@list @t2 @t40 @t106 @t122)) % 0.38/0.68 (define @t127 () (not (tptp.frontsegP @t60 @t124))) % 0.38/0.68 (define @t128 () (tptp.app @t2 @t111)) % 0.38/0.68 (define @t129 () (not (tptp.ssItem @t122))) % 0.38/0.68 (define @t130 () (@var "Y" $$unsorted)) % 0.38/0.68 (define @t131 () (not (tptp.ssList @t130))) % 0.38/0.68 (define @t132 () (@list @t2 @t40 @t106 @t122 @t130)) % 0.38/0.68 (define @t133 () (tptp.lt @t40 @t122)) % 0.38/0.68 (define @t134 () (@var "Z" $$unsorted)) % 0.38/0.68 (define @t135 () (not (tptp.ssList @t134))) % 0.38/0.68 (define @t136 () (not (= (tptp.app @t128 (tptp.cons @t122 @t130)) @t134))) % 0.38/0.68 (define @t137 () (@list @t2 @t40 @t106 @t122 @t130 @t134)) % 0.38/0.68 (define @t138 () (tptp.leq @t40 @t122)) % 0.38/0.68 (define @t139 () (tptp.ssList tptp.sk2)) % 0.38/0.68 (define @t140 () (tptp.ssList tptp.sk4)) % 0.38/0.68 (define @t141 () (= tptp.sk2 tptp.sk4)) % 0.38/0.68 (define @t142 () (= tptp.sk1 tptp.sk3)) % 0.38/0.68 (define @t143 () (tptp.neq tptp.sk2 tptp.nil)) % 0.38/0.68 (define @t144 () (or @t143 @t143)) % 0.38/0.68 (define @t145 () (tptp.neq tptp.sk4 tptp.nil)) % 0.38/0.68 (define @t146 () (not @t145)) % 0.38/0.68 (define @t147 () (tptp.neq tptp.nil tptp.sk4)) % 0.38/0.68 (define @t148 () (not @t147)) % 0.38/0.68 (define @t149 () (@var "A" $$unsorted)) % 0.38/0.68 (define @t150 () (tptp.tl tptp.sk4)) % 0.38/0.68 (define @t151 () (not (= @t150 @t149))) % 0.38/0.68 (define @t152 () (= tptp.sk3 @t149)) % 0.38/0.68 (define @t153 () (not (tptp.ssList @t149))) % 0.38/0.68 (define @t154 () (@list @t149)) % 0.38/0.68 (define @t155 () (tptp.neq tptp.nil tptp.sk2)) % 0.38/0.68 (define @t156 () (not @t155)) % 0.38/0.68 (define @t157 () (not (= tptp.sk1 @t149))) % 0.38/0.68 (define @t158 () (tptp.tl tptp.sk2)) % 0.38/0.68 (define @t159 () (not (= @t158 @t149))) % 0.38/0.68 (define @t160 () (or @t153 @t152 @t151 @t148 @t146)) % 0.38/0.68 (define @t161 () (forall @t154 @t160)) % 0.38/0.68 (define @t162 () (or @t153 @t159 @t157 @t156 @t146)) % 0.38/0.68 (define @t163 () (forall @t154 @t162)) % 0.38/0.68 (define @t164 () (not (tptp.neq @t40 @t40))) % 0.38/0.68 (define @t165 () (not (= @t40 @t40))) % 0.38/0.68 (define @t166 () (or @t165 @t164 @t59 @t59)) % 0.38/0.68 (define @t167 () (@list @t40)) % 0.38/0.68 (define @t168 () (or @t83 @t83 @t85 @t59 @t47)) % 0.38/0.68 (define @t169 () (forall @t4 @t86)) % 0.38/0.68 (define @t170 () (forall @t167 @t169)) % 0.38/0.68 (define @t171 () (forall (@list @t40 @t2) @t86)) % 0.38/0.68 (define @t172 () (not @t139)) % 0.38/0.68 (define @t173 () (tptp.neq tptp.sk2 tptp.sk2)) % 0.38/0.68 (define @t174 () (not @t173)) % 0.38/0.68 (define @t175 () (or @t174 @t172)) % 0.38/0.68 (define @t176 () (@list false false)) % 0.38/0.68 (define @t177 () (= tptp.nil tptp.sk2)) % 0.38/0.68 (define @t178 () (not @t177)) % 0.38/0.68 (define @t179 () (not @t143)) % 0.38/0.68 (define @t180 () (not @t141)) % 0.38/0.68 (define @t181 () (and @t143 @t141 @t177 @t174)) % 0.38/0.68 (define @t182 () (= tptp.nil tptp.sk4)) % 0.38/0.68 (define @t183 () (not @t182)) % 0.38/0.68 (define @t184 () (and @t141 @t178)) % 0.38/0.68 (define @t185 () (tptp.ssList @t150)) % 0.38/0.68 (define @t186 () (not @t140)) % 0.38/0.68 (define @t187 () (or @t186 @t185 @t182)) % 0.38/0.68 (define @t188 () (not @t1)) % 0.38/0.68 (define @t189 () (or @t186 @t188 @t147 (= tptp.sk4 tptp.nil))) % 0.38/0.68 (define @t190 () (forall @t41 (or @t47 @t59 @t68 @t82))) % 0.38/0.68 (define @t191 () (or @t186 @t188 @t147 @t182)) % 0.38/0.68 (define @t192 () (= tptp.sk3 @t150)) % 0.38/0.68 (define @t193 () (not @t185)) % 0.38/0.68 (define @t194 () (or @t193 @t192)) % 0.38/0.68 (define @t195 () (not (= @t150 @t150))) % 0.38/0.68 (define @t196 () (or @t193 @t192 @t195)) % 0.38/0.68 (define @t197 () (not (= @t149 @t150))) % 0.38/0.68 (define @t198 () (or @t197 @t153 @t152 @t197)) % 0.38/0.68 (define @t199 () (or @t153 @t152 @t197)) % 0.38/0.68 (define @t200 () (forall @t154 @t199)) % 0.38/0.68 (define @t201 () (or @t148 @t146 @t200)) % 0.38/0.68 (define @t202 () (or @t148 @t146 @t199)) % 0.38/0.68 (define @t203 () (or @t153 @t152 @t197 @t148 @t146)) % 0.38/0.68 (define @t204 () (@list false false false)) % 0.38/0.68 (define @t205 () (= tptp.sk1 @t158)) % 0.38/0.68 (define @t206 () (and @t141 @t142 @t192)) % 0.38/0.68 (define @t207 () (tptp.ssList @t158)) % 0.38/0.68 (define @t208 () (and @t141 @t185)) % 0.38/0.68 (define @t209 () (and @t141 @t147)) % 0.38/0.68 (define @t210 () (not @t205)) % 0.38/0.68 (define @t211 () (not @t207)) % 0.38/0.68 (define @t212 () (or @t211 @t210)) % 0.38/0.68 (define @t213 () (not (= @t158 @t158))) % 0.38/0.68 (define @t214 () (or @t211 @t213 @t210)) % 0.38/0.68 (define @t215 () (not (= @t149 @t158))) % 0.38/0.68 (define @t216 () (or @t215 @t153 @t215 @t157)) % 0.38/0.68 (define @t217 () (or @t153 @t215 @t157)) % 0.38/0.68 (define @t218 () (forall @t154 @t217)) % 0.38/0.68 (define @t219 () (or @t156 @t146 @t218)) % 0.38/0.68 (define @t220 () (or @t156 @t146 @t217)) % 0.38/0.68 (define @t221 () (or @t153 @t215 @t157 @t156 @t146)) % 0.38/0.68 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.38/0.68 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.38/0.68 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.38/0.68 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.38/0.68 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.38/0.68 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.38/0.68 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.38/0.68 (assume @p8 @t1) % 0.38/0.68 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.38/0.68 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.38/0.68 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.38/0.68 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.38/0.68 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.38/0.68 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.38/0.68 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.38/0.68 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.38/0.68 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.38/0.68 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.38/0.68 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.38/0.68 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.38/0.68 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.38/0.68 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.38/0.68 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.38/0.68 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.38/0.68 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.38/0.68 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.38/0.68 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.38/0.68 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.38/0.68 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.38/0.68 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.38/0.68 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.38/0.68 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.38/0.68 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.38/0.68 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.38/0.68 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.38/0.68 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.38/0.68 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.38/0.68 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.38/0.68 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.38/0.68 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.38/0.68 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.38/0.68 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.38/0.68 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.38/0.68 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.38/0.68 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.38/0.68 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.38/0.68 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.38/0.68 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.38/0.68 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.38/0.68 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.38/0.68 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.38/0.68 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.38/0.68 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.38/0.68 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.38/0.68 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.38/0.68 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.38/0.68 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.38/0.68 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.38/0.68 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.38/0.68 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.38/0.68 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.38/0.68 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.38/0.68 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.38/0.68 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.38/0.68 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.38/0.68 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.38/0.68 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.38/0.68 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.38/0.68 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.38/0.68 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.38/0.68 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.38/0.68 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.38/0.68 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.38/0.68 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 0.38/0.68 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 0.38/0.68 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 0.38/0.68 (assume @p77 (forall @t4 (or @t55 @t47 @t54))) % 0.38/0.68 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 0.38/0.68 (assume @p79 (forall @t4 (or @t55 @t47 @t56))) % 0.38/0.68 (assume @p80 (forall @t4 (or (not @t56) @t47 @t51))) % 0.38/0.68 (assume @p81 (forall @t4 (or @t55 @t47 @t57))) % 0.38/0.68 (assume @p82 (forall @t4 (or (not @t57) @t47 @t51))) % 0.38/0.68 (assume @p83 (forall @t41 (or @t47 @t59 (tptp.ssList @t58)))) % 0.38/0.68 (assume @p84 (forall @t41 (or @t46 @t59 (tptp.ssList @t60)))) % 0.38/0.68 (assume @p85 (forall @t4 (or @t47 @t61 (tptp.leq @t37 @t38)))) % 0.38/0.68 (assume @p86 (forall @t4 (or @t47 @t61 (tptp.leq @t38 @t37)))) % 0.38/0.68 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t62))) % 0.38/0.68 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t63))) % 0.38/0.68 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t64))) % 0.38/0.68 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t65))) % 0.38/0.68 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t65))) % 0.38/0.68 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t66))) % 0.38/0.68 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t66))) % 0.38/0.68 (assume @p94 (forall @t41 (or @t46 @t59 (= (tptp.tl @t60) @t40)))) % 0.38/0.68 (assume @p95 (forall @t41 (or @t46 @t59 (= (tptp.hd @t60) @t2)))) % 0.38/0.68 (assume @p96 (forall @t41 (or (not (= @t60 tptp.nil)) @t46 @t59))) % 0.38/0.68 (assume @p97 (forall @t41 (or (not (= @t60 @t40)) @t46 @t59))) % 0.38/0.68 (assume @p98 @t70) % 0.38/0.68 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.38/0.68 (assume @p100 (forall @t41 (or @t46 @t71 @t68 @t67))) % 0.38/0.68 (assume @p101 (forall @t41 (or @t74 @t71 @t46 @t72))) % 0.38/0.68 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 0.38/0.68 (assume @p103 (forall @t41 (or @t76 @t71 @t46 @t75))) % 0.38/0.68 (assume @p104 (forall @t41 (or @t74 @t46 @t71 @t77))) % 0.38/0.68 (assume @p105 (forall @t41 (or @t79 @t71 @t46 @t78))) % 0.38/0.68 (assume @p106 (forall @t41 (or @t81 @t46 @t71 @t80))) % 0.38/0.68 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 0.38/0.68 (assume @p108 (forall @t41 (or @t76 (not @t77) @t46 @t71))) % 0.38/0.68 (assume @p109 (forall @t41 (or @t83 @t74 @t71 @t46))) % 0.38/0.68 (assume @p110 (forall @t41 (or @t55 @t47 @t71 (tptp.strictorderedP @t84)))) % 0.38/0.68 (assume @p111 (forall @t41 (or @t55 @t47 @t71 (tptp.totalorderedP @t84)))) % 0.38/0.68 (assume @p112 (forall @t41 (or @t74 (not @t75) @t46 @t71))) % 0.38/0.68 (assume @p113 @t87) % 0.38/0.68 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t59 (tptp.singletonP @t40)))) % 0.38/0.68 (assume @p115 (forall @t41 (or @t83 @t85 @t71 @t46))) % 0.38/0.68 (assume @p116 (forall @t41 (or @t90 @t59 @t47 @t51))) % 0.38/0.68 (assume @p117 (forall @t41 (or @t90 @t59 @t47 @t91))) % 0.38/0.68 (assume @p118 (forall @t41 (or @t46 @t59 (= (tptp.app @t48 @t40) @t60)))) % 0.38/0.68 (assume @p119 (forall @t41 (or @t81 @t71 @t46 @t73 @t82))) % 0.38/0.68 (assume @p120 (forall @t41 (or @t47 @t59 @t91 (= (tptp.hd @t58) @t92)))) % 0.38/0.68 (assume @p121 (forall @t41 (or @t95 @t59 @t46 @t93 @t91))) % 0.38/0.68 (assume @p122 (forall @t41 (or @t98 @t59 @t46 @t96 @t91))) % 0.38/0.68 (assume @p123 (forall @t41 (or @t79 (not @t80) @t46 @t71 @t67))) % 0.38/0.68 (assume @p124 (forall @t41 (or @t99 (not (tptp.segmentP @t40 @t2)) @t47 @t59 @t67))) % 0.38/0.68 (assume @p125 (forall @t41 (or @t100 (not (tptp.rearsegP @t40 @t2)) @t47 @t59 @t67))) % 0.38/0.68 (assume @p126 (forall @t41 (or @t101 (not (tptp.frontsegP @t40 @t2)) @t47 @t59 @t67))) % 0.38/0.68 (assume @p127 (forall @t41 (or @t81 @t102 @t46 @t71 @t67))) % 0.38/0.68 (assume @p128 (forall @t41 (or @t100 @t59 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.38/0.68 (assume @p129 (forall @t41 (or @t101 @t59 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.38/0.68 (assume @p130 (forall @t41 (or @t47 @t59 @t91 (= (tptp.tl @t58) (tptp.app @t103 @t2))))) % 0.38/0.68 (assume @p131 (forall @t41 (or @t95 @t59 @t46 @t104 @t91))) % 0.38/0.68 (assume @p132 (forall @t41 (or @t98 @t59 @t46 @t105 @t91))) % 0.38/0.68 (assume @p133 (forall @t109 (or @t100 @t108 @t59 @t47 (tptp.rearsegP @t107 @t40)))) % 0.38/0.68 (assume @p134 (forall @t109 (or @t101 @t108 @t59 @t47 (tptp.frontsegP @t110 @t40)))) % 0.38/0.68 (assume @p135 (forall @t109 (or @t83 @t108 @t71 @t46 (tptp.memberP @t111 @t2)))) % 0.38/0.68 (assume @p136 (forall @t109 (or @t114 @t47 @t113 @t71 (tptp.memberP @t112 @t40)))) % 0.38/0.68 (assume @p137 (forall @t109 (or @t114 @t108 @t47 @t71 (tptp.memberP @t110 @t40)))) % 0.38/0.68 (assume @p138 (forall @t109 (or @t114 @t47 @t108 @t71 (tptp.memberP @t107 @t40)))) % 0.38/0.68 (assume @p139 (forall @t4 (or @t47 @t62 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.38/0.68 (assume @p140 (forall @t109 (or @t115 @t47 @t59 @t108 (tptp.rearsegP @t106 @t40)))) % 0.38/0.68 (assume @p141 (forall @t109 (or @t115 @t59 @t47 @t108 (tptp.frontsegP @t106 @t2)))) % 0.38/0.68 (assume @p142 (forall @t41 (or @t55 (not @t91) @t59 @t47 @t89))) % 0.38/0.68 (assume @p143 (forall @t109 (or @t76 (not (tptp.gt @t40 @t106)) @t113 @t71 @t46 (tptp.gt @t2 @t106)))) % 0.38/0.68 (assume @p144 (forall @t109 (or @t81 @t117 @t113 @t71 @t46 @t116))) % 0.38/0.68 (assume @p145 (forall @t109 (or @t79 (not (tptp.geq @t40 @t106)) @t113 @t71 @t46 (tptp.geq @t2 @t106)))) % 0.38/0.68 (assume @p146 (forall @t109 (or @t47 @t59 @t108 (= (tptp.app @t118 @t2) (tptp.app @t106 @t58))))) % 0.38/0.68 (assume @p147 (forall @t109 (or (not (= @t88 @t110)) @t59 @t47 @t108 @t119))) % 0.38/0.68 (assume @p148 (forall @t109 (or (not (= @t88 @t118)) @t47 @t59 @t108 @t120))) % 0.38/0.68 (assume @p149 (forall @t109 (or @t99 (not (tptp.segmentP @t40 @t106)) @t108 @t59 @t47 (tptp.segmentP @t2 @t106)))) % 0.38/0.68 (assume @p150 (forall @t109 (or @t100 (not (tptp.rearsegP @t40 @t106)) @t108 @t59 @t47 (tptp.rearsegP @t2 @t106)))) % 0.38/0.68 (assume @p151 (forall @t109 (or @t101 (not (tptp.frontsegP @t40 @t106)) @t108 @t59 @t47 (tptp.frontsegP @t2 @t106)))) % 0.38/0.68 (assume @p152 (forall @t109 (or @t74 @t117 @t113 @t71 @t46 @t116))) % 0.38/0.68 (assume @p153 (forall @t109 (or @t81 (not (tptp.leq @t40 @t106)) @t113 @t71 @t46 (tptp.leq @t2 @t106)))) % 0.38/0.68 (assume @p154 (forall @t109 (or @t46 @t59 @t108 (= (tptp.cons @t2 (tptp.app @t40 @t106)) (tptp.app @t60 @t106))))) % 0.38/0.68 (assume @p155 (forall @t109 (or (not (tptp.memberP @t88 @t106)) @t59 @t47 @t113 @t121 (tptp.memberP @t2 @t106)))) % 0.38/0.68 (assume @p156 (forall @t41 (or (not @t105) (not @t96) @t59 @t46 @t97 @t91))) % 0.38/0.68 (assume @p157 (forall @t41 (or (not @t104) (not @t93) @t59 @t46 @t94 @t91))) % 0.38/0.68 (assume @p158 (forall @t109 (or (not (tptp.memberP @t60 @t106)) @t59 @t46 @t113 @t121 (= @t106 @t2)))) % 0.38/0.68 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.38/0.68 (assume @p160 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.38/0.68 (assume @p161 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.38/0.68 (assume @p162 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.38/0.68 (assume @p163 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.38/0.68 (assume @p164 (forall @t4 (or @t47 @t61 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.38/0.68 (assume @p165 (forall @t41 (or @t99 @t59 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.38/0.68 (assume @p166 (forall @t41 (or @t114 @t71 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.38/0.68 (assume @p167 (forall @t126 (or @t125 @t113 @t46 @t123 @t59 @t120))) % 0.38/0.68 (assume @p168 (forall @t126 (or @t125 @t113 @t46 @t123 @t59 (= @t122 @t40)))) % 0.38/0.68 (assume @p169 (forall @t126 (or @t99 @t108 @t123 @t59 @t47 (tptp.segmentP (tptp.app (tptp.app @t122 @t2) @t106) @t40)))) % 0.38/0.68 (assume @p170 (forall @t126 (or (not (= (tptp.app @t88 @t106) @t122)) @t108 @t47 @t59 @t123 (tptp.segmentP @t122 @t40)))) % 0.38/0.68 (assume @p171 (forall @t126 (or @t127 @t123 @t59 @t113 @t46 (tptp.frontsegP @t40 @t122)))) % 0.38/0.68 (assume @p172 (forall @t126 (or (not (= @t128 @t122)) @t108 @t47 @t71 @t123 (tptp.memberP @t122 @t40)))) % 0.38/0.68 (assume @p173 (forall @t126 (or @t127 @t123 @t59 @t113 @t46 @t120))) % 0.38/0.68 (assume @p174 (forall @t41 (or (not (= @t52 @t103)) (not (= @t53 @t92)) @t47 @t59 @t91 @t82 @t51))) % 0.38/0.68 (assume @p175 (forall @t126 (or @t101 (not (= @t106 @t122)) @t59 @t47 @t129 @t113 (tptp.frontsegP @t112 (tptp.cons @t122 @t40))))) % 0.38/0.68 (assume @p176 (forall @t132 (or (not (= (tptp.app @t128 (tptp.cons @t40 @t122)) @t130)) @t123 @t108 @t47 @t71 (not (tptp.duplicatefreeP @t130)) @t131))) % 0.38/0.68 (assume @p177 (forall @t132 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t124)) @t130)) @t123 @t47 @t113 @t71 (not (tptp.equalelemsP @t130)) @t131 @t119))) % 0.38/0.68 (assume @p178 (forall @t137 (or @t136 @t131 @t108 @t47 @t129 @t71 (not (tptp.strictorderedP @t134)) @t135 @t133))) % 0.38/0.68 (assume @p179 (forall @t137 (or @t136 @t131 @t108 @t47 @t129 @t71 (not (tptp.totalorderedP @t134)) @t135 @t138))) % 0.38/0.68 (assume @p180 (forall @t137 (or @t136 @t131 @t108 @t47 @t129 @t71 (not (tptp.strictorderP @t134)) @t135 @t133 (tptp.lt @t122 @t40)))) % 0.38/0.68 (assume @p181 (forall @t137 (or @t136 @t131 @t108 @t47 @t129 @t71 (not (tptp.totalorderP @t134)) @t135 @t138 (tptp.leq @t122 @t40)))) % 0.38/0.68 (assume @p182 (forall @t137 (or @t81 @t102 (not (= (tptp.app (tptp.app @t106 (tptp.cons @t2 @t122)) (tptp.cons @t40 @t130)) @t134)) @t131 @t123 @t108 @t71 @t46 (not (tptp.cyclefreeP @t134)) @t135))) % 0.38/0.68 (assume @p183 (tptp.ssList tptp.sk1)) % 0.38/0.68 (assume @p184 @t139) % 0.38/0.68 (assume @p185 (tptp.ssList tptp.sk3)) % 0.38/0.68 (assume @p186 @t140) % 0.38/0.68 (assume @p187 @t141) % 0.38/0.68 (assume @p188 @t142) % 0.38/0.68 (assume @p189 @t144) % 0.38/0.68 (assume @p190 (or @t143 @t146)) % 0.38/0.68 (assume @p191 (forall @t154 (or @t153 @t152 @t151 @t148 @t143))) % 0.38/0.68 (assume @p192 (forall @t154 (or @t153 @t159 @t157 @t156 @t143))) % 0.38/0.68 (assume @p193 @t161) % 0.38/0.68 (assume @p194 @t163) % 0.38/0.68 (step @p195 :rule instantiate :premises (@p75) :args ((@list tptp.sk4))) % 0.38/0.68 (step @p196 :rule aci_norm :args ((= (or false @t164 @t59 @t59) (or @t164 @t59)))) % 0.38/0.68 (step @p197 :rule refl :args (@t59)) % 0.38/0.68 (step @p198 :rule refl :args (@t164)) % 0.38/0.68 (step @p199 :rule evaluate :args ((not true))) % 0.38/0.68 (step @p200 :rule eq-refl :args (@t40)) % 0.38/0.68 (step @p201 :rule cong :premises (@p200) :args (@t165)) % 0.38/0.68 (step @p202 :rule trans :premises (@p201 @p199)) % 0.38/0.68 (step @p203 :rule nary_cong :premises (@p202 @p198 @p197 @p197) :args (@t166)) % 0.38/0.68 (step @p204 :rule trans :premises (@p203 @p196)) % 0.38/0.68 (step @p205 :rule cong :premises (@p204) :args ((forall @t167 @t166))) % 0.38/0.68 (step @p206 :rule quant-var-elim-eq :args ((= (forall @t4 @t168) @t166))) % 0.38/0.68 (step @p207 :rule aci_norm :args ((= @t86 @t168))) % 0.38/0.68 (step @p208 :rule cong :premises (@p207) :args (@t169)) % 0.38/0.68 (step @p209 :rule trans :premises (@p208 @p206)) % 0.38/0.68 (step @p210 :rule cong :premises (@p209) :args (@t170)) % 0.38/0.68 (step @p211 :rule quant-merge-prenex :args ((= @t170 @t171))) % 0.38/0.68 (step @p212 :rule symm :premises (@p211)) % 0.38/0.68 (step @p213 :rule quant_var_reordering :args ((= @t87 @t171))) % 0.38/0.68 (step @p214 :rule trans :premises (@p213 @p212 @p210)) % 0.38/0.68 (step @p215 :rule trans :premises (@p214 @p205)) % 0.38/0.68 (step @p216 :rule eq_resolve :premises (@p113 @p215)) % 0.38/0.68 (step @p217 :rule instantiate :premises (@p216) :args ((@list tptp.sk2))) % 0.38/0.68 (step @p218 :rule cnf_or_pos :args (@t175)) % 0.38/0.68 (step @p219 :rule reordering :premises (@p218) :args ((or @t172 @t174 (not @t175)))) % 0.38/0.68 (step @p220 :rule chain_m_resolution :premises (@p219 @p184 @p217) :args (@t174 @t176 (@list @t139 @t175))) % 0.38/0.68 (step @p221 :rule aci_norm :args ((= @t144 @t143))) % 0.38/0.68 (step @p222 :rule eq_resolve :premises (@p189 @p221)) % 0.38/0.68 (step @p223 :rule bool-double-not-elim :args (@t173)) % 0.38/0.68 (step @p224 :rule refl :args (@t178)) % 0.38/0.68 (step @p225 :rule refl :args (@t179)) % 0.38/0.68 (step @p226 :rule refl :args (@t180)) % 0.38/0.68 (step @p227 :rule nary_cong :premises (@p226 @p225 @p224 @p223) :args ((or @t180 @t179 @t178 (not @t174)))) % 0.38/0.68 (assume-push @p446 @t143) % 0.38/0.68 (assume-push @p447 @t141) % 0.38/0.68 (assume-push @p448 @t177) % 0.38/0.68 (assume-push @p449 @t174) % 0.38/0.68 (step @p232 :rule evaluate :args ((= false true))) % 0.38/0.68 (step @p233 :rule true_intro :premises (@p222)) % 0.38/0.68 (step @p234 :rule refl :args (tptp.nil)) % 0.38/0.68 (step @p235 :rule symm :premises (@p187)) % 0.38/0.68 (step @p236 :rule cong :premises (@p235 @p234) :args (@t145)) % 0.38/0.68 (step @p237 :rule symm :premises (@p448)) % 0.38/0.68 (step @p238 :rule cong :premises (@p187 @p237) :args (@t173)) % 0.38/0.68 (step @p239 :rule false_intro :premises (@p220)) % 0.38/0.68 (step @p240 :rule symm :premises (@p239)) % 0.38/0.68 (step @p241 :rule trans :premises (@p240 @p238 @p236 @p233)) % 0.38/0.68 (step @p242 false :rule eq_resolve :premises (@p241 @p232)) % 0.38/0.68 (step-pop @p450 :rule scope :premises (@p242)) % 0.38/0.68 (step-pop @p451 :rule scope :premises (@p450)) % 0.38/0.68 (step-pop @p452 :rule scope :premises (@p451)) % 0.38/0.68 (step-pop @p453 :rule scope :premises (@p452)) % 0.38/0.68 (step @p243 :rule process_scope :premises (@p453) :args (false)) % 0.38/0.68 (assume-push @p454 @t141) % 0.38/0.68 (assume-push @p455 @t143) % 0.38/0.68 (assume-push @p456 @t177) % 0.38/0.68 (assume-push @p457 @t174) % 0.38/0.68 (step @p252 :rule and_intro :premises (@p222 @p187 @p456 @p220)) % 0.38/0.68 (step-pop @p458 :rule scope :premises (@p252)) % 0.38/0.68 (step-pop @p459 :rule scope :premises (@p458)) % 0.38/0.68 (step-pop @p460 :rule scope :premises (@p459)) % 0.38/0.68 (step-pop @p461 :rule scope :premises (@p460)) % 0.38/0.68 (step @p253 :rule process_scope :premises (@p461) :args (@t181)) % 0.38/0.68 (step @p258 :rule implies_elim :premises (@p253)) % 0.38/0.68 (step @p259 :rule resolution :premises (@p258 @p243) :args (true @t181)) % 0.38/0.68 (step @p260 :rule not_and :premises (@p259)) % 0.38/0.68 (step @p261 :rule eq_resolve :premises (@p260 @p227)) % 0.38/0.68 (step @p262 :rule reordering :premises (@p261) :args ((or @t180 @t179 @t173 @t178))) % 0.38/0.68 (step @p263 :rule chain_m_resolution :premises (@p262 @p187 @p222 @p220) :args (@t178 (@list false false true) (@list @t141 @t143 @t173))) % 0.38/0.68 (step @p264 :rule refl :args (@t183)) % 0.38/0.68 (step @p265 :rule bool-double-not-elim :args (@t177)) % 0.38/0.68 (step @p266 :rule nary_cong :premises (@p226 @p265 @p264) :args ((or @t180 (not @t178) @t183))) % 0.38/0.68 (assume-push @p462 @t141) % 0.38/0.68 (assume-push @p463 @t178) % 0.38/0.68 (assume-push @p464 @t178) % 0.38/0.68 (assume-push @p465 @t141) % 0.38/0.68 (step @p271 :rule false_intro :premises (@p463)) % 0.38/0.68 (step @p235 :rule symm :premises (@p187)) % 0.38/0.68 (step @p234 :rule refl :args (tptp.nil)) % 0.38/0.68 (step @p272 :rule cong :premises (@p234 @p235) :args (@t182)) % 0.38/0.68 (step @p273 :rule trans :premises (@p272 @p271)) % 0.38/0.68 (step @p274 :rule false_elim :premises (@p273)) % 0.38/0.68 (step-pop @p466 :rule scope :premises (@p274)) % 0.38/0.68 (step-pop @p467 :rule scope :premises (@p466)) % 0.38/0.68 (step @p275 :rule process_scope :premises (@p467) :args (@t183)) % 0.38/0.68 (step @p278 :rule and_intro :premises (@p463 @p187)) % 0.38/0.68 (step @p279 :rule modus_ponens :premises (@p278 @p275)) % 0.38/0.68 (step-pop @p468 :rule scope :premises (@p279)) % 0.38/0.68 (step-pop @p469 :rule scope :premises (@p468)) % 0.38/0.68 (step @p280 :rule process_scope :premises (@p469) :args (@t183)) % 0.38/0.68 (step @p283 :rule implies_elim :premises (@p280)) % 0.38/0.68 (step @p284 :rule cnf_and_neg :args (@t184)) % 0.38/0.68 (step @p285 :rule resolution :premises (@p284 @p283) :args (true @t184)) % 0.38/0.68 (step @p286 :rule eq_resolve :premises (@p285 @p266)) % 0.38/0.68 (step @p287 :rule chain_m_resolution :premises (@p286 @p187 @p263) :args (@t183 (@list false true) (@list @t141 @t177))) % 0.38/0.68 (step @p288 :rule cnf_or_pos :args (@t187)) % 0.38/0.68 (step @p289 :rule reordering :premises (@p288) :args ((or @t185 @t186 @t182 (not @t187)))) % 0.38/0.68 (step @p290 :rule chain_m_resolution :premises (@p289 @p186 @p287 @p195) :args (@t185 (@list false true false) (@list @t140 @t182 @t187))) % 0.38/0.68 (step @p291 :rule eq-symm :args (@t40 @t2)) % 0.38/0.68 (step @p292 :rule refl :args (@t68)) % 0.38/0.68 (step @p293 :rule refl :args (@t47)) % 0.38/0.68 (step @p294 :rule nary_cong :premises (@p293 @p197 @p292 @p291) :args (@t69)) % 0.38/0.68 (step @p295 :rule cong :premises (@p294) :args (@t70)) % 0.38/0.68 (step @p296 :rule eq_resolve :premises (@p98 @p295)) % 0.38/0.68 (step @p297 :rule eq-symm :args (tptp.sk4 tptp.nil)) % 0.38/0.68 (step @p298 :rule refl :args (@t147)) % 0.38/0.68 (step @p299 :rule refl :args (@t188)) % 0.38/0.68 (step @p300 :rule refl :args (@t186)) % 0.38/0.68 (step @p301 :rule nary_cong :premises (@p300 @p299 @p298 @p297) :args (@t189)) % 0.38/0.68 (step @p302 :rule refl :args (@t190)) % 0.38/0.68 (step @p303 :rule cong :premises (@p302 @p301) :args ((=> @t190 @t189))) % 0.38/0.68 (assume-push @p470 @t190) % 0.38/0.68 (step @p305 :rule instantiate :premises (@p296) :args ((@list tptp.sk4 tptp.nil))) % 0.38/0.68 (step-pop @p471 :rule scope :premises (@p305)) % 0.38/0.68 (step @p306 :rule process_scope :premises (@p471) :args (@t189)) % 0.38/0.68 (step @p308 :rule eq_resolve :premises (@p306 @p303)) % 0.38/0.68 (step @p309 :rule implies_elim :premises (@p308)) % 0.38/0.68 (step @p310 :rule chain_m_resolution :premises (@p309 @p296) :args (@t191 (@list false) (@list @t190))) % 0.38/0.68 (step @p311 :rule cnf_or_pos :args (@t191)) % 0.38/0.68 (step @p312 :rule reordering :premises (@p311) :args ((or @t147 @t188 @t186 @t182 (not @t191)))) % 0.38/0.68 (step @p313 :rule chain_m_resolution :premises (@p312 @p8 @p186 @p287 @p310) :args (@t147 (@list false false true false) (@list @t1 @t140 @t182 @t191))) % 0.38/0.68 (step @p233 :rule true_intro :premises (@p222)) % 0.38/0.68 (step @p234 :rule refl :args (tptp.nil)) % 0.38/0.68 (step @p235 :rule symm :premises (@p187)) % 0.38/0.68 (step @p236 :rule cong :premises (@p235 @p234) :args (@t145)) % 0.38/0.68 (step @p314 :rule trans :premises (@p236 @p233)) % 0.38/0.68 (step @p315 :rule true_elim :premises (@p314)) % 0.38/0.68 (step @p316 :rule aci_norm :args ((= (or @t148 @t146 @t194) (or @t148 @t146 @t193 @t192)))) % 0.38/0.68 (step @p317 :rule aci_norm :args ((= (or @t193 @t192 false) @t194))) % 0.38/0.68 (step @p318 :rule eq-refl :args (@t150)) % 0.38/0.68 (step @p319 :rule cong :premises (@p318) :args (@t195)) % 0.38/0.68 (step @p320 :rule trans :premises (@p319 @p199)) % 0.38/0.68 (step @p321 :rule refl :args (@t192)) % 0.38/0.68 (step @p322 :rule refl :args (@t193)) % 0.38/0.68 (step @p323 :rule nary_cong :premises (@p322 @p321 @p320) :args (@t196)) % 0.38/0.68 (step @p324 :rule trans :premises (@p323 @p317)) % 0.38/0.68 (step @p325 :rule quant-var-elim-eq :args ((= (forall @t154 @t198) @t196))) % 0.38/0.68 (step @p326 :rule aci_norm :args ((= @t199 @t198))) % 0.38/0.68 (step @p327 :rule cong :premises (@p326) :args (@t200)) % 0.38/0.68 (step @p328 :rule trans :premises (@p327 @p325)) % 0.38/0.68 (step @p329 :rule trans :premises (@p328 @p324)) % 0.38/0.68 (step @p330 :rule refl :args (@t146)) % 0.38/0.68 (step @p331 :rule refl :args (@t148)) % 0.38/0.68 (step @p332 :rule nary_cong :premises (@p331 @p330 @p329) :args (@t201)) % 0.38/0.68 (step @p333 :rule trans :premises (@p332 @p316)) % 0.38/0.68 (step @p334 :rule quant-miniscope-or :args ((= (forall @t154 @t202) @t201))) % 0.38/0.68 (step @p335 :rule aci_norm :args ((= @t203 @t202))) % 0.38/0.68 (step @p336 :rule cong :premises (@p335) :args ((forall @t154 @t203))) % 0.38/0.68 (step @p337 :rule trans :premises (@p336 @p334)) % 0.38/0.68 (step @p338 :rule trans :premises (@p337 @p333)) % 0.38/0.68 (step @p339 :rule eq-symm :args (@t150 @t149)) % 0.38/0.68 (step @p340 :rule cong :premises (@p339) :args (@t151)) % 0.38/0.68 (step @p341 :rule refl :args (@t152)) % 0.38/0.68 (step @p342 :rule refl :args (@t153)) % 0.38/0.68 (step @p343 :rule nary_cong :premises (@p342 @p341 @p340 @p331 @p330) :args (@t160)) % 0.38/0.68 (step @p344 :rule cong :premises (@p343) :args (@t161)) % 0.38/0.68 (step @p345 :rule trans :premises (@p344 @p338)) % 0.38/0.68 (step @p346 :rule eq_resolve :premises (@p193 @p345)) % 0.38/0.68 (step @p347 :rule reordering :premises (@p346) :args ((or @t146 @t148 @t193 @t192))) % 0.38/0.68 (step @p348 :rule chain_m_resolution :premises (@p347 @p315 @p313 @p290) :args (@t192 @t204 (@list @t145 @t147 @t185))) % 0.38/0.68 (assume-push @p472 @t141) % 0.38/0.68 (assume-push @p473 @t142) % 0.38/0.68 (assume-push @p474 @t192) % 0.38/0.68 (assume-push @p475 @t141) % 0.38/0.68 (assume-push @p476 @t192) % 0.38/0.68 (assume-push @p477 @t142) % 0.38/0.68 (step @p355 :rule cong :premises (@p235) :args (@t150)) % 0.38/0.68 (step @p356 :rule trans :premises (@p188 @p474 @p355)) % 0.38/0.68 (step-pop @p478 :rule scope :premises (@p356)) % 0.38/0.68 (step-pop @p479 :rule scope :premises (@p478)) % 0.38/0.68 (step-pop @p480 :rule scope :premises (@p479)) % 0.38/0.68 (step @p357 :rule process_scope :premises (@p480) :args (@t205)) % 0.38/0.68 (step @p361 :rule and_intro :premises (@p187 @p474 @p188)) % 0.38/0.68 (step @p362 :rule modus_ponens :premises (@p361 @p357)) % 0.38/0.68 (step-pop @p481 :rule scope :premises (@p362)) % 0.38/0.68 (step-pop @p482 :rule scope :premises (@p481)) % 0.38/0.68 (step-pop @p483 :rule scope :premises (@p482)) % 0.38/0.68 (step @p363 :rule process_scope :premises (@p483) :args (@t205)) % 0.38/0.68 (step @p367 :rule implies_elim :premises (@p363)) % 0.38/0.68 (step @p368 :rule cnf_and_neg :args (@t206)) % 0.38/0.68 (step @p369 :rule resolution :premises (@p368 @p367) :args (true @t206)) % 0.38/0.68 (step @p370 :rule reordering :premises (@p369) :args ((or @t205 @t180 (not @t142) (not @t192)))) % 0.38/0.68 (step @p371 :rule chain_m_resolution :premises (@p370 @p187 @p188 @p348) :args (@t205 @t204 (@list @t141 @t142 @t192))) % 0.38/0.68 (assume-push @p484 @t141) % 0.38/0.68 (assume-push @p485 @t185) % 0.38/0.68 (assume-push @p486 @t185) % 0.38/0.68 (assume-push @p487 @t141) % 0.38/0.68 (step @p376 :rule true_intro :premises (@p485)) % 0.38/0.68 (step @p377 :rule cong :premises (@p187) :args (@t158)) % 0.38/0.68 (step @p378 :rule cong :premises (@p377) :args (@t207)) % 0.38/0.68 (step @p379 :rule trans :premises (@p378 @p376)) % 0.38/0.68 (step @p380 :rule true_elim :premises (@p379)) % 0.38/0.68 (step-pop @p488 :rule scope :premises (@p380)) % 0.38/0.68 (step-pop @p489 :rule scope :premises (@p488)) % 0.38/0.68 (step @p381 :rule process_scope :premises (@p489) :args (@t207)) % 0.38/0.68 (step @p384 :rule and_intro :premises (@p485 @p187)) % 0.38/0.68 (step @p385 :rule modus_ponens :premises (@p384 @p381)) % 0.38/0.68 (step-pop @p490 :rule scope :premises (@p385)) % 0.38/0.68 (step-pop @p491 :rule scope :premises (@p490)) % 0.38/0.68 (step @p386 :rule process_scope :premises (@p491) :args (@t207)) % 0.38/0.68 (step @p389 :rule implies_elim :premises (@p386)) % 0.38/0.68 (step @p390 :rule cnf_and_neg :args (@t208)) % 0.38/0.68 (step @p391 :rule resolution :premises (@p390 @p389) :args (true @t208)) % 0.38/0.68 (step @p392 :rule reordering :premises (@p391) :args ((or @t193 @t207 @t180))) % 0.38/0.68 (step @p393 :rule chain_m_resolution :premises (@p392 @p290 @p187) :args (@t207 @t176 (@list @t185 @t141))) % 0.38/0.68 (assume-push @p492 @t141) % 0.38/0.68 (assume-push @p493 @t147) % 0.38/0.68 (assume-push @p494 @t147) % 0.38/0.68 (assume-push @p495 @t141) % 0.38/0.68 (step @p398 :rule true_intro :premises (@p493)) % 0.38/0.68 (step @p399 :rule cong :premises (@p234 @p187) :args (@t155)) % 0.38/0.68 (step @p400 :rule trans :premises (@p399 @p398)) % 0.38/0.68 (step @p401 :rule true_elim :premises (@p400)) % 0.38/0.68 (step-pop @p496 :rule scope :premises (@p401)) % 0.38/0.68 (step-pop @p497 :rule scope :premises (@p496)) % 0.38/0.68 (step @p402 :rule process_scope :premises (@p497) :args (@t155)) % 0.38/0.68 (step @p405 :rule and_intro :premises (@p493 @p187)) % 0.38/0.68 (step @p406 :rule modus_ponens :premises (@p405 @p402)) % 0.38/0.68 (step-pop @p498 :rule scope :premises (@p406)) % 0.38/0.68 (step-pop @p499 :rule scope :premises (@p498)) % 0.38/0.68 (step @p407 :rule process_scope :premises (@p499) :args (@t155)) % 0.38/0.68 (step @p410 :rule implies_elim :premises (@p407)) % 0.38/0.68 (step @p411 :rule cnf_and_neg :args (@t209)) % 0.38/0.68 (step @p412 :rule resolution :premises (@p411 @p410) :args (true @t209)) % 0.38/0.68 (step @p413 :rule reordering :premises (@p412) :args ((or @t148 @t155 @t180))) % 0.38/0.68 (step @p414 :rule chain_m_resolution :premises (@p413 @p313 @p187) :args (@t155 @t176 (@list @t147 @t141))) % 0.38/0.68 (step @p415 :rule aci_norm :args ((= (or @t156 @t146 @t212) (or @t156 @t146 @t211 @t210)))) % 0.38/0.68 (step @p416 :rule aci_norm :args ((= (or @t211 false @t210) @t212))) % 0.38/0.68 (step @p417 :rule refl :args (@t210)) % 0.38/0.68 (step @p418 :rule eq-refl :args (@t158)) % 0.38/0.68 (step @p419 :rule cong :premises (@p418) :args (@t213)) % 0.38/0.68 (step @p420 :rule trans :premises (@p419 @p199)) % 0.38/0.68 (step @p421 :rule refl :args (@t211)) % 0.38/0.68 (step @p422 :rule nary_cong :premises (@p421 @p420 @p417) :args (@t214)) % 0.38/0.68 (step @p423 :rule trans :premises (@p422 @p416)) % 0.38/0.68 (step @p424 :rule quant-var-elim-eq :args ((= (forall @t154 @t216) @t214))) % 0.38/0.68 (step @p425 :rule aci_norm :args ((= @t217 @t216))) % 0.38/0.68 (step @p426 :rule cong :premises (@p425) :args (@t218)) % 0.38/0.68 (step @p427 :rule trans :premises (@p426 @p424)) % 0.38/0.68 (step @p428 :rule trans :premises (@p427 @p423)) % 0.38/0.68 (step @p429 :rule refl :args (@t156)) % 0.38/0.68 (step @p430 :rule nary_cong :premises (@p429 @p330 @p428) :args (@t219)) % 0.38/0.68 (step @p431 :rule trans :premises (@p430 @p415)) % 0.38/0.68 (step @p432 :rule quant-miniscope-or :args ((= (forall @t154 @t220) @t219))) % 0.38/0.68 (step @p433 :rule aci_norm :args ((= @t221 @t220))) % 0.38/0.68 (step @p434 :rule cong :premises (@p433) :args ((forall @t154 @t221))) % 0.38/0.68 (step @p435 :rule trans :premises (@p434 @p432)) % 0.38/0.68 (step @p436 :rule trans :premises (@p435 @p431)) % 0.38/0.68 (step @p437 :rule refl :args (@t157)) % 0.38/0.68 (step @p438 :rule eq-symm :args (@t158 @t149)) % 0.38/0.68 (step @p439 :rule cong :premises (@p438) :args (@t159)) % 0.38/0.68 (step @p440 :rule nary_cong :premises (@p342 @p439 @p437 @p429 @p330) :args (@t162)) % 0.38/0.68 (step @p441 :rule cong :premises (@p440) :args (@t163)) % 0.38/0.68 (step @p442 :rule trans :premises (@p441 @p436)) % 0.38/0.68 (step @p443 :rule eq_resolve :premises (@p194 @p442)) % 0.38/0.68 (step @p444 :rule reordering :premises (@p443) :args ((or @t146 @t156 @t211 @t210))) % 0.38/0.68 (step @p445 false :rule chain_m_resolution :premises (@p444 @p414 @p393 @p315 @p371) :args (false (@list false false false false) (@list @t155 @t207 @t145 @t205))) % 0.38/0.68 ) % 0.38/0.68 % SZS output end Proof % 0.38/0.68 % cvc5 exiting %------------------------------------------------------------------------------