%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC071-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:57:56 AM UTC 2026 % Result : Unsatisfiable 2.12s 2.32s % Output : Proof 2.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC071-1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.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 19:12:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.12/2.32 % SZS status Unsatisfiable % 2.12/2.32 % SZS output start Proof % 2.12/2.34 ( % 2.12/2.34 (declare-sort $$unsorted 0) % 2.12/2.34 (declare-const tptp.sk4 $$unsorted) % 2.12/2.34 (declare-const tptp.sk2 $$unsorted) % 2.12/2.34 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.sk7 $$unsorted) % 2.12/2.34 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.sk5 $$unsorted) % 2.12/2.34 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.nil $$unsorted) % 2.12/2.34 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.sk1 $$unsorted) % 2.12/2.34 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.skac2 $$unsorted) % 2.12/2.34 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.sk3 $$unsorted) % 2.12/2.34 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.ssList (-> $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skac3 $$unsorted) % 2.12/2.34 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.34 (declare-const tptp.sk6 $$unsorted) % 2.12/2.34 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 2.12/2.34 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 2.12/2.34 (define @t1 () (tptp.ssList tptp.nil)) % 2.12/2.34 (define @t2 () (@var "U" $$unsorted)) % 2.12/2.34 (define @t3 () (tptp.skaf83 @t2)) % 2.12/2.34 (define @t4 () (@list @t2)) % 2.12/2.34 (define @t5 () (tptp.skaf82 @t2)) % 2.12/2.34 (define @t6 () (tptp.skaf81 @t2)) % 2.12/2.34 (define @t7 () (tptp.skaf80 @t2)) % 2.12/2.34 (define @t8 () (tptp.skaf79 @t2)) % 2.12/2.34 (define @t9 () (tptp.skaf78 @t2)) % 2.12/2.34 (define @t10 () (tptp.skaf77 @t2)) % 2.12/2.34 (define @t11 () (tptp.skaf76 @t2)) % 2.12/2.34 (define @t12 () (tptp.skaf75 @t2)) % 2.12/2.34 (define @t13 () (tptp.skaf74 @t2)) % 2.12/2.34 (define @t14 () (tptp.skaf73 @t2)) % 2.12/2.34 (define @t15 () (tptp.skaf72 @t2)) % 2.12/2.34 (define @t16 () (tptp.skaf71 @t2)) % 2.12/2.34 (define @t17 () (tptp.skaf70 @t2)) % 2.12/2.34 (define @t18 () (tptp.skaf69 @t2)) % 2.12/2.34 (define @t19 () (tptp.skaf68 @t2)) % 2.12/2.34 (define @t20 () (tptp.skaf67 @t2)) % 2.12/2.34 (define @t21 () (tptp.skaf66 @t2)) % 2.12/2.34 (define @t22 () (tptp.skaf65 @t2)) % 2.12/2.34 (define @t23 () (tptp.skaf64 @t2)) % 2.12/2.34 (define @t24 () (tptp.skaf63 @t2)) % 2.12/2.34 (define @t25 () (tptp.skaf62 @t2)) % 2.12/2.34 (define @t26 () (tptp.skaf61 @t2)) % 2.12/2.34 (define @t27 () (tptp.skaf60 @t2)) % 2.12/2.34 (define @t28 () (tptp.skaf59 @t2)) % 2.12/2.34 (define @t29 () (tptp.skaf58 @t2)) % 2.12/2.34 (define @t30 () (tptp.skaf57 @t2)) % 2.12/2.34 (define @t31 () (tptp.skaf56 @t2)) % 2.12/2.34 (define @t32 () (tptp.skaf55 @t2)) % 2.12/2.34 (define @t33 () (tptp.skaf54 @t2)) % 2.12/2.34 (define @t34 () (tptp.skaf53 @t2)) % 2.12/2.34 (define @t35 () (tptp.skaf52 @t2)) % 2.12/2.34 (define @t36 () (tptp.skaf51 @t2)) % 2.12/2.34 (define @t37 () (tptp.skaf50 @t2)) % 2.12/2.34 (define @t38 () (tptp.skaf49 @t2)) % 2.12/2.34 (define @t39 () (tptp.skaf44 @t2)) % 2.12/2.34 (define @t40 () (@var "V" $$unsorted)) % 2.12/2.34 (define @t41 () (@list @t2 @t40)) % 2.12/2.34 (define @t42 () (tptp.skaf47 @t2 @t40)) % 2.12/2.34 (define @t43 () (tptp.skaf46 @t2 @t40)) % 2.12/2.34 (define @t44 () (tptp.skaf45 @t2 @t40)) % 2.12/2.34 (define @t45 () (tptp.skaf42 @t2 @t40)) % 2.12/2.34 (define @t46 () (not (tptp.ssItem @t2))) % 2.12/2.34 (define @t47 () (not (tptp.ssList @t2))) % 2.12/2.34 (define @t48 () (tptp.cons @t2 tptp.nil)) % 2.12/2.34 (define @t49 () (tptp.ssItem @t40)) % 2.12/2.34 (define @t50 () (tptp.duplicatefreeP @t2)) % 2.12/2.34 (define @t51 () (= tptp.nil @t2)) % 2.12/2.34 (define @t52 () (tptp.tl @t2)) % 2.12/2.34 (define @t53 () (tptp.hd @t2)) % 2.12/2.34 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 2.12/2.34 (define @t55 () (not @t51)) % 2.12/2.34 (define @t56 () (tptp.rearsegP tptp.nil @t2)) % 2.12/2.34 (define @t57 () (tptp.frontsegP tptp.nil @t2)) % 2.12/2.34 (define @t58 () (tptp.app @t40 @t2)) % 2.12/2.34 (define @t59 () (not (tptp.ssList @t40))) % 2.12/2.34 (define @t60 () (tptp.cons @t2 @t40)) % 2.12/2.34 (define @t61 () (tptp.cyclefreeP @t2)) % 2.12/2.34 (define @t62 () (tptp.equalelemsP @t2)) % 2.12/2.34 (define @t63 () (tptp.strictorderedP @t2)) % 2.12/2.34 (define @t64 () (tptp.totalorderedP @t2)) % 2.12/2.34 (define @t65 () (tptp.strictorderP @t2)) % 2.12/2.34 (define @t66 () (tptp.totalorderP @t2)) % 2.12/2.34 (define @t67 () (not (= @t60 tptp.nil))) % 2.12/2.34 (define @t68 () (or @t67 @t46 @t59)) % 2.12/2.34 (define @t69 () (forall @t41 @t68)) % 2.12/2.34 (define @t70 () (= @t40 @t2)) % 2.12/2.34 (define @t71 () (tptp.neq @t40 @t2)) % 2.12/2.34 (define @t72 () (or @t47 @t59 @t71 @t70)) % 2.12/2.34 (define @t73 () (forall @t41 @t72)) % 2.12/2.34 (define @t74 () (not @t49)) % 2.12/2.34 (define @t75 () (tptp.leq @t2 @t40)) % 2.12/2.34 (define @t76 () (tptp.lt @t2 @t40)) % 2.12/2.34 (define @t77 () (not @t76)) % 2.12/2.34 (define @t78 () (tptp.lt @t40 @t2)) % 2.12/2.34 (define @t79 () (not (tptp.gt @t2 @t40))) % 2.12/2.34 (define @t80 () (tptp.gt @t40 @t2)) % 2.12/2.34 (define @t81 () (tptp.leq @t40 @t2)) % 2.12/2.34 (define @t82 () (not (tptp.geq @t2 @t40))) % 2.12/2.34 (define @t83 () (tptp.geq @t40 @t2)) % 2.12/2.34 (define @t84 () (not @t75)) % 2.12/2.34 (define @t85 () (= @t2 @t40)) % 2.12/2.34 (define @t86 () (not @t85)) % 2.12/2.34 (define @t87 () (tptp.cons @t40 @t2)) % 2.12/2.34 (define @t88 () (not (tptp.neq @t2 @t40))) % 2.12/2.34 (define @t89 () (tptp.app @t2 @t40)) % 2.12/2.34 (define @t90 () (= @t89 tptp.nil)) % 2.12/2.34 (define @t91 () (not @t90)) % 2.12/2.34 (define @t92 () (= tptp.nil @t40)) % 2.12/2.34 (define @t93 () (tptp.hd @t40)) % 2.12/2.34 (define @t94 () (tptp.strictorderedP @t40)) % 2.12/2.34 (define @t95 () (tptp.strictorderedP @t60)) % 2.12/2.34 (define @t96 () (not @t95)) % 2.12/2.34 (define @t97 () (tptp.totalorderedP @t40)) % 2.12/2.34 (define @t98 () (tptp.totalorderedP @t60)) % 2.12/2.34 (define @t99 () (not @t98)) % 2.12/2.34 (define @t100 () (not (tptp.segmentP @t2 @t40))) % 2.12/2.34 (define @t101 () (not (tptp.rearsegP @t2 @t40))) % 2.12/2.34 (define @t102 () (not (tptp.frontsegP @t2 @t40))) % 2.12/2.34 (define @t103 () (not @t81)) % 2.12/2.34 (define @t104 () (tptp.tl @t40)) % 2.12/2.34 (define @t105 () (tptp.lt @t2 @t93)) % 2.12/2.34 (define @t106 () (tptp.leq @t2 @t93)) % 2.12/2.34 (define @t107 () (@var "W" $$unsorted)) % 2.12/2.34 (define @t108 () (tptp.app @t107 @t2)) % 2.12/2.34 (define @t109 () (not (tptp.ssList @t107))) % 2.12/2.34 (define @t110 () (@list @t2 @t40 @t107)) % 2.12/2.34 (define @t111 () (tptp.app @t2 @t107)) % 2.12/2.34 (define @t112 () (tptp.cons @t40 @t107)) % 2.12/2.34 (define @t113 () (tptp.cons @t107 @t2)) % 2.12/2.34 (define @t114 () (not (tptp.ssItem @t107))) % 2.12/2.34 (define @t115 () (not (tptp.memberP @t2 @t40))) % 2.12/2.34 (define @t116 () (not (= @t89 @t107))) % 2.12/2.34 (define @t117 () (tptp.lt @t2 @t107)) % 2.12/2.34 (define @t118 () (not (tptp.lt @t40 @t107))) % 2.12/2.34 (define @t119 () (tptp.app @t107 @t40)) % 2.12/2.34 (define @t120 () (= @t40 @t107)) % 2.12/2.34 (define @t121 () (= @t2 @t107)) % 2.12/2.34 (define @t122 () (tptp.memberP @t40 @t107)) % 2.12/2.34 (define @t123 () (@var "X" $$unsorted)) % 2.12/2.34 (define @t124 () (not (tptp.ssList @t123))) % 2.12/2.34 (define @t125 () (tptp.cons @t107 @t123)) % 2.12/2.34 (define @t126 () (not (= @t60 @t125))) % 2.12/2.34 (define @t127 () (@list @t2 @t40 @t107 @t123)) % 2.12/2.34 (define @t128 () (tptp.segmentP @t123 @t40)) % 2.12/2.34 (define @t129 () (tptp.app @t89 @t107)) % 2.12/2.34 (define @t130 () (not (= @t129 @t123))) % 2.12/2.34 (define @t131 () (or @t130 @t109 @t47 @t59 @t124 @t128)) % 2.12/2.34 (define @t132 () (forall @t127 @t131)) % 2.12/2.34 (define @t133 () (not (tptp.frontsegP @t60 @t125))) % 2.12/2.34 (define @t134 () (tptp.app @t2 @t112)) % 2.12/2.34 (define @t135 () (not (tptp.ssItem @t123))) % 2.12/2.34 (define @t136 () (@var "Y" $$unsorted)) % 2.12/2.34 (define @t137 () (not (tptp.ssList @t136))) % 2.12/2.34 (define @t138 () (@list @t2 @t40 @t107 @t123 @t136)) % 2.12/2.34 (define @t139 () (tptp.lt @t40 @t123)) % 2.12/2.34 (define @t140 () (@var "Z" $$unsorted)) % 2.12/2.34 (define @t141 () (not (tptp.ssList @t140))) % 2.12/2.34 (define @t142 () (not (= (tptp.app @t134 (tptp.cons @t123 @t136)) @t140))) % 2.12/2.34 (define @t143 () (@list @t2 @t40 @t107 @t123 @t136 @t140)) % 2.12/2.34 (define @t144 () (tptp.leq @t40 @t123)) % 2.12/2.34 (define @t145 () (tptp.ssList tptp.sk1)) % 2.12/2.34 (define @t146 () (tptp.ssList tptp.sk2)) % 2.12/2.34 (define @t147 () (tptp.ssList tptp.sk3)) % 2.12/2.34 (define @t148 () (= tptp.sk2 tptp.sk4)) % 2.12/2.34 (define @t149 () (= tptp.sk1 tptp.sk3)) % 2.12/2.34 (define @t150 () (@var "A" $$unsorted)) % 2.12/2.34 (define @t151 () (@list @t150)) % 2.12/2.34 (define @t152 () (= tptp.nil tptp.sk1)) % 2.12/2.34 (define @t153 () (not @t152)) % 2.12/2.34 (define @t154 () (= tptp.nil tptp.sk2)) % 2.12/2.34 (define @t155 () (= tptp.nil tptp.sk4)) % 2.12/2.34 (define @t156 () (tptp.ssItem tptp.sk5)) % 2.12/2.34 (define @t157 () (= tptp.nil tptp.sk3)) % 2.12/2.34 (define @t158 () (tptp.ssList tptp.sk6)) % 2.12/2.34 (define @t159 () (tptp.ssList tptp.sk7)) % 2.12/2.34 (define @t160 () (tptp.cons tptp.sk5 tptp.nil)) % 2.12/2.34 (define @t161 () (= @t160 tptp.sk3)) % 2.12/2.34 (define @t162 () (or @t161 @t155)) % 2.12/2.34 (define @t163 () (tptp.app (tptp.app tptp.sk6 tptp.sk3) tptp.sk7)) % 2.12/2.34 (define @t164 () (= @t163 tptp.sk4)) % 2.12/2.34 (define @t165 () (not (tptp.lt tptp.sk5 @t150))) % 2.12/2.34 (define @t166 () (not (tptp.memberP tptp.sk6 @t150))) % 2.12/2.34 (define @t167 () (not (tptp.ssItem @t150))) % 2.12/2.34 (define @t168 () (not (tptp.lt @t150 tptp.sk5))) % 2.12/2.34 (define @t169 () (not (tptp.memberP tptp.sk7 @t150))) % 2.12/2.34 (define @t170 () (or @t164 @t157)) % 2.12/2.34 (define @t171 () (tptp.segmentP tptp.sk1 tptp.sk1)) % 2.12/2.34 (define @t172 () (not @t145)) % 2.12/2.34 (define @t173 () (or @t172 @t171)) % 2.12/2.34 (define @t174 () (tptp.segmentP tptp.sk1 tptp.sk3)) % 2.12/2.34 (define @t175 () (tptp.segmentP @t129 @t40)) % 2.12/2.34 (define @t176 () (not (tptp.ssList @t129))) % 2.12/2.34 (define @t177 () (not (= @t129 @t129))) % 2.12/2.34 (define @t178 () (or @t177 @t109 @t47 @t59 @t176 @t175)) % 2.12/2.34 (define @t179 () (not (= @t123 @t129))) % 2.12/2.34 (define @t180 () (or @t179 @t179 @t109 @t47 @t59 @t124 @t128)) % 2.12/2.34 (define @t181 () (@list @t123)) % 2.12/2.34 (define @t182 () (or @t179 @t109 @t47 @t59 @t124 @t128)) % 2.12/2.34 (define @t183 () (forall @t181 @t182)) % 2.12/2.34 (define @t184 () (forall @t110 @t183)) % 2.12/2.34 (define @t185 () (and @t148 @t155)) % 2.12/2.34 (define @t186 () (= tptp.sk3 @t160)) % 2.12/2.34 (define @t187 () (not @t1)) % 2.12/2.34 (define @t188 () (not @t156)) % 2.12/2.34 (define @t189 () (= tptp.nil @t160)) % 2.12/2.34 (define @t190 () (not @t189)) % 2.12/2.34 (define @t191 () (or @t190 @t188 @t187)) % 2.12/2.34 (define @t192 () (and @t149 @t152 @t186)) % 2.12/2.34 (define @t193 () (not @t149)) % 2.12/2.34 (define @t194 () (and @t149 @t157)) % 2.12/2.34 (define @t195 () (not @t157)) % 2.12/2.34 (define @t196 () (@list true false)) % 2.12/2.34 (define @t197 () (= tptp.sk4 @t163)) % 2.12/2.34 (define @t198 () (@list true)) % 2.12/2.34 (define @t199 () (@list @t157)) % 2.12/2.34 (define @t200 () (tptp.ssList @t163)) % 2.12/2.34 (define @t201 () (and @t146 @t148 @t197)) % 2.12/2.34 (define @t202 () (@list false false false)) % 2.12/2.34 (define @t203 () (tptp.segmentP @t163 tptp.sk3)) % 2.12/2.34 (define @t204 () (not @t200)) % 2.12/2.34 (define @t205 () (not @t147)) % 2.12/2.34 (define @t206 () (not @t158)) % 2.12/2.34 (define @t207 () (not @t159)) % 2.12/2.34 (define @t208 () (or @t207 @t206 @t205 @t204 @t203)) % 2.12/2.34 (define @t209 () (tptp.segmentP tptp.sk2 tptp.sk3)) % 2.12/2.34 (define @t210 () (and @t148 @t197 @t203)) % 2.12/2.34 (define @t211 () (not @t174)) % 2.12/2.34 (define @t212 () (not @t209)) % 2.12/2.34 (define @t213 () (tptp.neq tptp.sk3 tptp.nil)) % 2.12/2.34 (define @t214 () (not @t213)) % 2.12/2.34 (define @t215 () (or @t205 @t214 @t212 @t211)) % 2.12/2.34 (define @t216 () (or @t187 @t205 @t213 @t157)) % 2.12/2.34 (define @t217 () (not @t216)) % 2.12/2.34 (define @t218 () (forall @t41 (or @t47 @t59 @t71 @t85))) % 2.12/2.34 (assume @p1 (tptp.equalelemsP tptp.nil)) % 2.12/2.34 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 2.12/2.34 (assume @p3 (tptp.strictorderedP tptp.nil)) % 2.12/2.34 (assume @p4 (tptp.totalorderedP tptp.nil)) % 2.12/2.34 (assume @p5 (tptp.strictorderP tptp.nil)) % 2.12/2.34 (assume @p6 (tptp.totalorderP tptp.nil)) % 2.12/2.34 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 2.12/2.34 (assume @p8 @t1) % 2.12/2.34 (assume @p9 (tptp.ssItem tptp.skac3)) % 2.12/2.34 (assume @p10 (tptp.ssItem tptp.skac2)) % 2.12/2.34 (assume @p11 (not (tptp.singletonP tptp.nil))) % 2.12/2.34 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 2.12/2.34 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 2.12/2.34 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 2.12/2.34 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 2.12/2.34 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 2.12/2.34 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 2.12/2.34 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 2.12/2.34 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 2.12/2.34 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 2.12/2.34 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 2.12/2.34 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 2.12/2.34 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 2.12/2.34 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 2.12/2.34 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 2.12/2.34 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 2.12/2.34 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 2.12/2.34 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 2.12/2.34 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 2.12/2.34 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 2.12/2.34 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 2.12/2.34 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 2.12/2.34 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 2.12/2.34 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 2.12/2.34 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 2.12/2.34 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 2.12/2.34 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 2.12/2.34 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 2.12/2.34 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 2.12/2.34 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 2.12/2.34 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 2.12/2.34 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 2.12/2.34 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 2.12/2.34 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 2.12/2.34 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 2.12/2.34 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 2.12/2.34 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 2.12/2.34 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 2.12/2.34 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 2.12/2.34 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 2.12/2.34 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 2.12/2.34 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 2.12/2.34 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 2.12/2.34 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 2.12/2.34 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 2.12/2.34 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 2.12/2.34 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 2.12/2.34 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 2.12/2.34 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 2.12/2.34 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 2.12/2.34 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 2.12/2.34 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 2.12/2.34 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 2.12/2.34 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 2.12/2.34 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 2.12/2.34 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 2.12/2.34 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 2.12/2.34 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 2.12/2.34 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 2.12/2.34 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 2.12/2.34 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 2.12/2.34 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 2.12/2.34 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 2.12/2.34 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 2.12/2.34 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 2.12/2.34 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 2.12/2.34 (assume @p77 (forall @t4 (or @t55 @t47 @t54))) % 2.12/2.34 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 2.12/2.34 (assume @p79 (forall @t4 (or @t55 @t47 @t56))) % 2.12/2.34 (assume @p80 (forall @t4 (or (not @t56) @t47 @t51))) % 2.12/2.34 (assume @p81 (forall @t4 (or @t55 @t47 @t57))) % 2.12/2.34 (assume @p82 (forall @t4 (or (not @t57) @t47 @t51))) % 2.12/2.34 (assume @p83 (forall @t41 (or @t47 @t59 (tptp.ssList @t58)))) % 2.12/2.34 (assume @p84 (forall @t41 (or @t46 @t59 (tptp.ssList @t60)))) % 2.12/2.34 (assume @p85 (forall @t4 (or @t47 @t61 (tptp.leq @t37 @t38)))) % 2.12/2.34 (assume @p86 (forall @t4 (or @t47 @t61 (tptp.leq @t38 @t37)))) % 2.12/2.34 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t62))) % 2.12/2.34 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t63))) % 2.12/2.34 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t64))) % 2.12/2.34 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t65))) % 2.12/2.34 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t65))) % 2.12/2.34 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t66))) % 2.12/2.34 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t66))) % 2.12/2.34 (assume @p94 (forall @t41 (or @t46 @t59 (= (tptp.tl @t60) @t40)))) % 2.12/2.34 (assume @p95 (forall @t41 (or @t46 @t59 (= (tptp.hd @t60) @t2)))) % 2.12/2.34 (assume @p96 @t69) % 2.12/2.34 (assume @p97 (forall @t41 (or (not (= @t60 @t40)) @t46 @t59))) % 2.12/2.34 (assume @p98 @t73) % 2.12/2.34 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 2.12/2.34 (assume @p100 (forall @t41 (or @t46 @t74 @t71 @t70))) % 2.12/2.34 (assume @p101 (forall @t41 (or @t77 @t74 @t46 @t75))) % 2.12/2.34 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 2.12/2.34 (assume @p103 (forall @t41 (or @t79 @t74 @t46 @t78))) % 2.12/2.34 (assume @p104 (forall @t41 (or @t77 @t46 @t74 @t80))) % 2.12/2.34 (assume @p105 (forall @t41 (or @t82 @t74 @t46 @t81))) % 2.12/2.34 (assume @p106 (forall @t41 (or @t84 @t46 @t74 @t83))) % 2.12/2.34 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 2.12/2.34 (assume @p108 (forall @t41 (or @t79 (not @t80) @t46 @t74))) % 2.12/2.34 (assume @p109 (forall @t41 (or @t86 @t77 @t74 @t46))) % 2.12/2.34 (assume @p110 (forall @t41 (or @t55 @t47 @t74 (tptp.strictorderedP @t87)))) % 2.12/2.34 (assume @p111 (forall @t41 (or @t55 @t47 @t74 (tptp.totalorderedP @t87)))) % 2.12/2.34 (assume @p112 (forall @t41 (or @t77 (not @t78) @t46 @t74))) % 2.12/2.34 (assume @p113 (forall @t41 (or @t86 @t88 @t59 @t47))) % 2.12/2.34 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t59 (tptp.singletonP @t40)))) % 2.12/2.34 (assume @p115 (forall @t41 (or @t86 @t88 @t74 @t46))) % 2.12/2.34 (assume @p116 (forall @t41 (or @t91 @t59 @t47 @t51))) % 2.12/2.34 (assume @p117 (forall @t41 (or @t91 @t59 @t47 @t92))) % 2.12/2.34 (assume @p118 (forall @t41 (or @t46 @t59 (= (tptp.app @t48 @t40) @t60)))) % 2.12/2.34 (assume @p119 (forall @t41 (or @t84 @t74 @t46 @t76 @t85))) % 2.12/2.34 (assume @p120 (forall @t41 (or @t47 @t59 @t92 (= (tptp.hd @t58) @t93)))) % 2.12/2.34 (assume @p121 (forall @t41 (or @t96 @t59 @t46 @t94 @t92))) % 2.12/2.34 (assume @p122 (forall @t41 (or @t99 @t59 @t46 @t97 @t92))) % 2.12/2.34 (assume @p123 (forall @t41 (or @t82 (not @t83) @t46 @t74 @t70))) % 2.12/2.34 (assume @p124 (forall @t41 (or @t100 (not (tptp.segmentP @t40 @t2)) @t47 @t59 @t70))) % 2.12/2.34 (assume @p125 (forall @t41 (or @t101 (not (tptp.rearsegP @t40 @t2)) @t47 @t59 @t70))) % 2.12/2.34 (assume @p126 (forall @t41 (or @t102 (not (tptp.frontsegP @t40 @t2)) @t47 @t59 @t70))) % 2.12/2.34 (assume @p127 (forall @t41 (or @t84 @t103 @t46 @t74 @t70))) % 2.12/2.34 (assume @p128 (forall @t41 (or @t101 @t59 @t47 (= (tptp.app @t43 @t40) @t2)))) % 2.12/2.34 (assume @p129 (forall @t41 (or @t102 @t59 @t47 (= (tptp.app @t40 @t44) @t2)))) % 2.12/2.34 (assume @p130 (forall @t41 (or @t47 @t59 @t92 (= (tptp.tl @t58) (tptp.app @t104 @t2))))) % 2.12/2.34 (assume @p131 (forall @t41 (or @t96 @t59 @t46 @t105 @t92))) % 2.12/2.34 (assume @p132 (forall @t41 (or @t99 @t59 @t46 @t106 @t92))) % 2.12/2.34 (assume @p133 (forall @t110 (or @t101 @t109 @t59 @t47 (tptp.rearsegP @t108 @t40)))) % 2.12/2.34 (assume @p134 (forall @t110 (or @t102 @t109 @t59 @t47 (tptp.frontsegP @t111 @t40)))) % 2.12/2.34 (assume @p135 (forall @t110 (or @t86 @t109 @t74 @t46 (tptp.memberP @t112 @t2)))) % 2.12/2.34 (assume @p136 (forall @t110 (or @t115 @t47 @t114 @t74 (tptp.memberP @t113 @t40)))) % 2.12/2.34 (assume @p137 (forall @t110 (or @t115 @t109 @t47 @t74 (tptp.memberP @t111 @t40)))) % 2.12/2.34 (assume @p138 (forall @t110 (or @t115 @t47 @t109 @t74 (tptp.memberP @t108 @t40)))) % 2.12/2.34 (assume @p139 (forall @t4 (or @t47 @t62 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 2.12/2.34 (assume @p140 (forall @t110 (or @t116 @t47 @t59 @t109 (tptp.rearsegP @t107 @t40)))) % 2.12/2.34 (assume @p141 (forall @t110 (or @t116 @t59 @t47 @t109 (tptp.frontsegP @t107 @t2)))) % 2.12/2.34 (assume @p142 (forall @t41 (or @t55 (not @t92) @t59 @t47 @t90))) % 2.12/2.34 (assume @p143 (forall @t110 (or @t79 (not (tptp.gt @t40 @t107)) @t114 @t74 @t46 (tptp.gt @t2 @t107)))) % 2.12/2.34 (assume @p144 (forall @t110 (or @t84 @t118 @t114 @t74 @t46 @t117))) % 2.12/2.34 (assume @p145 (forall @t110 (or @t82 (not (tptp.geq @t40 @t107)) @t114 @t74 @t46 (tptp.geq @t2 @t107)))) % 2.12/2.34 (assume @p146 (forall @t110 (or @t47 @t59 @t109 (= (tptp.app @t119 @t2) (tptp.app @t107 @t58))))) % 2.12/2.34 (assume @p147 (forall @t110 (or (not (= @t89 @t111)) @t59 @t47 @t109 @t120))) % 2.12/2.34 (assume @p148 (forall @t110 (or (not (= @t89 @t119)) @t47 @t59 @t109 @t121))) % 2.12/2.34 (assume @p149 (forall @t110 (or @t100 (not (tptp.segmentP @t40 @t107)) @t109 @t59 @t47 (tptp.segmentP @t2 @t107)))) % 2.12/2.34 (assume @p150 (forall @t110 (or @t101 (not (tptp.rearsegP @t40 @t107)) @t109 @t59 @t47 (tptp.rearsegP @t2 @t107)))) % 2.12/2.34 (assume @p151 (forall @t110 (or @t102 (not (tptp.frontsegP @t40 @t107)) @t109 @t59 @t47 (tptp.frontsegP @t2 @t107)))) % 2.12/2.34 (assume @p152 (forall @t110 (or @t77 @t118 @t114 @t74 @t46 @t117))) % 2.12/2.34 (assume @p153 (forall @t110 (or @t84 (not (tptp.leq @t40 @t107)) @t114 @t74 @t46 (tptp.leq @t2 @t107)))) % 2.12/2.34 (assume @p154 (forall @t110 (or @t46 @t59 @t109 (= (tptp.cons @t2 (tptp.app @t40 @t107)) (tptp.app @t60 @t107))))) % 2.12/2.34 (assume @p155 (forall @t110 (or (not (tptp.memberP @t89 @t107)) @t59 @t47 @t114 @t122 (tptp.memberP @t2 @t107)))) % 2.12/2.34 (assume @p156 (forall @t41 (or (not @t106) (not @t97) @t59 @t46 @t98 @t92))) % 2.12/2.34 (assume @p157 (forall @t41 (or (not @t105) (not @t94) @t59 @t46 @t95 @t92))) % 2.12/2.34 (assume @p158 (forall @t110 (or (not (tptp.memberP @t60 @t107)) @t59 @t46 @t114 @t122 (= @t107 @t2)))) % 2.12/2.34 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 2.12/2.34 (assume @p160 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 2.12/2.34 (assume @p161 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 2.12/2.34 (assume @p162 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 2.12/2.34 (assume @p163 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 2.12/2.34 (assume @p164 (forall @t4 (or @t47 @t61 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 2.12/2.34 (assume @p165 (forall @t41 (or @t100 @t59 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 2.12/2.34 (assume @p166 (forall @t41 (or @t115 @t74 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 2.12/2.34 (assume @p167 (forall @t127 (or @t126 @t114 @t46 @t124 @t59 @t121))) % 2.12/2.34 (assume @p168 (forall @t127 (or @t126 @t114 @t46 @t124 @t59 (= @t123 @t40)))) % 2.12/2.34 (assume @p169 (forall @t127 (or @t100 @t109 @t124 @t59 @t47 (tptp.segmentP (tptp.app (tptp.app @t123 @t2) @t107) @t40)))) % 2.12/2.34 (assume @p170 @t132) % 2.12/2.34 (assume @p171 (forall @t127 (or @t133 @t124 @t59 @t114 @t46 (tptp.frontsegP @t40 @t123)))) % 2.12/2.34 (assume @p172 (forall @t127 (or (not (= @t134 @t123)) @t109 @t47 @t74 @t124 (tptp.memberP @t123 @t40)))) % 2.12/2.34 (assume @p173 (forall @t127 (or @t133 @t124 @t59 @t114 @t46 @t121))) % 2.12/2.34 (assume @p174 (forall @t41 (or (not (= @t52 @t104)) (not (= @t53 @t93)) @t47 @t59 @t92 @t85 @t51))) % 2.12/2.34 (assume @p175 (forall @t127 (or @t102 (not (= @t107 @t123)) @t59 @t47 @t135 @t114 (tptp.frontsegP @t113 (tptp.cons @t123 @t40))))) % 2.12/2.34 (assume @p176 (forall @t138 (or (not (= (tptp.app @t134 (tptp.cons @t40 @t123)) @t136)) @t124 @t109 @t47 @t74 (not (tptp.duplicatefreeP @t136)) @t137))) % 2.12/2.34 (assume @p177 (forall @t138 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t125)) @t136)) @t124 @t47 @t114 @t74 (not (tptp.equalelemsP @t136)) @t137 @t120))) % 2.12/2.34 (assume @p178 (forall @t143 (or @t142 @t137 @t109 @t47 @t135 @t74 (not (tptp.strictorderedP @t140)) @t141 @t139))) % 2.12/2.34 (assume @p179 (forall @t143 (or @t142 @t137 @t109 @t47 @t135 @t74 (not (tptp.totalorderedP @t140)) @t141 @t144))) % 2.12/2.34 (assume @p180 (forall @t143 (or @t142 @t137 @t109 @t47 @t135 @t74 (not (tptp.strictorderP @t140)) @t141 @t139 (tptp.lt @t123 @t40)))) % 2.12/2.34 (assume @p181 (forall @t143 (or @t142 @t137 @t109 @t47 @t135 @t74 (not (tptp.totalorderP @t140)) @t141 @t144 (tptp.leq @t123 @t40)))) % 2.12/2.34 (assume @p182 (forall @t143 (or @t84 @t103 (not (= (tptp.app (tptp.app @t107 (tptp.cons @t2 @t123)) (tptp.cons @t40 @t136)) @t140)) @t137 @t124 @t109 @t74 @t46 (not (tptp.cyclefreeP @t140)) @t141))) % 2.12/2.34 (assume @p183 @t145) % 2.12/2.34 (assume @p184 @t146) % 2.12/2.34 (assume @p185 @t147) % 2.12/2.34 (assume @p186 (tptp.ssList tptp.sk4)) % 2.12/2.34 (assume @p187 @t148) % 2.12/2.34 (assume @p188 @t149) % 2.12/2.34 (assume @p189 (forall @t151 (or (not (tptp.ssList @t150)) (not (tptp.neq @t150 tptp.nil)) (not (tptp.segmentP tptp.sk2 @t150)) (not (tptp.segmentP tptp.sk1 @t150))))) % 2.12/2.34 (assume @p190 (or (not @t154) @t153)) % 2.12/2.34 (assume @p191 (or @t156 @t155)) % 2.12/2.34 (assume @p192 (or @t156 @t157)) % 2.12/2.34 (assume @p193 (or @t158 @t155)) % 2.12/2.34 (assume @p194 (or @t159 @t155)) % 2.12/2.34 (assume @p195 @t162) % 2.12/2.34 (assume @p196 (or @t164 @t155)) % 2.12/2.34 (assume @p197 (forall @t151 (or @t167 @t166 @t165 @t155))) % 2.12/2.34 (assume @p198 (forall @t151 (or @t167 @t169 @t168 @t155))) % 2.12/2.34 (assume @p199 (or @t158 @t157)) % 2.12/2.34 (assume @p200 (or @t159 @t157)) % 2.12/2.34 (assume @p201 (or @t161 @t157)) % 2.12/2.34 (assume @p202 @t170) % 2.12/2.34 (assume @p203 (forall @t151 (or @t167 @t166 @t165 @t157))) % 2.12/2.34 (assume @p204 (forall @t151 (or @t167 @t169 @t168 @t157))) % 2.12/2.34 (step @p205 :rule eq-symm :args (@t40 @t2)) % 2.12/2.34 (step @p206 :rule refl :args (@t71)) % 2.12/2.34 (step @p207 :rule refl :args (@t59)) % 2.12/2.34 (step @p208 :rule refl :args (@t47)) % 2.12/2.34 (step @p209 :rule nary_cong :premises (@p208 @p207 @p206 @p205) :args (@t72)) % 2.12/2.34 (step @p210 :rule cong :premises (@p209) :args (@t73)) % 2.12/2.34 (step @p211 :rule eq_resolve :premises (@p98 @p210)) % 2.12/2.34 (step @p212 :rule instantiate :premises (@p189) :args ((@list tptp.sk3))) % 2.12/2.34 (step @p213 :rule instantiate :premises (@p57) :args ((@list tptp.sk1))) % 2.12/2.34 (step @p214 :rule cnf_or_pos :args (@t173)) % 2.12/2.34 (step @p215 :rule reordering :premises (@p214) :args ((or @t172 @t171 (not @t173)))) % 2.12/2.34 (step @p216 :rule chain_m_resolution :premises (@p215 @p183 @p213) :args (@t171 (@list false false) (@list @t145 @t173))) % 2.12/2.34 (step @p217 :rule true_intro :premises (@p216)) % 2.12/2.34 (step @p218 :rule symm :premises (@p188)) % 2.12/2.34 (step @p219 :rule refl :args (tptp.sk1)) % 2.12/2.34 (step @p220 :rule cong :premises (@p219 @p218) :args (@t174)) % 2.12/2.34 (step @p221 :rule trans :premises (@p220 @p217)) % 2.12/2.34 (step @p222 :rule true_elim :premises (@p221)) % 2.12/2.34 (step @p223 :rule aci_norm :args ((= (or false @t109 @t47 @t59 @t176 @t175) (or @t109 @t47 @t59 @t176 @t175)))) % 2.12/2.34 (step @p224 :rule refl :args (@t175)) % 2.12/2.34 (step @p225 :rule refl :args (@t176)) % 2.12/2.34 (step @p226 :rule refl :args (@t109)) % 2.12/2.34 (step @p227 :rule evaluate :args ((not true))) % 2.12/2.34 (step @p228 :rule eq-refl :args (@t129)) % 2.12/2.34 (step @p229 :rule cong :premises (@p228) :args (@t177)) % 2.12/2.34 (step @p230 :rule trans :premises (@p229 @p227)) % 2.12/2.34 (step @p231 :rule nary_cong :premises (@p230 @p226 @p208 @p207 @p225 @p224) :args (@t178)) % 2.12/2.34 (step @p232 :rule trans :premises (@p231 @p223)) % 2.12/2.34 (step @p233 :rule cong :premises (@p232) :args ((forall @t110 @t178))) % 2.12/2.34 (step @p234 :rule quant-var-elim-eq :args ((= (forall @t181 @t180) @t178))) % 2.12/2.34 (step @p235 :rule aci_norm :args ((= @t182 @t180))) % 2.12/2.34 (step @p236 :rule cong :premises (@p235) :args (@t183)) % 2.12/2.34 (step @p237 :rule trans :premises (@p236 @p234)) % 2.12/2.34 (step @p238 :rule cong :premises (@p237) :args (@t184)) % 2.12/2.34 (step @p239 :rule quant-merge-prenex :args ((= @t184 (forall @t127 @t182)))) % 2.12/2.34 (step @p240 :rule symm :premises (@p239)) % 2.12/2.34 (step @p241 :rule trans :premises (@p240 @p238)) % 2.12/2.34 (step @p242 :rule trans :premises (@p241 @p233)) % 2.12/2.34 (step @p243 :rule refl :args (@t128)) % 2.12/2.34 (step @p244 :rule refl :args (@t124)) % 2.12/2.34 (step @p245 :rule eq-symm :args (@t129 @t123)) % 2.12/2.34 (step @p246 :rule cong :premises (@p245) :args (@t130)) % 2.12/2.34 (step @p247 :rule nary_cong :premises (@p246 @p226 @p208 @p207 @p244 @p243) :args (@t131)) % 2.12/2.34 (step @p248 :rule cong :premises (@p247) :args (@t132)) % 2.12/2.34 (step @p249 :rule trans :premises (@p248 @p242)) % 2.12/2.34 (step @p250 :rule eq_resolve :premises (@p170 @p249)) % 2.12/2.34 (step @p251 :rule instantiate :premises (@p250) :args ((@list tptp.sk6 tptp.sk3 tptp.sk7))) % 2.12/2.34 (assume-push @p401 @t148) % 2.12/2.34 (assume-push @p402 @t155) % 2.12/2.34 (assume-push @p403 @t148) % 2.12/2.34 (assume-push @p404 @t155) % 2.12/2.34 (step @p256 :rule symm :premises (@p187)) % 2.12/2.34 (step @p257 :rule trans :premises (@p402 @p256)) % 2.12/2.34 (step-pop @p405 :rule scope :premises (@p257)) % 2.12/2.34 (step-pop @p406 :rule scope :premises (@p405)) % 2.12/2.34 (step @p258 :rule process_scope :premises (@p406) :args (@t154)) % 2.12/2.34 (step @p261 :rule and_intro :premises (@p187 @p402)) % 2.12/2.34 (step @p262 :rule modus_ponens :premises (@p261 @p258)) % 2.12/2.34 (step-pop @p407 :rule scope :premises (@p262)) % 2.12/2.34 (step-pop @p408 :rule scope :premises (@p407)) % 2.12/2.34 (step @p263 :rule process_scope :premises (@p408) :args (@t154)) % 2.12/2.34 (step @p266 :rule implies_elim :premises (@p263)) % 2.12/2.34 (step @p267 :rule cnf_and_neg :args (@t185)) % 2.12/2.34 (step @p268 :rule resolution :premises (@p267 @p266) :args (true @t185)) % 2.12/2.34 (step @p269 :rule reordering :premises (@p268) :args ((or @t154 (not @t148) (not @t155)))) % 2.12/2.34 (step @p270 :rule refl :args (@t155)) % 2.12/2.34 (step @p271 :rule eq-symm :args (@t160 tptp.sk3)) % 2.12/2.34 (step @p272 :rule nary_cong :premises (@p271 @p270) :args (@t162)) % 2.12/2.34 (step @p273 :rule eq_resolve :premises (@p195 @p272)) % 2.12/2.34 (step @p274 :rule reordering :premises (@p273) :args ((or @t155 @t186))) % 2.12/2.34 (step @p275 :rule refl :args (@t46)) % 2.12/2.34 (step @p276 :rule eq-symm :args (@t60 tptp.nil)) % 2.12/2.34 (step @p277 :rule cong :premises (@p276) :args (@t67)) % 2.12/2.34 (step @p278 :rule nary_cong :premises (@p277 @p275 @p207) :args (@t68)) % 2.12/2.34 (step @p279 :rule cong :premises (@p278) :args (@t69)) % 2.12/2.34 (step @p280 :rule eq_resolve :premises (@p96 @p279)) % 2.12/2.34 (step @p281 :rule instantiate :premises (@p280) :args ((@list tptp.sk5 tptp.nil))) % 2.12/2.34 (step @p282 :rule cnf_or_pos :args (@t191)) % 2.12/2.34 (step @p283 :rule reordering :premises (@p282) :args ((or @t187 @t188 @t190 (not @t191)))) % 2.12/2.34 (assume-push @p409 @t149) % 2.12/2.34 (assume-push @p410 @t152) % 2.12/2.34 (assume-push @p411 @t186) % 2.12/2.34 (assume-push @p412 @t186) % 2.12/2.34 (assume-push @p413 @t149) % 2.12/2.34 (assume-push @p414 @t152) % 2.12/2.34 (step @p290 :rule trans :premises (@p410 @p188 @p411)) % 2.12/2.34 (step-pop @p415 :rule scope :premises (@p290)) % 2.12/2.34 (step-pop @p416 :rule scope :premises (@p415)) % 2.12/2.34 (step-pop @p417 :rule scope :premises (@p416)) % 2.12/2.34 (step @p291 :rule process_scope :premises (@p417) :args (@t189)) % 2.12/2.34 (step @p295 :rule and_intro :premises (@p411 @p188 @p410)) % 2.12/2.34 (step @p296 :rule modus_ponens :premises (@p295 @p291)) % 2.12/2.34 (step-pop @p418 :rule scope :premises (@p296)) % 2.12/2.34 (step-pop @p419 :rule scope :premises (@p418)) % 2.12/2.34 (step-pop @p420 :rule scope :premises (@p419)) % 2.12/2.34 (step @p297 :rule process_scope :premises (@p420) :args (@t189)) % 2.12/2.34 (step @p301 :rule implies_elim :premises (@p297)) % 2.12/2.34 (step @p302 :rule cnf_and_neg :args (@t192)) % 2.12/2.34 (step @p303 :rule resolution :premises (@p302 @p301) :args (true @t192)) % 2.12/2.34 (step @p304 :rule reordering :premises (@p303) :args ((or @t153 @t193 (not @t186) @t189))) % 2.12/2.34 (step @p305 :rule chain_m_resolution :premises (@p304 @p188 @p283 @p281 @p8 @p274 @p191 @p269 @p187 @p190) :args (@t153 (@list false true false false false false true false true) (@list @t149 @t189 @t191 @t1 @t186 @t156 @t155 @t148 @t154))) % 2.12/2.34 (assume-push @p421 @t149) % 2.12/2.34 (assume-push @p422 @t157) % 2.12/2.34 (assume-push @p423 @t149) % 2.12/2.34 (assume-push @p424 @t157) % 2.12/2.34 (step @p310 :rule trans :premises (@p422 @p218)) % 2.12/2.34 (step-pop @p425 :rule scope :premises (@p310)) % 2.12/2.34 (step-pop @p426 :rule scope :premises (@p425)) % 2.12/2.34 (step @p311 :rule process_scope :premises (@p426) :args (@t152)) % 2.12/2.34 (step @p314 :rule and_intro :premises (@p188 @p422)) % 2.12/2.34 (step @p315 :rule modus_ponens :premises (@p314 @p311)) % 2.12/2.34 (step-pop @p427 :rule scope :premises (@p315)) % 2.12/2.34 (step-pop @p428 :rule scope :premises (@p427)) % 2.12/2.34 (step @p316 :rule process_scope :premises (@p428) :args (@t152)) % 2.12/2.34 (step @p319 :rule implies_elim :premises (@p316)) % 2.12/2.34 (step @p320 :rule cnf_and_neg :args (@t194)) % 2.12/2.34 (step @p321 :rule resolution :premises (@p320 @p319) :args (true @t194)) % 2.12/2.34 (step @p322 :rule reordering :premises (@p321) :args ((or @t152 @t193 @t195))) % 2.12/2.34 (step @p323 :rule chain_m_resolution :premises (@p322 @p305 @p188) :args (@t195 @t196 (@list @t152 @t149))) % 2.12/2.34 (step @p324 :rule refl :args (@t157)) % 2.12/2.34 (step @p325 :rule eq-symm :args (@t163 tptp.sk4)) % 2.12/2.34 (step @p326 :rule nary_cong :premises (@p325 @p324) :args (@t170)) % 2.12/2.34 (step @p327 :rule eq_resolve :premises (@p202 @p326)) % 2.12/2.34 (step @p328 :rule reordering :premises (@p327) :args ((or @t157 @t197))) % 2.12/2.34 (step @p329 :rule chain_m_resolution :premises (@p328 @p323) :args (@t197 @t198 @t199)) % 2.12/2.34 (assume-push @p429 @t146) % 2.12/2.34 (assume-push @p430 @t148) % 2.12/2.34 (assume-push @p431 @t197) % 2.12/2.34 (assume-push @p432 @t146) % 2.12/2.34 (assume-push @p433 @t148) % 2.12/2.34 (assume-push @p434 @t197) % 2.12/2.34 (step @p336 :rule true_intro :premises (@p184)) % 2.12/2.34 (step @p256 :rule symm :premises (@p187)) % 2.12/2.34 (step @p337 :rule symm :premises (@p431)) % 2.12/2.34 (step @p338 :rule trans :premises (@p337 @p256)) % 2.12/2.34 (step @p339 :rule cong :premises (@p338) :args (@t200)) % 2.12/2.34 (step @p340 :rule trans :premises (@p339 @p336)) % 2.12/2.34 (step @p341 :rule true_elim :premises (@p340)) % 2.12/2.34 (step-pop @p435 :rule scope :premises (@p341)) % 2.12/2.34 (step-pop @p436 :rule scope :premises (@p435)) % 2.12/2.34 (step-pop @p437 :rule scope :premises (@p436)) % 2.12/2.34 (step @p342 :rule process_scope :premises (@p437) :args (@t200)) % 2.12/2.34 (step @p346 :rule and_intro :premises (@p184 @p187 @p431)) % 2.12/2.34 (step @p347 :rule modus_ponens :premises (@p346 @p342)) % 2.12/2.34 (step-pop @p438 :rule scope :premises (@p347)) % 2.12/2.34 (step-pop @p439 :rule scope :premises (@p438)) % 2.12/2.34 (step-pop @p440 :rule scope :premises (@p439)) % 2.12/2.34 (step @p348 :rule process_scope :premises (@p440) :args (@t200)) % 2.12/2.34 (step @p352 :rule implies_elim :premises (@p348)) % 2.12/2.34 (step @p353 :rule cnf_and_neg :args (@t201)) % 2.12/2.34 (step @p354 :rule resolution :premises (@p353 @p352) :args (true @t201)) % 2.12/2.34 (step @p355 :rule chain_m_resolution :premises (@p354 @p184 @p187 @p329) :args (@t200 @t202 (@list @t146 @t148 @t197))) % 2.12/2.34 (step @p356 :rule reordering :premises (@p200) :args ((or @t157 @t159))) % 2.12/2.34 (step @p357 :rule chain_m_resolution :premises (@p356 @p323) :args (@t159 @t198 @t199)) % 2.12/2.34 (step @p358 :rule reordering :premises (@p199) :args ((or @t157 @t158))) % 2.12/2.34 (step @p359 :rule chain_m_resolution :premises (@p358 @p323) :args (@t158 @t198 @t199)) % 2.12/2.34 (step @p360 :rule cnf_or_pos :args (@t208)) % 2.12/2.34 (step @p361 :rule reordering :premises (@p360) :args ((or @t205 @t206 @t207 @t204 @t203 (not @t208)))) % 2.12/2.34 (step @p362 :rule chain_m_resolution :premises (@p361 @p185 @p359 @p357 @p355 @p251) :args (@t203 (@list false false false false false) (@list @t147 @t158 @t159 @t200 @t208))) % 2.12/2.34 (assume-push @p441 @t148) % 2.12/2.34 (assume-push @p442 @t197) % 2.12/2.34 (assume-push @p443 @t203) % 2.12/2.34 (assume-push @p444 @t203) % 2.12/2.34 (assume-push @p445 @t197) % 2.12/2.34 (assume-push @p446 @t148) % 2.12/2.34 (step @p369 :rule true_intro :premises (@p443)) % 2.12/2.34 (step @p370 :rule refl :args (tptp.sk3)) % 2.12/2.34 (step @p371 :rule trans :premises (@p187 @p442)) % 2.12/2.34 (step @p372 :rule cong :premises (@p371 @p370) :args (@t209)) % 2.12/2.34 (step @p373 :rule trans :premises (@p372 @p369)) % 2.12/2.34 (step @p374 :rule true_elim :premises (@p373)) % 2.12/2.34 (step-pop @p447 :rule scope :premises (@p374)) % 2.12/2.34 (step-pop @p448 :rule scope :premises (@p447)) % 2.12/2.34 (step-pop @p449 :rule scope :premises (@p448)) % 2.12/2.34 (step @p375 :rule process_scope :premises (@p449) :args (@t209)) % 2.12/2.34 (step @p379 :rule and_intro :premises (@p443 @p442 @p187)) % 2.12/2.34 (step @p380 :rule modus_ponens :premises (@p379 @p375)) % 2.12/2.34 (step-pop @p450 :rule scope :premises (@p380)) % 2.12/2.34 (step-pop @p451 :rule scope :premises (@p450)) % 2.12/2.34 (step-pop @p452 :rule scope :premises (@p451)) % 2.12/2.34 (step @p381 :rule process_scope :premises (@p452) :args (@t209)) % 2.12/2.34 (step @p385 :rule implies_elim :premises (@p381)) % 2.12/2.34 (step @p386 :rule cnf_and_neg :args (@t210)) % 2.12/2.34 (step @p387 :rule resolution :premises (@p386 @p385) :args (true @t210)) % 2.12/2.34 (step @p388 :rule chain_m_resolution :premises (@p387 @p187 @p329 @p362) :args (@t209 @t202 (@list @t148 @t197 @t203))) % 2.12/2.34 (step @p389 :rule cnf_or_pos :args (@t215)) % 2.12/2.34 (step @p390 :rule reordering :premises (@p389) :args ((or @t205 @t214 @t212 @t211 (not @t215)))) % 2.12/2.34 (step @p391 :rule chain_m_resolution :premises (@p390 @p185 @p388 @p222 @p212) :args (@t214 (@list false false false false) (@list @t147 @t209 @t174 @t215))) % 2.12/2.34 (step @p392 :rule cnf_or_pos :args (@t216)) % 2.12/2.34 (step @p393 :rule reordering :premises (@p392) :args ((or @t157 @t187 @t205 @t213 @t217))) % 2.12/2.34 (step @p394 :rule chain_m_resolution :premises (@p393 @p323 @p8 @p185 @p391) :args (@t217 (@list true false false true) (@list @t157 @t1 @t147 @t213))) % 2.12/2.34 (assume-push @p453 @t218) % 2.12/2.34 (step @p396 :rule instantiate :premises (@p211) :args ((@list tptp.nil tptp.sk3))) % 2.12/2.34 (step-pop @p454 :rule scope :premises (@p396)) % 2.12/2.34 (step @p397 :rule process_scope :premises (@p454) :args (@t216)) % 2.12/2.34 (step @p399 :rule implies_elim :premises (@p397)) % 2.12/2.34 (step @p400 false :rule chain_m_resolution :premises (@p399 @p394 @p211) :args (false @t196 (@list @t216 @t218))) % 2.12/2.34 ) % 2.12/2.35 % SZS output end Proof % 2.12/2.35 % cvc5 exiting %------------------------------------------------------------------------------